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\(\text{FIGURE XIV.1}\)
The circuit in Figure \(\text{XIV.1}\) contains two equal resistances, two equal capacitances, and a battery. The battery is connected at time \(t=0\). Find the charges held by the capacitors after time \(t\).
Apply Kirchhoff’s second rule to each half:
\[(\dot Q_1 + \dot Q_2)RC + Q_2 = CV, \tag... |
I am trying to figure out the details on how to implement the 3D structure tensor in C/C++ in an easy but efficient way and need some advice!
For a discrete function $ I(x_i,y_j,z_k)$ the 3D structure tensor is given by: $$ S=\begin{pmatrix} W \ast I_x^2 & W \ast (I_xI_y) & W \ast (I_xI_z)\\ W \ast (I_xI_y) & W \ast I_... |
All graphs considered will be directed graphs $G=(V,E)$, with $E \subseteq V \times V$ (so possibly with self-loops). For $k \in \mathbb{N}_{\geq 1}$, I will write $[k]$ the set $\{1,\ldots,k\}$. A
$k$-valuation of $G$ is a mapping $\nu: V \to [k]$. Given a $k$-valuation $\nu$ of $G=(V,E)$, I define the graph $\nu(G)=(... |
I'm trying to derive an approximation for the zero-rebate barrier option under the Heston model: $$dS_t=\mu S_tdt+\sqrt{v_t}S_tdW^S_t$$ $$dv_t=\kappa(\bar{v}-v_t)dt+\eta\sqrt{v_t}dW^v_t,\quad d\langle W^S,W^v\rangle_t=\rho dt$$ The payoff of a down-and-out option is: $$\mathcal{C}_T=(S_T-k)\mathbb{I}_{\{S_T\geq K\}}\ma... |
Answer
$d=r(1-\cos \frac{\theta}{2})$
Work Step by Step
Step 1: $d$ is the difference between $r$ and $h$. Step 2: $d=r-h$ Step 3: Since $h=r\cos \frac{\theta}{2}$, $d=r-h=r-(r\cos \frac{\theta}{2})=r(1-\cos \frac{\theta}{2})$
You can help us out by revising, improving and updating this answer.Update this answer
After ... |
The Chi-Square Distribution
[latexpage]
The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two populations follow the same unknown distribution. A different test, called the test for homogeneity, can be used to draw a conclusion about... |
In fractional reserve banking commercial banks create money when they make loans. When these loans are paid back the account is zeroed, the created money disappears, but the bank is still entitled interest. Where does the money to pay the interest come from? Does the central bank necessarily have to inflate the currenc... |
Consider the Sturm-Liouville
regular problem in self-adjoint form$$(A-\zeta)\,v=f$$whose explicit solution is$$v=\int_a^bG(x,s)\,f(s)\,ds$$where the Green function$$G(x,s)=\begin{cases}\frac{\varphi_b(x)\,\varphi_a(s)}{W(s)},&a\leq{s}\leq{x}\\[0.1in]\frac{\varphi_a(x)\,\varphi_b(s)}{W(s)},&x\leq{s}\leq{b}\end{cases}$$i... |
I am sorry for spamming MO with questions I have not thought about for more than 3 hours, but currently I am quite busy with preparing a talk on representations of $S_n$, and I don't want these to get ...
Let a square $n\times n$ real matrix ${\bf A}$ and two vectors ${\bf x}$ and ${\bf b}$ of length $n$, such that $${... |
Introduction
The perfect gas equation of state \(PV=NkT\) is manifestly incapable of describing actual gases at low temperatures, since they undergo a discontinuous change of volume and become liquids. In the 1870’s, the Dutch physicist Van der Waals came up with an improvement: a gas law that recognized the molecules ... |
(This question came up in a conversation with my professor last week.)
Let $\langle G,\cdot \rangle$ be a group. Let $x$ be an element of $G$.
Is there always an isomorphism $f : G \to G$ such that $f(x) = x^{-1}$ ? What if $G$ is finite?
MathOverflow is a question and answer site for professional mathematicians. It on... |
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∑n=1∞(ζ(2n)n−12n−12n+1)\large \sum_{n=1}^{\infty} \left(\dfrac{\zeta(2n)}{n} - \dfrac{1}{2n} - \dfrac{1}{2n+1} \right) n=1∑∞(nζ(2n)−2n1−2n+11)
Find the value of the closed form of the above series.
