Mathematics Stack Exchange

0

votes

0

answers

3

views

why Hahn-banach theorem is used?

functional-analysis

asked 2 mins ago jasmine 8,316

0

votes

0

answers

3

views

About Function Composition with Dirac Delta Function : g(t) = $\delta(exp(t))$

calculus physics distribution-theory dirac-delta

asked 2 mins ago Ali Dastgheib 1

1

vote

2

answers

32

views

Pigeonhole principle in prime numbers

combinatorics discrete-mathematics elementary-set-theory proof-explanation

modified 3 mins ago Bill Dubuque 246k

0

votes

0

answers

5

views

Simplify fractions with Big-$O$ in the denominator

asymptotics

asked 4 mins ago Babado 1,005

0

votes

0

answers

8

views

How one makes a nice approximation using Taylor series

taylor-expansion

modified 4 mins ago Jean Marie 53k

0

votes

0

answers

2

views

Maximum Acyclic Subgraph of graph with reverse edges

graph-theory

asked 4 mins ago Denis L 101

0

votes

0

answers

6

views

For a given probability distribution, what is the meaning of “expected value equals to zero”?

probability-distributions expected-value

asked 5 mins ago Sreshtha Mehrotra 11

0

votes

0

answers

12

views

Prove that the equality is valid

real-analysis integration

modified 55 secs ago Vitor Hugo Vieira 1

0

votes

0

answers

3

views

generating random variable

probability random-variables

asked 6 mins ago Karim 17

2

votes

1

answer

33

views

Show that $\text {ran} (T + K)$ is closed.

functional-analysis operator-theory hilbert-spaces compact-operators

modified 7 mins ago Evangelopoulos F. 1,041

0

votes

0

answers

9

views

Quotient of Pascal's triangles rows

combinatorics binomial-coefficients

modified 7 mins ago user 21.1k

0

votes

0

answers

3

views

Proving existence by using algebraic method and resolution

logic

asked 8 mins ago Adrian 1

0

votes

0

answers

5

views

Splitting an intersection of cylinders into idential solids

geometry

asked 8 mins ago Carl 1

0

votes

0

answers

2

views

Can I define constraints in pyomo as a list?

convex-optimization mathematical-modeling constraints python

asked 8 mins ago PcumP_Ravenclaw 128

0

votes

0

answers

3

views

approximation of radon measure

real-analysis measure-theory lp-spaces

asked 10 mins ago Paul 1

0

votes

1

answer

10

views

How many left cosets of <f>=<246> are in s6?

abstract-algebra group-theory permutations group-isomorphism

answered 10 mins ago Jack Neubecker 93

0

votes

0

answers

2

views

The assumed form of the growth function polynomial.

polynomials graphing-functions

asked 10 mins ago sleepy23 1

0

votes

0

answers

4

views

Does sign-magnitude ordering admit infinite descending chains in any discretely ordered ring?

abstract-algebra ring-theory order-theory well-orders

modified 11 mins ago Jonas Kölker 526

0

votes

0

answers

7

views

Proof that a recurrent class is also an absorbing class

stochastic-processes markov-chains

asked 12 mins ago keith 31

0

votes

1

answer

7

views

What is the difference between a multi-compartment model and a lumped parameters model?

mathematical-modeling

modified 14 mins ago Vítězslav Štembera 844

1

vote

0

answers

18

views

What is the $!$ sign?

factorial

asked 15 mins ago Water Water 11

1

vote

1

answer

14

views

Finding a probability using PDF of uniform distribution

probability

answered 15 mins ago Henry 129k

0

votes

0

answers

9

views

Green function in the sense of distributions

differential-geometry partial-differential-equations manifolds riemannian-geometry distribution-theory

modified 15 mins ago Dubious 11.2k

1

vote

1

answer

29

views

Theorem $1.7$ in Friedberg's Linear Algebra

linear-algebra

modified 20 mins ago Singh_Gunjeet 271

2

votes

1

answer

26

views

Alternative Proof for Rudin's Theorem 2.17(b)

real-analysis analysis measure-theory alternative-proof

modified 22 mins ago epsilon-emperor 5,125

2

votes

0

answers

12

views

Showing $4-\csc^2\left( \frac{n \pi}{6(n-2)} \right)$ is on the order of $1/n$

inequality spherical-geometry

asked 22 mins ago jeffery_the_wind 811

1

vote

0

answers

4

views

Derivation of this modified taylor series where we dont need to go to infinite differentiable condition.

