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show that $\lim_{t\to\infty} \frac{1}{t}\log(\int_{0}^{1}e^{-tf(x)}dx)=-\min_{x\in[0,1]}f(x)$

calculus integration limits

modified 2 mins ago Qurultay 2,923

0

votes

1

answer

8

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Expected value from covariances and variances

statistics

modified 2 mins ago drhab 124k

0

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0

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10

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An application of Fubini's theorem I don't understand

measure-theory haar-measure product-measure

modified 3 mins ago LBJFS 1,077

1

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1

answer

9

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Show the map $f(x)=||Lx||$ is a functional on the normed space $X$

functional-analysis normed-spaces

answered 3 mins ago T_M 1,427

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1

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30

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Is analysis an area of maths we understand fully, or are there many open questions?

analysis

answered 4 mins ago T_M 1,427

0

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1

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17

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transformation

answered 5 mins ago Ross Millikan 329k

1

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2

answers

11

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Planar system and second-order differential equation

ordinary-differential-equations

modified 5 mins ago LostInSpace 17.3k

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0

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15

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combinatorics recurrence-relations exponential-function

modified 6 mins ago Maths1999_ 121

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1

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14

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probability conditional-probability

modified 7 mins ago snoram 574

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1

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14

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Let $Y$ be a subspace of $X$. Then $A\subseteq Y$ is closed in $Y$ if $A=C\cap Y$ for closed set $C$ in $X$

general-topology

answered 8 mins ago T_M 1,427

1

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1

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42

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Inequality $\sum_{cyc}\frac{a^{60}}{\frac{11}{2}a^{50}+5b^{50}}\geq 2\frac{a^{10}+b^{10}+c^{10}}{21}$

algebra-precalculus inequality buffalo-way

answered 8 mins ago Michael Rozenberg 144k

0

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1

answer

18

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Computing Maximum Entropy Distribution

probability-distributions optimization physics statistical-inference entropy

answered 9 mins ago pegasus 57

0

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1

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21

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geometry linear-transformations 3d

answered 14 mins ago Anonymous Coward 1

2

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1

answer

55

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Use tiling to prove Cassini identity

proof-explanation combinations fibonacci-numbers combinatorial-proofs tiling

modified 15 mins ago Somos 20.8k

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0

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20

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Is this a valid interpretation of probability?

probability

asked 17 mins ago John B 145

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0

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10

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Convex function inequality.

real-analysis convex-analysis

asked 18 mins ago CechMS 157

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1

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13

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Proof on simple extension

abstract-algebra field-theory extension-field

answered 19 mins ago Peter 69.2k

1

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1

answer

20

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Joint distribution of random vectors on a multinomial distribution

probability probability-theory probability-distributions multinomial-distribution

modified 20 mins ago Raskolnikov 13.3k

1

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1

answer

41

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general-topology continuity plane-curves polygons

modified 20 mins ago orangeskid 31.6k

0

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0

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8

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Add function value over an interval.

probability integration summation-method

asked 22 mins ago Rohan Chatterjee 11

0

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0

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11

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Find the distribution of $\xi$

statistics probability-distributions

asked 23 mins ago YZ Zhang 21

0

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0

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10

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Name for a “Tagged Functor”

terminology functors

modified 23 mins ago Andrew Ostergaard 3,999

0

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0

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16

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Morphism between Spec

abstract-algebra

modified 24 mins ago Bernard 144k

-1

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0

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9

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Constructing a Rational Point on An Elliptic Curve from A Given Point

geometry algebraic-geometry solution-verification elliptic-curves geometric-construction

asked 24 mins ago Andrew 622

7

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0

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225

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+200

Validating solution to PDE using integral transforms

integration pde improper-integrals contour-integration integral-transforms

modified 26 mins ago rami_salazar 355

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0

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4

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Proving the existence of a linear map such that a function diagram is commutative

linear-algebra solution-verification

asked 26 mins ago Abhijeet Vats 376

0

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1

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24

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What's the idea behind this inequality?

calculus derivatives inequality

answered 28 mins ago Claude Leibovici 150k

0

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1

answer

30

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Recurrence Formulas for Higher Order Derivatives

calculus ordinary-differential-equations multivariable-calculus

modified 29 mins ago LostInSpace 17.3k

0

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0

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5

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minimal genus of a $2$-homology class. Is it “natural” with respect to maps in some sense?

algebraic-topology differential-topology homology-cohomology

asked 34 mins ago Luigi M 3,315

0

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1

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22

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If $X$ is a scheme, what do we usually mean by $|X|$?

notation schemes

answered 39 mins ago Owen Barrett 1,327

0

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0

answers

8

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How to compute norm of vector-valued function in Sobolev Space H1?

analysis sobolev-spaces vector-fields

modified 42 mins ago Dmitry Kabanov 107

2

votes

0

answers

38

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f(x, y) = x if not zero, otherwise y

functions boolean-algebra

modified 42 mins ago Hjalmar Z 121

1

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0

answers

23

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Use Parseval's Theorem to derive value of sum - Spot the error!

