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J/Ψ production and nuclear effects in p-Pb collisions at √sNN=5.02 TeV
(Springer, 2014-02)
Inclusive J/ψ production has been studied with the ALICE detector in p-Pb collisions at the nucleon–nucleon center of mass energy √sNN = 5.02TeV at the CERN LHC. The measurement is performed i... |
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Now showing items 1-10 of 21
Production of Σ(1385)± and Ξ(1530)0 in proton–proton collisions at √s = 7 TeV
(Springer, 2015-01-10)
The production of the strange and double-strange baryon resonances ((1385)±, Ξ(1530)0) has been measured at mid-rapidity (|y|< 0.5) in proton–proton collisions at √s = 7 TeV with the ... |
It is common knowledge that chemical reactions occur more rapidly at higher temperatures. Milk turns sour much more rapidly if stored at room temperature rather than in a refrigerator; butter goes rancid more quickly in the summer than in the winter; and eggs hard-boil more quickly at sea level than in the mountains. F... |
Gas Chromatography Contents Introduction
Chromatography is a technique in the field of analytical chemistry that separates a fluid mixture into its parts for analysis. The field of chromatography is very broad and is used in many different ways. Chromatography can be done on a small strip of paper to large industrial c... |
The problem is to find the derivative of $f(x) = \frac{3x}{x^2+1}$ at $x = -4$ using the limit definition, $$ f'(x) = \lim_{h\to 0}\frac{f(x+h)-f(x)}{h} $$
Progress
I plug in $-4$ for $x$ when using the limit definition and I always end up stuck with an unfactorable denominator. I tried it $5$ times already but I alway... |
Optimal Hölder regularity for nonautonomous Kolmogorov equations
1.
Dipartimento di Matematica, Università degli Studi di Parma, Viale Parco Area delle Scienze 53/A, I-43124 Parma, Italy
Awith unbounded coefficients defined in $[0,T]\times\R^N$ and we prove optimal Schauder estimates for the solution to the parabolic C... |
Suppose you dispense 20 mL of a reagent using the Class A 10-mL pipet whose calibration information is given in Table 4.9. If the volume and uncertainty for one use of the pipet is 9.992 ± 0.006 mL, what is the volume and uncertainty when we use the pipet twice?
As a first guess, we might simply add together the volume... |
A standard Grassmannian $Gr(m,V)$ is the manifold having as its points all possible $m$-dimensional subspaces of a given vectorspace $V$. As an example, $Gr(1,V)$ is the set of lines through the origin in $V$ and therefore is the projective space $\mathbb{P}(V)$. Grassmannians are among the nicest projective varieties,... |
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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 ... |
Geometry and Topology Seminar Contents 1 Fall 2016 2 Spring 2017 3 Fall Abstracts 4 Spring Abstracts 5 Archive of past Geometry seminars Fall 2016
date speaker title host(s) September 9 Bing Wang (UW Madison) "The extension problem of the mean curvature flow" (Local) September 16 Ben Weinkove (Northwestern University) ... |
This quantum statistical mechanical system encodes the arithmetic properties of cyclotomic extensions of $\mathbb{Q}$.
The corresponding Bost-Connes algebra encodes the action by the power-maps on the roots of unity.
It has generators $e_n$ and $e_n^*$ for every natural number $n$ and additional generators $e(\frac{g}{... |
It seems that contrary to some other answers a continuous solution can be constructed.
First of all we interpolate with Newton series the flow of function $\cos(\cos(z))$:
$$\phi_{1/2}(x,z)=\cases { \arccos^{[x]}(z), & \text{if } x < 0 \cr \cos^{[x]}(z), & \text{if } x \ge 0 }$$
$$\phi_{1}(x,z)=\sum_{m=0}^\infty \binom... |
So from this page, I know that there is a relation between Chern-Simons Theory and Yang-Mills Theory, but I have difficulty proving the identities in the document.
