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0

votes

0

answers

3

views

Get formula of polynomial directly and using induction

polynomials binomial-coefficients

asked 2 mins ago Rustem Sadykov 85

0

votes

0

answers

6

views

Finding original function from composition of function

functions function-and-relation-composition

modified 2 mins ago David G. Stork 21.2k

0

votes

0

answers

14

views

Root of Unity problem [HELP]

complex-analysis solution-verification

modified 3 mins ago EM4 881

0

votes

2

answers

16

views

Showing the multiplication in $\mathbb{R}$ is open

general-topology proof-writing solution-verification open-map

answered 5 mins ago William Elliot 15.4k

0

votes

0

answers

14

views

Raising a complex polynomial to the Kth power

complex-analysis binomial-theorem

modified 47 secs ago Kavi Rama Murthy 218k

0

votes

0

answers

37

views

Proof of prime numbers

discrete-mathematics solution-verification

modified 11 mins ago Lorenza Fuller 51

5

votes

2

answers

133

views

Found this identity by accident

sequences-and-series ramanujan-summation

answered 12 mins ago Felix Marin 77.3k

2

votes

1

answer

24

views

Can the identity $\lim_{h\to 0}\frac{a^h-1}{h}=\ln{a}$ be proven rigorously from the Power Rule for Integration?

calculus integration logarithms

answered 12 mins ago Rivers McForge 2,073

0

votes

1

answer

26

views

If $f: [0,1] \to [0,1]$ is bijective and continuous, then $f$ only has periodic points of period 1 or 2

real-analysis dynamical-systems

modified 13 mins ago Mark Bennet 91.4k

0

votes

1

answer

21

views

Evaluating $\lim_{T\to \infty} \frac{T^N}{\exp(T) N!}$, where $N\stackrel{P} \rightarrow T$ as $T \to \infty$

limits convergence-divergence approximation

modified 13 mins ago Soom 11

2

votes

2

answers

33

views

Decomposition of a finite transformation

abstract-algebra transformation semigroups permutation-cycles

answered 16 mins ago J.-E. Pin 27.7k

0

votes

0

answers

8

views

Solutions to an equation with floor function and integrals

integration solution-verification definition

modified 16 mins ago Z Ahmed 25.3k

0

votes

0

answers

4

views

Gram determinant of a boundary chart of a submanifold

differential-geometry determinant smooth-manifolds manifolds-with-boundary submanifold

asked 20 mins ago 0xbadf00d 10.5k

0

votes

0

answers

5

views

Whether there exists infimum of a union of all bounded subsets of $R$ which is closed under multiplication.

real-analysis set-theory supremum-and-infimum

asked 24 mins ago TFC 15

0

votes

0

answers

18

views

Prove that this isomorphosm is identity on K( Hungerdord Theorem 1.5)

abstract-algebra field-theory extension-field

modified 25 mins ago Tim 938

-2

votes

0

answers

12

views

Homogeneous solutions of an ODE

linear-algebra ordinary-differential-equations

modified 25 mins ago Calvin Khor 23.2k

0

votes

1

answer

7

views

Struggling on finding the missing value in the cumulative distribution function:

probability probability-distributions random-variables

answered 27 mins ago Dhanvi Sreenivasan 3,508

0

votes

0

answers

10

views

a minimization problem about complex number, sum with odd number, when $|z_i=1|$, $s_i$∈ {+1,-1} and $w_i$=1

complex-numbers contest-math

modified 28 mins ago Lee Alex 19

0

votes

1

answer

18

views

Determine if the following equivalence is true and give a proof as to why

logic

modified 34 mins ago Chris Custer 33.6k

0

votes

1

answer

10

views

Proof of the existence of a well-defined function $\bar{f}$(2)

abstract-algebra elementary-set-theory equivalence-relations

answered 36 mins ago tkf 4,223

0

votes

1

answer

28

views

A Set Theory of proving subset

discrete-mathematics elementary-set-theory

answered 40 mins ago Brian M. Scott 522k

-1

votes

1

answer

8

views

Probability where you can win or lose at any point in the game

probability sequences-and-series statistics

answered 40 mins ago Ross Millikan 344k

0

votes

0

answers

16

views

Rudin Theorem 1.35 explaination.

