text stringlengths 256 16.4k |
|---|
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 ... |
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... |
I am trying to understand the way Smith demonstrates that the general solution to his equation (12) is (13) (see page 6).
(12) \begin{eqnarray} \dot{z} &=& (1- \alpha)\left[1-\left(\delta + \frac{\bar{x}}{1+\bar{x}Ae^{\bar{x}t}}\right)z\right] \end{eqnarray}
In the Appendix I demonstrate that the general solution to Eq... |
Square brackets $[\;]$ will denote taking the ring of polynomials, and round brackets $(\;)$ will denote taking the field of rational functions.
My homework assignment from about a month ago had the following problem in it.
Find the Galois group of the field extension $\mathbb F_3(x^4)\subset\mathbb F_{3^2}(x).$
I didn... |
RS Aggarwal Class 9 Chapter 4 – Lines And Triangles Ex 4B Solutions Free PDF
The RS Aggarwal Class 9 Solutions Chapter 4 Angles, Lines and Triangles Ex 4B have been formulated in accordance with the latest syllabus of the CBSE, which makes these solutions highly effective from exam point of view. It helps students to i... |
I'm following this tutorial where at somepoint the derived PDF for spherical coordinates for a Lambertian surface is
\begin{array}{l} p(\theta, \phi) = \dfrac{\sin \theta}{2 \pi}. \end{array}
But as soon as they compute a sample, the result is instead divided by $ \dfrac{1}{2\pi} $, which as they say is the "pdf of the... |
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... |
Suppose infinite 3D Euclidean space is uniformly filled with dense matter except a spherical cavity. Will a particle in this cavity experience gravitational acceleration towards the nearest wall?
Either there is no force, or the situation is ill-defined.
That "no force" is the only consistent answer is evident because ... |
Recent Posts Recent Comments Archives Categories Meta Author Archives: jal6318
Climate change has been a recognized problem for years now. Although we all want to help, no action has taken place by every citizen. Climate change effects weather, our lives, food, water and mostly the ice caps. We know the … Continue read... |
In this module:
Example (ABC Farming Co): net present value (NPV) in table format Excel pointers and the fill handle Net present value
An important concept in finance is the application of the
Net Present Value method to project evaluation. Example: ABC Farming Co is considering an investment of $80,000 in a new carrot... |
8.1.1.1.4 - Example: Seatbelt Usage
In the year 2001 Youth Risk Behavior survey done by the U.S. Centers for Disease Control, 747 out of 1168 female 12th graders said they always use a seatbelt when driving. Let’s construct a 95% confidence interval for the proportion of 12th grade females in the population who always ... |
How do you measure mass? Weight is easy using a scale, but we can't measure mass that way, because then mass would be different on every planet. I know there was a Veritasium video (here) on defining what, exactly, one kilogram was, but they can only define that if they know some previous measurement (i.e., one cube of... |
I was reading up on various graph algorithms (Dijkstra's algorithm and some variants) and found the runtime $O(m + n \log n)$, where $m$ is the number of edges in the graph and $n$ is the number of nodes. Intuitively, this makes sense, but I recently realized that I don't know, formally, what this statement means.
The ... |
I'm trying to find the probability distribution of a sum of a random number of variables which aren't identically distributed. Here's an example:
John works at a customer service call center. He receives calls with problems and tries to solve them. The ones he can't solve, he forwards them to his superior. Let's assume... |
Let $y$ be the proportion in $[0,1]$ instead of the percentage. I think the issues here are possible nonlinearity and censoring. You can try including quadratic terms on the right hand side. At the same time, you can try the following models.
I. Linear models: If no $y$ is exactly 0 or 1, linear models will be OK. The ... |
Given a list of floating point numbers,
standardize it. Details A list \$x_1,x_2,\ldots,x_n\$ is standardizedif the meanof all values is 0, and the standard deviationis 1. One way to compute this is by first computing the mean \$\mu\$ and the standard deviation \$\sigma\$ as $$ \mu = \frac1n\sum_{i=1}^n x_i \qquad \sig... |
-
Calculus
(
http://mymathforum.com/calculus/
)
Omnipotent September 17th, 2017 07:33 AM
Inverse of KT Probability Weighting Function http://oi67.tinypic.com/28uo45i.jpg
I'm trying to find the inverse function of above. I can't seem to get it right, and websites such as wolfram and symbolab aren't working for me as wel... |
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... |
Probability Distributions
Summary
The DynaML
dynaml.probability.distributions package leverages and extends the
breeze.stats.distributions package. Below is a list of distributions implemented.
