Since black holes are fiction anything is possible paradoxes being a sweetner to the already tantalizing fruitcake master piece. Black holes appear in the dream world of division by zero. Anything divided by zero is what the divider wishes it to be.
Division by zero is impossible and does not equates to 100%
El origen a los números negativos se remonta al año 628, cuando Brahmagupta (568-670) un matemático y astrónomo indio, consideró los números negativos y el cero por primera vez en su obra Brahmasphutasiddhanta, a los que el llamaba las deudas y la nada.
who talks about limits here? I talk about division by zero; in ordinary arithmetic a/0 has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a is not 0), and so division by zero is UNDEFINED; yea, whoever “taught” you maths, that is
Announcement 478: Who did derive first the division by zero 1/0 and the division by zero calculus $\tan(\pi/2)=0, \log 0=0$ as the outputs of a computer? The Institute of Reproducing Kernels is dealing with the theory of division by zero calculus and declares that the division by zero was discovered as $0/0=1/0=z/0=0$ in a natural sense on 2014.2.2. The result shows a new basic idea on the universe and space since Aristotele (BC384 – BC322) and Euclid (BC 3 Century – ), and the division by zero is since Brahmagupta (598 – 668 ?). Black holes are where God divided by 0:Division by zero: 1/0=0/0=z/0=tan(pi/2)=0 発見8周年を迎えて Reproducing Kernel Research Institute Division by Zero Solved
author{{\it Institute of Reproducing Kernels}\\ Kawauchi-cho, 5-1648-16,\\ Kiryu 376-0041, Japan\\ {\bf kbdmm360@yahoo.co.jp}\\ } \date{2021.1.26.} \maketitle The Institute of Reproducing Kernels is dealing with the theory of division by zero calculus and declares that the division by zero was discovered as $0/0=1/0=z/0=0$ in a natural sense on 2014.2.2. The result shows a new basic idea on the universe and space since Aristotele (BC384 – BC322) and Euclid (BC 3 Century – ), and the division by zero is since Brahmagupta (598 – 668 ?). However, note that the division by zero $1/0=0$ having a mysterious long history was, in fact, known as the generalized Moore-Penrose solution of the fundamental equation: $ax=b$.
However, it has been denied since Aristotle (384 BC-322 BC), including the mistake of genius Euler, and does not include division by zero, which is said to have been a concern for Einstein’s life. A regrettable math. The four arithmetic operations were incomplete. Therefore, the following formula should be the equation following 17.
M. Kuroda, H. Michiwaki, S. Saitoh, and M. Yamane,
New meanings of the division by zero and interpretations on 100/0=0 and on 0/0=0,
Int. J. Appl. Math. Vol. 27, No 2 (2014), pp. 191-198, DOI: 10.12732/ijam.v27i2.9.
S. Saitoh, Generalized inversions of Hadamard and tensor products for matrices, Advances in Linear Algebra \& Matrix Theory. Vol.4 No.2 (2014), 87-95.http://www.scirp.org/journal/ALAMT/
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
This is what author Bhaskar Kamble shared: Brahmasphutasiddhanta is from the 7th c. in India. It took a while for the mathematics to travel to the Arabs and then to the Europeans.
Black holes are possible but compressed material would have a size: Earth = golf ball An infinite density, zero volume “singularity” is fantasy math, division by zero. Density = mass / volume Third graders know you cannot divide by zero #StopTheNonsense
In the philosophy of the ancient Greek Anaxagoras, as claimed by the Roman atomist Lucretius,[1] it was assumed that the atoms …. For example, the reason validity fails may be a division by zero that is hidden by algebraic notation. There is a …
The null set is conceptually similar to the role of the number “zero” as it is used in quantum field theory. In quantum field theory, one can take the empty set, the vacuum, and generate all possible physical configurations of the Universe being modelled by acting on it with creation operators, and one can similarly change from one thing to another by applying mixtures of creation and anihillation operators to suitably filled or empty states. The anihillation operator applied to the vacuum, however, yields zero.
Zero in this case is the null set – it stands, quite literally, for no physical state in the Universe. The important point is that it is not possible to act on zero with a creation operator to create something; creation operators only act on the vacuum which is empty but not zero. Physicists are consequently fairly comfortable with the existence of operations that result in “nothing” and don’t even require that those operations be contradictions, only operationally non-invertible.
It is also far from unknown in mathematics. When considering the set of all real numbers as quantities and the operations of ordinary arithmetic, the “empty set” is algebraically the number zero (absence of any quantity, positive or negative). However, when one performs a division operation algebraically, one has to be careful to exclude division by zero from the set of permitted operations! The result of division by zero isn’t zero, it is “not a number” or “undefined” and is not in the Universe of real numbers.
Just as one can easily “prove” that 1 = 2 if one does algebra on this set of numbers as if one can divide by zero legitimately3.34, so in logic one gets into trouble if one assumes that the set of all things that are in no set including the empty set is a set within the algebra, if one tries to form the set of all sets that do not include themselves, if one asserts a Universal Set of Men exists containing a set of men wherein a male barber shaves all men that do not shave themselves3.35.
It is not – it is the null set, not the empty set, as there can be no male barbers in a non-empty set of men (containing at least one barber) that shave all men in that set that do not shave themselves at a deeper level than a mere empty list. It is not an empty set that could be filled by some algebraic operation performed on Real Male Barbers Presumed to Need Shaving in trial Universes of Unshaven Males as you can very easily see by considering any particular barber, perhaps one named “Socrates”, in any particular Universe of Men to see if any of the sets of that Universe fit this predicate criterion with Socrates as the barber. Take the empty set (no men at all). Well then there are no barbers, including Socrates, so this cannot be the set we are trying to specify as it clearly must contain at least one barber and we’ve agreed to call its relevant barber Socrates. (and if it contains more than one, the rest of them are out of work at the moment).
Suppose a trial set contains Socrates alone. In the classical rendition we ask, does he shave himself? If we answer “no”, then he is a member of this class of men who do not shave themselves and therefore must shave himself. Oops. Well, fine, he must shave himself. However, if he does shave himself, according to the rules he can only shave men who don’t shave themselves and so he doesn’t shave himself. Oops again. Paradox. When we try to apply the rule to a potential Socrates to generate the set, we get into trouble, as we cannot decide whether or not Socrates should shave himself.
Note that there is no problem at all in the existential set theory being proposed. In that set theory either Socrates must shave himself as All Men Must Be Shaven and he’s the only man around. Or perhaps he has a beard, and all men do not in fact need shaving. Either way the set with just Socrates does not contain a barber that shaves all men because Socrates either shaves himself or he doesn’t, so we shrug and continue searching for a set that satisfies our description pulled from an actual Universe of males including barbers. We immediately discover that adding more men doesn’t matter. As long as those men, barbers or not, either shave themselves or Socrates shaves them they are consistent with our set description (although in many possible sets we find that hey, other barbers exist and shave other men who do not shave themselves), but in no case can Socrates (as our proposed single barber that shaves all men that do not shave themselves) be such a barber because he either shaves himself (violating the rule) or he doesn’t (violating the rule). Instead of concluding that there is a paradox, we observe that the criterion simply doesn’t describe any subset of any possible Universal Set of Men with no barbers, including the empty set with no men at all, or any subset that contains at least Socrates for any possible permutation of shaving patterns including ones that leave at least some men unshaven altogether.