taylor-expansion

asked 24 mins ago WayBig 321

1

vote

1

answer

42

views

Homogeneous polynomial of degree $n$ in $n^2$ indeterminates that cannot be the sum of the terms of degree $n$ in $P_1Q_1 + … + P_k Q_k$

abstract-algebra polynomials commutative-algebra finite-fields

answered 25 mins ago Florian Adler 441

1

vote

0

answers

30

views

Length of this expression can take in positive integers including 0

binomial-theorem

modified 27 mins ago WayBig 321

0

votes

1

answer

9

views

Definition of the second order functional derivative

functional-analysis

answered 30 mins ago user10354138 26.4k

0

votes

1

answer

8

views

How to compare distances measured in spaces of different dimensionality

metric-spaces euclidean-geometry dimensional-analysis

answered 31 mins ago uniquesolution 15.3k

2

votes

1

answer

50

views

+100

Branch cuts of the Hypergeometric function with one complex parameter

hypergeometric-function branch-cuts

modified 31 mins ago Pietro Dona 15

0

votes

0

answers

7

views

Matrix form of the FFT

matrices fourier-analysis numerical-linear-algebra fast-fourier-transform

asked 32 mins ago deerclaysup 109

1

vote

1

answer

25

views

Prove that if the number $\binom{n}{2} - \binom{k}{2}$ is divisible by the prime number $p = 2k - 1$, then it is divisible by $p^2$ too.

elementary-number-theory combinations

answered 34 mins ago lhf 201k

0

votes

0

answers

9

views

Let $X$ be the set of all polynomials of degree $4$ in a single variable $t$ such that every coefficient is a single-digit non-negative integer.

combinatorics

asked 36 mins ago ddswsd 1,059

2

votes

1

answer

32

views

Simplicial orbit realization functor.

homotopy-theory simplicial-stuff adjoint-functors

modified 41 mins ago Vincent Boelens 2,319

0

votes

0

answers

9

views

Non-convergent Cauchy sequence example

real-analysis sequences-and-series functional-analysis cauchy-sequences complete-spaces

asked 41 mins ago Arecia 55

4

votes

2

answers

73

views

First passage time in Brownian motion

probability-theory stochastic-processes brownian-motion

answered 42 mins ago Alvin Lepik 5,148

0

votes

0

answers

16

views

Find $e$ in set closed under subtraction, hence prove co-prime elements have GCD $=1$.

elementary-number-theory proof-explanation coprime

modified 42 mins ago jiten 3,065

0

votes

0

answers

7

views

How does sequent validity differ from semantic entailment?

logic solution-verification propositional-calculus

modified 44 mins ago Gerhardus Carinus 143

0

votes

1

answer

17

views

Will there be a component of acceleration perpendicular to the surface along which a particle moves?

vectors vector-analysis

modified 49 mins ago Kashmiri 377

0

votes

0

answers

20

views

Finitely Generated subgroups

combinatorics group-theory geometry hyperbolic-geometry

modified 57 mins ago Riya Sharma 57

0

votes

1

answer

9

views

Find the integral under the region $3x<4y, 0<x<1,0<y<1, f(x,y)=p^2(xy)^{p-1}$

integration

modified 59 mins ago Kavi Rama Murthy 253k

0

votes

1

answer

10

views

Estimate with quadrature rules

partial-differential-equations numerical-methods finite-element-method

modified 1 hour ago Vítězslav Štembera 844

0

votes

1

answer

22

views

Ring homomorphism from $\mathbb{F}[x,y]$ to $\mathbb{F}[u]$

polynomials ring-theory ring-homomorphism multivariate-polynomial

answered 1 hour ago mrtaurho 12.8k

0

votes

0

answers

16

views

Law of total probability: Tossing a fair coin until two consecutive heads appears

probability probability-theory conditional-probability

asked 1 hour ago pabhp 697

0

votes

0

answers

21

views

Any Equivalence between Limit computed via L'Hospital's rule and 0/0 i.e $(\frac{lim_{x \to c}f(x)}{lim_{x \to c}g(x)})$?

calculus limits nonstandard-analysis infinitesimals

modified 1 hour ago user907419 1

-1

votes

0

answers

10

views

Lower bound on the variance of the minimum function

probability variance upper-lower-bounds

asked 1 hour ago Euler 49

0

votes

1

answer

10

views

closed form of multiple in the probability of a two to one collision problem (birthday paradox).