I was going to prove $$\partial_\mu(\epsilon^{\mu\alpha\beta\gamma}(A_\alpha^a\partial_\beta A^a_\gamma+\dfrac13f^{abc}A^a_\alpha A^b_\beta A^c_\gamma)) = 4... |
But if you don't want to have a Google account: Chrome is really good. Much faster than FF (I can't run FF on either of the laptops here) and more reliable (it restores your previous session if it crashes with 100% certainty).
And Chrome has a Personal Blocklist extension which does what you want.
: )
Of course you alr... |
(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... |
I would not use an aligned approach in an inline set. Here is something your can work with:
\documentclass{memoir}
\usepackage{amsmath}
\begin{document}
Let us consider the function
\begin{align*}
f\colon A &\to A,\\
x &\mapsto \big(f_1(x), f_2(x)\big).
\end{align*}
Saepe at quas accusamus molestiae possimus consequatu... |
't Hooft anomaly matching condition states that the (chiral) anomalous structure of the given theory is the same independently on the scale. This means that if we have one particle content $\{\psi\}$ for scales $> \Lambda$ with non-zero anomaly, then another particle content $\{\phi\}$ for scales $<\Lambda$ must reprod... |
==Definition==
=
==Symbol-free definition===
An '''abelian group''' is a [[group]] where any two elements commute.
===Definition with symbols===
A [[group]] <math>G</math> is termed '''abelian''' if for any elements <math>x</math> and <math>y</math> in <math>G</math>, <math>xy = yx</math> (here <math>xy</math> denotes ... |
[LON-CAPA-users] Hints for first LON-CAPA question Joseph Mingrone jrm at mathstat.dal.ca Thu Jun 13 15:04:44 EDT 2013 Joseph Mingrone <jrm at mathstat.dal.ca> writes:
Hello all;
I'm creating a problem that I've included below. My questions are:
1. How can a student submit each part of the question separately?
2. In th... |
Expected Number of Happy Passengers Problem
Solution 1
Assuming the plane seats $n$ passengers, let $F(n)$ the expectation of the the number of unhappy passengers and $F^*(n)$ is a similar expectation, conditioned on the first passenger getting a wrong seat, so that the two are related as shown below:
$\displaystyle F(... |
Index 1 fixed points of orientation reversing planar homeomorphisms
DOI: http://dx.doi.org/10.12775/TMNA.2015.044
Abstract
Let \(U \subset {\mathbb R}^2\) be an open subset, \(f\colon U \rightarrow f(U) \subset {\mathbb R}^2\) be an orientation reversing homeomorphism and let \(0 \in U\) be an isolated, as a~periodic o... |
Hi, Can someone provide me some self reading material for Condensed matter theory? I've done QFT previously for which I could happily read Peskin supplemented with David Tong. Can you please suggest some references along those lines? Thanks
@skullpatrol The second one was in my MSc and covered considerably less than my... |
Difference between revisions of "NTSGrad Spring 2018/Abstracts"
(→May 8)
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Let f be a weight-2 newform on <math>\Gamma_0(N)</math>. Given a fixed isogeny class of semistable elliptic curves over <math>\mathbb{Q}</math>, for some N there exists a distinguis... |
Interested in the following function:$$ \Psi(s)=\sum_{n=2}^\infty \frac{1}{\pi(n)^s}, $$where $\pi(n)$ is the prime counting function.When $s=2$ the sum becomes the following:$$ \Psi(2)=\sum_{n=2}^\infty \frac{1}{\pi(n)^2}=1+\frac{1}{2^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{3^2}+\frac{1...
Consider a random binary str... |
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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 ... |
Quadratic programming (QP) involves minimizing or maximizing an objective function subject to bounds, linear equality, and inequality constraints. Example problems include portfolio optimization in finance, power generation optimization for electrical utilities, and design optimization in engineering.
Quadratic program... |
I knew since I was ten (we had quite a comprehensive curriculum at school) that the shortest day of the year falls on December 22nd. What I didn’t ponder until very recently was whether it was also the day of the latest sunrise (and, consequently, the earliest sunset).
