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I want to simplify the following expression:
{1/Sqrt[2], 1/Sqrt[2]}
How can I get the factor
1/Sqrt[2] in front of the parenthesis like:
1/Sqrt[2] {1, 1}
??
Mathematica Stack Exchange is a question and answer site for users of Wolfram Mathematica. It only takes a minute to sign up.Sign up to join this community
I want ... |
Bases of a Topology Examples 2
Recall from the Bases of a Topology page that if $(X, \tau)$ is a topological space then a base for the topology $\tau$ is a collection $\mathcal B \subseteq \tau$ such that every $U \in \tau$ can be written as a union of elements from $\mathcal B$, i.e., for all $U \in \tau$ we have that... |
The function $f:\mathbb Q\setminus \{0\}\to \mathbb R$ defined by $f(q)=q$ is continuous at each rational number $q\neq 0$, takes positive and negative values, but is never $0$. The intermediate value theorem is valid for functions $f: I\subset \mathbb R\to\mathbb R$, where $I$ is a closed interval (i.e connected set i... |
Find the limit $$\lim_{n \rightarrow \infty} \int _0^n (1 - \frac{x}{n})^n \log (2 + \cos(\frac{x}{n})) dx$$ and justify the answer.
I think that the Dominated Convergence Theorem can be applied to this problem.
Since $$\int _0^n (1 - \frac{x}{n})^n \log (2 + \cos(\frac{x}{n})) dx = \int _0^\infty (1 - \frac{x}{n})^n \... |
I am trying to read bits and pieces of Ingo Blechschmidt's notes on using the internal language of toposes in algebraic geometry.
I have not studied the internal language. I only have a bare bones idea of what it is through these and some other notes. I have also never studied logic. My question is about the last two l... |
I was looking at the Draper & Smith's 'Applied Regression Analysis', as did the person who asked:this other question on CrossValidated
In short - the variance-covariance matrix of the residuals in regression is given by $(I - H)\sigma^2$, where $H$ is the 'Hat Matrix'. So in general we must assume the residuals are not... |
A. Enayat, J. D. Hamkins, and B. Wcisło, “Topological models of arithmetic,” ArXiv e-prints, 2018. (under review)
@ARTICLE{EnayatHamkinsWcislo2018:Topological-models-of-arithmetic, author = {Ali Enayat and Joel David Hamkins and Bartosz Wcisło}, title = {Topological models of arithmetic}, journal = {ArXiv e-prints}, ye... |
We are very familiar with
real valued functions, that is, functions whose output is a real number. This section introduces vector-valued functions - functions whose output is a vector.
Definition \(\PageIndex{1}\): Vector-Valued Functions
A
vector-valued function is a function of the form
\[\vecs r(t) = \langle\, f(t),... |
In an oral exam for physical organic chemistry, one student was asked to explain the differences in the ionization potential ($IP$) of syn and anti tricyclo[$4.2.0.0^{2,5}$]octa-3,7-diene (unsaturated 3-ladderane, see Figure).
Apparently, the $IP$s were as follows:
$IP_{1,syn}=9.04$
$IP_{2,syn}=9.38$
$\Delta IP_{syn}=0... |
Eigenfunctions in quantum well
Introduction
In that example we investigate a AlGaAs/GaAs quantum well in quantum mechanical point of view. The simulation involves band profile calculation in the hetero-structure, and compare its influence with different QM solvers.
Band-structure calculation
The growth direction of the... |
Construction of formula in Sagemath program
Let $P_k:= \mathbb{F}_2[x_1,x_2,\ldots ,x_k]$ be the polynomial algebra in $k$ variables with the degree of each $x_i$ being $1,$ regarded as a module over the mod-$2$ Steenrod algebra $\mathcal{A}.$ Here $\mathcal{A} = \langle Sq^{2^m}\,\,|\,\,m\geq 0\rangle.$
Being the coho... |
Let $A\in\mathbb{C}^{m\times n}$, then a generalized inverse matrix $B$ of $A$ satisfies the following $$ABA = A \ \text{and} \ BAB = B.$$
I am to show that $B$ is unique if $A$ is square and invertible. I also want to know if my approach is correct.
