text stringlengths 256 16.4k |
|---|
This notebook uses Python to generate a list of relations and check their properties (reflexive, symmetric, antisymmetric, transitive, and equivalence). Defintions and examples are taken from lecture 15 and 16 of a discrete math course taught by Professor Maltais at the University of Ottawa during the 2017 winter semes... |
I'm studying the Principal Type (PT) Algorithm in Basic Simple Type Theory by J. Roger Hindley. One step to find the PT of a term is the Unification of types. The Robinson's Unification Algorithm uses a comparison procedure like as follow:
Comparison Procedure
Given a pair $(u, v)$ of types, write $u$ and $v$ as symbol... |
No, you are confusing things and you are not doing what you are required to do: you are not required to integrate the derivative of $\arctan$, but $\arctan$ itself.
Start by finding the Taylor series of $\arctan x$ around $0$:
$$(\arctan x)' = \frac 1 {1 + x^2} = \sum _{n = 0} ^\infty (-x^2)^n \implies \arctan x = \int... |
The 'hereditarily countable names' are as defined in Shelah's Proper and Improper Forcing, Chapter 3 Definition 4.1. Let $\mathbb{P}$ be a proper forcing notion and $\dot{Q}$ a $\mathbb{P}$-name such that $\Vdash_{\mathbb{P}}$ "$\dot{Q}$ is a proper forcing notion with set of elements $\check{\kappa}$ and maximal eleme... |
Answer
$ 1.52 \ h$
Work Step by Step
Using the equation for period, we find: $T = \sqrt{\frac{4\pi^2r}{a}}$ $T = \sqrt{\frac{4\pi^2(6.77\times10^6)}{8.73}}=5532\ s= 1.52 \ h$
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have
24 hours to send in ... |
Search
Now showing items 1-1 of 1
Higher harmonic flow coefficients of identified hadrons in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV
(Springer, 2016-09)
The elliptic, triangular, quadrangular and pentagonal anisotropic flow coefficients for $\pi^{\pm}$, $\mathrm{K}^{\pm}$ and p+$\overline{\mathrm{p}}$ in Pb-... |
We have $Z= \cos(2\pi/5)+i \sin(2\pi/5)$. Prove that:
$(1+z+z^2)(1+z+z^3)(1+z+z^4)=z(1+z)$
I noticed that in each bracket contain $(1+z)$, so I let $t$ equal $(1+z)$ to simplify the equation into $(t+z^2)(t+z^3)(t+z^4)=zt$, but I don't know what to do next. I also tried to multiply the parentheses too but then the equa... |
This shows you the differences between two versions of the page.
— definable_principal_congruences [2010/08/20 20:21] (current)
jipsen created
Line 1: Line 1: + =====Definable principle congruences===== + + A (quasi)variety $\mathcal{K}$ of algebraic structures has \emph{first-order definable principal (relative) congr... |
Simple Helmholtz equation¶
Let’s start by considering the modified Helmholtz equation on a unit square, \(\Omega\), with boundary \(\Gamma\):
for some known function \(f\). The solution to this equation will be some function \(u\in V\), for some suitable function space \(V\), that satisfies these equations. Note that t... |
I am not really familiar with the topic, thus I am looking for some references about the following problem.
Let $s>0$ be a positive real and let $p\in(1,+\infty)$. We define the Bessel Potential spaces on $\mathbb{R}^n$ via the Fourier transform $\mathcal{F}$ as follows. $$ H^{s,p}(\mathbb{R}^n)=\{f\in L^p(\mathbb{R^n}... |
I'm currently revising for a vibrations and waves module that I am taking as part of my physics degree.
One of the our final questions involved finding equations for the displacements of the two masses in this system as a superposition of their normal modes:
I found the equations of motion for each mass to be: $$ \ddot... |
Boundedness and large time behavior in a two-dimensional Keller-Segel-Navier-Stokes system with signal-dependent diffusion and sensitivity
Department of Mathematics, South China University of Technology, Guangzhou 510640, China
$\begin{cases}\tag{*}n_t+u·\nabla n = \nabla ·(d(c)\nabla n)-\nabla ·(χ (c) n\nabla c)+a n-b... |
One disadvantage of the fact that you have posted 5 identical answers (1, 2, 3, 4, 5) is that if other users have some comments about the website you created, they will post them in all these place. If you have some place online where you would like to receive feedback, you should probably also add link to that. — Mart... |
@HarryGindi So the $n$-simplices of $N(D^{op})$ are $Hom_{sCat}(\mathfrak{C}[n],D^{op})$. Are you using the fact that the whole simplicial set is the mapping simplicial object between cosimplicial simplicial categories, and taking the constant cosimplicial simplicial category in the right coordinate?
