text stringlengths 256 16.4k |
|---|
Abstract
The Lee-Yang circle theorem describes complex polynomials of degree $n$ in $z$ with all their zeros on the unit circle $|z|=1$. These polynomials are obtained by taking $z_1=\dots=z_n=z$ in certain multiaffine polynomials $\Psi(z_1,\dots,z_n)$ which we call Lee-Yang polynomials (they do not vanish when $|z_1|,... |
Reasonable exceptions allowed on $q$. Example solution: $n=2$.
Suppose $q$ is odd. Let $p$ be so $pq\equiv -1$ (mod 8). Then $q\neq$ 2nd power (mod $p$) is the same as $\left(\frac{q}{p}\right)=-1$. We can obtain this from quadratic reciprocity law: $$\left(\frac{q}{p}\right)\left(\frac{p}{q}\right)\equiv(-1)^{\frac{p-... |
First consider the single torus, represented as the square with opposite edges identified, call the edges $a$ and $b$. $U$ is the torus with a single point removed, this retracts to just the borders of the square, so it is the union of two copies of $S^1$ and it has fundamental group $<a, b>$, the free group in two ele... |
Assuming that the procedure described in the body of the question actually does define a coordinate patch (I haven't checked, but it seems quite plausible so I'll accept its validity), then, as far as finding the geodesic equations is concerned, we are reduced to the simple question of finding them for a metric of the ... |
Since I posed the question in comment, here is how to treat the friction case, and of course at the end it reduces to the expected friction free result.
Assume the applied force has components $f_x$ parallel (up) the plane and a normal component $f_y$ downward into the plane:
The normal force between block and plane is... |
Is the following provable and how? I feel like I am missing some proof technique or strong theorems, I'd be grateful for any pointer.
Let $(I, \leq)$ be an upwards-directed poset. Define an $f: I \to \{a,b\}$ such that $f$ is
noteventually constant.
Upwards-directed ("every path can be recombined"): $\forall i_1, i_2 \... |
Serre's finiteness theorem says if $n$ is an odd integer, then $\pi_{2n+1}(S^{n + 1})$ is the direct sum of $\mathbb{Z}$ and a finite group. By looking at the table of homotopy groups, say on Wikipedia, one empirically observes that if $n \equiv 3 \pmod 4$, then we in fact have $$ \pi_{2n+1}(S^{n+1}) \cong \mathbb{Z} \... |
Your hovercraft device has a mass of 2.25 kg and at max power can travel a speed of 0.2 m/s. You also learn that the target distance is 180 cm and you are trying to get there in 15 seconds.
How many rolls of pennies should you place on the hovercraft in order to get as close to 15 seconds as possible?
Assuming there is... |
Newform invariants
Coefficients of the \(q\)-expansion are expressed in terms of a basis \(1,\beta_1,\beta_2,\beta_3,\beta_4\) for the coefficient ring described below. We also show the integral \(q\)-expansion of the trace form.
Basis of coefficient ring in terms of a root \(\nu\) of \(x^{5}\mathstrut -\mathstrut \) \... |
It's hard to say just from the sheet music; not having an actual keyboard here. The first line seems difficult, I would guess that second and third are playable. But you would have to ask somebody more experienced.
Having a few experienced users here, do you think that limsup could be an useful tag? I think there are a... |
Reading through Titchmarsh's book on the Riemann zeta function, chapter 3 discusses the Prime Number Theorem. One way to prove this result is to check the zeta function has no zeros on the line $z = 1 + it,$
$$ \zeta(1 + it) \neq 0$$
Indeed the book has $3$ or $4$ proofs of this result. Actually connecting it to the pr... |
Search
Now showing items 1-1 of 1
Anisotropic flow of inclusive and identified particles in Pb–Pb collisions at $\sqrt{{s}_{NN}}=$ 5.02 TeV with ALICE
(Elsevier, 2017-11)
Anisotropic flow measurements constrain the shear $(\eta/s)$ and bulk ($\zeta/s$) viscosity of the quark-gluon plasma created in heavy-ion collisions... |
Navigating
The most natural way of navigating is by clicking wiki links that connect one page with another. The “Front page” link in the navigation bar will always take you to the Front Page of the wiki. The “All pages” link will take you to a list of all pages on the wiki (organized into folders if directories are use... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
Why magic and physics cannot coexist peacefully? After reading many physics and math stuff, I think that the problem maybe come from the principle of least action. So, I edited the definition of action, in order to make magic and physics coexist peacefully.
