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On phaseless compressed sensing with partially known support
School of Mathematics, Tianjin University, Tianjin 300072, China
We establish a theoretical framework for the problem of phaseless compressed sensing with partially known signal support, which aims at generalizing the Null Space Property and the Strong Restri... |
Consider a $C^k$, $k\ge 2$, Lorentzian manifold $(M,g)$ and let $\Box$ be the usual wave operator $\nabla^a\nabla_a$. Given $p\in M$, $s\in\Bbb R,$ and $v\in T_pM$, can we find a neighborhood $U$ of $p$ and $u\in C^k(U)$ such that $\Box u=0$, $u(p)=s$ and $\mathrm{grad}\, u(p)=v$?
The tog is a measure of thermal resist... |
Using the solution from the_candyman
the_candyman (https://math.stackexchange.com/users/51370/the-candyman), Calculate the coordinates of the third vertex of triangle given the other two and the length of edges in the cheapest computational way, URL (version: 2017-02-22): https://math.stackexchange.com/q/2156910
Let $A... |
Calculate Pearson Correlation Confidence Interval in Python
import numpy as npfrom scipy import stats
Recently, many studies have been arguing that we should report effect sizes along with confidence intervals, as opposed to simply reporting p values (e.g., see this paper).
In Python, however, there is no functions to ... |
eISSN:
2163-2480 Evolution Equations & Control Theory
March 2016 , Volume 5 , Issue 1
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Abstract:
We discuss the notion of the well productivity index (PI) for the generalized Forchheimer flow of fluid through porous media. The PI characterizes the well capacity with respect to drain... |
ok, suppose we have the set $U_1=[a,\frac{a+b}{2}) \cup (\frac{a+2}{2},b]$ where $a,b$ are rational. It is easy to see that there exists a countable cover which consists of intervals that converges towards, a,b and $\frac{a+b}{2}$. Therefore $U_1$ is not compact. Now we can construct $U_2$ by taking the midpoint of eac... |
So far in my education career I have only met differential equations as small parts of courses on other stuff. Solving special cases as part of calculus, solving simple systems as a part of linear algebra. This coming semester I'm going to have two courses devoted entirely to differential equations, so I thought I woul... |
Integrate over the region in the first octant above the parabolic cylinder and below the paraboloid
I could not get the limits right even that I tried many one but I still could not get it
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.... |
Symbols:Greek/Pi Contents Pi
The $16$th letter of the Greek alphabet.
Minuscules: $\pi$ and $\varpi$ Majuscule: $\Pi$
The $\LaTeX$ code for \(\pi\) is
\pi .
The $\LaTeX$ code for \(\varpi\) is
\varpi .
The $\LaTeX$ code for \(\Pi\) is
\Pi .
$\pi$ $\map \pi x$ That is: $\displaystyle \forall x \in \R: \map \pi x = \sum_... |
April 15th, 2016, 09:42 PM
# 1
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Joined: Mar 2016
From: Nepal
Posts: 37
Thanks: 4
Explain Fourier transform please
I bumped into Fourier transform and from its applications I found it was very important for scientists. But I don't know why. I tried going through Wikipedia, but it didn't help. I really want to unde... |
Does there exist a continuous bijection from $(0,1)$ to $[0,1]$? Of course the map should not be a proper map.