Give your answer to 1 decimal place.
Notation: ζ(⋅)\zeta(\cdot) ζ... |
We know that there are 2 types of risk which are systematic and unsystematic risk. Systematic risk can be estimate through the calculation of β in CAPM formula. But how can we estimate the unsystematic risk quantitatively? is there any formula or calculation that can be related to the measurement of unsystematic risk?
... |
In the Mass Effect series there's a terrestrial planet called Dekuuna with 10 times the mass of Earth, a surface gravity of 4G and a native intelligent race. I was just wondering if it was possible for a planet like that to exist in reality, and if yes, what are some factors that might lead to its formation assuming it... |
Seeing that in the Chomsky Hierarchy Type 3 languages can be recognised by a DFA (which has no stacks), Type 2 by a DFA with one stack (i.e. a push-down automaton) and Type 0 by a DFA with two stacks (i.e. with one queue, i.e. with a tape, i.e. by a Turing Machine), how do Type 1 languages fit in...
Considering this ps... |
For general discussion about Conway's Game of Life.
https://catagolue.appspot.com/haul/b3s/C1?committed=2
This would suggest that Catagolue does not accept hauls containing zero objects. This greatly skews the statistics for this rule, because, from the times of submission, it appears that most hauls produce zero objec... |
Given an infinite number of samples $(N)$, a higher (or lower) number of samples $(cN)$ can be derived using sinc interpolation followed by sampling. How can this be applied to finite length signals?
With $\mathrm{sinc}$ interpolation, one can derive a continuous-time signal as:
$$y(t) = \sum^{\infty}_{n=-\infty} y[n]\... |
If you consider particular enough models, the assignment of the allowed hypercharges may be easily calculated. The models themselves are constrained by various additional conditions such as anomaly cancellation.
For example, take an $SO(10)$ Grand Unified Theory. In that theory, all the fermions arise from the chiral s... |
STMicro describes the IIS3DHHC as low-noise and high-stability, important factors in an IC aiming to suit precision applications. According to its datasheet, it could be used in leveling, incline measurement, and positioning of systems such as antennas.
Graphic depicting the positive accelerations in three orthogonal a... |
Problem 435
Let $\calF[0, 2\pi]$ be the vector space of all real valued functions defined on the interval $[0, 2\pi]$.
Define the map $f:\R^2 \to \calF[0, 2\pi]$ by \[\left(\, f\left(\, \begin{bmatrix} \alpha \\ \beta \end{bmatrix} \,\right) \,\right)(x):=\alpha \cos x + \beta \sin x.\] We put \[V:=\im f=\{\alpha \cos ... |
An introduction on using arrays can be found here.
Whether taught formally in school or not, the properties that apply to numbers in operations are encountered by children during their learning of mathematics. A sound understanding of these properties provides a good basis for developing operations, including mental ca... |
Positronium consists of an electron and a positron. By what factor is a positronium atom bigger than a hydrogen atom?
The solution has been explained to me. The characteristic length when solving for the energy levels of the hydrogenic atom is the Bohr radius: $$a_0 \equiv \frac{4 \pi \epsilon_0 \hbar^2}{\mu e^2}$$
For... |
In mechanics, the space can be described as a Riemann manifold. Forces, then, can be defined as vector fields of this manifold. Accelerations are linear functions of forces, so they are covector fields. But what about velocities and many other kinds of vectors?
Of course velocities are not forces, so I don't think it i... |
I can't address this quesion specifically because you don't give enough context. However as a general rule the reason we often put things into the form $1+x$ is so we can approximate them using a binomial expansion.
In this case we can write your final equation as:
$$ G(s) = \frac{k}{a}\left(1 +\frac{s}{a}\right)^{-1} ... |
Tagged: normal subgroup If a Half of a Group are Elements of Order 2, then the Rest form an Abelian Normal Subgroup of Odd Order Problem 575
Let $G$ be a finite group of order $2n$.
