text stringlengths 256 16.4k |
|---|
TEXT
The TEXT function adds a text annotation to the current IDL Graphic.
Example
The following lines create the plot shown above.
x = 0.01*(FINDGEN(201))
p1 = PLOT(x, EXPINT(1, x), '2', YRANGE=[0,2])
p2 = PLOT(x, EXPINT(2, x), 'r2', /OVERPLOT)
p3 = PLOT(x, EXPINT(3, x), 'g2', /OVERPLOT)
t1 = TEXT(0.3, 1.6, $
'$E_n(z) ... |
Structure of a Stock Trading Strategy
As I understand it, Quantopian's objectives can all be expressed in broad lines of thought. Their prime objective is to maximize their multi-strategy portfolio(s). I view it as a short-term operation like trying to predict some alpha over the short-term (a few weeks to a few months... |
Features Introduction CodiMD is a real-time, multi-platform collaborative markdown note editor.This means that you can write notes with other people on your desktop, tablet or even on the phone.You can sign-in via multiple auth providers like GitHub and many more on the homepage. Workspace Modes Desktop & Tablet
Edit: ... |
Answer
$\mu = \frac{v^2}{gr} - tan(tan^{-1}(\frac{v_0^2}{rg}))$
Work Step by Step
We find the angle of the road based on the maximum posted speed. Thus, we obtain: $\theta = tan^{-1}(\frac{v_0^2}{rg})$ We also know: $ mgcos\theta \mu+mgsin\theta=\frac{mv^2}{r}$ Thus, we find an expression for $\mu$: $\mu=\frac{\frac{v^... |
Based on such demands, I designed a co-pilot which can:
Automatically clustering the clusters; Remove periodic boundary conditions and make the center-of-mass at $(0,0,0)^T$; Adjust the view vector along the minor axis of the aggregate; Classify the aggregate.
After obtaining clusters in step 1, we must remove periodic... |
Generally, all single bonds are said to permit free rotation while all double bonds are said to inhibit free rotation. This can actually be explained numerically as well: the rotation around the $\ce{O-O}$ bond in $\ce{H2O2}$ has an approximate rate constant of $2.0 \times 10^{8}~\mathrm{s^{-1}}$ while the rotation aro... |
a b c Y
0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0
How would you put this into a logical expression that shows Y's behaviour?
Computer Science Stack Exchange is a question and answer site for students, researchers and practitioners of computer science. It only takes a minute to sign up.Sign up to j... |
Hi good people!,
How do I go about finding the general term for the following sequence:
\({1\over3};{8\over9};1;{64\over81}\)
I have tested the sequence for Arithmetic, Geometric and Quadratic...but cannot determine which...please help...
Try the following:
\(1^3\frac{1}{3}; 2^3\frac{1}{3}^2;3^3\frac{1}{3}^3;4^3\frac{1... |
Let $(E,D)$ be a probabilistic encryption scheme with $n$-length keys (given a key $k$, we denote the corresponding encryption function by $E_k$) and $n+10$-length messages. Then, show that there exist two messages $x_0, x_1 \in \{0,1\}^{n+10}$ and a function $A$ such that
$$\mathrm{Pr}_{b \in \{0,1\}, k \in \{0,1\}^n}... |
Calculations
In this question, I solved for the stresses on an spacecraft passing close to a black hole's event horizon. There isn't some magical barrier that you go through around an event horizon, you just can't get out; you probably wouldn't even notice. I can use the same process to calculate the stresses that a pr... |
Skills to Develop
Solve an equation with constants on both sides Solve an equation with variables on both sides Solve an equation with variables and constants on both sides Solve equations using a general strategy Solve an Equation with Constants on Both Sides
You may have noticed that in all the equations we have solv... |
Equivalence of Definitions of Curvature
Jump to navigation Jump to search
Theorem $\kappa = \dfrac {\d \psi} {\d s}$
where:
Let $C$ be embedded in a cartesian plane.
