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This post contains all the important definitions that you need for GCE O Level Physics. (Equivalent to American High School Diploma) If you do not recognise any of the terms listed here, you should proceed to review the respective topic (Click on each of the sub-headers). For a list of the important equations for O Lev... |
Introduction: This is slightly edited and generalised version of a question I asked on the Physics Stack Exchange website. This question has a twin brother asked here on MO, only now we consider values of the Riemann zeta function $\zeta(n)$ where the function diverges: $n \leq 1$. I am especially interested in the phy... |
I am covering the classic literature on predictions of Cabibbo angle or other relationships in the mass matrix. As you may remember, this research was a rage in the late seventies, after noticing that $\tan^2 \theta_c \approx m_d/m_s$. A typical paper of that age was Wilczek and Zee Phys Lett 70B, p 418-420.
The techni... |
The "solution" to the quadratic equation makes no sense to me.
Assuming the Van der Waal equation with b=0, I agree with the solution to the equation:
$$\mathrm{PV}_m^2 - 24\mathrm{V}_m + 2 = 0\tag{1}$$
I'll point out that I'm following the notation of the gievn solution, but $\mathrm{V}_m$ seems odd to me. I'd think t... |
Let f,g be functions that are defined in the area of $x_0$ (Except $x_0$ itself)
$f(x) \ge g(x)$
Given the limit $ \lim_{x \to x_0}g(x) = \infty $
Prove that $ \lim_{x \to x_0}f(x) = \infty $
It seems logic that if $g(x)$ approaches some value where its height (limit) is at infinity, any other functions above $g(x)$ ar... |
In TextMate in LaTeX bundle, you have 4 different types of
calling snippets (I will put a very understandable example, $0 is the placement of the cursor): LaTeX symbol based on current word. i.e. If you write sand you use this command you get \sigma $0. Command Based on current word. i.e. if you write sand use this you... |
I'm actually working through the Renewal Limit Theorem Proof from
"Einführung in die Wahrscheinlichkeitstheorie und Statistik" by Ulrich Krengel and having problems to understand the first step, everything else is fine.
He defines: $f_m := f_{jj}^{(m)} = $ Probability of reaching state j for the first time again after ... |
Consider the following problem. We're given a circuit $C$ with $n$ binary inputs and $n$ binary outputs, computing some boolean function $f_C : \mathbb{Z}_2^n \rightarrow \mathbb{Z}_2^n$. We assume for simplicity that $C$ only contains binary AND/OR gates, except for the output gates that can be OR gates of unbounded f... |
Convex Model Solvers¶
Model solvers are implementations which either solve for the parameters/coefficients which determine the prediction of a model. Below is a list of all model solvers currently implemented, they are all sub-classes/subtraits of the top level optimization API. Refer to the wiki page on optimizers for... |
This question is somewhat related to this one.
As Alan has already said, following the actual light path through each layer leads to more physically accurate results. I will base my answer on a paper by Andrea Weidlich and Alexander Wilkie ("Arbitrarily Layered Micro-Facet Surfaces") that I have read and partially impl... |
First, I do not see why this is a Bayesian construction. Indeed, if you do mean that the density is known, it cannot possibly be a Bayesian construction. Consider the case where $f(x)=280{x^3}(1-x)^4,x\in[0,1]$,. There is no unknown parameter here. This is both your prior and your posterior as no amount of data will al... |
In this question, I'm continuing to explore the tools used/presented in Lars Hansen's Econometrica paper "Dynamic Valuation Decomposition within Stochastic Economies" (2012).
This might be an easy question, but I can't quite see it. In the paper linked above, the factorization is presented in which one component is a m... |
8.1.2.1 - Normal Approximation Method Formulas
Here we will be using the five step hypothesis testing procedure to compare the proportion in one random sample to a specified population proportion using the normal approximation method.
In order to use the normal approximation method, the assumption is that both \(n p_0 ... |
[texhax] Multiple column math equations with tags / multicols questions Johan Glimming glimming at kth.se Thu Aug 12 20:43:08 CEST 2004 Hello
Thanks. I tried to improve the code, but I am unable to use the \tag
outside a gather-environment (see code below, removing #2 fails if
\tag{..} is in #1 instead). Also I have to... |
Search Click on the Title, Author, or Picture to Open an Entry
Displaying entries 21-30 out of 44.