Suppose that exactly a half of $G$ consists of elements of order $2$ and the rest forms a subgroup. Namely, suppose that $G=S\sqcup H$, wh... |
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... |
OK, I'll try to answer your questions:Q1: the number of taps is not equal the to the filter order. In your example the filter length is 5, i.e. the filter extends over 5 input samples [$x(n), x(n-1), x(n-2), x(n-3), x(n-4)$]. The number of taps is the same as the filter length. In your case you have one tap equal to ze... |
If total energy is conserved just transformed and never newly created, is there a sum of all energies that is constant? Why is it probably not that easy?
No. The universe is dominated by dark energy, which is consistent with a cosmological constant $\Lambda$. In other words, as the universe expands, the energy density ... |
I want to solve 3 coupled PDEs equations. They depend on time, radius and length. I used the method of lines (MOL) and converted them to a system of ODEs in time. Now I want to solve them using MATLAB. Here are the equations:
\begin{align} &\frac{\partial C_{i,p}}{\partial t} + \frac{u_{cp}C_{i,p}}{r} + C_{i,p}\frac{\p... |
This would lead to a hypergeometric distribution: X follows Hypergeometric(K, N, n), where:
K = number of defect units in one daily production N = the population size = the number of units produced per day n= the sample size = 25 draws, and in which p = the proportion of success/defect units in a daily production:p=K/N... |
I think this is a question is some very elementary circuit design but... I want to use a varactor diode to tune the resonance frequency of a resonator I have built.
I understand that a varactor is a voltage dependent capacitor, but I can't get my head around the correct configuration of using them.
Usually if I want to... |
In an old paper by Gudder http://www.ams.org/journals/proc/1969-021-02/S0002-9939-1969-0243793-1/S0002-9939-1969-0243793-1.pdf,
he defined: "a quantum probability space is a triple $(\Omega, C, M)$ where $C$ is a $\sigma$-class of subsets of $\Omega$ and $M$ is the set of states on $C$."
What does a $\sigma$-class mean... |
I'm studying statistical mechanics, in particular classical regime for Fermi Dirac and Bose Einstein gases. Time average value for occupation numbers in FDBE statistics: $$ \langle n_\epsilon\rangle_{FB} = \frac{1}{e^{(\epsilon-\mu)\beta}\pm1} $$ For Boltzmann Statistics: $$ \langle n_\epsilon \rangle_B = e^{(\mu-\epsi... |
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Kaon femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
(Elsevier, 2017-12-21)
We present the results of three-dimensional femtoscopic analyses for charged and neutral kaons recorded by ALICE in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV. Femtoscopy is used to... |
The Annals of Mathematical Statistics Ann. Math. Statist. Volume 31, Number 1 (1960), 222-224. Sums of Small Powers of Independent Random Variables Abstract
Let $(x_{nk}), k = 1, 2, \cdots, k_n; n = 1, 2, \cdots$ be a double sequence of infinitesimal random variables which are rowwise independent (i.e. $\lim_{n \righta... |
Difference between revisions of "stat946w18/Implicit Causal Models for Genome-wide Association Studies"
(→Implicit causal model in Edward)
(→Implicit causal model in Edward)
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== Implicit causal model in Edward ==
== Implicit causal model in Edward ==
−
[[File: coddde.png|600px
+
[[File: coddde.png|60... |
Radius of the base of a cylinder: \(R\)
Generatrix of a cylinder: \(L\) Height of a cylinder: \(H\) Heights of a truncated cylinder: \({h_1},\) \({h_2}\)
Generatrix of a cylinder: \(L\)
Height of a cylinder: \(H\)
Heights of a truncated cylinder: \({h_1},\) \({h_2}\)
Area of the base: \({S_B}\)
Lateral surface area: \(... |
Hi Quantitative Finance Stack Exchange,
It's my first go at GARCH models so give me a chance with my phrasing. I'm looking for an answer to a general question.