I guess I'm just v... |
...sort of... Two years ago, I was a staunch defender of the retirement of the Tevatron, the collider near Chicago, Illinois. The reason was that it just wasn't competitive anymore. The lower energy and amount of collisions relatively to the LHC translated to a much smaller probability of a legitimate discovery per uni... |
I am currently dealing with a problem concerning beamforming, where two "jointly stationary zero-mean white noise processes" form the input of an adaptive system. One of those processes resembles the actual signal $s[n]$, the other is an interference signal $v[n]$. Is it clear from the stated definition above that they... |
Is just it a coincidence that $$\frac{0.5}{ \cos^2(30)} = \frac{\tan(30)}{\cos(30)} $$ However $$\frac{0.5}{ \cos^2(13) } \neq \frac{\tan(13)}{\cos(13)} $$ is not equal ? And if not does anyone know a reason why they just so happen to be equatable?
It's simply because $\sin(30^\circ)=1/2$.
$$\frac{\tan(30)}{\cos(30)}=\... |
Let $Q(x_1,\dots,x_n)=X'PX$ be a quadratic form with all non-negative and integral coefficients given by $$Q(x_1,\dots,x_n)=\sum_{i=1}^cf_i^+(x_1,\dots,x_n)g_i^+(x_1,\dots,x_n)$$ where $c$ is the length of the expression where both $f_i^+,g_i^+$ are both linear in each variable with all non-negative and integral coeffi... |
A quadratic expression is completely factorizable if and only if its discriminant is positive. Given a quadratic expression of the form #ax^2+bx+c#, the discriminant #\Delta# is defined as #b^2-4ac#. In your case, we have #a=20#, #b=13# and #c=2#. For this values, we have #\Delta=9#, which means that we can factor the ... |
Ex.11.1 Q2 Constructions Solution - NCERT Maths Class 10 Question
Construct a triangle of sides \(4 \;\rm{cm}\), \(5 \;\rm{cm}\) and \(6\; \rm{cm}\) and then a triangle similar to it whose sides are \(\begin{align}\frac{2}{3}\end{align}\) of the corresponding sides of the first triangle.
Text Solution
What is known?
Si... |
Ex.5.3 Q6 Arithmetic Progressions Solution - NCERT Maths Class 10 Question
The first and the last term of an AP are \(17\) and \(350\) respectively. If the common difference is \(9,\) how many terms are there and what is their sum?
Text Solution What is Known?
\(a,{\rm{ }}l\), and \(d\)
What is Unknown?
\(n\) and \({S_... |
Answer
$\color{blue}{s=\dfrac{11\pi}{6}}$
Work Step by Step
Note that $\dfrac{\pi}{6}$ is a special angle and $\sin{(\dfrac{\pi}{6})}=\frac{1}{2}$. RECALL: An angle and its reference angle have either the same trigonometric values or they differ only in signs. Since $s$ must be in $\left[\dfrac{3\pi}{2}, 2\pi\right]$, ... |
Consider the typical WZ model with global symmetry $U(1)\times U(1)_R$. Usually we write the superpotential $W$ as
$$W = \frac{M}{2} \Phi^2 + \frac{\lambda}{3} \Phi^3$$
but you have simply done some rescaling, which is ok. I am writting it like this to agree with the usual convention. Then, we require that the, so to b... |
This is an interesting question, and although I don't know a rigorous answer, we can discuss some typical cases.
Usually, the inverse exists, but the cases where this inverse does not exist are not necessarily pathological (sound models can have the problem that the inverse does not exist).
For standard field theories ... |
Have found that in congruence arithmetic, division will not work unless the above condition is met.