Definition of action in my world: $$ S=\int_{t_1}^{t_2} L(\mat... |
This post describes some discriminative machine learning algorithms.
Distribution of Y given X
Algorithm to predict Y
Normal distribution
Linear regression
Bernoulli distribution
Logistic regression
Multinomial distribution
Multinomial logistic regression (Softmax regression)
Exponential family distribution
Generalized... |
I need to show that the leading order inner solution is given by the below. Thus far, I have rescaled and showed the boundary layer is of order $\epsilon^{\frac{3}{4}}$. Hence at leading order I then try to solve the second order ode $Y_0''(X) + X^{2}Y_0'(X)=0$ but don't get the result. Please help
Here is what I did, ... |
Let $X_1,\cdots,X_n$ be mutually independent and identical distributed exponential random variables. Let $M = \max(X_1, \cdots, X_n)$. Find $P\left( X_1 + \cdots + X_n < 2M\right)$.
I have the following. First, we can do
\begin{align} P\left( X_1 + \cdots + X_n < 2 M \right) = 1 - P\left( X_1 + \cdots + X_n > 2M\right)... |
Summary
The main idea behind the "cuboverse" is that spacetime distances are measured by (something close to) the sup norm or infinity norm. Under this norm, spheres (the set of points at a fixed distance from an origin) are the same as cubes, hence the name.
Other features that I have been able to derive from this are... |
Search
Now showing items 1-10 of 32
The ALICE Transition Radiation Detector: Construction, operation, and performance
(Elsevier, 2018-02)
The Transition Radiation Detector (TRD) was designed and built to enhance the capabilities of the ALICE detector at the Large Hadron Collider (LHC). While aimed at providing electron... |
I think that the question is sufficiently precise if we think at a
realistic meaning of the word “inconsistent”. Also nowadays, for non logicians the adjective “inconsistent” doesn't really mean “free of contradictions” (this is only the obvious meaning given by modern Mathematical Logic), but rather it means not accep... |
A few days ago I found myself in the midst of an interesting knapsack problem. I was preparing for an endurance race and I wanted to minimize the weight of the gear I needed to carry during the race. I was concerned with weight because I was running The Death March, a classic test-piece among endurance athletes that we... |
Search
Now showing items 1-9 of 9
Production of $K*(892)^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$ =7 TeV
(Springer, 2012-10)
The production of K*(892)$^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$=7 TeV was measured by the ALICE experiment at the LHC. The yields and the transverse momentum spectra $d^2 ... |
Search
Now showing items 1-2 of 2
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
Search
Now showing items 1-1 of 1
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
Search
Now showing items 1-1 of 1
Anisotropic flow of inclusive and identified particles in Pb–Pb collisions at $\sqrt{{s}_{NN}}=$ 5.02 TeV with ALICE
(Elsevier, 2017-11)
Anisotropic flow measurements constrain the shear $(\eta/s)$ and bulk ($\zeta/s$) viscosity of the quark-gluon plasma created in heavy-ion collisions... |
I am currently trying to understand Euler's article E71 on the Riccati differential equation and its connection with continued fractions. Apparently Daniel Bernoulli had shown that the equation $$ y' + ay^2 = bx^\alpha $$ can be solved by elementary functions if $\alpha = -2$ or $\alpha = - \frac{4n}{2n-1}$ for integer... |
X
Search Filters
Format
Subjects
Library Location
Language
Publication Date
Click on a bar to filter by decade
Slide to change publication date range
1. Evidence for a Narrow Near-Threshold Structure in the J/psi phi Mass Spectrum in B+ -> J/psi phi K+ Decays
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 06/2009, Volume 102... |
X
Search Filters
Format
Subjects
Library Location
Language
Publication Date
Click on a bar to filter by decade
Slide to change publication date range
European Physical Journal C, ISSN 1434-6044, 2011, Volume 71, Issue 5, pp. 1 - 17
The production of J/ψ mesons in proton–proton collisions at √s = 7 TeV is studied with t... |
The orthogonal group, consisting of all proper and improper rotations, is generated by reflections. Every proper rotation is the composition of two reflections, a special case of the Cartan–Dieudonné theorem.
