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In the field of linear algebra there are variety of different matrix types. Each has its own definition and relevance. I had trouble finding a good overview online and thought I’d compile a list myself:
This article lists a selection of matrix types as well as their definition, mostly based on the corresponding Wikiped... |
TersoffBrennerCorrectionPotential¶ class
TersoffBrennerCorrectionPotential(
particleType1, particleType2, activeTypes, L, U, x, z, f)¶
Constructor of the potential.
To construct this potential it is necessary to specify a threedimensional function. This is done by passing the function values of this function at some gr... |
Definition:Riemann Zeta Function Contents Definition $\displaystyle \map \zeta s = \sum_{n \mathop = 1}^\infty \frac 1 {n^s}$ Analytic Continuation This analytic continuation is still called the Riemann zeta function and still denoted $\zeta$. Also see Results about the Riemann $\zeta$ functioncan be found here. Specia... |
Profit and loss play an important role in running businesses. Students must have heard that company A made a profit of 50 Lakhs in the year 2018. But do they know how the profit and loss are being calculated? For this students have to study Chapter 8 of ICSE Class 8 which deals with the Profit Loss and Discount. In thi... |
I am trying to solve this eigenvalue problem:
\begin{align} \mu \Psi(r) & = -\frac{1}{2}\left ( \Psi^{\prime \prime}(r) + \frac{2}{r} \Psi' (r)\right ) -4\pi \Psi(r) \int _0^\infty dr' r'^2 \frac{\Psi(r')^2}{r>}, \end{align} where $\mu$ is the eigenvalue, $\Psi(r)$ the eigenfunction I'm trying to solve, and $r_>$ is th... |
To really understand this you should study the differential geometry of geodesics in curved spacetimes. I'll try to provide a simplified explanation.
Even objects "at rest" (in a given reference frame) are actually moving through spacetime, because spacetime is not just space, but also time: apple is "getting older" - ... |
Variational Inference Last updated at 03-06-2018
It took me more than two weeks to finally to get the essence of variational inference. The painful but fulfilling process brought me to appreciate the really difficult (at least for me) but beautiful math behind it.
A couple of useful tutorials I found:
D. M. Blei, A. Ku... |
I'm not an expert in lens design. I need to build a lens having fixed the focal point $f$, the lens diameter $D$, the maximum thickness $d$, the refractive index $n$ and the half-angle $\theta$ entering on the lens and the angle that I want at the exiting from the lens. With these, I want to find the radius of curvatur... |
Difference between revisions of "Inaccessible"
m (→Hyper-inaccessible and more: by)
(13 intermediate revisions by 5 users not shown) Line 3: Line 3:
Inaccessible cardinals are the traditional entry-point to the large cardinal hierarchy, although weaker notions such as the [[worldly]] cardinals can still be viewed as la... |
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Now showing items 21-26 of 26
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... |
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Now showing items 1-9 of 9
Production of $K*(892)^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$ =7 TeV
(Springer, 2012-10)
The production of K*(892)$^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$=7 TeV was measured by the ALICE experiment at the LHC. The yields and the transverse momentum spectra $d^2 ... |
By the "noncompact $U(1)$ group", we mean a group that is isomorphic to $({\mathbb R},+)$. In other words, the elements of $U(1)$ are formally $\exp(i\phi)$ but the identification $\phi\sim \phi+2\pi k$ isn't imposed. When it's not imposed, it also means that the dual variable ("momentum") to $\phi$, the charge, isn't ... |
I have an eigenvalue problem:
$$-\frac{d^2}{dx^2} \psi(x) +V(x)\psi(x) = E \psi(x)$$
where $V(x)$ is a complex periodic potential: $$V(x) = 4[\cos^2(x) + i 0.3 \sin(2x)]$$
It has been claimed that the eigenvalues of this problem are all real (this is always the case if the coefficient of $\sin$ is less than $0.5$, whic... |
Learning Objectives
Calculate the kinetic energy of a particle given its mass and its velocity or momentum Evaluate the kinetic energy of a body, relative to different frames of reference
It’s plausible to suppose that the greater the velocity of a body, the greater effect it could have on other bodies. This does not d... |
Calculating the Heat Transfer Coefficient for Flat and Corrugated Plates
In many engineering applications involving conjugate heat transfer, such as designing heat exchangers and heat sinks, it’s important to calculate the heat transfer coefficient. Often determined with the aid of correlations and empirical relations,... |
A stationary stochastic process have a spectral density of $$ S_{XX}(\omega) = 1 - \frac{|\omega|}{8 \pi}. $$
What is the mean square value of the process?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign u... |
Indium compounds give a blue-violet flame test. The atomic emission responsible for this blue-violet color has a wavelength of 451 nm. Obtain the energy of a single photon of this wavelength.
