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The molecular mass calculations made using the atomic masses on the periodic table apply for general calculations, but aren't accurate when known isotopes of atoms are present in a compound.... 16/01/2017 · And actually it doesn't have a molar mass, as molar mass is a property of a compound - something with well define... | CommonCrawl |
So far on QuantStart we have discussed algorithmic trading strategy identification, successful backtesting, securities master databases and how to construct a software research environment. It is now time to turn our attention towards forming actual trading strategies and how to implement them.
One of the key trading c... | CommonCrawl |
is Noetherian and geometrically regular over $\kappa (\mathfrak p)$.
In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 07BZ. Beware of the difference between th... | CommonCrawl |
A well known example in quantum mechanics is that of a finite rectangular potential well with a rectangular bump in the middle. I guess this closely approximates the "umbrella" effect of the $NH_3$ molecule.
But this potential is not solvable analytically.
I want to know if there is a solvable Hamiltonian known which m... | CommonCrawl |
Abstract: We show that the late-decaying particle scenario may be realized in the supersymmetric singlet majoron model with the majoron scale $10-200$ TeV. The smajoron decaying into two neutrinos is the late-decaying particle with the mass $0.1-1$ TeV and the life-time $2\times10^3-8\times10^4$ seconds. The lower limi... | CommonCrawl |
Abstract: We consider the first mixed problem in a cylindrical domain $D=(0,\infty)\times\Omega$ for a pseudo-differential parabolic equation with homogeneous Dirichlet boundary conditions and a finitely supported initial function. We find upper bounds for the $L_2$-norm of a solution as $t\to\infty$ in terms of a geom... | CommonCrawl |
Abstract: In this paper we consider the minimum time population transfer problem for the $z$-component of the spin of a (spin 1/2) particle driven by a magnetic field, controlled along the x axis, with bounded amplitude. On the Bloch sphere (i.e. after a suitable Hopf projection), this problem can be attacked with tech... | CommonCrawl |
In how many ways can you tile a $3\times n$ rectangle with $2\times 1$ dominoes?
Here is a sample tiling of a $3\times 12$ rectangle.
Input consists of several test cases followed by a line containing -1. Each test case is a line containing an integer $0 \leq n \leq 30$. For each test case, output one integer number gi... | CommonCrawl |
M. Vanzini, "Auxiliary systems for observables: dynamical local connector approximation for electron addition and removal spectra", Université Paris-Saclay, 2018.
J. Sky Zhou, Gatti, M., Kas, J. J., Rehr, J. J., and Reining, L., "Cumulant Green's function calculations of plasmon satellites in bulk sodium: Influence of ... | CommonCrawl |
will be true if $K\to\infty$.
The right hand we know is NOT the right tri-nomial develop, so this is the absurdum we are looking for.
The reason why it will works for $n=2$ and not for $n>2$ can be summarized as: it's due to mixed terms of higher degree (from 2).
And a short cut will be: first derivate = curve.
It was ... | CommonCrawl |
How to correct aim in aerial airship combat?
Report! Correct aim 2-20 fore, figure in enemy speed at negative 15 knots relative decelerating. Ready? Fire in Sequence on my mark... MARK!
LCDR Arnold Dering, Commander of the "X"-Turret, GKS-B-RW41 "Adamanta"
NOTICE: I am looking for a solution within the confines given i... | CommonCrawl |
We deal with a Hamiltonian system with two degrees of freedom, whose Hamiltonian is a 2$\pi$-periodic function of time and analytic in a neighborhood of an equilibrium point. It is assumed that the characteristic equation of the system linearized in a neighborhood of the equilibrium point has two different double roots... | CommonCrawl |
find p$_i$:V->V, $(pi)^2$=p$_i$, p$_i$*p$_j$=0 such that V$_i$=im(p$_i$) where p$_i$=projection and im=image.
What do you mean find the projections? Do you mean you want a formula? If so this is just the Euclidean inner product. If not, explain what you mean.
If I'm understanding you correctly this is very trivial. It'... | CommonCrawl |
Y.I. Manin mentions in a recent interview the need for a "codification of efficient new intuitive tools, such as … the "brave new algebra" of homotopy theorists". This makes me puzzle, because I thought that is codified in e.g. Lurie's articles. But I read only his survey on elliptic cohomology and some standard articl... | CommonCrawl |
Format: MarkdownItexEvery category -- indeed, every simplicial set -- admits a [[homotopy final functor]] into it out of a [[Reedy category]], namely its [[category of simplices]] (HTT 4.2.3.14). This makes me wonder: can every $(\infty,1)$-topos be presented as a localization of an $(\infty,1)$-topos of presheaves on ... | CommonCrawl |
If vertex $$$v$$$ is white, mark it as black; otherwise, perform this operation on all direct sons of $$$v$$$ instead.
