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Named data packets cut both ways in CCN. Perhaps their most beneficial quality is that they shift the communication emphasis from end hosts and fixed addresses to content. However, from a security perspective, there is a steep cost for this transition. Application names, being often-overloaded URIs, can leak a signific... |
Question of our assignment
$A$ is a $3×3$ real symmetric matrix such that $A^3 = I$ (Identity matrix). Does it imply that $A = I$? If so, why? If not, give an example.
Any help will be appreciated.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in relate... |
How to Obtain Fatigue Model Parameters
When simulating fatigue, you are faced with two main challenges. The first is to select a suitable fatigue model for your application and the second is to obtain the material data for the selected model. I recently addressed the first challenge in the blog post “Which Fatigue Mode... |
That was an excellent post and qualifies as a treasure to be found on this site!
wtf wrote:
When infinities arise in physics equations, it doesn't mean there's a physical infinity. It means that our physics has broken down. Our equations don't apply. I totally get that
. In fact even our friend Max gets that.http://blo... |
32 3
Hi,
I'm supposed to prove that Wien's Law: [tex] P(\lambda,T) = \frac{f(\lambda T)}{\lambda^5} [/tex] includes Stefan-Botlzmann's Law [tex] R(T) = \sigma T^4[/tex] and Wien's Displacement Law: [tex]\lambda_{max} T = b[/tex]
For Wien's Displacement Law:
I know that I would have to find when [tex]P(\lambda ,T)[/tex]... |
Up until now, we have dealt with double integrals in the Cartesian coordinate system. This is helpful in situations where the domain can be expressed simply in terms of \(x\) and \(y\). However, many problems are not so easy to graph. If the domain has the characteristics of a circle or cardioid, then it is much easier... |
*
Let $(A, \geq)$ be a partially ordered set.
If $(A,+, \times$) is a ring we may add an order $\geq$ that cooperates with the binary operations if
- $a\geq b \Rightarrow ac \geq bc$, if $c \geq 1$.
- $a\geq b \Rightarrow a+c \geq b+c$.
That in fact decide much of the order, and denies the existence of order for any ri... |
In Dixmier ($C^*$-algebras), the Plancherel theorem states (I will not mention the right regular representation even though the theorem does talk about it):
Let $G$ be unimodular, $\lambda$ be the left regular representation of $G$, $\mathcal{U}$ be the Von Neumann algebra on $L^2(G)$ generated by $\lambda(G)$, $J$ the... |
Any edge of a tree is a bridge. What is the minimum number of edges that I will need to add so that there are no more bridges in a tree? I have seen the solution from the internet the answer is $\frac{|V|}{2}$, where $|V|$ is the number of vertices in the tree. How can I prove it?
Let me describe the following algorith... |
Answer
C=20$^\circ$
Work Step by Step
C=$\frac{5}{9}$(F-32) C=$\frac{5}{9}$(68-32) C=$\frac{5}{9}$(36) C=$\frac{5\times36}{9}=\frac{180}{9}=\frac{180\div9}{9\div9}$ C=20
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 a dra... |
Practice Paper 1 Question 4
What is the units digit of the number \(\sum_{n=1}^{1337}(n!)^4\)
Related topics Hints Hint 1What can you say about the units digit of \(n!\) for \(n\ge5\)? Hint 2What about the units digits for \(n < 5\)? Hint 3It's sufficient to take only the units digit when multiplying or raising the num... |
Volume 9, Number 5, 2019, Pages 1750-1768
DOI：10.11948/20180315
$H_{\infty}$ feedback controls based on discrete-time state observations for singular hybrid systems with nonhomogeneous Markovian jump
Zhiyong Ye,Suying Pan,Jin Zhou
Keywords:Discrete-time state observation, stochastically stable, $H_{\infty}$feedback con... |
These are homework exercises to accompany Miersemann's "Partial Differential Equations" Textmap. This is a textbook targeted for a one semester first course on differential equations, aimed at engineering students. Partial differential equations are differential equations that contains unknown multivariable functions a... |
Practice Paper 1 Question 7
The Taylor expansion of \(\ln(1+x)\) is defined as \(\ln(1+x)=x-\frac{x^2}{2}+\frac{x^3}{3}-\cdots\). Expand \(\ln\!\left(\frac{1-x}{1+x^2}\right)\) up to and including the 4th power of \(x\).