Yeah it does seem unreasonable to expect a finite presentation
Let (V, b) be an n-dimensional, non-degenerate s... |
In the spirit of the classic
four fours, I wonder what's the optimal set of four numbers?
Your goal is to make the most consecutive integers using four digits of your choice. Pick four: $0,1,2,3,4,5,6,7,8,9$ ( You can pick multiple instances of the same digit )
When constructing an integer:
all of your four candidates ... |
Sampling from a maximal coupling of 2 univariate Gaussians will give you a bivariate distribution which is not bivariate Gaussian. A bivariate Gaussian can be parameterized with a correlation parameter $\rho$. I assume that the maximal coupling distribution will have a larger correlation than the bivariate Gaussian but... |
ISSN: 1612-1112
Keywords: Liquid chromatography ; Reversed-phase capacity factors ; Cavity term ; Characteristic volumes
Source: Springer Online Journal Archives 1860-2000
Topics: Chemistry and Pharmacology
Notes: Summary In the correlation of reversed-phase liquid chromatography capacity factors through the equation, ... |
t-test & Welch-test [Power / Sample Size]
Hi Rocco,
» Where does the formula on slide 10.83 in bebac.at/lectures/Leuven2013WS2.pdf for CI for parallel design come from? I cannot seem to find reference anywhere. Honestly, I don’t remember Algebra:$$s\sqrt{\tfrac{n_1+n_2}{n_1n_2}}=\sqrt{s^2(1/n_1+1/n_2)}\;\tiny{\square}$... |
By my understanding, the Mach Number at a given altitude is calculated by dividing IAS by the speed of sound at that altitude. So how is this speed of sound calculated to display the Mach Number on the Mach Meter? Does the Mach Meter share the same pitot tube used to calculate airspeed?
Most modern jets use an Air Data... |
Fatigue criteria Fatigue is a progressive structural damage of materials under cyclic loads. Most of engineering failures are caused by Fatigue that is why it is very important to perform a Fatigue Check. SDC Verifier implement two methods of Fatigue Check: the stress difference method the stress difference method with... |
Hello there! My first series of posts will be about math; or, to be clearer, about dot product. Since I've started developing games, every once in a while I would need to solve a spatial problem. For my unhappiness, the solution usually involved math. As many other programmers in the world, I'm not really fond of calcu... |
Welcome to The Riddler. Every week, I offer up problems related to the things we hold dear around here: math, logic and probability. These problems, puzzles and riddles come from many top-notch puzzle folks around the world — including you! There are two types: Riddler Express for those of you who want something bite-s... |
paper reading
主要原理：
the Hierarchical Attention Network (HAN) that is designed to capture two basic insights about document structure. First, since
documents have a hierarchical structure (words form sentences, sentences form a document), we likewise construct a document representation by first building representations ... |
In the particle exchange picture, the particles are emitted in all directions and only the ones going from P in the direction of E that hit E are intercepted and have an effect. The other particles interfere themselves out of existence, as there is no on-shell state they can enter while conserving energy, or else retur... |
KöMaL Problems in Mathematics, February 2017 Please read the rules of the competition.
Show/hide problems of signs:
Problems with sign 'K' K. 535. Is it possible to arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 in the star pentagon in the figure, so that the sum of the numbers is the same along each line of four... |
Education is a difficult task, it really is. Teaching takes a few tries to get the hang of. Writing textbooks is even harder. And math is one of those technical fields in which human error is hard to avoid. So usually, when I see a mistake in a math text, it doesn’t bother me much.
But some things just hurt my soul.
No... |
Let $f(z) = \sum_{n=1}^\infty a(n) e^{2i \pi nz}$ be an eigenform of $S_k(\Gamma_0(N))$. Since the Hecke operator acts by $T_p f = a_p f$ the Riemann hypothesis for $f$'s L-function is $$ \!\!\! \!\!\! \!\!\! \!\!\!(\sum_{n=1}^\infty a_n n^{-s})^{-1} =\prod_p (1-a(p) p^{-s}+p^{k-1-2s}) =\frac{\displaystyle[\prod_p (1-T... |
18th SSC CGL Tier II level Question Set, topic Trigonometry 4, questions with answers
This is the 18th question set for the 10 practice problem exercise for SSC CGL Tier II exam and 4th on topic Trigonometry. Some of these 10 questions may seem to be a bit more difficult.