$\kappa = \dfrac {y''} {\paren {1 + y'^2}^{3/2} }$
where:
$y' = \dfrac {\d y} {\d x}$ is the derivative of $y$ with respect to $x$ at $P$ $y'' = \dfrac {\... |
2019-10-11 14:20
TURBO stream animation /LHCb Collaboration An animation illustrating the TURBO stream is provided. It shows events discarded by the trigger in quick sequence, followed by an event that is kept but stripped of all data except four tracks [...] LHCB-FIGURE-2019-010.- Geneva : CERN, 2019 - 3. Registo deta... |
I apologize in advance for the length.
The equation $\sin x = (\log x)^{-1}$ has exactly one solution $x_n$ in the interval $(2\pi n,2\pi n + \pi/2)$ for $n \geq 1$, and the exercise (de Bruijn, Asymptotic Methods in Analysis, ch. 2) asks me to show that
$$ x_n = 2\pi n + (\log 2\pi n)^{-1} + O((\log 2 \pi n)^{-3}). $$... |
In the previous section, we evaluated limits by looking at graphs or by constructing a table of values. In this section, we establish laws for calculating limits and learn how to apply these laws. In the Student Project at the end of this section, you have the opportunity to apply these limit laws to derive the formula... |
2018-08-25 06:58
Recent developments of the CERN RD50 collaboration / Menichelli, David (U. Florence (main) ; INFN, Florence)/CERN RD50 The objective of the RD50 collaboration is to develop radiation hard semiconductor detectors for very high luminosity colliders, particularly to face the requirements of the possible u... |
An Unfinished Example
At the end of class today, someone asked if we could do another example of a partial fractions integral involving an irreducible quadratic. We decided to look at the integral
$$ \int \frac{1}{(x^2 + 4)(x+1)}dx. $$
Notice that $latex {x^2 + 4}$ is an irreducible quadratic polynomial. So when settin... |
Note that the usual problem, and quite difficult if you do not know what to expect, is slightly different, https://en.wikipedia.org/wiki/Vieta_jumping#Example_2
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
Define integer $k \geq 3$ as$$k = \frac{x^2+y^2-1}{xy}$$We are solving$$ x^2 - kxy + y^2 ... |
Let $\{S_n\}$ and $\{T_n\}$ be independent renewal processes with interrenewal distributions $F$ and $G$. Define$$N(t):=N_S(t) + N_T(t)=\sum_{n=1}^\infty \left[\mathsf 1_{(0,t]}(S_n) +\mathsf 1_{(0,t]}(T_n)\right]. $$Then the sequence of jump times of $N(t)$, $$U_n = \inf\{t: N(t)=n\} $$is not in general a renewal sequ... |
I'm writing an equation which contains a relatively long subscritps under a summation, which is just next to a bracket. The code is the following
$$\mu_j=\E(X_j)=\E\left( \sum_{i\in Pa(X_j)}\lambda_{ij}X_i+W_j\right) =\sum_{i\in Pa(X_j)}\lambda_{ij}\mu_i+v_j.$$
With the commands
\left,
\right the brackets are too big a... |
Practice Paper 4 Question 20
The
Csatian language has the following two rules: (i) \(B\) is a word, and (ii) if \(x\) is a word then \(BBBxxx\) is a word.
Give an expression for the number of \(B\)s in a valid word.
Suggest a third rule
(iii)such that all multiples of 3 \(B\)s are valid words, and the only other valid ... |
I've been studying Fourier series and in trying to compute the Fourier series for the function $f: (-\pi,\pi)\to \mathbb{R}$ given by $f(x)=|\sin x|$ I've found something quite strange that I'm not being able to understand what I've done wrong. First, the Fourier series is
$$F_{(-\pi,\pi)}[f](x)=\dfrac{a_0}{2}+\sum_{n=... |
For j=1/2 there are two states: m=+/- 1/2, and for j=3/2 there are 4 different m-states.The "weak" Zeeman effect just refers to a situation where the energy shift due to the magnetic field is small and can be treated with perturbation theory: the unperturbed Hamiltonian has split the l=1 level...