I understand your note as if you are saying the limit is infinity but nothing is equal to infinity, but you concluded corretly infinity is undefined. Your example of getting the denominator smaller and smalser the result of the division is a very large number that approches infinity. This is the intuitive mathematical argument that plunged philosophy into mathematics. at that level abstraction mathematics, as well as phyisics become the realm of philosophi. The notion of infinity is more a philosopy question than it is mathamatical. The reason we cannot devide by zero is simply axiomatic as Plato pointed out. The underlying reason for the axiom is because sero is nothing and deviding something by nothing is undefined. That axiom agrees with the notion of limit infinity, i.e. undefined. There are more phiplosphy books and thoughts about infinity in philosophy books than than there are discussions on infinity in math books.
Lea esta bitácora en español There is a mathematical concept that says that division by zero has no meaning, or is an undefined expression, because it is impossible to have a real number that could be multiplied by zero in order to obtain another number different from zero. While this mathematical concept has been held as true for centuries, when it comes to the human level the present situation in global societies has, for a very long time, been contradicting it. It is true that we don’t all live in a mathematical world or with mathematical concepts in our heads all the time. However, we cannot deny that societies around the globe are trying to disprove this simple mathematical concept: that division by zero is an impossible equation to solve. Yes! We are all being divided by zero tolerance, zero acceptance, zero love, zero compassion, zero willingness to learn more about the other and to find intelligent and fulfilling ways to adapt to new ideas, concepts, ways of doing things, people and cultures. We are allowing these ‘zero denominators’ to run our equations, our lives, our souls. Each and every single day we get more divided and distanced from other people who are different from us. We let misinformation and biased concepts divide us, and we buy into these aberrant concepts in such a way, that we get swept into this division by zero without checking our consciences first. I believe, however, that if we change the zeros in any of the “divisions by zero” that are running our lives, we will actually be able to solve the non-mathematical concept of this equation: the human concept. >I believe deep down that we all have a heart, a conscience, a brain to think with, and, above all, an immense desire to learn and evolve. And thanks to all these positive things that we do have within, I also believe that we can use them to learn how to solve our “division by zero” mathematical impossibility at the human level. I am convinced that the key is open communication and an open heart. Nothing more, nothing less. Are we scared of, or do we feel baffled by the way another person from another culture or country looks in comparison to us? Are we bothered by how people from other cultures dress, eat, talk, walk, worship, think, etc.? Is this fear or bafflement so big that we much rather reject people and all the richness they bring within? How about if instead of rejecting or retreating from that person—division of our humanity by zero tolerance or zero acceptance—we decided to give them and us a chance? How about changing that zero tolerance into zero intolerance? Why not dare ask questions about the other person’s culture and way of life? Let us have the courage to let our guard down for a moment and open up enough for this person to ask us questions about our culture and way of life. How about if we learned to accept that while a person from another culture is living and breathing in our own culture, it is totally impossible for him/her to completely abandon his/her cultural values in order to become what we want her to become? Let’s be totally honest with ourselves at least: Would any of us really renounce who we are and where we come from just to become what somebody else asks us to become? If we are not willing to lose our identity, why should we ask somebody else to lose theirs? I believe with all my heart that if we practiced positive feelings—zero intolerance, zero non-acceptance, zero indifference, zero cruelty—every day, the premise that states that division by zero is impossible would continue being true, not only in mathematics, but also at the human level. We would not be divided anymore; we would simply be building a better world for all of us. Hoping to have touched your soul in a meaningful way, Adriana Adarve, Asheville, NC https://adarvetranslations.com/…/our-humanity-and-division…/
5000年?????
2017年09月01日(金)NEW ! テーマ:数学 Former algebraic approach was formally perfect, but it merely postulated existence of sets and morphisms [18] without showing methods to construct them. The primary concern of modern algebras is not how an operation can be performed, but whether it maps into or onto and the like abstract issues [19–23]. As important as this may be for proofs, the nature does not really care about all that. The PM’s concerns were not constructive, even though theoretically significant. We need thus an approach that is more relevant to operations performed in nature, which never complained about morphisms or the allegedly impossible division by zero, as far as I can tell. Abstract sets and morphisms should be de-emphasized as hardly operational. My decision to come up with a definite way to implement the feared division by zero was not really arbitrary, however. It has removed a hidden paradox from number theory and an obvious absurd from algebraic group theory. It was necessary step for full deployment of constructive, synthetic mathematics (SM) [2,3]. Problems hidden in PM implicitly affect all who use mathematics, even though we may not always be aware of their adverse impact on our thinking. Just take a look at the paradox that emerges from the usual prescription for multiplication of zeros that remained uncontested for some 5000 years 0 0 ¼ 0 ) 0 1=1 ¼ 0 ) 0 1 ¼ 0 1) 1ð? ¼ ?Þ1 ð0aÞ This ‘‘fact’’ was covered up by the infamous prohibition on division by zero [2]. How ingenious. If one is prohibited from dividing by zero one could not obtain this paradox. Yet the prohibition did not really make anything right. It silenced objections to irresponsible reasonings and prevented corrections to the PM’s flamboyant axiomatizations. The prohibition on treating infinity as invertible counterpart to zero did not do any good either. We use infinity in calculus for symbolic calculations of limits [24], for zero is the infinity’s twin [25], and also in projective geometry as well as in geometric mapping of complex numbers. Therein a sphere is cast onto the plane that is tangent to it and its free (opposite) pole in a point at infinity [26–28]. Yet infinity as an inverse to the natural zero removes the whole absurd (0a), for we obtain [2] 0 ¼ 1=1 ) 0 0 ¼ 1=12 > 0 0 ð0bÞ Stereographic projection of complex numbers tacitly contradicted the PM’s prescribed way to multiply zeros, yet it was never openly challenged. The old formula for multiplication of zeros (0a) is valid only as a practical approximation, but it is group-theoretically inadmissible in no-nonsense reasonings. The tiny distinction in formula (0b) makes profound theoretical difference for geometries and consequently also for physical applications. T https://www.plover.com/misc/CSF/sdarticle.pdf
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10,000 Year Clock by Renny Pritikin Conversation with Paolo Salvagione, lead engineer on the 10,000-year clock project, via e-mail in February 2010.
For an introduction to what we’re talking about here’s a short excerpt from a piece by Michael Chabon, published in 2006 in Details: ….Have you heard of this thing? It is going to be a kind of gigantic mechanical computer, slow, simple and ingenious, marking the hour, the day, the year, the century, the millennium, and the precession of the equinoxes, with a huge orrery to keep track of the immense ticking of the six naked-eye planets on their great orbital mainspring. The Clock of the Long Now will stand sixty feet tall, cost tens of millions of dollars, and when completed its designers and supporters plan to hide it in a cave in the Great Basin National Park in Nevada, a day’s hard walking from anywhere. Oh, and it’s going to run for ten thousand years. But even if the Clock of the Long Now fails to last ten thousand years, even if it breaks down after half or a quarter or a tenth that span, this mad contraption will already have long since fulfilled its purpose. Indeed the Clock may have accomplished its greatest task before it is ever finished, perhaps without ever being built at all. The point of the Clock of the Long Now is not to measure out the passage, into their unknown future, of the race of creatures that built it. The point of the Clock is to revive and restore the whole idea of the Future, to get us thinking about the Future again, to the degree if not in quite the way same way that we used to do, and to reintroduce the notion that we don’t just bequeath the future—though we do, whether we think about it or not. We also, in the very broadest sense of the first person plural pronoun, inherit it.