From the first criterion, we get $B=A^{-1}$. My first question is the... |
Here when I was studying almost integers , I made the following conjecture -
Let $x$ be a natural number then For sufficiently large $n$ (Natural number) Let $$\Omega=(\sqrt x+\lfloor \sqrt x \rfloor)^n$$ then $\Omega$ is an almost integer . The value of $n$ depends upon the difference between the number $x$ and its ne... |
Vector Spaces Review
Vector Spaces Review
We will now summarize some of the material mentioned on earlier pages regarding vector spaces.
Recall that a Vector Spaceover the field $\mathbb{F}$ is a nonempty setwith two operations of addition and scalar multiplication using the scalars from $\mathbb{F}$. If $V$ is a vecto... |
Can someone explain to me how this equals? I'm taking a calculus III course at the moment, and I'm doing Taylor and Maclaurin series at the moment, and this is the last step of a problem, but i don't see how this equals each other (probably because I've never dealt with a sum times sum problem before or I can't recall ... |
Type of Publication: Working Paper/Technical Report URI (citable link): http://nbn-resolving.de/urn:nbn:de:bsz:352-0-264314 Author: Racke, Reinhard; Yoshikawa, Shuji Year of publication: 2014 Series: Konstanzer Schriften in Mathematik ; 334 Summary:
We study the Cauchy problem of the Ball model for an extensible beam: ... |
Table of Contents
Pairs of Complex Roots for Polynomials with Real Coefficients
Suppose that $p(x) = a_0 + a_1x + ... + a_mx^m$ is a polynomial with real coefficients $a_0, a_1, ..., a_m \in \mathbb{R}$. Recall that the complex conjugate of a complex number $z = a + bi = \Re (z) + \Im (z) i$ is denoted by $\bar{z}$ and... |
1) Feynmann-Kac and Girsanov
First you should remember that the process $X$ is independent of the measure you are considering.
Now let's consider a change of measure from ${\mathbb{P}}$ to ${\mathbb{Q}}$. Let us assume $\mathbb{E}_t^{\mathbb{P}}[\tfrac{d{\mathbb{Q}}}{d{\mathbb{P}}}] = e^{\theta W_t^P - \frac{1}{2}\thet... |
Calculating the size of a set by observing the proportionality change of its disjoint subsets Background
Instagram provides a polling feature, which allows the user to ask a question with two answers to the audiences. Once an audience pick one of the two answers, the percentage of users who pick each answer is displaye... |
Basic Theorems Regarding Ambient Isotopies
Recall from the Ambient Isotopic Embeddings on Topological Spaces page that if $X$ and $Y$ are topological spaces and $f : X \to Y$ and $g : X \to Y$ are embeddings, then $f$ is said to be ambient isotopic to $g$ within $Y$ if there exists a continuous function $H : Y \times I... |
Let $P_k:= \mathbb{F}_2[x_1,x_2,\ldots ,x_k]$ be the polynomial algebra in $k$ variables with the degree of each $x_i$ being $1,$ regarded as a module over the mod-$2$ Steenrod algebra $\mathcal{A}.$ Here $\mathcal{A} = \langle Sq^{2^m}\,\,|\,\,m\geq 0\rangle.$
Being the cohomology of a space, $P_k$ is a module over th... |
I was wondering if the following holds:
If you have an ODE $$-y''(x) + q(x) y(x) = \lambda y(x)$$ on a finite interval $(a,b)$ and you know that this equation is limit-circle or limit-point at the end-points.
