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Research Open Access Published: A note on the boundary behavior for a modified Green function in the upper-half space Boundary Value Problems volume 2015, Article number: 114 (2015) Article metrics
823 Accesses
1 Citations
Abstract
Motivated by (Xu
et al. in Bound. Value Probl. 2013:262, 2013) and (Yang and Ren in Proc... |
On the complex plane $\mathbb C$ consider the half-open square $$\square=\{z\in\mathbb C:0\le\Re(z)<1,\;0\le\Im(z)<1\}.$$
Observe that for every $z\in \mathbb C$ and $p\in\{0,1,2,3\}$ the set $(z+i^p\cdot\square)$ is the shifted and rotated square $\square$ with a vertex at $z$.
Problem.Is it true that for any function... |
Could someone please help me translate what this is saying on page P15, section 4.2:
Specifically:
When the order rates are time-varying probabilities must be computed via Monte Carlo. A simple algorithm is as follows. There are six types of orders; buy/sell and market/limit/cancel. For each type of order there are mul... |
tf.contrib.layers.legacy_fully_connected(
x,
num_output_units,
activation_fn=None,
weight_init=initializers.xavier_initializer(),
bias_init=tf.zeros_initializer(),
name=None,
weight_collections=(ops.GraphKeys.WEIGHTS,),
bias_collections=(ops.GraphKeys.BIASES,),
output_collections=(ops.GraphKeys.ACTIVATIONS,),
trainable... |
I've been trying to get a grasp on some of the basics of interest rate modeling, and am looking to simulate rates using the 2 factor Hull White model, which I am aware offers a more realistic model of rates which allows for imperfect correlation between instantaneous forward rates.
I've found resources on the web which... |
584 0
Can someone please help me out with the following question?
Q. A simple harmonic oscillator, of mass m and natural frequency w_0, experiences an oscillating driving force f(t) = macos(wt). Therefore its equation of motion is:
[tex]\frac{{d^2 x}}{{dt^2 }} + \omega _0 ^2 x = a\cos \left( {\omega t} \right)[/tex]
Gi... |
I know, for various reason, some users preprocess their latex file using
Perl or
sed, say.
I'm considering doing this to, so I would like to seek your guidance, to smooth my entry in this area.
My use case is a simple macro expansion preprocessing
If $\ep$ is small... --> If $\epsilon$ is small...
So that a compilation... |
I am interested in calculating the transition dipole moment (TDM) from the information from two wavefunctions of different states. This is somewhat similar to calculating the molecular dipole moment which was previously answered here:
The information I have is the molecular orbital coefficients of alpha and beta from s... |
If the premises are inconsistent then they cannot all be true. So the statement "if all the premises are true, then the consequence is true" holds, since the premises are never all true.
On the syntactic side, the details depend on what deductive system we use, and there are many different possibilities even if we conf... |
I have a few problems that I'm trying to work through. Want to see if these few are correct.
$$3y'' + 4y' - 3y = 0$$
auxiliary equation is: $$3r^2 + 4r -3 = 0$$ where $a = 3$, $b = 4$, $c = -3$
can't really find roots by factoring so gonna use quadratic:
$$r = \frac{-4 \pm \sqrt{16 - 4(3)(-3)}}{6}$$
$$r = \frac{-4 \pm ... |
Let $G$ be a semisimple algebraic group over $\mathbb C$, $T$ be a maximal torus and $B$ be a Borel subgroup of $G$ containing $T$. Let $R^+$ be the set of positive roots with respect to $B$. Let $Q$ be a parabolic subgroup containing $B$ corresponding to a subset $\{\alpha_1, \alpha_2, \cdots ,\alpha_k \}$ of the set ... |
257 23 Homework Statement Cylinder length 1.2m, mass =0.1kg, radius 0.5cm is released from rest and roll down without slipping down 2 rails connected to the battery of 10V. Rails at angle of 40 degrees. B = 0.01T. The total resistance of rails and cylinder is 250 ohms. Calculate V after it has rolled down 0.45m Homewor... |
Siril processing tutorial Convert your images in the FITS format Siril uses (image import) Work on a sequence of converted images Pre-processing images Registration (Global star alignment) → Stacking Stacking
The final step to do with Siril is to stack the images. Go to the "stacking" tab, indicate if you want to stack... |
If a random variable is discrete, and we are interested in its quantile value, how to define a proper back testing procedure?