Solution:
We will first find the frequency. To do so, we will write the wavelength, 451 nm in meters.
451\text{nm}\,=\,4.51\time... |
Alright, I have this group $\langle x_i, i\in\mathbb{Z}\mid x_i^2=x_{i-1}x_{i+1}\rangle$ and I'm trying to determine whether $x_ix_j=x_jx_i$ or not. I'm unsure there is enough information to decide this, to be honest.
Nah, I have a pretty garbage question. Let me spell it out.
I have a fiber bundle $p : E \to M$ where ... |
Alright, I have this group $\langle x_i, i\in\mathbb{Z}\mid x_i^2=x_{i-1}x_{i+1}\rangle$ and I'm trying to determine whether $x_ix_j=x_jx_i$ or not. I'm unsure there is enough information to decide this, to be honest.
Nah, I have a pretty garbage question. Let me spell it out.
I have a fiber bundle $p : E \to M$ where ... |
Now one of the tricky things about the solution to the wave equation expressed here
\[y(x,t) - y_0 = A \sin{\left( 2 \pi \dfrac{t}{T} \pm 2 \pi \dfrac{x}{\lambda} + \phi \right)}\]
is that it is a function of both space (the distance along the \(x\)-axis) and a function of time (the value of the time variable, \(t\)).
... |
Consider a $C^k$, $k\ge 2$, Lorentzian manifold $(M,g)$ and let $\Box$ be the usual wave operator $\nabla^a\nabla_a$. Given $p\in M$, $s\in\Bbb R,$ and $v\in T_pM$, can we find a neighborhood $U$ of $p$ and $u\in C^k(U)$ such that $\Box u=0$, $u(p)=s$ and $\mathrm{grad}\, u(p)=v$?
The tog is a measure of thermal resist... |
I was doing some computations for research purposes, which led me to this integral:
$$I(n) = \int_0^{\infty} (t^2+t^4)^n e^{-t^2-t^4}\,dt.$$
This is very suggestively written so as to employ a parametric differentiation technique as so:
$$\left(\frac{\partial^n}{\partial \alpha^n}\right)\int_0^{\infty}e^{-\alpha(t^2+t^... |
Definition:Conditional Preference Definition
Let $G$ be a lottery.
Let $P$ be a player of $G$.
Let $\Xi$ be the event space of $G$.
Let $f$ and $g$ be two lotteries in $G$.
Let $S \subseteq \Xi$ be an event.
A conditional preference is a preference relation $\succsim_S$ such that: $f \succsim_S g$ if and only if $f$ wo... |
The number of ways to select four marbles,
one of which is yellow, would in this case be $${}_1C_1\cdot{}_4C_3=1\cdot 4=4,$$ so the probability of selecting the yellow marble is $$\frac{4}{{}_5C_4}=\frac45.$$
Alternately, we can proceed stepwise as follows: There's a $\frac45$ chance that the first marble
isn't yellow.... |
I came across John Duffield Quantum Computing SE via this hot question. I was curious to see an account with 1 reputation and a question with hundreds of upvotes.It turned out that the reason why he has so little reputation despite a massively popular question is that he was suspended.May I ...
