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2d
revised Representing trigonometric functions in a form of rational functions
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2d
revised Representing trigonometric functions in a form of rational functions
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2d
revised Representing trigonometric functions in a form of rational functions
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2d
asked Representing trigonometric functions in a form of rational functions
Sep
1
revised Non-standard numbers and exponential form of Zeta function
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Aug
31
answered What does the generating function $x/(1 - e^{-x})$ count?
Aug
31
revised Why do Bernoulli numbers arise everywhere?
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Aug
31
answered Why do Bernoulli numbers arise everywhere?
Aug
31
revised Non-standard numbers and exponential form of Zeta function
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Aug
30
comment Non-standard numbers and exponential form of Zeta function
@მამუკა ჯიბლაძე I think the quantities of non-countable sets also can be expressed with these non-standard numbers.
Aug
30
comment Non-standard numbers and exponential form of Zeta function
@მამუკა ჯიბლაძე it would be great if I could express zeta purely in elementary functions. Or express exponentiation through zetas. For me it was also a surprize that the two kinds of Bernoulli numbers correspond to the powers of two infinities. And the usually used infinity, the quantity of natural numbers is not purely non-standard contrary to what is usually assumed in surreals and ordinal arithmetic.
Aug
30
comment Non-standard numbers and exponential form of Zeta function
@Noah Schweber $\tau$ lies in between $\omega_-$ and $\omega_+$ which are both not purely non-standard. I think symbol $\tau$ thus can be useful: $\tau+1/2=\omega_+$ (the quantity of non-negative integers), $\tau-1/2=\omega_-$ (the quantity of natural numbers). $\tau$ is the quantity of all even numbers, it is the quantity of all odd numbers and taken twice it is the quantity of all integers.
Aug
29
revised Non-standard numbers and exponential form of Zeta function
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Aug
29
revised Non-standard numbers and exponential form of Zeta function
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29
revised Non-standard numbers and exponential form of Zeta function
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Aug
29
revised Non-standard numbers and exponential form of Zeta function
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revised Non-standard numbers and exponential form of Zeta function
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Aug
29
revised Non-standard numbers and exponential form of Zeta function
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27
revised Non-standard numbers and exponential form of Zeta function
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Aug
27
revised Non-standard numbers and exponential form of Zeta function
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