Surface plasmon polariton excitation in Kretschmann configuration
9 reviews
Excitation of surface plasmon polaritions at the gold-air interface in Kretschmann configuration.
Tutorial models for COMSOL Webinar "Simulating ... |
Those looking for the Quick Vibe Estimator will find the tool in AB-031: Vibration Motor Calculators – ERMs and LRAs
Well, 1 G is equal to the acceleration from gravity:
$$1G = 9.8 \frac{m}{s^{2}}$$
What we feel as vibrations is simply the object being repeatedly displaced and a very high frequency. But why do we expre... |
Piecewise Continuous Function with One-Sided Limits is Riemann Integrable Contents Theorem
Let $f$ be piecewise continuous with one-sided limits on $\left[{a \,.\,.\, b}\right]$.
Then $f$ is Riemann integrable on $\left[{a \,.\,.\, b}\right]$.
We are given that $f$ is piecewise continuous with one-sided limits on $\lef... |
Let $K$ be a field (of characteristic $\neq 2$ if that matters) and $V$ a finite dimensional vector space over $K$, $dim(V)=n$. Let $g$ be a symmetric bilinear form on $V$.
By $Cl(V,g)$ I denote the clifford algebra associated to $V$ and $g$.
$Cl(V,g):=T(V)/I$ where $T(V)$ is the tensor algebra of $V$ and $I$ is the tw... |
Definition:Symmetry (Relation) Contents Definition
Let $\mathcal R \subseteq S \times S$ be a relation in $S$.
$\mathcal R$ is
symmetric if and only if: $\tuple {x, y} \in \mathcal R \implies \tuple {y, x} \in \mathcal R$
$\mathcal R$ is
asymmetric if and only if: $\tuple {x, y} \in \mathcal R \implies \tuple {y, x} \n... |
Detecting groups of vechicles travelling together as a convoy is an important problem in military and law enforcement applications. We present a method for identifying these groups travelling together over time using short-range sensors distributed over a road network. Results of expirements on simulated and real data ... |
The question is about combinatorics. I have no idea on how to start solving the problem. Please guide me.
$(a) 2mn+ {m \choose 2}$ $(b) \frac{1}{2}m(m-1)+n(2m+n-1)$ $(c) {m \choose 2}+2({n \choose 2})$ (d) none of these I tried solving this question, but I couldn't even find a starting point??
The question is about com... |
I've created two (poorly) drawn graphics to illustrate my point.
Two unit vectors, $\widehat i$ and $\hat j$, in their standard orientation of \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}
Form an enclosed area like this:
Please note that this is merely a graphic to illustrate my point and salient details of the vecto... |
Let $V=\mathcal{C}([0,1])$ be the space of all complex valued continuous functions with the norm $||f||_{\infty}=\sup_{x\in[0,1]}|f(x)|$. Then, $V$ with the norm $||\cdot||_{\infty}$ is a Banach space.
I'm having problems to understand some part of the proof. I will proceed proving the previous statement until the ques... |
McGill University Boston University Purdue University Lebedev Physical Institute Crimean Astrophysical Observatory Department of Electronics and Nanoengineering Instituto de Astrofisica de Andalucia (Spain) ITMO University University of Arizona
Series:
35th International Cosmic Ray Conference, ICRC2017. The astropartic... |
8.3.1.1. - Example: Change in Knowledge
An educational research study is designed so that participants complete a measure of demonstrated knowledge twice. The researcher wants to estimate the change in scores from the first to second administrations (i.e., pre- and post-test). Data are paired by participant. The resear... |
Sessions Monday, July 6 2009, Plenary Monday, Working group 1 Monday, Working group 2 Monday, Working group 3 Tuesday, July 7, 2009, Plenary Tuesday, Working group 1 Tuesday, Working group 2 Tuesday, Working group 3 Wednesday, July 8, 2009, Plenary Thursday, July 9, 2009, Plenary Thursday, Working group 1 Thursday, Wor... |
Publication Info Title: Existence of the solution to a nonlocal-in-time evolutional problem Type: Article Status: Published Journal: Nonlinear Anal. Model. Control 19 (3), 432-447 Extended summary
This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Ba... |
Diameter is defined as the line passing through the center of a circle having two extremes on the circumference of a circle.
