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Sequence data can allow migration/transmission patterns (i.e. who infected whom) to be uncovered. Genetic samples yield trees: information about events ancestralto samples.
Can use a chemical reaction notation to describe rates and effects of possible events:
The parameters $\lambda$ and $\mu$ are probabilities per [ti... |
First, the Unruh and Hawking radiation aren't quite "the same thing". They have a similar origin and the Unruh radiation may be considered a flat space (large black hole) limit of the Hawking radiation.
Now, the near-horizon metric of an extremal black hole is $AdS_2\times S^2$ while for a non-extremal one, the $AdS_2$... |
$\underline{\bf Background}$
In 2005, Regev [1] introduced the Learning with Errors (LWE) problem, a generalization of the Learning Parity with Error problem. The assumption of this problem's hardness for certain parameter choices now underlies the security proofs for a host of post-quantum cryptosystems in the field o... |
Conway’s puzzle M(13) is a variation on the 15-puzzle played with the 13 points in the projective plane $\mathbb{P}^2(\mathbb{F}_3) $. The desired position is given on the left where all the counters are placed at at the points having that label (the point corresponding to the hole in the drawing has label 0). A typica... |
Consider the powers of $2$:
$$ \begin{array}{rcl} 2^1 & = & 2\\ 2^2 & = & 4\\ 2^3 & = & 8\\ 2^4 & = & 16\\ 2^5 & = & 32\\ 2^6 & = & 64\\ 2^7 & = & 128\\ 2^8 & = & 256\\ 2^9 & = & 512\\ 2^{10} & = & 1024\\ \end{array} $$
$$\cdots$$
They always end in $2$, $4$, $6$ or $8$, but we know little about their beginnings
Is the... |
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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 ... |
Search
Now showing items 1-3 of 3
D-meson nuclear modification factor and elliptic flow measurements in Pb–Pb collisions at $\sqrt {s_{NN}}$ = 5.02TeV with ALICE at the LHC
(Elsevier, 2017-11)
ALICE measured the nuclear modification factor ($R_{AA}$) and elliptic flow ($\nu_{2}$) of D mesons ($D^{0}$, $D^{+}$, $D^{⁎+}$... |
Zagreb Indices and Multiplicative Zagreb Indices of Eulerian Graphs 211 Downloads Citations Abstract
For a graph \(G = (V(G), E(G))\), let
d( u), d( v) be the degrees of the vertices u, v in G. The first and second Zagreb indices of G are defined as \( M_1(G) = \sum _{u \in V(G)} d(u)^2\) and \( M_2(G) = \sum _{uv \in ... |
Suppose we have a normally distributed node:
$\theta \sim N(\theta_0, \sigma_0^2)$ whose PDF will be referred to as $g(\theta)\,$.
We will make a decision among two choices. Our utility depends upon the value of $\theta$ and the choice we make. We assume that for each choice, the utility function is linear:
$U(1, \thet... |
In my last post, I covered the initial steps to setting up an LED projection system that can handle arbitrary LED locations. The LEDs were all constrained to a single strip, mostly because I can't commit to dedicating the LEDs to any single project and cutting the strip up. I wrapped the strip around a cylinder and was... |
I saw that curtain rods at my house were bent due to the weight of curtains on them and wondered whether a beam analysis can be carried out to verify its deformation under the load.
Here is a picture of the initially straight curtain rod without curtains.
And here is a picture of the bent curtain rod when curtains were... |
In this lecture notes by Ola Svensson: http://theory.epfl.ch/osven/courses/Approx13/Notes/lecture4-5.pdf, it is said that we don't know if Euclidean TSP is in NP:
The reason being that we do not know how to calculate square roots efficiently.
On the other hand there is this paper by Papadimitriou: http://www.sciencedir... |
A Remark on the Continuous Subsolution Problem for the Complex Monge-Ampère Equation 51 Downloads Abstract
We prove that if the modulus of continuity of a plurisubharmonic subsolution satisfies a Dini-type condition then the Dirichlet problem for the complex Monge-Ampère equation has the continuous solution. The modulu... |
"The Complexity of Songs" was a journal article published by computer scientist Donald Knuth in 1977, as an in-joke about computational complexity theory. The article capitalizes on the tendency of popular songs to devolve from long and content-rich ballads to highly repetitive texts with little or no meaningful conten... |
I’m currently taking a (meta)logic class. There are assigned problem sets. A lot of people either don’t know how to type logical symbols or else cannot be bothered to fight with Word. I’m a fan of LaTeX. I like it for several reasons, one of them being easy use of logical symbols.