No. If $f:(0,1) \to [0,1]$ were continuous and bijective, there would be a unique point $x \in (0,1)$ such that $f(x) = 1$. However, since $f$ is continuous, the intervals $[x - \varepsilon, x]$ and $[x, x + \... |
Loss Layers¶ class
HingeLossLayer¶
Compute the hinge loss for binary classification problems:\[\frac{1}{N}\sum_{i=1}^N \max(1 - \mathbf{y}_i \cdot \hat{\mathbf{y}}_i, 0)\]
Here \(N\) is the batch-size, \(\mathbf{y}_i \in \{-1,1\}\) is the ground-truth label of the \(i\)-th sample, and \(\hat{\mathbf{y}}_i\) is the corr... |
Two popular methods to find the bandwidth $latex {h}&fg=000000$ for the nonparametric density estimator are the plug-in method and the method cross-validation. The first one we will focus in the “quick and dirty” plug-in method introduced by Silverman (1986). In cross-validation we will minimize a modified version of t... |
We study separability problem using general symmetric informationallycomplete measurements and propose separability criteria in$\mathbb{C}^{d_{1}}\otimes\mathbb{C}^{d_{2}}$ and$\mathbb{C}^{d_{1}}\otimes\mathbb{C}^{d_{2}}\cdots\otimes\mathbb{C}^{d_{n}}$.Our criteria just require less local measurements and provide exper... |
B P Singh
Articles written in Pramana – Journal of Physics
Volume 3 Issue 2 August 1974 pp 61-73 Nuclear Physics
The structure of the low-lying states of
58Ni has been calculated in shell model by assuming an inert 56Ni core plus two valence nucleons in the p 3/2, f 5/2 and p 1/2 orbitals. The two-body matrix elements ... |
Spring 2018, Math 171 Week 3 Stopping/Non-Stopping times
Let \(T_1, T_2\) be stopping times for some Markov Chain \(\{X_n:n \ge 0\}\). Which of the following will also necessarily be stopping times? Prove your claims.
(Discussed) \(T_3=5\)
\(T_4=T_1 + T_2 + 1\)
(Discussed) \(T_5=T_1 + T_2 - 1\)
(Solution) \(T_5\) will ... |
What is critical velocity?
Critical velocity is defined as the speed at which a falling object reaches when both gravity and air resistance are equalised on the object.
The other way of defining critical velocity is the speed and direction at which the fluid can flow through a conduit without becoming turbulent. Turbul... |
Definition:Generating Function Contents Definition
Let $A = \left \langle {a_n}\right \rangle$ be a sequence in $\R$.
Then $\displaystyle G_A \left({z}\right) = \sum_{n \mathop \ge 0} a_n z^n$ is called the generating function for the sequence $A$. The definition can be modified so that the lower limit of the summation... |
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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... |
RTD From HwB RTD = Resistive Temperature Device
Common type of RTD is Pt-100, which is a temperature sensor made from platinum. Resistance varies with temperature. 100Ω at 0 °C.
Contents Pt-100
Temperature Resistance Pt-100
α=0.003750 °C
-1 Pt-100
α=0.003850 °C
-1 °C Ω Ω -200 19.9 18.5 -100 61.2 60.3 0 100 100 100 138 ... |
Computation Layers¶ class
ArgmaxLayer¶
Compute the arg-max along the channel dimension. This layer is only used in the test network to produce predicted classes. It has no ability to do back propagation.
tops¶
Blob names for output and input.
class
ChannelPoolingLayer¶
1D pooling over the channel dimension.
kernel¶
Def... |
Consider a $C^k$, $k\ge 2$, Lorentzian manifold $(M,g)$ and let $\Box$ be the usual wave operator $\nabla^a\nabla_a$. Given $p\in M$, $s\in\Bbb R,$ and $v\in T_pM$, can we find a neighborhood $U$ of $p$ and $u\in C^k(U)$ such that $\Box u=0$, $u(p)=s$ and $\mathrm{grad}\, u(p)=v$?
The tog is a measure of thermal resist... |
Here is the BCS state:
$$ \left|\Psi_\mathrm{BCS}\right\rangle = \prod_k \left( u_k - v_ke^{i \phi} c_{k\uparrow}^{\dagger} c_{-k\downarrow}^{\dagger}\right) \left|0\right\rangle.$$
When I develop the BCS state to understand what it means, I will have a state like this : \begin{align} \left|\Psi_\mathrm{BCS}\right\rang... |
4 2017-Spring 4.1 Paper 4.2 Problem 1
Let the three points be \((x_1,y_1); (x_2,y_2); (x_3,y_3)\) Expected area of the rectangle with sides parallel to the coordinate axes is: \(E[\big(\max{(x_1,x_2,x_3)}-\min{(x_1,x_2,x_3)}\big)\big(\max{(y_1,y_2,y_3)}-\min{(y_1,y_2,y_3)}\big)]\) where \(x_i ~ U(0,1)\), \(y_i ~ U(0,1)... |
I heard that friction depends only on the normal force but not on the contact area. Let's take a cube and a sphere which are of same weight (then normal force will also same ) but the force needed to move these two objects is different, why?