A usual proof is given below, & want to algebraically find out the significance of the given condition:
Let $\exists m \in \mathbb{Z+}, \exists a, b,c \in \mathbb{Z}$. If $ac\equiv bc \pmod {m}$ and $(c, m)=1$, then $a\e... |
I'm taking a stochastic processes class, and we looked at the example of Gambler's ruin with infinite target, i.e. the gambler stops when he reaches 0 fortune or N, in the limit of N going to infinity.
For a finite target, in the case of $p=q$, the probability to ruin and expected time to ruin for starting fortune $a$ ... |
This question already has an answer here:
Im taking my first course in QFT and has stumbled upon something that I do not understand.
Given the Yang Mills lagrangian
$$\mathcal{L} = -\frac{1}{4}F^{a}_{\mu \nu}F^{a\mu \nu}$$
with $F^{\mu \nu} =F^{a\mu \nu} \frac{\sigma^{a}}{2}$ (the pauli matrices). How can I determine t... |
Considering the FRW metric with perturbations; how can I calculate the Einstein tensor (without a very very disgusting expression which comes from the variation of the difference between the Ricci tensor minus the metric tensor times the curvature)?
The problem concerns standard gravitational perturbation theory. Inste... |
Let's construct of random variables $X$ for which $E[X]E[1/X]=1$. Then, among them, we may follow some heuristics to obtain the all possible examples simplest possible example. These heuristics consist of giving the simplest possible values to all expressions that drop out of a preliminary analysis. This turns out to b... |
17 0 1. Homework Statement
Find the Fourier transform of [tex] H(x-a)e^{-bx}, [/tex] where H(x) is the Heaviside function.
2. Homework Equations
[tex] \mathcal{F}[f(t)]=\frac{1}{2 \pi} \int_{- \infty}^{\infty} f(t) \cdot e^{-i \omega t} dt [/tex]
Convolution theory equations that might be relevant:
[tex] \mathcal{F}[f(... |
The extremal solution of a boundary reaction problem
1.
Departamento de Ingeniería Matemática, CMM (UMI CNRS 2807), Universidad de Chile, Casilla 170/3, Correo 3, Santiago, Chile
2.
LAMFA CNRS UMR 6140, Université de Picardie Jules Verne, 33 rue Saint-Leu 80039Amiens Cedex 1, France
3.
Universidade Estadual de Campinas... |
Let $F$ be a Maass cusp form for $\mathrm{SL}(3,\mathbb{Z})$ (level 1 trivial character).
Let $g$ be a Maass cusp form for $\Gamma_0(N)$ with character $\chi$ mod $N$. For convenience, you may assume $\chi$ is primitive mod $N$. You may also take $g$ to be an Eisenstein series $E(z,s,\chi)=\sum_{\gamma\in \Gamma_\infty... |
Consider I am given two functions of one random variable each for example x=cos(at),y=rect(bt) where a and b are random variables.And I am given Probability density function for a and b then if I am asked if the two functions are independent or not so, I want to confirm that before proceeding I will have to convert the... |
The Monge-Ampère equation¶
The Monge-Ampère equation provides the solution to the optimal transportation problem between two measures. Here, we consider the case where the target measure is the usual Lebesgue measure, and the template measure is \(f(x)d^nx\), both defined on the same domain. Then, in two dimensions, th... |
This shows you the differences between two versions of the page.
partial_semigroups [2018/07/23 16:57]
jipsen
partial_semigroups [2018/08/04 17:55] (current)
jipsen
Line 6: Line 6: A \emph{partial semigroup} is a structure $\mathbf{A}=\langle A,\cdot\rangle$, where A \emph{partial semigroup} is a structure $\mathbf{A}=... |
We know that: $$\frac 1{2!}+\frac 1{3!}+\frac 1{4!}+\frac 1{5!}+\frac 1{6!}+\cdots =e-2\approx0.71828$$ But I am getting the above sum as $1,$ as shown below: \begin{align} S & = \frac 1{2!}+\frac 1{3!}+\frac 1{4!}+\frac 1{5!}+\frac 1{6!}+\cdots \\[10pt] & = \frac 1{2!} + \frac {3-2}{3!} +\fra...
Perhaps the chaos-theo... |
I am reading a paper, and I came across the following definition of sinc interpolation.