We repeat the method of taking the test. It is ... |
L2正则化的数学原理
L2正则化：
To avoid parameters from exploding or becoming highly correlated, it is helpful to augment our cost function with
a Gaussian prior: this tends to push parameter weights closer to zero, without constraining their direction, and often leads to classifiers with better generalization ability.
If we maximi... |
Superfluids passing an obstacle and vortex nucleation
1.
Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY. 10012, USA
2.
Department of Mathematics, University of British Columbia, Vancouver BC V6T 1Z2, Canada
$ \epsilon^2 \Delta u+ u(1-|u|^2) = 0 \ \mbox{in} \ {\mathbb R}^d \backslash \Omega,... |
Revista Matemática Iberoamericana
Full-Text PDF (251 KB) | Metadata | Table of Contents | RMI summary
Volume 30, Issue 4, 2014, pp. 1265–1280 DOI: 10.4171/RMI/814
Published online: 2014-12-15
A sharp multiplier theorem for Grushin operators in arbitrary dimensionsAlessio Martini
[1]and Detlef Müller [2](1) University o... |
Definition:Expectation/Continuous Definition
Let $F = \Pr \paren {X < x}$ be the cumulative probability function of $X$.
The expectation of $X$ is written $\expect X$, and is defined over the probability measure as: $\expect X := \displaystyle \int_{x \mathop \in \Omega} x \rd F$ $\displaystyle \int_{x \mathop \in \Ome... |
* Lecture Notes *
KAIST undergraduate student, Haesong Seo, wrote a fairly complete lecture notes of all lectures given at this year's topology summer school.
One can download the note from the following link [download].
KAIST Advanced Institute for Science-X (KAIX) hosts its first thematic program this summer. As a pa... |
As explained in the book "Spinors in Hilbert Space" by Plymen and Robinson, if $V$ is a complex (separable) Hilbert space with a real structure, and $\mathrm{Cl}(V)$ the corresponding Clifford algebra, there is a unique completion $\mathrm{Cl}[V]$ of this algebra to a $C^*$-algebra: Any $*$-representation of $\mathrm{C... |
I would like to automatically replace the align environment by an equation + aligned combination. Specifically, whenever
\begin{align} occurs, it should automatically read it as
\begin{equation}\begin{aligned}. Similarly,
\end{align} should be replaced by
\end{aligned}\end{equation}. Occurrences of
\nonumber also need ... |
Revista Matemática Iberoamericana
Full-Text PDF (587 KB) | Metadata | Table of Contents | RMI summary
Volume 30, Issue 4, 2014, pp. 1301–1354 DOI: 10.4171/RMI/816
Published online: 2014-12-15
Linear multifractional stable motion: fine path propertiesAntoine Ayache
[1]and Julien Hamonier (1) Université Lille 1, Villeneu... |
Dimensionality reduction is used to remove irrelevant and redundant features.
When the number of features in a dataset is bigger than the number of examples, then the probability density function of the dataset becomes difficult to calculate.
For example, if we model a dataset \(S = \{x^{(i)}\}_{i=1}^m,\ x \in R^{n}\) ... |
This is an elaboration on wl's comment, which proves that there is no strategy which
guarantees success in any number of rounds, because no matter what strategy the prisoners use, there is at least one ordering which will cause no one to be eliminated in the first round.
The only information a prisoner has is what the ... |
When I calculate the variance by hand I get something different than Rstudio.
They guy in the video however, did calculate it as I did, wrong. Why is that?
My calculations:
Observations $=1,2,3,4,5,6,7,8,9$
Calculation by hand: $$E[X] = \frac{1}{n}*\sum^n_1 x_i = \frac{45}{9} = 5 \\\text{or}\\ E[X] = \sum x_i *\frac{1}... |
Functiones et Approximatio Commentarii Mathematici Funct. Approx. Comment. Math. Volume 44, Number 2 (2011), 307-315. On asymptotics of entropy of a class of analytic functions Abstract
Let $(K,D)$ be a compact subset of an open set $D$ on a Stein manifold $\Omega$ of dimension $n$, $H^\infty(D)$ the Banach space of al... |
Questions regarding easy-to-compute, but hard-to-invert functions.