Renny Pritikin: When we were talking the other day I said that this sounds like a cross between Borges and the vast underground special effects from Forbidden Planet. I imagine you hear lots of comparisons like that…
Paolo Salvagione: (laughs) I can’t say I’ve heard that comparison. A childhood friend once referred to the project as a cross between Tinguely and Fabergé. When talking about the clock, with people, there’s that divide-by-zero moment (in the early days of computers to divide by zero was a sure way to crash the computer) and I can understand why. Where does one place, in one’s memory, such a thing, such a concept? After the pause, one could liken it to a reboot, the questions just start streaming out.
RP: OK so I think the word for that is nonplussed. Which the thesaurus matches with flummoxed, bewildered, at a loss. So the question is why even (I assume) fairly sophisticated people like your friends react like that. Is it the physical scale of the plan, or the notion of thinking 10,000 years into the future—more than the length of human history?
PS: I’d say it’s all three and more. I continue to be amazed by the specificity of the questions asked. Anthropologists ask a completely different set of questions than say, a mechanical engineer or a hedge fund manager. Our disciplines tie us to our perspectives. More than once, a seemingly innocent question has made an impact on the design of the clock. It’s not that we didn’t know the answer, sometimes we did, it’s that we hadn’t thought about it from the perspective of the person asking the question. Back to your question. I think when sophisticated people, like you, thread this concept through their own personal narrative it tickles them. Keeping in mind some people hate to be tickled.
RP: Can you give an example of a question that redirected the plan? That’s really so interesting, that all you brainiacs slaving away on this project and some amateur blithely pinpoints a problem or inconsistency or insight that spins it off in a different direction. It’s like the butterfly effect.
PS: Recently a climatologist pointed out that our equation of time cam, (photo by Rolfe Horn) (a cam is a type of gear: link) a device that tracks the difference between solar noon and mundane noon as well as the precession of the equinoxes, did not account for the redistribution of water away from the earth’s poles. The equation-of-time cam is arguably one of the most aesthetically pleasing parts of the clock. It also happens to be one that is fairly easy to explain. It visually demonstrates two extremes. If you slice it, like a loaf of bread, into 10,000 slices each slice would represent a year. The outside edge of the slice, let’s call it the crust, represents any point in that year, 365 points, 365 days. You could, given the right amount of magnification, divide it into hours, minutes, even seconds. Stepping back and looking at the unsliced cam the bottom is the year 2000 and the top is the year 12000. The twist that you see is the precession of the equinoxes. Now here’s the fun part, there’s a slight taper to the twist, that’s the slowing of the earth on its axis. As the ice at the poles melts we have a redistribution of water, we’re all becoming part of the “slow earth” movement.
RP: Are you familiar with Charles Ray’s early work in which you saw a plate on a table, or an object on the wall, and they looked stable, but were actually spinning incredibly slowly, or incredibly fast, and you couldn’t tell in either case? Or, more to the point, Tim Hawkinson’s early works in which he had rows of clockwork gears that turned very very fast, and then down the line, slower and slower, until at the end it approached the slowness that you’re dealing with?
PS: The spinning pieces by Ray touches on something we’re trying to avoid. We want you to know just how fast or just how slow the various parts are moving. The beauty of the Ray piece is that you can’t tell, fast, slow, stationary, they all look the same. I’m not familiar with the Hawkinson clockwork piece. I’ve see the clock pieces where he hides the mechanism and uses unlikely objects as the hands, such as the brass clasp on the back of a manila envelope or the tab of a coke can.
RP: Spin Sink (1 Rev./100 Years) (1995), in contrast, is a 24-foot-long row of interlocking gears, the smallest of which is driven by a whirring toy motor that in turn drives each consecutively larger and more slowly turning gear up to the largest of all, which rotates approximately once every one hundred years.
PS: I don’t know how I missed it, it’s gorgeous. Linking the speed that we can barely see with one that we rarely have the patience to wait for.
RP: : So you say you’ve opted for the clock’s time scale to be transparent. How will the clock communicate how fast it’s going?
PS: By placing the clock in a mountain we have a reference to long time. The stratigraphy provides us with the slowest metric. The clock is a middle point between millennia and seconds. Looking back 10,000 years we find the beginnings of civilization. Looking at an earthenware vessel from that era we imagine its use, the contents, the craftsman. The images painted or inscribed on the outside provide some insight into the lives and the languages of the distant past. Often these interpretations are flawed, biased or over-reaching. What I’m most enchanted by is that we continue to construct possible pasts around these objects, that our curiosity is overwhelming. We line up to see the treasures of Tut, or the remains of frozen ancestors. With the clock we are asking you to create possible futures, long futures, and with them the narratives that made them happen.
*057 Pinelas,S./Caraballo,T./Kloeden,P./Graef,J.(eds.): Differential and Difference Equations with Applications: ICDDEA, Amadora, 2017. (Springer Proceedings in Mathematics and Statistics, Vol. 230) May 2018 587 pp.
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
私は数学を信じない。 アルバート・アインシュタイン / I don’t believe in mathematics. Albert Einstein→ゼロ除算ができなかったからではないでしょうか。
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
私は数学を信じない。 アルバート・アインシュタイン / I don’t believe in mathematics. Albert Einstein→ゼロ除算ができなかったからではないでしょうか。1423793753.460.341866474681。
1) The number one ingredient for a catastrophic event in which the universe enfolds and collapses on itself and life as we know it ceases to exist. 2) A mathematical equation such as a/0 whereas a is some number and 0 is the divisor. Look it up on Wikipedia or something. Pretty confusing shit. 3) A reason for an error in programming
Hey, I divided by zero! …Oh shi- a/0 Run-time error: ’11’: Division by zero
When even math shows you that not everything can be figured out with math. When you divide by zero, math kicks you in the shins and says “yeah, there’s kind of an answer, but it ain’t just some number.” It’s when mathematicians become philosophers.
Math: Let’s say you have ZERO apples, and THREE people. How many apples does each person get? ZERO, cause there were no apples to begin with
Not-math because of dividing by zero: Let’s say there are THREE apples, and ZERO people. How many apples does each person get? Friggin… How the Fruitcock should I know! How can you figure out how many apples each person gets if there’s no people to get them?!? You’d think it’d be infinity, but not really. It could almost be any number, cause you could be like “each person gets 400 apples” which would be true, because all the people did get 400 apples, because there were no people. So all the people also got 42 apples, and a million and 7 apples. But it’s still wrong.