Let's look at this problem from the point of view of equations of motion, see ... |
Flow Completion Time (FCT) is probably the most important user-perceived metric. I wrote this post is to crystallize several ingredients of the line of related work.
Why FCT matters?
One has to differentiate between user-perceived metrics and metrics cared by the network operators. Users are mainly concerned about the ... |
What is the difference? I know there is the (almost) same question What's the difference between helicity and chirality? but when a particle is given as left-handed. Is it helicity or chirality?
When we consider spinors of the Lorentz group $SO(3,1)$, recall that the universal covering of $SO(3,1)^+$ (the component of ... |
The second is defined as the time it takes for 9,192,631,770 wavelengths of a certain transition of the cesium-133 atom to pass a fixed point. What is the frequency of this electromagnetic radiation? What is the wavelength?
Solution:
The frequency of this electromagnetic radiation is already given to us in the question... |
ISSN:
2155-3289
eISSN:
2155-3297 Numerical Algebra, Control & Optimization
2014 , Volume 4 , Issue 1
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Abstract:
Inspired by the results in [S. S. Dragomir and I. Gomm, Num. Alg. Cont. $\&$ Opt., 2 (2012), 271--278], we give some new bounds for two mappings related to the Hermite--Ha... |
ISSN:
2155-3289
eISSN:
2155-3297 Numerical Algebra, Control & Optimization
2014 , Volume 4 , Issue 3
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In this paper, we provide a robust control approach for controlling the autonomous bicycle kinematics with the objective of stabilizing the bicycle steer $\delta$ and roll... |
I cracked KCl and made two samples. One is a fine powder, another is a coarse powder. Using these samples, diffraction intensity was measured. The results were as followed.
[peak number, relative intensity (fine), relative intensity (coarse)]1: 100, 1002: 52, 353: 16, 104: 19, 145: 27, 126: 19, 87: 6, 38: 13, 6
By the ... |
While this does not answer the question asked (and will therefore not be accepted), I provide this response in hopes it will help others and promote worthwhile discussion.
David Baird provides a simple explanation for propagating the error through a linear least squares fit inIn his book Experimentation: An Introductio... |
Quadratic Expressions
A quadratic expression is a polynomial with degree two. Some examples of quadratic expressions:
\[1 - x + {x^2},\,\,\,\,\,\,{y^2} + 1,\,\,\,\,\,\, - 3{z^2}\]
Some examples of expressions which are not quadratic:
\[ - x + 2,\,\,\,\,3 + {y^3} - {y^2} + 1,\,\,\,\,{z^{10}} - 3\]
Note that for a polyno... |
A fibonacci number is a number in the sequence of numbers 1, 1, 3, 5, 8, 13, 21, 34, 55, ...... Each number in the sequence except the first two 1's, is got by adding the previous two terms.
Fibonacci sequence can therefore be defined as $a_{1}$ = $a_{2}$ = 1
$a_{n} = a_{n-1} + a_{n-2}$
, where n is a positive integer ... |
Hello one and all! Is anyone here familiar with planar prolate spheroidal coordinates? I am reading a book on dynamics and the author states If we introduce planar prolate spheroidal coordinates $(R, \sigma)$ based on the distance parameter $b$, then, in terms of the Cartesian coordinates $(x, z)$ and also of the plane... |
If you are expecting someone to solve the Kerr metric equations, you probably need to hire a professional mathematician; but if you want an approximation, we can make that happen. Lets start with some simple results and eventually work our way to advanced results.
