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Learn more about Teams Explore our questions Ask Question real-analysiscalculuslinear-algebraprobabilityabstract-algebraintegrationsequences-and-seriescombinatoricsgeneral-topologymatrices more tags Interesting 33 Bountied Hot Week Month 0 votes 0 answers 5 viewsShow that sum of products is equal to 0
bb_823- 2,211
Study the sign of $\frac{\partial}{\partial \alpha} \delta^*(\breve{\alpha}(y), y)$
Thoth- 963
The meaning of the formula finding the area of a triangle in coordinates
CiaPan- 13.6k
Vector Subspaces of "Light-Cone"
dennis- 495
$\|ta+(1-t)b\|^2=t\|a\|^2+(1-t)\|b\|^2-t(1-t)\|a-b\|^2$, Is that true?
Anne Bauval- 43.3k
Irreducible Elements and Maximal Ideals
Anuradha N.- 390
Inflection points and inverse functions
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On Shafarevich's proof that $k[\mathbb{P}^n] = k$ for $k$ algebraically closed
zyy- 1,081
Convergence of Mann Iterations
Elias Costa- 14.9k
The Continued Fraction Constant and Infinite Summations
GEdgar- 115k
Let $A$ an Integral Domain and a Valuation Ring of $K=Frac(A)$. Prove that $A$ is an integral closed local ring
Jesus Beza Rios- 23
How many rational solutions does $y^2=x^2+x^4+x^8$ have? [closed]
Captain Lama- 26.9k
Strong convexity inequality
Anne Bauval- 43.3k
If a sum $\sum_{k<x} a_k$ is asymptotically less than $\sum_{k<x} b_k$ , then $\sum_{k<x} (a_k)^n < \sum_{k<x} (b_k)^n $ if the second sum converges.
RicardoMM- 845
Choice of norm and conditions on $G(\theta)$ to ensure bounded eigenvalues in an integral operator
EngineerMathlover- 87
Confusing notation in a partial derivative from a textbook called "A first course in calculus of variations"
Uri Greenberg- 113
Jacobian of a Null Space
Ivan- 57
Linear independence and Schauder basis
Pro_blem_finder- 97
About the proof of MCT in Analysis, Lieb & Loss in section 1.6
s11r40ppp- 21
Orthogonal complement of kernel in a hilbert space
Tapi- 1,735
Is $\tan90°$ undefined or is it positive infinity?
Bulby- 29
Radius of convergence of complex power series
Mathguide- 451
Decompose Z/mnZ
Andyqian7- 35
Upper Bound for the Field of Definition of an Elliptic Surface
Joe Silverman- 2,254
Minimizing the ratio of sum of all possible distances between 4 points and the minimum distance.
Pranay- 2,218
If $X$ is an inner product space, $x,u,v \in X$ and $s \in [0,1]$, prove that $||su+(1-s)v-x||^2 + s(1-s)||u-v||^2 = s||u-x||^2+(1-s)||v-x||^2$.
Anne Bauval- 43.3k
Solving Hamilton’s equations on curved surface
Xiaoyu Zhao- 1
Double Tangent Bundle and Tangent and Normal Components to Acceleration
Jeffrey Rolland- 867
Really simple combinatorics question - Composition of n number strings
CommunityBot- 1
Prove the density of $(X,Y,Z)$ has the form:$q(z)r(z,x)s(z,y)$.Where $X$ and $Y$ are conditionally independent given $\sigma(Z)$
Qo Ao- 127
Character table for non abelian group of order $8$ over $\mathbb C$
shwsq- 436
Countability of Antichain
1324124123- 71
Residue theorem and Cauchy integral formula with fractional powers
Nolord- 2,061
A question on coefficient functional in Banach space with countable Schauder basis
Pro_blem_finder- 97
Hecke operators are multiplicative on Jacobian
Aphelli- 36.1k
Understanding why the number of tic-tac-toe games is not $2^9$.
ECL- 3,190
A strengthening of Vopenka's principle
TiskarnaBrother- 33
Transfinite induction in non-standard logics
TiskarnaBrother- 33
Solving a Laplace Equation mixed boundary problem
Tomas smith Smith- 21
irreducible factors in group determinant
KCd- 50k
Invers map of charst is locally smooth
user1072285- 583
Calculating the angle between a direction and a point
CommunityBot- 1
Approximating characteristic functions by continuous function (without Urysohn's lemma)
Guest- 1,637
The existence of a measure $\mu $ on [0,1] such that $\int pd\mu =\displaystyle\sum_{k=1}^{n}p^{(k)}(k/n)$?
Sangchul Lee- 174k
A hard question about plane geometry
MathNoob- 341
Show $R+Sx+Tx^2 \equiv aR+aSy+aTy^2$ is not possible for $R,S,T$ symmetric functions of $x,y,z$ and $a \ne 1$
John1970- 481
A square matrix $A$ is similar to $A^*$ if and only if $A$ is similar to a real matrix
kipf- 2,523
Modified Maximal Operator
user1097620- 67
can $\max(x_1, x_2, x_3)$ be a constraint in Linear Programming?