Division by zero that continues to beat the calculator:
The value of a ^ x / log a a = 1 can be the correct answer x,
You can’t use a calculator.
The above function is defined when a is not 1, and its derivative is a ^ x.
So our solution fits well. There is utility. It was
Don’t think about it because our math is incomplete and lacking.
Mathematics that doesn’t notice such a simple law is embarrassing. By chance, Mr. Okumura was verified
a ^ x / log a
His Laurent expansion at a = 1 found that one famous computer system was wrong, but I also confirmed the mistake with other software and contacted the person in charge. It was answered when considering it.
The computer system is outputting by mistake. This may be a social problem in some cases.
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
George Gamow (1904-1968) Russian-born American nuclear physicist and cosmologist remarked that “it is well known to students of high school algebra” that division by zero is not valid; and Einstein admitted it as {\bf the biggest blunder of his life} [1]:1. Gamow, G., My World Line (Viking, New York). p 44, 1970.
Q. “The room exploded in deep thumps,” recalled paleontologist Julia Clark in describing the heart-pounding experience years earlier when she visited a breeding project at New York’s Bronx Zoo. What was doing the thumping, and how does it relate to those “beloved beasts of the Mesozoic,” the dinosaurs?
A. Dinosaurs, it turns out, didn’t roar since “their anatomy just wasn’t built for it,” but they weren’t mute either, says Gemma Tarlach in “Discover” magazine. After Clark and colleagues studied the anatomy and sound repertoire of their nearest living relatives – birds and crocodilians – they concluded that dinos “probably mostly made closed-mouth vocalizations, like crocodilians today” (“Evolution”).
At the zoo, Clark visited a Chinese alligator breeding room and when a door slammed shut, every male alligator erupted in “THUMP THUMP THUMP THUMP.”
Concludes Tarlach, “Now consider that ominous thumping coming from a T.rex, more than 100 times the size.”
Q. The year was 1917, the place Halifax, Nova Scotia, the event perhaps “the largest man-made accidental explosion in history,” killing 2,000 people and injuring 9,000 more. What happened?
A. Just before 8:45 a.m. on December 6, two ships collided in Halifax waters: the SS Imo, an empty Norwegian passenger/freight ship; and France’s SS Mont Blanc, a cargo ship loaded with munitions to support the war effort, says Dan Lewis in his book “Now I Know.” Though the French crew made it to safety, the explosion that followed when Mont Blanc’s payload caught fire registered an intensity “roughly one-seventh to one-fifth that of the atomic bomb that struck Hiroshima.” The fallout? The ship was instantly vaporized, a mile-high fire plume erupted, a roughly square-mile blast area was destroyed, and buildings as far as 10 miles from the epicenter sustained structural damage. The aftermath of the explosion included a 60-foot- high tsunami wave at the waterfront, a 10-minute black, sooty “rainfall,” and the destruction of the Royal Naval College of Canada.
Taking all of this into account, the Halifax tragedy “is widely considered the worst man-made accidental explosion in history,” killing more Nova Scotians than were lost in World War I.
Q. There are different beginnings and endings to many things, true of people as well. What’s one picturesque A-to-Z offshoot for homo sapiens?
A. Human life begins with an inhalation and ends with an exhalation, averaging some 500 million breaths of life overall – sustaining our air and bathing our nostrils in a stream of scent-laden molecules, says David G. Myers and C. Nathan Dewall in “Exploring Psychology.” Odor molecules come in many shapes and sizes, so many in fact that it requires an enormous number of olfactory receptors to detect them: Humans have some 20 million of these, a bloodhound 220 million.
The number of scents humans can discriminate is equally impressive. Just as the 26 A-to-Z letters of the English alphabet can combine to form many words, so odor molecules bind to different receptor arrays, producing at least 1 trillion (1,000,000,000,000) possible odors. “It is the combination of olfactory receptors, which activate different neuron patterns, that allows us to distinguish between the aromas of fresh-brewed and hours-old coffee.”
Q. What interest did Brahmagupta (India c. 628) and Al-Khwarizmi (Persia c. 780-850) have in common?
A. They were both early “heroes” of the number zero, as described in “New Scientist” magazine’s book “The Origin of (almost) Everything.” Brahmagupta was “the first person to write down rules for adding, subtracting, multiplying and dividing with zero”:
1. Zero plus a positive number is positive.
2. Zero plus a negative number is negative.
3. Zero plus zero is zero.
4. Zero minus a positive number is negative.
5. Zero minus a negative number is positive.
6. Zero minus zero is zero.
7. A number multiplied by zero is zero.
Only the eighth rule – A number divided by zero is zero – is now regarded as incorrect; rather, such an action yields infinity.
Some two hundred years later, “Al-Khwarizmi helped spread the Hindu number system, which introduced zero as a circle to mark empty columns.” He is also credited with developing the problem-solving method known as algebra. When no number appears in the place of tens, then a little circle should be used to keep the rows. This circle called “sifr,” or “empty” in Arabic, eventually became “zero.”
Q. Here’s one for all you Twitterers out there: On what day of the week and at what time of day are your words likely to be positive? When might they be more negative?
A. The answer rests with “big data” and “small science,” that can be done with pen and paper rather than fancy equipment and a big budget, say David G. Myers and C. Nathan Dewall in “Exploring Psychology.” Employing new technologies, such as smart-phone apps, body-worn sensors and social media, researchers use “big data” naturalistic observation to freely track people’s location, activities and opinions. Imagine for a moment the data pouring in from the billions of people on Facebook, Twitter, and Google. “One research team studied the ups and downs of human moods by counting positive and negative words in 504 million Twitter messages from 84 countries.” Perhaps not surprisingly, they found that people seem happier on weekends, shortly after arising and in the evening, with positive posts highest late Saturday night. Positive posts were lowest on Tuesday afternoons.
Interestingly, “another study found that the proportion of negative emotions (especially anger-related words) in 148 million tweets from 1347 U.S. counties predicted the counties’ heart disease rates, and did so even better than other predictors such as smoking and obesity.”http://www.waterford-today.ie/waterford-lifestyle/9846-strange-but-true-
The problem of dividing by zero and dividing by zero is, in fact, quite commonplace. It was
Zero has the property of expressing what he does not have, what he does not do, and what he cannot do. 3-3 = 0 It means that if you subtract the same number, it will disappear. Indicates that there is no such thing. 3 x 0 = 0 It means that 3 is never added. Multiplication is multiplication, which means adding repeatedly, but multiplying by 0 means never adding, so multiplying by 0 means that he is zero.
ince 3/0 does not divide 3, the number assigned is zero for him. Since it is not divided, the allocated number is zero. Of course.
Since 2000 or more Aristotle, division by zero is impossible, and I shouldn’t think about it because I didn’t understand the meaning of zero well, and I thought that the opposite of division by zero would hold even if it was zero.
I didn’t understand the meaning of zero.
The elucidation of this division by zero opens up a new world.