While it may seem like a natural consequence of De... |
Presentation of the problem :
We have a uniform homogenous isotropic dielectric sphere in an electrostatic field.
To solve this problem, we remark that we have an azimuthal symmetry. So the potential of the problem is $V(r, \theta)$.
Because we are in homogenous isotropic dielectric medium, we have a Laplace equation f... |
Many texts say that an observable should be represented by a hermitian operator. That is
sufficient, but not necessary. More generally, we can use any operator that can be expressed as a linear combination of mutually commuting projection operators. Such an operator is called a normal operator. A normal operator $N$ is... |
The full picture is attained by solving for the modes of the whole waveguide (in theory for the refractive index profile right out to and beyond the jacket) by the methods described, for example, in Chapter 12 through 15 of:
A. W. Snyder and J. D. Love, "Optical Waveguide Theory", Chapman and Hall, 1983.
and the spectr... |
Electronic Journal of Probability Electron. J. Probab. Volume 8 (2003), paper no. 18, 26 p. Approximation at First and Second Order of $m$-order Integrals of the Fractional Brownian Motion and of Certain Semimartingales Abstract
Let $X$ be the fractional Brownian motion of any Hurst index $H\in (0,1)$ (resp. a semimart... |
As shown in the MWE below,
\sum (esp. when the index and lower/upper bounds are defined) is causing the slanty part of the
sqrt sign to be not slanty. Is there a way to preserve it?
\documentclass{article}\begin{document}\[\sqrt{{x^i}}\]\[\sqrt{\sum_{i = 1}{x^i}}\]\[\sqrt{\sum^{n}{x^i}}\]\[\sqrt{\sum_{i = 1}^{n}{x^i}}\... |
Suppose we have a domain $\Omega\subset \mathbb{R}^n$ which is homeomorrphic to the unit ball $B(0,1)\subset \mathbb{R}^n$ and such that $\partial \Omega$ is of class $C^1$ (technically, this means that for every point in the domain we can give a $C^1$-diffeomorphism to the half-space in dimension $n$).
A map $f\colon ... |
This question already has an answer here:
Here is the question $f:X \rightarrow Y$ and $g: Y \rightarrow Z$ are functions and $g \circ f$ is surjective, is $g$ surjective?
My proof: If $g \circ f$ is surjective than $\forall z \in Z \; \exists x \in X \; \mid (g \circ f)(x)=z $ Suppose $f$ is surjective, than $\forall ... |
You wrote,I've managed to get this using the tabular environment, but it's obviously not the right way to do this.You were actually quite close! The main change I'd recommend you make is switching from a tabular environment to an array environment. The following screenshot shows the effect of this change. The third "ta... |
Muon Reconstruction and Identification
Part of the Springer Theses book series (Springer Theses)
Chapter
First Online:
Abstract
The chapter discusses the reconstruction and identification of muons with the ATLAS detector.
References 1.ATLAS Collaboration (2018) Measurement of the \(W\)-boson mass in \(pp\) collisions a... |
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Help on this interesting integral problem ??
Note by Ritvik Choudhary 6 years, 2 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 s... |
Colloquia/Fall18 Contents 1 Mathematics Colloquium 1.1 Spring 2018 1.2 Spring Abstracts 1.3 Past Colloquia Mathematics Colloquium
All colloquia are on Fridays at 4:00 pm in Van Vleck B239,
unless otherwise indicated. Spring 2018
date speaker title host(s) January 29 (Monday) Li Chao (Columbia) Elliptic curves and Goldf... |
Introduction:
Define a "Bit Map" to be a matrix whose entries can only be $0$ or $1$. Then numbers above and beside each column and row indicates how many entries are "filled" with a one.