The Diameter of a circle divided the circle into two equal parts known as semi-circle.
The center of a circle is the midpoint of its diameter. It divides the diameter into two equal parts, each o... |
The bounty period lasts 7 days. Bounties must have a minimum duration of at least 1 day. After the bounty ends, there is a grace period of 24 hours to manually award the bounty. Simply click the bounty award icon next to each answer to permanently award your bounty to the answerer. (You cannot award a bounty to your ow... |
I am aware there are other proofs of line of this statement. But I am interested in the argument outlined here on page 62-63
Corollary II.2.2.9Let $A$ and $B$ be $C^*$ algebras, $\phi:A \rightarrow B$ be injective $*$-homomoprhism. Then $\phi$ is isometric, i.e. $||\phi(x) || = ||x||$ for all $x \in A$.
The proof goes ... |
Aika is a neural network simulation algorithm, that uses neurons to represent a wide variety of
linguistic concepts and connects them via synapses. In contrast to most other neural
network architectures, Aika does not employ layers to structure its network. Synapses can connect arbitrary
neurons with each other, but th... |
CentralityBin () CentralityBin (const char *name, Float_t low, Float_t high) CentralityBin (const CentralityBin &other) virtual ~CentralityBin () CentralityBin & operator= (const CentralityBin &other) Bool_t IsAllBin () const const char * GetListName () const virtual void CreateOutputObjects (TList *dir, Int_t mask) vi... |
"Abstract: We prove, once and for all, that people who don't use superspace are really out of it. This includes QCDers, who always either wave their hands or gamble with lettuce (Monte Zuma calculations). Besides, all nonsupersymmetric theories have divergences which lead to problems with things like renormalons, insta... |
4.2 - Introduction to Confidence Intervals4.2 - Introduction to Confidence Intervals
In Lesson 4.1 we learned how to construct sampling distributions when population values were known. In real life, we don't typically have access to the whole population. In these cases we can use the sample data that we do have to cons... |
In Srednicki's QFT Chapter 9, he first computed the vacuum expectation value of the field $\varphi(x)$ without including the counterterms in $\mathcal L$, then he found that the VEV is not zero, so he included the linear counterterm $Y\varphi$ to cancel the nonzero terms in the VEV. He computed the $O(g)$ term in $Y$ a... |
Here begins a new series, akin to the “Silly Proofs” series. Obscure results which are cool, but which you probably haven’t heard of.
Suppose we’ve got a pair of measurable spaces (sets with a \sigma algebra on them) \(X, Y\). We make \(X \times Y\) by taking the \sigma algebra generated by sets of the form \(A \times ... |
There are several possibilities for your confusion - and you bring up several related concepts (Work, potential energy, kinetic energy). When this happens I think it's helpful to isolate one thing which you know must, absolutely be true. The definition of work (for a constant force) is
$$W=\vec{F}\cdot \Delta \vec{x}=F... |
According to Cardy's lectures on Conformal Field theory, the general form of an operator product expansion is $$ \phi_{i}(r_{i})\cdot\phi_{j}(r_{j})=\sum_{k}C_{ijk}(r_{i}-r_{j})\phi_{k}((r_{i}+r_{j})/2)), $$ see page 5 Eq.(4).
I don't understand why the fields on the right hand side of this equation necessarily only de... |
In this module:
Random number generator – using volatile functions – with number of observations \(n\) switch Dynamic range as a statistical data reference Dynamic range as a chart series Creating an X Y scatter chart Random number generator
Pseudo random numbers \(\text{N(0,1) i.i.d.}\) are generated by the Excel
RAND... |
(Sorry was asleep at that time but forgot to log out, hence the apparent lack of response)
Yes you can (since $k=\frac{2\pi}{\lambda}$). To convert from path difference to phase difference, divide by k, see this PSE for details http://physics.stackexchange.com/questions/75882/what-is-the-difference-between-phase-differ... |
I have a hard time with selective precipitation problem.
A mixture of $\ce{BaSO4}$ and $\ce{BaS2O3}$ is shaken with pure water until a saturated solution is formed. Both solids remain in excess. What is $[\ce{Ba^{2+}}]$ in the saturated solution? $K_\mathrm{sp}(\ce{BaSO4}) = 9 \times 10^{-11}$ and $K_\mathrm{sp}(\ce{Ba... |
Example 7-11: Spouse Data (Question 2) Section
Next we will return to the second question posed earlier in this lesson.
