MATH
Login Or Sign up

List Question

15
53
Views

Is the natural logarithm of $a$ irrational if $a \neq 0,1$ is algebraic?

Published on
#logarithms #exponential-function #irrational-numbers #transcendental-numbers
229
Views

Proof that $\ln(3) / \ln(2)$ is transcendental?

Published on
#solution-verification #logarithms #transcendental-numbers
149
Views

Transcendence of $\ln(a)/\ln(b)$ where $a$ and $b$ are rational numbers.

Published on
#solution-verification #logarithms #rational-numbers #transcendental-numbers
36
Views

A lemma used in Lindemann-Weierstrauss Theorem

Published on
#elementary-number-theory #galois-theory #transcendental-numbers
106
Views

Is the imaginary number i really both algebraic and and irrational?

Published on
#complex-numbers #irrational-numbers #transcendental-numbers
71
Views

Sum of reciprocals of $10$ to the power of factorials

Published on
#summation #infinity #transcendental-numbers
55
Views

Can the occurrence of certain digits be proven/disproven, for any arbitrary irrational number?

Published on
#number-theory #irrational-numbers #decimal-expansion #transcendental-numbers
51
Views

Show that $\pi$ is not algebraic over the field $\mathbb A$ of algebraic numbers.

Published on
#abstract-algebra #pi #transcendental-numbers #algebraic-numbers
293
Views

Is $\sin n/\sin m$ irrational for nonzero integers $n\neq m$?

Published on
#trigonometry #integers #irrational-numbers #ratio #transcendental-numbers
68
Views

Unsure about a step in proving $e$ is transcendental

Published on
#elementary-number-theory #polynomials #transcendental-numbers
60
Views

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

Published on
#real-analysis #number-theory #summation #rational-numbers #transcendental-numbers
71
Views

Understanding the proof of a transcendental criterion regarding palindromic continued fraction.

Published on
#number-theory #continued-fractions #transcendental-numbers
97
Views

Deduction from Schanuel's conjecture

Published on
#number-theory #transcendental-numbers #transcendence-theory
271
Views

How to prove that for all digits there exists a transcendental number which contains it infinite number of times in its representation?

Published on
#decimal-expansion #transcendental-numbers
196
Views

Can $x\sin(x)$ be algebraic when it is not $0$?

Published on
#trigonometry #examples-counterexamples #irrational-numbers #transcendental-numbers #algebraic-numbers

Trending Questions

Popular # Hahtags

second-order-logic numerical-methods puzzle logic probability number-theory winding-number real-analysis integration calculus complex-analysis sequences-and-series proof-writing set-theory functions homotopy-theory elementary-number-theory ordinary-differential-equations circles derivatives game-theory definite-integrals elementary-set-theory limits multivariable-calculus geometry algebraic-number-theory proof-verification partial-derivative algebra-precalculus

Popular Questions

Copyright © 2021 JogjaFile Inc.