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  • 0 posts edited
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  • 55 votes cast
Aug
27
comment Check algebraic transformation with trial numbers?
The question is still whether a single test is enough. Can you give an example equation which includes $\exp\sqrt{2}$ and $\exp\sqrt{3}$, has only basic arithmetics and has conflicting truth values after transformations?
Aug
23
revised Check algebraic transformation with trial numbers?
added 84 characters in body
Aug
22
revised Check algebraic transformation with trial numbers?
added 54 characters in body
Aug
22
comment Check algebraic transformation with trial numbers?
But my function class seems pretty trivial. It's mostly rational functions. And I only do basic high school rearrangements. Do this help to prove anything?
Aug
22
asked Check algebraic transformation with trial numbers?
Jul
11
comment Functional equation on integers
It works. Thank you. I've made a screenshot above.
Jul
11
revised Functional equation on integers
added 158 characters in body
Jul
11
accepted Functional equation on integers
Jul
10
revised Functional equation on integers
deleted 120 characters in body
Jul
10
comment Functional equation on integers
How did you find that matrix? I could imagine an approach like yours can work for my (new) additional condition, too? I'll check tomorrow :)
Jul
10
revised Functional equation on integers
added 903 characters in body
Jul
10
comment Functional equation on integers
Oh damn. You are right. I cannot get my nice pattern easily.
Jul
10
revised Functional equation on integers
added 259 characters in body
Jul
10
comment Functional equation on integers
True, that's good understanding. If you don't mind I'd like to add a condition, which I was unconsciously assuming but I forgot to state.
Jul
10
comment Functional equation on integers
Not sure if I get it right. To undo you need $(x+y)/2$?
Jul
10
revised Functional equation on integers
added 172 characters in body
Jul
10
asked Functional equation on integers
May
26
accepted Does any numerical diff.eq. solver give correct results given small step-size?
May
26
comment Does any numerical diff.eq. solver give correct results given small step-size?
What is definition of "convergence" here? (I'm new to this) I imagine naively running an Euler step from a starting point $x_0$ and seeing the the correct function will be reproduced on an fixed interval $[x_0, x_1]$ . Is this the same? Shouldn't any finite step solution be correct at least a few steps, given small $h$?
May
25
asked Does any numerical diff.eq. solver give correct results given small step-size?