Specifying Distributions¶
Every probability density function \rho(x) defined over some domain x \in \mathcal{X} can be represe... |
Ok, Xenapior and Reynolds together have the right idea. But the explanation is a bit lacking so here is a image to explain it all and some further musings. First let us start by drawing an image (yes i know that is what they say in school for you to do but nobody does it).
From the image we can see that there are 2 equ... |
As a first remark: the Anscombe-Aumann axioms, in particular Independence, are defined over acts taking the state space to a linear space (generally simple lotteries over consumption objects). Even when we consider the restriction of the model to purely subjectively uncertain acts, we still need to employ the full mode... |
Let $n\geqslant 3$. Show that the unique element $\sigma$ of $S_n$ that satisfies $\sigma\gamma=\gamma\sigma$ for all of $\gamma\in S_n$ is the identity(id.)
Prepostion: If $\alpha,\beta$ are disjoint, they commute.
If we have $\alpha\in S_n$, then $id\circ\alpha=\alpha\circ id=\alpha$
Question:
I am not understanding ... |
12.2.1.2 - Example: Age & Height
Data concerning body measurements from 507 adults retrieved from body.dat.txt for more information see body.txt. In this example we will use the variables of age (in years) and height (in centimeters).
Research question: Is there a relationship between age and height in adults?
Age (in ... |
In water wave physics, when we say that the wave "feels" the bottom, we mean that the water depth affects the properties of the wave.The dispersion relationship for water waves is:$$\omega^2 = gk \tanh{(kd)}$$where $\omega$ is the wave frequency, $k$ is the wavenumber, $d$ is the mean water depth, and $g$ is gravitatio... |
On the method of orthogonal extension of overdetermined systems I. S. Gudovich Abstract: In the article a description is given of Noether boundary value problems for overdetermined systems of partial differential equations with constant coefficients of the form
\begin{equation}
\mathscr L(D)u=f,\qquad\mathscr W^*(D)u=g... |
This vignette illustrates the use of
mitml for the treatment of missing data at Level 2. Specifically, the vignette addresses the following topics:
Further information can be found in the other vignettes and the package documentation.
For purposes of this vignette, we make use of the
leadership data set, which contains... |
In a linear regression problem with sparsity constraint, $P = (P_1, \cdots, P_N)^{T}$ is the column vector of the outputs, and $D = (d_{j, k})$ is the $(N \times M)$- dimensional matrix of inputs. The objective function is
$$\text{argmin}_{c \in \Bbb R^{M}} (\Vert P - Dc \Vert_2^2 + \lambda \Vert c \Vert_0)$$
in which ... |
People often say some event has a 50-60% chance of happening. Sometimes I will even see people give explicit error bars on probability assignments. Do these statements have any meaning or are they just a linguistic quirk of discomfort choosing a specific number for something that is inherently unknowable?
It wouldn't m... |
Under a Lorentz transformation, a spinor living in \(d\) dimensions transforms as
\(\psi (x) \rightarrow \psi'(x') = e^{\frac{1}{2} \lambda^{\mu \nu} \Sigma_{\mu \nu}} \psi (x)\)
up to some numerical factors in the exponential from convention. This is only true if we're dealing with the orthochronous proper Lorentz tra... |
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 derived category of abelian groups is somewhat special that makes the Künneth and universal coefficient theorems take an unusually special form.
