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0 answers
5 views

$(M,h)$ and $(N,g)$ are Hermitian manifolds. $f:M\to N$ is holomorphic. What is the meaning of $f^*g\leq h$?

3 votes
1 answer
78 views
+50

Minimizing surface area of revolution for a fixed volume of revolution

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1 answer
13 views

Computing the Hessian from the Jacobian of the gradient

1 vote
3 answers
154 views

Prove that $y-x < \delta$

4 votes
0 answers
33 views

How to evaluate the integral $\int_0^{\infty} \frac{\sin(k \ln(t))}{\sqrt{t}} \left\{\frac{1}{t}\right\} \, dt $

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0 answers
27 views

Degenerate perturbation theory to nonlinear equation

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0 answers
27 views

Prove that the usual metric and other metric induce the same topology

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1 answer
39 views

Reference Request: Hausdorff–Young inequality for the inverse Fourier seires

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0 answers
12 views

Jacobson Radical

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0 answers
21 views

Equality of two completions

0 votes
1 answer
58 views

Is every geodesic constant-speed?

3 votes
1 answer
237 views

Quaternionification isomorphims

1 vote
1 answer
19 views

Law of Total Probability and Conditional Probability

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0 answers
2 views

elliptic estimates for Hermitian line bundles on Kahler manifolds

2 votes
0 answers
14 views

Finding non-repeating 9-digit numbers

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0 answers
7 views

clarification on the sum of the squared differences

1 vote
0 answers
17 views

how to find closed form for ${}_3F_2(-1)$ function ideintity?

1 vote
3 answers
1k views

How to find the tangent plane to a given point on a surface?

1 vote
1 answer
85 views

Finding $\sin(\alpha-30^\circ)$, where $\tan\frac{\alpha}{2}=\frac{1}{2}$ and $\alpha$ is in the 2nd quadrant, without a calculator

8 votes
1 answer
271 views

Axler "Linear Algebra Done Right" Exercise 6.B.13

1 vote
0 answers
13 views

Holomorphic interpolation of a square summable sequence

2 votes
1 answer
19 views

Does the fourier transform of the product of test function and bounded function belong to $L^p$?

0 votes
1 answer
38 views

Is there a geometric interpretation to this complex equation?

3 votes
1 answer
64 views

A method of solving systems of linear equations in $\mathbb{C}$

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0 answers
39 views

An inequality involving infinite series

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0 answers
10 views

Why are non-compact Hermitian symmetric spaces Stein spaces?

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0 answers
7 views

Connection between regularity of homogeneous random field in $R^2$ and absolute continuity. Has this been generalized to the $n$-dimensional case?

4 votes
2 answers
59 views

How do I distinguish between "e" the natural log base and a variable conventionally referred to as "e"?

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19 views

Is this a kind of generalized Lebesgue Differentiation Theorem?

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0 answers
12 views

Analytic uniformization

-1 votes
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14 views

Elementary assumption question on Jaynes' Sum Rule derivation (2.48 - 2.50)

3 votes
1 answer
100 views

Prove $\sqrt{\frac{a+bc}{b+c}}+\sqrt{\frac{b+ac}{a+c}}+\sqrt{\frac{c+ba}{b+a}}\ge 3.$

0 votes
1 answer
23 views

Differential operations on tensors and scalars

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0 answers
14 views

Behavior of polynomials in cyclotomic extensions of finite fields

-1 votes
1 answer
40 views

How many integers in {1,2 ..., 100} are divisible by 2, 3, 8 or 10 using inclusion exclusion principle

3 votes
2 answers
167 views

Can we convert the following integral equation to a differential equation:$h(r)= \int_0^\infty\frac{f(x)}{e^{r x} + 1} dx$?

2 votes
2 answers
2k views

Find the half-range Fourier series expansion of $f(x) = \cos(x)$

-2 votes
0 answers
9 views

Set that half-fills every interval

1 vote
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48 views

Invariance under $\operatorname{Aut}(N / \{M\})$

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0 answers
5 views

Expectation of Inverse-chi-squared distribution with 1 degree of freedom

2 votes
0 answers
36 views

An Optimal way to approach Math Olympiad Number Theory problems

0 votes
1 answer
29 views

T/F: If $\alpha\in\mathbb{R}_{>1}$ is not Pisot, then $\{\lfloor\alpha^n\rfloor:n\in\mathbb{N}\}$ contains infinitely many odd and even integers

1 vote
0 answers
52 views

Finding a function in the unit sphere of a functional subspace with a couple of properties

2 votes
1 answer
49 views

Algebraic extension of $\operatorname{End}(R^{n})$ acts on $R^{m}$?

3 votes
1 answer
87 views

Approximating solution to vector recurrence relation with element-wise exponential

4 votes
1 answer
135 views
+100

What is the number of facets of a $d$-dimensional cyclic polytope?

3 votes
2 answers
101 views

Every Prime Ideal in Z[x] which is not principal contains a prime?

