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network profile
| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 2 years, 7 months |
| seen | 13 mins ago | |
| stats | profile views | 487 |
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Aug 10 |
comment |
Why some differential equation can be solved while similar difference equations cannot? The equation with interesting effects you have pointed is a second-order equation btw, it differs not only by $i$ but also by the order of derivative. |
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Aug 10 |
comment |
Why some differential equation can be solved while similar difference equations cannot? I wonder why the same method cannot be used to solve the difference equation. Does it mean that the class of solvable difference equations is narrower than the class of solvable differential equations or just that the appropriate analogous method had not been developed yet because the field of difference calculus in general is less developed due to lesser interest or historical reasons? |
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Aug 10 |
comment |
Why some differential equation can be solved while similar difference equations cannot? @Gerry Myerson there is such formula. en.wikipedia.org/wiki/… en.wikipedia.org/wiki/Indefinite_sum |
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Aug 9 |
asked | Why some differential equation can be solved while similar difference equations cannot? |
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Jun 29 |
answered | How to approximate $\sum_{k=1}^n k!$ using Stirling's formula? |
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Jun 25 |
comment |
Proof that $\mathbb N $ is finite There is a paradox but how it is related to in finiteness? It will work for a finite set also. |
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Jun 23 |
comment |
In which cases iterative equations can be reduced to finite-difference equations? I do not think this applies it the equation has both iterations and derivatives, does it? |
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Jun 19 |
revised |
How to find a function with the following properties? edited title |
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Jun 19 |
asked | How to find a function with the following properties? |
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Jun 9 |
revised |
Convergence of Newton series for sin ax added 8 characters in body |
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Jun 9 |
asked | Convergence of Newton series for sin ax |
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Jun 8 |
awarded | Caucus |
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May 15 |
comment |
Is it wrong to tell children that 1/0 = NaN is incorrect, and should be ∞? And by default in calculus usually used affine real line rather than projective. |
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May 15 |
comment |
Is it wrong to tell children that 1/0 = NaN is incorrect, and should be ∞? You say that "$\infty$" as a number impossible because it uses actual infinity. This is bullshit. On the same ground you should object any real number such as $\pi$ because it is defined similar way. Possibility to define $\pi$ and $\infty$ does not depend on whether the background set theory used permits actual infinity. $\infty$ can be defined in a completely similar way to any real number. The only difference is that there are two way s to extend real numbers: the affine one and the projective one. Thus using $\infty$ without sign and without clarification creates ambiguity. |
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May 15 |
comment |
Is it wrong to tell children that 1/0 = NaN is incorrect, and should be ∞? @Gadi A, any real number in calculus is defined as a limit of a sequence. This does not mean that, say "$\pi$" is a merely shorthand for limit. |
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May 15 |
accepted | Evaluate definite integral $\int_{-1}^1 \exp(1/(x^2-1)) \, dx$ |
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May 14 |
revised |
Evaluate definite integral $\int_{-1}^1 \exp(1/(x^2-1)) \, dx$ deleted 26 characters in body |
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May 14 |
reviewed | Approve suggested edit on Evaluate definite integral $\int_{-1}^1 \exp(1/(x^2-1)) \, dx$ |
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May 14 |
asked | Evaluate definite integral $\int_{-1}^1 \exp(1/(x^2-1)) \, dx$ |
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May 13 |
awarded | Nice Answer |