For example, the
underlying variable with a discrete value is
$$ d(\mbox{account}) = \mbox{PaymentDate} - \mbox{BillingDate} $$
the
observing variable:
$$ y = \mbox{percentile}(d, 95\%, \mbox{mo... |
It is well known that the problem concerning even perfect numbers is to prove or refute if there are infinitely many of them. Few weeks ago I wrote the following conjecture, where $\varphi(n)$ denotes the Euler's totient function, $\sigma(n)=\sum_{1\leq d\mid n}d$ the sum of divisors function and $$\operatorname{rad}(n... |
I am trying to determine the parameters for the Nelson Siegel Svensson model and am solving a Non-Linear Optimization problem to do this.
I am trying to solve:
$$ \min_\theta{\sum{(p_i - \hat p_i)^2}}. $$
where $p_i$ are the observed dirty prices of the bonds and $\hat p_i$ are the prices that have been calculated usin... |
If dispersion measures amount of variation, then the direction of variation is measured by skewness. The most commonly used measure of skewness is Karl Pearson's measure given by the symbol Skp. It is a relative measure of skewness.
${S_{KP} = \frac{Mean-Mode}{Standard Deviation}}$
When the distribution is symmetrical ... |
The orthogonal group, consisting of all proper and improper rotations, is generated by reflections. Every proper rotation is the composition of two reflections, a special case of the Cartan–Dieudonné theorem.
Yeah it does seem unreasonable to expect a finite presentation
Let (V, b) be an n-dimensional, non-degenerate s... |
The class $\Sigma^1$ of symbols on $\mathbb R^{2n}$ is made with $C^\infty$ functions $a$ of $X=(x,\xi)\in \mathbb R^n\times\mathbb R^n$ such that$$\vert\partial_X^\alpha a\vert\le C_\alpha(1+\vert X\vert)^{2-\vert \alpha\vert}.$$Assuming that $a\in\Sigma^1$ is real-valued principal type and denoting by $A$ its Weyl qu... |
Research Open Access Published: Infinitely many solutions for p-biharmonic equation with general potential and concave-convex nonlinearity in \(\mathbb{R}^{N}\) Boundary Value Problems volume 2016, Article number: 6 (2016) Article metrics
1358 Accesses
1 Citations
Abstract
In this paper, we study the existence of multi... |
I'm currently involved in a small (but quite time consuming) project where we are trying to get some decent bound for the number $N(P)$ of real zeroes of a random polynomial $P(x)=\sum_{k=0}^n\xi_k x^k$ where $\xi_k$ are real independent identically distributed random variables satisfying $P(\xi_k=0)=0$ (just to avoid ... |
First of all, even setting aside the issue with scalar automorphisms noted in comments, at the level of objects there is a "problem": the functor is
not essentially surjective for unipotent groups (by a consideration of Ext$^1$-groups with their natural structure of vector space over the ground field). Probably nobody ... |
In writing a paper I need to refer to the following type of objects, does anybody know if it has an established name?
What we are given
We have $M$ a smooth manifold and $\Sigma \subset M$ a codimension 1, smooth compact submanifold with boundary $\partial\Sigma$ and interior $\hat{\Sigma}$.
What I am interested in
An ... |
Lets deal with wave propagation in a cylindrical duct.
We ask the question: "what is the general form of a pressure wave which can propagate through the duct?" In answering this, we assume that the pressure wave in question has harmonic time dependence, i.e. $\exp(i\omega t)$ dependence.
