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Chapter 4 Bits and Bytes
In base 10, {$\frac{1}{3} $} has issues..... 0.33333333333 is only approximately equal to {$\frac{1}{3} $} -- to be exact, there shouldn't be an end to those repeating 3's. There is similar trouble in all bases, even base two. Try 4.35*100 for example....shouldn't that be 435.0? Try it.... Use ... |
I have this problem:
Given a collection of sets $S:\{S_{1},...,S_{k}\}$ where each set $S_{j}$ is a subset of $U:\{e_{1},...,e_{n}\}$ universe of elements. I would find-out a subset $C \subseteq S$ such that I maximize the function $f(C)=|\cup_{\forall C_{j} \in C} C_{j}|$ and minimize the function $g(C)=\sum_{\forall ... |
This question already has an answer here:
Mathematica Sec and Csc 3 answers
I am writing a code to compute some matrix quantities. The result involves
Sec and
Csc functions, and I want a form displayng
only
Sinand
Cos. I have already seen this question, but the solution suggested does not solve my problem, since I get ... |
Chapter 8 Designing Classes Demos Review Exercises R8.1
Users place coins in a vending machine and select a product by pushing a button. If the inserted coins are sufficient to cover the purchase price of the product, the product is dispensed and change is given. Otherwise, the inserted coins are returned to the user.
... |
Fit Determinantal Point Process Model
Fit a determinantal point process model to a point pattern.
Usage
dppm(formula, family, data=NULL, ..., startpar = NULL, method = c("mincon", "clik2", "palm"), weightfun=NULL, control=list(), algorithm="Nelder-Mead", statistic="K", statargs=list(), rmax = NULL, covfunargs=NULL, use... |
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__NOTOC__
__NOTOC__
−
=
Spring 2019 = +
= 2019 =
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted.
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted.
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[mailto:join-probsem@lists.wisc.edu join... |
The largest circle that can be drawn on the sphere surface is the great circle. The shortest distance between any two points on the sphere surface is the Great Circle distance. Historically, the Great circle is also called as an Orthodrome or Romanian Circle. The diameter of
The diameter of any sphere coincides with th... |
Constraint-based structure learning is one of the few classes of algorithms for Bayesian network structure learning. Structure learning is the process of reconstructing the Bayesian network from a data set. Constraint-based structure learning is an intuitive process but can be very sensitive to individual failures.
The... |
In this section we will see a useful method for approaching a problem that cannot be solved analytically and in the process we will learn why a product wavefunction is a logical choice for approximating a multi-electron wavefunction.
The helium atom Hamiltonian is re-written below with the kinetic and potential energy ... |
I have a velocity field and I want to get a pressure field. In my experiment we're controlling the pressure at the inlet and the outlet. I have Dirichlet boundary conditions at the inlet and outlet and I'm applying Neuman boundary conditions at the vertical walls. To derive the hydraulic pressure map, I'm taking the di... |
In the formula, the stock return is modelled as a brownian motion that is a drift + a stochastic term, ok I get that. But the drift term is then modelled as r - volatility ^ 2 / 2. I am not sure how they derive this "volatility ^ 2 / 2". Is this derived out of the Ito Lemma??
This drift comes from making the discounted... |
To Explain the World
The Discovery of Modern Science
Steven Weinberg, Bvtn 509 Wei, 2015 Harper Collins
Steven Weinberg is a theoretician who does physics with mathematics, not measurement. This book is about the development of mathematical explanations for observations, not how those observations are made or validated... |
Advanced topics in information theory From CYPHYNETS
(→Aug 18: Multiple access channels, network coding techniques)
(→Aug 18: Multiple access channels, network coding techniques)
Line 103: Line 103: -
<math>a=123343534534957349579347593475893475934875893475983457934785+\min_{p(x, \hat{x}), \sum p(x; \hat{x}) d(x; \hat{... |
I'm trying to understand BRST complex in its Lagrangian incarnation i.e. in the form mostly closed to original Faddeev-Popov formulation. It looks like the most important part of that construction (proof of vanishing of higher cohomology groups) is very hard to find in the literature, at least I was not able to do so. ... |
A polygon is a two-dimensional (2-D) closed figure made up of straight line segments. In geometry, hexagon is a polygon with 6 sides. If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon. In other words, sides of a regular hexagon are congruent.