Warning. I don't have a strong background in signal processing. Also, I have no clue what that bar on $\bar{F}$ means. I don't know why that would be the conjugate. Would it actually be the conjugate? Context. In this part, for a gi... |
This feat is notorious for its poor wording. The “+100%” phrasing is completely unique within D&D 3.5e as far as I know, for example. Ultimately, I can’t imagine any other interpretation here than adding again the number subtracted from your attack rolls, and it does have the nice feature of specifying the “normal” dam... |
There are a number of imprecisions in your question, mostly having to do with confusing the Lie group and its Lie algebra. I suppose this will make it hard to read the mathematical literature. Having said that, the first volume of Kobayashi and Nomizu is probably the canonical reference.
Let me try to summarise. Let me... |
I'm studying Riemann-Darboux integration. I'm trying to prove the following rather intuitive notion for integrals. Please let me know if you find any errors in this proof, as I'm self-studying this topic.
Theorem: Suppose $f$ is Riemann-Darboux integrable on $[a,b]$. Let $c\in(a,b)$. Then, $f$ is Riemann-Darboux integr... |
It is a well-known result that the modular function $1728J(\tau) := \frac{1728E_4(\tau)^3}{E_4(\tau)^3-E_6(\tau)^2}$ has integral values if $\tau$ has class number 1 - for example at $\tau_{163}:=\frac{1+i\cdot\sqrt{163}}{2}$ you get $1728J(\tau_{163})=-640320^3$.
Now define the quasi-modular function $s_2(\tau):=\frac... |
First off, the fact that the board actually blocks the sun light going into the house may have cooled down the house itself (same effect as a solar screen). Since this question is about how the pressure and temperature will be changed after installing the Eco-Cooler air conditioner (the bottle board solely), I will giv... |
In my talk at 2018 Chinese Mathematical Logic Conference, I asked if \((V,\subset,P)\) is epsilon-complete, namely if the membership relation can be recovered in the reduct. Professor Joseph S. Miller approached to me during the dinner and pointed out that it is epsilon-complete. Let me explain how.
Theorem
Let \((V,\i... |
METHOD $1$:
We can proceed to evaluate the integral if we invoke Generalized Functions. To that end, we write the inverse Fourier Transform representation for $f$ as
$$f(t)=\frac{1}{2\pi}\int_{- \infty}^{ \infty}\frac{e^{j\omega t}}{a+j\omega}\,d\omega \tag 1$$
Then, note that the derivative $f'$ is given by
$$f'(t)=\f... |
Let $E \to F$ be a morphism of cohomology theories defined on finite CW complexes. Then by Brown representability, $E, F$ are represented by spectra, and the map $E \to F$ comes from a map of spectra. However, it is possible that the map on cohomology theories is zero while the map of spectra is not nullhomotopic. In o... |
Is there an ordinal $\alpha$ such that $ZF$ believes that $V_{\alpha}$ is a model of $ZF$? (If it is problematic to state this since we have to check infinitely many axioms at once, formalize logic in $ZF$. ) If $\alpha > \omega$ is a limit ordinal, then $V_{\alpha}$ is a model of $ZF - R$, where $R$ stands for the axi... |
I'm working to derive kinetic energy flux for fluids. I could not find a derivation online. I know from literature the correct answer is $ \phi_{kin} = (1/2) \rho v^3 $.
The specific context is in snapshots of fluids, so its okay to assume constant acceleration.
I being with the definition of kinetic energy
$$ E_k = \f... |
It runs some code and puts me back into typing mode, creating a file called step.cA for awesome wrote:Try runningdrc wrote:ntzfind keeps tossing errorsand tell me what happens. There's probably some error there that isn't getting displayed.
Code: Select all
g++ ntzfind-setup.cpp -o ntzfind-setup
Current rule interest: ... |
The answer is in the negative.