Related topics Hints Hint 1What properties of \(\log\) can you use break down \(\ln\!\left(\frac{1-... |
Cassegrain reflector
In a symmetrical Cassegrain both mirrors are aligned about the optical axis, and the primary mirror usually contains a hole in the centre thus permitting the light to reach an eyepiece, a camera, or a light detector. Alternatively, as in many radio telescopes, the final focus may be in front of the... |
In the first propagation step of the radical chain mechanism of alkane halogenation, why does the halogen actually abstract hydrogen from the alkane? My organic chemistry textbook so far has went into details on MOs, hybridized orbitals, and general thermodynamics of reactions but has been lacking in the by and large
w... |
Practice Paper 1 Question 9
Player \(A\) rolls one die. Player \(B\) rolls two dice. If \(A\) rolls a number greater or equal to the largest number rolled by \(B\), then \(A\) wins, otherwise \(B\) wins. What is the probability that B wins?
Related topics Warm-up Questions You roll a die 3 times. What is the probabilit... |
Expression:Logarithm, is, the exponent or power to which a base must be raised to yield a given number. Mathematically: x is the logarithm of n to the base b if \( b^x \) = \( n \) and is represented as \( x \) = \( log_{b}n \)
2.
Common logarithms: Logarithms to the base 10 are known as common logarithms.
3.
Character... |
Given that $ \operatorname{Var}(x)=\frac{3}{4}\theta^2$, I want t find the variance of estimator $\hat{\theta_1} = \frac{2n}{3}\sum_{i=1}^nX_i$.
EDIT: $X_1,...,X_n$ are independent and identically distributed (iid)
I proceed as follows:
$$ \operatorname{Var}(\hat{\theta}) = \operatorname{Var}(\frac{2n}{3}\sum_{i=1}^nX_... |
Is the following sequence $x_{n}=\frac{1 +(-1)^n}{n}$ Cauchy? I got not Cauchy, but would appreciate someone to check this. Thank you! So I got the sequence is bounded by 2 and that $abs(x_n-x_{n+1})<=2$ then if we pick $\epsilon=1/2$ then the sequence is not Cauchy... is my proof sufficient?
Hint: Recall that a conver... |
"We have spent a decade collecting measurements of 1.2 million galaxies over one quarter of the sky to map out the structure of the Universe over a volume of 650 cubic billion light years,” says. Jeremy Tinker of New York University, a co-leader of the scientific team that led this effort. Hundreds of scientists are pa... |
Answer
Name of the figure $=$ square Perimeter $= 9$ ft Area $ \approx 5.1$ sq ft
Work Step by Step
1. Name of the figure Square ($4$ equal sides) 2. Perimeter Let $P =$ perimeter of the square $P = 4 \times 2.25$ (Note that $2.25 = 2\frac{1}{4}$) $P = 9$ ft 3. Area Let $A =$ area of the square $A = 2.25 \times 2.25$ $... |
Integrate $$I=\int \frac{dx}{\sqrt{4-\sin^2 x}}$$
we can write it as
$$I=\sqrt{2} \times \int \frac{dx}{\sqrt{7+\cos 2x}}$$
Put $\tan x=t$ we get
$$I=\int \frac{dt}{\sqrt{1+t^2}\sqrt{8+6t^2}}$$
is it possible to continue?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and... |
Does someone know any inequality between $||u||_{p}$ and $||\gamma (u)||_{p, \partial \Omega}$, where $\gamma$ is the Trace Operator? I need to find something like
$||u||_{p}\leq C||\gamma (u)||_{p, \partial \Omega}$ or $||u||_{p}\leq C(||\gamma (u)||_{p, \partial \Omega} + ||\nabla u||_{p}) $ ,
but I couldn't find any... |
Every day it rains with probability $ \frac12 $, otherwise we have sunny weather. Weather forecast makes mistake with probability $ \frac13 $ (if Weather forecast says it will be sunny, with a probability $ \frac23 $ so be it.
