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I am wondering the best way to find a numerical solution to a finite general equilibrium model with Matlab. The model is a basic neoclassical growth model with equilibrium equations:
$c_t+k_{t+1}=k_t(1-\delta)+k_t^{\alpha}$(budget constraint)
$c_t^{-\gamma}=\beta c_{t+1}^{-\gamma}(1-\delta+\alpha k_{t+1}^{1-\alpha})$(E... |
Circle is nothing but the 2-D representation of a sphere. The total area that is taken inside the boundary of the circle is the surface area of the circle. When we say we want the area of the circle, then we mean surface area of the circle itself.
When the length of the radius or diameter or even the circumference of t... |
An ellipsoid is a closed quadric surface that is a three-dimensional analogue of an ellipse. The standard equation of an ellipsoid centered at the origin of a Cartesian coordinate system. The spectral theorem can again be used to obtain a standard equation akin to the one given above.
The formula of Ellipsoid is given ... |
As previous answers have stated, the wavelength (or frequency) and intensity of the beam are important, as well as the type and amount of impurities in the air. The beam must be of a wavelength that is visible to humans, and fog or dust scatters the light very strongly so that you can see it. However, even in pure, cle... |
Hello, I've never ventured into char before but cfr suggested that I ask in here about a better name for the quiz package that I am getting ready to submit to ctan (tex.stackexchange.com/questions/393309/…). Is something like latex2quiz too audacious?
Also, is anyone able to answer my questions about submitting to ctan... |
(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... |
@egreg It does this "I just need to make use of the standard hyphenation function of LaTeX, except "behind the scenes", without actually typesetting anything." (if not typesetting includes typesetting in a hidden box) it doesn't address the use case that he said he wanted that for
@JosephWright ah yes, unlike the hyphe... |
I recently replaced the Lambertian BRDF in my path-tracer with Oren-Nayar, under the assumption that I could adjust it to use the GGX distribution model with appropriate masking/shadowing.
PBR suggests this is't viable, though - Oren-Nayar is formulated without any clear $D$/$F$/$G$ parameters, and a note under the Tor... |
According to the KMV
1 model, the standard deviation for the default of the \(i\)th borrower \(\sigma_{Di}\) is given by \(\sigma_{Di}=\sqrt{(EDF)(1-EDF)}\) where \(EDF\) is the expected default frequency.
Specifically, let \(p\) be the probability of complete repayment of the loan, and \((1-p)\) be the probability of ... |
Question:
Let $L_1$ and $L_2$ be languages over the alphabet $\Sigma$. If $L_1 \cap L_2$ is decidable, then $L_1$ is decidable or $L_2$ is decidable (or they both are).
Definition of a decidable language:A language L is decidable if there exists a Turing-machine $M$ such that on input $x$, $M$ accepts if $x \in L$, oth... |
8.2.3.2.1 - Minitab Express: 1 Sample Mean t Test, Raw Data MinitabExpress – One Sample Mean t Test Using Raw Data
Research question: Is the mean GPA in the population different from 3.0?
Null hypothesis: \(\mu\) = 3.0
Alternative hypothesis: \(\mu\) ≠ 3.0
The GPAs of \(n) = 226 students are available.
A one sample mea... |
Let $f$ be a real-valued Lebesgue measurable function on $\mathbb{R}$. Prove that there exist Borel measurable functions $g$ and $h$ such that $g(x)=h(x)$ almost everywhere and $g(x)\le f(x) \le h(x)$ for every $x \in \mathbb R$. I know that $f$ is measurable since there exists a sequence of simple function that conver... |
Since this awnser grew slowly lets start with the result, the same image once scaled to
.3\linewidth and once scaled to
\linewidth. The first section talks about the idea while the implementation is at the very bottom.
Source:image.tikz is at the bottom of this post.
\documentclass[]{scrreprt}
\usepackage{standalone}
\... |
Even before quantization, charged bosonic fields exhibit a certain "self-interaction". The body of this post demonstrates this fact, and the last paragraph asks the question.
Notation/ Lagrangians
Let me first provide the respective Lagrangians and elucidate the notation.
I am talking about complex scalar QED with the ... |
Young's Modules is defined as,
$Y = \frac{\sigma}{\epsilon}$
where $\sigma$ is the strain defined as $\sigma = F/A$ and $\epsilon$ is the stress defined as $\epsilon = \frac{\Delta L}{L_0}$.