The critical thing about soluti... |
I am given the temperature profile below and the two equations:
$$Q = (2\pi R_0)LU_0(T_{1\infty}-T_{2\infty})\tag1\label1$$ $$\frac{1}{U_0R_0} = \frac{1}{h_1R_0} +\frac{\ln(R_\mathrm a/R_0)}{k}+ \frac{1}{h_2R_\mathrm a}\tag2\label2$$
and I am asked
How does \eqref{1} simplify for the temperature profile shown, i.e. the... |
No, but I can tell you why it feels like you are double counting.
Consider a cash flow $\tilde{x}=\tilde{x}(t,\mu,\sigma^2)$ to be received in the future. While many cash flows lack a first moment and so no defined mean or variance, let us assume at least the second moment is defined to make the discussion simple. Impl... |
Difference between revisions of "Demand/Dynamic User Assignment"
(note on convergence and results)
(using vtypes from additional file)
(4 intermediate revisions by 2 users not shown) Line 1: Line 1: + + + + + + + +
The tool '' {{SUMO}}/tools/assign/duaIterate.py '' can be used to compute the (approximate) dynamic user ... |
I'm trying to make a figure using a font that has support for mathematics. The aim here is to enhance the visual appeal of the figure compared to what could be achieved with one of the plainer standard LaTeX fonts. After some experimentation I have chosen gfsartemisia-euler. I have the problem that the
\dot{x} command ... |
In my first article “The most enlightening Calculus books”, I argued the importance of maintaining high standards for mathematics education and suggested deep and inspiring calculus books for those of you who are interested in pursuing the joy of learning mathematics. The feedback has been overwhelming and I wish to fo... |
We know that there is an electric field inside the battery that works against the moving electrons of a circuit. But there is also the chemical force of the battery that at some point become equal. Voltage drop is the integral of the electric field over a closed loop. But you must also have the same integral over the s... |
Continuum flow limitations From Thermal-FluidsPedia
Line 1: Line 1: -
The transport phenomena are usually modeled in continuum states for most applications – the materials are assumed to be continuous and the fact that matter is made of atoms is ignored. Recent development in fabrication and utilization of nanotechnolo... |
Continuity for the rotation-two-component Camassa-Holm system
1.
School of Public Affairs, Chongqing University, Chongqing 400044, China
2.
Department of Mathematics, Southwestern University of Finance and Economics, Sichuan 611130, China
3.
College of Mathematics Science, Chongqing Normal University, Chongqing 401331,... |
I have been trying to understand the last step of this derivation. Consider a sphere made up of charge $+q$. Let $R$ be the radius of the sphere and $O$, its center.
A point $P$ lies inside the sphere of charge. In such a case, Gaussian surface is a spherical shell,whose center is $O$ and radius is $r$ (=OP). If $q'$ i... |
Is Supersymmetry really swapping fermions with bosons?
I wouldn't say supersymmetry is
really swapping fermions with bosons. It's saying there's a certain symmetry wherein each particle has a superpartner. A boson has a fermionic superpartner, and a fermion has a bosonic superpartner. For example supersymmetry says the... |
Recurrence Property Pattern
Untimed version
Pattern Name and Classification Recurrence: Occurrence Qualitative Patterns Structured English Specification Scope, P [holds] repeatedly. Pattern Intent This pattern requires that P must recurrently hold. Temporal Logic Mappings LTL Globally: $\Box (\Diamond \; P)$ Before R: ... |
Estimate an ARIMA Model
Estimates an ARIMA model for a univariate time series, including a sparse ARIMA model.
Usage
estimate(x, p = 0, d = 0, q = 0, PDQ = c(0, 0, 0), S = NA, method = c("CSS-ML", "ML", "CSS"), intercept = TRUE, output = TRUE, ...)
Arguments x a univariate time series. p the AR order, can be a positive... |
Consider a body attached to a horizontal spring and resting on a surface, inclined at an angle $\theta$ from the ground.