Professor always takes an umbrella if the weather forecast announces rain. If the weather is ... |
Let me slightly change the notation. You have some sequence $\mathbf{a}=a_0,a_1,\cdots$ with each $a_i$ either $0$ or $1$. Define a sequence $u_0,u_1,u_2,\cdots$ by setting $u_m=0$ for $m \lt 0$, $u_0=1$ and for any $n \ge 0$, $u_{n+1}=\sum_{i=1}^{\infty}a_iu_{n-i}.$ As you note in a comment, if $a_1=1$ then $u_i$ is a... |
Difference between revisions of "Dictionary:Q(Quality)"
(Marked this version for translation)
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{{DISPLAYTITLE:Dictionary:''Q''}}{{#category_index:Q|''Q''}}
+ −
'''1'''. Quality factor, the ratio of 2π times the peak energy to the energy dissipated in a cy... |
Content Description
Regression problems occur in many metrological applications, e.g. in everyday calibration tasks (as illustrated in Annex H.3 of the GUM ), in the evaluation of interlaboratory comparisons, the characterization of sensors [Matthews et al., 2014], determination of fundamental constants [Bodnar et al.,... |
In this note, I consider an application of generalized Mobius Inversion to extract information of arithmetical sums with asymptotics of the form $latex \displaystyle \sum_{nk^j \leq x} f(n) = a_1x + O(x^{1 – \epsilon})$ for a fixed $latex j$ and a constant $latex a_1$, so that the sum is over both $latex n$ and $latex ... |
LaTeX supports many worldwide languages by means of some special packages. In this article is explained how to import and use those packages to create documents in
Spanish.
Contents
Spanish language has some special characters, such as the
ñ and some accentuated words. For this reason the preamble of your document must... |
How can I find a closed-form expression for the following improper integral in a slick way?
$$\mathcal{I}= \int_0^\infty \frac{x^{23}}{(5x^2+7^2)^{17}}\,\mathrm{d}x$$
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minut... |
Editorial
Find the first bus Serval can see in each route and find the earliest one. For each route, finding the first bus Serval sees can work in $$$O(1)$$$.
Or mark all the time no more than $$$\max(s_i,t+\max(d_i))$$$ which bus would come or there will be no bus, then search the nearest one.
Editorial
Fill in all th... |
The formula :-
\begin{equation}\tag{A}\frac{1}{P_{sid}^{-1}-P_{syn}^{-1}} = P_{e}\end{equation}
(where $P_{e}$ is the sidereal period of the Earth in its orbit around the Sun)
can be derived with the aid of Fig. 1 below, using the different axes frames, and making the following simplifying assumptions about the motions... |
Chances are high that the Standard Model will be killed in 2016 If I were just a little bit more certain than I am, I would add the picture below and the subtitle would say:The summary of the main 2015 results of the ATLAS and CMS collaborations at the LHC was entertaining. Many channels have been shown compatible with... |
Output
Answers
See the comments in the code for further explanation, but here's a summary of how I addressed your questions:
I used
\begin{scope} and
\end{scope} around the code for the semantic trees so that they can be scaled and shifted independently. The surface scope tree has
[xshift=9cm,scale=.8], so it's shifted... |
1) Given \(\vecs r(t)=(3t^2−2)\,\hat{\mathbf{i}}+(2t−\sin t)\,\hat{\mathbf{j}}\),
a. find the velocity of a particle moving along this curve.
b. find the acceleration of a particle moving along this curve.