Question 2: Do the husbands and wives accurately perceive the responses of their spouses?
To understand this question, let us return to the four questions asked of each husband and wife pair. The ques... |
"Abstract: We prove, once and for all, that people who don't use superspace are really out of it. This includes QCDers, who always either wave their hands or gamble with lettuce (Monte Zuma calculations). Besides, all nonsupersymmetric theories have divergences which lead to problems with things like renormalons, insta... |
I am not a fluid dynamicist, and I really just began thinking about this problem as my curiousity drew me into building an answer for the question What really allows airplanes to fly?.
It is very clear from the answers to the following questions:
that viscous flows cannot be everywhere irrotational. Moreover, some hand... |
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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 ... |
UPDATE (March 14, 2019, 1:18 p.m.): On Thursday, Google announced that one of its employees, Emma Haruka Iwao, had found nearly 9 trillion new digits of pi, setting a new record. Humans have now calculated the never-ending number to 31,415,926,535,897 (get it?) — about 31.4 trillion — decimal places. It’s a Pi Day mira... |
In this case we are replacing the random variables \(X_{ij}\), for the \(j_{th}\) sample for the \(i_{th}\) population, with random vectors \(X_{ij}\), for the \(j_{th}\) sample for the \(i_{th}\) population. These vectors contain the observations from the
p variables.
In our notation, we will have our two populations:... |
UPDATE - Answer edited to be consistent with the latest version of the question.
The different
definitions you mentioned are NOT definitions. In fact, what you are describing are different representations of the Lorentz Algebra. Representation theory plays a very important role in physics.
As far as the Lie algebra are... |
These are just some rather handwaving comments related to why the spectrum of the fluctuations in the CMB are of expected to be scale invariant.
The variations of the CMB we observe today correspond to the expanded initial over-dense and under-dense regions created by vacuum fluctuations.
The theoretical expectation of... |
A particle moves along the x-axis so that at time t its position is given by $x(t) = t^3-6t^2+9t+11$ during what time intervals is the particle moving to the left? so I know that we need the velocity for that and we can get that after taking the derivative but I don't know what to do after that the velocity would than ... |
Characteristic of Integral Domain is Zero or Prime Theorem
Let $\struct {D, +, \circ}$ be an integral domain.
Let $\operatorname{Char} \left({D}\right)$ be the characteristic of $D$.
Then $\operatorname{Char} \left({D}\right)$ is either $0$ or a prime number. Proof
If $\struct {D, +, \circ}$ is finite, then from Charac... |
What motivates canonical correlation analysis? Section
It is possible to create pairwise scatter plots with variables in the first set (e.g., exercise variables), and variables in the second set (e.g., health variables). But if the dimension of the first set is
p and that of the second set is q, there will be pq such s... |
Your best bet for this will be to use the Clausius-Clapeyron relation. This is an exponential function that describes the vapor pressure of a substance as a function of temperature, and uses the enthalpy of vaporization (latent heat) and a constant as parameters.
The constant is dependent on the particular substance, b... |
So I've been recently been studying types from David Marker's book and have some issues understanding them and in particular why did Marker choose to present certain proof of the following theorem
Theorem:Let $\mathcal{M}$ be an $\mathcal{L}$-structure, $A\subseteq M$, and $p$ an $n$-type over $A$. There is $\mathcal{N... |
Let $a_1,a_2,a_3,...$ and $b_1,b_2,b_3,...$ be Cauchy sequences in $[0,\infty)$, and let $c_n = a_n^2+\sqrt{b_n} + \sin(a_n+b_n)$. Prove that $c_1,c_2,c_3,...$ is also a Cauchy sequence by using the fact that a sequence of real numbers is a Cauchy sequence if and only if it converges.
closed as off-topic by Delta-u, us... |
9.1.2.1 - Normal Approximation Method Formulas 1. Check any necessary assumptions and write null and alternative hypotheses. Section
To use the normal approximation method a minimum of 10 successes and 10 failures in each group are necessary (i.e., \(n p \geq 10\) and \(n (1-p) \geq 10\)).