Objective
Our objective is to calculate the maximum one... |
Category:Definitions/Integral Domains An integral domain $\struct {D, +, \circ}$ is: a commutative ring which is non-null with a unity in which there are no (proper) zero divisors, that is: $\forall x, y \in D: x \circ y = 0_D \implies x = 0_D \text{ or } y = 0_D$
that is (from the Cancellation Law of Ring Product of I... |
Errors in layer thicknesses and instability of the refractive indices of thin film materials are the main reasons of the deviations of experimental spectral characteristics of produced optical coatings from theoretical performances of corresponding multilayer designs.
Errors in layer thicknesses are inevitable even in ... |
When we come across real situations like " If the incomes of two persons is in the ratio 3 : 6 and their expenditures are in the ratio 2 : 5, find their income if both of them save Rs. 400." It is very difficult to solve this by trial and error method. It is more important now than ever before for everyone, specially t... |
This question already has an answer here:
I apologize I have asked this question before but it died and I just got around to working it out based on the suggestions so here it is.
Let the function $f$ be defined as $f$($x$,$y$,$z$) $=$ $x$$y$$z$
find the maximum and minimum values subject to the constraint: $g$($x$,$y$... |
i have the following exercice:
prouve the existence of $\psi_1 \in \mathcal{D}(\mathbb{R})$ such as $\psi_1(0)=0$ and $\psi_1'(0)=0$.
Let $\psi_0 \in \mathcal{D}(\mathbb{R})$ such as $\psi_0=1$ in $V(0)$, and let $\varphi \in \mathcal{D}(\mathbb{R})$ We note $f(x)= \varphi(x)-\varphi(0)\psi_0(x)- \varphi'(0)\psi_1(x)$ ... |
I'm trying to solve the following differential equation by using the method of Frobenius. I'm however, having some trouble in doing so, I was hoping someone could help me out.
$2ty''+(1+t)y'-2y=0$
ATTEMPT:First of all, we need to control if we can actually use Frobenius' method. By looking at $2ty''$ we can easily conc... |
So I was trying to prove that the characteristic of an integral domain is either $0$ or prime. I got stuck, so I searched for a proof and I came across the following proof online
Now I almost want to accept this proof, except for the following (possibly silly and pedantic) issue. In the above proof we know that $n_0 \i... |
I was wondering, what is the motivation behind the payoff of the cash swaptions being multiplied by the swap annuity? $$c(S_{\theta, T})=\sum_{i=\theta+1}^{T}\tau_i\frac{1}{{(1+S_{\theta,T}(\theta))}^{\tau_{\theta,i}}}$$ Why not using the classic one: $$A_{t} = \sum_{i=1}^{T} P_{t,T_i}\tau_i$$
Thank you in advance for ... |
I'm studying Classical Mechanics by Goldstein. I solved a problem but I have a question.
Pro 2.18
A point mass is constrained to move on a massless hoop of radius a fixed in a vertical plane that rotates about its vertical symmetry axis with constant angular speed ω. Obtain the Lagrange equations of motion assuming the... |
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1. Observation of a peaking structure in the J/psi phi mass spectrum from B-+/- -> J/psi phi K-+/- decays
PHYSICS LETTERS B, ISSN 0370-2693, 06/2014, Volume 734, Issue 37... |
2 2013-Spring 2.2 Problem 1
Given: \(E[X|Y]=X\ and \ E[Y|X]=X\)
To Show:
2.2.1 Part (a): \(P(X=Y)=1\)
\[ E[Y]=E[E[Y|X]]=E[X]=\mu_x \]
Thus, \(\mu_y=\mu_x\)
Also, \[ \begin{align} Cov(X,Y) &=E[XY]-E[X]E[Y]\\ &= E[E[XY|X]]-\mu_x^2\\ &= E[XE[Y|X]]-\mu_x^2\\ &= E[X^2]-\mu_x^2\\ &= \sigma_x^2 \end{align} \]
Repeating the ab... |
The pressure at the bottom of the Mariana Trench in the Pacific Ocean is $1090$ bar. What temperature will the two allotropes of tin be at equilibrium? Assume that the molar volume, energy, and entropy change does not vary with temperature.