Answer: a. \(\vecs v(t)=6t\,\hat{\mathbf{i}}+(2−\cos t)\,\hat{\mathbf{i}}\) b. \(\vecs a(t)=6\,\hat{\mathbf{i}}+\s... |
When I click on the Wolfram output, I see $-\frac{2}{3} \sqrt{1 - \cos(3t)}$ only in the indefinite integral calculation: there are no bounds at all. (There are some specific, numerically computed definite integrals below the symbolic calculation, but this is not where $-\frac{2}{3} \sqrt{1 - \cos(3t)}$ is.)
This is im... |
Exponential boundary stabilization for nonlinear wave equations with localized damping and nonlinear boundary condition
Division of Mathematical Sciences, Graduate School of Comparative Culture, Kurume University, Miimachi, Kurume, Fukuoka 839-8502, Japan
$ D\subset R^{d}$
$d- $
$R^{d} $
$\left\{ \begin{gathered}u_{tt}... |
To send content items to your account,please confirm that you agree to abide by our usage policies.If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.Find out more about sending content to .
To send content items to your Kindle, first ensure no-rep... |
When we describe a curve using polar coordinates, it is still a curve in the\(x-y\) plane. We would like to be able to compute slopes and areas for these curves using polar coordinates.
We have seen that \(x=r\cos\theta\) and \(y=r\sin\theta\) describe the relationship between polar and rectangular coordinates. If in t... |
Consider holomoprhic function $f:\mathbb C \backslash \{0\}\rightarrow \mathbb C$. I want to prove that the square:
$\partial R=[1+i,-1+i]+[-1+i,]+[-1-i,1-i]+[1-i,1+i]$
And the triangle: $\partial\Delta=[1-i,i]+[i,-1-i]+[-1-i,1-i]$
have the same line integral: $\int_{\partial R}f(z)dz=\int_{\partial \Delta}f(z)dz$
Any ... |
This wordpress blog is configured to use the mathjax-latex plugin, along with a slightly customized MathJax configuration. This allows inline latex equations to be specified with
and display latex to be specified with
or amsmath delimiters such as
Here is a sample (Stokes theorem)
For blades \(F \in \bigwedge^{s}\), an... |
Let $S_{g,1}$ be the surface of genus $g \geq 1$ and $1$ boundary component. Let $Mod(S_{g,1})$ be the mapping class group in which we allow isotopies to rotate the action on the boundary (equivalently think of it as the mapping class group of the once-punctured surface of genus $g$).
Is every element of $Mod(S_{g,1})$... |
[Back] The Schnorr identification scheme was defined in 1991 [1] and supports a zero knowledge proof method. It uses discrete logarithms. The prover (Peggy) has a proving public key of \((g,X)\) where \(g\) is a generator, and \(X= g^x \pmod N \). \(x\) is the secret value that the prover (Peggy) must prove. After Pegg... |
Prove or disprove:
if $\sum_{n=0}^\infty a_n x^n$ converges at $x=x_1$ , then $\sum_{n=0}^\infty n\cdot a_n \cdot x^{n-1}$ converges at $x=x_1$
I am quite new to this material (and taylor series especially).
I am pretty sure, that if I differentiate a power series, the radius of convergence stays the same, but:
I'm not... |
3. M.I. VS mod
In most case, M.I. would not be the most preferred choice to prove the divisibility of an expression because we have another powerful tool: modolar arithmetic.
I would not put too much technical formulae about mod because it could be very difficult.
Definition 1.If $a=b+n$ where n is a positive integer l... |
That was an excellent post and qualifies as a treasure to be found on this site!
wtf wrote:
When infinities arise in physics equations, it doesn't mean there's a physical infinity. It means that our physics has broken down. Our equations don't apply. I totally get that
. In fact even our friend Max gets that.http://blo... |
30 4 Homework Statement In the figure below an electron is shot directly toward the center of a large metal plate that has surface charge density -1.20 × 10^-6 C/m2. If the initial kinetic energy of the electron is 1.60 × 10^-17 J and if the electron is to stop (due to electrostatic repulsion from the plate) just as it... |
That was an excellent post and qualifies as a treasure to be found on this site!