First, I understand that you can have a forecasting model to forecast returns and a GARCH model to forecast volatility. Let's proceed with the simplest example:... |
Difference between revisions of "stat946w18/Implicit Causal Models for Genome-wide Association Studies"
(→Implicit causal model in Edward)
(→Implicit causal model in Edward)
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== Implicit causal model in Edward ==
== Implicit causal model in Edward ==
+
[[File: coddde.png|600px]]
[[File: coddde.png|60... |
2.1 IS FINALLY OUT
Posts:3138 Joined:June 19th, 2015, 8:50 pm Location:In the kingdom of Sultan Hamengkubuwono X ?muzik wrote:OH MY GOD 2.1 IS FINALLY OUT I waited over a year for this.Saka wrote:?muzik wrote:OH MY GOD 2.1 IS FINALLY OUT
http://geometry-dash.wikia.com/wiki/Update_2.1
Code: Select all
/bin/ls
V ⃰_η=c²√(... |
Latent Position Two-Graph Testing¶
[1]:
import numpy as npnp.random.seed(88889999)from graspy.inference import LatentPositionTestfrom graspy.embed import AdjacencySpectralEmbedfrom graspy.simulations import sbm, rdpgfrom graspy.utils import symmetrizefrom graspy.plot import heatmap, pairplot%matplotlib inline
Generate ... |
Theorem. $\int_0^\infty \sin x \phantom. dx/x = \pi/2$.
Poof. For $x>0$ write $1/x = \int_0^\infty e^{-xt} \phantom. dt$,and deduce that $\int_0^\infty \sin x \phantom. dx/x$ is$$\int_0^\infty \sin x \int_0^\infty e^{-xt} \phantom. dt \phantom. dx= \int_0^\infty \left( \int_0^\infty e^{-tx} \sin x \phantom. dx \right)\... |
Answer
Second quadrant
Work Step by Step
$\theta=-3485^{\circ}$ $\cos\theta = -0.423$ $\sin\theta = 0.906$ As the $\cos\theta$ is negative and the $\sin\theta$ is positive, the angle lies in the second quadrant.
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an an... |
Angle: \(\alpha\)
Trigonometric functions: \(\sin \alpha,\) \(\cos \alpha,\) \(\tan \alpha,\) \(\cot \alpha,\) \(\sec \alpha,\) \(\csc \alpha\)
Trigonometric functions: \(\sin \alpha,\) \(\cos \alpha,\) \(\tan \alpha,\) \(\cot \alpha,\) \(\sec \alpha,\) \(\csc \alpha\)
Set of integers: \(\mathbb{Z}\)
Integers: \(n\)
In... |
Can you use the digits 2, 0, 1 and 7 each only
once to create the number 88?
What about this
$\left(\frac{0!}{.\overline1}\right)^2 + 7 = 88$
where
$.\overline1 = 0.1111\ldots$
Because modern math is done with computers, here's some Python:
>>> int(str(0 + 1 + 7) * 2)88
For that matter:
In base 86: $12 + 0*7$
If floor ... |
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Now showing items 1-10 of 26
Kaon femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
(Elsevier, 2017-12-21)
We present the results of three-dimensional femtoscopic analyses for charged and neutral kaons recorded by ALICE in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV. Femtoscopy is used to... |
The target signal is generated by the following analytically solvable hybrid chaotic oscillator
\begin{equation}\label{eq:1} \ddot{u} - 2\beta \dot{u} +(\omega^2+\beta^2)(u-s)=0 \end{equation}
where
$\omega$ determines the symbol period as $T = \frac{2\pi}{\omega}$.
$\beta \in (0,T^{-1}\ln 2)$ affects the fluctuating a... |
It is common to read that the lifetime of a virtual particle is given by the uncertainty relation: $$\tau \sim \frac{\hbar}{E}$$ on the premise that the virtual particle 'borrows energy'. This statement is infact wrong (at least I think it is) since energy is conserved in Feynmann diagrams and thus no energy needs to b... |
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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 light nuclei and anti-nuclei in $pp$ and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
(American Physical Society, 2016-02)
The production of (anti-)deuteron and (anti-)$^{3}$He nuclei in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV has ... |
This problem reminds me of tension field theory and related problems in studying the shape of inflated inextensible membranes (like helium balloons). What follows is far from a solution, but some initial thoughts about the problem.
