User Alexandra - Mathematics Stack Exchange

4 votes

1 answer

109 views

Proving that $\int_a^b\frac1{\lfloor x\rfloor}\;\mathrm{d}x$ is irrational, given $b - a$ is irrational

asked Jan 1, 2024 at 17:01

4 votes

2 answers

82 views

Why does Im($(-1/10^n)^{-1/10^n}$) turn into the digits of pi as integer n gets larger?

asked Feb 27, 2024 at 22:07

3 votes

0 answers

114 views

How to tell if an infinite series sum will be rational or irrational?

asked Jan 2, 2024 at 22:20

3 votes

1 answer

112 views

When is $a^x + b^x \equiv a + b \pmod{n}$? [duplicate]

asked Apr 10, 2024 at 17:55

3 votes

1 answer

132 views

Fast trick for calculating VERY large remainders with a prime modulus? [duplicate]

asked Apr 4, 2024 at 23:33

2 votes

0 answers

36 views

Connection between the sawtooth Fourier series and the Euler-Mascheroni constant?

asked Mar 25, 2024 at 15:02

2 votes

0 answers

55 views

Would a straight line between two points on a sinusoidal map be the same as the geodesic between those points on a sphere's surface?

asked Oct 21, 2023 at 15:09

2 votes

0 answers

57 views

Analytic continuation of the cardinality of a set: -1/2 element sets? Sets with an imaginary number of elements?

asked Feb 14, 2024 at 16:09

2 votes

0 answers

84 views

Cases where transcendental numbers can add up to a rational number? [closed]

asked Jan 1, 2024 at 22:22

2 votes

1 answer

74 views

Most accurate values found for Riemann nontrivial zeroes? [closed]

asked Dec 9, 2023 at 17:33

1 vote

0 answers

91 views

Analytic continuation of Bernoulli numbers: $B_{1/2}$?

asked Feb 11, 2024 at 23:41

1 vote

1 answer

71 views

Proof that $\frac{d^a}{dx^a}\sin(x) = \sin(x+\pi a/4)$ iff these two infinite series are equivalent?

asked Feb 16, 2024 at 21:23

1 vote

1 answer

108 views

Proof using p-adic numbers that $\lim_{x \in \mathbb{N} \to \infty} 2^x = 0$? What am I doing wrong?

asked Feb 17, 2024 at 23:13

1 vote

0 answers

53 views

What is the manifold formula for coordinates on a globe, in relation to Cartesian/Mercator coordinates?

asked Oct 21, 2023 at 16:02

0 votes

0 answers

164 views

Why are my solutions to the Christoffel symbols of polar coordinates recipricoled?

asked Oct 22, 2023 at 20:14

0 votes

1 answer

200 views

Why doesn't the Riemann Zeta Function have zeroes at positive even integers? [closed]

asked Nov 27, 2023 at 16:07

0 votes

1 answer

107 views

Can the infinite product of the powers of a transcendental number ever be transcendental?

asked Jan 3, 2024 at 0:09

0 votes

0 answers

47 views

Analytic continuation of product operator? [duplicate]

asked Jan 3, 2024 at 13:35

0 votes

1 answer

130 views

How to find derivatives such as $\frac{\partial }{\partial p} \int_0^1 \frac{1-x^p}{1-x}dx$?

asked Jan 3, 2024 at 15:47

0 votes

2 answers

123 views

Proof using the Lambert W function that 1 = 0 - What went wrong?

asked Mar 18, 2024 at 13:49

0 votes

1 answer

96 views

Quick multiplication of 3-digit mirror numbers?

asked Apr 9, 2024 at 15:13

0 votes

3 answers

84 views

Quick trick for the shortest distance from a point to a line?

asked Apr 18, 2024 at 17:52

0 votes

0 answers

66 views

Can a function be represented in an infinite sum other than the Taylor Series?

asked Aug 15, 2024 at 17:36

0 votes

0 answers

33 views

The derivative of a function's Fourier Series is not the derivative of the function?

asked Aug 17, 2024 at 22:03

0 votes

0 answers

38 views

Poisson distribution occurring in the analytic continuation of the Bernoulli Numbers?

asked Aug 19, 2024 at 23:53

0 votes

0 answers

57 views

Why does this series representation for $\frac{x}{e^x-1}$ diverge for $|x| \gt 2\pi$?

asked Sep 6, 2024 at 0:25

0 votes

0 answers

62 views

Is there a formal language where $\Sigma^*$ is uncountable? [duplicate]

asked May 2 at 22:53

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27 Questions

Proving that $\int_a^b\frac1{\lfloor x\rfloor}\;\mathrm{d}x$ is irrational, given $b - a$ is irrational

Why does Im($(-1/10^n)^{-1/10^n}$) turn into the digits of pi as integer n gets larger?

How to tell if an infinite series sum will be rational or irrational?

When is $a^x + b^x \equiv a + b \pmod{n}$? [duplicate]

Fast trick for calculating VERY large remainders with a prime modulus? [duplicate]

Connection between the sawtooth Fourier series and the Euler-Mascheroni constant?

Would a straight line between two points on a sinusoidal map be the same as the geodesic between those points on a sphere's surface?

Analytic continuation of the cardinality of a set: -1/2 element sets? Sets with an imaginary number of elements?

Cases where transcendental numbers can add up to a rational number? [closed]

Most accurate values found for Riemann nontrivial zeroes? [closed]

Analytic continuation of Bernoulli numbers: $B_{1/2}$?

Proof that $\frac{d^a}{dx^a}\sin(x) = \sin(x+\pi a/4)$ iff these two infinite series are equivalent?

Proof using p-adic numbers that $\lim_{x \in \mathbb{N} \to \infty} 2^x = 0$? What am I doing wrong?

What is the manifold formula for coordinates on a globe, in relation to Cartesian/Mercator coordinates?

Why are my solutions to the Christoffel symbols of polar coordinates recipricoled?

Why doesn't the Riemann Zeta Function have zeroes at positive even integers? [closed]

Can the infinite product of the powers of a transcendental number ever be transcendental?

Analytic continuation of product operator? [duplicate]

How to find derivatives such as $\frac{\partial }{\partial p} \int_0^1 \frac{1-x^p}{1-x}dx$?

Proof using the Lambert W function that 1 = 0 - What went wrong?

Quick multiplication of 3-digit mirror numbers?

Quick trick for the shortest distance from a point to a line?

Can a function be represented in an infinite sum other than the Taylor Series?

The derivative of a function's Fourier Series is not the derivative of the function?

Poisson distribution occurring in the analytic continuation of the Bernoulli Numbers?

Why does this series representation for $\frac{x}{e^x-1}$ diverge for $|x| \gt 2\pi$?

Is there a formal language where $\Sigma^*$ is uncountable? [duplicate]