Mark all vertices in the subtree of $$$v$$$ (including $$$v$$$) as white.
Find the color of the $$$i$$$-th vertex.
An example of operation "1 1" (corresponds to the first example test). The vertices $$... | CommonCrawl |
Volume 9, Number 2 (1996), 335-342.
If $a(t)$ and $b(t)$ are positive almost periodic functions, and $K(t)$ is nonnegative and piecewise continuous on $[0,\infty),$ conditions under which the equation $$ N'(t) = N(t)\Big( a(t) - b(t) \int_0^\infty K(s) N(t-s)\,ds \Big) $$ has a positive almost periodic solution $N^*(t)... | CommonCrawl |
Abstract: A multiple power series $B(x)$ with non-negative coefficients converging in $x\in(0,1)^n$ and diverging at the point $\mathbf1=(1,…,1)$ is considered. A random variable (r.v.) $\xi_x$ having power series distribution $B(x)$ is studied. The integral limit theorem for r.v. $\xi_x$ as $x\uparrow\mathbf1$ is prov... | CommonCrawl |
Written by Dominik Joe Pantůček on December 6, 2018.
Basic computer vision algorithms may aid you in performing visual control of whatever you may be manufacturing. But if you want something more, you need to turn to the magic world of … linear algebra. Read on to see how all those little vectors and matrices help us w... | CommonCrawl |
Firstly, I'd like to specify my goal: to know why QFT runs exponentially faster than classical FFT. I have read many tutorials about QFT (Quantum Fourier Transform), and this tutorial somehow explains something important between classical and quantum Fourier Transform.
However, I couldn't catch up the statement regardi... | CommonCrawl |
The motion of a nonautonomous time-periodic two-degree-of-freedom Hamiltonian system in a neighborhood of an equilibrium point is considered. The Hamiltonian function of the system is supposed to depend on two parameters $\varepsilon$ and $\alpha$, with $\varepsilon$ being small and the system being autonomous at $\var... | CommonCrawl |
####Question Description We have $1,2,\ldots,n$ symbols. We want to find a shoretest possible string on the symbols that contains every permutation of those symbols as a contiguous substring. We call a string that contains every permutation in this way a $superpermutation$, and one of minimal length is called a $minima... | CommonCrawl |
Is there a definition of an $\infty$-groupoid in HoTT whose terms are $n$-manifolds and whose higher morphisms are diffeomorphisms/isotopies/etc?
Suppose you want to work with TQFTs in homotopy type theory (HoTT). Working with $(\infty,n)$-categories, or even $(\infty,1)$-categories, is something that I gather is too d... | CommonCrawl |
You are given an array that contains $n$ integers. Your task is to determine the longest increasing subsequence in the array.
An increasing subsequence is a set of values in the array in their original order such that each number is larger than the previous number.
The first line contains an integer $n$: the size of th... | CommonCrawl |
25 : 37 : : 49 : ?
Priyanka started from her house towards west. After walking a distance of 25 m, she turned to the right and walked 10 m. She then again turned to the right and walked 15 m. After this she is the turn righ at 135 and to cover 30 m. In which direction should he go ?
In a certain code AVANTIKA is writte... | CommonCrawl |
Assuming I have a data set with $d$ dimensions (e.g. $d=20$) so that each dimension is i.i.d. $X_i \sim U[0;1]$ (alternatively, each dimension $X_i \sim \mathcal N[0;1]$) and independent of each other.
For normal distributed data, the results appear to be very similar, at least when rescaling them to a total sum of $1$... | CommonCrawl |
I am very much in favor of immigration everywhere in the U.S. except Edison, N.J.
But really, what bothers me about this piece, why it didn't strike me as satire, is that it seems to assume that there really is a dominant narrative out there, i.e. that "white" culture is where it's at. Assimilation is not an option, it... | CommonCrawl |
It is well-known that an analytic generic CR submainfold M of codimension m in Cn+m is locally transformed by a biholomorphic mapping to a plane Cn$\times$Rm ⊂ Cn$\times$Cm whenever the Levi form L on M vanishes identically. We obtain such a normalizing biholomorphic mapping of M in terms of the defining function of M.... | CommonCrawl |
[1902.05040] How do infinite width bounded norm networks look in function space?