There... |
I am trying to calculate the radial wavefunction for a spherical stepped potential of arbitrary lengths and heights, but am running into a numerical issue concerning exponentially growing and shrinking functions.
For a potential with arbitrary regions and steps, the solution comes from solving a matrix representing bou... |
Newform invariants
Coefficients of the \(q\)-expansion are expressed in terms of \(\beta = \frac{1}{2}(1 + \sqrt{17})\). We also show the integral \(q\)-expansion of the trace form.
For each embedding \(\iota_m\) of the coefficient field, the values \(\iota_m(a_n)\) are shown below.
For more information on an embedded ... |
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Now showing items 1-2 of 2
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 ($D^{0}$, $D^{+}$, $D^{⁎+}$... |
What is the proof that any given unitary matrix can be converted as above?
Let $U$ be an arbitrary $2\times 2$ unitary matrix. This is equivalent to the rows/columns of $U$ forming an orthonormal system.
Let us write a generic $U$ as$$U=\begin{pmatrix}a&b\\c&d\end{pmatrix}.$$The constraints imposed on the coefficients ... |
The short answer is that such numbers $N$ (that are generated pseudo-randomly) have to be infeasibly large, even if you accept numbers that might be only partially hard to factor.
Define a
b-smooth integer as an integer with only primes less than $2^b$ in its factorization. Observe that all integers less than $2^b$ are... |
Find a sequence $f_n,$ bounded in $L^1([0,1]),$ and $f\in L^1,$ such that $$\lim_{n\to \infty}\int_0^x f_n=\int_0^x f$$ for all $x\in [0,1],$ and such that$\{f_n\}$ does not converge weakly to $f$ in $L^1$
Below is my attempt:
let $$f_n(x)=2n\chi_{[0,1/n]}(x)$$ then $f_n \in L^1([0,1])$, for all $x$ with $\int_{[0,1]} ... |
I have the following piece of code:
\documentclass{article}\oddsidemargin 43pt\textheight 20.4 cm\textwidth 14.0 cm\parskip 6.8 pt\parindent 12 pt\usepackage{mathtools}\begin{document}\begin{table}[h]\hrule\begin{align}\label{E}\tag{E}&\text{Axioms:} &&s =t &&&\text{for all equations $s=t$ in $E$}\\[0mm]\label{Ref}\tag... |
Energy for Future Presidents
Physics for Future Presidents
Notes inspired by the books. Work in progress, I will inform Dr. Muller when more complete.
Better explanation of CO2 warming based on adiabatic cooling with altitude
The usual explanation of increased CO2 "thickening" the atmosphere is easy but wrong. It attra... |
Let's see. There are two observations one needs to make in order to "arrive" to F-theory. Let's go back to type IIB string theory and take the lowe energy sugra 7-brane solutions. These 7-branes have an harmonic function that depends logarithmically on the transverse distance from the brane, something distinct to these... |
№ 9
All Issues Shchedrik V. P. Bezout rings of stable ranк 1.5 and the decomposition of a complete linear group into its multiple subgroups
Ukr. Mat. Zh. - 2017. - 69, № 1. - pp. 113-120
A ring $R$ is called a ring of stable rank 1.5 if, for any triple $a, b, c \in R, c \not = 0$, such that $aR + bR + cR = R$, there ex... |
Region Less One Point is Region Theorem
Let $R \subseteq M$ be a region of $M$.
Let $x \in R$.
Then $R \setminus \left\{ {x}\right\}$ is also a region of $M$.
Proof First, note that as $R$ is open it can not be a singleton from Finite Subspace of Dense-in-itself Metric Space is not Open.
Therefore $R \setminus \left\{{... |
Definition:Strict Upper Closure/Element Definition
Let $\left({S, \preccurlyeq}\right)$ be an ordered set.
Let $a \in S$.