There are a lot of guides to using LaT... |
I was reading about Ito's formula and Girsanov theorem, but I am still struggling to grasp how in reality these are combined to compute the price of an option. What are the main source to understand this topic in a very practical manner?
In a practical manner, here is how you get to the PDE of your option:
Use Girsanov... |
Assume that $y/ \log x \rightarrow \infty$ and that $y/x \rightarrow 0$. Then, from a conjecture by Montgomery and Soundararajan, we expect the number of primes in the interval $[x,x+y]$ to be normally distributed with mean $y/\log x$ and standard deviation $\sqrt{y(\log x/y)/(\log x)^2}$. But numerical testing produce... |
Current browse context:
physics.atom-ph
Change to browse by: Bookmark(what is this?) Physics > Atomic Physics Title: Sensitivity of isotope shift to distribution of nuclear charge density
(Submitted on 17 Jul 2019)
Abstract: It is usually assumed that the field isotope shift (FIS) is completely determined by the change... |
Two years ago I have written a post “Naughty APEs and the quest for the holy grail“, where I have discussed why percentage-based error measures (such as MPE, MAPE, sMAPE) are not good for the task of forecasting performance evaluation. However, it seems to me that I did not explain the topic to the full extent – the ti... |
Sample Quantiles
The generic function
quantile produces sample quantiles corresponding to the given probabilities. The smallest observation corresponds to a probability of 0 and the largest to a probability of 1.
Keywords univar Usage
quantile(x, …)
# S3 method for defaultquantile(x, probs = seq(0, 1, 0.25), na.rm = FA... |
David Mumford did receive earlier this year the 2007 AMS Leroy P. Steele Prize for Mathematical Exposition. The jury honors Mumford for “his beautiful expository accounts of a host of aspects of algebraic geometry”. Not surprisingly, the first work they mention are his mimeographed notes of the first 3 chapters of a co... |
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... |
I rarely saw any equation in physics which involved cube roots or odd roots.Even while solving problems I rarely saw any odd root or cube root.
So why nature prefers even powers of physical quantities?
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It onl... |
@DavidReed the notion of a "general polynomial" is a bit strange. The general polynomial over a field always has Galois group $S_n$ even if there is not polynomial over the field with Galois group $S_n$
Hey guys. Quick question. What would you call it when the period/amplitude of a cosine/sine function is given by anot... |
Hyperbolic--parabolic singular perturbation for mildly degenerate Kirchhoff equations: Global-in-time error estimates
1.
Dipartimento di Matematica, University of Pisa, Italy
2.
Dipartimento di Matematica Applicata, University of Pisa, Italy
$\varepsilon u_\varepsilon''+ u_\varepsilon'+m(|A^{1/2}u_\varepsilon|^2)Au_\va... |
Characterizing the Flow and Choosing the Right Interface
Fluid flow is involved in many engineering applications. In addition to typical CFD simulations, which replace experiments in wind tunnels, flow must also be considered in the cooling of electronic devices or in the chemical industry, where reacting species are t... |
Answer
$5.971$ $inches$
Work Step by Step
$Given,$ $r=\sqrt \frac{V}{\pi h}$ Squaring, $r^{2}=\frac{V}{\pi h}$ Thus, $h=\frac{V}{\pi r^{2}}$ $h=\frac{75}{4\pi}\approx5.971$ $inches$
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have
24 hours to s... |
$\newcommand{\I}{\mathbb{I}}\newcommand{\E}{\mathbb{E}}$Given our observed variables $x = \{x_i\}$, hidden variables $z = \{z_i\}$ and distribution parameters $\theta = \{(\mu_j, \sigma_j)\}$, let's define the
complete-data log-likelihood as$$\begin{align*}\ell_c(\theta) &= \sum_{i=1}^n \log \Pr[x_i, z_i|\theta] = \sum... |
I'm finding the integral $$\int_{0}^{\infty} \frac{\log(x)}{x^{3/4}(1+x)} dx $$ I do this by considering
$$ \oint_V \frac{\log(z)}{z^{3/4}(1+z)} \,dz$$
over the closed loop shown.
