elementary number theory : Math Help

Eigenvector centrality as a limiting case of Katz centrality

linear-algebra limits graph-theory eigenvalues-eigenvectors network
Updated June 18, 2019 02:20 AM

Why a language with equality in first order predicate logic has only infinite models?

logic first-order-logic predicate-logic model-theory
Updated June 18, 2019 02:20 AM

Given remainders from other polynomial divisions. Find the remainder in a polynomial division

number-theory polynomials
Updated June 18, 2019 02:20 AM

Let $R$ be a commutative ring and $a_1, \dots, a_n$ elements of $R$. Prove that $\frac{R[x_1, \dots, x_n]}{(x_1-a_1, \dots, x_n-a_n)} \cong R.$

abstract-algebra polynomials ring-theory proof-writing ring-isomorphism
Updated June 18, 2019 02:20 AM

What structure do natural isomorphisms preserve?

category-theory model-theory functors natural-transformations
Updated June 18, 2019 02:20 AM

Representations of the normal complement of a cyclic sylow 2 subgroup

finite-groups representation-theory
Updated June 18, 2019 02:20 AM

Can a set be a random variable?

statistics measure-theory random-variables borel-sets
Updated June 18, 2019 02:20 AM

Prove there exists $a$ such that $a^\frac{n-1}{2} \neq (\frac{a}{n}) (\text{mod } n)$

elementary-number-theory modular-arithmetic jacobi-symbol
Updated June 18, 2019 01:20 AM

Can the cardinality of a set $\mathbb{S}^n$ be written in terms of $\lvert S\rvert$?

elementary-set-theory cardinals
Updated June 18, 2019 01:20 AM

prove the formula where $n=\prod_{i=1}^k p_{i}^{\alpha_i}$

number-theory algebraic-number-theory divisibility divisor-sum arithmetic-functions
Updated June 17, 2019 23:20 PM

Existence of graph with high minimum degree and domination number $\Omega(\ln n)$.

graph-theory probabilistic-method
Updated June 17, 2019 23:20 PM

$-1$, sum of squares and embedding in $\mathbb{R}$

abstract-algebra field-theory
Updated June 17, 2019 22:20 PM

Inverse Limit of Finite Direct Product of Groups/TopSpaces

general-topology group-theory category-theory limits-colimits
Updated June 17, 2019 22:20 PM

For an algebraically closed field $k$, an ideal $I$ of $k[x]$ is maximal if and only if $I = (x-c)$

abstract-algebra polynomials field-theory ideals maximal-and-prime-ideals
Updated June 17, 2019 22:20 PM

composite of measurable functions

real-analysis measure-theory lebesgue-integral
Updated June 17, 2019 22:20 PM

Dimension of $V(XY-Z^3,XZ-Y^3)$

abstract-algebra algebraic-geometry ring-theory commutative-algebra
Updated June 17, 2019 22:20 PM

Topologies on Categories: The big picture

algebraic-geometry category-theory
Updated June 17, 2019 21:20 PM

How to prove formula for power sum

combinatorics number-theory combinatorial-proofs
Updated June 17, 2019 20:20 PM

Rank of an $R$-module $M$ over $R'$, where $R$ is a projective $R'$-algebra.

abstract-algebra ring-theory commutative-algebra modules projective-module
Updated June 17, 2019 20:20 PM

Condition on $p, q, r$ that is equivalent to 'the complete tripartite graph $K_{p, q, r}$ has a perfect matching'

graph-theory
Updated June 17, 2019 20:20 PM

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