The spring constant is $k$. Initially the spring was kept in its natural length while the body was held still by some external agent. When the external agent was removed, the body slid $x$ units down... |
Pi is defined as the ratio of the circumference of any circle to its diameter. As all circles are similar and therefore proportional in dimensions, pi is therefore always the same for all circles and is a constant.
Consequently, pi can also be viewed as the area of a circle whose radius is one.
Value
The true value can... |
It is well-known that as you have more evidence (say in the form of larger $n$ for $n$ i.i.d. examples), the Bayesian prior gets "forgotten", and most of the inference is impacted by the evidence (or the likelihood).
It is easy to see it for various specific case (such as Bernoulli with Beta prior or other type of exam... |
As for your first two questions: there is indeed a behaviour and a target policy, which can be different. In the example image of the $3$-step tree-backup update in the beginning of the section you mention, the actions $A_t$, $A_{t+1}$, and $A_{t+2}$ are assumed to be selected according to some behaviour policy, wherea... |
Dear MO,
Question 1. Do you know of an example of a Fano variety which is not Frobenius split? Background
(1) A variety $X$ in characteristic $p$ is called
Frobenius split if there is a "$p$-th root" map $\sigma: \mathcal{O}_X \to \mathcal{O}_X$, that is, an additive map satisfying $\sigma(f^p g) = f\sigma(g)$ and $\si... |
Exercise:Suppose that $a_k \geq 0$ for $k$ large and that $\sum_{k = 1}^{\infty} \frac{a_k}{k}$ converges.
Prove that $$\lim_{j \to \infty}\sum_{k = 1}^{\infty} \frac{a_k}{j+k} = 0$$
Attempt in proof:
Suppose $a_k \geq 0$ for any large $k$ and that $\sum_{k = 1}^{\infty} \frac{a_k}{k}$ converges. . Then give $\epsilon ... |
Consider a dataset $\mathcal{D}=\{x^{(i)},y^{(i)}:i=1,2,\ldots,N\}$ where $x^{(i)}\in\mathbb{R}^3$ and $y^{(i)}\in\mathbb{R}$ $\forall i$
The goal is to fit a function that best explains our dataset.We can fit a simple function, as we do in
linear regression. But that's different about neural networks, where we fit a c... |
Suppose we have a family of compact oriented even dimensional spin manifolds $\{Y_x\}$ parameterized by a compact even dimensional manifold $X$. The $Y_x$'s are all diffeomorphic to some $Y$, of dimension $n$, and fit together to form a fiber bundle $\pi : Z \rightarrow X$ with fiber $Y_x=\pi ^{-1}(x)$. $TZ$ has the su... |
The basic Weyl ordering property generating all the Weyl ordering identities for polynomial functions is:
$((sq+tp)^n)_W = (sQ+tP)^n$
$(q, p)$ are the commuting phase space variables, $(Q, P)$ are the corresponding noncommuting operators (satisfying $[Q,P] = i\hbar $).
For example for n = 2, the identity coming from th... |
What is the difference between linear regression and logistic regression?
When would you use each?
Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. It only takes a minute to sign up.Sign up to join this community
Lin... |
When I use \left( and \right) to get appropriately sized parentheses for an operator, a space is created between the operator and the parentheses. I think it looks bad. Is it intentional? If so, why? ...
When using \newcommand and the like, LaTeX seems to create a new box for the content (I'm probably observing things ... |
The Joule-Thomson experiments occurs with no change in enthalpy.
Suppose that at the left of a porous plug there is a pressure $p_1$ and temperature $T_1$ and $p_2,T_2$ to the right of the plug, as $p_1>p_2$ the gas moves left to right. The experimental configuration must ensure that pressures remain constant and that ... |
Ok I have the following circuit and data (when the subscript is "ef" it means "rms" values):
I am asked to determine the paramenters of the transformer r1 L11, L22 and LM with the given experimental data.
I had no problem extracting data from the open circuit experiment. Using the fact that the active power is given by... |
SuZex approximation
This article collects approximations of function SuZex, which is superfunction of zex\(\,(z)=z\exp(z)~\). The complex map of SuZex is shown in figure at right. Below, it is compared to similar maps for various approximations of SuZex with elementary functions. All the maps are supposed to be display... |
ad nauseam.
