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If you have n equilateral triangles, and you want to connect them all to each other at the edges, how many different shapes can you make? Triangles are identical in size and shapes that are rotationally congruent should be not be counted multiple times. Mirror images should be counted as different.
The comment by Blue ... | CommonCrawl |
We show that the low ratios of $\alpha$ elements (Mg, Si, and Ca) to Fe recently found for a small fraction of extremely metal-poor stars can be naturally explained with the nucleosynthesis yields of core-collapse supernovae, i.e., $13-25M_\odot$ supernovae, or hypernovae. For the case without carbon enhancement, the e... | CommonCrawl |
(Primitive root) Let $p$ be a prime and $n > 1$ be a natural number. The set of all the roots $\alpha$ of the polynomial $x^n - 1 \in Z_p[x]$ forms a cyclic group of order $n$, where all $\alpha$ belongs to the decomposition field of $x^n - 1$ over $Z_p$. If $a$ generates the prementioned group then we call $a$ to be t... | CommonCrawl |
In this new article series QuantStart returns to the discussion of pricing derivative securities, a topic which was covered a few years ago on the site through an introduction to stochastic calculus.
Imanol Pérez, a PhD researcher in Mathematics at Oxford University, and an expert guest contributor to QuantStart will m... | CommonCrawl |
(School of Electronic Engineering and Computer Science, Queen Mary University of London, London, U.K.
A novel ultrahigh frequency radio frequency identification reader antenna based on electromagnetic coupling between two open-ended microstrip (MS) meander lines for near-field applications is investigated in this paper... | CommonCrawl |
Model categories are categories with three distinguished classes of morphisms: the weak equivalences, the fibrations and the cofibrations. They provide a natural setting for (homotopy-theory) in an arbitrary category, by mimicking the usual properties of (co)fibrations and weak equivalences in topological spaces.
When ... | CommonCrawl |
Recall from the Riemann-Stieltjes Integrability of Functions on Subintervals with Integrators of Bounded Variation that if $f$ is a function defined on $[a, b]$, $\alpha$ is of bounded variation on $[a, b]$, and $f$ is Riemann-Stieltjes integrable with respect to $\alpha$ on $[a, b]$ then $f$ is also Riemann-Stieltjes ... | CommonCrawl |
where $s$ is the time iteration and $r$ is the location iteration, $x$ is the true location ($x=r\,\Delta x$), and $\alpha$, $\Delta x$, and $\Delta t$ are constants. The $\eta$ values are already solved, so I need to solve for $u(r,s+1)$. However, the solution includes values for $u(r-1,s+1)$ and $u(r+1,s+1)$, which r... | CommonCrawl |
transformation between square and a polygon?
I have a square and a polygon. I want to transform all the points inside this square such that they are mapped inside the polygon. I was trying using scale and rotate matrices but I am not able to come up with anything that is making sense to me. I also googled a lot for som... | CommonCrawl |
I have no idea what this question even means. Are you asking whether there is a mystical process whereby you can evaluate 23! without computation?
But to determine what number is equal to 23!, what kind of process are you looking for that does not involve any arithmetic?
but I am not sure how that would be easier nor w... | CommonCrawl |
9 October. Leonid Petrov (Virginia). Cauchy identities, Yang-Baxter equation, and their randomization.
Abstract. Cauchy type summation identities for various families of symmetric polynomials (with Schur polynomials as the first example) are crucial in bringing exact solvability to various stochastic particle systems i... | CommonCrawl |
Abstract: Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an adjoint. In this paper we prove general adjoint functor theorems for functors between $\infty$-categories. One of our main results is an $\infty$-categorical generalization of Freyd's classical General Adjoint Functor ... | CommonCrawl |
Universality of Wigner Random Matrices - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.
Abstract: We consider $N\times N$ symmetric or hermitian random matrices withindependent, identically distributed entries where the probability distributionfor each mat... | CommonCrawl |
Let $K$ be a non-empty, closed and convex subset of a real Hilbert space $H$. Let $T_i : K \to CB(K), i = 1,2, \ldots, N$, be a finite family of Lipschitz hemicontractive-type mappings with Lipschitz constants $L_i, i=1,2,\ldots, N$, respectively. It is our purpose, in this paper, to introduce a Halpern type algorithm ... | CommonCrawl |
I know kind of a very elementary method to factor this number. Consider the following: $$10^6-1 = (10^3-1)(10^3+1)=9 \times 11 \times (10^2+10+1)(10^2-10+1) = 9 \times 11 \times 111\times 91$$ I would then factor each number individually.