Relevant data: Density of white tin: $7.287$ g/mL; Density of grey tin: $5.766$... |
This question already has an answer here:
Consider the following complex power series $$\sum_{n \geq 1} \frac{z^n}{n} \,\,\,\,\,\,\, z \in \mathbb{C}$$
It surely converges conditionally for $z=-1$ (for alternating series test) and for $z=1$ it diverges (it is the harmonic series).
My question is: how can one show that ... |
Type:Improvement Status:Closed Priority:Major Resolution:Fixed Affects Version/s:3.7 Fix Version/s:3.7 Component/s:Forum Testing Instructions: Log in as admin Create a site with 2 users (ensure both users have profile images set) Create a course with a forum and discussion Enrol the 2 users in the course Enable portfol... |
Contents 1 Math 181 Honors Calculus, Fall 2008, Prof. Bell 1.1 Did 'ya Know? 1.2 Getting started editing 1.3 Lecture Notes_MA181Fall2008bell 1.4 Extra Credit 1.5 Homework Help 1.6 Cross-subject Issues 1.7 Interesting Articles About Calculus and Math 1.8 Learn LaTeX_MA181Fall2008bell 1.9 Solution to Exams_MA181Fall2008b... |
Definition:Square/Function Contents Definition
Let $\F$ denote one of the standard classes of numbers: $\N$, $\Z$, $\Q$, $\R$, $\C$.
The
square (function) on $\F$ is the mapping $f: \F \to \F$ defined as: $\forall x \in \F: \map f x = x \times x$
where $\times$ denotes multiplication.
The
square (function) on $\F$ is t... |
Hello one and all! Is anyone here familiar with planar prolate spheroidal coordinates? I am reading a book on dynamics and the author states If we introduce planar prolate spheroidal coordinates $(R, \sigma)$ based on the distance parameter $b$, then, in terms of the Cartesian coordinates $(x, z)$ and also of the plane... |
Momentum is the product of mass and the velocity of the object. Any object moving with mass possesses momentum. The only difference in angular momentum is that it deals with rotating or spinning objects. So is it the rotational equivalent of linear momentum?
What is Angular Momentum?
If you try to get on a bicycle and ... |
I'm trying to find solutions for the Poisson equation under Neumann conditions, and have a couple of questions. More specifically, I'm interested in the gradient of the function $\phi(x)$ in a space $\Omega \subset \mathbb{R}^d$. (note that I'm only interested in the gradient. For my problem I do not care about $\phi(x... |
trying to determine if the series is conditionally convergent or divergent. $$\sum_{n = 1}^\infty \frac{2^{n^{2}}}{n!}$$ with n! i tried the ratio test on the series $$\frac{2^{(n+1)^{2}}}{(n+1)!} * \frac{n!}{2^{n^{2}}} = \frac{2^{2n+1}}{(n+1)} $$ which is > 1 as $n\to \infty$ and is overall divergent ? not sure if I a... |
Suppose that a polynomial $p(x,y)$ defined on $\mathbb{R}^2$ is identically zero on some open ball (in the Euclidean topology). How does one go about proving that this must be the zero polynomial?
WLOG suppose that the center of ball is the origin and write
$$ p(x,y)=\sum _{i,j=0}^ma_{i,j}x^iy^j $$
Plug in $x=y=0$. You... |
Loss Layers¶ class
HingeLossLayer¶
Compute the hinge loss for binary classification problems:\[\frac{1}{N}\sum_{i=1}^N \max(1 - \mathbf{y}_i \cdot \hat{\mathbf{y}}_i, 0)\]
Here \(N\) is the batch-size, \(\mathbf{y}_i \in \{-1,1\}\) is the ground-truth label of the \(i\)-th sample, and \(\hat{\mathbf{y}}_i\) is the corr... |
Wheel resistance to forward movement
According to wikipedia, rolling or wheel resistance to forward movement calculations can be simplified if the vehicle does not move fast, which is our case. Not having found the rolling resistance coefficient for a tire on grass, we take the one of sand, 0.3.
The rolling resistance ... |
Denote by $f$ a monotonically decreasing, convex function defined on $[0,\infty)$ that has a derivative $f'$ on $(0,\infty)$.