wtf wrote:
When infinities arise in physics equations, it doesn't mean there's a physical infinity. It means that our physics has broken down. Our equations don't apply. I totally get that
. In fact even our friend Max gets that.http://blo... |
My fist thought was to randomly generate samples from $f(x)$ and to compute the average value of $\log(g(x))$ from the other mixture. That would give me $E_f[\log(g(X))] = -H(f,g)$ and $KL(f,g) = H(f,g) – H(f)$ where $H(f,g)$ is the cross entropy and $H(f)$ is the entropy. This converges at order $1/\sqrt{n}$ and it is... |
1. Introduction
When I first learned the mean value theorem as a high schooler, I was thoroughly unimpressed. Part of this was because it’s just like Rolle’s Theorem, which feels obvious. But I think the greater part is because I thought it was useless. And I continued to think it was useless until I began my first pro... |
This ebook reports generalized Donaldson-Thomas invariants $\bar{DT}{}^\alpha(\tau)$. they're rational numbers which 'count' either $\tau$-stable and $\tau$-semistable coherent sheaves with Chern personality $\alpha$ on $X$; strictly $\tau$-semistable sheaves has to be counted with advanced rational weights. The $\bar{... |
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How many solutions are there to sinθ+7=8 \sin \theta + 7 = 8 sinθ+7=8 in the domain [0∘,1000∘] [0 ^ \circ, 1000 ^ \circ ] [0∘,1000∘]?
What is the minimum value of a positive number xxx such that the value of sin(x+π8)\sin(x+\frac{\pi}{8})sin(x+8π) is 0?0?0?
How m... |
Difference between revisions of "Multi-index notation"
m (fixed a small and misplaced parenthesis)
m (→Leibniz formula for higher derivatives of multivariate functions: typo)
Line 43: Line 43:
(x+y)^\a=\sum_{0\leqslant\b\leqslant\a}\binom\a\b x^{\a-\b} y^\b.
(x+y)^\a=\sum_{0\leqslant\b\leqslant\a}\binom\a\b x^{\a-\b} y... |
This post picks up from the previous post on Summer@Brown number theory from 2013.
Now that we’d established ideas about solving the modular equation $latex ax \equiv c \mod m$, solving the linear diophantine equation $latex ax + by = c$, and about general modular arithmetic, we began to explore systems of modular equa... |
Three radial positive solutions for semilinear \\ elliptic problems in $\mathbb{R}^N
wang su yun,Zhang Yan hong,Ma ru yun
Keywords:Semilinear elliptic problem, radial positive solutions, eigenvalue, bifurcation, connected component.
Abstract:
This paper is concerned withthe semilinear elliptic problem$$\left\{\aligned&... |
Usually I write the weak form by hand for my FEM code, but it's a little annoying and mechanic sometimes.
So, I wonder, is there any way to generate the
symbolic weak form in Mathematica? For instance, if I have this strong form:
$$\nabla\cdot(\nabla u) = f$$
I'd like to have an automation of multiplying by a shape fun... |
I'm trying to find the Maximum Independent Set of a Biparite Graph.
I found the following in some notes
"May 13, 1998 - University of Washington - CSE 521 - Applications of network flow":
Problem:
Given a bipartite graph $G = (U,V,E)$, find an independent set $U' \cup V'$ which is as large as possible, where $U' \subse... |
We have dealt extensively with vector equations for curves, ${\bf r}(t)=\langle x(t),y(t),z(t)\rangle$. A similar technique can be used to represent surfaces in a way that is more general than the equations for surfaces we have used so far. Recall that when we use ${\bf r}(t)$ to represent a curve, we imagine the vecto... |
First, a recent gem from MathStackExchange:
Task:Calculate $latex \displaystyle \sum_{i = 1}^{69} \sqrt{ \left( 1 + \frac{1}{i^2} + \frac{1}{(i+1)^2} \right) }$ as quickly as you can with pencil and paper only.