An abstract way to state this property is
Theorem: Every element of the derived category of abelian groups is the direct sum of one-term complexes
Proof: Every chain compl... |
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... |
Okay. Let $A \subseteq \Bbb{R}^\omega$ be the set of all bounded sequences in $\Bbb{R}$. The problem I am working on is trying to show that $x \in \Bbb{R}^\omega$ is lies in the same component of $0$ if and only if $x$ is a bounded sequence, where $\Bbb{R}^\omega$ is endowed with the uniform topology; or, in other word... |
Your question is based on a misapprehension. The heating in microwave ovens is not a resonant process. See the answers to Does a domestic microwave work by emitting an electromagnetic wave at the same frequency as a OH bond in water? for a discussion of this.
But let's leave this aside, because there is some interestin... |
The word "Earth" is sometimes misleading. I think (if I get the sense of your question right), it is more properly called a "Protective Earth". In home electricity supplies, one side of the supply is "tethered" to the same potential as a
protective earth circuit. This latter is simply a system of conductors, going thro... |
G is an abelian group with the following property:
(*) If H is any subgroup of G then there exists a subgroup F of G such that G/H is isomorphic to F.
Now I want to prove that If G is finitely generated abelian group and G has the above property then G is finite.
this is my solution and I have a sense that it is not co... |
I have a photon counting system that uses a gated avalanche diode to detect single photons. The repetition frequency of the gates is $f_1$ and the temporal gate width is $\tau_1$ (so the duty cycle is $\tau_1 f_1$)
I want to get an estimate of the quantum efficiency $\eta_{\lambda}$, i.e., the probability of detecting ... |
Consider a static, complete information game with 2 players.
Strategy sets are $S_1=\{U,D\},S_2=\{l,m,r\}$.
Payoffs are irrelevant to this question as I am trying to get the concept of rationalizability correct.
Suppose I want to verify whether $m$ is a rationalizable strategy for player 2.
Then, I want to ask the foll... |
3.4.2.1 - Formulas for Computing Pearson's r
There are a number of different versions of the formula for computing Pearson's \(r\). You should get the same correlation value regardless of which formula you use.
Note that you will not have to compute Pearson's \(r\) by hand in this course. These formulas are presented h... |
I'm a beginner in using LaTeX and my problem is that the dots of the following diagram are too close to the boundary (the dots should have the same distance to the boundary than the text), and the terms in the lower row of this diagram look much bigger than the terms in the upper row... i.e. the whole diagram looks ugl... |
Area can be defined using calculus. Suppose you have a square in $\mathbb{R}^2$.Let $x$ be the change in the first coordinate going from E to D. Let $y$ be the change in the second coordinate going from E to D. We can see that the area of the square is $(x - y)^2 + 2xy = x^2 - 2xy + y^2 + 2xy = x^2 + y^2$. With no assu... |
Suppose $a<b$ and $f:[a,b] \to [a,b]$ be continous. Suppose that $x \neq y$ in $[a,b]$ with $f(x)=y$ and $f(y)=x$. Prove that $f$ has a fixed point in $(x,y)$.
So I was thinking of considering the function $g(x)=f(x)-x$, which we know is continuous. Then we also know that because $f(a) \geq a$ that $g(a)=f(a)-a \geq 0$... |
Basic tutorial: qubit rotation¶
To see how PennyLane allows the easy construction and optimization of quantum functions, let’sconsider the simple case of
qubit rotation the PennyLane version of the ‘Hello, world!’example.
The task at hand is to optimize two rotation gates in order to flip a single qubit from state \(\l... |
Smoothing Estimate of Intensity as Function of a Covariate
Computes a smoothing estimate of the intensity of a point process, as a function of a (continuous) spatial covariate.
Usage
rhohat(object, covariate, ...)
# S3 method for ppprhohat(object, covariate, ..., baseline=NULL, weights=NULL, method=c("ratio", "reweight... |
Let $A=:\{(x,x)|x\in[0,1]\}\subset[0,1]\times[0,1]$
I see A as $A=\{(x,y)|x\in[0,1]|x=y\}$ so it is a straight line bounded by points $(0,0)$ and $(1,1)$ if I understand this construction.
Is this set countable?