I would like to show that if $f(0)$ exists and is finite (and $\lim_{x \to 0} f(x) = f(0)$), then the right hand limit $f_+'(x) = \lim_{h \searrow 0} \frac{f(x+h)-f(x)}{h}$ exists and is finite ... |
In CP2K, Restrained Electrostatic Potential (RESP) charges can be fitted for periodic and nonperiodic systems. It is automatically decided by the program whether a periodic or nonperiodic RESP fit is carried out. If the electrostatic (Hartree) potential is periodic (i.e. a periodic Poisson solver is used), a periodic R... |
This may be overtly obvious or simple and I'm being very dense, but it's something that has been bothering me. I am confused about how correlation functions of generic spin operators work in 2-d CFTs. There is a formula that is quoted in many texts (e.g. diFrancesco's text, see section 5.1-5.2) for the four point funct... |
Briefly, we shall see the definition of a kernel density estimator in the multivariate case.
Suppose that the data is d-dimensional so that $latex {X_{i}=(X_{i1},\ldots,X_{id})}&fg=000000$. We will use the product kernel
$latex \displaystyle \hat{f}_{h}(x)=\frac{1}{nh_{1}\cdots h_{d}}\left\{ \prod_{j=1}^{d}K\left(\frac... |
Hello guys! I was wondering if you knew some books/articles that have a good introduction to convexity in the context of variational calculus (functional analysis). I was reading Young's "calculus of variations and optimal control theory" but I'm not that far into the book and I don't know if skipping chapters is a goo... |
Difference between revisions of "Inaccessible"
m (→Weakly inaccessible cardinal)
m (→Hyper-inaccessible and more: by)
(3 intermediate revisions by 2 users not shown) Line 3: Line 3:
Inaccessible cardinals are the traditional entry-point to the large cardinal hierarchy, although weaker notions such as the [[worldly]] ca... |
Existence of quasiperiodic solutions of elliptic equations on the entire space with a quadratic nonlinearity
1.
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States
2.
Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada
$\Delta u+{{u}_{yy}}+f(x,u) ... |
In mechanics, Poisson’s ratio is the negative of the ratio of transverse strain to lateral or axial strain. It is named after Siméon Poisson and denoted by the Greek letter ‘nu’, It is the ratio of the amount of transversal expansion to the amount of axial compression for small values of these changes.
What is Poisson’... |
H. O. Ibraheem
Search this author in Google Scholar
Methods Funct. Anal. Topology
24 (2018), no. 3, 207-239
Let $X$ be a locally compact Polish space. Let $\mathbb K(X)$ denote the space of discrete Radon measures on $X$. Let $\mu$ be a completely random discrete measure on $X$, i.e., $\mu$ is (the distribution of) a c... |
We summarize here the main ideas of the Newtonian model/approach by listing the (1) constructs, i.e., the “things” or ideas that are get “used” in the model, (2) the relationships–in mathematical or sentence form–that connect the constructs in meaningful ways, and (3) the ways of representing the relationships. Develop... |
In this paper we consider a variation of the Merton’s problem with added stochastic volatility and finite time horizon. It is known that the corresponding optimal control problem may be reduced to a linear parabolic boundary problem under some assumptions on the underlying process and the utility function. The resultin... |
Beer-Lambert Law derivation helps us to define the relationship of the intensity of visible UV radiation with the exact quantity of substance present. The Derivation of Beer-Lambert Law has many applications in modern day science. Used in modern-day labs for testing of medicines, organic chemistry and to test with quan... |
Spring 2018, Math 171 Week 2 Markov/Non-Markov Chains
(Discussed) Example 1.2 from the book (Ehrenfest Chain)
(Discussed) At \(t=0\) an urn contains \(N\) balls, \(M\) of which are red, \(N-M\) of which are green. Each day (\(t = 1, 2, \dots\)) a ball is drawn without replacement. Let \(X_n\) be the color of the ball d... |
The intersection of two groups $(U,\odot_U)$ and $(V,\odot_V)$ is first, and foremost, the
set $$ G = U \cap V \text{.}$$To turn this into a group, one would need to define a suitable operation $\odot_G$ on $G$. But where is that operation supposed to come from? Since $U$ and $V$ can be completely different groups, whi... |
Moving Charges Create Magnetic Fields
In the last section we learned that a magnetic field affects moving charges. By Newton’s third law, the moving charges must exert an equal and opposite force on whatever produced the \(\mathbf{B}\) field. In other words, the moving charge must create its own \(\mathbf{B}\) field! B... |
Fred Kline
Contact: fred.kline.98104ATgmailDOTcom
I donate regularly to the The OEIS Foundation.