ICDDEA: International Conference on Differential & Difference Equations and Applications Differential and Difference Equations with Applications ICDDEA, Amadora, Portugal, June 2017 • Editors
• (view affiliations) • Sandra Pinelas • Tomás Caraballo • Peter Kloeden • John R. Graef Conference proceedingsICDDEA 2017
Albert Einstein’s words on mathematics: Blackholes are where God divided by zero. I don’t believe in mathematics. George Gamow (1904-1968) Russianborn American nuclear physicist and cosmologist remarked that ”it is well known to students of high school algebra” that division by zero is not valid; and Einstein admitted it as the biggest blunder of his life (Gamow, G., My World Line (Viking, New York). p 44, 1970).
Albert Einstein’s words on mathematics: Blackholes are where God divided by zero. I don’t believe in mathematics. George Gamow (1904-1968) Russianborn American nuclear physicist and cosmologist remarked that ”it is well known to students of high school algebra” that division by zero is not valid; and Einstein admitted it as the biggest blunder of his life (Gamow, G., My World Line (Viking, New York). p 44, 1970).
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
George Gamow (1904-1968) Russian-born American nuclear physicist and cosmologist remarked that “it is well known to students of high school algebra” that division by zero is not valid; and Einstein admitted it as {\bf the biggest blunder of his life} [1]:1. Gamow, G., My World Line (Viking, New York). p 44, 1970.
Q. “The room exploded in deep thumps,” recalled paleontologist Julia Clark in describing the heart-pounding experience years earlier when she visited a breeding project at New York’s Bronx Zoo. What was doing the thumping, and how does it relate to those “beloved beasts of the Mesozoic,” the dinosaurs?
A. Dinosaurs, it turns out, didn’t roar since “their anatomy just wasn’t built for it,” but they weren’t mute either, says Gemma Tarlach in “Discover” magazine. After Clark and colleagues studied the anatomy and sound repertoire of their nearest living relatives – birds and crocodilians – they concluded that dinos “probably mostly made closed-mouth vocalizations, like crocodilians today” (“Evolution”).
At the zoo, Clark visited a Chinese alligator breeding room and when a door slammed shut, every male alligator erupted in “THUMP THUMP THUMP THUMP.”
Concludes Tarlach, “Now consider that ominous thumping coming from a T.rex, more than 100 times the size.”
Q. The year was 1917, the place Halifax, Nova Scotia, the event perhaps “the largest man-made accidental explosion in history,” killing 2,000 people and injuring 9,000 more. What happened?
A. Just before 8:45 a.m. on December 6, two ships collided in Halifax waters: the SS Imo, an empty Norwegian passenger/freight ship; and France’s SS Mont Blanc, a cargo ship loaded with munitions to support the war effort, says Dan Lewis in his book “Now I Know.” Though the French crew made it to safety, the explosion that followed when Mont Blanc’s payload caught fire registered an intensity “roughly one-seventh to one-fifth that of the atomic bomb that struck Hiroshima.” The fallout? The ship was instantly vaporized, a mile-high fire plume erupted, a roughly square-mile blast area was destroyed, and buildings as far as 10 miles from the epicenter sustained structural damage. The aftermath of the explosion included a 60-foot- high tsunami wave at the waterfront, a 10-minute black, sooty “rainfall,” and the destruction of the Royal Naval College of Canada.
Taking all of this into account, the Halifax tragedy “is widely considered the worst man-made accidental explosion in history,” killing more Nova Scotians than were lost in World War I.
Q. There are different beginnings and endings to many things, true of people as well. What’s one picturesque A-to-Z offshoot for homo sapiens?
A. Human life begins with an inhalation and ends with an exhalation, averaging some 500 million breaths of life overall – sustaining our air and bathing our nostrils in a stream of scent-laden molecules, says David G. Myers and C. Nathan Dewall in “Exploring Psychology.” Odor molecules come in many shapes and sizes, so many in fact that it requires an enormous number of olfactory receptors to detect them: Humans have some 20 million of these, a bloodhound 220 million.
The number of scents humans can discriminate is equally impressive. Just as the 26 A-to-Z letters of the English alphabet can combine to form many words, so odor molecules bind to different receptor arrays, producing at least 1 trillion (1,000,000,000,000) possible odors. “It is the combination of olfactory receptors, which activate different neuron patterns, that allows us to distinguish between the aromas of fresh-brewed and hours-old coffee.”
Q. What interest did Brahmagupta (India c. 628) and Al-Khwarizmi (Persia c. 780-850) have in common?
A. They were both early “heroes” of the number zero, as described in “New Scientist” magazine’s book “The Origin of (almost) Everything.” Brahmagupta was “the first person to write down rules for adding, subtracting, multiplying and dividing with zero”:
1. Zero plus a positive number is positive.
2. Zero plus a negative number is negative.
3. Zero plus zero is zero.
4. Zero minus a positive number is negative.
5. Zero minus a negative number is positive.
6. Zero minus zero is zero.
7. A number multiplied by zero is zero.
Only the eighth rule – A number divided by zero is zero – is now regarded as incorrect; rather, such an action yields infinity.
Some two hundred years later, “Al-Khwarizmi helped spread the Hindu number system, which introduced zero as a circle to mark empty columns.” He is also credited with developing the problem-solving method known as algebra. When no number appears in the place of tens, then a little circle should be used to keep the rows. This circle called “sifr,” or “empty” in Arabic, eventually became “zero.”
Q. Here’s one for all you Twitterers out there: On what day of the week and at what time of day are your words likely to be positive? When might they be more negative?
A. The answer rests with “big data” and “small science,” that can be done with pen and paper rather than fancy equipment and a big budget, say David G. Myers and C. Nathan Dewall in “Exploring Psychology.” Employing new technologies, such as smart-phone apps, body-worn sensors and social media, researchers use “big data” naturalistic observation to freely track people’s location, activities and opinions. Imagine for a moment the data pouring in from the billions of people on Facebook, Twitter, and Google. “One research team studied the ups and downs of human moods by counting positive and negative words in 504 million Twitter messages from 84 countries.” Perhaps not surprisingly, they found that people seem happier on weekends, shortly after arising and in the evening, with positive posts highest late Saturday night. Positive posts were lowest on Tuesday afternoons.
Interestingly, “another study found that the proportion of negative emotions (especially anger-related words) in 148 million tweets from 1347 U.S. counties predicted the counties’ heart disease rates, and did so even better than other predictors such as smoking and obesity.”http://www.waterford-today.ie/waterford-lifestyle/9846-strange-but-true-
The problem of dividing by zero and dividing by zero is, in fact, quite commonplace. It was
Zero has the property of expressing what he does not have, what he does not do, and what he cannot do. 3-3 = 0 It means that if you subtract the same number, it will disappear. Indicates that there is no such thing. 3 x 0 = 0 It means that 3 is never added. Multiplication is multiplication, which means adding repeatedly, but multiplying by 0 means never adding, so multiplying by 0 means that he is zero.
ince 3/0 does not divide 3, the number assigned is zero for him. Since it is not divided, the allocated number is zero. Of course.
Since 2000 or more Aristotle, division by zero is impossible, and I shouldn’t think about it because I didn’t understand the meaning of zero well, and I thought that the opposite of division by zero would hold even if it was zero.
I didn’t understand the meaning of zero.
The elucidation of this division by zero opens up a new world.