@Nelimee Do we need to m... |
Write out the simple equations
$$\begin{align}Y_j &= a_0 Z_j + a_1 Z_{j-1} + a_2 Z_{j-2}\\Y_{j-1} &= a_0 Z_{j-1} + a_1 Z_{j-2} + a_2 Z_{j-3}\end{align}$$
There are some very simple cases that make $Y_j \perp Y_{j-1}$ due to the independence assumption of the random variables $\{Z_i\}_{i\in\mathbb{Z}}$. An example is $a... |
Authors Abstract Highlights Keywords Main Subjects
Euler-Bernoulli hypothesis disregards the effects of the shear deformation and stress concentration which is in elementary theory of beam bending hence it is suitable for thin beams and is not suitable for deep beams since it is based on the assumption that the transve... |
NumericalAccuracyParameters¶ class
NumericalAccuracyParameters(
density_mesh_cutoff=None, k_point_sampling=None, radial_step_size=None, density_cutoff=None, interaction_max_range=None, number_of_reciprocal_points=None, reciprocal_energy_cutoff=None, bands_per_electron=None, occupation_method=None, exx_grid_cutoff=None,... |
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D-meson nuclear modification factor and elliptic flow measurements in Pb–Pb collisions at $\sqrt {s_{NN}}$ = 5.02TeV with ALICE at the LHC
(Elsevier, 2017-11)
ALICE measured the nuclear modification factor ($R_{AA}$) and elliptic flow ($\nu_{2}$) of D mesons ($D^{0}$, $D^{+}$, $D^{⁎+}$... |
Guassian Approximation to Binomial Random Variables
I was reading a paper on collapsed variational inference to latent Dirichlet allocation, where the classic and smart Gaussian approximation to Binomial variables was used to reduce computational complexity. It has been a long time since I first learnt this technique i... |
Within a certain system of measures, conversion factors are typically exact.
In imperial units, this means that a foot is
always twelve inches, a yard is always three feet and a mile is always 1760 yards. With the exact conversion, we can use multiplication to see that:
$$1~\mathrm{yd} = 36'' \pm 0''\\1~\mathrm{m} = 52... |
I think that the problem stems from the action of the operator $\hat p$. Please correct me if I am mistaken.
The action of the operator $\hat p$ in the quantum space is defined as $<x|\hat p|a>=-i \hbar \partial_x <x|a>$ if the state $|a>$ does not depend on x. In fact, if the state $|a>$ depended on $x$, like for inst... |
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 25, 2015 14:55–15:20, Функциональные пространства, Moscow, Steklov Mathematical Institute of RAS My Japanese book «Theory of Besov spaces, including a remark on the space $S'$ over $P$» Y. Saw... |
Permutation is an arrangement of objects in a definite order. When we look at the schedules of trains, buses and the flights we really wonder how they are scheduled according to the public’s convenience. Of course permutation is very much helpful to prepare the schedules on departure and arrival of these. Also when we ... |
Hello one and all! Is anyone here familiar with planar prolate spheroidal coordinates? I am reading a book on dynamics and the author states If we introduce planar prolate spheroidal coordinates $(R, \sigma)$ based on the distance parameter $b$, then, in terms of the Cartesian coordinates $(x, z)$ and also of the plane... |
Introduction
For a few months I have been using calculations of imaginative powers and I have come across the equation that most of you are familiar with by now being:
$$x^{\left(y\cdot i\right)}=\cos \left(y\cdot \ln \left(x\right)\right)+i\cdot \sin \left(y\cdot \ln \left(x\right)\right)$$
$x$ and $y$ are both consid... |
Consider the following background information:I have a sphere that equally divided in to two hemisphere P and S. There is a plane that separate two different zone. Upper zone called A and lower zone ...
I have a sphere with radius $r$ that equally divided in to two hemisphere P and S. There is a plane that separate two... |
Recently, I was thinking about various justifications for the definition of 0! (factorial of zero) which is
$$0!=1$$
The assumed value of 1 may seem quite obvious if you consider the recursive formula. However, it did not satisfy me “mathematically”. That’s why I decided to write these few sentences. I will give motiva... |
An $n$-dimensional (closed) pseudomanifold is a finite simplicial complex $X$ such that
(i) every simplex is a face of an $n$-simplex
(ii) every $(n-1)$-simplex is a face of exactly two $n$-simplices
(iii) Given any two $n$-simplices $\sigma, \tau \in X$ there is a sequence of $n$-simplices $\sigma_0 = \sigma, \ldots, ... |
How to Automate Meshing in Frequency Bands for Acoustic Simulations
Think of the curved lid of an elegant grand piano. The curve corresponds to the strings’ length, which corresponds to the perception of the pitch. This visual represents an important element of acoustics: Our perception of pitch is logarithmic. This me... |
Consider a $C^k$, $k\ge 2$, Lorentzian manifold $(M,g)$ and let $\Box$ be the usual wave operator $\nabla^a\nabla_a$. Given $p\in M$, $s\in\Bbb R,$ and $v\in T_pM$, can we find a neighborhood $U$ of $p$ and $u\in C^k(U)$ such that $\Box u=0$, $u(p)=s$ and $\mathrm{grad}\, u(p)=v$?