In this case we require the stress, thus re-arranging the first equation gives,
$\sigma = \epsilon Y$
After plugging in the defin... |
I suspect there are a number of errors in the equations, but it's unclearbecause the entire idea behind all these transformations of coordinates is unclear.
Yes, the ellipse projected onto an oblique plane can be rotated and translated in 3-D space back onto a plane parallel to the circle. But what's the purpose of tha... |
What is the "best LaTeX practices" for writing absolute value symbols? Are there any packages which provide good methods?
Some options include
|x| and
\mid x \mid, but I'm not sure which is best...
TeX - LaTeX Stack Exchange is a question and answer site for users of TeX, LaTeX, ConTeXt, and related typesetting systems... |
Search
Now showing items 1-10 of 20
Measurement of electrons from beauty hadron decays in pp collisions at root √s=7 TeV
(Elsevier, 2013-04-10)
The production cross section of electrons from semileptonic decays of beauty hadrons was measured at mid-rapidity (|y| < 0.8) in the transverse momentum range 1 < pT <8 GeV/c w... |
Can you provide proofs or counterexamples for the claims given below?
Inspired by Lucas-Lehmer-Riesel primality test I have formulated the following two claims:
First claim
Let $P_m(x)=2^{-m}\cdot((x-\sqrt{x^2-4})^m+(x+\sqrt{x^2-4})^m)$ . Let $M= k \cdot b^{n}-1 $ where $k$ is positive natural number , $ k<2^n$ , $b$ i... |
Let’s say we have a current wire with a current $I$ flowing. We know there is a field of $B=\frac{\mu_0I}{2\pi r}$ by using Ampère's law, and a simple integration path which goes circularly around the wire. Now if we take the path of integration as so the surface spans doesn’t intercept the wire we trivially get a $B=0... |
I'm currently preparing for an exam in functional analysis, and I have a question about the extension of the spectral theorem for bounded self adjoint operators to bounded normal operators.
Starting point is the spectral theorem for bounded self adjoint operators: Let $T$ be a bounded self adjoint operator in an Hilber... |
Value
1. INTRODUCTION
Value investing is a strategy that buys cheap stocks. Cheapness is measured by the ratio of the price to the fundamental value of the stock. An example of such, and probably the most commonly used value metrics, is the book-to-market (BM) ratio - the higher the ratio the cheaper the stock. The val... |
Let $X_n(\Bbb{Z})$ be the simplicial complex whose vertex set is $\Bbb{Z}$ and such that the vertices $v_0,...,v_k$ span a $k$-simplex if and only if $|v_i-v_j| \le n$ for every $i,j$. Prove that $X_n(\Bbb{Z})$ is $n$-dimensional...
no kidding, my maths is foundations (basic logic but not pedantic), calc 1 which I'm pr... |
Consider a quantum
query algorithm that takes as input $x \in \{0,1\}^n$. Denote by $X_i$ the variable that evaluates to $1$ on input $x$ if the $i$-th bit of $x$ is 1, and $-1$ otherwise. Let $X_{\vec{i}}$ be the product of the variables whose indexes are in $\vec{i}$ (for instance : $X_{\overrightarrow{4,1,3}} = X_4X... |
I like the point-set topology definition of continuous function. It’s elegant, generalises well, and I think puts a bunch of things on firmer foundations than epsilon-delta definitions.
But it also confusing to some people. Why are open sets? Why is it that the
pre image of an open set under a continuous function is op... |
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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 ... |
I have reduced my solution of a 1D heat equation boundary value problem to the following:
$$W(z, t) = \sum_{n=1}^\infty b_n \sin(\lambda_n z) e^{-\lambda_n^2 \alpha t}$$
To get the coefficients $b_n$, I apply the initial condition that: $W(z, 0) = T_0$, which gives the Fourier Sine Series:
$$\sum_{n=1}^\infty b_n \sin(... |
If we consider the sequent calculus formalization of the positive fragment of the logic of ticket entailment (let's label the logic $LT_{+\leftarrow\rightarrow}^{\circ t})$, that is a Lindenbaum algebra, we have various axioms (classic sequent calculus axioms for substructural logics) and the following structural rules... |
Linear regression is a statistical modeling technique used to describe a continuous response variable as a function of one or more predictor variables. It can help you understand and predict the behavior of complex systems or analyze experimental, financial, and biological data.