The strict upper closure of $a$ (in $S$) is defined as: $a^\succ := \left\{{b \in S: a \preccurlyeq b \land a \ne b}\right\}$
or:
$a^\succ := \left\{{b \in S: a \prec b}\right\}$ $a^\preccurlyeq := ... |
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... |
2018-09-11 04:29
Proprieties of FBK UFSDs after neutron and proton irradiation up to $6*10^{15}$ neq/cm$^2$ / Mazza, S.M. (UC, Santa Cruz, Inst. Part. Phys.) ; Estrada, E. (UC, Santa Cruz, Inst. Part. Phys.) ; Galloway, Z. (UC, Santa Cruz, Inst. Part. Phys.) ; Gee, C. (UC, Santa Cruz, Inst. Part. Phys.) ; Goto, A. (UC,... |
I'm studying qft from Srednicki's book. If one writes down the full $i\epsilon$ terms, passing from Eq. (6.21) (non-perturbative definition) to Eq. (6.22) (perturbative definition) yields
$$\left<0|0\right>_{f,h} = \int\mathcal{D}p\mathcal{D}q \exp\left[i\int_{-\infty}^{+\infty}dt\left(p\dot{q} - (1 - i\epsilon )H(p,q)... |
Definition:Integral Sign Definition
Let $\left({X, \Sigma, \mu}\right)$ be a measure space.
Let:
$\displaystyle \int f \rd \mu := \sup \, \left\{{I_\mu \left({g}\right): g \le f, g \in \mathcal E^+}\right\}$ $\mathcal M_{\overline \R}^+$ denotes the space of positive $\Sigma$-measurable functions $\overline \R_{\ge 0}$... |
thermodynamic_temperature¶
astropy.units.
thermodynamic_temperature(
frequency, T_cmb=None)¶
Defines the conversion between Jy/sr and “thermodynamic temperature”, \(T_{CMB}\), in Kelvins. The thermodynamic temperature is a unit very commonly used in cosmology. See eqn 8 in [1]
\(K_{CMB} \equiv I_\nu / \left(2 k \nu^2 /... |
[latex]\begin{array}{l}\text{Budget}={P}_{1}\times{Q}_{1}+{P}_{2}\times{Q}_{2}\\\text{Budget}=\$10\\\,\,\,\,\,\,\,\,\,\,\,\,{P}_{1}=\$2\left(\text{the price of a burger}\right)\\\,\,\,\,\,\,\,\,\,\,\,\,{Q}_{1}=\text{quantity of burgers}\left(\text{variable}\right)\\\,\,\,\,\,\,\,\,\,\,\,\,{P}_{2}=\$0.50\left(\text{the ... |
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... |
Search
Now showing items 1-9 of 9
Production of $K*(892)^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$ =7 TeV
(Springer, 2012-10)
The production of K*(892)$^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$=7 TeV was measured by the ALICE experiment at the LHC. The yields and the transverse momentum spectra $d^2 ... |
Search
Now showing items 1-10 of 27
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 ... |
Search
Now showing items 1-5 of 5
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... |
Search
Now showing items 11-20 of 165
Multiplicity dependence of the average transverse momentum in pp, p-Pb, and Pb-Pb collisions at the LHC
(Elsevier, 2013-12)
The average transverse momentum <$p_T$> versus the charged-particle multiplicity $N_{ch}$ was measured in p-Pb collisions at a collision energy per nucleon-nu... |
My student Dragan Rakas and I worked on an early version of this technology in 2013, and we found it to be a very interesting but difficult problem. You can read our about it here.
Microsoft has open sourced a homomorphic encryption library developed by its Cryptography Research group, saying it “strongly believes” the... |
Molecular orbital theory has been very successfully applied to large conjugated systems, especially those containing chains of carbon atoms with alternating single and double bonds. An approximation introduced by Hückel in 1931 considers only the delocalized
p electrons moving in a framework of \(\pi\)-bonds. This is, ... |
Pair Correlation Function of a Three-Dimensional Point Pattern
Estimates the pair correlation function from a three-dimensional point pattern.
Usage
pcf3est(X, ..., rmax = NULL, nrval = 128, correction = c("translation","isotropic"), delta=NULL, adjust=1, biascorrect=TRUE)
Arguments X
Three-dimensional point pattern (o... |
If you Googled this number a week ago, all you’d get were links to the paper by Melanie Wood Belyi-extending maps and the Galois action on dessins d’enfants.
In this paper she says she can separate two dessins d’enfants (which couldn’t be separated by other Galois invariants) via the order of the monodromy group of the... |
Definition:Coset Contents Definition
Let $G$ be a group, and let $H \le G$.