The tog is a measure of thermal resist... |
Consider a $C^k$, $k\ge 2$, Lorentzian manifold $(M,g)$ and let $\Box$ be the usual wave operator $\nabla^a\nabla_a$. Given $p\in M$, $s\in\Bbb R,$ and $v\in T_pM$, can we find a neighborhood $U$ of $p$ and $u\in C^k(U)$ such that $\Box u=0$, $u(p)=s$ and $\mathrm{grad}\, u(p)=v$?
The tog is a measure of thermal resist... |
Consider a $C^k$, $k\ge 2$, Lorentzian manifold $(M,g)$ and let $\Box$ be the usual wave operator $\nabla^a\nabla_a$. Given $p\in M$, $s\in\Bbb R,$ and $v\in T_pM$, can we find a neighborhood $U$ of $p$ and $u\in C^k(U)$ such that $\Box u=0$, $u(p)=s$ and $\mathrm{grad}\, u(p)=v$?
The tog is a measure of thermal resist... |
2015-09-24
Summarizing, it seems that Heegaard splittings of $0$-manifolds are problematic, or need a different definition, and similarly trisections of $1$-manifolds are problematic; in both cases, the problem is having part of the dimension be $(-1)$-dimensional. But Heegaard splittings of (closed) $1$-manifolds were... |
ISSN:
1078-0947
eISSN:
1553-5231
All Issues
Discrete & Continuous Dynamical Systems - A
January 2007 , Volume 17 , Issue 1
Select all articles
Export/Reference:
Abstract:
We study the first positive Neumann eigenvalue $\mu_1$ of the Laplace operator on a planar domain $\Omega$. We are particularly interested in how the... |
I'm confused about the impact that a mean reverting stock price process has on the value of an option on it.
Several sources say that there is indeed an impact on the price of an option:
Lo and Wang (1995)
Yet, another source seems to say that mean reversion has no impact on the price of an option:
"The drift term of t... |
Consider a sequence of $n$ independent Bernoulli trials drawn from a list of biases $p_1,p_2,...,p_n\in[0,1]$, respectively. We set the random variable $X$ to be the sum of these trials. On wikipedia, the distribution of $X$ is called the Poisson binomial distribution. We define the sample mean and sample variance of o... |
Layer Sensitivity
The
You can specify relative errors in layer thicknesses on
For each disturbed design, the variations \(\Delta MF_i\) with respect to design target
\[ \Delta MF_i=|MF(d_1,...,d_i(1+\delta_{H,L}),...,d_m)-MF(d_1,...,d_m)|\]
or to theoretical spectral characteristic \(S\) (Eq.(2)):
\[ \Delta MF_i=|S(d_1... |
With which notation do you feel uncomfortable?
closed as not constructive by Loop Space, Chris Schommer-Pries, Qiaochu Yuan, Scott Morrison♦ Mar 19 '10 at 6:10
As it currently stands, this question is not a good fit for our Q&A format. We expect answers to be supported by facts, references, or expertise, but this quest... |
1. What is a geometric sequence?
2. How is the common ratio of a geometric sequence found?
3. What is the procedure for determining whether a sequence is geometric?
4. What is the difference between an arithmetic sequence and a geometric sequence?
5. Describe how exponential functions and geometric sequences are simila... |
CryptoDB Paper: Searchable Encryption with Optimal Locality: Achieving Sublogarithmic Read Efficiency
Authors: Ioannis Demertzis Dimitrios Papadopoulos Charalampos Papamanthou Download: DOI: 10.1007/978-3-319-96884-1_13 Search ePrint Search Google Presentation: Slides Conference: CRYPTO 2018 Abstract: We propose the fi... |
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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 ... |
Bootstrap Introduction
In this course, we will rely on a method called the Bootstrap to approximate the sampling distribution of our statistics, insted of relying so directly on the Central Limit Theorem. The name bootstrap shows up a lot these days, and I’m positive you have used this word to describe something differ... |
In Part VI, we saw an outline of the Pinocchio zk-SNARK. We were missing two things – an HH that supports both addition and multiplication that is needed for the verifier’s checks, and a transition from an interactive protocol to a non-interactive proof system.
In this post we will see that using elliptic curves we can... |
In math mode one can do
$\hbar$, which produces an
h with a little line through the top of it. I want to do the same thing, except with the letter
d instead. Is there a generalization of
$\hbar$ that works for other letters besides just
h?
You can create a specific
command
\dbar for this purpose.