Title:How do infinite width bounded norm networks look in function space?
Abstract: We consider the question of what functions can be captured by ReLU networks with an unbounded number of units (infinite width), but where the overall netwo... | CommonCrawl |
Counting integers with a least prime factor greater than $x$ in a sequence of $x$ consecutive integers.
Problem about real projective plane.
Proving an inequality involving absolute value; how do I justify using a conjunction (and) instead of a disjunction (or)?
Question on the injectivity of a function.
How do I prove... | CommonCrawl |
LATTICE-parameters.sh: (Bash) shell script for extracting the values of the lattice parameters out of any exciting input file.
exciting2sgroup.py: Python script for converting an exciting input file to an input file for the program sgroup.
Minimization with respect to the $b/a$ ratio (all other parameters are fixed).
M... | CommonCrawl |
If the returns of my strategy are distributed like 𝒩[μ,σ], what is the optimal fraction of capital to invest in each single trade, as a function μ and σ? Help!
This problem can be expressed as the original Merton's portfolio problem.
where $\alpha_t$ is proportion of the investment in the risky asset $S_t$, and $S_t^0... | CommonCrawl |
The goal is to tile rectangles as small as possible with the given hexomino, in this case number 3 of the 25 hexominoes which cannot tile a rectangle alone. We allow the addition of copies of a rectangle. For each rectangle $a\times b$, find the smallest area larger rectangle that copies of $a\times b$ plus at least on... | CommonCrawl |
I've read that the Friis transmission equation can be applied to calculate path loss in ideal space. However, I'd like to better understand the factors that define it and what it represents, and why it is the equation it is.
Let's imagine that there are two antennas, entirely in free space. There is no Earth or any oth... | CommonCrawl |
Abstract: The study of free boundary minimal hypersurfaces, namely of those critical points for the area functional that meet the boundary of their ambient manifold orthogonally, dates back at least to Courant and yet has recently seen remarkable developments both in terms of existence results (via min-max and or gluin... | CommonCrawl |
Short answer. No, the answer proposed here is wrong. Actually, $[(zx)/x]\, \lambda z.xyz = \lambda t.(zx)yt$, which is completely different from $\lambda t.(t(zx)y)$ because application is not commutative, unlike the usual product: in general, the term $xy$ is the application of $x$ to $y$ (where $x$ and $y$ are intend... | CommonCrawl |
Abstract: We study the problem of whether an arbitrary codimension three graded artinian Gorenstein algebra has the Weak Lefschetz Property. We reduce this problem to checking whether it holds for all compressed Gorenstein algebras of odd socle degree. In the first open case, namely Hilbert function (1,3,6,6,3,1), we g... | CommonCrawl |
With the start of Observing Period 31 (April 1st, 2005), NOT has started a Fast-Track Service Observing Programme offering the opportunity to propose short programmes on a running basis and with a short lead time from proposal to execution. A number of nights have been reserved for this service throughout each semester... | CommonCrawl |
In flow control, the timer used is started when the transmission of the packet starts or when the last bit of the packet is transmitted?
Any questions in flow control related to the timer?
timeout timer is started just as tranmission is done .
Timeout Timer Started just after last bit of data packet being put on transm... | CommonCrawl |
Abstract: We revisit the relations between open and closed string scattering amplitudes discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the underlying algebro-topological identities known as the twisted period relations. In order to do so, we formulate tree-level string theory amplitudes in ... | CommonCrawl |
Question: Is the operation "$I$ is linked to $J$" an equivalence relation? Particularly I do not understand how it is reflexive?
If $I$ is an ideal with $R/I$ CM, pick a regular sequence $x_1,\ldots, x_r\in I$, where $r$ is the height of $I$. If we call $K$ the ideal generated by the $x_i$s, we can define $J=(K:I)$. On... | CommonCrawl |
There is a list of $n$ numbers and two players who move alternately. On each move, a player removes either the first or last number from the list, and their score increases by that number. Both players try to maximize their scores.