It's because the inter... |
Let $X$ be a real topological vector space, and let $X^*$ be the dual space to $X.$ Denote the dual pairing by $$\langle \cdot ,\cdot \rangle :X^{*}\times X\to \mathbb {R}.$$ For a function $f:X\to\mathbb{R}\cup \{\pm\infty\}$taking values on the extended real number line, the
convex conjugate$$f^{*}:X^{*}\to \mathbb {... |
Finding a Structure’s Best Design with Topology Optimization
Think about the first architects who designed a bridge above water. The design process likely included several trials and subsequent failures before they could safely allow people to cross the river. COMSOL Multiphysics and the Optimization Module would have ... |
Say we want to place n items on the real line. Let us denote the position of item i by $p_i$. We have interval constraints on the position $p_i$, i.e. we are given $l_i, r_i$ such that $l_i \le p_i \le r_i$. My problem is: given a specific item s, how do I compute the maximum gap possible to the right of s? By maximum ... |
I believe it is impossible in general to distinguish questions asked by a graduate student and those asked by a mathematician in a domain in which they are not specialist. Since the latter are allowed on MathOverflow, it would make little sense to disallow the former or relegate them elsewhither. It is hard to argue th... |
These exercises are not tied to a specific programming language. Example implementations are provided under the Code tab, but the Exercises can be implemented in whatever platform you wish to use (e.g., Excel, Python, MATLAB, etc.).
###Exercise 1: Forces acting on a charged particle and the equations of motion
Imagine ... |
bnelo12 writes (slightly paraphrased)
Can you explain exactly how $latex {1 + 2 + 3 + 4 + \ldots = – \frac{1}{12}}$ in the context of the Riemann $latex {\zeta}$ function?
We are going to approach this problem through a related problem that is easier to understand at first. Many are familiar with summing geometric seri... |
We know that $LCM(a,b)= [\frac{ab}{\ GCD(a,b)}]$. What about $LCM (a,b,c)$? Can anyone help us because our instructors doesn't know the ways and she just lay the problem on us. Thanks.
For 3 numbers, we have the relation
$$ LCM(a,b,c) = \frac{abc}{GCD(ab,bc,ca)} $$
The proof is as follows:
\begin{align} a | n \text{ an... |
Answer
$$-\sin35^\circ=\sin(-35^\circ)$$ 20 goes with A.
Work Step by Step
$$-\sin35^\circ$$ Recall the negative-angle identities for sines: $$\sin(-\theta)=-\sin\theta$$ Therefore, we can rewrite $-\sin35^\circ$ as follows: $$-\sin35^\circ=\sin(-35^\circ)$$ Looking at the choices, we see that 20 is matched with A. |
We can use the equation of a curve in polar coordinates to compute some areas bounded by such curves. The basic approach is the same as with any application of integration: find an approximation that approaches the true value. For areas in rectangular coordinates, we approximated the region using rectangles; in polar c... |
GMATPrepNow wrote:
At a certain school, the student to teacher ratio is 52 to 9. If 38 students and 11 teachers leave, which of the following COULD represent the number of students and teachers remaining at the school?
A) 532 students and 88 teachers B) 794 students and 162 teachers C) 1106 students and 225 teachers D)... |
So in my Linear Algebra course I was shown that we cannot directly use row reduction to invert a matrix over a commutative ring in general because the algorithm requires elements to be invertible (which is not always the case in a ring). Inverting a matrix with the formula $A^{-1} = det(A)^{-1}C^T$ is guaranteed to wor... |
My question is:
Has anyone constructed an $(\infty,2)$-category whose objects are (projective, maybe smooth, ...) varieties, and where the 1-morphisms from $X$ to $Y$ are given by $D^b_\infty\text{Coh}(X \times Y)$ (an $(\infty,1)$-enhancement of $D^b\text{Coh}(X \times Y)$)?
By "$(\infty,1)$-enhancement" I mean some $... |
Basic
Brilliance is the degree of "brightness" of a gemstone, resulting from light reflected from and refracted off the crown and pavilion facets. Brilliance is an overall visual perception based on the physical laws of refraction and reflection.