For example consider,
$$ \begin{array}{c|lcr} & 2 & 2 & 2 \\ \hline 2 & 1 & 0 & 1 \\ 1 & 0 & 1 & 0 \\ 3 & 1 & 1 & 1 \end{array} $$
T... |
Molecular absorption in the ultraviolet and visible region depends on the electronic structure of the absorbing molecule. Light energy is absorbed in quanta, elevating electrons from filled orbitals in the ground state to empty orbitals. Excited molecules return to the ground state, most often by radiationless transiti... |
In the photoelectric effect, light incident on the surface of a metal causes electrons to be ejected. The number of emitted electrons and their kinetic energy can be measured as a function of the intensity and frequency of the light. One might expect, as did the physicists at the beginning of the Twentieth Century, tha... |
Fine Guidance Sensor, FGS
JWST's Fine Guidance Sensor (FGS) provides data for science attitude determination, fine pointing, and attitude stabilization using guide stars in the JWST focal plane. Absolute pointing and image motion performance is predicted on the JWST Pointing Performance page.
JWST's Fine Guidance Senso... |
Gambling in a Company Problem
Answers
The expected number of rounds is $\displaystyle\sum_{i\lt j}a_ia_j.$
The probability that the $i^{th}$ gambler ends up with all the money $\displaystyle \frac{a_i}{a_1+a_2+\ldots+a_n}.$
For $n=3,$ the expected number of rounds till the first loser quits the game is $\displaystyle \... |
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Production of light nuclei and anti-nuclei in $pp$ and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
(American Physical Society, 2016-02)
The production of (anti-)deuteron and (anti-)$^{3}$He nuclei in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV has ... |
HALP: High-Accuracy Low-Precision Training by Chris De Sa, Megan Leszczynski, Jian Zhang, Alana Marzoev, Chris Aberger, Kunle Olukotun, and Chris Ré Using fewer bits of precision to train machine learning models limits training accuracy—or does it? This post describes cases in which we can get high-accuracy solutions u... |
My research activities focus on the study of interaction effects in low-dimensional quantum systems.
Presently, I am interested in the so-called Dirac materials with a special focus on
planar systems such as graphene and graphene-like materials.
Graphene is a one-atom thick layer of graphite characterized by gapless ba... |
In Chapter 4 we considered the basic mathematical details of a propagation of uncertainty, limiting our treatment to the propagation of measurement error. This treatment is incomplete because it omits other sources of uncertainty that influence the overall uncertainty in our results. Consider, for example, Practice Exe... |
This question arose from the recent one, roots of a polynomial linked to mock theta function?. Let $$ g(x):=\sum_{k=0}^\infty x^k\prod_{j=1}^{k-1}(1 + x^j)^2\\=1+x+x^2+3 x^3+4 x^4+6 x^5+10 x^6+15 x^7+21 x^8+30 x^9+43 x^{10}+59 x^{11}+...; $$ the sequence $1,1,1,3,4,6,10,15,21,30,43,59,...$ with the generating function ... |
I want to determine the credible interval of a quantity $\theta_1$. I want to make this estimate using observed data by assuming a certain model which depends on $\theta_1$ as well as about n=15 nuisance parameters $\theta_2, \ldots, \theta_n$.
I have a likelihood function $\mathcal L(x|\boldsymbol\theta)$ where $x$ ar... |
I am trying to compile a latex document that is compact as possible because I am allowed to bring a one paged sheet into an exam I am writing (may sound kind of funny but I think it may be applicable in many cases) and so I really want to make my document as compact as possible. I don't really care if its microscopic f... |
The answer is no, and a counterexample is the following plateau potential:
$V(x) = x^2 \ \ \ \ \; \mathrm{for}\ \ \ \ x\ge -A$
$V(x) = A^2 \ \ \ \ \mathrm{for}\ \ \ \ -A-k \le x < -A$
$V(x) = \infty\ \ \; \ \ \mathrm{for}\ \ \ \ x <-A-k$
A is imagined to be a huge constant, and k is a large constant, but not anywhere n... |
Definition:Basis (Topology) Contents Definition
Let $\left({S, \tau}\right)$ be a topological space.