If you now add a nice smooth + bounded -potential $V \in C^{\infty}(\mathbb{R})$ to your current potential, so ... |
Critical exponents are properties of the RG fixed point that drives the phase transition. They are computed by linearising the RG flow equations close to the fixed point. The exponents are the derivatives of the beta functions evaluated
at the fixed point. They know nothing of the way you approach the fixed point. In p... |
Advances in Differential Equations Adv. Differential Equations Volume 9, Number 3-4 (2004), 241-265. Conditional and unconditional well-posedness for nonlinear evolution equations Abstract
Attention is given to the question of well-posedness in Hadamard's classical sense for nonlinear evolution equations of the form \b... |
Newform invariants
Coefficients of the \(q\)-expansion are expressed in terms of a basis \(1,\beta_1,\beta_2,\beta_3\) 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 \(x^{4}\mathstrut -\mathstrut \) \(x^{3}\m... |
I recently gave a tutorial at CMU about spectral learning for NLP. This tutorial was based on a tutorial I had given last year with Michael Collins, Dean Foster, Karl Stratos and Lyle Ungar at NAACL.
One of the algorithms I explained there was the spectral learning algorithm for HMMs by Hsu, Kakade and Zhang (2009). Th... |
Fractions and Decimals
Category : 6th Class
FRACTIONS AND DECIMALS
FUNDAMENTALS
Natural numbers: All counting numbers are called natural numbers.
Whole number: Natural numbers together with zero are called whole numbers.
or
A number written in the form \[\frac{x}{y},\] where \[x\] and \[y\] are whole numbers and \[y\ne... |
Given real numbers $x_1<x_2<\cdots<x_n$, define the Vandermonde matrix by $V=(V_{ij}) = (x^j_i)$. That is, $$V = \left(\begin{array}{cccccc} 1 & x_1 & x^2_1 & \cdots & x^{n-1}_1 & x^n_1 \\ 1 & x_2 & x^2_2 & \cdots & x^{n-1}_2 & x^n_2 \\ \vdots & \vdots & \vdots & & \vdots & \vdots \\ 1 & x_{n-1}& x^2_{n-1} & \cdots & x... |
2019-09-27 09:59
Higgs boson pair production at colliders: status and perspectives / Di Micco, Biagio (Universita e INFN Roma Tre (IT)) ; Gouzevitch, Maxime (Centre National de la Recherche Scientifique (FR)) ; Mazzitelli, Javier (University of Zurich) ; Vernieri, Caterina (SLAC National Accelerator Laboratory (US)) ; ... |
What is the magnetic field due to current carrying wire at a point on the wire itself?
closed as unclear what you're asking by Chris♦, John Duffield, Jon Custer, sammy gerbil, M. Enns Mar 21 '18 at 20:20
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently... |
Problem with understanding the proof of Sauer Lemma
I will replicate the proof here which is from the book "Learning from Data"
Sauer Lemma:
$B(N,K) \leq \sum_{i=0}^{k-1}{n\choose i}$
Proof:
The statement is true whenever k = 1 or N = 1 by inspection. The proof is by induction on N. Assume the statement is true for all... |
Difference between revisions of "Literature on Carbon Nanotube Research"
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</math>
</math>
−
where alpha is the helix angle of the spun yarn, i.e. fiber direction
+
where alphais the helix angle of the spun yarn, i.e. fiber direction relative to yarn axis. The constant k=sqrt(dQ/mu)/3Lis given by the fi... |
Real Analysis Exchange Real Anal. Exchange Volume 29, Number 1 (2003), 265-273. Algebras with inner MB-representation. Abstract
We investigate algebras of sets, and pairs $(\mathcal{A , I})$ consisting of an algebra $\mathcal{A}$ and an ideal $\mathcal{I} \subset \mathcal{A}$, that possess an inner MB-representation. W... |
One disadvantage of the fact that you have posted 5 identical answers (1, 2, 3, 4, 5) is that if other users have some comments about the website you created, they will post them in all these place. If you have some place online where you would like to receive feedback, you should probably also add link to that. — Mart... |
I am trying to create a sequence of functions and have it properly memoize the results. The recursive operation is simply convolution, so it possible there is a better way to do this (obviously, if I ...