Yes, this is just another cute problem that turns out to have a very pleasant solution. Here’s how this one g... |
\(\text{on the line }y=x, \text{ oddly enough for every point }y=x\\ \text{thus we have}\\ \dfrac{x^2-x}{2x-x+2} = a\\ x^2-x=a x + 2a\\ x^2 -(1+a)x -2a=0\\ x = \dfrac{(1+a)\pm \sqrt{(1+a)^2+8a}}{2}\)
\(\text{You then have two points of the form }(x_k,x_k),~k=1,2\\ \text{Where the }x_k \text{ are the roots above}\\ \tex... |
I'll start with Earth
Earth is hurling through space at a speed of approximately $29.78 km/s$ If the sun were to disappear, the Earth would move in a straight line until the sun reappears. Since there are $259,200 seconds$ in three days that gives Earth the time to travel $29.78 km/s \times 259,200 s = 7,718,976 km$ Th... |
As generator $g$ is used in DH how do you find a combination of prime $p$ and $g$? eg: if we choose $p=23$ and its generator is $7$ (given in the book) how do we find the generator?
Mike gave you the answer for the specific question you asked. I'll try to give you an answer to the question you should have asked:
For Di... |
Adimurthi, * and Chaudhuri, Nirmalendu and Ramaswamy, Mythily (2001)
An Improved Hardy-Sobolev Inequality and its Application. In: Proceedings of the American Mathematical Society, 130 (2). pp. 489-505.
PDF
An_improved_hardy.pdf - Published Version
Restricted to Registered users only
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A... |
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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 ... |
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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 ... |
this question is giving me some issue because i know sin and cos is the same as $45$ degrees but there is a $2$ on the right side where cosine is.
So how would i get $\theta$?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only take... |
Claim: $L$ is context-free.
Proof Idea: There has to be at least one difference between the first and second half; we give a grammar that makes sure to generate one and leaves the rest arbitrary.
Proof: For sake of simplicity, assume a binary alphabet $\Sigma = \{a,b\}$. The proof readily extends to other sizes. Consid... |
Click to zoom in.
The counter on the right side shows 99,999,962. That's a pity because the person who manages to obtain a screenshot with the number 100,000,000 gets a $100 million coffee mug. That's a lot of money. As far as I remember, I didn't hold $100 million in my hands for years if not decades. It's even hard t... |
Sum of All Ring Products is Closed under Addition Theorem
Let $\left({R, +, \circ}\right)$ be a ring.
Let $\left({S, +}\right)$ and $\left({T, +}\right)$ be additive subgroups of $\left({R, +, \circ}\right)$.
Let $S T$ be defined as:
$\displaystyle S T = \left\{{\sum_{i \mathop = 1}^n s_i \circ t_i: s_1 \in S, t_i \in ... |
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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 ... |
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Now showing items 1-10 of 21
Production of Σ(1385)± and Ξ(1530)0 in proton–proton collisions at √s = 7 TeV
(Springer, 2015-01-10)
The production of the strange and double-strange baryon resonances ((1385)±, Ξ(1530)0) has been measured at mid-rapidity (|y|< 0.5) in proton–proton collisions at √s = 7 TeV with the ... |
Up until now, we have dealt with double integrals in the Cartesian coordinate system. This is helpful in situations where the domain can be expressed simply in terms of \(x\) and \(y\). However, many problems are not so easy to graph. If the domain has the characteristics of a circle or cardioid, then it is much easier... |
What is the smallest possible size of a set of points in $\mathbb{F}_q^3$ which intersects (blocks) every line?