The
left coset of $x$ modulo $H$, or left coset of $H$ by $x$, is: $x H = \set {y \in G: \exists h \in H: y = x h}$ That is, it is the subset product with singleton: $x H = \set x H$
The
right coset of $y$ modulo $H$, or right coset of $H$ by $... |
[LON-CAPA-users] Hints for first LON-CAPA question Raymond Batchelor batchelo at sfu.ca Thu Jun 13 15:52:06 EDT 2013 See my revised xml which I've appended below:
----- Original Message -----
From: "Joseph Mingrone" <jrm at mathstat.dal.ca>
To: lon-capa-users at mail.lon-capa.org
Sent: Thursday, 13 June, 2013 12:04:44
... |
In economics,
market concentration is a function of the number of firms and their respective shares of the total production (alternatively, total capacity or total reserves) in a market. Alternative terms are Industry concentration and Seller concentration. [1]
Market concentration is related to
industrial concentratio... |
№ 9
All Issues Kopotun K. A.
Ukr. Mat. Zh. - 2010. - 62, № 3. - pp. 369–386
In Part I of the paper, we have proved that, for every $α > 0$ and a continuous function $f$, which is either convex $(s = 0)$ or changes convexity at a finite collection $Y_s = \{y_i\}^s_i = 1$ of points $y_i ∈ (-1, 1)$, $$\sup \left\{n^{\alph... |
Since $k[x,y]$ is a Unique Factorization Domain, the ideal $(x^m-y^n)$ is prime there if and only if $P=x^m-y^n$ is irreducible in $k[x,y]$.
I offer two proofs of irreducibility of $x^m-y^n$ when $\gcd(m,n)=1$, both showing that it’s irreducible as an element of $k(x)[y]$. The first is very advanced, the second is elem... |
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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 ... |
I can think of several additions to your list which don't seem to be represented yet.
1. Semismall resolutions
This first example is rather general, but afterward I will discuss how it is used in Springer theory.
First, suppose that $f:X \to Y$ is a proper map of stratified irreducible complex algebraic varieties with ... |
Keywords
Sylvester equation, Jordan normal form, Schur decomposition
Abstract
The method for solving the Sylvester equation $AX-XB=C$ in complex matrix case, when $\sigma(A)\cap\sigma(B)\neq \emptyset$, by using Jordan normal form is given. Also, the approach via Schur decomposition is presented.
Recommended Citation
D... |
Category:Intervals Let $\struct {S, \preccurlyeq}$ be an ordered set.
Let $a, b \in S$.
The intervals between $a$ and $b$ are defined as follows:
The
open interval between $a$ and $b$ is the set: $\openint a b := a^\succ \cap b^\prec = \set {s \in S: \paren {a \prec s} \land \paren {s \prec b} }$
where:
$a^\succ$ denot... |
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Now showing items 1-1 of 1
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... |
Proceedings of the Thirty-Second Conference on Learning Theory, PMLR 99:2210-2258, 2019.
Abstract
In an optimal design problem, we are given a set of linear experiments $v_1,…,v_n\in \mathbb{R}^d$ and $k \geq d$, and our goal is to select a set or a multiset $S \subseteq [n]$ of size $k$ such that $\Phi((\sum_{i \in S}... |
The needle deflection or the number shown on the digital display of a spectrophotometer is proportional to the transmittance of the solution. How do errors in transmittance readings affect the accuracy of solution concentration values? The concentration as a function of the transmittance is given by the equation
\[c(T)... |
Research output: Contribution to journal › Article
View graph of relations
Original language English Article number 19 Number of pages 46 Journal JHEP Journal publication date 4 Mar 2014 Volume 2014 Issue 03 Early online date 4 Mar 2014 DOIs Publication status E-pub ahead of print - 4 Mar 2014 Abstract
We reformulate e... |
Denote $[n] \triangleq \{1,2,\ldots,n\}$.
Assume we would like to have a data structure $S$ which kinda works as a dictionary from $[k]$ to $[v]$, and supports add/remove/update/query functionality, without any dynamic memory allocation (everything has to be pre-allocated).
In general, one cannot do better than using $... |
In their proof of the celebrated Kadison-Singer conjecture, Marcus, Spielman and Srivastava exploited so-called interlacing families which are originally defined for their work on Ramanujan graphs. And I have a question on a variant of their
Lemma 4.2 about common interlacing stated in http://arxiv.org/pdf/1304.4132v2.... |
For many operators, their adjoint can be expressed as a function of other known operators, for example $$\hat{T}_a^\dagger = \hat{T}_{-a} \\ \hat{p}_x^\dagger = \hat{p}_x$$ where $\hat{T}_a \psi (x) = \psi (x+a)$ and $\hat{p}_x \psi(x)= -ih \frac{\partial \psi(x)}{\partial x}$.