Princess Mia- 3,229
I have a question about Hartshorne Chapter2 Lemma 4.5
okabe rintarou- 437
Probabilistic Method to construct a low intersecting family of sets
Yellowyeti- 21
Notation for area and Dirichlet energy in Pinkall and Polthier's paper
lightxbulb- 2,366
Evaluation of $\int_0^{\infty} \frac{e^{-x}\sin(ax)\ln(x)}{x}dx $ where $a > 0$ is a real constant.
Amrut Ayan- 4,957
Sheaf-structure of the functor of small cochain in singular cohomology
Manuel Bonanno- 335
Convex hexagon $|AB|=|AF|=|AD|=|BE|=|CF|=a$, Prove $a$ reaches maximum when six points are on an ellipse.
hbghlyj- 3,459
Generalizing $\int_{0}^1 \ln^n(1-x)\ln^n(1+x)\,dx$
Amrut Ayan- 4,957
A problem on right-ordered groups.
navashree chanania- 41
Morera's Theorem in Several Variables
Felix Benning- 2,565
Does convergence in total variation imply weak convergence $\mu_j \stackrel{\ast}{\rightharpoonup} \mu$?
Rondoudou- 1,346
aprroximate the number of blue elements in a cube by sample the number of blue elements in a row
HeroZhang001- 3,095
Sum of two closed subspaces in a Banach Space
Mr. Gandalf Sauron- 16.1k
Question Related to Poisson's Equation
maffsPro- 1
Show that the Jordan measure is zero
CommunityBot- 1
Stein Shakarchi Fourier Analysis Chapter 8 Exercise 7
Thomas- 7,938
Applying Lie's Theorem in linear algebra
alien2003- 1,164
Parameterization of Kasner exponents
mathemania- 504
Reducing the sunflower problem to the Ramsey problem, best bound?
user1001001- 5,164
Planar graph problem
Сергей Малышев- 111
System of Equations $2x-y+3z+w=6$ and $4x-2y-z+2w=10$
Aemiro tizazu Aemiro- 1
A calculation on the canonical connection/curvature of the tautological bundle of Grassmannian
Ray- 1,360
Question about intersection of two hypersurfaces
Johnny T.- 3,019
$L^1$ norm of Fourier transform of $C_c^\infty$ bounded by $L^\infty$ norm of some derivatives
MikeMichael_maths- 63
Applications of the Petersson trace formula
Gory- 285
Prove that this is a power function
Dr. Richard Klitzing- 5,222
Matsumura's Commutative Ring Theory, Theorem 8.14
Riley- 81
Orthogonal Complement of linear subspace
Vector- 306
Approximation of $2\pi$-periodic r-times continuously differential function by trigonometric polynomials
John- 1
Question about the Riemann-Lebesgue Lemma proof
CommunityBot- 1
Elementary Method for Calculating Ideal Class Group
Martin Brandenburg- 175k
A-lattices for Dedekind domains
Martin Brandenburg- 175k
A function is positive on a set with positive Lebesgue outer measure, the integral is also positive?
Anonymous Apple- 145
Characteristic polynomial equality as corollary of a general identity
Antonio- 122
Is every norm for real matrices extensible to a norm for complex matrices?
user1551- 144k
space of $k$ times continuously differentiable function is dense in sobolev space $W^{k,p}$
Pro_blem_finder- 97
Doubt with isometries and injectivity Radius
A Name- 361
Relationship between scalar and vector valued automorphic forms
YuiTo Cheng- 4,303
Nash Equilibrium in 3+-player games with more than 1 players deviating from it
Greg Martin- 86.6k
Deriving the telegrapher PDE from a run-and-tumble model
Nap D. Lover- 1,155
Uniqueness of Gram Schmidt
copper.hat- 176k
Intersection Points of Sine Functions with Incommensurate Periods
WebbWayne- 67
How to evaluate $\lim_{n\to\infty} \int_0^n\frac{(1-\cos\left( \frac tn\right)) \ln \left( 1+\frac tn\right)}{\left( \frac tn\right)^{3} (1+t^2)} dt$
Paramanand Singh♦- 89.5k
$a_n$ increasing, $\sum\frac{1}{a_n}$ diverges $\implies\exists\ n_1<n_2<n_3,$ such that $\vert (a_{n_3}-a_{n_2})-(a_{n_2}-a_{n_1})\vert<\varepsilon$
Alex Ravsky- 101k
Why doesn't $\sum \frac{\sin(\frac{1}{n})}{\sqrt n}$ diverge?
Gary- 34.1k
How to show that $\sum_{n=1}^{\infty} \frac{1}{(2n+1)(2n+2)(2n+3)}=\ln(2)-1/2$?
Felix Marin- 92k
Embedded Disks in $\mathbb{C}P^2$ with boundary in $\mathbb{C}P^1$
Geometry Fanatic- 63
Riemann Integrals converging to $0$
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