I could not find a suitable injective function from $A$ to $\mathbb{N}$ so I was thinking of taking other ap... |
@egreg It does this "I just need to make use of the standard hyphenation function of LaTeX, except "behind the scenes", without actually typesetting anything." (if not typesetting includes typesetting in a hidden box) it doesn't address the use case that he said he wanted that for
@JosephWright ah yes, unlike the hyphe... |
Lesson 13: Proportional Hazards Regression
After reading this lesson material, you will be able to:
differentiate between a proportional hazards regression and logistic regression. define a hazard ratio
Suppose you wish to consider the impact of a risk factor on the
time to the occurrence of an event. For example, Arnl... |
These three circuits are all equivalent:
(A)
A resistor at nonzero temperature, which has Johnson noise;
(B)
A noiseless resistor in series
with a noise-creating voltage source (i.e. the Thévenin equivalent
circuit);
(C)
A noiseless resistance in parallel
with a noise-creating current source (i.e. the Norton equivalent... |
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... |
In the experts problem, $n$ experts give you binary predictions on a daily basis, and you have to predict whether it's going to rain tomorrow.
That is, at day $t$, you know the past predictions of the experts, the actual weather for days $1,2,\ldots t$, and the predictions for tomorrows, and have to predict whether it ... |
This may be a sledgehammer for your problem but there is a general theorem.
Poincare theorem$\color{blue}{{}^{[1]}}$
Given any recurrence relations with non-constant coefficients
$$x_{n+k} + p_1(n)x_{n+k-1} + p_2(n)x_{n+k-2} + \cdots + p_k(n) x_{n} = 0\tag{*1}$$
such that there are real numbers $p_i, 1 \le i \le k$ wit... |
Check My Steps
Quickly and easily check your algebra steps using this simple GeoGebra utility.
Enter each step in the math box below, and press the
ADD STEP (+)button. After each step, or at the end, tap Check My StepsYou may also tap Show Editorand enter your steps directly into the Editor. (If you need to make correc... |
In Finding Lexicographic Orders for Termination Proofs in Isabelle/Holl the authors construct a method for proving termination of functions based on constructing a matrix that registers for each row the recursive calls in the body and for each column a measure. The matrix itself contains the information about the decre... |
Prosjek
You are given an array of $N$ integers. Find a consecutive subsequence of numbers of the length at least $K$ that has the maximal possible average.
Input
The first line of input contains two integers $N$ ($1 \leq N \leq 3 \cdot 10^5$) and $K$ ($1 \leq K \leq N$). The second line of input contains $N$ integers $... |
Difference between revisions of "Lebesgue integral"
m (some TeX)
m (some Tex)
Line 5: Line 5:
[[Category:TeX wanted]]
[[Category:TeX wanted]]
−
The most important generalization of the concept of an [[Integral|integral]]. Let $(X,\mu)$ be a space with a non-negative complete countably-additive measure $\mu$ (cf. [[Coun... |
Naively, in my very limited awareness, it feels that the Max-CUT is a very "special" NP-Hard problem because for a graph with edge-set $E$, it can be written as the question of trying to maximize a $n$ variable polynomial $\sum_{(i,j)\in E} \frac{ (x_i - x_j)^2 }{4}$ over the hypercube $\{ -1, 1\}^n$.
Is Max-CUT really... |
We use the standard notation that we have been using all along:
\(X_{ik}\)= Response for variable kin sample unit i(the number of individual species kat site i) \(n\) = Number of sample units \(p\) = Number of variables
Johnson and Wichern list four different measures of association (similarity) that are frequently use... |
Consider a mechanism $M: \mathcal{R} \rightarrow X$, where
$\mathcal{R}$ is a domain of preference profiles $R = (R_1,\dots, R_n)$, and $X$ is a set of outcomes.
I believe that the following is a folk theorem
If the domain $\mathcal{R}$ is a cartesian domain, i.e., $\mathcal{R} = \times_{i\in \{1,\dots,n\}} \mathcal{R}... |
It depends on how you define "growth". Trade models have multiple goods in them, so there's no unique way to define "growth" - you are just moving along a fixed production possibility frontier. You can calculate nominal GDP, but then you have to come up with a measure of inflation so that you can deflate the nominal fi... |
Calculate (via two methods) the flux integral $$\int_S (\nabla \times \vec{F}) \cdot \vec{n} dS$$ where $\vec{F} = (y,z,x^2y^2)$ and $S$ is the surface given by $z = x^2 +y^2$ and $0 \leq z \leq 4$, oriented so that $\vec{n}$ points downwards.