Linear regression techniques are used to... |
If you need a pdf version of these notes you can get it here
The ray model of light we have been using in the last few lectures works well when light interacts with objects that are large compared to the wavelength. For objects that have features on the same or smaller length scale as the wavelength of the light we nee... |
Definition:Lattice (Group Theory) Definition
A (point)
lattice is a discrete subgroup of $\R^m$ under addition.
Let $\R^m$ be the $m$-dimensional real Euclidean space.
Let $\left\{ {b_1, b_2, \ldots, b_n}\right\}$ be a set of linearly independent vectors of $\R^m$.
A
lattice in $\R^m$ is the set of all integer linear c... |
Suppose we have the following random variables $X_1$, $X_2$,....$X_n$,.., that are $iid$ but we dont know what distribution they follow.
I know that the sample mean $\bar{X}$ is an unbiased estimator of the population mean. But, how can i prove that the square of the sample mean is an biased (or maybe unbiased) estimat... |
Yeah, this software cannot be too easy to install, my installer is very professional looking, currently not tied into that code, but directs the user how to search for their MikTeX and or install it and does a test LaTeX rendering
Some body like Zeta (on codereview) might be able to help a lot... I'm not sure if he doe... |
This week I was at ICDE’19 where I presented
Efficient Synchronization of State-based CRDTs (here’s a link to paper and slides).Following Pedro’s idea, and since the talk is still fresh, this post will be a transcript of it. Context
In Figure 1, I briefly explain the CRDT acronym. My previous post was just about that.
... |
Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger Systems
1.
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
2.
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
3.
HLM, CEMS, Academy of Mathematics and ... |
The theorem states that if $(v_1, ...,v_m)$ is linearly dependent in $V$ and $v_1 \neq 0$ then there exists $j \in \{2,...,m\}$ such that $v_j \in span(v_1,...,v_{j-1})$.
If $(v_1, v_2, ..., v_m)$ are linearly dependent, then by definition of linear dependence, at least one of these vectors can be expressed as a linear... |
Please answer all questions. Each short question is worth 10% of the grade and each long question is worth 30%. Good luck.
Short Questions
Suppose that
\(Y(t) = \text{exp}(g_At)F(\text{exp}(g_Kt)K(t), \text{exp}(g_Lt)L(t))\),
where \(F\) exhibits constant returns to scale. Suppose that \(\dot{L}(t)/L(t) = n\) and \(\do... |
I am confused as to when you use ΔU and when to use ΔH, I don’t really understand the difference. Is it that ΔU is used for closed systems whilst ΔH is used for open systems?
Is it that ΔU is used for closed systems whilst ΔH is used for open systems?
That's not quite correct.
Consider the case of a simple system: a vo... |
Does anybody have any good papers or references to explain the differences between the Heisenberg model and Ising model?
As the comments already suggest, this is more introductory textbook material. Parkinson and Farnell's "An Introduction to Quantum Spin Systems" (Springer Lecture Notes in Physics 816, 2010) might be ... |
I need to give the LL grammar for the language below and explain why the grammar is LL and what the value of $k$ should be:
$$L = \{ a^n c^m c^{n+m} : n \ge 1, m \ge 1 \}. $$
I have the following, but it works for $n \ge 0$ and $m \ge 0$. I'm not sure how to get rid of that case where $n$ and $m$ are 0.
$$ \begin{align... |
$\newcommand{\ket}[1]{\left|{#1}\right\rangle}$
Or... does this mean that the sphere is simply a graphical
representation of $\theta$ and $\phi$, while $\lvert 0\rangle$ and
$\lvert 1\rangle$ do not geometrically correspond to any vector on the
sphere? (but here it writes $\hat{z}=\lvert 0\rangle$ and
$-\hat{z}=\lvert ... |
Find the solution $u(x, t)$ to the 1-D heat equation
$$ u_t = c^2u_{xx}$$
with initial conditions
$$ u(x,0) = \begin{cases} \hfill 0 \hfill & \text{ if $x < 0$ } \\ \hfill u_0 \hfill & \text{ if $x > 0$} \end{cases} $$
The final answer should be expressed in terms of the error function, which is defined as:
$$ \frac 2 ... |
I have seen many times the $BF$ theory has non-trivial ground state degeneracy (typically on torus), but I can not see how the conclusion come out. Recently I found a paper by Hansson, Oganesyan and Sondhi,[Superconductors are topologically ordered] in which the superconductor is described by a Maxwell$-BF$ theory. The... |
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... |
The mistake is in what you're attempting to split. The pumping lemma says if $L$ is a regular language, there exists a number $m$ (the pumping length) such that every
string $x \in L$ can be be split into three parts, $x=pqr$ such that: $|pq| \leq m$ $|q| \geq 1$ $pq^{i}r \in L$ for all $i \in \mathbb{N}$
So it's the s... |
In the linear algebra found in Michael Artin's
Algebra, coordinates are not emphasized*.