complex-analysis inequality

modified 40 mins ago Bungo 15.8k

13

votes

0

answers

111

views

Closed form of $\frac{e^{-\frac{\pi}{5}}}{1+\frac{e^{-\pi}}{1+\frac{e^{-2\pi}}{1+\frac{e^{-3\pi}}{1+\ddots}}}}$

complex-analysis closed-form continued-fractions modular-function

modified 44 mins ago Poder Rac 714

0

votes

1

answer

9

views

uniqueness of the invariant subspaces of a reducible representation

group-theory representation-theory

answered 46 mins ago runway44 5,880

0

votes

0

answers

8

views

Confidence Interval for the Median of Any Continuous Distribution

probability statistics confidence-interval median

modified 54 mins ago RobPratt 15.5k

-2

votes

0

answers

7

views

define a random variable y=2^x*3^(1-x). PMF of Y

probability random

modified 54 mins ago obeast25 1

-2

votes

0

answers

11

views

when n is an even number, is { (cosx)^n,cosx,cos2x,cos3x,…,cosnx} linear independent in Space V?

linear-algebra

modified 56 mins ago Larry G 1

0

votes

0

answers

10

views

Explaining a result from elementary theory of functions

functional-analysis analysis

asked 1 hour ago Alex Hiller 25

0

votes

1

answer

12

views

Solve: $j_n(ka)=\frac{ka}{n}j_{n-1}(ka)$. Zeros of equation with spherical Bessel functions.

roots special-functions boundary-value-problem bessel-functions

answered 1 hour ago Claude Leibovici 167k

0

votes

1

answer

19

views

Universal cover of a $3$-manifold is isometric to a cylinder

algebraic-topology riemannian-geometry smooth-manifolds covering-spaces

modified 1 min ago Eduardo Longa 3,956

0

votes

0

answers

15

views

A question about epsilon-delta definition of continuity and implications of two points being in the same neighborhood as a continuous point.

calculus analysis measure-theory epsilon-delta

modified 1 hour ago RobPratt 15.5k

1

vote

1

answer

27

views

Find all integer values $(x, y, n)$ such that $x^n+1=y^{n+1}$ and $gcd(x, n+1)=1$

elementary-number-theory divisibility gcd-and-lcm

modified 1 hour ago NotAMathematician 1,118

4

votes

0

answers

53

views

Is there a smooth surjective map from a connected manifold onto a manifold with higher dimension?

general-topology differential-geometry manifolds differential-topology

modified 1 hour ago Moishe Kohan 65.4k

0

votes

1

answer

9

views

Conditional probability computation issue

probability probability-theory probability-distributions conditional-probability

answered 1 hour ago MONODA43 533

0

votes

1

answer

24

views

Number of terms that does not contain single powers in a multivariable binomial expansion

combinatorics generating-functions combinatorics-on-words

answered 1 hour ago RobPratt 15.5k

0

votes

0

answers

12

views

Prove convergence of series under trace-norm topology

linear-algebra functional-analysis operator-theory hilbert-spaces quantum-mechanics

asked 1 hour ago Artemy 817

0

votes

1

answer

15

views

Are my quantified statements translated from English correct?

discrete-mathematics logic quantifiers

answered 1 hour ago zkutch 5,435

0

votes

2

answers

29

views

How to factorise this expression

elementary-number-theory

modified 1 hour ago VIVID 4,209

0

votes

0

answers

11

views

Number of words that can be formed

permutations analytic-combinatorics

asked 1 hour ago Amit Amarwanshi 11

1

vote

1

answer

21

views

Solution to the difference equation $u_{n+2}=2u_{n+1} + 3u_{n} + 3^{n} (6n + \frac{3}{2})$

recurrence-relations

modified 1 hour ago KingLogic 547

1

vote

0

answers

17

views

When does $\nabla f^*(\nabla f(x)) = x$?

convex-analysis convex-optimization

asked 1 hour ago Kevin Tian 21

1

vote

2

answers

44

views

What does “with respect to x” mean when integrating?

calculus integration

answered 1 hour ago Rivers McForge 2,073

0

votes

0

answers

7

views

Forcing the KL Divergence to be a specific finite value using a distribution from the exponential family

calculus probability statistics

asked 1 hour ago cdmath 35

0

votes

1

answer

10

views

The existence of a chart that maps its domain homeomorphically onto a Euclidean space

differential-geometry manifolds smooth-manifolds

modified 1 hour ago Chris Custer 33.6k

0

votes

0

answers

6

views

Equivalent Definitions of Subharmonic Functions

complex-analysis harmonic-functions

asked 1 hour ago user381027 32

0

votes

0

answers

13

views

How do I find the number of distinct elements in a certain set?