I take the limit as the radius of the larger circle tends to infinity and as the radius of the smaller circle tends towards zero. The integr... |
Numerical Blow-up Solutions for Nonlinear Parabolic Equations
Numerical Blow-up Solutions for Nonlinear Parabolic Equations
Abstract
This paper concerns the study of the numerical approximation for the following initial-boundary value problem:
\begin{equation} u_t(x,t)=(u^{m}(x,t))_{xx}+\alpha u^{p}(x,t),\quad x\in(0,1... |
EDIT:
Philip Ball has updated his article on Nature News, correcting the most serious of its errors. While everyone makes mistakes, few actually admit to them, so I think this action is rather praiseworthy. Correspondingly, I’m removing criticism of that mistake in my post.
Recently I have read an excellent essay by Ph... |
Conjugacy classes of finite index subgroups of the modular group $\Gamma = PSL_2(\mathbb{Z}) $ are determined by a combinatorial gadget : a
modular quilt. By this we mean a finite connected graph drawn on a Riemann surface such that its vertices are either black or white. Moreover, every edge in the graph connects a bl... |
An Inequality from Marocco,
with a Proof, or Is It? Statement
$1\le a,b,c,d\le 2.$ Prove that
$4|(a-b)(b-c)(c-d)(d-a)|\le abcd.$
Solution
Without lost of generality, we may assume $a\le b\le c\le d.$ If a pair of (cyclically) successive numbers are equal, the inequality obviously holds. So assume $1\le a\lt b\lt c\lt d... |
Is there anything reliable known about who actually discovered the Chebyshev polynomials and what the motivation and circumstances were?
The reason why I am interested in knowing, is that I needed a solution for a variant of those polynomials: instead of all extrema having the same magnitude, I wanted to have them atta... |
Consider a system of \(N\) classical particles. The particles a confined to a particular region of space by a ``container'' of volume \(V\). The particles have a finite kinetic energy and are therefore in constant motion, driven by the forces they exert on each other (and any external forces which may be present). At a... |
I want to show that if $(x,y)$ is a solution to the negative pell equation ($x^2-dy^2=-1)$, then $\frac{x}{y}$ is a convergent of the continued fraction expansion of $\sqrt{d}.$
I think it's easier to see the connection in the other direction. Here's a slightly imprecise way to see this. Let $[a_0; a_1, a_2, \dots]$ be... |
We saw that the icosahedron can be constructed from the alternating group $A_5 $ by considering the elements of a conjugacy class of order 5 elements as the vertices and edges between two vertices if their product is still in the conjugacy class.
This description is so nice that one would like to have a similar constru... |
I have this second-order differential equation:
$$x''(t) + \frac{1}{(\tau + t)}x'(t) + k^2x(t) = 0$$
I want to make the solution to this ODE amenable to a closed form Bessel function, and so a suggested way is to make a change of variables so that we can compare the differential equation above to the transformation equ... |
Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms
1.
Baku branch of M.V. Lomonosov Moscow State University, Universitetskaya st., 1, Xocasan, Binagadi district, Baku, AZ 1144, Azerbaijan
2.
M.V. Lomonosov Moscow State University, Moscow, 119991, Russian Federation
3.
I... |
Sigmoidal kinetic profiles are the result of enzymes that demonstrate
positive cooperative binding. cooperativity refers to the observation that binding of the substrate or ligand at one binding site affects the affinity of other sites for their substrates. For enzymatic reactions with multiple substrate binding sites,... |
A
microscopic state or microstate of a classical system is a specification of the complete set of positions and momenta of the system at any given time. In the language of phase space vectors, it is a specification of the complete phase space vector of a system at any instant in time. For a conservative system, any val... |
Difference between revisions of "Probability Seminar"
(→April 4, TBA)
(→April 11, Eviatar Procaccia, Texas A&M)
Line 89: Line 89:
== April 11, [https://sites.google.com/site/ebprocaccia/ Eviatar Procaccia], [http://www.math.tamu.edu/index.html Texas A&M] ==
== April 11, [https://sites.google.com/site/ebprocaccia/ Eviat... |
OpenCV 4.0.0
Open Source Computer Vision
This tutorial demonstrates to you how to use F-transform for image filtering. You will see:
As I shown in previous tutorial, F-transform is a tool of fuzzy mathematics highly usable in image processing. Let me rewrite the formula using kernel \(g\) introduced before as well:
\[ ... |
Category:Continuous Functions
This category contains results about Continuous Functions.
