text stringlengths 256 16.4k |
|---|
I am reading Tom Dieck's page 537 and I am not sure what the vertical map that I put in the title is in the diagram in the bottom of the page. This map is labeled Thom Isomorphism. Here $MSO(k)$ is the thom space of the tautological bundle over $BSO(n)$. There is a thom isomorphism from $H_{j-1}(MSO(k))\to H_{j-k-1}(BS... |
Let's focus on the volatility contract price. Generalisation to cubic and quartic contracts is straightforward.
Following the paper's notations, the evaluation date is $t$ and the (European) contracts all expire at $T = t+\tau$. A
volatility contract is specifically associated to the payoff function
$$ H[S] = R(t,\tau;... |
Schedule of the International Workshop on Logic and Algorithms in Group Theory Monday, October 22
10:15 - 10:50 Registration & Welcome coffee 10:50 - 11:00 Opening remarks 11:00 - 12:00 Alex Lubotzky: First order rigidity of high-rank arithmetic groups 12:00 - 14:00 Lunch break 14:00 - 15:00 Zlil Sela: Basic conjecture... |
Question: Estimate the value to the nearest tenth
$$\sqrt{47}$$
But I don't know how I could estimate without using the calculator
Thank You and Help is appreciated
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute ... |
Hi, Can someone provide me some self reading material for Condensed matter theory? I've done QFT previously for which I could happily read Peskin supplemented with David Tong. Can you please suggest some references along those lines? Thanks
@skullpatrol The second one was in my MSc and covered considerably less than my... |
Kinematics is all about motion. And since we are now moving away from pure electrostatics, it is about time to introduce some motion of particles.
In exercise set 6 we ask you to simulate the motion of a particle in an electric field using numeric methods. This is likely something you have seen before, so we’ll just br... |
Introduction
I thought there might be an error in the original statement of the question,and the OP was no longer around to ask. So I assumed that the tape wasread-only everywhere, and wrote a first proof based on thatassumption, motivated by the fact that the TM has full Turing poweroutside the input part of the tape ... |
In this section, we'll examine orbits and stabilizers, which will allow us to relate group actions to our previous study of cosets and quotients.
Definition 6.1.0: The Orbit
Let \(S\) be a \(G\)-set, and \(s\in S\). The
orbit of \(s\) is the set \(G\cdot s = \{g\cdot s \mid g\in G\}\), the full set of objects that \(s\... |
Our example won't show how
powerful this theorem is: it's too simple. But it'll help explain the ideas involved.
A diatomic molecule consists of two atoms of the same kind, stuck together:
At room temperature there are 5 elements that are diatomic gases: hydrogen, nitrogen, oxygen, fluorine, chlorine. Bromine is a diat... |
It's hard to say just from the sheet music; not having an actual keyboard here. The first line seems difficult, I would guess that second and third are playable. But you would have to ask somebody more experienced.
Having a few experienced users here, do you think that limsup could be an useful tag? I think there are a... |
Imagine putting a boat in a lake with random currents. The current at a particular point would hit the boat in a force at this point. At another point, the current is different so it would hit the boat with a different force. A grid of all these forces that his on the boat is called the vector field. Using the vector f... |
tl;dr: Park your ISS-like space station above 700 km and there is a good chance it will only lose 100 m/s in 1,000 years due to atmospheric drag at least (and 2000 km for a million years). However, there are other problems
This is a really interesting question! Just for example,
the LAGEOS satellites are about 6,000 km... |
https://doi.org/10.1351/goldbook.E02283
@E02281@ describing the progress of a chemical reaction equal to the number of chemical transformations, as indicated by the reaction equation on a molecular scale, divided by the @A00543@ (it is essentially the @A00297@ of chemical transformations). The change in the extent of r... |
On the dimension of vertex labeling of $k$-uniform dcsl of $k$-uniform caterpillar Abstract
A distance compatible set labeling (dcsl) of a connected graph $G$ is an injective set assignment $f : V(G) \rightarrow 2^{X},$ $X$ being a nonempty ground set, such that the corresponding induced function $f^{\oplus} :E(G) \rig... |
According to this article,
[...] the propensity function for the conversion reaction S → P in the well-mixed discrete stochastic case can be written $a(S) = \frac{V_{max}\cdot S}{K_m + S/\Omega}$ where $\Omega$ is the system volume.