An analytic basis for $\tau$ is a subset $\mathcal B \subseteq \tau$ such that: $\displaystyle \forall U \in \tau: \exists \mathcal A \subseteq \mathcal B: U = \bigcup \mathcal A$ That is, such that for all $U \in \tau$... |
Theorem (4.32) of "Lectures on modules and rings" by T.Y. Lam says that a module $P_R$ is flat iff any $R$-homomorphism $λ:M→P$ where $M$ is any finitely presented $R$-module can be factord through a finitely generated free module: there exist $ν:M→R^m , μ:R^m→P$ (for some finite $m$) with $λ=μoν$. My question leans on... |
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J/Ψ production and nuclear effects in p-Pb collisions at √sNN=5.02 TeV
(Springer, 2014-02)
Inclusive J/ψ production has been studied with the ALICE detector in p-Pb collisions at the nucleon–nucleon center of mass energy √sNN = 5.02TeV at the CERN LHC. The measurement is performed i... |
I'm following this document on on how to prove strong normalization for the simply typed lambda calculus. I understand how this proof works. The if-case of the proof is left to the reader as an exercise. I tried to solve this exercise, but I'm quite confused on how to continue.
This is what I've found by now:
Case:
$$\... |
Now since the sum $$ \sum_{n=0}^\infty \frac{x^n}{n!},\quad x\in\Bbb R, $$ does have some relatively nice properties, is the same true for its analogues integral? If we take the gamma function to be a generalisation of the factorial with $\Gamma(n+1) = n!$, an obvious analogues integral formula would be $$ \int_0^\inft... |
Definition:Strict Lower Closure/Set Definition
Let $T \subseteq S$.
The strict lower closure of $T$ (in $S$) is defined as: $T^\prec := \displaystyle \bigcup \left\{{t^\prec: t \in T}\right\}$
where $t^\prec$ denotes the strict lower closure of $t$ in $S$.
That is:
$T^\prec := \left\{ {u \in S: \exists t \in T: u \prec... |
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2012, Lettre, ISBN 3837620778, 360
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2013, Erste Auflage 2013., ISBN 386525344X, 388
Book
Volume Bd. 13
Conference Proceeding
The European Physical Journal C, ISSN 143... |
The bounty period lasts 7 days. Bounties must have a minimum duration of at least 1 day. After the bounty ends, there is a grace period of 24 hours to manually award the bounty. Simply click the bounty award icon next to each answer to permanently award your bounty to the answerer. (You cannot award a bounty to your ow... |
Definition:Ring of Polynomial Forms Definition
Let $R$ be a commutative ring with unity.
Let $I$ be a set
Let $\left\{{X_i: i \in I}\right\}$ be an indexed set.
Let $A = R \left[{\left\{{X_i: i \in I}\right\}}\right]$ be the set of all polynomial forms over $R$ in $\left\{{X_i: i \in I}\right\}$.
The ring of polynomial... |
The matrix isomorphisms of Clifford algebras are often expressed in terms of Pauli matrices. We will follow the common convention of using \({\left\{ i,j,k\right\} }\) to represent matrix indices that are an even permutation of \({\left\{ 1,2,3\right\} }\); \({i}\) also represents the square root of negative one, but t... |
Commun. Math. Anal.