Figure \(\PageIndex{1}\): Total Internal Reflection in a Diamond. Light r... |
I'm not particularly fluent with LaTeX, but I need to generate a bunch of SVG files given the raw input LaTeX code. One way I found to do that was by using a Python script called "latex2svg", located here: https://github.com/tuxu/latex2svg.
I am able to do this successfully in Linux, but not in Windows, and I don't und... |
580 0 1. Homework Statement
Consider the following situation:
http://img206.imageshack.us/img206/9739/fbdow8.th.jpg [Broken]
The height of the incline is 'h'.
a) Find the net acceleration of the centre of mass of the combined system (of the incline and the block) relative to ground.
b) Find the speed of the incline whe... |
This notion is rarely discussed in Quantopian forums, yet, it can have some dramatic effects when carried out in an automated stock trading strategy.
A stopping time in a stochastic process is when a predetermined value or limit is reached for the first time. Say you buy some stock and set a one-sigma exit from your en... |
Answer
$$\cos300^\circ=\cos^2150^\circ-\sin^2150^\circ$$ 25 is matched with F.
Work Step by Step
$$\cos300^\circ$$ We rewrite $300^\circ$ as double the angle $150^\circ$. In detail, $$\cos300^\circ=\cos(2\times150^\circ)$$ This fact points to the use of the double identity for cosine, which states $$\cos(2A)=\cos^2A-\s... |
Let
T be a binary tree that is stored in the disk following the preorder layout.
For example if this is $T$:
then $T$ will be stored in the disk as follows:
10, 11, 0, 12, 13, 2, 7, 3, 14, 1, 15, 16, 4, 8, 17, 18, 5, 9, 6
Every node of the tree is a struct that stores the offset of the left child, the offset of the rig... |
I'm new to Linear Algebra and I'm having a hard time wrapping my head around linear transformations, specifically a rotation.
From Anton's book (Elementary Linear Algebra, 11th Edition) he states:
$T(e_1) = T(1,0) = (\cos\theta, \sin\theta)$
and
$T(e_2) = T(0,1) = (-\sin\theta, \cos\theta)$
and
$A = [T(e_1) | T(e_2)] =... |
Editorial
Find the first bus Serval can see in each route and find the earliest one. For each route, finding the first bus Serval sees can work in $$$O(1)$$$.
Or mark all the time no more than $$$\max(s_i,t+\max(d_i))$$$ which bus would come or there will be no bus, then search the nearest one.
Editorial
Fill in all th... |
Definition:P-adic Number/P-adic Norm Completion of Rational Numbers
Jump to navigation Jump to search
It is natural to
Definition Notes $i) \quad$there exists a distance-preserving monomorphism $\phi:\struct{\Q,\norm {\,\cdot\,}_p} \to \struct{\Q_p,\norm {\,\cdot\,}_p}$. $iii) \quad \struct{\Q_p,\norm {\,\cdot\,}_p}$ i... |
Difference between revisions of "Multi-index notation"
m (→Leibniz formula for higher derivatives of multivariate functions: typo)
m (Added category TEXdone)
Line 1: Line 1: + +
$\def\a{\alpha}$
$\def\a{\alpha}$
$\def\b{\beta}$
$\def\b{\beta}$
Latest revision as of 11:12, 12 December 2013 $\def\a{\alpha}$ $\def\b{\beta... |
So here this is a question related to the grid efficiency in MSN minesweeper.
$\begin{matrix}
\square & \square & B_1 & B_2 & B_3 & \square & \square\\
\cdots & 1 & 1 & 1 & 1 & 1 & \cdots \\
\cdots & 0 & 0 & 0 & 0 & 0 & \cdots
\end{matrix}$
Suppose that you have a line of 1s along a long enough edge (basically you do n... |
Gibbs free energy can be defined as: $$dG=VdP-SdT+\sum_i\mu_idn_i$$ where $\mu=(\frac{\partial G}{\partial n})_{P,T}$. Last term, $\sum_i\mu_idn_i$ allows for open systems to be considered (where $dn$ does not equal zero). However, this can also be used for state functions like enthalpy too: $$dH=TdS+VdP+\sum_i\mu_idn_... |
Skills to Develop
Understand linear, square, and cubic measure Use properties of rectangles Use properties of triangles Use properties of trapezoids
be prepared!