I don't quite understand how this formula is derived from the
non-discrete Michaelis-Me... |
There is a calculation that I had been thinking for a long time of working out to my own satisfaction, both because of its intrinsic importance and because it seemed like it would be fun. This was to calculate the intensity of a gravitational wave for a given amplitude. E.g., for LIGO events we have amplitudes expresse... |
Say a matrix A is positive semi-definite. Let B be a square matrix composed of replicas of A as sub-blocks, s.t. $$B=\begin{pmatrix} A & A \\ A & A \\ \end{pmatrix},$$ or $$\begin{pmatrix} A & A & A \\ A & A & A \\ A & A & A \\ \end{pmatrix},$$ etc. Would $B$ be semi-definite as well?
For any vector $x$, divide it into... |
Skills to Develop
Construct probability models. Compute probabilities of equally likely outcomes. Compute probabilities of the union of two events. Use the complement rule to find probabilities. Compute probability using counting theory.
Residents of the Southeastern United States are all too familiar with charts, know... |
The cost function is described as:
$$ J(x) = \frac{(M(x)-y)^2}{\sigma_y^2} + \frac{(x-x_0)^2}{\sigma_x^2} $$
where,
$x$ are the unknowns, $k$ and $H$ in our case $x_0$ are prior estimates of unknowns $\sigma_x$ are the uncertainty of these prior estimates $M$ is the model we are solving, in our case the heat equation $... |
Real Analysis Exchange Real Anal. Exchange Volume 39, Number 1 (2013), 91-100. Essential Divergence in Measure of Multiple Orthogonal Fourier Series Abstract
In the present paper we prove the following theorem: \\ Let \(\{\vf _{m,n}(x,y)\}_{m,n=1}^{\infty} \) be an arbitrary uniformly bounded double orthonormal system ... |
According to me, $\ce{Fe^{2+}}$ should be a better reducing agent because $\ce{Fe^2+}$ - after being oxidized - will attain a stable $\ce{d^5}$ configuration, whereas $\ce{Cr^2+}$ will attain a $\ce{d^3}$ configuration. I think the half filled $\ce{d^5}$ configuration is more stable than the $\ce{d^3}$ configuration. W... |
The orthogonal group, consisting of all proper and improper rotations, is generated by reflections. Every proper rotation is the composition of two reflections, a special case of the Cartan–Dieudonné theorem.
Yeah it does seem unreasonable to expect a finite presentation
Let (V, b) be an n-dimensional, non-degenerate s... |
Help:Formula Contents 1 TeX 2 General 3 Functions, symbols, special characters 4 Subscripts, superscripts, integrals 5 Fractions, matrices, multilines 6 Fonts 7 Parenthesizing big expressions, brackets, bars 8 Spacing 9 Align with normal text flow 10 Forced PNG rendering 11 Examples 12 See also 13 External Links 14 Wik... |
Lets suppose we have two planes given by the parametric equations
$$\begin{align} &\eta_1~:~\vec{x}_1~=~\vec{o}_1+\vec{R}_{11}t_{11}+\vec{R}_{12}t_{12}\\ &\eta_2~:~\vec{x}_2~=~\vec{o}_2+\vec{R}_{21}t_{21}+\vec{R}_{22}t_{22} \end{align}$$
where all occuring vectors are elements of the euclidean space $\mathbb{R}^3$. We ... |
I am having a difficulty setting up the proof of the fact that two basis of a vector space have the same cardinality for the infinite-dimentional case. In particular, let $V$ be a vector space over a field $K$ and let $\left\{v_i\right\}_{i \in I}$ be a basis where $I$ is infinite countable. Let $\left\{u_j\right\}_{j ... |
A
Raid Boss or Boss Pokémon is an extremely powerful Pokémon that has very high CP. It hatches from a egg which appears atop a Gym upon the beginning of the Raid Battle. A countdown will display the time until the egg hatches and the battle begins. Details
Upon using a Raid Pass to join the battle, the Trainer and up t... |
The variation $\delta F$ for any field (or degree of freedom) $F$, given an infinitesimal transformation, is always calculated as the commutator$$ \delta F = [ \bar\epsilon Q, F ] $$where $\bar \epsilon$ is a parameter ("angle" or "shift" or some generalization) of the transformation and $Q$ is the generator. (Those ma... |
Model Bias and Variance
In previous section, we studied about Type of Datasets, Type of Errors and Problem of Overfitting
Over fitting Low Bias with High Variance Low training error – ‘Low Bias’ High testing error Unstable model – ‘High Variance’ The coefficients of the model change with small changes in the data Under... |
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 ... |
#011 CNN Why convolutions ? Why convolutions ? In this post we will talk about why convolutions or convolutional neural networks work so well in a computer vision.