functions

1 hour ago Amit Amarwanshi 11

0

votes

0

answers

11

views

PageRank of the highest rank page (Directed graph)

calculus linear-algebra algebra-precalculus graph-theory page-rank

modified 1 hour ago RobPratt 15.5k

0

votes

0

answers

12

views

Area of a constrained and bounded strictly non-decreasing function - geometric solution

euclidean-geometry area

modified 1 hour ago Paul Sinclair 28.7k

0

votes

0

answers

16

views

$\bar{x}^2$ is irreducible in $Q[x]/(x^2+x)$, but not prime mistake

abstract-algebra

asked 1 hour ago molecule mal 75

2

votes

1

answer

50

views

Ring of functions on the Grassmannian

algebraic-geometry commutative-algebra category-theory grassmannian

modified 1 hour ago RobPratt 15.5k

1

vote

0

answers

37

views

One (a little bit more specific) question about real-analytic functions

real-analysis power-series analytic-functions

modified 1 hour ago Arctic Char 4,927

0

votes

2

answers

27

views

How to integrate : $\int_{-1}^{\frac{3}{2}} \left[x^2\right] dx$ where [ ] represents Greatest Integer Function

calculus definite-integrals ceiling-and-floor-functions

modified 1 hour ago Arctic Char 4,927

1

vote

1

answer

18

views

Confusion about the notation for the directional derivative and differentiability

real-analysis multivariable-calculus derivatives

modified 1 hour ago Arctic Char 4,927

0

votes

0

answers

7

views

Poisson distribution and Bayes Theoreom / Tree diagram?

poisson-distribution bayes-theorem

asked 1 hour ago WithRegards 1

0

votes

0

answers

14

views

How can I verify is a fluid is a swirling flow?

physics fluid-dynamics

modified 1 hour ago yemino 647

2

votes

0

answers

16

views

Existence of primitive permutation group one of whose arc stabilisers is normal in the point stabiliser

abstract-algebra group-theory permutations finite-groups

modified 1 hour ago Hongyi Huang 2,751

2

votes

0

answers

24

views

If $f+g+h-m \leq c$ then $f+g+h \leq d$ for some $d \in \mathbb{R}$?

real-analysis inequality

modified 1 hour ago Arctic Char 4,927

1

vote

0

answers

14

views

If $\lambda$ is not a eigenvalue of $H$ then the ODE $x'=Hx+e^{\lambda t }p$ has a solution $\phi(t)=e^{\lambda t}v$

ordinary-differential-equations

asked 1 hour ago CharlesXavier 135

3

votes

0

answers

39

views

Question about the application of the Mean value Theorem

real-analysis derivatives

modified 1 hour ago Arctic Char 4,927

0

votes

0

answers

12

views

How to solve this using conditional expectation?

probability expected-value conditional-expectation

modified 1 hour ago StubbornAtom 12k

0

votes

0

answers

18

views

Using Composition to Prove Inverse Functions

functions inverse-function

modified 2 hours ago Arctic Char 4,927

1

vote

1

answer

14

views

Pertubation theory in sagemath

mathematical-physics perturbation-theory general-relativity sagemath

answered 2 hours ago Jollywatt 218

0

votes

0

answers

20

views

Using Stars and Bars

combinatorics

asked 2 hours ago Lissss 1

0

votes

0

answers

9

views

Computing curvature with just the speed function

differential-geometry

asked 2 hours ago Wiza 89

0

votes

0

answers

16

views

$\sum_{q=1}^\infty (\sum_{p=1}^q a_{pq}) = \sum_{p=1}^\infty (\sum_{q=p}^\infty a_{pq}) = \sum_{(p,q)\in M} a_{pq}$?

sequences-and-series double-sequence

asked 2 hours ago tchappy ha 3,164

0

votes

0

answers

16

views

Dimension of subrepresentations of finite group

finite-groups representation-theory

asked 2 hours ago y255yan 149

1

vote

0

answers

33

views

Why does solving this equation with differential equations and related rates yield different results?

modified 2 hours ago John Omielan 31k

0

votes

0

answers

9

views

Understanding a Probability Distribution with a CDF and how to use the CDC's asymptomatic estimate thoroughly

statistics probability-distributions bayesian cumulative-distribution-functions

asked 2 hours ago Steven Alsheimer 3

0

votes

0

answers

4

views

Perfect Kernel analogue for NON $\sigma-$compact subsets of a Polish space

set-theory descriptive-set-theory polish-spaces

asked 2 hours ago Irish_Space 1

-1

votes

0

answers

8

views

(-1,2,-1 tridiagonal matrix) Linear Algebra with G.S. Fifth Edition book Page 357 6.5C

linear-algebra tridiagonal-matrices

asked 2 hours ago Zhang Kin 1

0

votes

0

answers

15

views

If all finite subsets of a set have at most rank W, does the set itself necessarily have at most rank W?