When I look at the patterns, I can hear the wheels turning.
When I look at the math, I find out the hamsters have died.
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Assume that the underlying $S$ is some index, hence the risk-return $\mu=0$, where $S$ meets $$d S = \sigma S d W_t.$$
Let $V$ denote the price of the corresponding call option. To construct the related BS formula, I construct a portfolio $\Pi=V-\Delta S$, after setting a correct value of $\Delta$, I want the portfolio... |
It certainly can be done and the commonest method is simply to shove the Ansatz you cite into whatever the relevant wave equation is. When we do this with Maxwell's equations, this leads, with the
slowly varying envelope approximation (I'll say exactly what this is below), to the Eikonal equation, which is equivalent t... |
06/04/2011, 09:43 PM (This post was last modified: 06/04/2011, 10:26 PM by tommy1729.)
(06/04/2011, 01:13 PM)Gottfried Wrote: Sometimes we find easter-eggs even after easter...
For the alternating iteration-series
(definitions as copied and extended from previous post, see below)
we find a rational polynomial for p=4. ... |
Kepler's Laws of Planetary Motion/Third Law Contents Physical Law The square of the period of the orbit of a planet around the sun is proportional to the cube of its average distance from the sun. Proof $(1): \quad r = \dfrac {h^2 / k} {1 + e \cos \theta}$
where $k = G M$.
From Equation of Ellipse in Reduced Form: Cart... |
New option
Wavefront/Taper analysis is implemented. The new option allows you to estimate the influence of inhomogeneities of the deposition on the spectral characteristics and on the wavefront of the reflected/transmitted wave. The option is available at Analysis -->More-->Wavefront/Taper
Phase computations include to... |
Although it is well known that the Ward identities prohibit anomalousdimensions for conserved currents in local field theories, a claim from certainholographic models involving bulk dilaton couplings is that the gauge fieldassociated with the boundary current can acquire an anomalous dimension. Weresolve this conundrum... |
In my most recent research, I’m working on finding
for some kind of estimators. Therefore, to learn a little more and get my ideas clear, I’ll going to start a series of posts about the topic “Minimax Lower Bounds” .I pretend to make some review in the general method and introduce some bounds depending on the divergenc... |
Suppose I am pushing a box on table with $10$ N force due to friction it is not moving and if i applied $20$ N the box started accelerating. Then, how does the box apply $20$ N force on me?Well actually,I really know fundamental laws are certainly true.But from where the opposing force on us is coming?