Let $f: A \to \R$ be a real function.
Let $x \in A$ be a point of $A$.
$\displaystyle \lim_{y \to x} \ f \left({y}\right) = f \left({x}\right)$
Let $f : \R \to \R$ be a real function.
Let $f: A \to \R$ be a real function.
Subcatego... |
If you look at the points of these toposes you get horribly complicated ‘non-commutative’ spaces, such as the finite adele classes $\mathbb{Q}^*_+ \backslash \mathbb{A}^f_{\mathbb{Q}} / \widehat{\mathbb{Z}}^{\ast}$ (in case of the arithmetic site) and the full adele classes $\mathbb{Q}^*_+ \backslash \mathbb{A}_{\mathb... |
How to Couple Radiating and Receiving Antennas in Your Simulations
In Part 3 of our series on multiscale modeling in high-frequency electromagnetics, let’s turn our attention to the receiving antenna. We’ve already covered theory and definitions in Part 1 and radiating antennas in Part 2. Today, we will couple a radiat... |
№ 9
All Issues Feller M. N.
Ukr. Mat. Zh. - 2012. - 64, № 11. - pp. 1492-1499
We present solutions of the boundary-value problem $U(0, x) = u_0, \;U(t, 0) = u_1$, and the external boundary-value problem $U(0, x) = v_0,\; U(t, x)|_{Γ} = v_1,\; \lim_{||x||_H→∞} U(t, x) = v_2$ for the nonlinear hyperbolic equation $$\frac... |
As you suggest in your question and Todd Trimble mentions in a comment, one interesting choice of morphism between Poisson manifolds is that of a coisotropic correspondence: if $M, M'$ are Poisson manifolds, depending on exactly how you work you either think about coisotropic submanifolds in $\bar M \times M'$, or maps... |
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Now showing items 1-10 of 76
Kaon femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
(Elsevier, 2017-12-21)
We present the results of three-dimensional femtoscopic analyses for charged and neutral kaons recorded by ALICE in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV. Femtoscopy is used to... |
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A number α∈R\alpha \in \mathbb{R}α∈R is called algebraic if there exists a polynomial p(x)p(x)p(x) with rational coefficients such that p(α)=0p(\alpha) = 0p(α)=0.
Let S⊂RS \subset \mathbb{R}S⊂R denote the set of algebraic numbers. Which of the following is true o... |
OpenCV 4.1.2-pre
Open Source Computer Vision
In this tutorial you will learn how to:
A Support Vector Machine (SVM) is a discriminative classifier formally defined by a separating hyperplane. In other words, given labeled training data (
supervised learning), the algorithm outputs an optimal hyperplane which categorize... |
1. In a previous section, we showed that matrix multiplication is not commutative, that is, [latex]AB\ne BA[/latex] in most cases. Can you explain why matrix multiplication is commutative for matrix inverses, that is, [latex]{A}^{-1}A=A{A}^{-1}?[/latex]
2. Does every [latex]2\times 2[/latex] matrix have an inverse? Exp... |
Difference between revisions of "Algebraic Geometry Seminar Fall 2016"
(→Botong Wang)
(→Fall 2016 Schedule)
Line 63: Line 63:
|TBA
|TBA
|Daniel and Jordan
|Daniel and Jordan
+ + + + +
|}
|}
Revision as of 15:39, 26 September 2016
The seminar meets on Fridays at 2:25 pm in Van Vleck B305.
Here is the schedule for the pr... |
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... |
Article
Keywords: replicated regression model; best unbiased estimators
Summary: The aim of the paper is to estimate a function $\gamma=tr(D\beta\beta')+tr(C\sum)$ (with $d, C$ known matrices) in a regression model $(Y, X\beta,\sum)$ with an unknown parameter $\beta$ and covariance matrix $\sum$. Stochastically indepen... |
For two particular (twelve-and thirteen-dimensional) sets of two-retrit states (corresponding to 9 x 9 density matrices with real off-diagonal entries), I have been able to calculate the Hilbert-Schmidt probabilities that members of the sets have positive partial transposes (the PPT property).