But if we consider the operator $\hat{K}\... |
Algebra and Algebraic Geometry Seminar Spring 2018
The seminar meets on Fridays at 2:25 pm in room B235.
Contents 1 Algebra and Algebraic Geometry Mailing List 2 Schedules 3 Spring 2018 Schedule 4 Abstracts Algebra and Algebraic Geometry Mailing List Please join the AGS Mailing List to hear about upcoming seminars, lun... |
This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Advanced Problems on Network Theory – 1”.
1. Branch current and loop current relation is expressed in matrix form shown below, where Ij represents branch current and Ik represents loop current.
[I 1; I 2; I 3; I 4; I 5; I 6; I 7; I 8] = [... |
A Belyi-extender (or dessinflateur) is a rational function $q(t) = \frac{f(t)}{g(t)} \in \mathbb{Q}(t)$ that defines a map
\[ q : \mathbb{P}^1_{\mathbb{C}} \rightarrow \mathbb{P}^1_{\mathbb{C}} \] unramified outside $\{ 0,1,\infty \}$, and has the property that $q(\{ 0,1,\infty \}) \subseteq \{ 0,1,\infty \}$.
An examp... |
Consider a phase space volume element \(dx_0\) at
t=0, containing a small collection of initial conditions on a set of trajectories. The trajectories evolve in time according to Hamilton's equations of motion, and at a time t later will be located in a new volume element \(dx_t\) as shown in the figure below: Figure 1:... |
In "A Really Temporal Logic", by R.Alur and A.Henziger, they introduce an extension of Linear Temporal Logic with a
freeze quantifier $x.\phi$, which allows to "give a name" to the current time point to later compare it with others. An example formula from the paper is
$$ \Box x.(p \to \Diamond y.(q \land y \le x + 10)... |
Admissible Monomials and Generating Sets for the Polynomial Algebra as a Module Over the Steenrod Algebra
Admissible Monomials and Generating Sets for the Polynomial Algebra as a Module Over the Steenrod Algebra
Abstract
For $n\geq 1,$ let $ {\mathbb P}(n) = {\mathbb F}_2[x_1,\ldots,x_n]$ be the polynomial algebra in $... |
You are correct, Bogoliubov transformations are
not unitary in general. By definition,
Bogoliubov transformations are
linear transformations of creation/annihilation operators that preserve the algebraic relations among them.
The algebraic relations are mainly the
commutation/anticommutation relations which define the ... |
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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 ... |
Let’s try to identify the $\Psi(n) = n \prod_{p|n}(1+\frac{1}{p})$ points of $\mathbb{P}^1(\mathbb{Z}/n \mathbb{Z})$ with the lattices $L_{M \frac{g}{h}}$ at hyperdistance $n$ from the standard lattice $L_1$ in Conway’s big picture.
Here are all $24=\Psi(12)$ lattices at hyperdistance $12$ from $L_1$ (the boundary latt... |
Yesterday, there was an interesting post by John Baez at the n-category cafe: The Riemann Hypothesis Says 5040 is the Last.
The 5040 in the title refers to the largest known counterexample to a bound for the sum-of-divisors function
\[ \sigma(n) = \sum_{d | n} d = n \sum_{d | n} \frac{1}{n} \]
In 1983, the french mathe... |
Let $q:(X,T)\to (X',T')$ be a continuous and surjective map. If $q$ is open or closed, then it is a quotient map.
Suppose that $q$ is open and let's check that $\bar q:\bar X\longrightarrow X'$ is open too (and therefore homeomorphism, because continuous and open bijections identify the open subsets of each space). Let... |
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... |
We saw that the \(E (N, V, S)\) and \(A (N, V, T)\) could be related by a Legendre transformation. The partition functions \(\Omega (N, V, E)\) and \(Q (N, V, T)\) can be related by a Laplace transform. Recall that the Laplace transform \(\tilde {f} (\lambda)\) of a function \( f (x)\) is given by
\[ \tilde {f} (\lambd... |
Characterization of Strict Positive Definiteness on products of complex spheres 77 Downloads Abstract
In this paper we consider Positive Definite functions on products \(\Omega _{2q}\times \Omega _{2p}\) of complex spheres, and we obtain a condition, in terms of the coefficients in their disc polynomial expansions, whi... |
Regular Pentagon Construction by K. Knop What Is This About? Problem
Construction
Draw line $OA.\,$ Mark point $R,\,$ the second intersection of the line with the givem circle $O(A).$
Draw the circle $R(O)\,$ through $O\,$ centered at $R.\,$ Mark point $N,\,$ one of the intersections of the two circles.