1 vote
0 answers
21 views

Intuition behind the identity $\overline{\phi^*(V(\mathfrak b))}=V(\mathfrak b^c)$

-1 votes
0 answers
15 views

Determining a Lyapunov function based on solution of differential equation

1 vote
1 answer
29 views

Different notion of almost periodicity using almost periods

2 votes
1 answer
51 views

concyclicity related to the Humpty point

1 vote
0 answers
30 views

Integral $\int_x\Big|\frac{f(x)-f(0)}{x}\Big|^2\,dx$

0 votes
0 answers
18 views

Chessboard Domination by too few queens?

2 votes
0 answers
45 views

How to prove the continuity of the path lifting function of covering spaces.

0 votes
1 answer
37 views

Jacobson radical and invertible element

9 votes
3 answers
258 views

$a^3 + b^3 + c^3 = 4abc$ has no positive integer solutions

1 vote
0 answers
23 views

Convergence of series regarding symmetric difference

-1 votes
1 answer
28 views

Division , is it the quantity contained by one group?

2 votes
0 answers
10 views

Examples of closed categories which are not monoidal closed?

4 votes
1 answer
132 views
+50

Long term probability of going bankrupt?

1 vote
1 answer
46 views

Oven temperature

3 votes
0 answers
38 views

Projection onto a real subspace within a complex vector space

0 votes
0 answers
14 views

Dense inclusions for $L^{\infty}$-Bochner spaces

1 vote
0 answers
20 views

Show multivariate version of Slutsky's theorem: $Z_nX_n\overset{d}{\to}AX$

0 votes
0 answers
18 views

Categorical condition for the cokernel of a "diagonal" map

3 votes
1 answer
294 views

Reference for theorems in Hirsch

6 votes
1 answer
72 views

Does this inequality holds $ \int_{[0,1]} (f')^2 e^f dx \geq C \int_{[0,1]} f dx$ for some constant $C>0$?

0 votes
1 answer
17 views

The Relationship Between Field Extension Tower and Tensor Product

0 votes
0 answers
37 views

Let $f,g\in C[0,1]$ and $U= \{h\in C[0,1]:f(t)<h(t)<g (t),\forall t\in [0, 1]\}$ in $X= (C[0,1], \| .\|_{\infty} ).$ Is $U$ a ball in $X?$

1 vote
0 answers
12 views

Compensating acceleration vectors from IMU orientation

2 votes
0 answers
17 views

Is there a Log-Sobolev inequality for Lebesgue measure on $[0,1]$ on compact subsets of $\mathbb R^n$?

-2 votes
0 answers
10 views

Martingale proof explanation

-1 votes
1 answer
31 views

Proving opposite statements in inequalities

0 votes
0 answers
19 views

How to show that the increment operation for natural numbers is well defined?

5 votes
1 answer
187 views

Conjectures involving $\Lambda(n)$

4 votes
0 answers
61 views

prove $\mathcal{L}^n(A(E))=|det A|\mathcal{L}^n(E) $

0 votes
0 answers
8 views

monotonicity of Dirichlet energy under different Dirichlet boundary conditions.

0 votes
0 answers
14 views

Minimum Spanning Tree (MST): Cut property direct proof

8 votes
0 answers
289 views

What is $\min\{ m+k\}$ such that $ \binom{m}{k}=n$?

0 votes
0 answers
28 views

Prove that for $n$ sufficiently large and $k \leq n$, there exists $m$ having exactly $k$ divisors $\le n$

1 vote
0 answers
25 views

Can any one teach me about proof of Theorem 7 in page 282 of the Evans's PDE book more friendly?

0 votes
2 answers
96 views

Showing that if $fT=0$, then $\text{supp }T\subset\{x:f(x)=0\}$

0 votes
0 answers
20 views

Fully spanning subset

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0 answers
9 views

Small examples of non-transitive Automorphism groups of Steiner Systems

0 votes
0 answers
16 views

Smith normal form of 3x3 matrices

0 votes
0 answers
45 views
+150

Can $S/\mathfrak{q}^{[p]}$ have embedded primes?

0 votes
0 answers
14 views

Steps on solving point to plane exercises

1 vote
0 answers
20 views

Conservative idempotent magma - proof attempt

1 vote
0 answers
23 views

How axioms of inner product ensure that an instantiation/realization capture notion of angle correctly?

-1 votes
0 answers
50 views

How to optimize a PET Bottle using Lagrange Multipliers

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0 answers
42 views

Solution to exercise 1.1.12 of Terence Tao's Random Matrix Theory notes

0 votes
1 answer
281 views

Solve $z(1-q^2)=2(px+qy)$

0 votes
0 answers
72 views

Is my proof rigorous enough? Spivak, Prove:$\lim_{x \to a}f(x)=\lim_{h \to 0}f(a+h)$ (Chapter 5, Problem 10)

0 votes
0 answers
40 views

Can a function that's second derivative zero have a local non global maximum or min?

1 vote
1 answer
78 views

Where is the error in evaluating this integration:$\int^{\infty}_{-\infty}\frac{\cos(2x)}{(1+x^2)^2}$

0 votes
2 answers
2k views

tire puzzle with probability

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