You have a field (like $\mathbb{R}$ or $\mathbb{C}$), and your vector space (like $\mathbb{R}^n$ or $\mathbb{C}^n$) which you can multiply by elements of your field. This has to satisfy some big list of axioms, but no axiom mention... |
Ashok tries to prove Lorentz invariance of the Dirac equation. If the spinor follows the transformation rule $\Psi' = S\Psi$, then
$$ (i\gamma^\mu\partial_\mu-m)\Psi = 0\to (i\gamma^\mu\Lambda^\nu_{\;\mu}\partial'_\nu-m)S^{-1}\Psi = 0. $$
Afterwards he writes
$$ (i\Lambda^\mu_{\;\nu}\gamma^\nu\partial'_\mu-m)S^{-1}\Psi... |
Communities (6) Top network posts 106 Why “characteristic zero” and not “infinite characteristic”? 80 Check if a point is within an ellipse 63 A "fast" way for computing $ \prod \limits_{i=1}^{45}(1+\tan i^\circ) $? 50 AM-GM-HM Triplets 47 Proving : $ \bigl(1+\frac{1}{n+1}\bigr)^{n+1} \gt (1+\frac{1}{n})^{n} $ 44 What ... |
Please give your comment and help with the following exercise.
[=>]: Let $y_1, y_2 \in Y, y_1 \neq y_2$. Since $f$ is surjective, $y_1 = f(x_1), y_2 = f(x_2)$ for some $x_1,x_2 \in X$. Since $Y$ is Hausdorff, there exist in $Y$ open neighborhoods $N(y_1), N(y_2)$ of $y_1,y_2$ respectively, such that $N(y_1) \cap N(y_2)... |
Suppose that we have a random vector \(\mathbf{X}\).
\(\textbf{X} = \left(\begin{array}{c} X_1\\ X_2\\ \vdots \\X_p\end{array}\right)\)
with population variance-covariance matrix
\(\text{var}(\textbf{X}) = \Sigma = \left(\begin{array}{cccc}\sigma^2_1 & \sigma_{12} & \dots &\sigma_{1p}\\ \sigma_{21} & \sigma^2_2 & \dots... |
In many books, I see projectile motion caused by gravity when the object is in a state of free fall, so the velocity on the $y$ axis changes with respect to time and the velocity on $x$ axis is constant. But when the velocity on both the $x$ and $y$ axes change with respect to time, can the motion still be called proje... |
How do we find the coefficients \(\boldsymbol{e_{ij}}\) for a principal component? Section
The solution involves the eigenvalues and eigenvectors of the variance-covariance matrix \(Σ\).
Let \(λ_1\) through \(λ_p\) denote the eigenvalues of the variance-covariance matrix \(Σ\). These are ordered so that \(λ_1\) has the... |
Example 11-2: Places Rated Section
We will use the Places Rated Almanac data (Boyer and Savageau) which rates 329 communities according to nine criteria:
Climate and Terrain Housing Health Care & Environment Crime Transportation Education The Arts Recreation Economics
Notes The data for many of the variables are strong... |
L # 1
Show that
It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Last edited by krassi_holmz (2006-03-09 02:44:53)
IPBLE: Increasing Performance By Low... |
Example 11-3: Place Rated (after Standardization) Section Using SAS
The SAS program implements the principal component procedures with standardized data:
download the SAS Program here: places1.sasView the video explanation of the SAS code.