\newcommand{\dbar}{d\h... |
Let $X1, \dots, Xn$ be a random sample of size n from the continuous distribution with pdf $f_X(x|\theta) = \frac{e^{-x}}{1-e^{-\theta}} I(x)_{[0,\theta]} I(\theta)_{(0, \infty)}$.
(1) Find the maximum likelihood estimator for $\theta$.
(2) Find the maximum likelihood estimator for the median,$\lambda$, of this distrib... |
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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 ... |
Four of these evaluated a EVP4593 nmr propensity for sharing with no guarantee of reciprocity, while four considered a mutual sharing arrangement. PAIRS metric scoring and weighting The total cooperative sustainability metric is the weighted sum of the identified potential impacts within each sector. Ruboxistaurin Thre... |
Definition:Upper Closure/Set Definition
Let $T \subseteq S$.
The upper closure of $T$ (in $S$) is defined as: $T^\succeq := \bigcup \left\{{t^\succeq: t \in T}\right\}$
where $t^\succeq$ denotes the upper closure of $t$ in $S$.
That is:
$T^\succeq := \left\{ {u \in S: \exists t \in T: t \preceq u}\right\}$ $a^\preccurl... |
Proof that \(\pi\) is irrational.
Assume \(\pi\) is rational, that is, assume it is of the form \(\frac{a}{b}\) where \(a\) and \(b\) are both positive integers. Let\[\begin{align} f(x) &= \frac{x^n (a-bx)^n}{n!} \\ F(x) &= f(x) + \cdots + (-1)^j f^{[2j]}(x) + \cdots + (-1)^n f^{[2n]}(x) \end{align}\]
where \(f^{[k]}\)... |
Actually, it's not pre defined that the right hand side of the X axis is positive and the upward Y direction is positive.
For example, a lot of the time in computer science, we take the bottom Y direction as positive (since text flows from top to bottom, it makes it easier to think of it that way).
However, if you arbi... |
Global existence and blow-up results for an equation of Kirchhoff type on $\mathbb R^N$
DOI: http://dx.doi.org/10.12775/TMNA.2001.006
Abstract
We discuss the asymptotic behaviour of solutions for the nonlocal
quasilinear hyperbolic problem of Kirchhoff Type $$ u_{tt}-\phi (x)\Vert\nabla u(t)\Vert^{2}\Delta u+\delta u_{... |
I am writing math book and I am interested how I should print them correctly. I know that the main thing is sameness across the whole document, but I am really interested in ways which are recommended by respectable persons and societies, i.e. Knuth or AMS.
I've already asked this question to find the true.
Now I am ed... |
And I think people said that reading first chapter of Do Carmo mostly fixed the problems in that regard. The only person I asked about the second pset said that his main difficulty was in solving the ODEs
Yeah here there's the double whammy in grad school that every grad student has to take the full year of algebra/ana... |
This is just an elaboration of Martin's astute comment above:
Let $N = \phi^{-1} \{0 \}$. Then $\nu A = \nu (A \setminus N)$. Furthermore, $N^c = \cup_k \Delta_k$, where $\Delta_k = \phi^{-1} (\frac{1}{k}, \infty)$.
We can bound $\mu \Delta_k$ as follows: $\|\phi\|_1 \ge \nu \Delta_k = \int_{\Delta_k} \phi d \mu \ge \f... |
Definition:Ordering/Definition 2 Definition
Let $S$ be a set.
An
ordering on $S$ is a relation $\mathcal R$ on $S$ such that: $(1): \quad \mathcal R \circ \mathcal R = \mathcal R$ $(2): \quad \mathcal R \cap \mathcal R^{-1} = \Delta_S$
where:
$\circ$ denotes relation composition $\mathcal R^{-1}$ denotes the inverse of... |
When considering a bilattice you need to distinguish two type of sites.