I ran an experiment, just to see whether the idea was a complete dud or not. Before getting into the results, I should manage expectations a bit. Specifically, while it's theoretically possible in some cases that you might find all the Pareto efficient solutions (and is in fact guaranteed if there is only o... |
Inside a Schwarzschild black hole
Hello and welcome
Ever wondered what lies beyond the of a ? Current thinking asserts any one of numerous outcomes; time travel, wormholes, being crushed to a point, or instead, perhaps a fiery end in a wall of flame, making it very hard to know what to believe. We offer a somewhat more... |
Sep 9th 2008, 07:34 AM
# 2
Forum Admin
Join Date: Apr 2008
Location: On the dance floor, baby!
Posts: 2,856
Originally Posted by
jianxu
1. The problem statement, all variables and given/known data A member of a colony on Jupiter is required to salute the UN flag at the same time as it is being done on Earth at noon in ... |
Defining and manipulating vector equations with cross and dot products
Hello, I have been experimenting with Sage to see what it can or can't do. Consider the following simple problem. Show $[ \mathbf{A} \times (\mathbf{B} \times \mathbf{C}) ] + [ \mathbf{B} \times (\mathbf{C} \times \mathbf{A}) ] + [ \mathbf{C} \times... |
\(\text{25}\%\) of \(\text{R}\,\text{124,16}\)
\(\text{25}\% = \frac{\text{1}}{\text{4}}\). \(\frac{\text{1}}{\text{4}} \text{ of } \text{R}\,\text{124,16} = \text{R}\,\text{124,16} \div \text{4} = \text{R}\,\text{31,04}\)
Previous
Ratio, rate and proportion
Next
End of chapter activity
Let's see how this works in an e... |
I'm wondering what is the formula for induced drag
in a stalled regime, i.e. in a regime where the $C_L$ (coef. of. lift) has started to decrease but is still nonzero.
I've a feeling that the conventional formula for induced drag$$D_i = \frac{L^2}{\frac{1}{2}\rho V^2 \pi b^2 \epsilon}$$ (taken e.g. from this answer) wh... |
There is no shortage of idiots and assholes in this world. I see them everyday in my mail inbox. The rich Nigerian widow, Idi Amin’s grandson, Gaddafi’s daughter-in-law, Saddam Husain’s son-in-law, are all looking for a “reliable” partner in their business adventures and seek my help in this matter. Of course, they pro... |
Example 2:
What is the probability of choosing a card from a deck of cards that is a heart or a nine?
Solution:
Let event $A$ be choosing a heart from the deck of cards. As there are $13$ heart cards in a deck of cards, so the probability of selecting a heart card would be $P(A)$ = $\frac{n(A)}{n(S)}$ = $\frac{13}{52}$... |
For general discussion about Conway's Game of Life.
"Very", "extra", etc. are adverb that modify "long" (and each other), and can't directly modify "boat". They can only be used directly as adjectives in phrases like "This collision makes the object I want, plus an extra boat" or "That glider eliminated the very boat t... |
We study $$L^p\times L^q\rightarrow L^r$$ L p × L q → L r bounds for the bilinear Bochner–Riesz operator $$\mathcal {B}^\alpha $$ B α , $$\alpha >0$$ α > 0 in $${\mathbb {R}}^d,$$ R d , $$d\ge 2$$ d ≥ 2 , which is defined by [Equation not available: see fulltext.]We make use of a decomposition which relates the estimat... |
Given any triangle $T$ there is a triangle $T'$ similar to $T$ such that the area of $T'$ is the same as the perimeter of $T'$.