What is the maximum possible score for the first player, if both players play optimally?... | CommonCrawl |
We review results about the influence tumor heterogeneity has on optimal chemotherapy protocols (relative to timing, dosing and sequencing of the agents) that can be inferred from mathematical models. If a tumor consists of a homogeneous population of chemotherapeutically sensitive cells, then optimal protocols consist... | CommonCrawl |
In a class of three students, the teacher says an astrochemechanicalculus exam will be given next week. He warns that after the tests are graded, he will swap the highest and lowest scores. For example, a set of 0, 50, & 100 will result in the perfect scorer receiving a zero while the bum gets a 100.
Each student has a... | CommonCrawl |
If all balls at $x$ and $y$ are isometric is there an isometry sending $x$ to $y$?
Let $(X,d)$ be a metric space and $x,y \in X$. Assume that for all $r > 0$ the balls $B_r(x)$ and $B_r(y)$ are isometric.
Is it true that there exists an isometry of $X$ sending $x$ to $y$?
No. Let $x$ and $y$ be connected by an edge and... | CommonCrawl |
Abstract: We present the analysis underpinning the measurement of cosmological parameters from 207 spectroscopically classified type Ia supernovae (SNe Ia) from the first three years of the Dark Energy Survey Supernova Program (DES-SN), spanning a redshift range of 0.017<$z$<0.849. We combine the DES-SN sample with an ... | CommonCrawl |
In this lecture and a companion lecture Classical Filtering with Linear Algebra, we study the classical theory of linear-quadratic (LQ) optimal control problems.
matrix decompositions applied to linear systems of first-order conditions for optimum problems.
The system of equations (4) form a $ 2 \times m $ order linear... | CommonCrawl |
Jansen and Heß -- correcting an earlier paper of Douglas and Kroll -- have derived a (pseudo-)relativistic energy expression which is very successful in describing heavy atoms. It is an approximate no-pair Hamiltonian in the Furry picture. We show that their energy in the one-particle Coulomb case, and thus the resulti... | CommonCrawl |
Gentz, B (1996). A central limit theorem for the overlap in the Hopfield model. The Annals of Probability, 24(4):1809-1841.
We consider the Hopfield model with n neurons and an increasing number $p = p(n)$ of randomly chosen patterns. Under the condition $(p^3 \log p)/n \to 0$, we prove for every fixed choice of overla... | CommonCrawl |
show ⋆ 100% Private Proxies - Fast, Anonymous, Quality, Unlimited USA Private Proxy!
Google photos knows about the people in pictures, and can give me a list of pictures every person appears in. When a picture is chosen as the default profile picture for a person, it knows how to center it properly on the face.
Is ther... | CommonCrawl |
Continuum $=$ compact connected metric space.
Let $X$ be a continuum. $X$ is indecomposable means that every proper subcontinuum of $X$ is nowhere dense in $X$.
It is easy to see that if $X$ is indecomposable then every connected open subset of $X$ is dense in $X$.
Question. Are these two conditions equivalent?
Given t... | CommonCrawl |
"directory junction" vs "directory symbolic link"?
What is the result of $\infty - \infty$?
What happens when there's insufficient memory to throw an OutOfMemoryError?
"git rm --cached x" vs "git reset head -- x"?
Why can't I email myself at: MyEmail@74.125.235.55?
File.separator vs FileSystem.getSeparator() vs System... | CommonCrawl |
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona ... | CommonCrawl |
Let $m$ be an integer bigger than one, $A$ a ring of algebraic integers, $F$ its fraction field, and $K_m (A)$ the $m$-th Quillen $K$-group of $A$. We give a (huge) explicit bound for the order of the torsion subgroup of $K_m (A)$ (up to small primes), in terms of $m$, the degree of $F$ over $\mathbf Q$, and its absolu... | CommonCrawl |
9 Meaning and usage of complex number functor and monad?
9 Why is the Major-Minor Scale unused?
7 Is mfix for Maybe impossible to be nontrivially total?
6 Is there a name for, or notable structure that uses, weird "distributive laws" such as $a\times(b+c)=b\times a+c\times a$? | CommonCrawl |
In the real world, math is about solving unsolved problems, analyzing unfamiliar situations, devising new mathematical systems and tools, exploring unknown landscapes and more — all the while reasoning with clear, rigorous logic. Students of math must ask their own questions and search for their own directions. These s... | CommonCrawl |
Roughly this can be understood as follows: since the pertrubation is in the coupling constant about vanishing coupling, a non-zero radius of convergence would imply that the theory is finite also for negative coupling (where "things fly apart"), which will not happen in realistic theories.