Informally, a function is called one-way if it is easy to compute, but hard to invert. These definitions are formally captured as follows: function $f \colon \{0,1\}^* \to \{0,1\}^*$ is called
one-way if it has the following properties: Easy to compute:... |
56th SSC CGL level Question Set, topic Trigonometry 5
This is the 56th question set for the 10 practice problem exercise for SSC CGL exam and 5th on topic Trigonometry.
We repeat the method of taking the test. It is an important
to follow Test preparation method even in practice testenvironment as metrics or performanc... |
No, the RSA key size is not the size of the private key exponent. It is customarily the number of bits in the public modulus (which is known as $N$). In other words, the key size is the integer $k$ such that $2^{k-1}\le N<2^k$.
In most implementations (and all implementations conforming to PKCS#1), a private exponent $... |
In the code below, I am only getting a box around part of my equation like this:
How do I get the box to appear around the full equation? Thanks!
CODE
\documentclass{article}\usepackage{mathtools}\usepackage{unicode-math}\begin{document}\fbox{$ \zeta\nearrow \underset {\mathrlap{\displaystyle\Searrow\text{ overshoot}\s... |
(15C) Multiple Linear Regression for HP-15C
01-26-2014, 02:16 PM (This post was last modified: 06-15-2017 01:30 PM by Gene.)
Post: #1
(15C) Multiple Linear Regression for HP-15C
To perform the regression of the following linear model:
Y = a + bX + cZ
We transform it into the following equations:
(Y-Ymean)/(X-Xmean) = b... |
Search
Now showing items 1-1 of 1
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
Dennis Soemers' answer is correct: you should use a HashSet or a similar structure to keep track of visited states in BFS Graph Search.However, it doesn't quite answer your question. You're right, that in the worst case, BFS will then require you to store 16! nodes. Even though the insertion and check times in the set ... |
I would like to put code from an outside file into a LaTeX document. This code is able to run on its own. Equation labels from the document are referenced in the comments of this code. I would like to see these equations updated and referenced in the final document, with a caption, label, in a box, numbered lines, etc.... |
Inverse in Group is Unique/Proof 2
Jump to navigation Jump to search
Theorem
Let $\struct {G, \circ}$ be a group.
$\forall x \in G: \exists_1 x^{-1} \in G: x \circ x^{-1} = e^{-1} = x \circ x$
where $e$ is the identity element of $\struct {G, \circ}$.
Proof Suppose that: $\exists b, c \in G: a \circ b = e, a \circ c = ... |
I was trying some fonts from this post which-opentype-math-fonts-are-available
I downloaded and installed STIX two
From http://stixfonts.org/ and have been using it for few days. It looks really nice. Except sometimes some of math letters in fractions hit each others.
Compare this image (will show MWE below), comparing... |
Solvers General orthogonal coordinates Data processing Output functions Input functions Interactive Basilisk View Miscellaneous functions/modules Tracking floating-point exceptions See also Solvers
\displaystyle \partial_t \int_{\Omega} \mathbf{q} d \Omega = \int_{\partial \Omega} \mathbf{f} ( \mathbf{q}) \cdot \mathbf... |
Elham Esfehani
Requirements for this tutorial
This is an advanced tutorial that needs the basics explained in other sections of this learning trail. The following should have been worked through or prepared before this tutorial is started:
Notations and Variables – Superscripts, Subscripts,Indicesshould have been worke... |
Definition:Polynomial Ring Contents 1 One Indeterminate 2 Multiple Indeterminates 3 Terminology 4 Notation 5 Equivalence of definitions 6 Also defined as 7 Also known as 8 Also see One Indeterminate
Let $R$ be a commutative ring with unity.
$S$ is a commutative ring with unity $\iota : R \to S$ is a unital ring homomor... |
My colleague David Harden recently pointed me to Molien’s theorem, a neat little fact about the invariant polynomials under the action by a finite group. It turns out that this has a nice interpretation in the case of the symmetric group $S_n$ that brings in some nice combinatorial and group-theoretic arguments.