probability closed-form birthday collision-detection

answered 1 hour ago Henry 129k

7

votes

1

answer

133

views

Likelihood of circle vs. ellipse vs. parabola vs. hyperbola from $ax^2+bxy+cy^2+dx+ey+f=0$ with coefficients uniformly random in $[-1,1]$

probability polynomials conic-sections

modified 1 hour ago Intelligenti pauca 36.4k

1

vote

0

answers

16

views

Possible to show uniform integrability of sample mean using central limit theorem?

probability probability-theory expected-value central-limit-theorem uniform-integrability

modified 1 hour ago sonicboom 8,533

1

vote

0

answers

11

views

Probability of one PDF being greater than the other

probability-theory statistics probability-distributions density-function

asked 1 hour ago Dimka Kopitkov 65

-1

votes

0

answers

27

views

Taylor approximation with unknown derivatives

linear-algebra taylor-expansion partial-derivative

modified 1 hour ago Gianmarco Tiraboschi 1

1

vote

0

answers

31

views

Seemingly simple convex analysis problem

convex-analysis economics

modified 1 hour ago Khánh Toàn 21

3

votes

2

answers

30

views

Simple question on a quotient space of real projective space

general-topology geometry

answered 1 hour ago WimC 27.8k

2

votes

1

answer

32

views

18 teams play against 8 teams each…

combinatorics

answered 1 hour ago Alexey Burdin 5,112

0

votes

1

answer

19

views

Showing that the intersection of two sets is integral

commutative-algebra integral-extensions algebraic-numbers

modified 1 hour ago mrtaurho 12.8k

0

votes

0

answers

11

views

Tree with infinitely repeating colouring

combinatorics trees coloring ramsey-theory

asked 1 hour ago Jim 25

0

votes

1

answer

12

views

Finding Histogram Mean

statistics means descriptive-statistics

answered 1 hour ago Adam Rubinson 5,235

0

votes

0

answers

12

views

convolution with a mollifier

real-analysis analysis lebesgue-integral

asked 1 hour ago Laila 3

0

votes

0

answers

14

views

Definition of orthogonal projection of a matrix

orthogonal-matrices projection-matrices

asked 1 hour ago Iasonas Pavlidis 3

0

votes

0

answers

7

views

Canonical orientation on a regular level set

differential-geometry smooth-manifolds vector-bundles orientation tangent-spaces

asked 1 hour ago probably123 1,431

8

votes

2

answers

224

views

Geometric intuition on $\langle x, A^\top y\rangle = \langle y, Ax\rangle$

linear-algebra geometry linear-transformations bilinear-form

modified 1 hour ago Rodrigo de Azevedo 17.4k

1

vote

1

answer

26

views

Minimize a Weighted Error Function

statistics error-function

modified 1 hour ago Vítězslav Štembera 844

0

votes

0

answers

21

views

Using Krull Dimension, show that the transcendence degree of an affine $K$-domain is the size of a maximal algebraically independent subset

algebraic-geometry commutative-algebra

modified 1 hour ago Shana 395

0

votes

1

answer

9

views

Transforming between standard forms of linear programs?

linear-algebra optimization linear-programming

answered 1 hour ago Siong Thye Goh 129k

2

votes

0

answers

59

views

+50

Validity of $\ln z=\frac{\pi}{\operatorname{AGP}(\theta_2^2(1/z),\theta_3^2(1/z))}$

sequences-and-series complex-analysis algorithms special-functions theta-functions

modified 1 hour ago Wane 325

0

votes

2

answers

94

views

Find $x+y+z$ given $x^2+y^2+z^2$ and $x^3+y^3+z^3$

square-numbers

modified 1 hour ago Adi Sundaram 25

1

vote

1

answer

10

views

Let $f:(X,d) \to (Y,d')$ be a continuous function and $(x_n)$ a convergent sequence in $X$. Show that $(f(x_n)) \in Y$ converges to $f(x')$.

