#mathematics

@math_stackexchange Considering the integral $I=\int_0^1 \frac{\ln(1+x^2)\ln(1+x^3)} {x^2+x+1}\,dx$. #Mathematics #Calculus #Integration

@math_stackexchange Are the spaces $\mathbb{Q}^n$ and $\mathbb{Q}^m$ ever homeomorphic? #Mathematics #Topology #Algebra

@math_stackexchange Collatz conjecture and probability #Mathematics #NumberTheory #Probability

@math_stackexchange is the " inefficient prime number theorem (IPNT) " $ \lim_{n \to \infty} \frac{A(n)}{n (\ln(n) -1) \ln(\ln(n)) } = 1 $ true? #Mathematics #NumberTheory #PrimeNumbers

@math_stackexchange How to prove that the Lie Algebra of the semidirect product of two Lie Groups is the semi-direct product of their Lie Algebras? #Mathematics #Algebra #GroupTheory

@math_stackexchange Axiomatizability of the class of relations whose relation classes form a partition. #Mathematics #Logic #Axioms

@math_stackexchange Does every interval ((n+1)^2, n^2+6n+4) contain a prime? #Mathematics #NumberTheory #PrimeNumbers

@math_stackexchange In classical propositional logic how is Mendelson's 3rd axiom derived from Lukasiewicz's axioms? #Logic #Mathematics #Axioms

@math_stackexchange Observations on 6n \pm 1 prime lanes, units-digit cyclical cycles, and 7-digit gap multipliers #Mathematics #NumberTheory #PrimeNumbers

@math_stackexchange Proving a contour integral formula using dominated convergence (without the residue theorem) #Mathematics #Analysis #Calculus

@math_stackexchange Baranovsky conjecture #Mathematics #Research #Conjecture

@math_stackexchange Is Banach-Tarski Independent of ZF with choice being false [duplicate] #Mathematics #Logic #Axioms

@math_stackexchange Solving the integral $\int_{-\infty}^{\infty} \frac{\ln(1 + (x + x^2)^2) + \ln(1 + x^2)}{x^2} \, dx$ via complex analysis. #Mathematics #Calculus #ComplexAnalysis

@math_stackexchange Seven-number shuffle: show that there is exactly one unreachable permutation #Mathematics #Permutations #Combinatorics

@math_stackexchange existence of a non-trivial perfect square sum of modular remainders over divisors #Mathematics #NumberTheory #Algebra

@math_stackexchange The index-shifted prime number functions $f_n(x) = p_{n + x}\in \Bbb{P}, n \geq 0$ are $\Bbb{Z}$-linearly independent. Is this a known result? #Mathematics #NumberTheory #PrimeNumbers

@math_stackexchange What is a space parameterizing all similar triangles? #Mathematics #Geometry #Topology

@math_stackexchange Nets characterize topologies. Are there net-like objects that characterize $\sigma$-algebras? #Mathematics #Topology #Algebra

@math_stackexchange listing all the real numbers between 0 and 1 #Mathematics #RealNumbers #SetTheory

@math_stackexchange Understanding the picture of an affine plane in Hartshorne #Mathematics #Algebra #Geometry

@math_stackexchange How to calculate a type of alternating sums #Mathematics #Math #Sums

@math_stackexchange Why not think of lattices as Z^n? #Mathematics #Algebra #NumberTheory

@math_stackexchange Proof by contradiction and logical value #Mathematics #Logic #Proof

@math_stackexchange Evaluating the definite integral $\int_0^1 \frac{x^{13} - 1}{\ln x (x^2 + x + 1)(x^2 - x + 1)} \, dx$ #Mathematics #Calculus #Integration

@math_stackexchange Positivity of polyharmonic operators in weighted $L^2$ spaces #Mathematics #Analysis #Research

@math_stackexchange Is this construction the Equilateral case of the Cramer-Castillion #Mathematics #Geometry #Algebra

@math_stackexchange Conceptualizing subgaussian norms #Mathematics #Statistics #Theory

@math_stackexchange Estimation of Riemann integral over subinterval #Mathematics #Calculus #Analysis

@math_stackexchange any row-column operations that would fit in this determinant? #Mathematics #Algebra #LinearAlgebra

@math_stackexchange Combinatorics of "inwards" sequence #Mathematics #Combinatorics #Math

@math_stackexchange Literature on continuous-time Markov chains #Mathematics #MarkovChains #StochasticProcesses

@math_stackexchange Evaluating the summation $\sum_{k=1}^{100} \gcd(k, 100)$ #Mathematics #NumberTheory #Summation

@math_stackexchange Understanding The Travel-Time Integral In The Brachistochrone Problem Using Riemann Sums. #Mathematics #Calculus #Physics

@math_stackexchange Are commutativity and associativity of addition on numbers axioms #Mathematics #Axioms #Algebra

@math_stackexchange Unknotting number of the Whitehead link #Mathematics #Topology #Math

@math_stackexchange equivalent ideals and $L$ functions by Hecke #Mathematics #Algebra #NumberTheory

@math_stackexchange Is it always true that linear combinations of variables from stable distributions are in the same distribution family? Why? #Mathematics #Statistics #Probability

@math_stackexchange Probabilistic Analysis of Division Cascades in the Collatz Conjecture Based on Uniform Distribution of Residues Modulo $12$ and $18$ #Mathematics #CollatzConjecture #NumberTheory

@math_stackexchange If $K=\{ x\in G | f(x)=x^{-1} \}$ has order more than 3/4 the order of $G$, then $K=G$ and $G$ is abelian #Mathematics #GroupTheory #AbstractAlgebra

@math_stackexchange Infinite half-transitive graphs of odd degree #Mathematics #GraphTheory #AbstractAlgebra