I have applied Stokes' Theorem and resulted with $$\oint_{\partial S} \vec{F... |
a) Regular implies normal.
Okay, maybe that's too high-tech. If $f=g+hy$ lies in the integral closure, then it satisfies the quadratic polynomial $(z-g)^2 - h^2(x^3-x)$. If the coefficients are polynomials (which they must be, by Gauss's Lemma), then $g$ is a polynomial, and $h^2 (x^3-x)$ is a polynomial. But $x^3-x$ i... |
Current browse context:
gr-qc
Change to browse by: Bookmark(what is this?) General Relativity and Quantum Cosmology Title: Longterm general relativistic simulation of binary neutron stars collapsing to a black hole
(Submitted on 29 Apr 2009 (v1), last revised 31 Aug 2009 (this version, v2))
Abstract: General relativist... |
A matrix $M$ is
sorted if $M_{i,j}\leq M_{i+1,j}$ and $M_{i,j}\leq M_{i,j+1}$.
Consider the following problem.
Search in a sorted matrix
Given a $n\times m$ sorted matrix $M$, where $n\leq m$. There is a hidden number $x$. We have access to an oracle $f$, where $f(y)$ returns if $y< x$, $y=x$ or $y>x$. Decide if $x$ is... |
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... |
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... |
The Breit Wigner cross section derived in my lecture notes is
$\sigma = \frac{g\pi}{p_i^2}\frac{\Gamma_{Z\rightarrow i}\Gamma_{Z \rightarrow f}}{(E-E_0)^2+\frac{\Gamma^2}{4}}$
where $g$ is the spin degeneracy factor, $\Gamma$ is the resonance width for the intermediate particle $Z$, and $\Gamma_{Z \rightarrow i/f}$ are... |
The classical 2d Ising model has a Hamiltonian of the form:
\begin{equation} H = -\sum_{m,n = 0}^{M,N} J_1 x_{m,n}x_{m+1,n} + J_2 x_{m,n}x_{m,n+1} \end{equation}
The partition function for the model can be written as the sum over all configuration sof the spins $x_{ij}$ times the boltzman factor. Up to an over all mult... |
Kutta-Merson method
A five-stage Runge–Kutta method with fourth-order accuracy. Applied to the Cauchy problem
$$y'(x)=f(x,y(x)),\quad x_0\leq x\leq X,\quad y(x_0)=y_0,\tag{1}$$
the method is as follows: \begin{equation}\label{eq2}\tag{2} \begin{gathered} k_1 = h f(x_0,y_0), \quad y_0 = y(x_0),\\ k_2 = h f \big( x_0 + \... |
I have the following problem that asks me to solve for the "maximal growth portfolio."
Suppose that the equilibrium stochastic discount factor evolves as $$ \log S_{t+1} - \log S_t = \kappa_s(X_t, W_{t+1}). $$Solve the following maximization problem: \begin{equation*} \begin{aligned} & \underset{x}{\text{maximize}} & &... |
This is an interesting question! I apologize if the following is unnecesarily verbose, but there's a lot of math to keep track of.
If you have an object $P$ moving around in an arbitrary time-dependent (
but rigid) coordinate frame $\mathcal{B}$ with possibly moving origin $\mathcal{O_B}$, you can check how accurately ... |
Search
Now showing items 31-40 of 165
Transverse sphericity of primary charged particles in minimum bias proton-proton collisions at $\sqrt{s}$=0.9, 2.76 and 7 TeV
(Springer, 2012-09)
Measurements of the sphericity of primary charged particles in minimum bias proton--proton collisions at $\sqrt{s}$=0.9, 2.76 and 7 TeV ... |
Consider an improper integral such that: $$I = \int_0^{+\infty} \frac{f(x)}{x}dx.$$
If $\int_0^{+\infty}f(x)dx < + \infty$, Can we conclude that the integral I converges? Thanks for any answer or suggestion.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals... |
I have been told that $$[\hat x^2,\hat p^2]=2i\hbar (\hat x\hat p+\hat p\hat x)$$ illustrates
. operator ordering ambiguity
What does that mean? I tried googling but to no avail.