Before you get started, take this readiness quiz.
The length of a rectangle is 3 less than the width. Let w represent the width. Write an expression for the l... |
Line 1: Line 1: −
A concept from the theory of almost-periodic functions (cf. [[Almost-periodic function|Almost-periodic function]]); a generalization of the notion of a period. For a uniformly almost-periodic function <
img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a01195... |
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Series de Fourier aplicadas a problemas de cálculo de variaciones con retardo Series de Fourier aplicadas a problemas de cálculo de variaciones con retardo
(2012-03-22)
In this article we present an approximation of the minimizing function of the functional J[x]=\int_0^T F(t,X(t),X(t-... |
Solve Equations Using a General Strategy
Each of the first few sections of this chapter has dealt with solving one specific form of a linear equation. It’s time now to lay out an overall strategy that can be used to solve any linear equation. We call this the general strategy. Some equations won’t require all the steps... |
2019-09-20 08:41
Search for the $^{73}\mathrm{Ga}$ ground-state doublet splitting in the $\beta$ decay of $^{73}\mathrm{Zn}$ / Vedia, V (UCM, Madrid, Dept. Phys.) ; Paziy, V (UCM, Madrid, Dept. Phys.) ; Fraile, L M (UCM, Madrid, Dept. Phys.) ; Mach, H (UCM, Madrid, Dept. Phys. ; NCBJ, Swierk) ; Walters, W B (Maryland U... |
Database Dependencies
Reference work entry
First Online:
DOI:https://doi.org/10.1007/978-1-4614-8265-9_1236 Synonyms
Database constraints; Data dependency
Definition
For a relational database to be valid, it is not sufficient that the various tables of which it is composed conform to the database schema. In addition, t... |
Question from a Monopoly-like board game
If you have played Monopoly before you must have met situations where you really want to land on a certain grid for whatever reason (to grab a set of lands, to build houses etc) right? In that case the only thing you can do it to ride you luck and hope that you diced the right n... |
Based on such demands, I designed a co-pilot which can:
Automatically clustering the clusters; Remove periodic boundary conditions and make the center-of-mass at $(0,0,0)^T$; Adjust the view vector along the minor axis of the aggregate; Classify the aggregate.
After obtaining clusters in step 1, we must remove periodic... |
Key Concepts from Lecture 2 Reynolds Number
Reynolds number predicts the extent of turbulence in a fluid based on how fast the fluid is flowing, the geometry of the flow (how deep and wide it is, etc.), and the density and viscosity the of the fluid.
\[Re = \dfrac{\text{fluid inertial forces}}{\text{fluid viscous force... |
These are homework exercises to accompany Libl's "Differential Equations for Engineering" Textmap. This is a textbook targeted for a one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence.
Exercise 5.1.4: Find eigenvalues and eigenf... |
So first let me state my homework problem:
Let $X$ be a set, let $\{A_k\}$ be a sequence of subsets of $X$, let $B = \bigcup_{n=1}^{+\infty} \bigcap_{k=n}^{+\infty} A_k$, and let $C = \bigcap_{n=1}^{+\infty} \bigcup_{k=n}^{+\infty} A_k$. Show that (a) $\liminf_k\; {\xi_A}_{_k} = \xi_B$, and $(b)$ $\limsup_k \;{\chi_A}_... |
2019-10-09 06:01
HiRadMat: A facility beyond the realms of materials testing / Harden, Fiona (CERN) ; Bouvard, Aymeric (CERN) ; Charitonidis, Nikolaos (CERN) ; Kadi, Yacine (CERN)/HiRadMat experiments and facility support teams The ever-expanding requirements of high-power targets and accelerator equipment has highligh... |
In these notes (page 18, section 1.3.7)
1.3.7 Variables Over One Domain
When all the variables in a formula are understood to take values from the same nonempty set, $D$, it’s conventional to omit mention of $D$. For example, instead of $\forall x \in D \ \exists y \in D.\ Q(x, y)$
we’d write $\forall x \exists y.\ Q(x... |
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 ... |
That was an excellent post and qualifies as a treasure to be found on this site!