The output begins with descriptive information including the means and standard ... |
Assuming a square base of width $w$ with mass $M$, and a horizontal wind load $F_w$ at a height $h$, then the condition for static equilibrium is
$$\sum\tau = 0$$$$\tau_{wind} + \tau_{base} = 0$$
Since if the sign tips, it would rotate around the edge of the base, that's a convenient axis about which to compute the tor... |
Math question on Newton's method and detecting actual zeros
02-07-2017, 05:04 PM
Post: #1
Math question on Newton's method and detecting actual zeros
(Admins: If this is in the wrong forum, please feel free to move it)
This came up during a debugging process in which Newton's method (using backtracking linesearch) gave... |
We define a class of subsets of $\Omega$ to be a
Monotone Class $\mathcal{M}$ iff it has the following two properties:
$(1)$ if $A_i \in \mathcal{M}$ and $A_1 \subset A_2 \subset \dots $ then $\bigcup_{i\ge 1} A_i \in \mathcal{M}$
$(2)$ if $A_i \in \mathcal{M}$ and $A_1 \supset A_2 \supset \dots$ then $\bigcap_{i\ge 1}... |
Current browse context:
hep-th
Change to browse by: Bookmark(what is this?) High Energy Physics - Theory Title: Scheme-Independent Series Expansions at an Infrared Zero of the Beta Function in Asymptotically Free Gauge Theories
(Submitted on 3 Oct 2016 (v1), last revised 6 Dec 2016 (this version, v2))
Abstract: We cons... |
Definition: Weak convergence- If a sequence $x_n\in X$ converges weakly then if $x_n\to x_0$ then $\lim_{n\to\infty}f(x_n)=f(x_0)$ for $f\in X'$
Proposition: If a sequence converges by the norm then it converges weakly. Proof: $|f(x_n)-f(x_0)|=|f(x_n-x_0)|\leqslant ||f|||x_n-x_0||\to 0$ as $n\to\infty$.
Then my doubt a... |
Let $H \subseteq \Bbb R^n$.
Prove that $H$ is compact $\iff$ every cover $\{E_{\alpha}\}_{\alpha \in A}$ where $E_{\alpha}$'s are relatively open in $H$ has a finite subcovering.
$\bf{Solution \ trial:}$
For $\Rightarrow$
Suppose $H$ is compact.
Suppose $\{E_{\alpha}\}$ are relatively open covering of $H$. Since $\{E_{... |
S.3.1 Hypothesis Testing (Critical Value Approach)S.3.1 Hypothesis Testing (Critical Value Approach)
The critical value approach involves determining "likely" or "unlikely" by determining whether or not the observed test statistic is more extreme than would be expected if the null hypothesis were true. That is, it enta... |
Let $X_n(\Bbb{Z})$ be the simplicial complex whose vertex set is $\Bbb{Z}$ and such that the vertices $v_0,...,v_k$ span a $k$-simplex if and only if $|v_i-v_j| \le n$ for every $i,j$. Prove that $X_n(\Bbb{Z})$ is $n$-dimensional...
no kidding, my maths is foundations (basic logic but not pedantic), calc 1 which I'm pr... |
8.2.2.1.3 - Example: Milk
A study of 66,831 dairy cows found that the mean milk yield was 12.5 kg per milking with a standard deviation of 4.3 kg per milking (data from Berry, et al., 2013). Construct a 95% confidence interval for the average milk yield in the population.
First, let's compute the standard error:
\(SE=\... |
Rahman, Mohammad Mahbubur (1997)
Central limit theorem for some classes of dynamical systems. Masters thesis, Concordia University.
Text (application/pdf)1MB
MQ25986.pdf
Abstract
We consider a transformation T of the unit interval (0, 1) into itself which is piecewise $C\sp2$ and expanding. Using the spectral decomposi... |
If a graph with $n$ vertices has more than $\frac{(n-1)(n-2)}{2}$ edges then it is connected.
I am a bit confused about this question, since I can always prove that for a graph to connected you need more than $|E|>n-1$ edges.
Computer Science Stack Exchange is a question and answer site for students, researchers and pr... |
PCTeX Talk Discussions on TeX, LaTeX, fonts, and typesetting
Author Message murray Joined: 07 Feb 2006 Posts: 47 Location: Amherst, MA, USA
Posted: Wed Mar 15, 2006 10:53 pm Post subject: Y&Y TeX vs. MiKTeX with MathTimePro2 fonts I used updated fonts just prior to posting of 0.98.