ICDDEA: International Conference on Differential & Difference Equations and Applications Differential and Difference Equations with Applications ICDDEA, Amadora, Portugal, June 2017 • Editors
• (view affiliations) • Sandra Pinelas • Tomás Caraballo • Peter Kloeden • John R. Graef Conference proceedingsICDDEA 2017
Albert Einstein’s words on mathematics: Blackholes are where God divided by zero. I don’t believe in mathematics. George Gamow (1904-1968) Russianborn American nuclear physicist and cosmologist remarked that ”it is well known to students of high school algebra” that division by zero is not valid; and Einstein admitted it as the biggest blunder of his life (Gamow, G., My World Line (Viking, New York). p 44, 1970).
Albert Einstein’s words on mathematics: Blackholes are where God divided by zero. I don’t believe in mathematics. George Gamow (1904-1968) Russianborn American nuclear physicist and cosmologist remarked that ”it is well known to students of high school algebra” that division by zero is not valid; and Einstein admitted it as the biggest blunder of his life (Gamow, G., My World Line (Viking, New York). p 44, 1970).
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
The Institute of Reproducing Kernels is dealing with the theory of division by zero calculus and declares that the division by zero was discovered as $0/0=1/0=z/0=0$ in a natural sense on 2014.2.2. The result shows a new basic idea on the universe and space since Aristotele (BC384 – BC322) and Euclid (BC 3 Century – ), and the division by zero is since Brahmagupta (598 – 668 ?).
Announcement 478: Who did derive first the division by zero 1/0 and the division by zero calculus $\tan(\pi/2)=0, \log 0=0$ as the outputs of a computer?
End of life on earth was we know it? Ancient gods wreaking havoc? Division by zero starts working? Someone deletes 11 lines of JavaScript and breaks the internet? Windows ME?
I believe, the picture shows the average consumption meter from start, and the car hasn’t driven yet. Which is why the consumption is not given in kWh/100km (as they normally do), the result would be a division by zero exception. That’s why they use /h instead.
What is this alternative universe I appear to have landed in? The wrongest man on the internet calling out the second wrongest man on the internet? Who divided by zero? Own up. https://twitter.com/richienrg/status/1482407127167684613
Today I’m wondering what’s the best way to summarize a set of forecasts where the actual values are most often zero. MAPE doesn’t work well because division by zero. I think I’ll go with symmetric MAPE (sMAPE) and MAE.
Surgery : Sushruta Zero : Brahmagupta Aviation : Bharadwaja Chemistry : Nagarjuna Cosmology : Kapil Muni Atomic Theory : Kanada Algebra :Bhaskaracharya Mathematics :Aryabhatta Astronomy : Varahamihira And few ask us who are you ?
Thou Shalt Not Divide By Zero Why can’t we divide by zero? The answer involves the idea of consistency. Division by zero leads either to no number or to any …
Einstein divided by zero to get “infinity” and everyone thinks this is some kind of genius move. https://twitter.com/lunedejeuner/status/1480342858708045828
Reproducing Kernel Research Institute Statement 664 (2022.2.7): Japan can contribute to the world in mathematics and mathematics for elementary, junior high and high school students
2022.2.6.16:00 Just because the concept of this statement came to me, it is interesting as a viewpoint, so I would like to express it frankly. He would think that it is no longer possible to reform elementary mathematics and achieve the basic results understood in mathematics with a long history. In fact, the only mathematicians known to elementary and junior high school students are Euclid and Pythagoras. In high school, Newton and Leibniz may be world-famous for the discovery of calculus.
From this point of view, it can be logically and deterministic that his discovery of division by zero and division by zero has a great influence on global mathematics from elementary mathematics to modern mathematics.
In the first place, he is based on four arithmetic operations, that is, addition, subtraction, multiplication, and division.
However, in India, in 628 Brahmagupta established the introduction of zero and the four arithmetic operations of numbers in a strict sense, but there is a principle that it does not break at zero, which is mysterious as division by zero. Has a history. Historians say that Aristotle (384 BC-322 BC) was the first to think from a physical point of view that it would not break at zero. It is also said to have been a lifelong problem for Einstein. However, on February 2, 2014, division by zero was possible, and the exception was gone. A clear and complete four arithmetic operations have been established. Now it is simple and cheerful.
Unpleasant exceptions and mysterious problems have been clarified. We also provide commentary for elementary school students:
Regeneration Nuclear Research Institute Statement 660 (2022.1.31) Explanation of elementary school students’ arithmetic, addition, subtraction, multiplication, division and dividing by his zero-in response to Einstein’s words-understanding if not explained to a 6-year-old child I can’t say I did.
What I want you to know is the meaning of zero. Adding or subtracting zero does not mean adding or subtracting. He wants you to understand the nature of zero, that you can multiply it by zero, you can’t divide it, you can’t divide it, and you can’t divide it. Even if you multiply by zero or divide it, it is always zero. Zero does not change even if it is added or subtracted.
Until now, the four arithmetic operations of addition, subtraction, multiplication, and division had the only exception that they should not be divided by 0, but now we have created beautiful mathematics that can always be done at any time. Beautiful mathematics has been completed.
The four arithmetic operations are the basics of calculators and the basics of mathematics, so the impact is great:
Basic functions learned by high school students Right-angled bicurve function, function representing inverse proportion y = f (x) = 1 / x The fact that the value at the origin is zero is the basis of zero division and zero division method in the case of functions f ( The result is expressed as 0) = 1/0 = 0. The basic result is
F (x) = f (x) / x
On the other hand, if f (x) is differentiable at the origin, then F (0) = f ^ \ prime (0) = f'(0), so the effect on high school mathematics is already basic and large. ..
The rough impact is as follows:
What is division by zero mathematics?
In short, at his place where the denominator is zero, or with an analytic function that has isolated singularities as so-called poles, or with Laurent expansion, the denominator is zero, poles, or isolated singularities. It means that a meaningful value was defined.
These have extensive implications for Euclidean geometry, analytic geometry, calculus, linear algebra, differential equations, and complex analysis. Currently, have more than 1200 findings and concrete examples. We state that elementary mathematics has a fundamental flaw.
I think that elementary mathematics should be changed considerably. Division by zero is considered to be a shame in world history not only for mathematicians but also for humankind.
Please refer to the following for strict mathematical theory and application, influence on mathematics, source of contents, history, etc .:
Introduction to the Division by Zero Calculus –Scientific …
https: //www.scirp.org ›book› detail …
An amateur-friendly commentary on these maths is also given below over his 55 months:
Mathematics Basic Achievement Study Group Official Website Fun Mathematics
2022.2.6.19: 44 Since my thoughts came up by myself, they were put together at once. The first part is important, the idea.
2023.2.6.220: 52 Approximately good. It seems easy because it is just an expression.
2022.2.7.05: 50 Good, may be completed. There may be a gap in the expression, but it is also good to make use of the freshness as an idea. Check again. I strongly wondered if it was strange that the beginning of mathematics was strange and he said that Euclidean geometry was revolutionizing but was ignored. Is it possible to say that the mathematical world exists? People wonder if they are interested in mathematics.