A B A B
-------o-------o---------------o-------o----
|<--a-->|<------b------>|
For instance you can denote the two kind of sites with letters $A$ and $B$ as it is shown above. Then you have now two different creation and destruction operators . $c_... |
Discrete space
In topology, a
discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous sequence, meaning they are isolated from each other in a certain sense. The discrete topology is the finest topology that can be given on a set, i.e., i... |
(Sorry was asleep at that time but forgot to log out, hence the apparent lack of response)
Yes you can (since $k=\frac{2\pi}{\lambda}$). To convert from path difference to phase difference, divide by k, see this PSE for details http://physics.stackexchange.com/questions/75882/what-is-the-difference-between-phase-differ... |
Date of Award
1-1-2012
Document Type
Campus Access Dissertation
Department
Mathematics
First Advisor
Lu, Linyuan
Abstract
This dissertation mainly comes from my recent study of fractional chromatic numbers of graphs, spectra of edge-independent random graphs, Laplacian spectra of hypergraphs, and loose Laplacian spectr... |
The Annals of Statistics Ann. Statist. Volume 7, Number 6 (1979), 1264-1276. Estimation of the Inverse Covariance Matrix: Random Mixtures of the Inverse Wishart Matrix and the Identity Abstract
Let $S_{p \times p}$ have a nonsingular Wishart distribution with unknown matrix $\Sigma$ and $k$ degrees of freedom. For two ... |
The setup is as follows:
$k/\mathbb{Q}_p$ is a finite extension, $\mathfrak{p}$ is the maximal ideal of $\mathcal{O}_k$, $q=\#(\mathcal{O}_k/\mathfrak{p})$ $k'/k$ is a finite unramified extension of degree $d$
It's known that for a relative Lubin-Tate formal group $\mathcal{F}$ relative to $k'/k$ with parameter $\xi$ (... |
Definition:Group Direct Product/Finite Product Definition
Let $\struct {G_1, \circ_1}, \struct {G_2, \circ_2}, \ldots, \struct {G_n, \circ_n}$ be groups.
Let $\displaystyle G = \prod_{k \mathop = 1}^n G_k$ be their cartesian product.
Let $\circ$ be the operation defined on $G$ as: $\circ := \tuple {g_1, g_2, \ldots, g_... |
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... |
@Rubio The options are available to me and I've known about them the whole time but I have to admit that it feels a bit rude if I act like an attribution vigilante that goes around flagging everything and leaving comments. I don't know how the process behind the scenes works but what I have done up to this point is lea... |
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... |
You can take the expression $C=\frac{\delta Q}{\mathrm dT}$ as the infinitesimal version of$$C=\frac{Q}{\Delta T}$$or a formal rewrite of$$\delta Q=C\mathrm dT$$which, however, doesn't make sense in the language of differential forms as division by the form $\mathrm dT$ is not defined.
Let's take a look at the meaning ... |
Probability Seminar Spring 2019 Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. We usually end for questions at 3:15 PM.
If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu
January 31, Oanh Nguyen, Princeton
Title:... |
In this section we contrast the classical and quantum mechanical treatments of the harmonic oscillator, and we describe some of the properties that can be calculated using the quantum mechanical harmonic oscillator model. The problems at the end of the chapter require that you do some of these calculations, which invol... |
Update: I went over this answer and clarified some parts. Most importantly I expanded the Forces section to connect better with the question.
I like your reasoning and you actually come to the right conclusions, so congratulations on that! But understanding the relation between forces and particles isn't that simple an... |
Abstract
Our main result is a nontrivial lower bound for the distortion of some specific knots. In particular, we show that the distortion of the torus knot $T_{p,q}$ satisfies $\delta(T_{p,q}) \geq \frac 1{160}\min(p,q)$. This answers a 1983 question of Gromov.
[bing] R. H. Bing, "An alternative proof that $3$-manifol... |
Export file: Format RIS(for EndNote,Reference Manager,ProCite) BibTex Text Content Citation Only Citation and Abstract
Some results on ordinary words of standard Reed-Solomon codes
1 Mathematical College, Sichuan University, Chengdu 610064, P. R. China;
2 Department of Mathematics, Sichuan Tourism University, Chengdu 6... |
Fit the Thomas Point Process by Minimum Contrast
Fits the Thomas point process to a point pattern dataset by the Method of Minimum Contrast using the K function.
Usage
thomas.estK(X, startpar=c(kappa=1,scale=1), lambda=NULL, q = 1/4, p = 2, rmin = NULL, rmax = NULL, ...)
Arguments X
Data to which the Thomas model will ... |
Hyperbolic Embeddings with a Hopefully Right Amount of Hyperbole by Chris De Sa, Albert Gu, Chris Ré, and Fred Sala
Valuable knowledge is encoded in structured data such as carefully curated databases, graphs of disease interactions, and even low-level information like hierarchies of synonyms. Embedding these structure... |
In order to present affine spaces in this fashion you need a variation of operads called
clones or cartesian operads (which eventually are equivalent to Lawvere theories). You can find some references on nLab.