My question is, why the negat... | CommonCrawl |
Abstract: Let $\Sigma$ be a codimension one submanifold of an $n$-dimensional Riemannian manifold $M$, $n\geqslant 2$. We give a necessary condition for an isometric immersion of $\Sigma$ into $\mathbb R^q$ equipped with the standard Euclidean metric, $q\geqslant n+1$, to be locally isometrically $C^1$-extendable to $M... | CommonCrawl |
XZ=ZY is called the conjugacy equation. Given languages X and Y we are interested in knowing if there exists a non empty language Z which makes this equation true. This problem is undecidable in the general setting.
Suppose we have a polynomial $P$ in variables $X_1, \\ldots, X_n$ with coefficients from a field $F$, wi... | CommonCrawl |
Microbial flavohemoglobins (flavoHbs) and hemoglobins (Hbs) show large radical dotNO dioxygenation rate constants ranging from 745 to 2900 μM−1 s−1 suggesting a primal radical dotNO dioxygenase (NOD) (EC 1.14.12.17) function for the ancient Hb superfamily. Indeed, modern O2-transporting and storing mammalian red blood ... | CommonCrawl |
The cohomology groups of the total space of the pencil.
A description of the Gauss-Manin local system on $\mathbb P^1-\Delta$ (e.g. in terms of monodromy action of the generators for $\pi_1$).
The Hodge numbers of a hypersurface $X\subset \mathbb P^n$ can be computed using Lefschetz hyperplane away from the middle row,... | CommonCrawl |
Abstract: We study finite (physical) volume and scaling violation effects of the Landau gauge ghost propagator as well as of the running coupling $\alpha_s(p)$ in the $SU(2)$ lattice gauge theory. We consider lattices with physical linear sizes between $aL \simeq 3$ fm and $7$ fm and values of lattice spacing between $... | CommonCrawl |
27 There exists a regular language A such that for all languages B, A ∩ B is regular.
11 Finding coefficient of polynomial?
11 Group of $r$ people at least three people have the same birthday?
10 Squaring both sides when units are different?
7 How do you compute eigenvalues/vectors of big $n\times n$ matrix? | CommonCrawl |
A. Kapahtia, P. Chingangbam, and S. Appleby. (2019)cite arxiv:1904.06840Comment: 31 Pages, 15 figures.
We use morphological descriptors, Betti numbers and Contour Minkowski Tensor (CMT) on 21cm brightness temperature excursion sets, to study the ionization and heating history of the intergalactic medium (IGM) during an... | CommonCrawl |
The following listing contains all publications of Dr. Pascal Lenzner. Further publications of the research group can be found on the current list of publications and the complete list of publications. Individual listings are available externally on DBLP and Google Scholar or locally as PDF.
Selfish Network Creation fo... | CommonCrawl |
Relationships between muscle $\alpha$-tocopherol oncentrations and metmyoglobin percentages during display of six muscles, m. serratus ventralis (SV), m. psoas major (PM), m. gluteus medius (GM), m. semimembranosus (SM), m. semitendinosus (ST) and m. longissimus lumborum (LL), of Japanese Black steers slaughtered at 28... | CommonCrawl |
This may well be something of a silly question, but if so, then all the more reason I get it straightened out.
I have in the past been working with representations of both groups and algebras, and in the literature I've been using, the traces of the representation matrices of both have always been referred to as charac... | CommonCrawl |
Let $K^n$ denote the set of convex bodies (compact and convex sets) in $\mathbb R^n$. This set is endowed with two important structures. There is an algebraic structure, Minkowski addition +, and a topological one, Hausdorff distance. The cone $(K^n , +)$ is complicated - most convex bodies are extremal elements. Inves... | CommonCrawl |
Shimada, H. (2007). Holography at string field theory level: Conformal three point functions of BMN operators. Physics Letters B, 647(2-3), 211-218.
Abstract: A general framework for applying the pp-wave approximation to holographic calculations in the AdS/CFT correspondence is proposed. By assuming the existence and s... | CommonCrawl |
Let $q$ be a scalar generalized Nevanlinna function, $q\in\mathcal N_\kappa$. Its gene alized zeros and poles (including their orders) are defined in terms of the function's operator representation. In this paper analytic properties associated with the underlying root subspaces and their geometric structures are invest... | CommonCrawl |
Quite a few years ago I seem to have read a paper or heard a good talk with the title "Some matrices I have known". Does anyone recall that, or can give a reference?