Is there a faster method? The great hint is that this number is a rep unit number... | CommonCrawl |
Transition-region explosive events (EEs) are characterized by non-Gaussian line profiles with enhanced wings at Doppler velocities of 50-150 km/s. They are believed to be the signature of solar phenomena that are one of the main contributors to coronal heating. The aim of this study is to investigate the link of EEs to... | CommonCrawl |
Abstract: Based on a criterion for weak compactness in the $\ell^p$ product of the sequence of Banach spaces $E_i$, $i = 1, 2, \ldots$, we construct a measure of weak noncompactness in this space. It is shown that this measure is regular but not equivalent to the De Blasi measure of weak noncompactness provided the spa... | CommonCrawl |
Gross-Pandharipande-Siebert have shown that 2-dimensional scattering diagrams compute some genus zero Gromov-Witten invariants of log Calabi-Yau surfaces. I will explain that the q-refined 2-dimensional scattering diagrams compute some higher genus Gromov-Witten invariants of log Calabi-Yau surfaces. This result can be... | CommonCrawl |
A sparse matrix is just a matrix that is mostly zero. Typically, when people talk about sparse matrices in numerical computations, they mean matrices that are mostly zero and are represented in a way that takes advantage of that sparsity to reduce required storage or optimize operations.
This is similar to the Dictiona... | CommonCrawl |
Celery — the legendary Pokenom has been spotted in Alexa Forest.
To become the best Pokenom trainer, Bash has arrived at Alexa Forest to capture Celery. After lots of information gathering, Bash was able to draw a map of Alexa Forest, and noted down $K$ sightings of Celery.
Alexa Forest's map is a convex polygon $A$ wi... | CommonCrawl |
Abstract: Coulomb branch chiral rings of $\mathcal N=2$ SCFTs are conjectured to be freely generated. While no counter-example is known, no direct evidence for the conjecture is known either. We initiate a systematic study of SCFTs with Coulomb branch chiral rings satisfying non-trivial relations, restricting our analy... | CommonCrawl |
Bucur, D. and Buttazzo, G. (2009) On the characterization of the compact embedding of Sobolev spaces. arXiv .
Buttazzo, G. and Kawohl, B. (2009) Overdetermined boundary value problems for the $\infty$-Laplacian. arXiv .
Buttazzo, Giuseppe and Wagner, Alfred (2009) On some rescaled shape optimization problems. arXiv . | CommonCrawl |
We consider the problem of obtaining the approximate maximum a posteriori estimate of a discrete random field characterized by pairwise potentials that form a truncated convex model. For this problem, we propose an improved st-MINCUT based move making algorithm. Unlike previous move making approaches, which either prov... | CommonCrawl |
We introduce and analyze symmetric infinite-body optimal transport (OT) problems with cost function of pair potential form. We show that for a natural class of such costs, the optimizer is given by the independent product measure all of whose factors are given by the one-body marginal. This is in striking contrast to s... | CommonCrawl |
Local normal form of a (several complex variable) holomorphic map at a point?
When $m=n=1$, the result is well-known: $F$ is either a constant function, or locally $z\mapsto z^n$. On the other hand, when $F'(0)$ is injective or surjective, then implicit function theorem tells us that $F$ is locally equivalent to $F'(0)... | CommonCrawl |
Brzozowski derivatives are one of the shibboleths of functional programming: if you ask someone about implementing regular expressions, and you get back an answer involving derivatives of regular expressions, then you have almost surely identified a functional programmer.
Again, this is a simple inductive definition. S... | CommonCrawl |
Why do you post answers on math.stackexchange?
As a math student, this is a very helpful resource.
Also, can people do something useful with their "points" earned on the site?
I am needy and insecure and derive validation from the gratitude of strangers.
Because solving mathematical problems is interesting, fun and it ... | CommonCrawl |
Abstract: The distribution of finite time observable averages and transport in low dimensional Hamiltonian systems is studied. Finite time observable average distributions are computed, from which an exponent $\alpha$ characteristic of how the maximum of the distributions scales with time is extracted. To link this exp... | CommonCrawl |
And what are some of the main algorithmic approaches to look at?
Generally, the problems of machine learning may be considered variations on function estimation for classification, prediction or modeling.
In supervised learning one is furnished with input ($x_1$, $x_2$, ...,) and output ($y_1$, $y_2$, ...,) and are cha... | CommonCrawl |
What does the sign that looks like $\geq$ except with the bottom line being sloped mean?
I'm referring to this symbol: $\geqslant$.
No symbol list I've come across mentions it. I saw it in the book Pattern Recognition and Machine Learning by Christopher M. Bishop.
The symbols $\geq$, $\geqslant$ and >=, all mean the sa... | CommonCrawl |
Definition 15.31.1. Let $R$ be a ring and let $I \subset R$ be an ideal.
We say $I$ is a regular ideal if for every $\mathfrak p \in V(I)$ there exists a $g \in R$, $g \not\in \mathfrak p$ and a regular sequence $f_1, \ldots , f_ r \in R_ g$ such that $I_ g$ is generated by $f_1, \ldots , f_ r$.