Clearly the union of three affine hyperplanes that intersect in a singleton, say $x = 0, y = 0$ and $z = 0$, forms such a set. If we denote by $s(q)$ the smallest possible size, then this gives us $$s(q) \leq... |
The question is definitely not trivial. +1 for OP. The solution follows from the following theorem:
Theorem: If $a > 0$ and $n$ is a rational number then $$\lim_{x \to a}\frac{x^{n} - a^{n}}{x - a} = na^{n - 1}\tag{1}$$ This is one of the standard limits which can be used to evaluate many limits involving algebraic fun... |
Perturbed Renewal Equations with Non-Polynomial Perturbations 2010 (English)Licentiate thesis, comprehensive summary (Other academic) Abstract [en]
This thesis deals with a model of nonlinearly perturbed continuous-time renewal equation with nonpolynomial perturbations. The characteristics, namely the defect and moment... |
09:00 Parallel Heavy flavour - William Alexander Horowitz (University of Cape Town (ZA)) (until 10:20) (COSMOS)
09:00 Data-driven analysis of the temperature and momentum dependence of the heavy quark transport coefficients - Yingru Xu (Duke University) (COSMOS) 09:20 Heavy flavor energy loss from AdS/CFT: A novel diff... |
Usually doing calculations of this kind is not hard. Roughly, you start from some idea of where the pH is going to end up. For example, if you are only adding these phosphates, count the number of phosphate ions and the number of sodium ions. Divide the number of sodium ions by the number of phosphate ions. You (hopefu... |
In a nutshell
The name Kleene closure is clearly intended to mean closureunder some string operation.
However, careful analysis (thanks to a critical comment by the OPmallardz), shows that the Kleene star cannot be closure under concatenation, whichrather corresponds to the Kleene plus operator.
The Kleene star operato... |
Arithmetic Sequences Definition Arithmetic sequences are patterns of numbers that increase (or decrease) by a set amount each time when you advance to a new term. You can determine the next term by adding the difference between any two terms to the final one to generate the next term. Let \(a\) be the initial term and ... |
By peaks do you mean just maxima?I'm sorry that isn't make sense to me.Why does that work? Also I tried to do what you said and got for all of them 100 Hz (2 peaks for the maximum wave) which doesn't make sense...
1. Homework StatementSo let's say that I have a signal of fundamental frequency 50Hz. I then have a band-p... |
I just wanted some quick help with a lab I'm doing, based on absorption spectroscopy. I'm given an aqueous stock solution of Yellow Dye #5 with a concentration of 54.5 micro moles. I'm asked to create a standard curve. It gives me the diluted volume as 50 mL, and has a data table with the volume of stock solutions and ... |
I've been reading
Complex Analysis by E. Freitag as alternative material of A First Course in Modular Forms by F. Diamond and I am struggling to comprehend some definitions.
In the page 326, he made a remark about the terminology that he is introducing for the $q$-expansions of real periodic functions (defined in $\mat... |
Due to the amount of confusion and the large number of emails, I have written up the solution to Problem 1 from Test 2.
The Problem Determine the path of steepest descent along the surface $latex z = 2 + x + 2y – x^2 – 3y^2 $ from the point $latex (0,0,2).$
There are a few things to note – the first thing we must do is... |
2 1
Hi all,
I have a trigonometric function series $$f(x)={1 \over 2}{\Lambda _0} + \sum\limits_{l = 1}^\infty {{\Lambda _l}\cos \left( {lx} \right)} $$ with the normalization condition $$\Lambda_0 + 2\sum\limits_{l = 1}^\infty {{\Lambda _l} = 1} $$ and ##\Lambda_l## being monotonic decrescent weights, i.e. ##\Lambda_0... |
Determinants
Consider row reducing the standard 2x2 matrix. Suppose that \(a\) is nonzero.
\[\begin{pmatrix} a &b \\ c &d \end{pmatrix}\nonumber \]
\[\frac{1}{a} R_1 \rightarrow R_1, \;\;\; R_2-cR_1 \rightarrow R_2\nonumber \]
\[\begin{pmatrix} 1 &\frac{b}{a} \\ c &d \end{pmatrix}\nonumber \]
\[\begin{pmatrix} 1 & \fra... |
In this problem, we are asked to compute the line integral
\[ \int_C \frac{-y, dx + x, dy}{x^2 + y^2} \] where \(C\) is the line segment from \((1,0)\) to \((0,1)\). It turns out that this integral is particularly easy to compute in polar coordinates (although the work that I did in class probably made it seem hopeless... |
DISCLAIMER: Very rough notes from class. Some additional side notes, but otherwise barely edited.