Convolutions are very useful when we include them in our neural networks. There are two main advantages of \(Convolutional \) layers over \(Fully\enspace co... |
Just thinking out loud here...
If we define a function called \\(\mathrm{when}\\),
\\[
\mathrm{when}(b,x) :\mathbf{Bool}\otimes \mathcal{X} \to \mathcal{X} \\\\
:= \text{if } b \text{ then } x \text{ else } \varnothing,
\\]
then \\(\mathrm{when}\\) is adjoint (in fact equivalent to) to taking the Cartesian product with... |
Bernoulli Bernoulli Volume 24, Number 4A (2018), 2499-2530. The sharp constant for the Burkholder–Davis–Gundy inequality and non-smooth pasting Abstract
We revisit the celebrated family of BDG-inequalities introduced by Burkholder, Gundy (
Acta Math. 124 (1970) 249–304) and Davis ( Israel J. Math. 8 (1970) 187–190) for... |
Trimester Seminar Venue: HIM, Poppelsdorfer Allee 45, Lecture Hall Thursday, December 13th, 2:30 p.m. Conjugacy classes and centralisers in classical groups
Speaker: Giovanni de Franceschi (Auckland)
Abstract
We discuss conjugacy classes and associated centralisers in classical groups, giving descriptions which underpi... |
When updating the weights of a neural network using the backpropagation algorithm with a momentum term, should the learning rate be applied to the momentum term as well?
Most of the information I could find about using momentum have the equations looking something like this:
$W_{i}' = W_{i} - \alpha \Delta W_i + \mu \D... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've been looking at feasibility relations, as our first example of enriched profunctors. Now let's look at another example. This combines many ideas we've discussed - but don't worry, I'll review them, and if you forget some defin... |
It is not generally true that $\mathcal{A}_n\times\mathcal{B}$ decreases to $\mathcal{A}_\infty\times\mathcal{B}$. In general, the inequality $\mathcal{A}_\infty\times\mathcal{B}\subseteq\bigcap_n(\mathcal{A}_n\times\mathcal{B})$ holds, but the inequality can be strict. I'll demonstrate this by a counterexample.
Consid... |
To complement the 2nd part of D.W.'s answer, we would like to find an $\mathcal H$-polytope (defined by the intersection of closed half-spaces) whose intersection with $\{0,1\}^4$ is
$$\{ (1,1,0,0),(0,1,1,1),(1,0,0,1) \}$$
Let
$$\Phi := \left(x_{1} \wedge x_{2} \wedge \neg x_{3} \wedge \neg x_{4}\right) \vee \left(\neg... |
If one has an equation such as $$x=-(3.2±0.1)\cos(30.3º±0.2º).$$ How does the error carry to be able to find the value of $x$? I have found that you have to -sine the error in the cosine, but then how do you deal with the value by which the scalar is multiplied, and its error?
You can use the error propagation formula ... |
Geometry is all about figures and Triangle is one of the first which one learns in school. Triangles are the most commonly tested topics of GMAT as they present many shortcuts to solve the problem which is vital in this savvy exam. So, let’s know some of the properties of the triangles:
Sum of all the internal angles o... |
Let $f: X \to Y$ be continuous and proper (a map is proper iff the preimage of a compact set is compact). Furthermore, assume that $Y$ is locally compact and Hausdorff (there are various ways of defining local compactness in Hausdorff spaces, but let's say this means each point $y \in Y$ has a local basis of compact ne... |
In classical mechanics we can describe the state of a system by a set of two numbers {\(\vec{R}, \vec{p}\)} where \(\vec{R}\) is the position of the object and \(\vec{p}\) is its momentum. The law of dynamics (given by Newton's second law, \(\sum{\vec{F}}=m\frac{d^2\vec{R}}{dt^2}\)) describes how the state of the objec... |
Ionic Concentration Gradient Across a Bilayer A Half-Step Beyond Ideal: Ion Gradients and Transmembrane Potentials
One key way the cell stores free energy is by having different concentrations of molecules in different "compartments" - e.g., extra-cellular vs. intracellular or in an organelle compared to cytoplasm. The... |
This question occurred to me while reading http://arxiv.org/abs/1806.08762/ Any observed sequence is necessarily finite, and any finite sequence is computable, either by explicitly storing all the data and just printing it, or by fitting an $n^{th}$-degree polynomial to an $n$-length sequence, etc.