Volume 12, Number 2 (2012), 26 - 33
The Sharpness of Condition for Solving the Jump Problem
The Sharpness of Condition for Solving the Jump Problem
Abstract
Let $/gamma$ be a non-rectifiable closed Jordan curve in $\mathbb{C}$, which is merely assumed to be d-summable $1<d<2$ in the sense of Harriso... |
An atom is the smallest unit of an element that can exist. Every atom is made up of protons, neutrons, and electrons. These particles define a nuclide and its chemical properties and were discovered in the early 20
th century and are described by modern atomic theory. Nuclide
Nuclides are specific types of atoms or nuc... |
My try: Let $x = \sqrt{t}$, then $dx = \frac{1}{2\sqrt{t}}dt$. We get the following integral: $\int_{0}^{\infty}\frac{\sin(t)\sin(\sqrt{t})}{2\sqrt{t}}dt$. Now I tried to use Dirichlet's test: The function $g(x) = 1/2\sqrt{t}$ has limit $0$ at infinity and it is monotonically decreasing. Now if I could show that the fu... |
I want to typeset a piece of code containing line breaks. New lines should indent to a specified point in the previous line. Here is a monospaced example to illustrate what I mean. Notice how 'case' and 'of' line up below, as well as 'let' and 'in':
swap : forall a, b. Tuple a b -> Tuple b aswap a b x = case x of tuple... |
June 15th, 2014, 09:14 PM
# 1
Member
Joined: Jun 2014
From: pennsylvania
Posts: 45
Thanks: 0
Help me understand this problem. Hello, I just wanted some help on how to answer this type of question, I don't understand what I have to do.
The 37 1/2 & 2 2/3 is what I guessed.
I also wanted to know how to solve this one bec... |
Proceedings of the Thirty-Second Conference on Learning Theory, PMLR 99:663-695, 2019.
Abstract
We present an approach that improves the sample complexity for a variety of curve fitting problems, including active learning for linear regression, polynomial regression, and continuous sparse Fourier transforms. In the act... |
When we know an input value and want to determine the corresponding output value for a function, we
evaluate the function. Evaluating will always produce one result because each input value of a function corresponds to exactly one output value.
When we know an output value and want to determine the input values that wo... |
When you write
[...] to initialize a time series of random white noise (the errors), and than perform a first fit, to obtain a first model, than calculate the errors compared to the actual data, and than fit it again with the newly obtained errors, compare it to the actual data to obtain new errors and so on.
you actua... |
Zugehörigkeit:
Oberlin College
Datum: Die, 2018-09-04 09:50 - 10:10
Let $s(\cdot)$ denote the sum-of-proper-divisors function, that is, $s(n) =\sum_{d\mid n,~d<n}d$.
Erdös--Granville--Pomerance--Spiro conjectured that, for any set $\mathcal{A}$ of asymptotic density zero, the preimage set $s^{-1}(\mathcal{A})$ also has... |
NIRISS Filters
JWST NIRISS has 12 medium- and broadband filters that cover the wavelength range between 0.8 and 5.0 μm in support of applications involving aperture masking interferometry, wide field slitless spectroscopy, and imaging.
Main article: NIRISS Observing Modes
NIRISS has a total of 12 filters, which are loc... |
It’s been a while, so let’s include a recap : a (transitive) permutation representation of the modular group $\Gamma = PSL_2(\mathbb{Z}) $ is determined by the conjugacy class of a cofinite subgroup $\Lambda \subset \Gamma $, or equivalently, to a dessin d’enfant. We have introduced a
quiver (aka an oriented graph) whi... |
For the better part of the 30ties, Ernst Witt (1) did hang out with the rest of the ‘Noetherknaben’, the group of young mathematicians around Emmy Noether (3) in Gottingen.
In 1934 Witt became Helmut Hasse‘s assistent in Gottingen, where he qualified as a university lecturer in 1936. By 1938 he has made enough of a nam... |
Background:Fix a linear algebraic group $G$ over an algebraically closed field $k$ of arbitrary characteristic and let $B \subseteq G$ be a Borel subgroup with unipotent radical $N$. Let $\Delta^+$ denote the positive roots in a root system of a torus of $G$. Then we have the hyperalgebra $\bar U(N)$ of $N$ which is ge... |
The sun is an extended source. This means that it occupies a definite solid angle in the sky $\omega = 6.8\times 10^{-5} Sr$.
To visualise this (not to scale), let say that the black area in the following diagram is the angular extend of the sun as seen from the surface of the Earth (ignore the other labels),
What happ... |
I want to assign only one overall subscript that cover the both integral symbols in double integration, I tried:
\begin{equation}T_y=\iint_A \tau_{xy}\,dA=0\end{equation}
but it only goes with second integral?
