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An X-ray plot illustrates the geometry of a complex analytic function f(z). Thick black curves show where Im(f(z))=0(the function is pure real). Thick red curves show where Re(f(z))=0(the function is pure imaginary). Points where black and red curves intersect are zeros or poles. Magnitude level curves ∣f(z)∣=Care rend... |
Get your free trial content now! Video Transcript Transcript Solving Proportions
Andretti the Yeti is worried. Why's he worried? Well, in two hours, he has a date with Nettie the Bodacious Yeti and it's just started to snow.
Snow? What's a little snow when you have a date with the love of your life? Well, Rule #5 of th... |
Food Chain THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES CHAOTIC TURBULENCE (+controls)
The existing global capitalistic growth paradigm is totally flawed
Growth in supply and productivity is a summation of variables as is demand ... when the link between them is broken by catastrophic failure in a component the cr... |
Let $P$ be the prime numbers in $\Bbb{Z}^+$. Define a topology on $\Bbb{Z}^+$ by taking as basis sets of the form $P\cdot P \cdot \ldots \cdot P \ (k \text{ times})$, where the $\cdot$ is semigroup multiplication between each two pair of elements, $k \geq 0$. Then $P^k \cap P^l = \varnothing$ vacuosly. What's it's name... |
As preparation for writing the original grant proposal, Tony Paxton and Andrew Horsfield put together some notes on their understanding of the definition of terms used in electrochemistry, and some of the understanding of physics of corrosion.
Mnemonics and definitions OILRIG: Oxidation Is Loss Reduction Is Gain
At an
... |
Research Open Access Published: Existence results for a kind of fourth-order impulsive integral boundary value problems Boundary Value Problems volume 2016, Article number: 81 (2016) Article metrics
853 Accesses
2 Citations
Abstract
In this paper we investigate the existence of solutions to a kind of fourth-order impul... |
Using a HOL-like approach as described in the link given by DanielV, subsets given by the axiom of specification are just modeled as predicates. Your whole expression becomes $\forall(\lambda x\!:\!\mathbb{N}.S(f(x)))$ (or more compactly: $\forall (S\circ f)$) where $S\equiv\lambda n\!:\!\mathbb{N}.(2|n)$. You can look... |
How do you obtain the volume of a sphere? You just calculate a volume integral on the sphere
$$V=\int_{\mathbb{R}^3}\chi(x,y,z)\;d\mathbf{x}$$
where $\chi$ is a function that equals $1$ inside the sphere and $0$ outside. Of course is comfortable to switch to spherical coordinates. The determinat of the Jacobian is $|J|... |
In A.Zee's "QFT in a nutshell"book Page 324, after he wrote down the general Lagrangian, he said "in previous chapter, we learned that by introducing a Chern-Simons gauge field we can transform $\psi$ to a scalar field" However, I didn't found any clarification about this argument in previous chapter. Any comment or re... |
The precise theorem is the following, cf. e.g. Ref. 1.
Theorem 1: Given a non-positive (=attractive) potential $V\leq 0$ with negative spatial integral
$$ v~:=~\int_{\mathbb{R}^n}\! d^n r~V({\bf r}) ~<~0 ,\tag{1} $$
then there exists a bound state$^1$ with energy $E<0$ for the Hamiltonian
$$ H~=~K+V, \qquad K~=~ -\frac... |
In both cases, there appears to be a confusion of terminology between common and technical uses.
We commonly use methane and propane for cooking (and home heating), but not ethane. I would expect ethane to be suitable for this, being in between the two, but I've never heard of anyone using it for this purpose. Why is t... |
I'm in the early stages of developing a swaption pricing model.