Draw the circle... |
Here we want to give an easy mathematical bootstrap argument why solutions to the time independent 1D Schrödinger equation (TISE) tend to be rather nice. First formally rewrite the differential form$$-\frac{\hbar^2}{2m} \psi^{\prime\prime}(x) + V(x) \psi(x) ~=~ E \psi(x) \tag{1}$$into the int...
[Some time travel comme... |
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 1-10 of 33
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... |
The parameter called
rate is indeed the one with the usual name $\lambda$. And the mean of the distribution with density function $\lambda e^{-\lambda t}$ (for $t\ge 0$) is $\frac{1}{\lambda}$.
This makes the choice of name $\mu$ for the rate surprising, since $\mu$ is a common name for the mean.
By the memorylessness ... |
Computer Science - Networking and Internet Architecture
Abstract
Packet classification according to multi-field ruleset is a key component for many network applications. Emerging software defined networking and cloud computing need to update the rulesets frequently for flexible policy configuration. Their success depen... |
Advanced topics in information theory From CYPHYNETS
(→July 14: Rate distortion theory - I)
(→July 14: Rate distortion theory - I)
Line 86: Line 86:
* There is also an information theoretic definition,
* There is also an information theoretic definition,
-
<math>R^I(D) = \min_{p(
+
<math>R^I(D) = \min_{p(, \hat{x}), \s... |
It is not necessary that an electron be described by an eigenfunction of the Hamiltonian operator. Many problems encountered by quantum chemists and computational chemists lead to wavefunctions that are not eigenfunctions of the Hamiltonian operator. Science is like that; interesting problems are not simple to solve. T... |
File:Vacuum fluctuations revealed through spontaneous parametric down-conversion.ogv
In quantum physics, a
quantum vacuum fluctuation (or quantum fluctuation or vacuum fluctuation) is the temporary change in the amount of energy in a point in space, [1] arising from Werner Heisenberg's uncertainty principle.
According ... |
Finding the most useful single-electron wavefunctions to serve as building blocks for a multi-electron wavefunction is one of the main challenges in finding approximate solutions to the multi-electron Schrödinger Equation. The functions must be different for different atoms because the nuclear charge and number of elec... |
This set of Network Theory Question Paper focuses on “Advanced Problems on Two Port Network – 2”.
1. A network contains linear resistors and ideal voltage source S. If all the resistors are made twice their initial value, then voltage across each resistor is __________
a) Halved b) Doubled c) Increases by 2 times d) Re... |
Definition:Ordering/Notation Definition
Symbols used to denote a general ordering relation are usually variants on $\preceq$, $\le$ and so on.
On $\mathsf{Pr} \infty \mathsf{fWiki}$, to denote a general ordering relation it is recommended to use $\preceq$ and its variants:
$\preccurlyeq$ $\curlyeqprec$ $\leqslant$ $\le... |
Abstract : The following multiple integral is involved in the neutron star theory:
\[\tau(\epsilon,\upsilon)=\frac{1}{\omega(\epsilon)}\int_{0}^{\pi/2}d\theta sin(\theta) \int_{0}^{\infty}dnn^{2} \int_{0}^{\infty}dph(n, p, \theta, \epsilon, \upsilon)\]
where
\[h(n,p,\theta,\epsilon,\upsilon)=\psi(z)\phi(n-\epsilon-z)+\... |
The diffusive flow of particles can be studied by applying a constant force \(f\) to a system using the microscopic equations of motion
\[\dot{\textbf r}_i = { {\textbf p}_i \over m_i}\]
\[\dot{\textbf p}_i = {\textbf F}_i({\textbf q}_1,..,{\textbf q}_N) + f\hat{\textbf x} \]
which have the conserved energy
\[ H' = \su... |
Answer
There are no values of x that will make this equation true.