First, since you're allowing creasing and folding, by Nash-Kuiper it's enough to conside... |
Previous Article in This Series
Supporting Information
A Quick Review
In the previous article we covered the relationship between irradiance and illuminance in the context of light-sensitive electronic components. The first factor governing this conversion is the optical sensor’s sensitivity, i.e., the relationship bet... |
I have a question regarding the Mordell Weil theorem a number field $K$. I read the proof of the Mordell Weil theorem in "rational points on elliptic curves" by Tate and Silverman. They presented a proof for the case where $E[2] \in E (\mathbb{Q}) $ where $E : Y^2 = X(X^2 + AX + B)$ and mentioned before hand that it is... |
Two-dimensional polar coordinates
Sometimes the symbols \(r\) and \(θ\) are used for two-dimensional polar coordinates, but in this section I use \((ρ , \phi)\) for consistency with the \((r, θ, \phi)\) of three-dimensional spherical coordinates. In what follows I am setting vectors in \(\textbf{boldface}\). If you mak... |
I write down the solution for the Heston model. You can directly generalise the result.Let $f=f(t,s,v)\in C^{1,2,2}(\mathbb{R}_+^3)$ be a real-valued function (portfolio value) and consider the two-dimensional stochastic process $(S_t,v_t)$ with\begin{align*}\mathrm{d}S_t&=(r-q) S_t \mathrm{d}t+\sqrt{v_t} S_t \mathrm{d... |
So I'm trying to decide whether the cosine part is intended to be plugged in for $z$ or whether it is strictly part of $h[n]$. (the number a lies in the open unit disk)
I mean I was pretty sure it was all part of $h[n]$ but then upon performing the z-transform I get this rational function
$$\frac{1 - a\cos(2\pi\frac{f_... |
The textbook (Scott Dodelson,
Modern Cosmology, Section 2.2 Distance, Page 35-36) states as follows:
Another way of inferring distances in astronomy is to measure the flux from an object of known luminosity. Recall that (forgetting about expansion for the moment) the observed flux $F$ a distance d from a source of know... |
I'm looking for a solution to make number $75$ with numbers $1$ $9$ $6$ $2$ in that order and the same rules as in Use 2 0 1 and 8 to make 67.
Here a copy of those rules:
You must use all 4 digits. Only the digits $1$, $9$, $6$, and $2$ can be used in that order.
You can make multi-digit numbers out of the numbers. Exa... |
The problem comes up already with a "more minimal" example:
\documentclass{article}
\usepackage{amsmath}
\begin{document}
$\breve{\breve{a}\breve{b}}$
\end{document}
which produces
! Undefined control sequence.
\macc@adjust ->\dimen@ \macc@kerna
\advance \dimen@ \macc@kernb \kern -\dimen@
thus showing that the problem ... |
Difference between revisions of "stat946w18/Rethinking the Smaller-Norm-Less-Informative Assumption in Channel Pruning of Convolutional Layers"
m (→Image Foreground-Background Segmentation Experiment)
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== Results ==
== Results ==
− +
=== CIFAR-10 Experiment ===
=== CIFAR-10 Experiment ===
Re... |
Tagged: normal subgroup If a Half of a Group are Elements of Order 2, then the Rest form an Abelian Normal Subgroup of Odd Order Problem 575
Let $G$ be a finite group of order $2n$.
Suppose that exactly a half of $G$ consists of elements of order $2$ and the rest forms a subgroup. Namely, suppose that $G=S\sqcup H$, wh... |
The mass spectrum can be found here.
I am interested to know what ion this is and why the peak at $m/z = 105$ is higher than the peak at $m/z = 106$ (which I believe corresponds to $\ce{C5H4NCO+}$).
Chemistry Stack Exchange is a question and answer site for scientists, academics, teachers, and students in the field of ... |
Assume we have a sample of data $\{x_1, \dots, x_n\}$ and a family of distributions $(f_\theta)_\theta$ indexed by some parameter vector $\theta$. We would like to fit $\theta$ to $\{x_1, \dots, x_n\}$ to obtain $\hat{\theta}$, then assess the goodness of fit of $f_{\hat{\theta}}$ to $\{x_1, \dots, x_n\}$.