closed as unclea... |
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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 ... |
Spring 2018, Math 171 Week 5 Reversibility/Detailed Balance Condition
Show that Ehrenfest’s chain is reversible. \[P(x,y)= \begin{cases}\frac{N-x}{N}, & \mathrm{if\ } y=x+1 \cr \frac{x}{N}, & \mathrm{if\ } y=x-1 \cr 0, & \mathrm{otherwise}\end{cases}\]
(Answer) Show KCC on simple cycles: All simple cycles are length 2,... |
If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Solution for 50t-4t^2=120 equation: 50t-4t^2=120
We move all terms to the left:
50t-4t^2-(120)=0
a = -4; b = 50; c = -120; Δ = b 2-4ac Δ = 50 2-4·(-4)·(-120) Δ = 580 The delta value is higher than zero, so the equati... |
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... |
Authors Index,
Methods Funct. Anal. Topology
22 (2016), no. 4, 295-310
We investigate general elliptic boundary-value problems in Hörmander inner product spaces that form the extended Sobolev scale. The latter consists of all Hilbert spaces that are interpolation spaces with respect to the Sobolev Hilbert scale. We pro... |
Authors Index,
Methods Funct. Anal. Topology
22 (2016), no. 4, 295-310
We investigate general elliptic boundary-value problems in Hörmander inner product spaces that form the extended Sobolev scale. The latter consists of all Hilbert spaces that are interpolation spaces with respect to the Sobolev Hilbert scale. We pro... |
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Anisotropic flow of inclusive and identified particles in Pb–Pb collisions at $\sqrt{{s}_{NN}}=$ 5.02 TeV with ALICE
(Elsevier, 2017-11)
Anisotropic flow measurements constrain the shear $(\eta/s)$ and bulk ($\zeta/s$) viscosity of the quark-gluon plasma created in heavy-ion collisions... |
For a given Hamiltonian with spin interaction, say Ising model $$H=-J\sum_{i,j} s_i s_j$$ in which there are no external magnetic field. The Hamiltonian is invariant under transformation $s_i \rightarrow -s_i$, so there are always two spin states with exactly same energy.
For the magnetization $M = \sum_i s_i$, we can ... |
I know that this question has been submitted several times (especially see How are anyons possible?), even as a byproduct of other questions, since I did not find any completely satisfactory answers, here I submit another version of the question, stated into a very precise form using only
very elementary general assump... |
ProjectedDensityOfStates¶ class
ProjectedDensityOfStates(
configuration, kpoints=None, projections=None, energies=None, energy_zero_parameter=None, bands_above_fermi_level=None, spectrum_method=None)¶
Class for calculating the projected density of states for a configuration.
Parameters: configuration(
BulkConfiguration... |
I'm having trouble in understanding Choquet-Bruhat's definition of a strongly causal spacetime ("GR and the Einstein Equations", OUP, sec. XII.10). Here she defines a strongly causal spacetime as a time-oriented Lorentz manifold $(M,g)$ such that
for any $x\in M$ and any neighbourhood $\Omega$ of $x$ there is a neighbo... |
Assume the limit $\lim_{x \to 0} f(1/x) = a$ exists. Let $\varepsilon > 0$. Now there exist $\delta > 0$ such that\begin{align}|x| < \delta & \implies |f(1/x) - a| < \varepsilon\,.\end{align}This is equivalent with$$|y| > 1/\delta \implies |f(y) - a | < \varepsilon\,.$$Thus for all $y \in (1/\delta, \infty)$ we have $f... |
It is well known that a parametric form of the parabola $y^2=4ax$ is $(at^2, 2at)$.
What are possible parametric forms of the general parabola $$(Ax+Cy)^2+Dx+Ey+F=0$$ ?
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 min... |
In mathematics, logarithmic functions is an inverse function to exponentiation. The logarithmic function is defined as
For x > 0 , a > 0, and a\(\neq\)1,
y= log
a x if and only if x = a y
Then the function is given by
f(x) = log
a x
The base of the logarithm is a. This can be read it as log base a of x. The most 2 comm... |
eISSN:
2163-2480 Evolution Equations & Control Theory
December 2015 , Volume 4 , Issue 4
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Abstract:
In this paper, an abstract nonsimple thermoelastic problem involving higher order gradients of displacement is considered with Dirichlet boundary conditions. We prove that the linear ... |
Polynomial equations are one of the major concepts of Mathematics, where the relation between numbers and variables are explained in a pattern. In Maths, we have studied a variety of equations formed with algebraic expressions. When we talk about polynomials, it is also a form of the algebraic equation.
What is a Polyn... |
I want to prove the following:
Let $(M,d)$ be a metric space. Let $A\subseteq V\subseteq M$.
1) $A$ is open in $V \Leftrightarrow A = C\cap V$ (for a certain open $C$ in $M$)
2) $A$ is closed in $V \Leftrightarrow A = C\cap V$ (for a certain closed $C$ in $M$)
Questions:
Could someone check the proof?
'
for a certain o... |
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