The first set is composed... |
For a typical macroscopic system, the total number of particles \(N \sim 10^{23}\). Since an essentially infinite amount of precision is needed in order to specify the initial conditions (due to exponentially rapid growth of errors in this specification), the amount of information required to specify a trajectory is es... |
OpenCV 4.0.0
Open Source Computer Vision
In this tutorial, the basic concept of fuzzy transform is presented. You will learn:
The presented explanation demands knowledge of basic math. All related papers are cited and mostly accessible on https://www.researchgate.net/.
In the last years, the theory of F-transforms has ... |
Peter Saveliev
Hello! My name is Peter Saveliev. I am a professor of mathematics at Marshall University, Huntington WV, USA.
My current projects are these two books:
In part, the latter book is about
Discrete Calculus, which is based on a simple idea:$$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \te... |
Contained in-between each level of the polynomial hierarchy are various complexity classes, including $\Delta_i^{\text{P}}$, $\text{DP}$, $\text{BH}_k$, and $\Sigma_i^\text{P} \cap \Pi_i^\text{P}$. For lack of better terminology, I will refer to these and any others as
intermediate classes between levels $i$ and $i+1$ ... |
Current browse context:
math
Change to browse by: Bookmark(what is this?) Mathematics > Differential Geometry Title: Spectral sections, twisted rho invariants and positive scalar curvature
(Submitted on 23 Sep 2013 (v1), last revised 25 Apr 2014 (this version, v3))
Abstract: We had previously defined the rho invariant ... |
pandas.Series.ewm¶
Series.
ewm(
com=None, span=None, halflife=None, alpha=None, min_periods=0, freq=None, adjust=True, ignore_na=False, axis=0)¶
Provides exponential weighted functions
New in version 0.18.0.
Parameters: com: float, optional
Specify decay in terms of center of mass, \(\alpha = 1 / (1 + com),\text{ for }... |
Commun. Math. Anal.
Volume 20, Number 1 (2017), 69 - 82
Nonlinear Eigenvalue Problem for the p-Laplacian
Nonlinear Eigenvalue Problem for the p-Laplacian
Abstract
This article is devoted to the study of the nonlinear eigenvalue problem
\begin{eqnarray*} % \nonumber to remove numbering (before each equation) -\Delta_{p}... |
Difference between revisions of "Geometry and Topology Seminar"
(→Spring Abstracts)
(→JingZhou Sun(Stony Broo))
Line 295: Line 295:
===Matthew Kahle (Ohio)===
===Matthew Kahle (Ohio)===
''TBA''
''TBA''
−
===JingZhou Sun(Stony
+
===JingZhou Sun(Stony )===
"TBA"
"TBA"
Revision as of 12:18, 3 January 2014 Contents 1 Fall ... |
The Oscar in the category The Best Rejected Research Proposal in Mathematics(ever) goes to … Alexander Grothendieck
for his proposal Esquisse d’un Programme, Grothendieck\’s research program from 1983, written as
part of his application for a position at the CNRS, the French
equivalent of the NSF. An English translatio... |
Definition:Square Number Contents Definition Square numbers are those denumerating a collection of objects which can be arranged in the form of a square. They can be denoted: $S_1, S_2, S_3, \ldots$ $\exists m \in \Z: n = m^2$
where $m^2$ denotes the integer square function.
Euclid's Definition
In the words of Euclid:
... |
It’s 0, except on the trivial cases where it is 1.
But clearly this is the wrong way to formulate the question, as there are interesting things to be said about the probabilities of infinite sequences of coin tosses. The situation is analogous to uniformly sampling real numbers from the $[0,1]$ interval: the probabilit... |
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... |
( previous, home, next )
Further reading
Statistics of deadly quarrels by Richardson, 1975. ISBN:0910286108
Zipf's law does not just apply to word-frequencies. It's been found to apply to city sizes, income distributions, social networks, and a variety of contexts.
One common form of data we might encounter in a study ... |
Exact Controllability of Semilinear Stochastic Evolution Equations
Exact Controllability of Semilinear Stochastic Evolution Equations
Abstract
In this paper we study the exact controllability of the following semilinear stochastic evolution equation in a Hilbert space $X$
$dx(t)=\{Ax(t)+Bu(t)+f(t,\omega,x(t),u(t)) \}dt... |
Learn what to expect in the new updates
The documentation for matplotlib is generated from ReStructured Text using the Sphinx documentation generation tool. Sphinx-1.0 or later and numpydoc 0.4 or later is required.