Let $f$ and $g$ be two upper densities (in the sense of the OP), and let $\alpha \in [0,1]$ and $q \in [1,\infty[$. Then the function $$h := (\alpha f^q + (1-\alpha) g^q)^{\frac{1}{q}}$$is an upper density too (in particular, condition (F3) follows from Minkowski's inequality, which is wh... |
Any Hamiltonian can be written in the form you give$$H=\sum_i\varepsilon_i|i\rangle\langle i|$$as long as the eigenstates form a basis. This is still true for a many-body system. So for a single qubit you'd have$$H_1=\varepsilon_0|0\rangle\langle 0|+\varepsilon_1|1\rangle\langle 1|$$And for two it'd look like$$H_2=\var... |
Ex.10.2 Q3 Circles Solution - NCERT Maths Class 10 Question
If tangents \(PA\) and \(PB\) from a point \(P\) to a circle with center \(O\) are inclined to each other at angle of \(80^\circ,\) then \(\angle {POA}\) is equal to
(A) \(50^\circ\)
(B) \(60^\circ\)
(C) \(70^\circ\)
(D) \(80^\circ\)
Text Solution What is Know... |
In signal processing, cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them. This is also known as a sliding dot product or sliding inner-product. It is commonly used for searching a long signal for a shorter, known feature. It has applications in pattern recog... |
Preprints (rote Reihe) des Fachbereich Mathematik Refine Keywords Brownian motion (2) (remove)
303
We show that the intersection local times \(\mu_p\) on the intersection of \(p\) independent planar Brownian paths have an average density of order three with respect to the gauge function \(r^2\pi\cdot (log(1/r)/\pi)^p\)... |
Currently going through a video on Counting Minimum Cuts by Tim Roughgarden. $(A_{i},B_{i}) = \big((A_{1},B_{1}), ..., (A_{t},B_{t})\big) \forall i \in \Bbb{R}$ $P\big((A_{i},B_{i})\big) \geq \frac{1}{\begin{pmatrix} n \\ 2 \end{pmatrix}} = p$, which I interpret as the lower bound on the probability of having at least ... |
In the Schwarzschild spacetime with metric in standard Schwarzschild coordinates
$$ds^2=\rho(r)dt^2-\rho(r)^{-1}dr^2-r^2d\Omega^2,\quad \rho(r)=1-\dfrac{2GM}{r},$$
we have a coordinate singularity at $r = 2GM$. This is the event horizon, and is a surface of the spacetime manifold $M$, which, although here defined by co... |
When reading the prefaces of many books devoted to the theory of inequalities, I found one thing repeatedly stated: Inequalities are used in all branches of mathematics. But seriously, how important are they? Having finished a standard freshman course in calculus, I have hardly ever used even the most renowned inequali... |
Today at 2 p.m., I will talk at Fudan Logic Seminar about natural reducts of set theory models.
Lecture: HGW2403, T 18:30-21 Section: HGW2403, R 18:30-20 Instruction for the final paper
You can choose one of the following topics.
An introduction to one specific forcing notion from this list (for Cohen forcing you can i... |
The seminal paper referred to is "Syntactic Analysis and Operator Precedence" (1963), which describes the operator precedence algorithm still used by many simple expression parsers today.
The basic approach described by Floyd was not exactly new. It was described by Edsger Dijkstra in 1961; Dijsktra's procedure was a p... |
Preprints (rote Reihe) des Fachbereich Mathematik Refine
320
Power-ordered sets are not always lattices. In the case of distributive lattices we give a description by disjoint of chains. Finite power-ordered sets have a polarity. We introduct the leveled lattices and show examples with trivial tolerance. Finally we giv... |
I believe you're not going to find exactly what you want in Lie, because he never formalized flows (or finite transformations) and their commutation as you do. Maybe the closest would be this, from
Über Differentialinvarianten, Math. Ann. 24 (1884) 537-578:
... erhalten wir folgenden Fundamentalsatz, den ich 1872 entde... |
Ex.6.5 Q2 Triangles Solution - NCERT Maths Class 10 Question
\({PQR}\) is a triangle right angled at \(P\) and \(M\) is a point on \(QR\) such that \(PM \bot QR\). Show that \({{(\text{PM})}^{2}}\) = \({QM. MR}\)
Diagram
Text Solution Reasoning:
As we know if a perpendicular is drawn from the vertex of the right angle ... |
Holt-Winters Filtering
Computes Holt-Winters Filtering of a given time series. Unknown parameters are determined by minimizing the squared prediction error.