I wish to perform the following nested integral:\begin{align}I_n=\int_{-\infty}^\infty dx_n~f(x_n,x_{n+1})\int_{-\in... |
Eigenvalues and Eigenvectors
Recall from the Invariant Subspaces page that a subspace $U$ of $V$ is said to be invariant under the linear operator $T \in \mathcal L (V)$ if $u \in U$ implies that $T(u) \in U$. Now suppose that the vector space $V$ is the direct sum of the nontrivial subspaces $U_1$, $U_2$, …, $U_m$, th... |
Table of Contents
{ this post published here
[1] ; I am not sure whether this also applies if you use an inadmissible heuristic }
I’m working on a tutorial showing how Breadth First Search, Dijkstra’s Algorithm, Greedy Best-First Search, and A* are related. I’m focusing on keeping the code simple and easy to understand... |
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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 ... |
Determining Whether Two Groups are Isomorphic by their Group Presentations
Definition: Let $G$ be a group and let $S = \{ X_1, X_2, ..., X_n \}$. We denote $W(X_1, X_2, ..., X_n)$ to be a word over $S \cup S^{-}$. Then we define the following set by $\{ W(X_1, X_2, ..., X_n) \}_G = \{ W(g_1, g_2, ..., g_n) : g_1, g_2, ... |
Article ID 0001 February 2019
Solar flares and coronal mass ejections (CMEs) are two very important active events from Sun. Inspite of several theoretical and statistical analyses, the relation between solar flares and CMEs is so far not well established, and strong opinions and arguments still continue. Statistical ap... |
The following problem arises when we try to bound the expected offline optimal value of a simple online assignment problem with random values and unit weights, by its deterministic approximation.
The Problem
Consider a sequence $\{X_i\}_{i=1}^n$ of non-negative integrable i.i.d. random variables with absolutely continu... |
Browse by Person
Up a level 54. Article
Aad, G, Abbott, B, Abdallah, J et al. (2883 more authors) (2016)
Addendum to ‘Measurement of the tˉt production cross-section using eμ events with b-tagged jets in pp collisions at √s = 7 and 8 TeV with the ATLAS detector’. European Physical Journal C: Particles and Fields, 76. 6... |
Difference between revisions of "Help:Formatting"
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==See Also==
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*[[Help:Editing|Editing the
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*[[Help:Editing|Editing the Wiki]]
*[[Help:Formatting_Toolbar | Using the formatting toolbar]]
*[[Help:Formatting_Toolbar | Using the formatting toolbar]]
*[[Help:Lin... |
The question was about intuitionism specifically, not some variant of constructivism, nor about some particular formalization of intuitionism (I don't think an intuitionist would recognize any particular formalization as being complete or even meaningful).
Your statement is not of the form $$P \to (Q \vee R).$$ It's of... |
Lasers work by stimulated emission of atomic transitions. Stimulated emission produces two photons which, because the particle number is well-defined, projects the field into a Fock state. However, it is a known fact that lasers emit light in a coherent state. How does the field evolve from a particle-state to a superp... |
(1) Is it correct then that geodesics in M (if M is Riemannian) are just a special case of this construction?
Yes, it is correct to say this. Give a Riemannian manifold $M$ with a metric $g_{ab}$
and an affine connection $\Gamma^a_{bc}$, one can construct various geometric invariants on $M$ such as the Riemann and Ricc... |
After having read the answers to calculating $\pi$ manually, I realised that the two fast methods (Ramanujan and Gauss–Legendre) used $\sqrt{2}$. So, I wondered how to calculate $\sqrt{2}$ manually in an accurate fashion (i.e., how to approximate its value easily).
One really easy way of approximating square roots surp... |
I think it'd be nice to have a whole set of possible messages, each associated with some equation which has zero on the right hand side. It'd look something like this:
"404; Did you just [insert operation that yields zero*]? Because there's nothing here! (Insert relevant equation**)"
*Examples; (**Corresponding equatio... |
Interface Issues¶ Background jobs¶
Yes, a Sage job can be run in the background on a UNIX system. The canonical thing to do is type
$ nohup sage < command_file > output_file &
The advantage of nohup is that Sage will continue running after you log out.