The documentation sources are found in the
doc/ directory inthe trunk. To build the users guide in html ... |
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... |
The quantity
pH, or "power of hydrogen," is a numerical representation of the acidity or basicity of a solution. It can be used to calculate the concentration of hydrogen ions [H +] or hydronium ions [H 3O +] in an aqueous solution. Solutions with low pH are the most acidic, and solutions with high pH are most basic. D... |
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Now showing items 1-10 of 26
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 ... |
Peter Saveliev
Hello! My name is Peter Saveliev. I am a professor of mathematics at Marshall University, Huntington WV, USA.
My current projects are these two books:
In part, the latter book is about
Discrete Calculus, which is based on a simple idea:$$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \te... |
ROTATIONAL ANALYSIS OF THE $A^{3}\Pi(1)-X^{1}\Sigma^{+}$ SYSTEM OF IC1 IN EMISSION AND IN ABSORPTION Issue Date:1978 MetadataShow full item record Publisher:Ohio State University Abstract:
Detailed rotational analyses have been made of the $A^{3}\Pi(1) \leftrightarrow X^{1}\Sigma^{+}$ system of ICl, both in emission an... |
Take the expression $\sum_{k=1}^\infty a_k$. Sometimes this expressions refers to the sequence of partial sums $\left(\sum_{k=1}^n a_k\right)_{n\in\mathbb N}$ and sometimes to the limit of this sequence $\lim_{n\to\infty} \sum_{k=1}^n a_k$ (when this limit exists). For example in the expression
The series $\sum_{k=1}^\... |
I am about halfway the most important part of Onsager's paper, so I'll try to summarize what I've understood so far, I'll edit later when I have more to say.
Onsager starts by using the 1D model to illustrate his methodology and fix some notations, so I'm gonna follow him but I'll use some more "modern" notations.
In t... |
The Monster is the largest of the 26 sporadic simple groups and has order
808 017 424 794 512 875 886 459 904 961 710 757 005 754 368 000 000 000
= 2^46 3^20 5^9 7^6 11^2 13^3 17 19 23 29 31 41 47 59 71.
It is not so much the size of its order that makes it hard to do actual calculations in the monster, but rather the ... |
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Now showing items 11-20 of 55
Long-range angular correlations of π, K and p in p–Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV
(Elsevier, 2013-10)
Angular correlations between unidentified charged trigger particles and various species of charged associated particles (unidentified particles, pions, kaons, protons a... |
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... |
for numerical working there is a useful rule which applies when the denominator polynomial is a product of distinct linear factors. suppose $f(x)=\frac{P(x)}{Q(x)}$ where $deg(Q)=n \gt deg(P)$ and $$Q(x) = \prod_{k=1}^n (x-\alpha_k)$$where the $\alpha_k$ are all different. then define $Q_k(x) = \frac{Q(x)}{(x-\alpha_k)... |
Here's the question:
Evaluate $\iint_{S} \boldsymbol{F} \cdot \boldsymbol{\hat{n}}$ if $\boldsymbol{F} = (x+y) \boldsymbol{\hat{i}} + x \boldsymbol{\hat{j}} +z \boldsymbol{\hat{k}}$ and $S$ is the surface of the cube bounded by the planes $x=0$,$x=1$,$y=0$, $y=1$, $z=0$ and $z=1$.
Here's my attempt: Suppose the faces w... |
A particle, traveling at $0.5c$ relative to a stationary observer, travels $3.95 \rm ~cm$ in its frame of reference.
What is the distance the particle travel in the observer's frame of reference?
Since $3.95 cm$ is the proper length (the distance it travels in its rest frame (which has to be its own frame since in its ... |
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... |
2019-06-21 12:21 [GSI-2019-00752] Report/Journal Article et al Exploring the sensitivity of gravitational wave detectors to neutron star physics [arXiv:1901.03885] ddc:530 Detailed record - Similar records 2019-06-14 13:20 [GSI-2019-00743] Report/Journal Article et al Evidence of a resonant structure in the $e^+e^-\to ... |
TL;DR: It depends on how you choose to measure entanglement on a pair of qubits. If you trace out the extra qubits, then "No". If you measure the qubits (with the freedom to choose the optimal measurement basis), then "Yes".
