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| bio | website | sixwingedseraph.wordpress.com |
|---|---|---|
| location | Minnesota | |
| age | ||
| visits | member for | 2 years, 9 months |
| seen | Apr 29 at 13:21 | |
| stats | profile views | 23 |
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Apr 29 |
comment |
What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) I discovered a special case of this in third (?) grade: 3 times 37 is 111. It caught my attention -- how could THAT happen? |
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Apr 10 |
comment |
Closing up the elementary functions under integration I don't know what you mean by "elementary integral". If you mean "if the integral f of a given elementary function g is also elementary, is f elementary? The answer is no: e^(x^2) is the integral of the function 2x e^(x^2), but e^(x^2) is not elementary. |
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Jul 24 |
comment |
How to check whether it is a direct product? If you are given the operation (A,B)↦A×B, then a product preserving functor between categories with finite products must preserve the specified product. If you require only that there be an object A times B with the required properties, then a product preserving functor must take a product to SOME product of the images of A and B (of course, they are all naturally isomorphic). Note: This is a fine point that hardly ever makes any difference in practice! See Toposes, Triples and Theories at www.tac.mta.ca/tac/reprints/articles/12/tr12.pdf, page 141. |
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Jun 29 |
awarded | Yearling |
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May 20 |
awarded | Good Answer |
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Nov 15 |
comment |
Closing up the elementary functions under integration The countable closure of an iterative process is the union of the sets created by finite repetitions of the process. It can also be defined as the smallest set containing all the results of finite repetitions of the process. This is standard terminology, but perhaps more in algebra and computer science than in analysis. |
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Nov 14 |
awarded | Nice Question |
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Oct 20 |
awarded | Nice Answer |
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Aug 22 |
awarded | Teacher |
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Aug 22 |
asked | Closing up the elementary functions under integration |
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Aug 22 |
answered | Which one result in maths has surprised you the most? |
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Aug 22 |
answered | Which one result in maths has surprised you the most? |
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Aug 14 |
awarded | Supporter |
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Aug 14 |
comment |
Has L'Hopital's Rule been studied as an operator? @George S. I meant that it has an orbit of length 2 in its action on whatever it is acting on, which at this point I am not sure of! |
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Aug 14 |
awarded | Editor |
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Aug 14 |
comment |
Has L'Hopital's Rule been studied as an operator? @KennyTM You are right. I edited the question to reflect this. |
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Aug 14 |
revised |
Has L'Hopital's Rule been studied as an operator? added thanks |
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Aug 14 |
awarded | Student |
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Aug 14 |
asked | Has L'Hopital's Rule been studied as an operator? |