The problem of dividing by zero and dividing by zero is, in fact, quite commonplace. It was
Zero has the property of expressing what he does not have, what he does not do, and what he cannot do. 3-3 = 0 It means that if you subtract the same number, it will disappear. Indicates that there is no such thing. 3 x 0 = 0 It means that 3 is never added. Multiplication is multiplication, which means adding repeatedly, but multiplying by 0 means never adding, so multiplying by 0 means that he is zero.
ince 3/0 does not divide 3, the number assigned is zero for him. Since it is not divided, the allocated number is zero. Of course.
Since 2000 or more Aristotle, division by zero is impossible, and I shouldn’t think about it because I didn’t understand the meaning of zero well, and I thought that the opposite of division by zero would hold even if it was zero.
I didn’t understand the meaning of zero.
The elucidation of this division by zero opens up a new world.
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
Division by zero? Du machst das gut. Ganz ohne Auto geht nicht, beim Auto müssen wir halt einen sinnvollen Kompromiß finden. Und ja. Natürlich müssen wir öffentl. Verkehrsmittel stärken, Co2 freie Verkehrsmittel bevorzugen. Und ja. Alle müssen eingebunden sein.
Being abstract is your whole problem here. You are being so abstract you are able to say up is down. It is like you divided by zero and now anything is possible.
The Institute of Reproducing Kernels is dealing with the theory of division by zero calculus and declares that the division by zero was discovered as $0/0=1/0=z/0=0$ in a natural sense on 2014.2.2. The result shows a new basic idea on the universe and space since Aristotele (BC384 – BC322) and Euclid (BC 3 Century – ), and the division by zero is since Brahmagupta (598 – 668 ?).
Announcement 478: Who did derive first the division by zero 1/0 and the division by zero calculus $\tan(\pi/2)=0, \log 0=0$ as the outputs of a computer?
The problem of dividing by zero and dividing by zero is, in fact, quite commonplace. It was
Zero has the property of expressing what he does not have, what he does not do, and what he cannot do. 3-3 = 0 It means that if you subtract the same number, it will disappear. Indicates that there is no such thing. 3 x 0 = 0 It means that 3 is never added. Multiplication is multiplication, which means adding repeatedly, but multiplying by 0 means never adding, so multiplying by 0 means that he is zero.
ince 3/0 does not divide 3, the number assigned is zero for him. Since it is not divided, the allocated number is zero. Of course.
Since 2000 or more Aristotle, division by zero is impossible, and I shouldn’t think about it because I didn’t understand the meaning of zero well, and I thought that the opposite of division by zero would hold even if it was zero.
I didn’t understand the meaning of zero.
The elucidation of this division by zero opens up a new world.
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
With this, the world’s military spending will increase, and world history will recede. I think that the good sense of the world dominates the world.
This offends her feelings for Russia and Russia will be punished for a long time. To solve problems, I want to aim for a world that does not use violence in conflicts and does not use the military.
再生核研究所声明649(2022.1.6) 現代数学の欠陥 ー 恥ずかしい数学 (日本数学会の指導的な人から 有難い助言 矛盾が見つかっていないのに欠陥があるというのは,多くの数学者を敵に回すことになりかねませんので,ご発言は慎重になさったほうがいいのではないかと常々心配しております.を頂き、その理解の様子を知って愕然、それで直接的な解説をしたいと考えた。) 我々は繰り返し、現代数学には欠陥があり、恥ずかしい状態だと公言、広く世界の理解を求めてきている。真相は 明かにされなければならない。数学はおかしい と公言している。数学は恥ずかしい状態だと 言明している。 歴史的な判断を求めるために 著書の出版をした。 存念は相当表現して、心は晴れやかである: Introduction to the Division by Zero Calculus – Scientific … https://www.scirp.org › book › detail… Division by Zero Calculus—History and Development https://books.google.com › … › Books 何故数学に欠陥があるのか。 そもそも数学は四則演算が基礎である。ところが割り算には例外があり、ゼロで割ってはいけないが、歴史家によれば物理的な意味から、アリストテレス以来ゼロで割ってはならないという、有名な事実があって、現在でも世情大きな関心になっている。
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
who talks about limits here? I talk about division by zero; in ordinary arithmetic a/0 has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a is not 0), and so division by zero is UNDEFINED; yea, whoever “taught” you maths, that is
Reproducing Kernel Research Institute Statement 656 (2022.1.26) Celebrating the 8th anniversary of the discovery of division by zero-how should I go?
Celebrating the 8th anniversary of the discovery of division by zero (2014.2.2). An international journal specializing in division by zero (https://romanpub.com/dbzc.php), which has published two books over the past year, also includes a basic paper that describes the essence of division by zero in a self-contained manner. I was able to publish it. In particular, one book expresses the progress of division by zero and the desire to understand division by zero on page 316 with the date and time, so I felt like I would never forget: We repeat, He professes to be embarrassed and flawed in modern mathematics, and is seeking widespread understanding of the world. The truth must be revealed. I profess that math is strange. He states that mathematics is embarrassing. Published a book to seek historical judgment. The feelings are expressed considerably, and the heart is radiant:
Introduction to the Division by Zero Calculus –Scientific …
(Statement 659), he would like to contribute to the development of the magazine and to build a good society in the greeting card. I want to express life and the world as well. With that mentioned, I thought about the challenges of life, what life is, the feelings of enlightenment, and the problems of world peace. However, soon I realized that the challenges of life and the problems of world peace have already been clarified:
Reproducing Kernel Research Institute Statement 643 (2021.12.24): What is a human being, what is the meaning of life and what is life?
Reproducing Kernel Research Institute Statement 647 (2022.1.4): Wishing for World Peace-Challenge to Difficulties
I have solved the math problem, but as I haven’t summarized in the paper yet, I have a strange feeling that the essence has already been clarified. Therefore, there is a growing desire to go beyond mathematics and lose the need to be heavily involved in the rest of life, and conversely to focus on the progress and understanding of division by zero research:
Yumeso Kokushi:
Some people hit and some people get hit
Together
Just a dream play
Looking at this situation from a broad perspective, our world history is embarrassing, our ideas for life and the world are already dark, unclear and pathetic, and even the most promising mathematical world has continued to have a strange and embarrassing history. It is confusing the world. I have to think that world history and human beings themselves are too strange.
In order to open up a bright world history, it is necessary to reform mathematics, approach the essence of religion, and shed light on the existence of human beings and life.
If the world history is still dark, no one will think that something is wrong because of the enormous military spending that is unfolding in the world, the human turmoil in the world, and the existence of human beings in their later years. Is it?
I think it is natural to think that I want to develop world history through the world of mathematics, if I can tell the difference between myself who is already in his later years and my life that I have followed.
Division by zero is not just mathematics, it is directly linked to the idea of liberating humans and developing world history, so I think that its significance is great, like God’s guidance.
There is a need for changes in the mathematical world and the world. Both the mathematics world and the world have to think that it is embarrassing and useless in such a situation.
I want to express one step, one step, according to my divinity that everyone has. I want to estimate the will of God and live according to the will of God.
I want to confirm and set the specific goals of Reiwa Innovation:
1. 1. Change the history of 2300 years, the common sense that division by zero is impossible, and change the basis of the division by zero method and its significance to the common sense of the world.