wtf wrote:
When infinities arise in physics equations, it doesn't mean there's a physical infinity. It means that our physics has broken down. Our equations don't apply. I totally get that
. In fact even our friend Max gets that.http://blo... |
I'd like to quote an answer from Stack Overflow by hstoerr which covers the problem nicely:That heavily depends on the structure of the search tree and the number and location of solutions.If you know a solution is not far from the root of the tree, a breadth first search (BFS) might be better. If the tree is very deep... |
Every day you are told which stocks performed best and which did not. Your stock trading program can monitor all those stocks and sort them out over whatever criteria you like. One would imagine that your stock ranking system would make you concentrate on the very best performers. However, when looking at long-term por... |
Maybe this is going to seem a lot more involved than it needs to be, but it is likely that complex methods are not the best way to attack an integral like this. Nonetheless, it is possible.
We consider the integral in the complex plane
$$\oint_C dz \frac{\log{(1+z^2)}}{1+z^2}$$
where $C$ is some contour to be determine... |
The ET radio signal at \(11\,{\rm GHz}\) was due to a Soviet satellite, LUX and others have found no dark matter directly, the LHC hasn't proven any deviation from the Standard Model whatsoever, and Tracy Slatyer now believes that the seemingly exciting Fermi bubbles arrive from some boring pulsars.
Signs of any progre... |
How many rectangular $m \times n$ $(0,1)$ matrix (where $n>m$) are there with prescribed row sums $r_i$ for $i=1$ to $m$ such that no two columns are the same.
The count of $m\times n$ binary matrices with specified row sums $r_i, i=1,\ldots,m$ and distinct columns can be expressed as a product:
$$ n! [1, 0, \ldots ,0]... |
As seawater freezes into sea ice, all of the dissolved constituents of the water become concentrated within the solid ice matrix that forms. Because it is more dense than seawater due to the high salt content, a lot of this ‘brine’ will drain from the ice by gravity. However, some brine remains in the ice down to −55°C... |
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True or False:
The product rule states that to multiply two exponents with the same base, we keep the base and multiply the powers. For example,
22×23=22×3. 2 ^ 2 \times 2 ^ 3 = 2 ^ { 2 \times 3 } . 22×23=22×3.
Simplify x8÷x2. \large x^8 \div x^2. x8÷x2.
Which of... |
Given the work of Turing and Feferman all arithmetical truths can be isolated through a transfinite progression of theories like $T_0=PA$, $T_{\beta+1}=T_β \ plus \ CON(T_\beta)$ and $T\lambda=\cup T\mu(\mu\prec\lambda)$ - when $\lambda$ is a limit ordinal - through all the recursive ordinals. What is the smallest ordi... |
Firstly I'll go over the definition of the derivative, and why the derivative of $x^n$ is $n x^{n-1}$. Then I'll try to explain what the derivative is trying to capture, and why the definition makes sense.
For a function $f(x)$, its derivative is defined as being $$f'(x) = \lim_{h\to0} \frac{f(x+h)-f(x)}{h}$$If you hav... |
Unitarily invariant norm and Q-norm estimations for the Moore--Penrose inverse of multiplicative perturbations of matrices
Juan Luo
Keywords:Moore-Penorse inverse; multiplicative perturbation; unitarily invariant norm; $Q$-norm
Abstract:
Let $B$ be a multiplicative perturbation of $A\in\mathbb{C}^{m\times n}$ given by$... |
Let $M$ be a closed connected manifold and fix a basepoint $q \in M$ and a Riemannian metric on $M$. Let $F(M)$ denote the orthonormal frame bundle of $M$. This is a principal $O(n)$-bundle over $M$ ($n = \dim M$). The homotopy sequence of this bundle reads $$\dots \to \pi_2(M,q) \to \pi_1(O(n),I) \to \pi_1(F(M),F_0) \... |
...and a few other deviations... ATLAS and CMS have combined their Higgs production-and-decay analyses and many numbers agree with the SM predictions within 2 sigma. However, numerous measured numbers don't agree so well. Fifth force:First, off-topic, Natalie Wolchover wrote a helpful article about the Hungarian claims... |
65 4 Homework Statement Two identical audio speakers, connected to the same amplifier, produce monochromatic sound waves with a frequency that can be varied between 300 and 600 Hz. The speed of the sound is 340 m/s. You find that, where you are standing, you hear minimum intensity sound a) Explain why you hear minimum-... |
A word (i.e., ordered string of letters) is
bifix-free provided it has no proper initial string and terminal string that are identical. For example, the word $ingratiating$ has bifix $ing$, but the word $ingratiate$ is bifix-free.