Is there a g... |
Difference between revisions of "stat946w18/Rethinking the Smaller-Norm-Less-Informative Assumption in Channel Pruning of Convolutional Layers"
(→Results)
(→Results)
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== Results ==
== Results ==
− +
=== CIFAR-10 Experiment ===
=== CIFAR-10 Experiment ===
Latest revision as of 00:18, 21 April 2018 Conte... |
Heine Definition of Continuity
A real function \(f\left( x \right)\) is said to be continuous at \(a \in \mathbb{R}\) (\(\mathbb{R}-\) is the set of real numbers), if for any sequence \(\left\{ {{x_n}} \right\}\) such that
\[\lim\limits_{n \to \infty } {x_n} = a,\]
it holds that
\[\lim\limits_{n \to \infty } f\left( {{... |
I added tags to comment
(A): multiple errors: it should be $=\exp \bigl[\nu \bigr( \log|x+iy|+i\arg (x+iy)\bigr)\bigr]$. First factor $\nu$ is applied to everything second, we do not allow $(x+iy)$ to cross $(-\infty,0]$; so angle is defined uniquely and it rans from $-\pi$ to $\pi$.
Anyway: $[(x\pm i \varepsilon)^\nu]... |
A propositional proof system according to Cook and Reckhow for a language $L \subseteq \Sigma^{\ast}$ is a deterministic polynomial time function $f : \Sigma^{\ast} \to L$ that is onto.
For $y \in L$ a word $x \in \Sigma^{\ast}$ with $f(x) = y$ is called a
proof for $y$.
Here is a post on the intuition, but I do not ge... |
Let me rephrase what you want to do as:
I want to approximately calculate the integral of the product of two non-negative discrete-time signals over time. Each signal is sampled from a band-limited continuous-time signal at a sampling frequency $2N$ times its highest frequency. A method is preferred that gives about 5 ... |
I am not an an expert in set theory, so this question could be trivial. I am sorry in that case.
Let $I$ be a set and $\{ X_i \}_{i \in I}$ be a collection of sets such that $X_i \neq \emptyset$ for all $i \in I$. The axiom of choice tells precisely that the set $$ \prod_{i \in I} X_i \neq \emptyset $$ is not empty. Th... |
stat946w18/Implicit Causal Models for Genome-wide Association Studies Contents 1 Introduction and Motivation 2 Implicit Causal Models 3 Implicit Causal Models with Latent Confounders 4 Likelihood-free Variational Inference 5 Empirical Study 6 Conclusion 7 Critique 8 References 9 Implicit causal model in Edward Introduc... |
Side of a square: \(a\)
Diagonal of a square: \(d\) Radius of the circumscribed circle: \(R\) Radius of the inscribed circle: \(r\)
Diagonal of a square: \(d\)
Radius of the circumscribed circle: \(R\)
Radius of the inscribed circle: \(r\)
Perimeter: \(P\)
Area: \(S\)
Area: \(S\)
A square is a regular quadrilateral. It... |
It isn't particularly clear to me what you mean by
I would like to understand how the parity-violated interaction between electron and proton can provide the photon with circular polarization in the $2s\rightarrow 1s$ transition with single photon emission.
and particularly what you really mean by "understand how ...".... |
Angles (arguments of functions): \(x,\) \(y\)
Trigonometric functions: \(\sin x,\) \(\cos x,\) \(\tan x,\) \(\cot x,\) \(\sec x,\) \(\csc x\)
Trigonometric functions: \(\sin x,\) \(\cos x,\) \(\tan x,\) \(\cot x,\) \(\sec x,\) \(\csc x\)
Hyperbolic functions: \(\sinh x,\) \(\cosh x,\) \(\tanh x,\) \(\coth x,\) \(\text{... |
In "Knots and Primes: An Introduction to Arithmetic Topology", the author uses the following proposition
Let $h: Y \to X$ be a covering. For any path $\gamma : [0,1] \to X$ and any $y \in h^{-1}(x) (x = \gamma(0))$, there exists a unique lift $\hat{\gamma} : [0,1] \to Y$ of $\gamma$ with $\hat{\gamma}(0) = y$. Furtherm... |
I have calculated the exact time evolution of a simple 1-D qubit lattice (2008 paper) and this is what I've found for $\rho(t)$ containing one excitation of 2 qubit site $(|1\rangle,|2\rangle)$ + 1 sink $(|3\rangle)$ + a vacuum state $(|0\rangle)$:
We can observe that in beginning the excitation starts in site $1$, hop... |
stat946w18/Implicit Causal Models for Genome-wide Association Studies Contents 1 Introduction and Motivation 2 Implicit Causal Models 3 Implicit Causal Models with Latent Confounders 4 Likelihood-free Variational Inference 5 Empirical Study 6 Conclusion 7 Critique 8 References 9 Implicit causal model in Edward Introduc... |
Hledat
Zobrazují se záznamy 1-10 z 16
Asymptotic convergence of the solutions of a dynamic equation on discrete time scales
(Hindawi, 2012-01-03)
It is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main a... |
EViews 10 New Econometrics and Statistics: Estimation
EViews 9 introduced Threshold Regression (TR) and Threshold Autoregression (TAR) models, and EViews 10 expands up these model by adding Smooth Threshold Regression and Smooth Threshold Autoregression as options.