Suppose the perimeter of $T$ is $P$ and the area of $T$ is $A$. Then dilate $T$ by a factor of $\frac{P}{A}$ to produce the triangle $T'$. (That is, multiply all the lengths by $\frac{P}{A}$.)... |
Get your free trial content now! Video Transcript Transcript Graphing Functions
Stephanie Gawking is a math enthusiast, and her hobby is
astronomy. From her backyard, she gazes through her telescope and dreams of discovering a new celestial body.
She sees a shooting star - which is a small, fast meteor. Although she kn... |
Some background: leukemia is an immune cancer so it comes from the hematopoietic system. Thus, it would be useful to look into Hematopoietic stem cells (HSCs). Note that, in general, the (semantic) hierarchy of stem cells goes: totipotent, pluripotent, and multipotent, in order of less generality (i.e. more differentia... |
Integrate after Pullback
How to integrate a differential for obtained by pullback?
Let say I have calculated the pullback of some differential form, the result is (in latex):
$\rho^2\sin(\theta)\,\mathrm{d}\rho\wedge\mathrm{d}\theta\wedge\mathrm{d}\phi$
The triple integral is:
sage: integral(integral(integral(rho^2*sin... |
Rational Expressions Learn easily with Video Lessons and Interactive Practice Problems Simplifying Rational Expressions
A
rational expression is a fraction. What makes a rational expression different from a simple or complex fraction is the numerator and/or the denominator are polynomials.
To simplify rational expressi... |
A few days ago, whilst gazing upon the midnight sky, a totally justified question crawled into my mind.
How many SpaceX rockets does it take to deorbit the Moon? It went straight into one of those places where you can’t really ignore it or shake it off, you just have to know. I could have probably just calculated the r... |
Research Open Access Published: Periodic solutions of Rayleigh equations with singularities Boundary Value Problems volume 2015, Article number: 154 (2015) Article metrics
914 Accesses
7 Citations
Abstract
In this paper, we study the existence of periodic solutions of Rayleigh equations with singularities \(x''+f(t, x'... |
Introduction
Suppose we have the task of predicting an outcome
y given a number of variables
v1,..,vk. We often want to “prune variables” or build models with fewer than all the variables. This can be to speed up modeling, decrease the cost of producing future data, improve robustness, improve explain-ability, even red... |
Halfthickness
For the linear absorption with exponential decay of intensity of some intensity \( I \), id eat,
\( I(z)= I(0) \exp(-\mu z) \)
where \(\mu\) is absorption decrement.
Halfthickness appears as length, at which the intensity drops to a half of its initial value.
Halfthickness is related to the absorption e \... |
Class 8th CBSE is a very important stage in the development of fundamentals of a student. As the basics of Maths and Science help students to understand complex topics which will come in 9th standard. Most of the subjects in class 8 are vast, where some of them require not only memorization but also requires skill. One... |
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... |
I do a
lot of my early draft writing in LaTeX, so I place a substantial value in being able to quickly read my own LaTeX code.
As a result, I adopt a style which is half-way between the "LaTeX way" (of using the correct delimiters for math environments and semantic names for macros) and quick-and-dirty macro usage (to ... |
I think that adding alkyl groups to $\alpha$ - $\beta$ unsaturated carbonyl compounds are possible through Enamine synthesis by Secondary amines. But the alkylation will be at the $\alpha$ and $\gamma$ positions as follows.
For simplicity, if we take the corresponding carbonyl compound as Cyclohex-$2$-en-$1$-one, the p... |
5.1 Case study: Comparing work travel times
The following is a worked example using the county complete dataset from Section 4 that demonstrates how to use the
infer package to test if the difference in mean values of two distributions is statistically significant.To follow along, load the following libraries and datas... |
In this tutorial you will learn how to set up and execute a series of calculations for strained structures. Additionally, it will be explained how to obtain the derivatives of the energy-vs-strain curves at zero strain and how these quantities are related to elastic constants. Purpose:
Table of Contents
0. Define relev... |
Overview
The Fourier transform is an operation which can transform a signal that is described in the time-domain (i.e. x-axis is time), into a signal that is described in the frequency-domain (the x-axis is frequency).