Let $a_n^{(q)}$ be the number of bifix-free words over a fixed $q$-letter alphabet. The g... |
Much has changed in the last month.
I moved to Rhode Island and began grad school. That’s a pretty big change. I’m suddenly much more focused in my studies again (undeniably a good thing), figuring out what I will do. Solid.
And I’m struggling to get acquainted with the curious structure of classes at Brown. There are ... |
Matrix factorization is a simple embedding model. Given the feedback matrix A \(\in R^{m \times n}\), where \(m\) is the number of users (or queries) and \(n\) is the number of items, the model learns:
A user embedding matrix \(U \in \mathbb R^{m \times d}\), where row i is the embedding for user i. An item embedding m... |
I'm trying to convert my Latex document + equations to word document and I'm using Mathtype. I've tried some of the .tex to word converts, htlatex etc and it just doesn't work and its going to be quicker to do it myself.
However all my latex documents use my own commands via "newcommand" so that I can change symbols th... |
How does one evaluate the following product if the set S happens to be empty?
\begin{aligned} f(n)= n \prod_{x \in S} \left(1-\frac{1}{x}\right) \end{aligned}
Is the value simply n or is it undefined (or zero)??
Thanks.
Edit: It seems rather odd that this question has been rated off-topic for lacking context or other d... |
By Dr Adam Falkowski (Résonaances; Orsay, France)
The title of this post is purposely over-optimistic in order to increase the traffic. A more accurate statement is that a recent analysis
of X-ray spectrum of galactic clusters claims the presence of a monochromatic \(3.5\keV\) photon line which can be interpreted as a ... |
Difference between revisions of "Demand/Dynamic User Assignment"
(link to gawron publication)
(using vtypes from additional file)
(14 intermediate revisions by 4 users not shown) Line 1: Line 1: + + + + + + + +
The tool '' {{SUMO}}/tools/assign/duaIterate.py '' can be used to compute the (approximate) dynamic user equi... |
At least three times now, I have needed to use that Hurwitz Zeta functions are a sum of L-functions and its converse, only to have forgotten how it goes. And unfortunately, the current wikipedia article on the Hurwitz Zeta function has a mistake, omitting the $varphi$ term (although it will soon be corrected). Instead ... |
I was consider the set of linear operators:
$$O_{a,k} = \frac{f(ax^k) - f(x)}{ax^k - x} $$'
Particularly I am looking for the closed forms of the eigenfunctions of this operator, that is the functions f (dependent on parameters, a,k,x) such that
$$ O_{a,x}(f) = f$$
Work So Far:
It's trivial to show that $O_{a,k}(c) = 0... |
What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are drawn on the same piece of paper?
What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are drawn on the same piece of p... |
4.2: Maxima and Minima Exercises
90) In precalculus, you learned a formula for the position of the maximum or minimum of a quadratic equation \(y=ax^2+bx+c\), which was \(m=−\frac{b}{(2a)}\). Prove this formula using calculus.
91) If you are finding an absolute minimum over an interval \([a,b],\) why do you need to che... |
Recently there are a series of electronic games mainly on mobile platforms that collects various cards for the game system. There can be a lot of variation on the game like tower defence, card battling, action shooting etc. but these aren't really important. They can all characterized to be a card collection game (CCG)... |
To understand the complexity of the randomized algorithm, you must delve into the implementation details.