We say $I$ is a Koszul-... | CommonCrawl |
The subgroup $A_n$ of the symmetric group $S_n$ consisting of all even permutations. $A_n$ is a normal subgroup in $S_n$ of index 2 and order $n!/2$. The permutations of $A_n$, considered as permutations of the indices of variables $x_1,\ldots,x_n$, leave the alternating polynomial $\prod(x_i-x_j)$ invariant, hence the... | CommonCrawl |
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $551,061 house for sale. If he lists it, he will need to spend $5,233 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $21,449. If he... | CommonCrawl |
No polynomial algorithms are known for finding the coefficients of the characteristic polynomial and characteristic equation of a matrix in max- algebra. The following are proved: (1) The task of finding the max-algebraic characteristic polynomial for permutation matrices encoded using the lengths of their constituent ... | CommonCrawl |
The goal of this challenge is to produce a function of n which computes the number of ways to partition the n X 1 grid into triangles where all of the vertices of the triangles are on grid points.
For example, there are 14 ways to partition the 2 x 1 grid, so f(2) = 14 via the following partitions where the partitions ... | CommonCrawl |
Let $\mu \times \nu$ be the product measure of $\mu$ and $\nu$ on $M \times N$ (this is unique since $\mu$ and $\nu$ are $\sigma$-finite) and consider the space $L^1(M \times N, \mu \times n)$ as well.
Let $T : L^1(M, \mu) \times L^1(N, \nu) \to L^1(M \times N, \mu \times \nu)$ be defined for all $f \in L^1(M, \mu)$ an... | CommonCrawl |
An approach via holonomy groups is often a fruitful way to understand geometric structures, and there has thus been a long established theoretical pursuit to explore the geometric implications of reduced holonomy and to understand the possible holonomy groups for a given geometric structure. While in particular the hol... | CommonCrawl |
Abstract : We study the problem of realizing a given graph as an $\alpha$-complex of a set of points in the plane. We study the realizability problem for trees and $2$-trees. In the case of $2$-trees, we confine our attention to the realizability of graphs as the $\alpha$-complex minus faces of dimension two; in other ... | CommonCrawl |
Let $f=(f_1,..,f_n)$ be a system of $n$ complex homogeneous polynomials in $n$ variables of degree $d$. We call λ ∈ $\mathbb C$ an eigenvalue of $f$ if there exists a nonzero $v$ ∈ $\mathbb C$ with $f(v)=$ λ $v$, generalizing the case of eigenvalues of matrices ($d=1$). We derive the distribution of λ when the $f_i$ ar... | CommonCrawl |
just want somebody to help me verify if I'm doing using Newton-Raphson method correctly by checking the result of an equation.
I'm trying to find the zero of f(x) with initial guess $x_0 = 1.5$, and by applying the method TWICE, I got result 2.0466.
Could somebody please help me verify my answer is correct?
Your answer... | CommonCrawl |
Lemma 5.3.4. Let $X \to Z$ and $Y \to Z$ be continuous maps of topological spaces. If $Z$ is Hausdorff, then $X \times _ Z Y$ is closed in $X \times Y$.
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 followi... | CommonCrawl |
Résumé: The main goal of this paper is to present a methodology to design interval observers for discrete-time linear switched systems affected by bounded, but unknown disturbances. Two design techniques are presented. The first one requires that the observation error dynamics are nonnegative while the second one relax... | CommonCrawl |
is randomness lost? As in, is the computational cost to guess the ciphertext from secretKey ⊕ (secretKey << 1) lower than the cost to guess secretKey?
While bmm6o's answer is correct, I want to give another angle onto things.
If $\ll$ denotes logical shift (i.e. fill up on the right with 0 instead of what was pushed ou... | CommonCrawl |
Question: Are there examples of interesting classes of graphs whose treewidth is not bounded by a constant, but by a low-growing function?
Are there well known graph classes with treewidth $O(\log\log n)$?
Are there well known graph classes with treewidth $O(\log n)$?
I would also be interested in classes of graphs wit... | CommonCrawl |
However, despite not having a horizontal asymptote, real logarithmic functions are slowly varying at infinity. A real-valued function [math]f[/math] is slowly varying at infinity if for all [math]a>0[/math],... A 'horizontal asymptote' is a horizontal line that another curve gets arbitrarily close to as $\,x\,$ approac... | CommonCrawl |
What should be the title for this problem?
The equation $\sin\theta = k$ is satisfied by two values of $\theta$ of the form $\alpha$ & $\pi - \alpha$ in the interval $0 \leq \theta \leq 2\pi$ .
Ok. But when I read the result for $\cos\theta = k$, the interval was given $-\pi < \theta \leq \pi$ .