The two groups that are being... |
Motivating the classical momentum $\mathbf{p} = m\mathbf{v}$ is quite easy: it is meant to represent the quantity of motion of the particle, and since the mass is one measure of quantity of matter it should be proportional to mass (how much thing is moving) and should be proportional to velocity (how fast and to where ... |
Category:Path-Connected Sets Let $T = \left({S, \tau}\right)$ be a topological space.
Let $U \subseteq S$ be a subset of $S$.
Let $T' = \left({U, \tau_U}\right)$ be the subspace of $T$ induced by $U$.
That is, $U$ is a path-connected set in $T$ if and only if: for every $x, y \in U$, there exists a continuous mapping $... |
I am typesetting my phd thesis, and I was hoping to use Palatino as main font. For some of the headings I wanted to use a fancy TTF font, so I switched from pdfLaTeX to LuaLaTeX to compile my document. Using some trickery it seems I can still use the good old fonts from mathpazo, which look nice [*]. It seems however a... |
I wish to calculate the degree of $\mathbb{Q}(\zeta_{10}) $ over $\mathbb{Q}$.
Using the dimensions theorem: $[\mathbb{Q}(\zeta_{10}) : \mathbb{Q}]=[\mathbb{Q}(\zeta_{10}) : \mathbb{Q(\zeta_5)}] \cdot[\mathbb{Q}(\zeta_{5}) : \mathbb{Q}] = 2\cdot4=8$. Due to the fact that $x^4+x^3+x^2+x+1$ is irreducible and $x^2-\zeta_... |
Because you are looking only at the so-called
global part, i.e. the part of the gauge transformation which resembles a group action.
Recall that the vector bosons transform as$$A_\mu \to g A_\mu g^{-1} - (\partial_\mu g) g^{-1}$$where the first part is the
global part of the gauge transformation, which tells you that $... |
PCTeX Talk Discussions on TeX, LaTeX, fonts, and typesetting
Author Message murray Joined: 07 Feb 2006 Posts: 47 Location: Amherst, MA, USA
Posted: Wed Mar 15, 2006 10:53 pm Post subject: Y&Y TeX vs. MiKTeX with MathTimePro2 fonts I used updated fonts just prior to posting of 0.98.
Initially I had different page breaks... |
Let $R$ be a principal ideal domain but not a field, and let $M$ be an $R$-module. Show the following:
(i) Let $p \in R$ be an irreducible element and $r \in R \setminus \{0\}$. Then $(R/ \langle r \rangle)[p] \cong R/ \langle p^n \rangle$, where $n=\max\{k \in \mathbb N_0 : p^k\mid r\}$.
(ii) $M$ is simple iff $\exist... |
Let $M$ be a compact manifold of dimension $m$ and of class at least $C^2$ embedded in $R^n$. For $x\in M$ let $N_x(\varepsilon)$ be the intersection $T_xM^\bot\cap B(x,\varepsilon)$, where $T_xM^\bot$ is orthogonal complement of $T_xM$ in $T_x\mathbb R^n$ and $B(x,\varepsilon)$ is the open ball.
Under this assumptions... |
I have a question. Given a vector equation such as F = ma, how can we obtain a general expression for m, the mass? If the equation was scalar, this could easily be done by dividing F by a; however, we are dealing with vectors, and, to my knowledge, a vector divided by another vector is not defined in vector algebra. Th... |
Colin Beveridge tweeted about the following Formula for Pi the other day:
\(\pi = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} – \frac{1}{5} + \frac{1}{6} + \ldots\)
With the exact formula being:
After the first two terms, the signs are determined as follows: If the denominator is a prime of the form 4
m – 1, the sign i... |
Both the Royal Society of Chemistry journals and the American Chemical Society journals use ScholarOne Manuscripts™ as their web submission platform. In both cases,
the system is able to compile LaTeX documents into a PDF file. There are, however, strict requirements about the type of LaTeX document you can use. These ... |
You
could say IS-LM is too simplistic.
The fundamental discrete time consumption-based asset pricing equation says that if $ r_t $ is the risk-free interest rate at time $ t $, we have
$$ \beta (1+r_t) \frac{u'(C_{t+1})}{u'(C_t)} = 1 $$
(I'm dropping the expectation since I will be working with a perfect foresight mode... |
Or, “Oh, Wikipedia, How I Love Thee. Let me count the ways: one, two, phi…”
It has been noted disquisitively [link] that the number 1001 of Duchamp’s entry at the 1912 Indépendants catalogue also happens to represent an integer based number of the Golden ratio base, related to the golden section, something of much inte... |
You didn't show your equations, so it's hard to say why you got that unphysical answer. Perhaps you tried to add speeds linearly instead of using the proper relativistic formula for composition of velocities.