Keywords ts Usage
HoltWinters(x, alpha = NULL, beta = NULL, gamma = NULL, seasonal = c("additive", "multiplicative"), start.periods = 2, l.start = NULL, b.start = ... |
Answer
There is one value of $\theta$ as solution to the equation: $$\{0^\circ\}$$
Work Step by Step
$$\sec\frac{\theta}{2}=\cos\frac{\theta}{2}$$ over interval $[0^\circ,360^\circ)$ 1) Find corresponding interval for $\frac{\theta}{2}$ The interval for $\theta$ is $[0^\circ,360^\circ)$, which can also be written as th... |
Cosines
The law of cosines is a statement about a general triangle that relates the lengths of its sides to the cosine of one of its angles.
If we have the following triangel
The following holds true
$$\\ a^{2}=b^{2}+c^{2}-2bc\: cos\: A\\ b^{2}=a^{2}+c^{2}-2ac\: cos\: B\\ c^{2}=a^{2}+b^{2}-2ab\: cos\: C\\$$
Example
If ... |
In a paper that I am reading there is a following step:
Let $X$ be a Banach space and let $(x_k) \subset X$ be a normalized sequence that converges weakly to $0$. Then $\overline{co}(x_k)$ is a weakly compact set.
(notice that $\overline{co}(x_k)$ denotes the norm-closure of the convex hull of $(x_k)$.)
I think that I ... |
Clayton Shonkwiler
Colorado State University
09.09.17
/denton17
this talk!
Jason Cantarella
U. of Georgia
Tom Needham
Ohio State
Gavin Stewart
NYU
Laney Bowden
CSU
Andrea Haynes
CSU
Aaron Shukert
CSU
W. S. B. Woolhouse,
Educational Times 18 (1865), p. 189
J. J. Sylvester,
Educational Times 18 (1865), p. 68
W. S. B. Woo... |
I know that it isn't necessary that cross product automaton for two minimal DFAs be minimal, but according to my analysis, if two DFAs do not have any common string then their cross product of minimal DFAs would be minimal. What should I do to prove this?
No.
Counterexample:
Let alphabet $\Sigma = \left\{ 0, 1 \right\}... |
Difference between revisions of "De Bruijn-Newman constant"
(→Threads)
(→Threads)
Line 94: Line 94:
* [https://terrytao.wordpress.com/2018/04/17/polymath15-eighth-thread-going-below-0-28/ Polymath15, eighth thread: going below 0.28], Terence Tao, Apr 17, 2018.
* [https://terrytao.wordpress.com/2018/04/17/polymath15-eig... |
NTS ABSTRACTSpring2019
Return to [1]
Contents Jan 23
Yunqing Tang Reductions of abelian surfaces over global function fields For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous ... |
The definition of $f(n) = O(g(n))$ (for $n \to \infty$) is that there are $N_0, c$ such that for $N \geq N_0$ it is $f(n) \leq c g(n)$.
In your case, pick e.g. $N_0 = 2$, then you have $10 n^3 + 3 n < 10 n^3 + 3 n^3 = 13 n^3$, and $c = 13$ works.
The definition of $f(n) = \Omega(g(n))$ (for $n \to \infty$) is that ther... |
At tree level, the Kähler potential is given by (neglecting complex structure)
$K = -\ln(-\mathrm{i}(\tau - \bar{\tau})) - 2\ln(V_{CY})$
where $V_{CY} = \frac{1}{6} \kappa_{abc}t^at^bt^c$ ia the the two cycle volume.
In some literature this is written in form of Kähler moduli variables as $V_{CY}=-i(\rho_a - \bar{\rho_... |
As described in the Rich Output tutorial, the IPython display system can display rich representations of objects in the following formats:
This Notebook shows how you can add custom display logic to your own classes, so that they can be displayed using these rich representations. There are two ways of accomplishing thi... |
I am trying to reconstruct a signal from a noisy speech using an MMSE algorithm proposed long time ago by Ephraim and Malah (1984). After going through the algorithm, I got a matrix A which represents the magnitude of the reconstructed signal. With the help of this group, I now know that I need to use this magnitude wi... |
Consider the probability space $(\Omega, {\cal B}, \lambda)$ where $\Omega=(0,1)$, ${\cal B}$ is the Borel sets, and $\lambda$ is Lebesgue measure.