So there's no such t... |
Here's the $n$-eigenvector proof:
We assume
$A\vec v_i = \lambda_i \vec v_i, \; 1 \le i \le n, \tag 1$
with
$\lambda_i \ne \lambda_j, \; 1 \le i, j \le n; \tag 2$
assume there is a linear dependence between the eigenvectors:
$\displaystyle \sum_1^n a_i \vec v_i = 0, \; \exists [a_i \ne 0, 1 \le i \le n]; \tag 3$
since ... |
The Context
(In this section I'm just going to explain hypothesis testing, type one and two errors, etc, in my own style. If you're comfortable with this material, skip to the next section)
The Neyman-Pearson lemma comes up in the problem of
simple hypothesis testing. We have two different probability distributions on ... |
Hi John.
A couple of small typos:
$$ x \sim_{f^{\ast}(P \wedge Q)} x' \textrm{ if and only if } x \sim_{ f^{\ast}(P)} x' \textrm{ and } x_{f^{\ast}(Q) } x'. $$
should be:
$$ x \sim_{f^{\ast}(P \wedge Q)} x' \textrm{ if and only if } x \sim_{ f^{\ast}(P)} x' \textrm{ and } x \sim_{f^{\ast}(Q) } x'. $$
The next equation ... |
While answering this question about a hypothetical 3-sphere universe $S^3$ expanding with a constant acceleration $\phi$ from a zero initial speed
$$ r=\dfrac{\phi}{2}t^2$$
I started from a generic metric defined in the hyperspherical coordinates:
$$ ds^2 = - c^2 dt^2 + a(t)^2 r^2 d\mathbf{\Omega}^2 $$
Where r is the r... |
According to Google’s Data Liberation Front (and German privacy laws), users are able to download a complete record of their data from the Google servers. This service is implemented as Google Takeout. I downloaded my Location History data of the last few months and created an animation using Processing. My movement pa... |
Following the book of Friedrich "Dirac operators and riemannian geometry" (AMS, vol 25), I define the generalized Seiberg-Witten equations for $(A,A',\psi , \phi)$, with $A,A'$ two connections and $\psi, \phi$, two spinors:
1)
$D_A ( \psi)=0$
2)
$D_{A'} ( \phi)=0$
3)
$F_+ (A)=-(1/4) \omega (\psi)$
4)
$F_+ (A')=-(1/4) \... |
NIRSpec MSA Leakage Subtraction Recommended Strategies
A very small fraction of light seeps through the JWST NIRSpec Micro-Shutter Assembly onto the detectors even when all shutters are closed. This leakage affects the IFU and MOS observations. Strategies to prevent and correct this issue are provided and discussed.
Th... |
This question, concerning the approximation $\frac{163}{\ln(163)}\approx 2^5$, was posted on MO 5 years ago: Why Is 163/ln(163) a Near-Integer?.
It was concluded that it had nothing to do with 163 being a Heegner number, and that it is most likely just a mathematical coincidence.
Playing with my calculator, I noticed t... |
I came across the following series in my math homework (Fourier Series):
Does the following series converge or diverge? If converges, does it converge absolutely?
$\sum_{n=-\infty}^{\infty}\frac{(-1)^n}{n^2+3}$
Typically, I would be well equipped to answer the question, however the "n=$-\infty$" is giving me trouble. N... |
For different purposes, I sometimes have to draw an bode plot. I first of would like to know if there is any piece of software which can draw them for me. So I gave in the transfer function and then it gives me the bode plot (both phase and the magnitude). This would save some time at occasions.
Ok, so now the real que... |
Let us assume that the market portfolio consists of n assets. Given that the return of the market portfolio can be written as $r_m = \sum_{j=1}^{n} w_jr_j$, we have that $\sigma^2_m = E(\sum_{j=1}^{n} w_jr_j - E(\sum_{j=1}^{n} w_jr_j))^2$, but how do I show that $$E(\sum_{j=1}^{n} w_jr_j - E(\sum_{j=1}^{n} w_jr_j))^2 =... |
School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, P. R. China.