The ge... |
Is there a topology $\tau$ on $\omega$ such that $(\omega,\tau)$ is Hausdorff and path-connected?
No, a path-connected Hausdorff space is arc-connected, whence it would be of (at least) continuum cardinality provided it has more than one point. This follows from a more general (and deep) result that a Peano space (a co... |
78 0
Hello,
What
One-particle quantum states seem to be fairly well understood. The state of the system is a function [itex] \psi: \mathbb{R}^3 \rightarrow \mathbb{C} [/itex], and [tex]|\psi(x)|^2[/tex] gives the probability density of finding the particle near the space point x. Let's denote by [itex] \Omega_1 [/itex]... |
How are the layers in a encoder connected across the network for normal encoders and auto-encoders? In general, what is the difference between encoders and auto-encoders?
To answer this rather succinctly, an encoder is a function mapping some input to some different space. An example of this is what the brain does. We ... |
Endorsing Szabolcs' excellent $MaTeX$ package as a way to manage $\LaTeX$ in $Mathematica$ but with an addition that for me at least has removed the significant irritant of having to escape backslashes in strings.
For example, given some previous $\LaTeX$
"\tilde{x}=\begin{cases}
(\frac{n+1}{2}) \text{th term} & \text{... |
There is a reason I’ve been building up the theory of symmetric functions in the last few posts, one gemstone at a time: all this theory is needed for the proof of the beautiful Murnaghan-Nakayama rule for computing the characters of the symmetric group.
What do symmetric functions have to do with representation theory... |
The ratio is the same for all aeroplanes if you accept a number of assumptions:
The propulsion efficiency is constant, regardless of speed or power setting Aerodynamic drag is the sum of parasite drag and induced drag Parasite drag is proportional to the square of airspeed:$ D_p = k_p \cdot V^2$ Induced drag is inverse... |
There is a reason I’ve been building up the theory of symmetric functions in the last few posts, one gemstone at a time: all this theory is needed for the proof of the beautiful Murnaghan-Nakayama rule for computing the characters of the symmetric group.
What do symmetric functions have to do with representation theory... |
This is not actually a research question. It is more an exercise which I posed myself in mathematical/statistical modelling. I have some Whatsapp data of a chat with someone. I want to find a mathematical model to describe the data. I have manually cut the chat into meaningful conversation pieces. So far I have the fol... |
What is Area & Perimeter of Rhombus?
A quadrilateral with four congruent sides is a rhombus or diamond (see the picture below). In some literature it is named equilateral quadrilateral, since all of its sides are equal in length.That means,
if ${\overline{AB}}\cong{\overline{BC}}\cong{\overline{CD}}\cong{\overline{DA}}... |
Introduction:
If you consider the above scribbles of Évariste Galois, who developed Galois theory, you will note that some of the scribbles appear random. Yet, upon closer inspection none of the scribbles are completely random. Many of the scribbles are rather smooth which would be improbable if the trajectories were g... |
Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data
1.
Dipartimento di Costruzioni e Metodi Matematici in Architettura, Universitá di Napoli "Federico II", via Monteoliveto, 3, I-80134 Napoli, Italy
2.
Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Universitá... |
I came across John Duffield Quantum Computing SE via this hot question. I was curious to see an account with 1 reputation and a question with hundreds of upvotes.It turned out that the reason why he has so little reputation despite a massively popular question is that he was suspended.May I ...
@Nelimee Do we need to m... |
Week 6 = 4 days for dimensionality reduction and recommender systems. It was also sandwiched between 4th of July (holiday) and our week-long break. I think most of us were not in the strongest mindset or focus for matrix algebra, so it's good for me to do some recapping.
Dimensionality Reduction
In machine learning, ou... |
Let $ G,H $ are simple finite graphs and $A = G \times H$. Here $ G \times H $ is the tensor product (also called the direct or categorical product) of $ G $ and $ H $.