For collinear motion, the formula (which can easily be derived from the Lorentz transformations) is
$$w = \frac... |
12.2 - Correlation
In this course we have been using Pearson's \(r\) as a measure of the correlation between two quantitative variables. In a sample, we use the symbol \(r\). In a population, we use the symbol \(\rho\) ("rho").
Pearson's \(r\) can easily be computed using Minitab Express. However, understanding the con... |
I have a matrix $A$ with dimensions $M \times N$ and I want to compute $A'$ such that:
$$ A'_{i,j} = \alpha A'_{i,j-1} + (1 - \alpha) A_{i,j} \\ 1 \leq i \leq M, 1 \leq j \leq N, \alpha \in [0, 1] $$
Where $A'_{i,0}$ is some given constant.
I want to perform this computation as part of a machine learning training proce... |
Univariate Normal Distributions Section
Before defining the multivariate normal distribution we will visit the univariate normal distribution. A random variable
X is normally distributed with mean \(\mu\) and variance \(\sigma^{2}\) if it has the probability density function of X as:
\(\phi(x) = \frac{1}{\sqrt{2\pi\sig... |
closed as too broad by CuriousOne, ACuriousMind♦, Martin, Kyle Kanos, John Rennie May 13 '15 at 6:21
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. ... |
Liouville's Theorem states that every bounded entire function must be constant. Does it work in real analysis? Justify your answer! I asked it because Liouville's Theorem is proved by complex analysis.
Actually it does work in real analysis. The question is only which condition replaces the "entire" because it is certa... |
Venue: Seminar Room “-1” – Department of Mathematics – Via Sommarive, 14 Povo - Trento Time: 10.30 a.m. Pierpaola Santarsiero- PhD in Mathematics Abstract:
Given a non degenerate irreducible projective variety $X$, its $2$-secant variety is defined as the Zariski closure of the union of the spans of any two points of t... |
I don't think this is possible for general $\epsilon$, and I doubt it's possible for remainder $0.0001$.
Below are some solutions with remainder less than $0.01$. I produced them by randomized search from two different initial configurations. In the first one, I only placed the circle with curvature $2$ in the centre a... |
Definition:Isolated Singularity/Pole
Jump to navigation Jump to search
Then $z_0$ is a
Definition
Let $U$ be an open subset of a Riemann surface.
Let $z_0 \in U$.
Let $f: U \setminus \set {z_0} \to \C$ be a holomorphic function.
Let $z_0$ be an isolated singularity of $f$.
Then $z_0$ is a
pole if and only if: $\display... |
[pstricks] Searching for a numeric solution for coupled differential equation systems of order 2 Alexander Grahn A.Grahn at hzdr.de Fri May 25 13:02:23 CEST 2012 On Fri, May 25, 2012 at 01:52:18PM +0300, Manfred Braun wrote:
> On 25.05.2012, at 12:15, Alexander Grahn wrote:
>
>> On Thu, May 24, 2012 at 10:21:06PM +0200... |
The next thing that we would like to be able to do is to describe the shape of this ellipse mathematically so that we can understand how the data are distributed in multiple dimensions under a multivariate normal. To do this we first must define the eigenvalues and the eigenvectors of a matrix.
In particular we will co... |
But if you don't want to have a Google account: Chrome is really good. Much faster than FF (I can't run FF on either of the laptops here) and more reliable (it restores your previous session if it crashes with 100% certainty).
And Chrome has a Personal Blocklist extension which does what you want.
: )
Of course you alr... |
The bounty period lasts 7 days. Bounties must have a minimum duration of at least 1 day. After the bounty ends, there is a grace period of 24 hours to manually award the bounty. Simply click the bounty award icon next to each answer to permanently award your bounty to the answerer. (You cannot award a bounty to your ow... |
The equation in the title won't make since till halfway down. Let us suppose we are looking at some nonflat spacetime equipped with a metric $g_{\mu\nu}$. Furthermore our manifold admits a covering set of tetrads (vielbeins/framefields whatever you want to call them) such that we can define a local “lab frame”.
$$\eta_... |
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... |
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... |
it's claimed that the running time of QuickSort is $∼1.39\,n\log_2n$
I don't have the book handy, but it it most certainly does not claim this. That figure is the result of a close analysis of a very specific cost measure (which "time" is not); expected number of comparisons, if I remember correctly.