Fourier theorem states that a periodic function f(x) which is reasonably continuous may be expressed ... |
An electro-magnetic interference (EMI) source is connected to a filter and to a LISN.
The EMI source is a common-mode source: it generates an undesirable signal which flows from the generator \$ V_g \$, equally divides itself and flows through the branches HOT and NEUTRAL and comes back to the generator through ground ... |
Before the measurement of an observable, the quantum state is
$$|\Phi\rangle = \sum_i c_i |\psi_i \rangle,$$ with $|\psi_i \rangle$ called "pure states".
Once the measurement is done, the quantum state $|\Phi\rangle$ is projected onto one of the pure states $|\psi_{i}\rangle$.
Questions:
Is a pure state an eigenvector ... |
Let us define the auxiliary process $\Lambda_t=e^{\kappa t}\lambda_t$. Note that:
$$ \Lambda_t = \kappa e^{\kappa t} \int_0^t(\rho_s-\lambda_s)ds+\delta e^{\kappa t}\int_0^tdN_t$$
Hence after a jump occurs at $t$:
$$ \Lambda_t=\Lambda_{t-}+\delta e^{\kappa t}$$
Therefore by Ito's lemma for jump-diffusion processes:
$$ ... |
Probability of an event can be defined as the likelihood of an event to occur. Suppose we have a ground of 200 square feet, and we want to throw a ball such that it hits somewhere in a specified area of 20 square feet, then what will be the probability of the ball hitting the desired area? This probability of hitting a... |
There are proofs that treat the cases of real and non-real $\chi$ on an equal footing. One proof is in Serre's Course in Arithmetic, which the answers by Pete and David are basically about. That method is using the (hidden) fact that the zeta-function of the $m$-th cyclotomic field has a simple pole at $s = 1$, just li... |
Some results about a bidimensional version of the generalized BO
1.
Departamento de Matematica, IMECC-UNICAMP, 13081-970, Campinas, SP, Brazil
$u_t-H^{(x)}u_{x y}+u^p u_y=0, \quad t\in \mathbb R,\quad (x,y)\in \mathbb R^2,$
we use the method of parabolic regularization to prove local well-posedness in the spaces $H^s(\... |
(Marked this version for translation)
(12 intermediate revisions by the same user not shown) Line 8: Line 8:
* [[Siril:Tutorial_sequence|Work on a sequence of converted images]]
* [[Siril:Tutorial_sequence|Work on a sequence of converted images]]
* [[Siril:Tutorial_preprocessing|Pre-processing images]]
* [[Siril:Tutori... |
A year ago, I was not able to understand the following.
First Shreve defines $V_n$ as follows:
Definition 4.4.1. For each $n, n = 0,1,\cdots, N$, let $G_n$ be a random variable depending on the first $n$ coin tosses. An American derivative security with intrinsic value process $G_n$ is a contract that can be exercised ... |
Open the Terminal and install Enchant. sudo apt-get install enchant Open LyX and select Tools > Preferences > Language Settings > Spellchecker Select Enchant for Spellchecker Engine. Click on Apply, Save and finally Close. Thursday, March 13, 2014 Wednesday, March 12, 2014 Friday, November 11, 2011 Wednesday, September... |
In signal processing, cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them. This is also known as a sliding dot product or sliding inner-product. It is commonly used for searching a long signal for a shorter, known feature. It has applications in pattern recog... |
A particle has spin $\hbar/2$. A measurement is made of the sum of x and z components of its spin angular momentum.
What are the possible results of the measurement?
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It only takes a minute to sign up.Sign up ... |
I use the notation of this question. A non-decreasing continuous bijection from $[0,a]$ to $[0,b]$ where $a,b\geq 0$ are two real numbers is denoted by $[0,a] \cong^+ [0,b]$. If $\phi:[0,a]\to U$ and $\psi:[0,b]\to U$ are two continuous maps for some topological space $U$ with $\phi(a)=\psi(0)$, the map $\phi*\psi:[0,a... |
Iterate of exponential Contents Integer and non-integer \(n\)
The most often are the first iteration of exponent, \(n=1\); \(\exp^1=\exp\)
and the minus first iteration, \(n=-1\); \(\exp^{-1} = \ln\).