Currently Sage will appear as “sage-ipython” or “python” in the out... |
Imagine we have a population and $Y$ is a summary of that population. Then $P(Y \in (y, y + \Delta y))$ is counting the proportion of individuals that have variable $Y$ in the range $(y, y + \Delta y)$. You can consider this as a "bin" of size $\Delta y$ and we are counting how many individuals are inside that bin.
Now... |
We have the matrix Laplacian matrix $G=A^TA$ which has a set of eigenvalues $\lambda_0\leq\lambda_1\leq\ldots\leq \lambda_n$ for $G\in\mathbb{R}^{n\times n}$ where we always know $\lambda_0 = 0$. Thus the Laplacian matrix is always symmetric positive semi-definite. Because the matrix $G$ is not symmetric positive defin... |
Fractions and binomial coefficients are common mathematical elements with similar characteristics - one number goes on top of another. This article explains how to typeset them in LaTeX.
Contents
Using fractions and binomial coefficients in an expression is straightforward.
The binomial coefficient is defined by the ne... |
In a paper by Joos and Zeh, Z Phys B 59 (1985) 223, they say:This 'coming into being of classical properties' appears related to what Heisenberg may have meant by his famous remark [7]: 'Die "Bahn" entsteht erst dadurch, dass wir sie beobachten.'Google Translate says this means something ...
@EmilioPisanty Tough call. ... |
Could you please give at least a hint to prove this? I really don't know how to start.
Let $A$ be the matrix
$A= \left( \begin{array}{ccc} A_{11} & A_{12} \\ A_{21} & A_{22} \end{array} \right)$,
where $A_{11}$ and $A_{22}$ are square matrices of order $k$ and $m$ respectively. Prove that for any two matrices $D$ of or... |
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hep-th
Change to browse by: Bookmark(what is this?) General Relativity and Quantum Cosmology Title: Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817
(Submitted on 20 Aug 2019)
Abstract: In this work we shall study Einstein Gauss-Bonnet theories and we investig... |
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To those who have given NSEP, how much are you expecting?and what is the likely MAS this year?
Note by Mvs Saketh 4 years, 10 months ago
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those ch... |
Another method, not covered by the answers above, is
finite automaton transformation. As a simple example, let us show that the regular languages are closed under the shuffle operation, defined as follows:$$L_1 \mathop{S} L_2 = \{ x_1y_1 \ldots x_n y_n \in \Sigma^* : x_1 \ldots x_n \in L_1, y_1 \ldots y_n \in L_2 \}$$Y... |
generation of certain matrices
I'd like to create a list of roughly 100-1000 $2 \times 2$ matrices $[A_1,A_2,...,A_N]$ that have the following properties:
$\det A_j = 1$
The entries of each $A_j$ are in an imaginary quadratic integer ring, such as $\mathbb{Z}[i]$, or $\mathbb{Z}[\sqrt{-2}]$
For example, the matrix $$\b... |
Blue-sky catastrophe
Andrey Shilnikov and Dmitry Turaev (2007), Scholarpedia, 2(8):1889. doi:10.4249/scholarpedia.1889 revision #137318 [link to/cite this article]
This stunning name has been given to the last, out of the seven known, main bifurcations of a periodic orbit. While the first six bifurcations had been know... |
One of the benefits of coming back to an existing wordpress blog rather than continuing to try to roll my own in github.io is that I can easily piggyback on other people writing plugins to solve the same problems. So far, the Crayon and MathJax-Latex plugins seem to fit the bill.
Testing syntax highlighting
# hello_wor... |
Suppose that $X \in \mathbb{R}^{n \times n}$, and $X$ is positive semidefinite. For convenience, define
\begin{align}\langle A, B\rangle = \sum_{k, l} A_{kl}B_{kl}\end{align}
for square matrices $A, B$ of equal size; this operation corresponds to the trace of the matrix product.
So your formulation currently looks like... |
Bulletin of the American Physical Society 2017 Fall Meeting of the APS Division of Nuclear Physics Volume 62, Number 11 Wednesday–Saturday, October 25–28, 2017; Pittsburgh, Pennsylvania
Session HF: Structure Functions Hide Abstracts Chair: Misak Sargsian, Florida International University
Room:
Salon 6
Friday, October 2... |
Let $(\Omega,\mathcal{F},\mathbb{F},\mathbb{\mu})$ be a filtered probability space.