Suppose $t_1$ is the tenor of the swap rate in years, $F$ is the forward rate of the underlying swap, $X$ is the strke rate of the swaption, $r$ is the risk-free rate, $T$ is the swaption expiration (term) in years, $\sigma$ is the volatility of the forwar... |
Let $M^n$ be a smooth closed embedded hupersurface in $\mathbb R^{n+1}$. Denote by $D$ the bounded connected component of $\mathbb R^{n+1}\backslash M$. We assume that $\mathbb R^{n+1}\backslash D$ is simply connected. Let $B=B_R^n$ be the ball centered at the origin with radius $R>>1$ whose boundary is denoted by $S$.... |
This could be a math question. But if you think about the physical aspect of the question, it is interesting to look at the Schrodinger equation:
For free fields (without potential), you have (in units $\bar h = m = \omega = 1$):
$$i\frac{\partial \Psi( k, t)}{\partial t} = \frac{ k^2}{2}\Psi( k, t)$$ or
$$ E \tilde \P... |
Article Об одном подходе к преобразованию периодических последовательностей
In this article we study an arithmetical properties of irrationalities $\alpha=\sum_{n=0}^\infty \frac{c_n}{n!} in case when sequence $\{c_n\} $ is a pure peridiodical. As an application of prooved theorems the method for generation nonperiodic... |
Transforming Simple Repeating Decimals to Fractions and Vice Versa 03:41 minutes Get your free trial content now! Video Transcript Transcript Transforming Simple Repeating Decimals to Fractions and Vice Versa
The brothers Zooey, Louie and Phooey formed a band called the Musical Triplets and entered their school’s annua... |
<< ToK
ToK Warszawa meeting - Rough Notes Thu 15 Feb 2007 These are just rough notes - feel free to correct them, add links, etc. Hector Rubinstein - stockholm - magnetic fields
Magnetic fields on kpc scales exist. They may exist on intergalacticscales - it's unclear whether or not their origin is primordial.
CMB - Pla... |
为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法，我们为您准备了出自英文原文的大量英语例句，供您参考。
If is a ?2-grading of a simple Lie algebra, we explicitly describe a-module Spin0 () such that the exterior algebra of is the tensor square of this module times some power of 2.
The operation adj on matrices arises from the (n - 1)st exterior power functor on mo... |
Result Number Material Type Add to My Shelf Action Record Details and Options 1
Material Type:Article
Study of \(D^{**}\) production and light hadronic states in the \(\bar{B}^0 \to D^{*+} \omega \pi^-\) decayarXiv.org, Jul 27, 2015 [Peer Reviewed Journal] 2
Material Type:Article
arXiv.org, Dec 9, 2015 [Peer Reviewed J... |
The volatiltiy surface is just a representation of European option prices as a function of strike and maturity in a different "unit" - namely implied volatility (while the term implied volatility has to be made precise by the model used to convert prices (quotes) into implied volatilities - for example: we may consider... |
Averages Questions for CAT Set-2 PDF
Download important CAT Averages Questions Set-2 with Solutions PDF based on previously asked questions in CAT exam. Practice Averages Questions Set-2 with Solutions for CAT exam.
Question 1: The average marks of a student in 10 papers are 80. If the highest and the lowest scores are... |
743 4
This is referring to problem 2.25 in Griffiths. Find the potential at a distance 'z' above the midpoint between two equal charges, q, a distance 'd' apart. Compute the electric field in each case.
In the first part the charges are equal. The electric potential is: [tex]V = \frac{1}{4\pi \epsilon_0} \frac{2q}{{\sq... |
Research Open Access Published: Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result Boundary Value Problems volume 2016, Article number: 133 (2016) Article metrics
672 Accesses
Abstract
We consider a fourth order Hamiltonian system with some singular nonlinear term and multiplicity... |
Let $a_t$ and $b_t$ be white noise processes. Can we say $c_t=a_t+b_t$ is necessarily a white noise process?
No, you need more (at least under Hayashi's definition of white noise). For example, the sum of two
independent white noise processes is white noise. Why is $a_t$ and $b_t$ white noise insufficient for $a_t+b_t$... |
The basic point is the following:
If an element commutes with more than half of the other elements, it already commutes with all elements.
This is basically Lagrange's theorem: Let $C_R(x) = \{r \in R | rx = xr\}$ be the centralizer of $x$. We assume $|C_R(x)| > \frac{1}{2} |R|$. $C_R(x)$ is a subgroup of $R$ and thus ... |
I am reading a book "The concepts and practice of mathematical finance" by Mark Joshi. In Chapter 18 he discusses the shapes and dynamics of smiles under different models. I do not understand what is meant by "smile implied by a model".
As I understand it, given a vanilla option with a fixed maturity $T$ and strike $K$... |
Consider a coupon bond, starting at $T_{0}$ , with face value $K$, coupon payments at $T_1, . . . , T_n$ and a fixed coupon rate $r$. Determine the coupon rate $r$, such that the price of the bond, at $T_0$, equals its face value.