TeX - LaTeX Stack Exchange is a question and answer site for users of TeX, LaTeX, ConTeXt, and related typeset... |
What do we really mean when we say that the neutron and proton wavefunctions together form an $\rm SU(2)$ isospin doublet? What is the significance of this? What does this transformation really doing to the wavefunctions (or fields)?
Two particles forming an $SU(2)$ doublet means that they transform into each other und... |
It is better for you to have studied "Feynman lectures on Physics Vol.3", because I cannot distinguish whether the words or expressions are what Feynman uses only or not and in order to summarize my questions here, I have to just quote the contents of the book.
However, one thing I notice is that "base state" that Feyn... |
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Now showing items 1-10 of 18
J/Ψ production and nuclear effects in p-Pb collisions at √sNN=5.02 TeV
(Springer, 2014-02)
Inclusive J/ψ production has been studied with the ALICE detector in p-Pb collisions at the nucleon–nucleon center of mass energy √sNN = 5.02TeV at the CERN LHC. The measurement is performed in... |
Use the comparison test to determine whether the following series converge.
1) \(\displaystyle \sum^∞_{n=1}a_n\) where \(\displaystyle a_n=\frac{2}{n(n+1)}\)
2) \(\displaystyle \sum^∞_{n=1}a_n\) where \(\displaystyle a_n=\frac{1}{n(n+1/2)}\)
Solution: Converges by comparison with \(\displaystyle 1/n^2\).
3) \(\displays... |
Euler Triangle Formula Theorem
Then:
$d^2 = R \left({R - 2 \rho}\right)$
where:
Proof
Let $I$ be the incenter of $\triangle ABC$.
Then:
$AP = BP = IP$ $\Box$
Let the incenter of $\triangle ABC$ be $I$.
Let the circumcenter of $\triangle ABC$ be $O$.
Let $F$ be the point where the incircle of $\triangle ABC$ meets $BC$.... |
Proceedings of the Thirty-Second Conference on Learning Theory, PMLR 99:1161-1191, 2019.
Abstract
We develop lower bounds for estimation under local privacy constraints—including differential privacy and its relaxations to approximate or Rényi differential privacy—by showing an equivalence between private estimation an... |
Definition:Zero Digit Definition
Let $x \in \R$ be a number.
Let $b \in \Z$ such that $b > 1$ be a number base in which $x$ is represented.
By the Basis Representation Theorem, $x$ can be expressed uniquely in the form:
$\displaystyle x = \sum_{j \mathop \in \Z}^m r_j b^j$ Any instance of $r_j$ being equal to $0$ is kn... |
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. ... |
Geometry and Topology Seminar Contents 1 Fall 2016 2 Spring 2017 3 Fall Abstracts 4 Spring Abstracts 5 Archive of past Geometry seminars Fall 2016 Spring 2017
date speaker title host(s) Jan 20 Jan 27 Feb 3 Feb 10 Feb 17 Feb 24 March 3 March 10 March 17 March 24 Spring Break March 31 April 7 April 14 April 21 April 28 B... |
Let A be $\ \begin{bmatrix} a & c \\ c & b\end{bmatrix} $ where $\ a,b,c, \in \mathbf R $
Prove $\ A $ eigen values are real numbers.
I guess it should be pretty straight forward so I just need to see what are solutions of characteristic polynomial which will be $\ |A - \lambda I| = (a-\lambda)(b - \lambda) - c^2 = 0 $... |
Answer
$x =2 n \pi \pm \dfrac{\pi}{3}$
Work Step by Step
Re-arrange the given equation as: $2 \cos x=1$ $\cos x=\dfrac{1}{2}$ $\cos x=\dfrac{\pi}{3}$ Therefore, the general solution of $\cos x$ is: $x =2 n \pi \pm \dfrac{\pi}{3}$
You can help us out by revising, improving and updating this answer.Update this answer
Aft... |
This is a heuristic explanation of Witten's statement, without going into the subtleties of axiomatic quantum field theory issues, such as vacuum polarization or renormalization.