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It only takes a minute to sig... |
Search
Now showing items 1-1 of 1
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
Search
Now showing items 21-27 of 27
Measurement of transverse energy at midrapidity in Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$ TeV
(American Physical Society, 2016-09)
We report the transverse energy ($E_{\mathrm T}$) measured with ALICE at midrapidity in Pb-Pb collisions at ${\sqrt{s_{\mathrm {NN}}}}$ = 2.76 T... |
2018-08-25 06:58
Recent developments of the CERN RD50 collaboration / Menichelli, David (U. Florence (main) ; INFN, Florence)/CERN RD50 The objective of the RD50 collaboration is to develop radiation hard semiconductor detectors for very high luminosity colliders, particularly to face the requirements of the possible u... |
Introduction:
Mankind has been fascinated with $\pi$, the ratio between the circumference of a circle and its diameter, for at least 2500 years. Ancient Hebrews used the approximation 3 (see 1 Kings 7:23 and 2 Chron. 4:2). Babylonians used the approximation 3 1/8. Archimedes, in the first rigorous analysis of $\pi$, pr... |
I don't understand why the conservation of angular momentum can imply an acceleration, in absence of a force.
Consider for istance planetary motion. The angular momentum $\vec{L}$ of the planets is conserved and that means $\mid \vec{L} \mid=mr^2 \dot{\theta}=mrv_{\theta}$ is conserved too.
Consider the acceleration in... |
The following is an about a Left-Right Symmetric model.
$SU(2)\otimes SU(2)$ $(2\otimes 2=3\oplus 1)$ will generate a triplet, which in Left-Right Symmetric model is $$\vec{\Delta}=\begin{pmatrix}\delta_{1}\\ \delta_{2} \\ \delta_{3} \end{pmatrix}$$. The $SU(2)$ quantum number/charge on above is $$\begin{pmatrix} 1\\0\... |
I am having trouble with this example :
As it says that the contact angle of the glass water interface is $0^{\circ}$ , so the force due to surface tension should act downward on the plates (rather than along the horizontal which would've given a clear idea of attractive interactions).
However, I also notice that the t... |
@egreg It does this "I just need to make use of the standard hyphenation function of LaTeX, except "behind the scenes", without actually typesetting anything." (if not typesetting includes typesetting in a hidden box) it doesn't address the use case that he said he wanted that for
@JosephWright ah yes, unlike the hyphe... |
Bulletin of the American Physical Society APS March Meeting 2013 Volume 58, Number 1 Monday–Friday, March 18–22, 2013; Baltimore, Maryland
Session T13: Focus Session: Topological Materials - Quasi 1-dimensional Hide Abstracts Sponsoring Units: DMP
Chair: Joel Moore, University of California, Berkeley
Room:
315
Thursday... |
Please assume that this graph is a highly magnified section of the derivative of some function, say $F(x)$. Let's denote the derivative by $f(x)$.Let's denote the width of a sample by $h$ where $$h\rightarrow0$$Now, for finding the area under the curve between the bounds $a ~\& ~b $ we can a...