Suppose $S_1,S_2$ consist of $m$ elements, each bounded by $n$ in absolute value, i.e. the input size is $O(m\log n)$. Let $P_S=\prod\limits_{w\in s}\left(x-w\right)$ be the polynomial corresponding to the set $S$.... |
Conveners Quark & Lepton Flavor J Michael Williams (Massachusetts Inst. of Technology (US)) Wolfgang Altmannshofer (UC Santa Cruz) Bertrand Echenard (California Institute of Technology (US)) Brian Beckford (University of Michigan) Quark & Lepton Flavor J Michael Williams (Massachusetts Inst. of Technology (US)) Bertran... |
On a well-posed turbulence model
1.
University of Pittsburgh, Department of Mathematics, Pittsburgh, PA 15260, United States
2.
Université Rennes 1, IRMAR, UMR CNRS 6625, F-35000 Rennes, France
$\overline{u u} $˜ $\overline{\bar {u} \bar {u}}$,
yielding the model
$\nabla \cdot w= 0, \quad w_{t} + \nabla \cdot (\overlin... |
Hi,
We consider subspaces of $\mathbb{R}^N$. Suppose that we have a property called $\mbox{Prop}$ that apply to subspaces of $\mathbb{R}^N$. That is to say a function from the set of subspaces of $\mathbb{R}^N$ into $\{0,1\}$.
The variables $X_1,\dots,X_N$ are gaussian taking their values in $\mathbb{R}^N$. They are su... |
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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... |
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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 ... |
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Now showing items 1-10 of 32
The ALICE Transition Radiation Detector: Construction, operation, and performance
(Elsevier, 2018-02)
The Transition Radiation Detector (TRD) was designed and built to enhance the capabilities of the ALICE detector at the Large Hadron Collider (LHC). While aimed at providing electron... |
Consider the
rational function
\[f(x)=\dfrac{x^2−6x−7}{x−7} \nonumber \]
The function can be factored as follows:
\[f(x)=\dfrac{\cancel{(x−7)}(x+1)}{\cancel{x−7}} \nonumber \]
which gives us
\[f(x)=x+1,x≠7. \nonumber \]
Does this mean the function \(f(x)\) is the same as the function \(g(x)=x+1?\)
The answer is no. Fun... |
I’ve come to realize that I’m always tempted to start my posts with “Recently, I’ve…” or “So and so gave me such and such a problem…” or “I happened across this on…” It is as if my middle school English teachers (all of whom were excellent) succeeded so well in forcing me to transition from one idea to the next that I ... |
If a poster includes in the title some formula in enclosed between
$$, like
$$x^2+y^2=z^2$$$$x^2+y^2=z^2$$the title of the question will take up more space in various lists of questions, like here or here. I guess that we can agree that this is not a good way to use MathJax (LaTeX) in titles.
A user posting such questi... |
I have given a selfdefined command like
\newcommand{\AND}[2]{\left(#1 \vee #2 \right)}
which makes sure that I always give the correct number of parameters to my formula and which handles the parentheses as well. Now, when I use this command in a
align environment and the arguments become very long, then a linebreak be... |
Assume that $\Gamma$ is a group with neutral element $e$. We associate to $\Gamma$ the following groupoid $G$:
$G=\Gamma \times \Gamma,\;\;\;G^{(0)}=\Gamma \times \{0\},\;\;s(a,b)=(a,e),\;\;\; r(a,b)=(ba, e)$
If $\phi:\Gamma_{1}\to \Gamma_{2}$ is a group isomorphism, then $\tilde{\phi}:G_{1} \to G_{2}$ with $\tilde{\ph... |
That was an excellent post and qualifies as a treasure to be found on this site!
wtf wrote:
When infinities arise in physics equations, it doesn't mean there's a physical infinity. It means that our physics has broken down. Our equations don't apply. I totally get that
. In fact even our friend Max gets that.http://blo... |
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