A particle is characterized by a definite momentum plus possible other quantum numbers. Thus, one particle states are by definition states wi... |
(confined pressure: 41 MPa) at 40°C for high-density liquid CO2 through deep-sea 2 weeks at 4 and 40°C (4°C: 4°C14
Lotus seed starch (LS), dispersed (3%, w/v) in deionized water was homogenized (0–180 MPa) with high-pressure homogenization (HPH) for 15
high pressure–low temperature conditions, and (±0.1°C), and two pis... |
Difference between revisions of "Power function"
Line 3: Line 3:
Why are there several notions of power in Haskell, namely <hask>(^)</hask>, <hask>(^^)</hask>, <hask>(**)</hask>?
Why are there several notions of power in Haskell, namely <hask>(^)</hask>, <hask>(^^)</hask>, <hask>(**)</hask>?
+
<haskell>
+
-- typically ... |
Your question is,
If the average of the first $n$ terms of a sequence tends to a limit, does the sequence itself tend to a limit?
The answer is no in general, as is discussed in the comments. The simplest counterexamples are the sequences which oscillate between two different values $\alpha$ and $\beta$; we would expec... |
How to Implement the Fourier Transformation from Computed Solutions
We previously learned how to calculate the Fourier transform of a rectangular aperture in a Fraunhofer diffraction model in the COMSOL Multiphysics® software. In that example, the aperture was given as an analytical function. The procedure is a bit dif... |
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Production of Σ(1385)± and Ξ(1530)0 in proton–proton collisions at √s = 7 TeV
(Springer, 2015-01-10)
The production of the strange and double-strange baryon resonances ((1385)±, Ξ(1530)0) has been measured at mid-rapidity (|y|< 0.5) in proton–proton collisions at √s = 7 TeV with the ... |
I'm trying to make something like this:
But I have just can't figure out how. I have tried with empheq and
tikz, but I can't get it to work with only some boxes inside
align. I have also tried with
\boxed and
\Aboxed, no success either.
I have a few example of what I have tried:
\documentclass[12pt]{article}\usepackage... |
@DavidReed the notion of a "general polynomial" is a bit strange. The general polynomial over a field always has Galois group $S_n$ even if there is not polynomial over the field with Galois group $S_n$
Hey guys. Quick question. What would you call it when the period/amplitude of a cosine/sine function is given by anot... |
So the electron in the hydrogen atom is just a particle in a spherically-symmetric 1/
r potential… you’ve got a ladder of energy eigenvalues indexed by a quantum number n. The n th eigenvalue has degeneracy n 2, but that’s cool; picking an axis z, the total angular momentum operator and the L z-axis angular momentum op... |
Reineke’s observation that any projective variety can be realized as a quiver Grassmannian is bad news: we will have to look at special representations and/or dimension vectors if we want the Grassmannian to have desirable properties. Some people still see a silver lining: it can be used to define a larger class of geo... |
And I think people said that reading first chapter of Do Carmo mostly fixed the problems in that regard. The only person I asked about the second pset said that his main difficulty was in solving the ODEs
Yeah here there's the double whammy in grad school that every grad student has to take the full year of algebra/ana... |
The question is $\lim_\limits{x\to 3}\frac{x^2-9-3+\sqrt{x+6}}{x^2-9}$.
I hope you guys understand why I have written the numerator like that. So my progress is nothing but $1+\frac{\sqrt{x+6}-3}{x^2-9}$.
Now how do I rationalize the numerator?
It is giving the $\frac{0}{0}$ form after plugging in $3$. |
Hi, Can someone provide me some self reading material for Condensed matter theory? I've done QFT previously for which I could happily read Peskin supplemented with David Tong. Can you please suggest some references along those lines? Thanks
@skullpatrol The second one was in my MSc and covered considerably less than my... |
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