The proof is given... |
This kind of language use has often confused me. It is clearer to say the following:
First Definition of Differentiability:
Suppose we are given a function $g:\mathbb{R} \to \mathbb{R}$ and a number $t \in \mathbb{R}$. We say $g$ is differentiable at the point $t$ if the limit
\begin{equation}
\lim_{x \to t} \dfrac{g(x... |
Example 4-4: Wechsler Adult Intelligence Scale Section
Here we have data on
n = 37 subjects taking the Wechsler Adult Intelligence Test. This test is broken up into four different components: Information (Info) Similarities (Sim) Arithmetic (Arith) Picture Completion (Pic)
The data are stored in five different columns.... |
Zero dimensional points do not take up space, so then wouldn't everything in the universe be literally empty? Or is there something that I'm missing?
Although it's commonly said that fundamental particles are point particles you need to be clear what this means. To measure the size of the particle to within some experi... |
To use a simple example, assume that consumer $i$ maximizes
$$U(x_i,y_i,I_i) = \alpha\ln x_i +(1-\alpha)\ln y_i + (\bar I_i-p_xx_i -p_yy_i)\\s.t. \bar I_i \geq p_xx_i +p_yy_i$$
In other words, it may spend all his income on the two goods (but not more), or he may keep some for other goods, not modeled here. Due to the ... |
Your confusion really just comes down to understanding the notation that is widely used for partial derivatives.
For simplicity, I'll restrict the discussion to a system with one coordinate degree of freedom $x$. In this case, the Lagrangian is a real valued function of two real variables which we suggestively
label by... |
Title:
Ejs Open Source Charge Particle in Magnetic Field B Java Applet in 3D
Post by:
lookang on October 04, 2010, 02:04:38 pm
Ejs Open Source Charge Particle in Magnetic Field B Java Applet in 3D
reference:
http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1800.msg7327#msg7327 Created by prof Hwang Modified by Ahmed... |
that the electron and the proton are a particle pair
This may appear inconsistent with current theory, as it is widely assumed that particle pairs created in a single event, must have opposite charge and equal mass (matter/antimatter). This assumption turns out to be wrong.
We shall see that the difference in mass betw... |
ä is in the extended latin block and n is in the basic latin block so there is a transition there, but you would have hoped \setTransitionsForLatin would have not inserted any code at that point as both those blocks are listed as part of the latin block, but apparently not.... — David Carlisle12 secs ago
@egreg you are... |
Frustum of a right circular cone is that portion of right circular cone included between the base and a section parallel to the base not passing through the vertex.
Properties of Frustum of Right Circular Cone The altitude of a frustum of a right circular cone is the perpendicular distance between the two bases. It is ... |
Sometimes, especially in introductory courses the instructor will try to keep things "focused" in order to promote learning. Still, it's unfortunate that the instructor couldn't respond in a more positive and stimulating way to your question.
These reactions do occur at $\ce{sp^2}$ hybridized carbon atoms, they are oft... |
f is continuous and bounded on $[a,b]$ such that $c,d\in[a,b]\subset \mathbb{R}$.
Let $\alpha :=inf\left\{f(x):x\in [a,b]\right\}$. This exists because f is continuous on the bounded interval $[a,b]$. (What is it's infimum?)
$\alpha$ denoted as the infimum of the function $f$ on $[a,b]\Rightarrow \alpha+\frac 1n $ isn'... |
I'd be interested in knowing if there are any problems that are easier to solve in a higher dimension, i.e. using solutions in a higher dimension that don't have an equally optimal counterpart in a lower dimension, particularly common (or uncommon) geometry and discrete math problems.
The kissing number problem asks ho... |
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... |
a) Correct. The new equilibrium position occurs at distance $x=mg/k$ below the initial position (where the collision occurred). Alternatively it is $X=(M+m)g/k$ below the top of the unloaded spring (with no cymbal attached).
b) The new angular frequency of oscillations can be written down without any calculation : $\om... |
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