Receive Date: 08 May 2015,Revise Date: 10 September 2015,Accept Date: 22 October 2015
Abstract
In this paper, we consider the following Kirchhoff-type equations: $-\left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}\right)\Del... |
Gravitational Force Exerted by a Rod
In this lesson, we'll derive a formula which will allow us to calculate the gravitational force exerted by a rod of length \(L\) on a particle a horizontal distance \(x\) away from the rod as illustrated in Figure 1. We'll assume that the width and depth of the rod are negligible an... |
I know the concerted mechanism for β-keto acids, but neither could I figure out, nor was I able to find out the mechanism for α,β-unsaturated acids. Any help is appreciated.
Albeit carboxylic acids and their derivatives lose carbon dioxide under a variety of experimental conditions, the literature on the decarboxylatio... |
Lasted edited by Andrew Munsey, updated on June 15, 2016 at 1:21 am.
: See also Directory:Kinetic Energy Devices
Kinetic energy (SI unit: the
There was an error working with the wiki: Code[1] needed to accelerate a body from rest to its current velocity. Having gained this energy during its
There was an error working w... |
I had acquired a ballscrew assembly from one of the loading docks, and was really excited about using it as the main actuator for this desk. (This is the same ballscrew from Kris's first seek&geek) Even though there was no obvious part number or datasheet, I could estimate the stiffness by looking at similar ballscrews... |
Anindya wrote:
> However in this case we could slightly vary the definition of a \\(\mathcal{V}\\)-enriched category to use right-to-left composition instead of left-to-right composition.
Hmm, as mentioned in my previous comment I don't see a left/right asymmetry built into the definition of enriched category:
> **Defi... |
$2.11×10^{135}$
If I'm not mistaken the following grid must give the optimal result:
where are 990/5 = 198 layers with 2 vertices.
Let's calculate number of paths. I number 2-vertice layers from 0 to 197. CD is 0th, GH is 197th. There are 3 different possibilities at each transition between two layers:
1) straight
/
/ ... |
Electronic Journal of Probability Electron. J. Probab. Volume 14 (2009), paper no. 11, 314-340. Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part Abstract
We consider the Dirichlet form given by $$ {\cal E}(f,f) = \frac{1}{2}\int_{R^d}\sum_{i,j=1}^d a_{ij}(x)\frac{\partial f(x)... |
Often when I teach students at our Business School they have a hard time understanding compact linear programming (LP) formulations. So here it is, a short introduction to some of the concepts you need to know for understanding compact LP formulations.
Sets
A set is a group of elements, e.g. $\{1,2,4\}$ is a set with 3... |
The class $BPP$ contains all the languages decided by a probabilistic Turing machine in polynomial time with probability of success more that 2/3 for every input.
The class $\Sigma^p_2$ contains all the languages for which there is a polinomial time Turing machine $M$ and a plynomial function $q : \mathbb{N} \rightarro... |
Today’s post by Clément Canonne.
Following the Boolean monotonicity testing bonanza, here’s an open problem. In short,
does adaptivity help for monotonicity testing of Boolean functions? Problem: Consider the problem of monotonicity testing for Boolean functions on the hypercube. Given oracle access to \(f\colon \{0,1\... |
I am trying to prove the following Knapsack approximation algorithm, the problem definition:
Input:
A set $S$ of $n$ objects that contains weights and values:
$w_1,w_2,\ldots,w_n$ (weights) $v_1,v_2,\ldots,v_n$ (values)
$W$ — The total weight bound.
Scaling factor $0 < c < 1$ Output: Let set $\mathrm{OPT}(S)$ be the op... |
Reading Toda's original paper, it's not clear that a general application of $\cdot$ has meaning, however it may have been extended later.
Toda introduces three operators: $\oplus\cdot$, $\mathsf{BP}\cdot$ and $\mathsf{C}\cdot$, so the $\cdot$ is, in this context, not an independent piece of notation. Toda is extending ... |
Let $ a,b,c$ positive integer such that $ a + b + c \mid a^2 + b^2 + c^2$.
Show that $ a + b + c \mid a^n + b^n + c^n$ for infinitely many positive integer $ n$.
(problem composed by
Laurentiu Panaitopol)
So far no idea.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and ... |
I would tend to
disagree with that quote:
The entropy $S(\rho_A)$ measures the amount of correlation (classical and/or quantum) between $A$ with the external world.