real-analysis fourier-analysis fourier-series solution-verification

modified 43 mins ago Keen-ameteur 3,118

0

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0

answers

9

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Upper bound of tail of probability distribution assuming only finite first moment.

probability-theory

modified 43 mins ago ablmf 5,685

1

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1

answer

9

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Laplace transform in complex functions

complex-analysis ordinary-differential-equations laplace-transform

answered 44 mins ago Robert Israel 362k

5

votes

1

answer

30

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A disc inside a square with a sequence of uniform random vectors

probability probability-theory uniform-distribution

modified 46 mins ago Grada Gukovic 817

0

votes

0

answers

9

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Elliptic integral and AGM

proof-explanation

modified 46 mins ago J. W. Tanner 30.5k

0

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0

answers

23

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is saying: (p→q)→(q→p) equivalent to saying p→q, q ∴ p?

logic propositional-calculus first-order-logic predicate-logic

asked 46 mins ago cekami7844 53

1

vote

0

answers

9

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Series representation of non negative function

real-analysis measure-theory

asked 46 mins ago lord_kelvin 173

0

votes

1

answer

19

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Is there terminology for the polyhedron in N-space where every vertex is equidistant to both its adjacent vertices and a circumcentre?

geometry terminology spheres polyhedra

modified 46 mins ago Guy Inchbald 150

0

votes

0

answers

15

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Alternate definition of Cauchy sequence

cauchy-sequences

asked 48 mins ago StopUsingFacebook 501

0

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0

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26

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Prove or Disprove this statement .

inequality contest-math karamata-inequality

asked 49 mins ago The.old.boy 1,382

0

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0

answers

4

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References for definition of mean curvature in divergence form?

differential-geometry curvature mean-curvature-flows

asked 50 mins ago C. Bishop 231

1

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2

answers

21

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Exercise applying mean value theorem and Intermediate value theorem

real-analysis

answered 52 mins ago xpaul 26.2k

0

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0

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15

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An identity obtained by partial integration

calculus pde

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0

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0

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11

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Branch cuts of complex logarithm for Friedel oscillation

complex-analysis branch-cuts branch-points

modified 1 hour ago Dpolito 13

1

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0

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19

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Inverse of Matrix $I - e y^\top - ye^\top$

matrices inverse

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2

votes

0

answers

20

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$5$-dimensional irreducible representation of $\mathcal{A}_5$

group-theory finite-groups representation-theory characters

asked 1 hour ago Adam Chalumeau 3,542

0

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0

answers

21

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What kind of matrix does this symbol represent?

linear-algebra matrices

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0

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1

answer

21

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Calculation of variance

variance

modified 1 hour ago Graham Kemp 97.5k

0

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0

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11

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Working with equilateral pentagon

geometry euclidean-geometry

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0

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6

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gyroscope (un)desired traits for the extended kalman filter

angle kalman-filter convergence-acceleration

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0

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0

answers

38

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general-topology functional-analysis lipschitz-functions

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-1

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0

answers

8

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Exercise on Matlab about the dispersed matrix

matrices matlab

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4

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1

answer

31

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The proof of the quotient space of a manifold with properly discontinuous action is an orbifold.

smooth-manifolds geometric-topology quotient-spaces low-dimensional-topology orbifolds

modified 1 hour ago Lee Mosher 66.4k

0

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1

answer

33

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Why does the naive definition of fourier transform on $L^2$ fail?

functional-analysis fourier-analysis examples-counterexamples lp-spaces fourier-transform

modified 1 hour ago Masacroso 19.4k

5

votes

2

answers

98

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+50

How to calculate the spiral around a curve?

calculus geometry vector-spaces vectors

modified 1 hour ago phdmba7of12 747

1

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0

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10

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Is this simple condition enough to show $f:\mathbb{C}^3\to\mathbb{C}^3$ is holomorphic?

complex-analysis complex-geometry several-complex-variables

asked 1 hour ago Simon Parker 3,273

5

votes

2

answers

79

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Prove the three lines are concurrent.

geometry

modified 1 hour ago Aqua 67.7k

0

votes

0

answers

8

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Properties of solution to Burger's equation using Cole-Hopf transformation

real-analysis probability-theory pde

modified 1 hour ago Richard 2,464

2

votes

0

answers

16

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Algebraic varieties : How to calculate explicitly the ramification index?

abstract-algebra algebraic-geometry algebraic-curves ramification

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0

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0

answers

15

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Why is the Fourier series of a continuously differentiable function absolutely convergent?