A clone is like a symmetric operad, but with all maps between finite sets acting not just bijections. However,... |
In Praise of Odds Problem
Solution setup 1
The tied games are of no consequence in determining the winner of the series and can be ignored. We know, that the odds of $A$ winning a game is $p:q$ so that a step towards $A$ winning a series has the probability of $\displaystyle p'=\frac{p}{p+q}.$ For $B$ the probability i... |
Many important biological reactions, such as the formation of double-stranded DNA from two complementary strands, can be described using second order kinetics. In a second-order reaction, the sum of the exponents in the rate law is equal to two. The two most common forms of second-order reactions will be discussed in d... |
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Physical Review Letters, ISSN 0031-9007, 03/2018, Volume 120, Issue 12, pp. 121801 - 121801
A measurement is reported of the ratio of branching fractions R(J/ψ)=B(B_{c}^{... |
Optimizing Thermal Processes in Carbon Manufacturing with Simulation Guest blogger Bojan Jokanović of SGL Carbon GmbH, one of the world’s leading manufacturers of carbon-based products, discusses the optimization of thermal processes in the carbon industry.
Carbon products are used in many industries, including semico... |
Fit the Matern Cluster Point Process by Minimum Contrast Using Pair Correlation
Fits the Matern Cluster point process to a point pattern dataset by the Method of Minimum Contrast using the pair correlation function.
Usage
matclust.estpcf(X, startpar=c(kappa=1,scale=1), lambda=NULL, q = 1/4, p = 2, rmin = NULL, rmax = N... |
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Note by Trishit Chandra 4 years, 8 months ago
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explai... |
Let $K$ be $\mathbb{Q}_p$ for some prime $p$ (or more generally an unramified extension $W(\mathbb{F}_q)$ of $\mathbb{Q}_p$). If $\xi \in K$, we can write it in a unique way in the form $\sum a_i p^i$ where each $a_i$ is either zero (and must be such for all but finitely many $i<0$) or a root of unity (i.e., a $(q-1)$-... |
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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 ... |
I have to prove that if $\sum_{n=1}^{\infty} a_{n}$ is a convergent series with positive real numbers, then $\sum_{n=1}^{\infty} (a_{n})^\frac{n}{n+1}$ converges. I also wonder if the converse is true. Any suggestion, hint will
be very welcome. Thanks.
I have to prove that if $\sum_{n=1}^{\infty} a_{n}$ is a convergent... |
Difference between revisions of "Algebraic Geometry Seminar Fall 2016"
(→Fall 2016 Schedule)
(→Fall 2016 Schedule)
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|December 9
|December 9
|[https://sites.google.com/a/umich.edu/robert-m-walker/ Robert Walker] (Michigan)
|[https://sites.google.com/a/umich.edu/robert-m-walker/ Robert Walker] (Michigan)... |
The monstrous moonshine picture is a sub-graph of Conway’s Big Picture on 218 vertices. These vertices are the classes of lattices needed in the construction of the 171 moonshine groups. That is, moonshine gives us the shape of the picture.
(image credit Friendly Monsters)
But we can ask to reverse this process. Is the... |
This answer focuses on identifying families of solutions to the problem described in the question.
I've made two provisional conjectures in order to make progress with the problem:
The result can be stated for three $2n$-gons rather than two $n$-gons and one $2n$-gon.
Solutions have mirror symmetry. Or equivalently, in... |
1. The population of a pod of bottlenose dolphins is modeled by the function [latex]A\left(t\right)=8{\left(1.17\right)}^{t}[/latex], where
t is given in years. To the nearest whole number, what will the pod population be after 3 years?
2. Find an exponential equation that passes through the points (0, 4) and (2, 9).
3... |
How to Use Nodes in LaTeX Using PGF/TikZ YouTube Arrows Operators Functions Miscel. Alphabet Brackets Dots Var. Size EXTRA Textcomp Marvosym Pifont Chemarrow Introduction II Note About Packages I did not separate the the AMS-LATEX symbols from the standard ones. Do not forget the include nusepackagefamsmath,amssymb,lat... |
Once we recognize a need for a linear function to model the data in “Draw and interpret scatter plots,” the natural follow-up question is “what is that linear function?” One way to approximate our linear function is to sketch the line that seems to best fit the data. Then we can extend the line until we can verify the
... |
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