Initially I had different page breaks... |
Could anyone help with this problem? Thanks
A joint density function is given as follows:
$$f(x,y) =\begin{cases}{} 0.125\cdot (x+y+1) \ \ \text{for} -1<x<1, 0<y<2 \\ 0, \text{otherwise} \end{cases}$$
Calculate $P(X>Y)$
Mathematics Stack Exchange is a question and answer site for people studying math at any level and p... |
I decided to follow a recent trend and ask a question about logarithmic integrals :)
Is there a closed form for this integral? $$\int_0^1\frac{\log(x)\log^2(1-x)\log^2(1+x)}{x}\mathrm dx$$
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.... |
I'm a mathematician interested in abstract QFT. I'm trying to undersand why, under certain (all?) circumstances, we must have $T^2 = -1$ rather than $T^2 = +1$, where $T$ is the time reversal operator. I understand from the Wikipedia article that requiring that energy stay positive forces $T$ to be represented by an an... |
Headquarters of Joint Institute for Nuclear Research in Dubna
The
Joint Institute for Nuclear Research, JINR (Russian: Объединённый институт ядерных исследований, ОИЯИ), in Dubna, Moscow Oblast (110 km north of Moscow), Russia, is an international research centre for nuclear sciences, with 5500 staff members, 1200 rese... |
$\newcommand{\ket}[1]{\left| #1 \right>}$ $\newcommand{bra}[1]{\left< #1 \right|}$
Talking about the partial measurement the professor defines the state $\ket \psi$ to be
$$\ket{\psi} = \sum_{i,j} a_{ij} \ket{e_i} \otimes \ket{f_j} $$
where $\ket{e_i} \in V$ and $\ket{f_j} \in W$ are orthonormal bases. Then he rewrites... |
K A ALY
Articles written in Bulletin of Materials Science
Volume 39 Issue 2 April 2016 pp 491-498
The present study deals with the effect of composition on the elastic and optical properties of Ge$_x$Se$_2$Sb$_{1−x}$ ($0.0 \le x \le 1.0$) glasses. The various elastic moduli of these glasses such as Young’s modulus ($Y$... |
R Shanker
Articles written in Pramana – Journal of Physics
Volume 52 Issue 5 May 1999 pp 493-502 Research Articles
The absolute doubly differential cross-sections (DDCS) for production of the thick-target X-ray bremsstrahlung spectra in collisions of 6.5 keV and 7.5 keV electrons with thick Hf target are measured. The ... |
Odd and Even Zeroes
In mathematics, the factorial of a positive integer number $n$ is written as $n!$ and is defined as follows:\begin{equation*} n! = 1 \times 2 \times 3 \times 4 \times \cdots \times (n-1) \times n = \prod _{i=1}^ n{i} \end{equation*}
The value of $0!$ is considered as $1$. $n!$ grows very rapidly wit... |
Let $X_n(\Bbb{Z})$ be the simplicial complex whose vertex set is $\Bbb{Z}$ and such that the vertices $v_0,...,v_k$ span a $k$-simplex if and only if $|v_i-v_j| \le n$ for every $i,j$. Prove that $X_n(\Bbb{Z})$ is $n$-dimensional...
no kidding, my maths is foundations (basic logic but not pedantic), calc 1 which I'm pr... |
Suppose there are $N$ people in a two-person game (in my case, Super Smash Bros. Melee), and imagine a simple model where the players have "skill levels" $s_i\in\mathbb{R}$ for $1\leq i\leq N$, and the probability person $i$ will win a game over person $j$ is
$$ \mathbb{P}(i\text{ wins over }j)=\sigma(s_i-s_j) $$
where... |
I'm tutoring a student, and we were trying to solve the following question:
Find the local extreme values of $f(x) = -x^2 + 2x + 9$ over $[-2,\infty)$.
According to the textbook, the local extreme values are essentially the peaks and the valleys in the graph of the function $f$, so basically where $f'(x) = 0$. This is ... |
Let $X_n(\Bbb{Z})$ be the simplicial complex whose vertex set is $\Bbb{Z}$ and such that the vertices $v_0,...,v_k$ span a $k$-simplex if and only if $|v_i-v_j| \le n$ for every $i,j$. Prove that $X_n(\Bbb{Z})$ is $n$-dimensional...
no kidding, my maths is foundations (basic logic but not pedantic), calc 1 which I'm pr... |
Mathematics and Science were invented by humans to understand and describe the world around us. A lot of mathematical quantities are used in Physics to explain the concepts clearly. A few examples of these include force, speed, velocity and work. These quantities are often described as being a scalar or a vector quanti... |
Two Types of Random Variables
A random variable [latex]\text{x}[/latex], and its distribution, can be discrete or continuous.