For simplicity,we let \begin{align} &\delta=\frac{T_n-T_0}{n}\\ &T_i=T_0+i\delta, \end{al... |
Research Open Access Published: On a parabolic equation related to the p-Laplacian Boundary Value Problems volume 2016, Article number: 78 (2016) Article metrics
947 Accesses
13 Citations
Abstract
Consider a parabolic equation related to the
p-Laplacian. If the diffusion coefficient of the equation is degenerate on the... |
90 6 Homework Statement The picture shows a graph of amplitude (measured in degrees) vs time (measured in seconds) for a pendulum disturbed by different accelerations. 1) Draw the free body diagram of the pendulum in a situtation where this could happen. 2) Find the acceleration for the different periods. 3) When and i... |
People arrive to a bank according to a possion process $N(t)$ with $\lambda = 1$ client/minute. Each client makes a deposit $Y \sim \mathrm{Unif}\{1,2\}$ in thousand dollars. Calculate the probability that at time $t=5$ there will be 6 thousand dollars.
The way I've trying to solve this is using compound poisson proces... |
How can I quantitatively and qualitatively understand the fact that there is a relevence between the existence of anti-particles and the causality?
This is a consequence of the fact that there is no positive frequency function which is zero outside the light cone. If you have a particle in relativity, its dynamics requ... |
A fraction represents a part of whole. For example, it tells how many slices of a pizza left or eaten with respect to the whole pizza, like, one-half, three-quarters.
Parts of a Fraction:
Every fraction is made up of two terms, namely
Numerator, which is the top part of a fraction. Denominator, which is the bottom part... |
In many problems of enumerative combinatorics, one finds the solution formula that involve complex roots of unity, $\cos(\frac{n \pi }{ k})$ and $\sin(\frac{n \pi }{k})$. Can someone highlight any combinatorial interpretation of such expressions. I haven't find any book or paper highlighting this except some rudiments ... |
I want to calculate the electromagnetic tensor components in cylindrical coordinates. Suppose I did not know that those components are given in Cartesian coordinates by $$(F^{\mu \nu})= \begin{pmatrix} 0 & E_x & E_y & E_z \\ -E_x & 0 & B_z & -B_y \\ -E_y & -B_z & 0 & B_x \\ -E_z & B_y & -B_x & 0 \end{pmatrix}.$$
I want... |
Let $Z = -Y$ so that $X-Y = X+Z$. Then, $$\operatorname{var}(Z)= (-1)^2\operatorname{var}(Y) = \operatorname{var}(Y)$$ and $$\operatorname{cov}(X,Z) = \operatorname{cov}(X,-Y) = -\operatorname{cov}(X,Y)$$so that \begin{align}\operatorname{var}(X-Y) &= \operatorname{var}(X+Z)\\&= \operatorname{var}(X)+\operatorname{var}... |
Difference between revisions of "Probability Seminar"
(→Thursday, May 7, Jessica Lin, UW-Madison)
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== Thursday, May 7, [http://www.math.wisc.edu/~jessica/ Jessica Lin], [http://www.math.wisc.edu/ UW-Madison] ==
== Thursday, May 7, [http://www.math.wisc.edu/~jessica/ Jessica Lin], [http://www.math.wis... |
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research talks;Partial Differential Equations;Mathematical Physics
In the fifties John Nash astonished the geometers with his celebrated isometric embedding theorems. A folkloristic explanation of his first theorem is that you should be able to put any... |
Get your free trial content now! Video Transcript Transcript Function Operations
Zooming along on his flying carpet, Jaanav heads for home. Oh geez, he’s caught in a sandstorm, again. As he’s covered with sand. He has sand in his hair, sand in his ears, it’s everywhere!
Back at home, he thinks, there must be a solution... |
On the $ L^p $ regularity of solutions to the generalized Hunter-Saxton system
1.
Department of Mathematics, University of Maine, Orono, ME 04469, USA
2.
Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
3.
Department of Mathematics, Cornell University, Ithaca, NY 14850, USA
4.