@Ultradark You can try d... |
Edit: The algebra I speak of here is not actually the Grassmann numbers at all -- they are $\mathbb{R}[X]/(X^n)$, whose generators don't satisfy the anticommutativity relation even though they satisfy all the nilpotency relations. The dual-number stuff for 2 by 2 is still correct, just ignore my use of the word "Grassm... |
Whenever you make a part in inventor, the software calculates de properties of the whole body given a constant density. Then, automatically, it shows the inertial tensor. As you can recall from math, the inertia equation is $I_x= \rho\int(y^2+z^2)dV$ for the x axis. So, clearing rho, how can I get the right hand of the... |
I'm trying to understand the full bit-complexity of computing the determinant of an $n\times n$ integer matrix, with each entry represented by $M$ bits. I would like to know what is the state-of-the-art bit-complexity. As far as I could find, the two possible candidates are:
(1) The low-depth circuits, due to Csansky [... |
Electronic Journal of Probability Electron. J. Probab. Volume 18 (2013), paper no. 7, 21 pp. Regular conditional distributions of continuous max-infinitely divisible random fields Abstract
This paper is devoted to the prediction problem in extreme value theory. Our main result is an explicit expression of the regular c... |
"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... |
Lets define the class
$ZBQP = \{ L \mid \exists \textit{P-uniform circuit family } \{C_i\}, \forall n \in \mathbb{N}, |x| = n, |\langle 0|C_n|x \rangle - I(x \in L)| \leq 9/10 \Longleftrightarrow x \in L\}.$
We note a construction of Ashley Montanaro, that for any quantum circuit $C$ there exists some multilinear polyn... |
My 6 year old wants to know if infinity is an odd or even number. His 38 year old father is keen to know too.
In the context of transfinite ordinals, the usualdefinition is that an ordinal number $\alpha$ is
even ifit is a multiple of $2$, specifically: if there is anotherordinal $\beta$ such that $2\cdot\beta=\alpha$.... |
Definition:Upper Bound of Mapping/Real-Valued Definition
Let $f: S \to \R$ be a real-valued function.
Let $f$ be bounded above in $\R$ by $H \in \R$. Then $H$ is an upper bound of $f$.
Thus the construction:
The set of numbers which fulfil the propositional function $P \left({n}\right)$ is bounded above with the upper ... |
Difference between revisions of "Quasi-metric"
(References are added)
Line 16: Line 16:
|valign="top"|{{Ref|Sch}}|| V. Schroeder, "Quasi-metric and metric spaces". Conform. Geom. Dyn. 10, 355 - 360 (2006) {{ZBL|1113.54014}}
|valign="top"|{{Ref|Sch}}|| V. Schroeder, "Quasi-metric and metric spaces". Conform. Geom. Dyn. ... |
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 ... |
Let $X_n(\Bbb{Z})$ be the simplicial complex whose vertex set is $\Bbb{Z}$ and such that the vertices $v_0,...,v_k$ span a $k$-simplex if and only if $|v_i-v_j| \le n$ for every $i,j$. Prove that $X_n(\Bbb{Z})$ is $n$-dimensional...
no kidding, my maths is foundations (basic logic but not pedantic), calc 1 which I'm pr... |
I proceed assuming you wanted addition to stay the same (since you said nothing about changing it.)
If you don't care about distributivity, or you don't care about addition period, then yeah, you can take whatever function you want $\mathbb R\times\mathbb R\to \mathbb R$ and sometimes the order of the inputs will matte... |
One application of uncountable sums (or, to be more precise, sums along arbitrary index set) I am aware of is the definition of the Hilbert space $\ell_2(A)$.
A very basic example of a Hilbert space is the space $\ell_2=\ell_2(\mathbb N)$. The elements of this space are sequences such that $\sum\limits_{i\in\mathbb N} ... |
Hydrostatic equilibrium
We simulate the hydrostatic equilibrium of a box in heave and pitch, comparing the solution given by the linear and nonlinearapproximations.
We consider a box with the following dimensions \((L,B,H) = (8,4,2)m\), with a center of gravity located at the center of the box.Its mass is taken as
\[ma... |
Polygon is a word derived from The Greek language, where poly means many and gonna means angle. So we can say that in a plane, closed figure with many angles is called a polygon. The given diagram is how a polygon looks like:
There are many properties in a polygon like sides, diagonals, area, angles, etc. Lets know how... |
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 ... |
$$\lim_{x\to16}\frac{\sqrt[4]x-2}{x-16}$$
My suspicion is that I need to find the conjugate to get this in a more factorable form. From there, I think I can plug in $16$ to find the limit. The only issue is that I'm not quite sure how to factor this. This is my first Calc class and I've never factored anything quite li... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.