Learning Objectives
Contrast discrete and continuous variables
Key Takeaways Key Points A random variable is a variable taking on numerical values determined by the outcome of a random phenomeno... |
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... |
A particle moves along the x-axis so that at time t its position is given by $x(t) = t^3-6t^2+9t+11$ during what time intervals is the particle moving to the left? so I know that we need the velocity for that and we can get that after taking the derivative but I don't know what to do after that the velocity would than ... |
According to my book, the magnetic field in any location inside the toroid (the empty region inside the toroid circumference) is zero because if we consider a circular loop passing through that point, the magnetic field would be zero as there is no current inside that loop. If we use this logic for inside the solenoid ... |
By Ehrenfest Theorem we know that : $\frac{d \langle \Omega \rangle}{dt} =\langle[H,\Omega]\rangle $
Where $\Omega$ is an operator and $H$ is the Quantum Hamiltonian .
I would like to know what is wrong in the following steps:
\begin{equation} \frac{d \langle \Omega \rangle}{dt} := \frac{d\langle \psi | \Omega|\psi \ra... |
the article linked below is very instructive and advanced about real Clifford Algebras, and their relationship with Lorentz group. After a general introduction of a Clifford algebra, $\mathcal{Cl}(V,\Phi)$, over a real, finite dimensional vector space $V$ with a non-degenerate quadratic form $\Phi$ as the quotient alge... |
In a queuing system (M/M/1) with a finite packet capacity $z$, how do you determine the probability of packet loss if we assume that packets are dropped when the system is full? Packets arrive with a rate $\lambda$ and are served at rate $\mu$ (using the Poisson distribution).
My attempt at a solution:
Probability of p... |
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... |
This question already has an answer here:
How to find the factorial of a fraction? 5 answers
The TI-84 says 52.342777 but other calculators says domain error.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sig... |
It's widely belived that p-branes and Dp-branes are the same objects in string theory. P-branes are charged solutions of type IIB supergravity that have the topology of a black hole, one would expect to be able to construct the same black hole using a superposition of D-branes and to count the microstates to get a stat... |
@egreg It does this "I just need to make use of the standard hyphenation function of LaTeX, except "behind the scenes", without actually typesetting anything." (if not typesetting includes typesetting in a hidden box) it doesn't address the use case that he said he wanted that for
@JosephWright ah yes, unlike the hyphe... |
Let $(M,g)$ be a Riemannian manifold, $\nabla$ the Levi-Civita connection of $g$. A vector filed $V$ on $M$ is called a Killing field if for every $p\in M$ and every $X,Y\in T_p M$, $$ g(\nabla_X V, Y)+g(X,\nabla_Y V)=0 $$ Show that if $(M,g)$ is a compact Riemannian manifold, and $V$ is a Killing field, then the flow ... |
I have a number of measurements of the same quantity (in this case, the speed of sound in a material). Each of these measurements has their own uncertainty.
$$ v_{1} \pm \Delta v_{1} $$ $$ v_{2} \pm \Delta v_{2} $$ $$ v_{3} \pm \Delta v_{3} $$ $$ \vdots $$ $$ v_{N} \pm \Delta v_{N} $$
Since they're measurements of the ... |
I'm studying the holographic entanglement entropy (HEE) in this paper (Ryu-Takayanagi, 2006). In section 6.3 they compute the HEE for a segment in a 2D CFT. To do so, they obtain the corresponding geodesic in the bulk (in the Poincaré patch) and compute its length.
I understand all that process, but I'm having some tro... |
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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 ... |
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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 ... |
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Now showing items 1-10 of 24
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 ... |
Let me rearrange the logic of the Moyal Bracket that @ACuriousMind discussed neatly, by visiting a notional planet where people somehow discovered classical mechanics and quantum mechanics
independently; but suffered a terrible mental block that prevented them from appreciating there was a connection between the two, a... |
I was looking into statistical and quantum mechanics and their overlap but I can't seem to solve a basic question as to what a partition function,
$$Z = \frac{\exp\left(-\beta\hbar \omega/2\right)}{1 - \exp(-\beta\hbar \omega)} $$ looks like when the temperature goes to infinity, where $\beta = 1/kT$. When $T\to\infty$... |
Is there a way to find number of "different" solutions to the equation $xy +yz + zx = N$, given the value of $N$.
Note: $x,y,z$ can have only non-negative values.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to... |
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