Department of Math... |
Parentheses in mathematical expressions show what is evaluated first. In some cases, the sequence of evaluation really matters, affecting the final result of expression. In other cases, a sequence doesn’t change the result. For the latter, parentheses can be used too, as example for convenience, for better explanation,... |
Advection in log coordinate
\((1) ~ ~ ~ \dot F(r,t)= - V'(r) F(r,t) - V(r) F'(r,t)\)
where \(r\) has sense of the independent coordinate, for example, size of particles;
\(t\) has sense of time;
\(V(r)\) determines the velocity, speed, rate of advection at coordinate \(r\) and is assumed to be a given function,
\(F(r,t... |
In the random-effects model of meta-analysis a canonical representation of the restricted likelihood function is obtained. This representation relates the mean effect and the heterogeneity variance estimation problems. An explicit form of the variance of weighted means statistics determined by means of a quadratic form... |
Suppose $\lambda$ is a successor of a singular cardinal. We will say $\lambda$
fake if there is a transitive set $M$ such that $\lambda \subseteq M$ satisfying $\mathrm{ZFC}^-$ (ZFC without powerset) in which there is a largest $M$-cardinal $\kappa < \lambda$ which is regular in $M$. We will say $\lambda$ is weak if we... |
For $x \in \mathbb{Z}_{200} $solve this modular equation $$(x-1)(x-2) \equiv 0 \mod 200$$ I don't know how to deal with that $x$ occurs in second power, I mean $x^2$
I am asking for advice.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields... |
This question already has an answer here:
Section numbering without numbers 3 answers
Here is my code:
\documentclass[letterpaper,10pt,fleqn]{article}\setlength{\mathindent}{1cm} \usepackage{geometry}\geometry{textheight=9in, textwidth=6.5in}\usepackage{amssymb} \usepackage{amsmath} \numberwithin{equation}{section}\par... |
Get your free trial content now! Video Transcript Transcript Evaluating Expressions
Let me tell you a story about
evaluating expressions… Once upon a time "Once upon a time, there lived a girl in a towerShe was there every day, hour after hour.""Her name was Rap-Punzel,a mischievious damsel,whose hair was a handful" "T... |
By Maschke's Theorem, every direct product of representations is decomposable into a direct sum of representations, that is, the function you are integrating can be rewritten as a sum of functions with symmetry properties equal to specific irreducible representations.
As you note, integrating an odd function (which has... |
I came across this question while thinking about the question whether the integrability is a local property. I first thought that the MSE question What's the definition of a "local property"? addresses this issue, but this question only answers what a local property
for a topological space and not for a function is. Th... |
Neutrinos are light, uncharged leptons. The neutrino tag should be applied to question relating to neutrino properties or interactions involving neutrinos.
Neutrinos are light, uncharged leptons. The neutrino tag should be applied to question relating to neutrino properties or interactions involving neutrinos.
Neutrino... |
Here's a very frustrating question that I have been stuck on for some time. I believe that my question could fit in a general framework of what happens when you restrict $L^2$-cohomology classes on a Shimura variety to a sub-Shimura variety. However I formulate the question for the special case I am interested in.
Let ... |
How does TeX decide how to size a middle delimiter? When I want to show evaluation of limits of an integral, I would type
$$\int_1^2 x\; dx=\frac{x^2}{2}|_1^2=4-\frac{1}{2}=\frac{7}{2}.$$ How do I get the vertical bar showing the limits big enough? I have found
\bigg and
\Big but I would like it to autosize like
\left.... |
I have the following problem : I'm calculating the sample covariance matrix in the frequency domain ( $y_{k}$ is the FFT of a time domain $k_{th}$ symbol vector signal , basically a simulated received signal) as follows:
$$\mathbf{R}=\frac{1}{N_{f}}\sum_{k=0}^{N_{f}-1}y_{k}y_{k}^{H}$$
Well , the next step on my algorit... |
This tutorial demonstrates the usage of the Purpose:
package, which allows for the determination of optical coefficients of layered systems. We will demonstrate the functionality of the package on the example of bithiophene thin films.
LayerOptics
0. How to get the source code
Before starting, we need to download the p... |
The term "imaginary" is somewhat disingenuous. It's a real concept, with real (at least theoretical) application, just like all the "real" numbers.
Think back to that algebra class. You were asked to solve a polynomial equation; that is, find all the values of X for which the entire equation evaluates to zero. You lear... |
As you’ve observed, the projected line segment is not symmetric about the view line to the circle’s center—the center shifts. Another reason that you might be having some trouble working this out is that the apparent width of the ellipse also depends on the visual angle subtended by the circle, which varies with both t... |
One disadvantage of the fact that you have posted 5 identical answers (1, 2, 3, 4, 5) is that if other users have some comments about the website you created, they will post them in all these place. If you have some place online where you would like to receive feedback, you should probably also add link to that. — Mart... |
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... |
February 10th, 2018, 09:57 PM
# 1
Newbie
Joined: Oct 2017
From: sweden
Posts: 24
Thanks: 0
Problems on Surfaces
I have seeked in other forums as well, but I get no replies, and I really need some solutions to these kind of problems as the examples in my book are just not good enough to help me further solve problems at... |
You can use a matrix type seperability condition as well. This is similar but the equation has more flexibiliity. The rates are then markovian in some combinations of the Brownian motion. See More Mathematical Finance for details.