Perhaps you're looking for Paul Halmos's talk Matrices I have Met?
Not the answer you're looking for? Browse other questions tagged matrices reference-req... | CommonCrawl |
You have to handle a very complex water distribution system. The system consists of $$$n$$$ junctions and $$$m$$$ pipes, $$$i$$$-th pipe connects junctions $$$x_i$$$ and $$$y_i$$$.
The only thing you can do is adjusting the pipes. You have to choose $$$m$$$ integer numbers $$$f_1$$$, $$$f_2$$$, ..., $$$f_m$$$ and use t... | CommonCrawl |
A while ago I was thinking about how to illustrate the input data in Shape from sensors — in 2D, the input is the unit tangent field parametrized by arc-length.
I ended with this cool-looking isometric and isotopic unwrapping.
Move the slider to unwrap the curve. You can also play around in fullscreen.
The effect is ac... | CommonCrawl |
Each column, each row and each box (3$\times$3 subgrid) must have the numbers 1 to 9.
The puzzle can be solved with the help of clue-numbers which are written after slash marks on the intersections of border lines. Each clue-number is the sum of two digits in the two squares that are diagonally adjacent to each other. ... | CommonCrawl |
In 1901, Werner Boy (under direction from David Hilbert) discovered a non-orienting surface which is a self-intersecting immersion of the real projective plane in 3-dimensional space. The surface is obtained by sewing a Möbius strip to the edge of a disk, given by the parametric equations below.
"Draws the shape at the... | CommonCrawl |
In a previous paper we introduced and developed a recursive construction of joint eigenfunctions $J_N(a_+,a_-,b;x,y)$ for the Hamiltonians of the hyperbolic relativistic Calogero-Moser system with arbitrary particle number $N$. In this paper we focus on the cases $N=2$ and $N=3$, and establish a number of conjectured f... | CommonCrawl |
I need to solve a trigonometric function similar to the following one for $\alpha$. $$ x_1 \sin(2\alpha)+x_2 \cos(2\alpha) - x_3 \sin(\alpha) - x_4 \cos(\alpha) = 0 $$ I found a solution to a very . Stack Exchange Network. Stack Exchange network consists of 174 Q&A communities including Stack Overflow, the largest, mos... | CommonCrawl |
For skilled programmers, it is very easy to implement a sorting function. Moreover, they often avoid full sorting to reduce computation time if it is not necessary. Here, we consider "rough sorting" which sorts an array except for some pairs of elements. More formally, we define an array is "$K$-roughly sorted" if an a... | CommonCrawl |
1) Begin by stating that a Taylor Series is an expansion of a function into an infinite sum of terms.
My only concern is: Is this too much for a 12-15 minute demo?
Caveat: I'm just a random Internet poster, not an instructor, so take this with a grain of salt. And get some advice from blooded veterans.
A. It's too much... | CommonCrawl |
Your company is moving to a new, larger office building. The new office is a rectangular space that will eventually be populated with cubicles. Your employees want to request particular positions for their cubicles, so you are setting up a system that lets them make these requests. To help automate this process, you ha... | CommonCrawl |
Abstract: A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions when the partition involves a corner of angle $\theta$, the subleading term is logarithmic with coefficient $a_\alpha(\theta)$ for the $\alpha$-Rényi entropy. In the smooth ... | CommonCrawl |
The core of InfoScout's business intelligence platform is built on top of receipts. Hundreds of thousands of receipt images are uploaded by shoppers from all over the country, every single day. The quality and resolution of these images vary wildly: they could be rotated, shot in low light conditions, or taken by a poo... | CommonCrawl |
We study the growth of typical groups from the family of $p$-groups of intermediate growth constructed by the second author. We find that, in the sense of category, a generic group exhibits oscillating growth with no universal upper bound. At the same time, from a measure-theoretic point of view (i.e., almost surely re... | CommonCrawl |
Abstract: We propose a variety of models of random walk, discrete in space and time, suitable for simulating stable random variables of arbitrary index $\alpha$ ($0< \alpha \le 2$), in the symmetric case. We show that by properly scaled transition to vanishing space and time steps our random walk models converge to the... | CommonCrawl |
This is to be completed by November 2nd, 2017.
Complete the lesson "Data Visualization in R".