In STR models the regime switching that occurs when an... |
Classification of Elements and Periodicity in Properties Atomic Radii, Ionic Radii, Ionization Energy, Electron affinity, Electronegativity Periodicity and Properties :
Repetition of similar properties at regular intervals
→ IA, II A, 0 → 2, 8, 8, 18, 18, 32 → III A - VI A → 8, 18, 18, 32 Atomic Radius Ionization poten... |
I generally agree with @dm63's answer: A convex (concave) smile around the forward usually indicates and leptokurtic (platykurtic) implied risk-neutral probability density. Both situations can or cannot admit arbitrage. I provide you with two counterexamples to your statements.A volatility smile that is concave around ... |
For some odd reason, Django REST framework doesn't include any support for write-only fields. There's support for read-only fields, but not write-only. An example use case is for an API call that changes the user's password. You want to verify that their current password is correct as well. Searching online gives a lot... |
This is merely a reformulation of Abdelmalek Abdesselam's answer, in a somewhat different language and with different references. It should be a comment to that answer, but it is unfortunately too long. Long story short: see Karlin,
Total positivity, formula (2.10) in Section 1.2, with $u(t) = t$ and $\sigma(dt) = \mat... |
Answer
The required solution of probability is, $0$
Work Step by Step
We know that when the die is rolled then the sample space of equally likely outcomes given below is $ S=\left\{ 1,2,3,4,5,6 \right\}$ As there are six outcomes in the sample space, thus, $ n\left( S \right)=6$ Also, the event of getting a number grea... |
Chapters
Chapter 2: Relations
Chapter 3: Functions
Chapter 4: Measurement of Angles
Chapter 5: Trigonometric Functions
Chapter 6: Graphs of Trigonometric Functions
Chapter 7: Values of Trigonometric function at sum or difference of angles
Chapter 8: Transformation formulae
Chapter 9: Values of Trigonometric function at... |
Learning Objectives
Use the work-energy theorem to analyze rotation to find the work done on a system when it is rotated about a fixed axis for a finite angular displacement Solve for the angular velocity of a rotating rigid body using the work-energy theorem Find the power delivered to a rotating rigid body given the ... |
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2,227 1,257 Summary Wigner's friend seems to lead to certainty in two complimentary contexts Summary:Wigner's friend seems to lead to certainty in two complimentary contexts
This is probably pretty dumb, but I was just thinking about Wigner's friend and wondering about the two contexts invol... |
what happens when a plane polarized light is incident on a half wave plate? i know what happens in the case of a quarter wave plate but there is no information available about the half wave plate. Please help
Half wave plates have two principal axes. If the light is linearly polarized and the polarization direction coi... |
The general trick to calculating such odds is that the probability of rolling a result that matches some criterion equals the number of possible matching rolls, divided by the total number of possible rolls.
(By "roll", here, we mean a sequence of numbers obtained by rolling a certain number (e.g. 6) of a certain kind ... |
Here's an answer from a non-particle physicist to complement what (former) professional particle physicist Anna V has written.