Let $G$ has smaller chromatic number. Experiments suggest that given a coloring $f$ of $G$ one can color $A = G \times H$. Color the vertices $(a,b)$ o... |
For any spherical body with a density $\rho$ and radius $R$ and no atmosphere, we can calculate this easily. Let's assume you launch to a very low orbit that just skims the surface of the sphere. You can add 10% or 20% later for a planet like Earth with its atmosphere. Venus would be a lot harder! (so I've asked separa... |
As noted in the comments, the question has a positive answer for tame Artin stacks (see e.g. [Ols12, Prop 6.1]) and also for non-tame Deligne–Mumford stacks (see [KV04, Lem. 2]). It is however also true in general. Throughout, let $\mathscr{X}$ be an algebraic stack with finite inertia and let $\pi\colon \mathscr{X}\to... |
Mini Series: Designing a Satellite for Dummies
Are you an aspiring aerospace engineer, a space enthusiast, a parent checking your child’s homework or simply interested in the specifics of how to design certain satellite parts? Then this is the place to be.
In this mini series we will go through the basics of designing ... |
8 results authored by Jeanne Parmentier - search across all users.
This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.
Exam (9 questions) Draft
CC BY Published
Last modified 07/09/2018 13:15
No subjects selected No topics selected
No ability le... |
A few simple steps to the solution
At high school level often we find that math problems are solved in a long series of steps. This is what we call
. conventional approach to solving problems
This approach not only involves
a large number of steps, in most cases, the steps themselves introduce a higher level of complex... |
(Sorry was asleep at that time but forgot to log out, hence the apparent lack of response)
Yes you can (since $k=\frac{2\pi}{\lambda}$). To convert from path difference to phase difference, divide by k, see this PSE for details http://physics.stackexchange.com/questions/75882/what-is-the-difference-between-phase-differ... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
A typical nonlinear FE problem can be given by:
\begin{equation} \mathbf{R} = \mathbf{K}\rho + \mathbf{F}_{NL}(\rho), \end{equation}
where R is the vector of applied forces, K is the material or linear stiffness matrix, $F_{NL}$ is the nonlinear force function and $\rho$ is the vector of displacements.
The tangent stif... |
Event detail Student Probability/PDE Seminar: Metastability of the Zero Range Process on a Finite Set Without Capacity Estimates
Seminar | April 6 | 2:10-3:30 p.m. | 891 Evans Hall
Chanwoo Oh, UC Berkeley
In this talk, I'll prove metastability of the zero range process on a finite set without using capacity estimates. ... |
This is a contributed gemstone, written by Sushant Vijayan. Enjoy!
Consider a generic cubic equation $$at^3+bt^2+ct+d=0,$$ where $a,b,c,d$ are real numbers and $a \neq 0$. Now we can transform this equation into a
depressed cubic equation, i.e., one with no $t^2$ term, through means of Tschirnhaus Transformation $t=x-\... |
Difference between revisions of "Talk:Fujimura's problem"
(→General n)
(→General n)
Line 37: Line 37:
A lower bound of 2(n-1)(n-2) can be obtained by keeping all points with exactly one coordinate equal to zero.
A lower bound of 2(n-1)(n-2) can be obtained by keeping all points with exactly one coordinate equal to zero... |
This article will be permanently flagged as inappropriate and made unaccessible to everyone.
Are you certain this article is inappropriate?
Excessive Violence
Sexual Content
Political / Social
Email Address:
Article Id:
WHEBN0000010390
Reproduction Date:
Econometrics is the application of mathematics, statistical metho... |
By Joannes Vermorel, January 2018
The cross-entropy is a metric that can be used to reflect the accuracy of probabilistic forecasts. The cross-entropy has strong ties with the maximum likelihood estimation. Cross-entropy is of primary importance to modern forecasting systems, because if it is instrumental in making pos... |
Difference between revisions of "Kakeya problem"
(→General lower bounds)
Line 22: Line 22:
(I actually can improve the lower bound to something like <math>k_r\gg 3^{0.51r}</math>.)
(I actually can improve the lower bound to something like <math>k_r\gg 3^{0.51r}</math>.)
−
For instance, we can use the "bush" argument. T... |
I'm a novice to homotopical algebra, but I've found myself confronted with it by necessity and have some basic questions...
I'm going to consider chain complexes over a field $F := \mathbb{F}_2$. Given a chain complex $C$, I'm interested in two operations:
the ``homotopy Sym'', where I form $(C \otimes C \otimes E (\ma... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.