The following paper, Interpolation Schemes in the Displaced-Diffusion LIBOR Market Model ... |
Mathematics seems to be a nightmare for majority of students, as they lack confidence and practice of the subject. We at BYJU’S provide students of class 11th with important mark-wise questions for practice. Practicing these question would definitely provide you an idea about the pattern of examination, and questions t... |
If a critical point is equal to zero, it is called a stationary point (where the slope of the original graph is zero). If it does not exist, this can correspond to a discontinuity in the original graph or a vertical slope.
For functions of a single variable, critical points satisfy
$ \dfrac{df}{dx} = 0. $
For functions... |
Sep 27th 2019, 08:31 AM
# 5
Senior Member
Join Date: Oct 2017
Location: Glasgow
Posts: 474
Judging from your answer... it seems that the weight and the y-component of the applied force are in the same direction; vertically downwards.
I think your answer is wrong because you've put some negative signs on your components... |
Extraordinary claims require extraordinary proofs which really is the reason why this sorts of discussion is important. Similarly, sometimes, you are so blinded to some sorts of a truth and are faced with something so different that you can misread entirely what is being said. If you read this morning's entry, you migh... |
With all of the other vote-controlled mechanisms on SE, you have every bit of information you need to vote. For example, wrt closing and reopening, you can see the post and all the comments. You're not making a blind decision.In this case, the suspension details (the warnings, the exact offence, etc) are private and on... |
Research Open Access Published: Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations Boundary Value Problems volume 2015, Article number: 118 (2015) Article metrics
1040 Accesses
2 Citations
Abstract
In this short article, the initial value problem for the 3D magneto-micropol... |
First, I think you made a mistake in your computations above. Where you wrote $(30-20)$, I think you really meant $(30-(-20))$ i.e. $30+20$, yielding a gamma P&L of $1000$ instead of $200$. Your total P&L over $[90,170]$ would then be $110$ instead of $-690$. It doesn't matter for my answer either way, just thought I'd... |
This example uses
systune to generate smooth gain schedules for a three-loop autopilot.
This example uses a three-degree-of-freedom model of the pitch axis dynamics of an airframe. The states are the Earth coordinates , the body coordinates , the pitch angle , and the pitch rate . Figure 1 summarizes the relationship b... |
Here is a hopefully complete answer. Basically, this is just an elementary proof of the implicit function theorem for functions of 2 variables.
If $h$ is constant, you can take as $g$ any injective $\mathcal C^1$ map from $(0,1)$ into $\mathbb R^2$; for example $g(t)=(t,0)$.
Now, assume that $h$ is not constant. Then t... |
Maybe it would be helpful to think about the analogous situation in ordinary category theory. Suppose you are given a category $\mathcal{E}$ and a functor $F$ from$\mathcal{E}$ to the category of sets. There are several ways to encode this functor:
$(a)$: Via the Grothendieck construction, $F$ determines a category $\m... |
While propagating the satellite motion faced the strange effect. Without the atmosphere results (
x,y,z coordinates in meters and
vx,vy,vz velocities in meters per second) are
[3.30971e5, -6.55755e6, 2.57717e6, -1261.46, -2762.24, -6871.88] but including the atmosphere drag effect i obtain
[-2.90003e5, -7.04404e6, -8.9... |
Short Answer
The reason is that the expected decrease in the Gini index for splitting with a categorical variable with $L \geq 3$ levels grows in $L$. As a result, the algorithm is biased to choose a variable with a high number of levels - this "maximises" the information gain.
In the case of a binary classification pr... |
Operations with Numbers in Scientific Notation 04:55 minutes Get your free trial content now! Video Transcript Transcript Operations with Numbers in Scientific Notation
Mr. and Mrs. Fox, who live in a village, need a new home. So they hire a real estate agent to help them. The agent only has listings of foxholes that a... |
This question already has an answer here:
I wish to use protrusion and expansion from microtype as I like the look you get with them. I use amsthm and typeset theorems in italic as usual (with
\theoremstyle{plain}). With microtype enabled, LaTeX fails to break some lines where the last item on the line is something in ... |
Imagine empty infinite universe with just a single resting electron - let's ask the question about configuration of electric field in such empty universe.