(Source: Minka, Murphy.) My neighbor has two children. Assuming that the gender of a child is like a coin flip, it is most likely, a priori, that my neighbor has one boy and one girl, with probability 1/2. The other possibilit... | CommonCrawl |
Why are correlations between -1 and 1?
which is more convenient for calculation, but in my opinion less convenient for understanding. The correlation coefficient will be positive when and usually have the same sign — meaning that larger than average values of go with larger than average values of — and negative when th... | CommonCrawl |
We study the thermal properties of QCD in the presence of a small quark chemical potential $\mu$. Derivatives of the phase transition point with respect to $\mu$ are computed at $\mu=0$ for 2 and 3 flavors of p-4 improved staggered fermions on a $16^3\times4$ lattice. Moreover we contrast the case of isoscalar and isov... | CommonCrawl |
In the introduction of this paper, it is explained that and how the application of a dynamic subrid scale model for turbulence into a large eddy simulation (LES) model corresponds to doing one renormalization step in a renormalization group (RNG) analysis.
However, when implementing the renormalization group into a LES... | CommonCrawl |
Because multiplication is commutative, it may not matter symbolically; however, as the authors mentioned in the article, taking 4 pills a day for 21 days is a lot different from taking 21 pills a day for 4 days. If I want my students to know what multiplication "is," what is the correct explanation?
Your question is re... | CommonCrawl |
We consider crossed product von Neumann algebras arising from free Bogoljubov actions of $\mathbb Z$. We describe several presentations of them as amalgamated free products and cocycle crossed products and give a criterion for factoriality. A number of isomorphism results for free Bogoljubov crossed products are proved... | CommonCrawl |
In this paper we extend recent results on the existence and uniqueness of solutions of ODEs with non-smooth vector fields to the case of martingale solutions, in the Stroock-Varadhan sense, of SDEs with non-smooth coefficients. In the first part we develop a general theory, which roughly speaking allows to deduce exist... | CommonCrawl |
In the Maryland Centrifugal Experiment, the plasma is created in a shaped open-field magnetic configuration. Plasma rotation perpendicular to the magnetic field at supersonic speeds (sonic Mach number larger than unity) is controlled by an externally-applied E .$\times $ B drift. This work documents the centrifugal con... | CommonCrawl |
A) $\alpha$ is an upper bound of $E$.
B) If $\gamma < \alpha$ then $\gamma$ is not an upper bound of $E$.
I do not understand the difference between upper bound and least upper bound. If someone could explain the difference between the two and possibly provide an example, it would be much appreciated. Thanks.
Every lea... | CommonCrawl |
In a graph, a vertex is called an articulation point if removing it and all the edges associated with it results in the increase of the number of connected components in the graph. For example consider the graph given in following figure.
If in the above graph, vertex 1 and all the edges associated with it, i.e. the ed... | CommonCrawl |
Linear transform of jointly distributed exponential random variables, how to identify domain?
Question: let $X,Y$ be independent exponential random variables (with parameter $\lambda$) and let $U = X+Y$, $V = X-Y$. Find the joint distribution of $U,V$.
However, the domain of the joint distribution is not $0< u < \infty... | CommonCrawl |
Syrjälä's network consists of $n$ computers and $n$ connections between them. At the moment it is possible to send a message between any two computers.
Your task is to calculate the number of essential connections: if such a connection is removed from the network, it is not possible to send a message between some two c... | CommonCrawl |
An excellent crop of solutions here! Syed Farhan Iskander of Foxford School School and Community College listed the cubes of every whole number until he got to a cube that was larger than 7163. Then he systematically examined the differences between 7163 and these cubes to find cases where the difference was a cube num... | CommonCrawl |
Maze A has no way out.
Maze B has an exit (solution) to the right of cell 2.
Maze D has an exit up from cell 6.
For example, using Maze D above, if the starting point is cell 9, one possible set of directions to get to the exit would be: right, right, right, right, right, up, up, up.
ok - indicates that there is door t... | CommonCrawl |
The initial value problem for a matrix Riccati differential equation associated with an $M$-matrix is known to have a global solution $X(t)$ on $[0, \infty)$ when $X(0)$ takes values from a suitable set of nonnegative matrices. It is also known, except for the critical case, that as $t$ goes to infinity $X(t)$ converge... | CommonCrawl |
where $a_t$ is the control action at time $t$. To each state $x$, a known reward $r(x)$ is assigned. Actions have no cost. Our objective is to find the sequence of actions so as to maximize the expected reward at a given final time, $\mathbb E[r(x_T)]$. We do not care about rewards before the final time.
I am confused ... | CommonCrawl |
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