Market efficiency implies that the stock price process is Markov with
$\mathbb{E}[f(X_t)|\mathbb{F}_s] = g(X_s)$ for $0 \leq s \leq t$
where $f$ and $g$ are Borel measurable functions.
It additionally implies that the discounted stock p... |
Basic Electric Guitar Circuits 2: Potentiometers & Tone Capacitors Part 2: Potentiometers and Tone Capacitors What is a Potentiometer?
Potentiometers, or "pots" for short, are used for volume and tone control in electric guitars. They allow us to alter the electrical resistance in a circuit at the turn of a knob.
It is... |
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Kaon femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
(Elsevier, 2017-12-21)
We present the results of three-dimensional femtoscopic analyses for charged and neutral kaons recorded by ALICE in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV. Femtoscopy is used to... |
I wish to find an expression for the number of solutions $x$ to $x^2\equiv 9 \pmod n$, with $x$ a natural number${}<n$, when $n$ has a factorization $n=p_1^{m_1}\cdot p_2^{m_2}\cdots p_k^{m_k}$ into distinct prime powers.
I have already found that for the different cases of $p_i$, that for $2^k$, $k \ge 3$ there are al... |
Given a filtered space $(\Omega, F,\mathcal{F}_{t})$ with rightcontinous filtration. We have a class of probability measures $P=\{P_{\theta}:\theta \in \Theta\}$ definied on the filtered space.
We assume there exists a $\sigma$-finite measure $\mu$ on $(\Omega,\mathcal{F})$, which locally dominates $P$:
\begin{align*} ... |
At its core, the argument you're presenting only uses the fact that your prospective ladder operator $\hat \ell=\hat a$ has a specific commutation relation with the hamiltonian,$$[\hat H,\hat \ell] = -c\hat \ell\tag{$*$}$$for some constant $c$; this is enough to ensure that if $|E\rangle$ is an eigenstate of $\hat H$ w... |
Excuse my lack of vocabulary for I have no formal training in this field, which is also why I ask this question - it may be trivial or it may be impossible.
I want to evaluate an expression in the following form down to a binary float with "correct" rounding and I'm worried that double-rounding will corrupt my result:
... |
To evaluate detection performance, we plot the
miss-rate $mr(c) = \frac{fn(c)}{tp(c) + fn(c)}$ against the number of false positives per image $fppi(c)=\frac{fp(c)}{\text{#img}}$ in log-log plots. $tp(c)$ is the number of true positives, $fp(c)$ is the number of false positives, and $fn(c)$ is the number of false negat... |
$$\sum \frac{(-1)^{n}}{n\cdot \ln n}$$
leibniz criterion: The series $\frac{1}{n\cdot \ln n}$ is monotonically decreasing. Also $\lim_{n \to \infty}\frac{1}{n\cdot \ln n}=0$
Thus, the the series is convergent.
however, these criteria also met with "integral test".
Using Integral test: $\int \frac{1}{x\cdot \ln x}dx$ us... |
Topological Methods in Nonlinear Analysis Topol. Methods Nonlinear Anal. Volume 29, Number 2 (2007), 199-249. Fixed point theorems and Denjoy-Wolff theorems for Hilbert's projective metric in infinite dimensions Abstract
Let $K$ be a closed, normal cone with nonempty interior ${\rm int}(K)$in a Banach space $X$. Let $\... |
Given a fat matrix $B \in \mathbb{C}^{n \times m}$ (where $m > n$) with full row rank, I would like to find (numerically) a full-rank matrix $A$ that minimizes the Frobenius norm of the product $A B$. Formally,
$$\underset{A \in \mathbb{C}^{n \times n}}{\text{minimize}} \quad \frac{1}{2} \|AB\|_F^2 \quad \text{subject ... |
We study the problem of variable selection for linear models under thehigh-dimensional asymptotic setting, where the number of observations $n$ growsat the same rate as the number of predictors $p$. We consider two-stagevariable selection techniques (TVS) in which the first stage uses bridgeestimators to obtain an esti... |
One way to formalize the concept is to approximate $X(t)$ by a Markov jump process, then define the concept for this spatial approximation (where it makes perfect sense), and then take the limit. To construct this approximation, one approximates the infinitesimal generator $L_t$ of the SDE by a suitable spatial differe... |
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Now showing items 1-5 of 5
Forward-backward multiplicity correlations in pp collisions at √s = 0.9, 2.76 and 7 TeV
(Springer, 2015-05-20)
The strength of forward-backward (FB) multiplicity correlations is measured by the ALICE detector in proton-proton (pp) collisions at s√ = 0.9, 2.76 and 7 TeV. The measurement... |
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 ... |
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Please help me to find out the fallacy.