Work Step by Step
Because 2x + 1 is in the denominator, and the denominator cannot equal 0, 2x + 1 $\ne$ 0 2x $\ne$ -1 x $\ne$ -$\frac{1}{2}$ Because x - 3 is in the denominator, and the denominator cannot equal 0, x - 3 $\ne$ 0 x $\ne$ 3 To solve this ... |
Strongly Nonlinear p(x)-Elliptic Problems with L¹-Data
Strongly Nonlinear p(x)-Elliptic Problems with L¹-Data
Abstract
In this paper, we will study the existence of solutions in the sense of distributions for the quasilinear $p(x)$-elliptic problem,
$$ Au + g(x,u,\nabla u) = f,$$ where $A$ is a Leray-Lions operator fro... |
The equations of motion of a system can be cast in the generic form
\[\dot {x} = \xi (x) \]
where, for a Hamiltonian system, the vector function \(\xi\) would be
\[ \xi (x) = \left ( - \dfrac {\partial H}{\partial r_1} , \cdots , - \dfrac {\partial H}{\partial r_N} , \dfrac {\partial H}{\partial p_1}, \cdots , \dfrac {... |
On Jacobi Fields Along Eigenmappings of the Tension Field for Mappings into a Symmetric Riemannian Manifold
On Jacobi Fields Along Eigenmappings of the Tension Field for Mappings into a Symmetric Riemannian Manifold
Abstract
We prove that the mean value ( for some measure $\mu =\chi dx$ with $\chi \geq 0,dx=$ Riemannia... |
Systematics on lifetime measurments
We propose the following text (latex format). latex abbreviations are defined using the standard lhcb latex defintion file.
The particle decay times are measured from the distance between the primary vertex and secondary decay vertex in the VELO. The accuracy with which this distance... |
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J/Ψ production and nuclear effects in p-Pb collisions at √sNN=5.02 TeV
(Springer, 2014-02)
Inclusive J/ψ production has been studied with the ALICE detector in p-Pb collisions at the nucleon–nucleon center of mass energy √sNN = 5.02TeV at the CERN LHC. The measurement is performed in... |
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Change to browse by: Bookmark(what is this?) High Energy Physics - Phenomenology Title: Sub-MeV Bosonic Dark Matter, Misalignment Mechanism and Galactic Dark Matter Halo Luminosities
(Submitted on 26 Oct 2016 (v1), last revised 21 Jun 2017 (this version, v3))
Abstract: We explore a scenar... |
To discuss the electronic states of atoms we need a system of notation for multi-electron wavefunctions. As we saw in Chapter 8, the assignment of electrons to orbitals is called the electron configuration of the atom. One creates an electronic configuration representing the electronic structure of a multi-electron ato... |
I would like to know a reference for Grothendieck duality in a resolution of singularities. More precisely, let $Y$ be a normal, Gorenstein variety with finite quotient singularities, and suppose that $f\colon X \to Y$ is a crepant resolution of singularities, meaning that $f^*\omega_Y \cong \omega_X$. In particular, s... |
Definition:Iterated Binary Operation over Finite Set
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Contents Definition
Let $\left({G, *}\right)$ be a commutative semigroup.
Let $f: S \to G$ be a mapping.
Let $n \in \N$ be the cardinality of $S$.
$\displaystyle \prod_{s \mathop \in S} f \left({s}\right) = \displaystyle \prod_{i \ma... |
Difference between revisions of "SageMath"
(Add note about the flask notebook deprecation)
(→Documentation: Delete build instructions, docs are provided in the sagemath-doc package)
Line 63: Line 63:
Cantor can be installed with the {{Pkg|cantor}} package or as part of the {{Grp|kde-applications}} or {{Grp|kdeedu}} gro... |
On p10 of these EFT lecture notes, the "relevance" of operators in a Lagrangian is determined by comparing their mass dimension to the spacetime "d" one considers such that an operator is
Relevant if its dimension is $ < d$
Marginal if its dimension is $ = d$
And irrelevant if its dimension is $ > d$
This means for exa... |
Infrared Bandpass Filtered Thinsats
Thermal infrared filtering the front side of a thinsat reduces mass by half.
Adding an optical high-pass filter to the front (sunwards) side of a thinsat allows almost all the high energy sunlight to reach the solar cells, while pushing all the black body thermal emissions to the bac... |
I have $n=6*10^4$ people which should be sorted into groups. Each person has a list of up to 20 preferences according to which they should be assigned, and a score for each group (a real number). There are $\approx2*10^3$ groups, each taking $5 \leq k_{group} \leq 250$ people at most.
Imagine a following scenario: Each... |
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