The standard answer would be $E\propto 1/r^2$.
However, if calculating energy $(\propto E^2)$ of such electric field, due to singularity in $r=0$ we get
$$ \int_{0}^... |
Markdown help Linebreaks
End a line with two spaces to add a
<br/> linebreak:
How do I love thee?
Let me count the ways
Italics and Bold *This is italicized*, and so is _this_. **This is bold**, and so is __this__. Use ***italics and bold together*** if you ___have to___.
You can also select text and press
CTRL+
I or
C... |
Contact InfoPure Mathematics
University of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484 Fax: 519 725 0160 Email: puremath@uwaterloo.ca Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"The valuative tree at infinity"... |
I want to show: Let $N\geq 2$ and $2< q <2^\ast$. Then the embedding \begin{align} H^1_{\text{rad}}(\mathbb{R}^N)\hookrightarrow L^q(\mathbb{R}^N) \end{align} is compact.
I was able to show that \begin{align}|u(r)|\leq C R^{\frac{-(N-1)}{2}} \|\nabla u\|_2^{\frac{1}{2}} \|u\|_2^{\frac{1}{2}}\leq \hat C R^{\frac{-(N-1)}... |
Consider the LTI system with frequency response $$H(e^{j\omega}) = \frac{1-e^{-j2\omega}}{1+\frac{1}{2}e^{-j4 \omega}}, -\pi < \omega < \pi$$ Determine the output $y[n]$ for all $n$ if the input $x[n]$ for all $n$ is $$x[n] = \sin \left(\frac{\pi n}{4}\right)$$
My attempt: $x[n]$ is an eigenfunction of the LTI system, ... |
We know that a lightning rod or lightning conductor is a metal rod or metallic object mounted on top of an elevated structure and, if we look closely, most of them have a sharp point at the top. What is the reason for this sharp point?
Suppose there is a charged cloud floating over your conductor. Then making your ligh... |
Consider the following SDE $dV_t = rV_tdt +\sigma V_t dW_t + dJ_t$
where $J_t$ is a Compound poisson process with log-Normal jump size $Y_i$.
How am I supposed to calibrate this model to CDS spreads? The problem of course is there doesn't exist an analytical formula for the survival probability function...
[EDIT] Well,... |
Inverted logic can be unnatural. Let's move over to quantified logic:
$$\forall x:({duck}(x)\land {quacks}(x))\lor ({dog}(x)\land {barks}(x))\lor(\lnot {duck}(x)\land\lnot{dog}(x))$$
"Everything is either a duck (and quacks), or a dog (and barks) or else it is neither duck nor dog."
If write down the dual, and then use... |
I ask because those functions are on the TI BA II Plus financial calculator.
One can use the Karhunen–Loève expansion to approximate a trajectory of a Wiener Process, which can be used to model the evolvement of returns in time. (http://en.wikipedia.org/wiki/Karhunen%E2%80%93Lo%C3%A8ve_theorem#The_Wiener_process)
Thoug... |
Nonlinear Schrödinger equations on a finite interval with point dissipation
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA USA
$ iu_t+u_{xx}+f(u) = 0 , \;\;\;\; u ( x, 0 ) = w_0 (x) $
$ x\in [0, L] $
$ L^2 $
$ u(0, t) = \beta u(L, t), \beta u_x(0, t)-u_x(L, t) = i\alpha u... |
The language of inference rules are much more general than what is usually given in Logic. Indeed you can look at systems with rules of the shape
$$ \frac{\Theta_1\ldots \Theta_n}{\Theta}$$
Where the $\Theta_i, \Theta$ are some kind of statement and ask: what are all the possible $\Theta$ I can get by repeated applicat... |
Science:MER/Final answers
A script automatically extracts the final answer from the solution. For this to work well, please follow this guide when writing your solution:
Main Assumption: The final answer can be found in the last paragraph and is is either part of a sentence the last term in an align-environment or a pi... |
Research Open Access Published: Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms Boundary Value Problems volume 2018, Article number: 35 (2018) Article metrics
677 Accesses
1 Citations
Abstract
This work is concerned with the Dirichlet initi... |
Let $a \in \Bbb{R}$. Let $\Bbb{Z}$ act on $S^1$ via $(n,z) \mapsto ze^{2 \pi i \cdot an}$. Claim: The is action is not free if and only if $a \Bbb{Q}$. Here's an attempt at the forward direction: If the action is not free, there is some nonzero $n$ and $z \in S^1$ such that $ze^{2 \pi i \cdot an} = 1$. Note $z = e^{2 \... |
That $\ a,b\mid m\,\Rightarrow\,{\rm lcm}(a,b)\mid m\ $ may be
conceptually proved by Euclidean descent as below.