fourier-analysis fourier-series

asked 1 hour ago JoieNL 143

1

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0

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13

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Stuck on proof of Uniqueness of SDE solution (Oksendal Thm. 5.2.1)

proof-explanation stochastic-differential-equations

asked 1 hour ago Aaron Hendrickson 768

0

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0

answers

17

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(vector \otimes vector) double dot tensor

multivariable-calculus

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0

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0

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9

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Mercer's theorem and Uniqueness of Kernel Spectral Decomposition

eigenvalues-eigenvectors reproducing-kernel-hilbert-spaces

asked 1 hour ago Cp.Nemo 1

3

votes

0

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43

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Find all numbers $n$ that consist of three digits, so that $n^2$ satisfies two specified conditions

proof-writing contest-math diophantine-equations solution-verification alternative-proof

asked 1 hour ago jvdhooft 6,638

0

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0

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15

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Proving concurrency

euclidean-geometry power-of-the-point

asked 1 hour ago Vann 491

0

votes

0

answers

28

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Reciprocal function (Inverse function)

calculus applications

modified 1 hour ago enima 1

0

votes

0

answers

8

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Least-Squares System Identification of combined waveshaper + FIR system

systems-of-equations matrix-equations least-squares system-identification

asked 1 hour ago LoveDaOOP 1

2

votes

0

answers

14

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About Vaught's conjecture for first order theories and interpretability

model-theory

modified 1 hour ago Mike Z. 31

0

votes

0

answers

22

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On a function of complex variable and conjugate of that Complex variable ;

complex-analysis functional-analysis

modified 1 hour ago Bambi 434

0

votes

1

answer

9

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Proof of global asymptotic stability for dynamical system

eigenvalues-eigenvectors dynamical-systems

answered 2 hours ago Evgeny 322

0

votes

0

answers

23

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Statistical Mechanics Integral

calculus integration

asked 2 hours ago Matheus Barreto 1

0

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0

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11

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Schur polynomial, elementary symmetric polynomial identity

polynomials symmetric-polynomials young-tableaux

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5

votes

1

answer

78

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integer part of the number

number-theory elementary-number-theory floor-function

answered 2 hours ago Aqua 67.7k

1

vote

2

answers

38

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Carothers Chapter 4, Exercise 5

real-analysis functions continuity

modified 2 hours ago PtF 7,571

0

votes

0

answers

14

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Proximal mapping and projection

projection simplex

modified 2 hours ago Natalie Lam 1

0

votes

0

answers

6

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eigendecomposition of symmetric complex matrices

complex-numbers eigenvalues-eigenvectors diagonalization matrix-decomposition symmetric-matrices

asked 2 hours ago mathDE 11

2

votes

2

answers

44

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Complex integration exercise with $\arctan $

complex-analysis complex-integration residue-calculus

modified 2 hours ago Random Variable 30.3k

0

votes

1

answer

37

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About Euler's line.

geometry euclidean-geometry homothety

modified 2 hours ago Aqua 67.7k

0

votes

0

answers

16

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Why is it the case that mathematically natural probability models are those that are invariant under certain transformation groups?

probability probability-theory

asked 2 hours ago thinkingdude 1

2

votes

0

answers

91

views

+50

Understanding an implication given in a lecture note (logarithmic inequality)

real-analysis logarithms

modified 2 hours ago Salamo 769

1

vote

0

answers

21

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Singular homology but only considering linear simplices $[v_0,…,v_n]$ is isomorphic to singular homology?

reference-request algebraic-topology

modified 2 hours ago J. W. Tanner 30.5k

0

votes

1

answer

25

views

Picking numbers for chores - Probability

probability

answered 2 hours ago Sam 1,998

4

votes

0

answers

121

views

+50

Change of variable in a rather complicated triple integral

integration analysis

modified 2 hours ago math12 4,715

0

votes

0

answers

16

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Given DAG find smallest DT

graph-theory

asked 2 hours ago Viktor Jeppesen 382

0

votes

1

answer

23

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How can I estimate a kalman gain matrix from system identification method?

control-theory estimation optimal-control kalman-filter system-identification

modified 2 hours ago Daniel Mårtensson 2,042

1

vote

0

answers

16

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How to find the probability of an occurrence in WRS test

probability statistics probability-distributions

asked 2 hours ago Kenny Smith 11

1

vote

0

answers

14

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Extension Borel measure on $[0, T]$

real-analysis measure-theory borel-measures signed-measures

asked 2 hours ago S. Blok 33

0

votes

0

answers

8

views

derivative of rotation matrix w.r.t euler angles (Z-Y-X)

partial-derivative rotations jacobian

asked 2 hours ago Damuno 13

0

votes

0

answers

12

views

What is the difference between $L^p(T)$ and $L^p([0,1])$?

sobolev-spaces lp-spaces

asked 2 hours ago gdj 59

1

vote

0

answers

22

views

Proof this statement: $\varphi _{U}(A) = e^{-2tr(AEAE)}$

statistics multivariable-calculus multinomial-theorem multinomial-distribution

modified 3 hours ago Dániel Boros 11

0

votes

1

answer

34

views

Introductory exercise of category theory

abstract-algebra category-theory functors

answered 3 hours ago Peter Smith 43.5k

1

vote

0

answers

9

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Proof of Linearity and Surjectivity of a map between a vector space and a quotient vector space

linear-algebra solution-verification

asked 3 hours ago Abhijeet Vats 376

0

votes

0

answers

7

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Central log ratio transformation

linear-transformations

asked 3 hours ago jojodigi 403

2

votes

0

answers

17

views

How to show that these presheaves are sheaves

algebraic-geometry

modified 3 hours ago Alan Muniz 3,722

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