real-analysis general-topology metric-spaces

answered 1 hour ago epsilon-emperor 5,125

0

votes

0

answers

21

views

Coefficient of characteristic polynomials

linear-algebra proof-writing proof-explanation characteristic-polynomial

modified 2 hours ago Eleonor.S-J 9

1

vote

1

answer

28

views

Classification of odd primes

number-theory irreducible-polynomials

answered 2 hours ago GreginGre 9,025

0

votes

0

answers

5

views

A given vector is not an unimodular scalar multiple of other

real-analysis linear-algebra functional-analysis

asked 2 hours ago srm99 370

0

votes

1

answer

16

views

Volume between curves: equilateral triangles

calculus

answered 2 hours ago Alexey Burdin 5,112

4

votes

0

answers

98

views

+100

Extreme concave function on the simplex

convex-analysis simplex

modified 2 hours ago P. Quinton 3,472

0

votes

0

answers

30

views

The period of an arbitrary function $\phi$

discrete-mathematics functions periodic-functions

modified 2 hours ago Bill Dubuque 246k

0

votes

0

answers

6

views

Convex Optimisation - the objective function of OSH

optimization convex-optimization

asked 2 hours ago siegfried 197

0

votes

0

answers

11

views

Can the points of a convergent sequence be connected by a smooth curve?

real-analysis analysis differential-geometry curves

asked 2 hours ago t312t 192

0

votes

0

answers

13

views

Techniques of proving a polynomial is irreducible in rational numbers

irreducible-polynomials

asked 2 hours ago Nonenicht 25

0

votes

0

answers

15

views

Line integral polar coordinates

integration substitution

asked 2 hours ago Mathis 1

0

votes

0

answers

21

views

find the value of $g(x)$ with $f(x)$— Fourier integral

laplace-transform fourier-transform

modified 2 hours ago user 21.1k

0

votes

0

answers

15

views

Linear System of equations - Correct solution?

linear-algebra

modified 2 hours ago ma251 11

0

votes

0

answers

10

views

Laplacian and Fourier Transform in a differential equation

partial-differential-equations fourier-transform laplacian

asked 2 hours ago NambuGotto 11

0

votes

0

answers

19

views

Homology group $H_*(X\times S^n)$ by Mayer Vietoris Sequence

algebraic-topology homological-algebra spheres

modified 2 hours ago Kevin. S 2,310

7

votes

1

answer

112

views

Does every vector bundle have a 'tensor inverse'?

algebraic-geometry vector-bundles characteristic-classes k-theory

modified 2 hours ago hm2020 1,335

1

vote

0

answers

17

views

Homology class of real projective space inside complex projective space

algebraic-topology homology-cohomology

asked 2 hours ago Hans 3,017

8

votes

3

answers

5k

views

Determining the number of ways a number can be written as sum of three squares

number-theory elementary-number-theory recreational-mathematics computational-mathematics

answered 2 hours ago franz lemmermeyer 8,879

0

votes

1

answer

31

views

Complex number lemma

polynomials complex-numbers

answered 2 hours ago DuduBob 244

2

votes

2

answers

58

views

Proving Homeomorphisms between Topological Spaces without finding explicit functions

general-topology alternative-proof

modified 3 hours ago Henno Brandsma 195k

2

votes

3

answers

56

views

Proving that in a quadrilateral $ABCD$, where $P$ is the intersection of angle bisectors of $BAD$ and $ADC$, $|BP|=|CP|$

geometry angle quadrilateral

answered 3 hours ago DR SK MOBINUL HAQUE 1,356

0

votes

0

answers

10

views

A transforms converts an unbounded sequence into bounded

functional-analysis sobolev-spaces variational-analysis

asked 3 hours ago Shirley Wood 13

0

votes

0

answers

8

views

Trying to understand why obtaining the unit singular vector for the smallest singular value in SVD is the optimal solution

linear-algebra computer-vision

asked 3 hours ago TripleS 121

3

votes

1

answer

750

views

Estimating the Length of the Groove on an LP

algebra-precalculus

modified 3 hours ago Reality check 1

7

votes

0

answers

50

views

Solve equation with floored $x$

calculus elementary-set-theory solution-verification ceiling-and-floor-functions

modified 3 hours ago Righter 201

1

vote

1

answer

78

views

Collatz Conjecture: Properties of odd integers that make up a cycle

summation solution-verification collatz-conjecture

modified 3 hours ago Hagen von Eitzen 342k

7

votes

1

answer

101

views

Avoid the planes - the geometry of grassmannians

linear-algebra geometry algebraic-topology continuity grassmannian

modified 3 hours ago Chris H 3,219

0

votes

1

answer

27

views

How can I prove the following inequality is correct?

discrete-mathematics induction binomial-coefficients binomial-distribution theorem-provers

answered 4 hours ago Simon Rose 6,163

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