The set $M$ of all positive common multiples of $\,a,b\,$ is
closed under positive subtraction, i.e. $\,m> n\in M$ $\Rightarrow$ $\,a,b\mid m,n\,\Rightarrow\, a,b\mid m\!-\!n\,\Rightarrow\,m\!-\!n\in M.\,$ ... |
Let $(M^{2n},\omega)$ be a symplectic manifold with an integral symplectic form $\omega$. Due to the work of M.Gromov and D.Tischler (M.Gromov "A topological technique for the construction of solutions of differential equations and inequalities", D.Tischler "Closed 2-forms and an embedding theorem for symplectic manifo... |
Bulletin of the American Physical Society APS April Meeting 2010 Volume 55, Number 1 Saturday–Tuesday, February 13–16, 2010; Washington, DC
Session G7: Instrumentation for Relativistic Heavy Ion Physics Hide Abstracts Sponsoring Units: DNP
Chair: J.H. Lee, Brookhaven National Laboratory
Room:
Delaware A
Sunday, Februar... |
Difference between revisions of "Geometry and Topology Seminar 2016-2017"
(Created page with "== Fall 2016 == {| cellpadding="8" !align="left" | date !align="left" | speaker !align="left" | title !align="left" | host(s) |- |September 9 | [http://www.math.wisc.edu/~bwa...")
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One disadvantage of the fact that you have posted 5 identical answers (1, 2, 3, 4, 5) is that if other users have some comments about the website you created, they will post them in all these place. If you have some place online where you would like to receive feedback, you should probably also add link to that. — Mart... |
To my way of thinking, the other answers are missing an importantelement, a necessary feature for a mathematical tool or method tobe called "trick."
Namely, in order to be called a "trick," a method or techniquemust involve artifice or misdirection of some kind. When we treat a mathematicalobject as something that it i... |
I have a noisy temperature (T) vs. time (t) measurement and I want to calculate dT/dt. If I approximate $dT/dt = \Delta T/\Delta t$ then the noise in the derivative gets too high and the derivative becomes useless. So I fit a smoothing spline (smoothing parameter say 'p') to the measured data and get $dT/dt$ by piecewi... |
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Can anyone show me how to prove exactly that the composition of 2 function is again a function, by using the following 3 formulas?
Suppose f: A -> B and g: B -> C are functions, then
(1)[tex]\forall \ a \ \epsilon \ A : \exists ! \ b \ \epsilon \ B : (a,b) \ \epsilon \ f[/tex] (2)[tex]\forall \ b \ \epsilon \ B : ... |
On the asymptotic character of a generalized rational difference equation
1.
Department of Mathematics, Indian Institute of Science, Bangalore, Karnataka, 560012, India
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Department of Mathematics, Maligram, Paschim Medinipur, 2421140, India
We investigate the global asymptotic stability of the solutions of $X_{n+1}=\... |
In this MathStackExchange post the question in the title was asked without much outcome, I feel.
Edit: As Douglas Zare kindly observes, there is one more answer in MathStackExchange now.
I am not used to basic Probability, and I am trying to prepare a class that I need to teach this year. I feel I am unable to motivate... |
Turbulent Boundary Layer Equations From Thermal-FluidsPedia
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To obtain the turbulent boundary layer governing equations, scale analysis can be performed to eqs. (
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To obtain the turbulent boundary layer governing equations, scale analysis can be perfor... |
This question has many parts, but I will try to address them all. One question you ask is why the kernel has dimensions of $\text{length}^{-d}$. Another question you asked is how the kernel can be interpreted as a probability amplitude. The third thing you asked for is a physical interpretation of the prefactor in the ... |
Learning how to tell if a function is surjective at a glance. There are a few linear transformations in quotes below that I tried to show (informally) are/n't surjective. Please, see if any of that makes sense.
$T: \mathbb R^2 \to \mathbb R^3 \text { given as } T \begin{pmatrix} x \\ y \\ \end{pmatrix} = \begin{pmatrix... |
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