2. 2. Implement the above on a computer and make it a well-known fact in the world.
3. 3. According to them, request changes to textbooks and academic books. These are enormous and change the aspect of mathematics, so it takes time, and proceed until you start walking in that direction so that you can see the way.
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
who talks about limits here? I talk about division by zero; in ordinary arithmetic a/0 has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a is not 0), and so division by zero is UNDEFINED; yea, whoever “taught” you maths, that is
Reproducing Kernel Research Institute Statement 656 (2022.1.26) Celebrating the 8th anniversary of the discovery of division by zero-how should I go?
Celebrating the 8th anniversary of the discovery of division by zero (2014.2.2). An international journal specializing in division by zero (https://romanpub.com/dbzc.php), which has published two books over the past year, also includes a basic paper that describes the essence of division by zero in a self-contained manner. I was able to publish it. In particular, one book expresses the progress of division by zero and the desire to understand division by zero on page 316 with the date and time, so I felt like I would never forget: We repeat, He professes to be embarrassed and flawed in modern mathematics, and is seeking widespread understanding of the world. The truth must be revealed. I profess that math is strange. He states that mathematics is embarrassing. Published a book to seek historical judgment. The feelings are expressed considerably, and the heart is radiant:
Introduction to the Division by Zero Calculus –Scientific …
(Statement 659), he would like to contribute to the development of the magazine and to build a good society in the greeting card. I want to express life and the world as well. With that mentioned, I thought about the challenges of life, what life is, the feelings of enlightenment, and the problems of world peace. However, soon I realized that the challenges of life and the problems of world peace have already been clarified:
Reproducing Kernel Research Institute Statement 643 (2021.12.24): What is a human being, what is the meaning of life and what is life?
Reproducing Kernel Research Institute Statement 647 (2022.1.4): Wishing for World Peace-Challenge to Difficulties
I have solved the math problem, but as I haven’t summarized in the paper yet, I have a strange feeling that the essence has already been clarified. Therefore, there is a growing desire to go beyond mathematics and lose the need to be heavily involved in the rest of life, and conversely to focus on the progress and understanding of division by zero research:
Yumeso Kokushi:
Some people hit and some people get hit
Together
Just a dream play
Looking at this situation from a broad perspective, our world history is embarrassing, our ideas for life and the world are already dark, unclear and pathetic, and even the most promising mathematical world has continued to have a strange and embarrassing history. It is confusing the world. I have to think that world history and human beings themselves are too strange.
In order to open up a bright world history, it is necessary to reform mathematics, approach the essence of religion, and shed light on the existence of human beings and life.
If the world history is still dark, no one will think that something is wrong because of the enormous military spending that is unfolding in the world, the human turmoil in the world, and the existence of human beings in their later years. Is it?
I think it is natural to think that I want to develop world history through the world of mathematics, if I can tell the difference between myself who is already in his later years and my life that I have followed.
Division by zero is not just mathematics, it is directly linked to the idea of liberating humans and developing world history, so I think that its significance is great, like God’s guidance.
There is a need for changes in the mathematical world and the world. Both the mathematics world and the world have to think that it is embarrassing and useless in such a situation.
I want to express one step, one step, according to my divinity that everyone has. I want to estimate the will of God and live according to the will of God.
I want to confirm and set the specific goals of Reiwa Innovation:
1. 1. Change the history of 2300 years, the common sense that division by zero is impossible, and change the basis of the division by zero method and its significance to the common sense of the world.
2. 2. Implement the above on a computer and make it a well-known fact in the world.
3. 3. According to them, request changes to textbooks and academic books. These are enormous and change the aspect of mathematics, so it takes time, and proceed until you start walking in that direction so that you can see the way.
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..
With this, the world’s military spending will increase, and world history will recede. I think that the good sense of the world dominates the world.
This offends her feelings for Russia and Russia will be punished for a long time. To solve problems, I want to aim for a world that does not use violence in conflicts and does not use the military.
再生核研究所声明649(2022.1.6) 現代数学の欠陥 ー 恥ずかしい数学 (日本数学会の指導的な人から 有難い助言 矛盾が見つかっていないのに欠陥があるというのは,多くの数学者を敵に回すことになりかねませんので,ご発言は慎重になさったほうがいいのではないかと常々心配しております.を頂き、その理解の様子を知って愕然、それで直接的な解説をしたいと考えた。) 我々は繰り返し、現代数学には欠陥があり、恥ずかしい状態だと公言、広く世界の理解を求めてきている。真相は 明かにされなければならない。数学はおかしい と公言している。数学は恥ずかしい状態だと 言明している。 歴史的な判断を求めるために 著書の出版をした。 存念は相当表現して、心は晴れやかである: Introduction to the Division by Zero Calculus – Scientific … https://www.scirp.org › book › detail… Division by Zero Calculus—History and Development https://books.google.com › … › Books 何故数学に欠陥があるのか。 そもそも数学は四則演算が基礎である。ところが割り算には例外があり、ゼロで割ってはいけないが、歴史家によれば物理的な意味から、アリストテレス以来ゼロで割ってはならないという、有名な事実があって、現在でも世情大きな関心になっている。
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
Fig 5.2. Isaac Newton (1643-1727) and Gottfried Leibniz (1646-1716) were the culprits, ignoring the first commandment of mathematics not to divide by zero. But they hit gold, because what they mined in the process was the ideal circle.
You can see from the other answers, that from the concept of limits, 0/0 can approach any value, even infinity. … So, let me take a system where division by zero is actually defined, that is, you can multiply or divide both sides of an equation by …
Discussions: Early History of Division by Zero H. G. Romig The American Mathematical Monthly Vol. 31, No. 8 (Oct., 1924), pp. 387-389 Published by: Mathematical Association of America DOI: 10.2307/2298825 Stable URL: http://www.jstor.org/stable/2298825 Page Count: 3
Niels Henrik Abel und seine Zeit Arild Stubhaug. Abb. 19 a–c. a. … Eine Kurve, die Abel studierte und dabei herausfand, wie sich der Umfang inn gleich große Teile aufteilen lässt. … Beim Integralzeichen statt der liegenden ∞ den Bruch 1/0.
Indeterminate: the hidden power of 0 divided by 0 2016/12/02 に公開 You’ve all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious “forbidden” expressions like 0/0 and 1^∞ as well as Apple’s Siri and Sir Isaac Newton.
[PDF]Indeterminate Form in the Equations of Archimedes, Newton and Einstein http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3222 このページを訳す 0. 0 . The reason is that in the case of Archimedes principle, equations became feasible in. 1935 after enunciation of the principle in 1685, when … Although division by zero is not permitted, yet it smoothly follows from equations based upon.
Thinking ahead of Archimedes, Newton and Einstein – The General … gsjournal.net/Science-Journals/Communications…/5503 このページを訳す old Archimedes Principle, Newton’ s law, Einstein ‘s mass energy equation. E=mc2 . …. filled in balloon becomes INDETERMINATE (0/0). It is not justified. If the generalized form Archimedes principle is used then we get exact volume V …..