For random variables $W,Z$ on this space, we define the Ky Fan metric by
$$\alpha(W,Z) = \inf \lbrace \epsilon > 0: \lambda(|W-Z| \geq \epsilon) \leq \epsilon\rbrace.$$
Con... |
I think it's unlikely that there's something really new in the observations Two days ago, the Daily Mail (plus colleagues) has excited many readers by the following esoteric article: Mystery of the 'spooky' pattern in the universe: Scientists find that supermassive black holes are ALIGNEDThe Very Large Telescope has fo... |
Background
I have a generative model for a process that can be described as follows:
$$ y = t(x, w) + e $$
where $x$ and $y$ observations of a set of random variables which are related by a non-linear transformation function $t$, parameterised by the unknown parameters to be estimated given by $w$. $e$ is the normally ... |
Let A be a non-empty set and $f : A → A$ be a function.
Prove that f has a left inverse in $F_{A}$ if and only if f is injective (one-to-one).
$\leftarrow$ assume f is injective then $\forall x\in A \space \space \space \space \space \space \space \space \space f(x) \in A $ such that if $f(x)=f(y) $ then $ x=y$
somethi... |
$\def\Hadw{\mathop{\rm Hadw}}$This is true for finite graphs, and false for (not necessarily connected) infinite graphs. Right now I do not know what happens for infinite connected graphs.
1. Each component $G_1\subseteq G$ corresponds to an isolated vertex $v_{G_1}$ in $\Hadw(G)$ and a component $\Hadw(G_1)\setminus \... |
I read in HC Verma that if we are observing the motion of a body from a rotating frame and the body under the observation is NOT in motion with respect to our frame then the centrifugal force is the sufficient pseudo force for the analysis of the motion. But if the body under observation is in motion with respect to ou... |
I am interested to understand the current theoretical status of Landauer's Principle and related ideas. I am looking for key papers and results in the subject.I will highlight one key paper.An improved Landauer principle with finite-size correctionsAbstract:Landauerʼs principle relates...
I know that by physics definit... |
Hey guys! I built the voltage multiplier with alternating square wave from a 555 timer as a source (which is measured 4.5V by my multimeter) but the voltage multiplier doesn't seem to work. I tried first making a voltage doubler and it showed 9V (which is correct I suppose) but when I try a quadrupler for example and t... |
我亲爱的领导让我花一周多的时间看了四篇论文，于是就有了这篇文章。
input image piece-wise planar segmentation reconstructed depthmap texture-mapped 3D model ScanNet [1,3,4] SYNTHIA [2,3] Cityscapes [2] NYU Depth Dataset [1,3,4] Labeling method ScanNet: Richly-annotated 3D Reconstructions of Indoor Scenes. annotated with 3D camera poses, surface reconst... |
RD Sharma Solutions Class 8 Chapter 3 Exercise 3.9
Using square root table, find the square roots of the following:
1.) 7
Answer:
From the table, we directly find that square root of 7 is 2.646.
2.) 15
Answer:
Using the table to find \(\sqrt{3}\)
\(\sqrt{15}\)
= 1.732 x 2.236 = 3.873
3.) 74
Answer:
Using the table to f... |
I don't understand what you say about derivatives and I will assume that you want the following result.
Let $f: \mathbb{R}^2 \rightarrow \mathbb{R}$ be a function such that for every $a, b \in \mathbb{R}$, $x \mapsto f(x,b)$ and $y \mapsto f(a,y)$ are polynomial functions; then $f$ is a polynomial in two variables.
Thi... |
I'm encontering fat Cantor sets for the first time, and I found the formula for the length of the complement on Wikipedia (you know, like you do) as
$\mu(I \setminus C_\alpha) = \alpha \sum_{n=1}^\infty (2\alpha)^n = \frac{\alpha}{1-2\alpha}$.
This makes sense and is a pretty intuitive extension of the normal Cantor se... |
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... |
Let $M$ be a compact finite-dimensional manifold and $f\colon M\to M$ be a diffeomrphism. By $P_n(f)$ we denote the number of periodic points of $f$ with period $n$, that is, the number of fixed points of $f^n$.Katok Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publications Mathématiques de l'IH... |
Ex.12.2 Q11 Areas Related to Circles Solution - NCERT Maths Class 10 Question
A car has two wipers which do not overlap. Each wiper has a blade of length \(\text{25 cm}\) sweeping through an angle of \(115^\circ. \)Find the total area cleaned at each sweep of the blades.