Note by Trishit Chandra 4 years, 7 months ago
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solutio... |
To fill the Schrödinger equation, $\hat{H}\psi=E\psi$, with a bit oflife, we need to add the specifics for the system of interest, here the hydrogen-like atom.A
hydrogen-like atom is an atom consisting of a nucleus and just one electron; thenucleus can be bigger than just a single proton, though. H atoms, He + ions, Li... |
Does Smeaton's coefficient, k, have a modern value or it is dependent of the air density?
Why is the accepted value of k so high?
In various texts about the Wright brothers (see 1 and 2) one can read about Smeaton's coefficient that troubled them a lot and that they finally discovered the parameter had a much lower val... |
Assume that the Lagrangian density
$$\tag{1} {\cal L} ~=~ {\cal L}(\phi(x), \partial \phi(x), x) $$
does not depend on higher-order derivatives $\partial^2\phi$, $\partial^3\phi$, $\partial^4\phi$, etc. Let
$$\tag{2} \pi^{\mu}_{\alpha} ~:=~ \frac{\partial {\cal L}}{ \partial (\partial_{\mu}\phi^{\alpha})} $$
denote the... |
I think -- and hope -- that every computer science student is confronted with this problem which feels like a paradoxon. It is a very good example for the difference of computable in TCS sense and computable in a practical sense.
My thoughts back then were: "Yea, if I
knew the answer, it would obviously be computable. ... |
Question:
A particle of mass
mis in the symmetric well $$ V(x) = \begin{cases}\infty & x < 0\\V_0 & 0 < x <a \\ 0 & a< x <2a \\ V_0 & 2a < x <3a \\ \infty & 3a < x \end{cases} $$ The ground state happens to have energy $E_1 = V_0 / 2 $.
(a) what conditions must the wave function satisfy at each of the potential step $ ... |
I am not very big in mathematics yet(will be hopefully), naive set theory has a problem with Russell's paradox, how do they defeat this sort of problem in mathematics? Is there a greater form of set theory than naive set theory that beats this problem? (Maybe something like superposition if is both or neither)?
The
Zer... |
I'm encountering a very unusual consistency when plotting the vector fields in a cylindrical waveguide mode. In a cylindrical waveguide operating in a given mode, the $\hat{e}_r$ and $\hat{e}_\phi$ components of the $\textbf{E}$-field vector (in a cylindrical coordinate system, with the z-axis aligned longitudinally wi... |
The package
CircuiTikz provides a set of macros for naturally typesetting electrical and electronic networks. This article explains basic usage of this package.
Contents CircuiTikz includes several nodes that can be used with standard tikz syntax.
\documentclass{article} \usepackage[utf8]{inputenc} \usepackage[english]... |
The accretion of matter onto a compact object cannot take place at an unlimited rate. There is a negative feedback caused by radiation pressure.