logic set-theory ordinals

asked 2 hours ago Keith Wynroe 65

0

votes

0

answers

6

views

Rules for integration of logarithms related to entropy

integration partial-derivative entropy

asked 2 hours ago develarist 313

0

votes

0

answers

2

views

Proof of unique existence of Stochastic Wave Equation (d=1)

stochastic-pde

asked 2 hours ago user9185127 1

0

votes

1

answer

9

views

Proof Check : What is the probability that a run of $n$ consecutive successes occurs before a run of $m$ consecutive failures?

probability independence binomial-distribution

answered 2 hours ago Vinay Varahabhotla 403

0

votes

0

answers

10

views

Question about the proof of Reeb's theorem in Milnor's Morse Theory

proof-explanation differential-topology smooth-manifolds smooth-functions morse-theory

asked 2 hours ago probably123 1,121

0

votes

0

answers

3

views

How does the closest point change with respect to variation of the set

convex-analysis

asked 2 hours ago nowhere 115

1

vote

1

answer

21

views

Prove that $ \neg ( P \iff Q) \equiv \neg P \iff Q $

discrete-mathematics logic propositional-calculus

modified 2 hours ago tkf 4,223

0

votes

0

answers

6

views

What is the antiderivative of this double integral that has a logarithm?

integration logarithms partial-derivative

asked 2 hours ago develarist 313

0

votes

0

answers

10

views

Let us consider the linear differential function $x'=a(t)x+b(t)$, where $a(t), b(t)$ are continuous real functions on the half-axis $t \geq 0$.

ordinary-differential-equations

asked 2 hours ago jiid 27

3

votes

0

answers

92

views

+50

Chernoff bound for binary cross entropy loss

probability statistics

modified 2 hours ago MONODA43 533

1

vote

0

answers

11

views

Prove that 5 lines are concurrent, and find the expression for the position vector of the point they all go through.

geometry vector-spaces

asked 2 hours ago rksrcl 41

0

votes

0

answers

11

views

Prove that H:={z∈C×: z^n= 1 for some n∈Z+} ≤C^(×) .(Note: Different values of z can use different values of n; i.e. n is not fixed.

abstract-algebra

asked 2 hours ago mathguy1234 11

0

votes

0

answers

12

views

Examples of second order theories

logic second-order-logic

asked 2 hours ago Daniel Lara 1

0

votes

0

answers

10

views

Set Proofs — Contradiction?

discrete-mathematics solution-verification

asked 2 hours ago Lorenza Fuller 51

1

vote

0

answers

13

views

Finding the angle of two congruent isosceles triangles inscribed in a semi circle.

geometry contest-math euclidean-geometry

asked 2 hours ago JC12 723

0

votes

0

answers

3

views

Checking a property of a closed vector subspace of $L^1$.

lp-spaces

asked 2 hours ago UserA 1,314

0

votes

0

answers

8

views

Game Theory Rational Outcome Help

game-theory

asked 3 hours ago Clayton 1

1

vote

0

answers

23

views

How can I solve this equation for $T$?

linear-algebra numerical-linear-algebra

modified 3 hours ago Jean-Claude Arbaut 18.7k

0

votes

0

answers

8

views

Show that Lipschitz equivalence implies the associated sup metrics are also Lipschitz equivalent

general-topology metric-spaces solution-verification

modified 3 hours ago Edi 101

-1

votes

1

answer

56

views

Can we build $\beth_2$ number of balls from one balls according Banach Tarski theorem?

elementary-set-theory

answered 3 hours ago Paul Sinclair 28.7k

1

vote

1

answer

24

views

Determine the shaded area

euclidean-geometry area

modified 3 hours ago John Omielan 31k

1

vote

0

answers

13

views

Show that $T_{(p,q)}(M\times N)\cong T_p M\oplus T_q N$. Tangent space to the product manifold.

differential-geometry solution-verification manifolds tangent-spaces

asked 3 hours ago user89898989 73

0

votes

1

answer

26

views

Orthogonal factorization system in a model category

category-theory model-categories

answered 4 hours ago Zhen Lin 71.9k

4

votes

1

answer

101

views

Unconditional convergence of a sum of elements in a complete Hausdorff topological ring.

sequences-and-series general-topology convergence-divergence topological-groups topological-rings

modified 4 hours ago Alex Ravsky 65.9k

0

votes

0

answers

10

views

Weakly Compact Generated spaces

functional-analysis compact-operators

asked 4 hours ago probafds123 59

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