These are notes for the UofT course PHY2403H, Quantum Field Theory, taught by Prof. Erich Poppitz.
Determinant of Lorentz transformations
We require that Lorentz transformations leave the dot product invariant, that is \( ... |
Quick definition of the Laplacian matrix on a triangular mesh. I give an in depth explanation here.
I will discuss various ways you can ship a Maya plugin to users.
Leaving [ C++ code ] to decompose a 3x3 matrix into rotation and scale/shear with polar decomposition (this is done through a 3x3 SVD and 3x3 Eigen decompo... |
Populations are dynamic entities. Populations consist all of the species living within a specific area, and populations fluctuate based on a number of factors: seasonal and yearly changes in the environment, natural disasters such as forest fires and volcanic eruptions, and competition for resources between and within ... |
That was an excellent post and qualifies as a treasure to be found on this site!
wtf wrote:
When infinities arise in physics equations, it doesn't mean there's a physical infinity. It means that our physics has broken down. Our equations don't apply. I totally get that
. In fact even our friend Max gets that.http://blo... |
AP Statistics Curriculum 2007 Infer 2Means Dep From Socr General Advance-Placement (AP) Statistics Curriculum - Inferences about Two Means: Dependent Samples
In the previous chapter we saw how to do significance testing in the case of a single random sample. Now, we show how to do hypothesis testing comparing two sampl... |
LaTeX/Picture
The picture environment allows programming pictures directly in LaTeX. On the one hand, there are rather severe constraints, as the slopes of line segments and the radii of circles are restricted to a narrow choice of values. On the other hand, the picture environment of LaTeX2e brings with it the
\qbezie... |
As $T$ is separable and complete, by Ulam's theorem, for each $j\geq 1$, we can find a compact subset of $T$, say $K_j$, such that $\rho(K_j)\geq 1-j^{-1}$. If $P\in \mathcal M^{\rho}(T\times A)$, then $$P(K_j\times A)=\rho(K_j)\geq 1-j^{-1}.$$As $K_j\times A$ is a compact subset of $T\times A$, the set $\mathcal M^{\r... |
Let $X$ be a non-vanishing real analytic vector field on an open manifold $M$. What kind of obstructions would appear when we search for a Riemannian metric on $M$ such that the space of harmonic functions would be invariant under the derivation operator $f \mapsto X.f$? A harmonic function is a function $f$ which sati... |
This question already has an answer here:
Series converges implies $\lim{n a_n} = 0$ 14 answers
This came up in a friend's exam and it must be one of those ${\epsilon},N(\epsilon)$ arguments I could do in a snapshot in my twenties but now I can't figure out how the proof should go: For a positive non-increasing sequenc... |
Bernoulli Bernoulli Volume 20, Number 4 (2014), 2217-2246. Adaptive sensing performance lower bounds for sparse signal detection and support estimation Abstract
This paper gives a precise characterization of the fundamental limits of adaptive sensing for diverse estimation and testing problems concerning sparse signals... |
Title Single molecule magnetism in a family of mononuclear β-diketonate lanthanide(III) complexes: rationalization of magnetic anisotropy in complexes of low symmetry Publication Type Journal Article Year of Publication 2013 Authors Chilton, NF, Langley, SK, Moubaraki, B, Soncini, A, Batten, SR, Murray, KS Journal Chem... |
Edit: unfortunately I did botch the crucial computation. So, surprisingly, the map $f$ defined below need not be locally Lipschitz in the $C^{k,\alpha}$ space.
Let me give an example in $1$-dimension: let $v(x)=\frac23 |x|^{3/2}\in C^{1,\frac12}$, and consider for small $\varepsilon$ the functions $g(x)=\varepsilon +x$... |
How to Model Moisture Flow in COMSOL Multiphysics®
Computing laminar and turbulent moisture flows in air is both flexible and user friendly with the
Moisture Flow multiphysics interfaces and coupling in the COMSOL Multiphysics® software. Available as of version 5.3a, this comprehensive set of functionality can be used ... |
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