I think this is only true if you assume the joint $A\otimes(\text{external world})$ to be in a
pure state. In this case, as explained in steg's answer, $S(... |
I have this ARMA(1,1) process where $\epsilon_t$ is the classical White Noise process
$$X_t=\epsilon_t +\alpha_{t-1}\epsilon_{t-1}+\theta_{t-1}X_{t-1}$$
and I have to write its Wold representation. Using the lag operator I get
$$\epsilon_t=\frac{1-\theta_{t-1}L}{1+\alpha_{t-1}L}X_{t}$$ Assuming the process is stationar... |
Learning Objectives Calculate the price elasticity of supply Calculating the Price Elasticity of Supply
The price elasticity of supply measures how much quantity supplied changes in response to a change in the price. The calculations and interpretations are analogous to those we explained above for the price elasticity... |
Welcome to The Riddler. Every week, I offer up problems related to the things we hold dear around here: math, logic and probability. There are two types: Riddler Express for those of you who want something bite-size and Riddler Classic for those of you in the slow-puzzle movement. Submit a correct answer for either,
1 ... |
SciPost Submission Page Probing Lepton Universality with (Semi)-Leptonic B decays by Giovanni Banelli, Robert Fleischer, Ruben Jaarsma and Gilberto Tetlalmatzi-Xolocotzi - Published as SciPost Phys. Proc. 1, 013 (2019) Submission summary
As Contributors: Ruben Jaarsma · Gilberto Tetlalmatzi-Xolocotzi Preprint link: sci... |
NIRSpec Predicted Performance
NIRSpec sensitivity estimates may be obtained using the JWST Exposure Time Calculator (ETC). Methods on how to do this and and some best-estimates of limiting performance are available for users.
Information presented in the NIRSpec predicted performance articles describes the best knowled... |
The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients Abstract
In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fou... |
[EDIT, this posting had been answered to the negative, However it couldn't be deleted, so I've written a salvage for it in the posting titled "What is the consistency strength of Ackermann + the following cardinals to ordinals isomorphism?"]
Working in Morse-Kelley set theory
Add to it the following schema:
Cardinals t... |
This post describes some discriminative machine learning algorithms.
Normal distribution
Linear regression
Bernoulli distribution
Logistic regression
Multinomial distribution
Multinomial logistic regression (Softmax regression)
Exponential family distribution
Generalized linear regression
Multivariate normal distributi... |
EEDDIITT: this gives a proof of my main claim in my first answer, that a certain function takes its minimum value at a certain primorial. I actually put that information, with a few examples, into the wikipedia article, but it was edited out within a minute as irrelevant. No accounting for taste.
ORIGINAL: We take as g... |
Introduction: Spectral data and OLS
As an (astro-) physicists, a lot of your time goes into the analysis of some kind of spectrum. Whether you are studying some star far away or taking measurements on some material in a laboratory, very often spectrums (spectra?) are involved and very often they are noisy. For those un... |
Help:Editing This is a copy of the master help page at m:Help:Editing. Do not edit this page. Edits will be lost in the next update from the master page. Either edit the master help page for all projects at Meta, or edit the project-specific text at Template:Ph:Editing. You are welcome to copy the exact wikitext from t... |
Assessment | Biopsychology | Comparative |Cognitive | Developmental | Language | Individual differences |Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology | Hebbian theory describes a basic mechanism for synaptic plasticity wherein an ... |
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... |
My question concerns the possibility of using the hypothesis of
local thermodynamic equilibrium for calculate the entropy of a non-homogeneous equilibrium states.
In the figure, $N$ particles of a fluid are inside a vessel of volume $V$ under the effect of a constant gravitational field $g$. The total energy of the par... |
Free Particle
The eigenvalues \(E_i\) of the energy operator are the possible measurable values of the total energy of a quantum system. For a nonrelativistic (moving at speeds much less than the speed of light), massive particle that is an isolated system the total energy of the particle is just its kinetic energy:
$$... |
@Secret et al hows this for a video game? OE Cake! fluid dynamics simulator! have been looking for something like this for yrs! just discovered it wanna try it out! anyone heard of it? anyone else wanna do some serious research on it? think it could be used to experiment with solitons=D
OE-Cake, OE-CAKE! or OE Cake is ... |
Solutions to Try Its
1. [latex]f\left(x\right)[/latex] is a power function because it can be written as [latex]f\left(x\right)=8{x}^{5}[/latex]. The other functions are not power functions.