Text Solution What is known?
A car has \(2\) wip... |
If water evaporates at room temperature because a small percentage of the molecules have enough energy to escape into the air, then why does a kitchen counter with a small amount of water eventually evaporate completely when at room temperature?
As your small percentage of molecules with high enough kinetic energy evap... |
Markdown is a lightweight markup language with plain text formatting syntax. It is designed so that it can be converted to HTML and many other formats using a tool by the same name.
from Wikipedia
Introducing the markdown formatting ⛷
# h1## h2### h3standard
*Italic type***Bold**~~Negative~~
Fold the long sentences.
<d... |
As Robert writes, the answer is positive for
round circles, which follows from the fact that Möbius transformations map circles to circles (and you can map any circle contained in the unit disc to a circle with its centre at 0).
As Neil mentions, the answer is negative for arbitrary curves. Indeed, this is trivial if t... |
Imagine a decreasing sequence of (positive) radii $r_1 > r_2 > r_3 > \cdots$ and a series of nested circles $C_1 \supset C_2 \supset C_3 \supset \cdots$ with these radii, initially each resting on the $x$-axis tangent at $(0,0)$. Each is assigned a rolling speed $s_1, s_2, s_3, \ldots$, the amount of arc length that $C... |
I know that a Type II error is where H1 is true, but H0 is not rejected.
Question
How do I calculate the probability of a Type II error involving a normal distribution, where the standard deviation is known?
Cross Validated is a question and answer site for people interested in statistics, machine learning, data analys... |
Search
Now showing items 1-10 of 33
The ALICE Transition Radiation Detector: Construction, operation, and performance
(Elsevier, 2018-02)
The Transition Radiation Detector (TRD) was designed and built to enhance the capabilities of the ALICE detector at the Large Hadron Collider (LHC). While aimed at providing electron... |
The experiments that have been clearly accepted require at least three "flavors" of neutrinos, namely the \(SU(2)\) partners of the charged leptons called \(e^\pm, \mu^\pm,\tau^\pm\) that are called\[
\nu_e,\quad \nu_\mu, \quad \nu_\tau. \] The Greek letter \(\nu\) ("nu") stands for a "neutrino" and it hasn't been copy... |
KAUST-IAMCS Workshop on Modeling and Simulation of Wave Propagation and Applications – King Abdullah University of Science and Technology (KAUST) Thuwal, Saudi Arabia Conference Center (Building 19), Conference Halls 1 & 2 Fatma Zohra Nouri, Badji Mokhtar University (Algeria) Mathematical Modeling and Brain Tumor Growt... |
Let say a periodic signal waveform $v(t)$ can be modeled as:
$v(t) = f(\phi) A \sin(2\pi ft + \psi)$
where $A$ is a constant amplitude, $f$ is signal frequency, $t$ is time and $\psi$ is a constant phase.
While $f(\phi)$ is $f = k \cos(\phi)$, where $k$ is a constant and $\phi$ is a function of time $t$.
Now the signal... |
a70 wrote:
If m and n are positive integers and m * n = 40 , what is the value of the sum of m and n?
(1) The number of positive factors of m is twice the number of positive factors of n. (2) m has exactly 4 different positive factors
\(\left. \begin{gathered}
m,n\,\, \geqslant 1\,\,\,{\text{ints}}\,\, \hfill \\
mn = 4... |
I am reading Rudin and I am very confused what a derivative is now. I used to think a derivative was just the process of taking the limit like this $$\lim_{h\rightarrow 0} \frac{f(x+h)-f(x)}{(x+h)-x}$$
But between Apostol and Rudin, I am confused in what sense total derivatives are derivatives.
Partial derivatives much... |
As this has obtained the required number of community votes, consider this an official PhysicsOverflow policy.
I see that this is a good point. After all, even the ArXiV
has lecture notes, etc., which are not really "original" in nature.
When reviewing things like blog articles, lecture notes, etc., there is no "origin... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.