"Real particles" enter and leave Feynman diagrams. Therefore, in principle, they can be detected in an experiment - they are the "terminals" of a Feynman diagram: ports through which we can "se... |
Radius of the base of a circular cone: \(R\)
Generatrix of a cone: \(m\) Height of cone: \(H\) Volume: \(V\)
Generatrix of a cone: \(m\)
Height of cone: \(H\)
Volume: \(V\)
Area of the base: \({S_B}\)
Lateral surface area: \({S_L}\) Total surface area: \(S\)
Lateral surface area: \({S_L}\)
Total surface area: \(S\)
A c... |
How can I find the general formula for the following real sequence $$(x_n)_{n \ge0}=(1,0,-1,0,\frac{1}{2},0,\frac{-1}{6},0,\frac{1}{24},0,\frac{-1}{120},\ldots)$$ I just know $x_0$ to $x_{10}$ so how can I find the general formula for this real sequence?
To get it into one equation, you can use that $$ \cos{\tfrac{1}{2... |
In the paper "Liquidity Risk and Risk Measure Computation" authors describe a linear supply curve model for liquidity risks in presence of market impact, i.e. impact-affected asset price $S(t,x)$ is proportional to unaffceted price $S(t,0)$ and to traded volume $x$ with some coefficient $\alpha$.
Under the diffusion (w... |
Fund managers are acting in a highly stochastic environment. What methods do you know to systematically separate skillful fund managers from those that were just lucky?
Every idea, reference, paper is welcome! Thank you!
Quantitative Finance Stack Exchange is a question and answer site for finance professionals and aca... |
I want to know the hybridization of the central atom in $\ce{(SiH3)3N}$.
I think it should be $\mathrm{sp^3}$, because $\ce{N}$ is attached to three silicon atoms and one lone pair. But actually it is supposedly $\mathrm{sp^2}$.
How is this so?
Chemistry Stack Exchange is a question and answer site for scientists, acad... |
I have an optimization problem with the following objective function.
$\max_{a^{l}_{n,k} b^l_{n,k}} \sum_{n=1}^{\overline{N_l}} b_{k,n} \frac{C_1}{C_2} \log_2 \bigg(1 +\frac{a_{k,n} h_{k,n}} {b_{n,k} c_3}\bigg) $
The constraints are linear.
The objective is concave, if I keep all the constants as 1, for simplicity the ... |
I have the following problem:
Input: two sets of intervals $S$ and $T$ (all endpoints are integers).
Query: is there a monotone bijection $f:S \to T$?
The bijection is monotone w.r.t. the set inclusion order on $S$ and $T$. $$\forall X\subseteq Y \in S, \ f(X) \subseteq f(Y)$$
[I am not requiring the reverse condition ... |
If we define
in the following manner: Transpassing
$\phi$ is
Transpassing $\iff$ $\exists x,z (x=\{y \in V | \phi(y)\} \wedge \phi(z) \wedge x \subset TC(z))$
Where clearly $\phi$ is a predicate symbol, $TC(x)$ stands for "the transitive closure class of x" defined in a customary manner as the minimal transitive superc... |
Theorem. $\int_0^\infty \sin x \phantom. dx/x = \pi/2$.
Poof. For $x>0$ write $1/x = \int_0^\infty e^{-xt} \phantom. dt$,and deduce that $\int_0^\infty \sin x \phantom. dx/x$ is$$\int_0^\infty \sin x \int_0^\infty e^{-xt} \phantom. dt \phantom. dx= \int_0^\infty \left( \int_0^\infty e^{-tx} \sin x \phantom. dx \right)\... |
Rajeeva L Karandikar
Articles written in Proceedings – Mathematical Sciences
Volume 124 Issue 3 August 2014 pp 457-469
We give a construction of an explicit mapping
$$\Psi: D([0,\infty),\mathbb{R})\to D([0,\infty),\mathbb{R}),$$
where $D([0,\infty), \mathbb{R})$ denotes the class of real valued r.c.l.l. functions on $[... |
Determine Whether a Set of Functions $f(x)$ such that $f(x)=f(1-x)$ is a Subspace Problem 285
Let $V$ be the vector space over $\R$ of all real valued function on the interval $[0, 1]$ and let
\[W=\{ f(x)\in V \mid f(x)=f(1-x) \text{ for } x\in [0,1]\}\] be a subset of $V$. Determine whether the subset $W$ is a subspac... |
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