If a source has a luminosity $L$, then there is a maximum luminosity - the Eddington luminosity - which is where the radiation pressure balances the inward gravitational force... |
Specifically, I need to find the cosmological parameters $Ω_i$ from a certain data set (with error bars) of redshift $z$ and luminosity distance $d_L$ using a Fisher Information matrix. I know that my data goes accordingly to $$ d_L(z)= \begin{cases} \frac{d_H}{\sqrt{|\Omega_k|}}\sinh(\sqrt{\Omega_k}d_c(z)/d_H) & \quad... |
Let $\rho$ be a group action by a compact group $G$
\begin{equation} \rho:G\times M \rightarrow M \\ \rho:(g,p) \rightarrow \rho_g(p) \end{equation}
Denote the orbit of $p\in M$ by $\mathcal{O}_p$ and the isotropy group of $p$ by $G_p$. We have a natural representation $G_p$ on the vector space $T_p(M)/T_p\mathcal{O}_p... |
2019-09-27 09:59
Higgs boson pair production at colliders: status and perspectives / Di Micco, Biagio (Universita e INFN Roma Tre (IT)) ; Gouzevitch, Maxime (Centre National de la Recherche Scientifique (FR)) ; Mazzitelli, Javier (University of Zurich) ; Vernieri, Caterina (SLAC National Accelerator Laboratory (US)) ; ... |
Elements of Infinite Polynomial Rings¶
AUTHORS:
An Infinite Polynomial Ring has generators \(x_\ast, y_\ast,...\), sothat the variables are of the form \(x_0, x_1, x_2, ..., y_0, y_1,y_2,...,...\) (see
infinite_polynomial_ring).Using the generators, we can create elements as follows:
sage: X.<x,y> = InfinitePolynomialR... |
This isn't an answer to conjecture 1, just an elaboration of things others mentioned.
There is every reason to think that the answer to conjecture 1 is yes and even that for fixed $m \gt 1$ we have that for each odd integer $x \geq 3$ there are infinitely many $n$ with $p_{n+m}-p_n-p_m=x.$ We don't know that there is e... |
The most direct way of simulating a random variable from a distribution with cdf $F$ is to first simulate a Uniform variate $U\sim\mathcal{U}(0,1)$ and second return the inverse cdf transform $F^{-1}(U)$. When the inverse $F^{-1}$ is not available in closed form, a numerical inversion can be used. Numerical inversion m... |
@mickep I'm pretty sure that malicious actors knew about this long before I checked it. My own server gets scanned by about 200 different people for vulnerabilities every day and I'm not even running anything with a lot of traffic.
@JosephWright @barbarabeeton @PauloCereda I thought we could create a golfing TeX extens... |
also, if you are in the US, the next time anything important publishing-related comes up, you can let your representatives know that you care about this and that you think the existing situation is appalling
@heather well, there's a spectrum
so, there's things like New Journal of Physics and Physical Review X
which are... |
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Posts: 3400 Re: sqrt{ABC} = 504 . Is B divisible by 2? 1) C = 168 2) A is a [#permalink]
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I hope bunuel shed light on this one..........
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Pearce-Hall error learning theory
Geoffrey Hall (2008), Scholarpedia, 3(2):5274. doi:10.4249/scholarpedia.5274 revision #91640 [link to/cite this article]
The
Pearce-Hall model (1980) describes the circumstances in which an event comes to be established as a signal for its consequences. The model was developed in the c... |
D&D 5E has an "advantage" concept where instead of rolling 1d20, you roll 2d20 and take the higher. Likewise, disadvantage means rolling 2d20 and taking the lower.
How does this affect the expected average outcome of the roll?
Role-playing Games Stack Exchange is a question and answer site for gamemasters and players o... |
In fact, even a snake does not have to look beyond its nose to find a nice example (I post it here such that the original question does not get to long, discouraging potential readers).Take $X$ as the complex-valued sequences with the usual vector-space structure and with norm\begin{equation}\left\|x\right\|_X^2=|x_1|^... |
This question is somehow related to my previous MO question Explicit description of a subgroup of the braid group $\mathsf{B}_2(C_2)$; for the reader convenience, let me write down again the relevant set-up.
Let $C_2$ be a smooth curve of genus $2$ and $X:=\mathrm{Sym}^2(C_2)$ its second symmetric product. If $\delta \... |
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