Let $|\Psi\rangle$ be a pure quantum state of 3 qubits, labelled A, B and C. We will say that A... |
Hiroshima Mathematical Journal Hiroshima Math. J. Volume 47, Number 2 (2017), 155-179. Bounds on Walsh coefficients by dyadic difference and a new Koksma-Hlawka type inequality for Quasi-Monte Carlo integration Abstract
In this paper we give a new Koksma-Hlawka type inequality for Quasi-Monte Carlo (QMC) integration. Q... |
I've got a fun question, which is somewhat testing my topology skills.
The space we're working with is $\mathbb{R} \rightarrow \mathbb{R}/\sim$, which sends $x$ to $[x] = \{y \in \mathbb{R}: x-y \in \mathbb{Q} \}$, and what I'm trying to show is that $\mathbb{R}/\sim$ isn't Hausdorff.
What I'm struggling with is provin... |
Let’s begin by choosing a simple quantitative problem requiring a single measurement—What is the mass of a penny? As you consider this question, you probably recognize that it is too broad. Are we interested in the mass of a United States penny or of a Canadian penny, or is the difference relevant? Because a penny’s co... |
In the OP's particular case, the situation is somehwat simpler than the general case that José discusses. That's because the family of left-invariant metrics on $\mathrm{SU}(4)$ that the OP wants to consider has special properties, although just how special does not become apparent until one looks at the problem from a... |
I know that this function ($g$ means coupling) is non-analytical in $g=0$, so this function is only appreciable under non-perturbative calculations, so is a non-perturbative phenomena.This function is present on many critical/cross temperatures like in Kondo problem and Superconductors. This functions happens in QCD, w... |
Peter Saveliev
Hello! My name is Peter Saveliev. I am a professor of mathematics at Marshall University, Huntington WV, USA.
My current projects are these two books:
In part, the latter book is about
Discrete Calculus, which is based on a simple idea:$$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \te... |
Given $N$ points $X_i$ in a metric spaceand a measure of "middleness"$ \qquad \qquad \mathsf{middle}( X_i ) \equiv
\frac{1}{N} \sum_j \mathsf{metric}( X_i, X_j ) $
can one find an $X_i$ near the middle of all $N$ points, i.e. roughly minimizing $\mathsf{middle}( X_i )$, in time and space both better than $O( N^2 )$ ? I... |
Hill's Equations
There's a name for objects in "toroidal orbits" - Hill's equations, in the "Hill's frame."
This paper:
Burns, R., McLaughlin, C., Leitner, J., & Martin, M. (2000). TechSat 21: formation design, control, and simulation. In Aerospace conference proceedings, 2000 IEEE (Vol. 7, pp. 19-25).
shows the three ... |
Tuned Mass Dampers
A Tuned Mass Damper (TMD) is a mechanical device designed to add damping to a structure for a certain range of exciting frequencies. The extra damping will reduce the movement of the structure to an acceptable level.
A tuned mass damper contains a mass that is able to oscillate in the same direction ... |
Article О динамике эндоморфизмов двумерного тора с одномерными базисными множествами
In this paper we consider endomorphisms given on 2-manifold satisfying axiom A. F. Przytycki obtained necessary and sufficient conditions for $\Omega$-stability of such endomorphisms. He also showed that in every neighborhood of an ome... |
Even a virtual course needs an opening line, so here it is :
Take your favourite $SL_2(\mathbb{Z}) $-representation Here is mine : the permutation presentation of the Mathieu group(s). Emile Leonard Mathieu is remembered especially for his discovery (in 1861 and 1873) of five sporadic simple groups named after him, the... |
Bound state solutions of Schrödinger-Poisson system with critical exponent
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
$\tag{P}\label{0.1} \begin{cases}- Δ u+V(x)u+K(x)φ u=|u|^{2^*-2}u, &x∈ \mathbb{R}^3,\\-Δ φ=K(x)u^2,&x∈ \mathbb{R}^3,\end{cases}$
$2^*=6 $
$\mathbb R^3$
$ K∈ L^{\f... |
Answer
80 degrees
Work Step by Step
We know that there are 180 degrees per pi radians. Thus, we find: $$=\frac{4\pi}{9} \ radians \times \frac{180^{\circ}}{\pi\ radians}=80^{\circ}$$
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