2. As
x approaches positive or negative infinity, [latex]f\left(x\right)[/latex] decreases without bound: as [latex]x\to \pm \inft... |
what does it mean by becoming extensional in the first place?
The axiom of extensionality relates to what it means for two functions to be equal. Specifically, extensionality says:
$f = g \iff \forall x \ldotp f(x) = g(x)$
That is, functions are equal if they map equal inputs to equal outputs. By this definition, quick... |
Fourier series in orthogonal polynomials
A series of the form
$$\sum_{n=0}^\infty a_nP_n\tag{1}$$
where the polynomials $\{P_n\}$ are orthonormal on an interval $(a,b)$ with weight function $h$ (see Orthogonal polynomials) and the coefficients $\{a_n\}$ are calculated from the formula
$$a_n=\int\limits_a^bh(x)f(x)P_n(x... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've been looking at feasibility relations, as our first example of enriched profunctors. Now let's look at another example. This combines many ideas we've discussed - but don't worry, I'll review them, and if you forget some defin... |
Search
Now showing items 1-10 of 31
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... |
Introduction: the Newton-Raphson method
The first time I was introduced to the Newton-Raphson method was a couple of years ago. I was studying physics and during a course on computational physics we had to optimize some function related to the N-body problem. About a week ago, I encountered Newton’s method for the seco... |
Integers
Category : 7th Class
INTEGERS
FUNDAMENTALS
N= (1, 2, 3, 4,............)
Elementary Question - 1: Which is the smallest natural number? Ans.: 1
Elementary Question - 2: Which is the smallest whole number? Ans.: 0
W= (0, 1, 2, 3,............)
That is, \[Z=\{........-4,\,\,-3,\,\,-2,\,\,-1\}\cup \{0,\text{ }1,\,\... |
Hydejack offers a few additional features to markup your content. Don’t worry, these are merely CSS classes added with kramdown’s
{:...} syntax, so that your content remains compatible with other Jekyll themes.
Table of Contents A word on building speeds Adding a table of contents Adding message boxes Adding large text... |
№ 8
All Issues Volume 59, № 10, 2007
Ukr. Mat. Zh. - 2007. - 59, № 10. - pp. 1299–1312
Necessary and sufficient conditions for the existence of a function from the class
S -
with prescribed values of integral norms of three successive derivatives (generally speaking, of a fractional order) are obtained.
Ukr. Mat. Zh. -... |
Search
Now showing items 1-10 of 24
Production of Σ(1385)± and Ξ(1530)0 in proton–proton collisions at √s = 7 TeV
(Springer, 2015-01-10)
The production of the strange and double-strange baryon resonances ((1385)±, Ξ(1530)0) has been measured at mid-rapidity (|y|< 0.5) in proton–proton collisions at √s = 7 TeV with the ... |
When I first learnt about GANs (generative adversarial networks)
1 I followedthe “alternative” objective (which I will refer to as $G_{alt}$), which is the most common GAN objective found inthe wild at the time of writing. You can see an example of it in DCGAN 2,which isavailable on GitHub.
$G_{alt}$ corresponds to the... |
Define a 3-dimensional QFT with $N=4$ supersymmetry (4 supercharges), and the field content is $g$ $N=4$ hyper-multiplets (that are in a representation $R$ of some group $G$).
Each hyper-multiplet is composed of 2 $N=2$ chiral-multiplets $Q,\tilde{Q}$ with complex conjugate representations $R,\bar R$. Therefore, the gl... |
Divisibility is a relation $R\subseteq \mathbb Z \times \mathbb Z$ denoted by the sign $”\mid”$ and defined as follows:
$$d\mid n:=\Leftrightarrow\exists m\in\mathbb Z\;\; d\cdot m=n\wedge d\neq 0.\label{E18333}\tag{1}$$
In other words, for two integers $n,d\in\mathbb Z$ with $d\neq 0$ $d$ is a
divisor of $n$, denoted ... |
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... |
Suppose $\lim\limits_{n \rightarrow \infty} a_n =\lim\limits_{n \rightarrow \infty} b_n = c$ and $a_n \le c_n \le b_n$ for all $n$. Prove that $\lim\limits_{n \rightarrow \infty} c_n = c$.
How would I do this?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professiona... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.