Less often they appear with \(n = \pm 2\); \(\exp^2(z)=\exp(\exp(z))\), and \(\exp^{-2}(z)=\ln(\ln(z))\). Other values ... |
2018-08-25 06:58
Recent developments of the CERN RD50 collaboration / Menichelli, David (U. Florence (main) ; INFN, Florence)/CERN RD50 The objective of the RD50 collaboration is to develop radiation hard semiconductor detectors for very high luminosity colliders, particularly to face the requirements of the possible u... |
I am hoping that someone can point out the error in the "proof" of the following "theorem":
Theorem: Let $k$ be a perfect field of characteristic $p>2$ and let $G$ be an ordinary $p$-divisible group over $W(k)$. Then the connected-etale sequence of G is split: $G\simeq G^m \times G^{et}$.
The "Theorem" is decidedly fal... |
In 1+1 dimensions there is duality between models of fermions and bosons called bosonization (or fermionization). For instance the sine-Gordon theory $$\mathcal{L}= \frac{1}{2}\partial_\mu \phi \partial^\mu \phi + \frac{\alpha}{\beta^2}\cos \beta \phi$$ can also be described in terms of fermions as the massive Thirring... |
Can someone help me calculate this integral?
$\int \frac{\sqrt{\sqrt[3]{x} - 2}}{x}dx$
I tried this substitution:
$\Bigg(t = \sqrt[3]{x}, t^3 = x, 3t^2dt=dx\Bigg)$
which reduces the integral to:
$\int \frac{\sqrt{t-2}}{t}3t^2dt = 3\int \sqrt{t-2}tdt$
and continuing from here is pointless, because the result (according ... |
Get your free trial content now! Video Transcript Transcript Types of Numbers
The
system of different types of numbers is structured quite the same like the countries and cities all over the world. This is Hayato. He lives in Japan. This is a island nation in East Asia. The Japanese islands are in the Pacific.
To be mo... |
161 0
Dear guys,
I read a derivation of the dimension of gamma matrices in a [tex]d[/tex] dimension space, which I don't quite understand.
First of all, in [tex]d[/tex] dimension, where [tex]d[/tex] is even. One assumes the dimension of gamma matrices which satisfy [tex] \{ \gamma^\mu , \gamma^\nu \} = 2\eta^{\mu\nu} \... |
It's hard to say just from the sheet music; not having an actual keyboard here. The first line seems difficult, I would guess that second and third are playable. But you would have to ask somebody more experienced.
Having a few experienced users here, do you think that limsup could be an useful tag? I think there are a... |
I came across this problem :
The standard state Gibbs free energies of formation of C(graphite) and C(diamond) at $T = \pu{298 K}$ are $\pu{0 kJ mol-1}$ and $\pu{2.9 kJ mol-1}$, respectively.
The conversion of graphite [C(graphite)] to diamond [C(diamond)] reduces its volume by $\pu{2e-6 m3 mol-1}$.
If C(graphite) is c... |
I am working with the following copula, and have a few questions about it:
$C(x,y) = xy + \theta (1-x)(1-y)xy$
Here $\theta \in [-1,1]$ and $x,y \in [0,1]$
First, I am trying to show this copula is d-increasing. To do this, I took $\frac{\partial C}{\partial x \partial y}$ hoping $\frac{\partial C}{\partial x \partial ... |
Total $\{k\}$-domination in special graphs
1.
University of Science and Technology of China (USTC), Hefei, China
2.
Facebook Seattle, 1101 Dexter Ave N, Seattle, WA 98109, USA
For a positive integer $k$ and a graph $G = (V,E)$, a function $f:V \to \{0,1,...,k\}$ is called a
total $\{k\}$- dominating function of $G$ if ... |
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... |
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