Now, I want to know wha... | CommonCrawl |
So far, I have figured out that the lower limit on $z$ is $0$, and the lower limit on $y$ is also $0$. How would one go about calculating the upper limit on z and y as well as the limits for $x$?
I believe there is another question similar to this, but it does not explain how to calculate the plane boundaries, which is... | CommonCrawl |
There are two families of non-BPS bi-spinors in the perturbative spectrum of the nine dimensional heterotic string charged under the gauge group $SO(16)\times SO(16)$. The relation between these perturbative non-BPS states and certain non-perturbative non-BPS D-brane states of the dual type I$^\prime$ theory is exhibit... | CommonCrawl |
Do these two definitions of hypersurfaces coincide?
How to show that there is a unique unbiased estimator of $p$?
$f,g$ coincide on $\mathbb N$ iff $f(x)=g(x)$ a.e.
How to prove that Frechet derivative exists and coincides with the Gateau derivative?
$X$ conditioned on $M$ is normally distributed, is $X$ also?
For whic... | CommonCrawl |
In the forward kinematics problem, the transformation describing the position and orientation of a tool, or end effector, is determined by known joint variables. Joint variables are associated with a particular axis, or joint, and are denoted by qi. The two common types of joints used in robot manipulators are revolute... | CommonCrawl |
Abstract: Using a single functional form which is able to represent several different classes of statistical distributions, we introduce a preliminary study of the ferromagnetic Ising model on the cubic lattices under the influence of non-Gaussian local external magnetic field. Specifically, depending on the value of t... | CommonCrawl |
Note that for every value of $x$, the equation $y=x^3$ gives only one value of $y$. This means that every $x$ is paired with only one value of $y$. Thus, the given relation defines $y$ as a function of $x$. The value of $x$ can be any real number so the domain is $(-\infty, +\infty)$. The value of $x^3$ can be any real... | CommonCrawl |
We present results from an analysis of stellar population parameters for 7132 galaxies in the 6dFGS Fundamental Plane (FP) sample. We bin the galaxies along the axes, $v_1$, $v_2$, and $v_3$, of the tri-variate Gaussian to which we have fit the galaxy distribution in effective radius, surface brightness, and central ve... | CommonCrawl |
Hi, Is it true that all irreducible unitary representations of a residually finite group are finite dimensional?
Actually I suspect that it is not, but cannot find any example.
As Mark Sapir pointed out, this is of course false. There are tons of infinite dimensional irreducible representations of residually finite gro... | CommonCrawl |
We've shown that deep linear networks — as implemented using floating-point arithmetic — are not actually linear and can perform nonlinear computation. We used evolution strategies to find parameters in linear networks that exploit this trait, letting us solve non-trivial problems.
Neural networks consist of stacks of ... | CommonCrawl |
# Numerical instability occurs for very low inputs.
# looking at the simulations for many parameter sets.
# A more principled minimum value would be better.
# which differs from the original implementation by Izhikevich.
# to avoid at all costs.
However, I cannot seem to get a grasp of how these functions work and what... | CommonCrawl |
First Construction of Brownian Motion, convergence in $C[0,\infty)$, $D[0,\infty)$, Donsker's invariance principle, Properties of the Brownian motion, continuous-time martingales, optional sampling theorem, Doob-Meyer decomposition, stochastic integration, Ito's formula, martingale representation theorem, Girsanov's th... | CommonCrawl |
The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and $\mathcal I$-convergence to weak $\mathcal I$-convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statist... | CommonCrawl |
Abstract: Deep convolutional neural networks (DCNN) have enjoyed great successes in many signal processing applications because they can learn complex, non-linear causal relationships from input to output. In this light, DCNNs are well suited for the task of sequential prediction of multidimensional signals, such as im... | CommonCrawl |
A generalization of the original Diffie-Hellman key exchange in $(\mathbb Z$∕$p\mathbb Z)$* found a new depth when Miller and Koblitz suggested that such a protocol could be used with the group over an elliptic curve. In this paper, we propose a further vast generalization where abelian semigroups act on finite sets.... | CommonCrawl |
The distance between neighbor sticks are unknown and for sure smaller than half the length of the sticks themselves as seen in the diagram. Though it could be any arbitrary distance smaller than half the length of a stick.
By just moving $\mathbf 4$ sticks or fewer among them, can you form $\mathbf 8$ equilateral trian... | CommonCrawl |
View from Cerro Aconcagua (highest point in South America, 22,841 feet, 8 February 1996).
Hagedorn: Classification and Normal Forms for Avoided Crossings of Quantum Mechanical Energy Levels.
figures required for above paper.
Hagedorn and Joye: Landau-Zener Transitions through Small Electronic Eigenvalue Gaps in the Bor... | CommonCrawl |
Now we don't need to consider $1\times 1$ or $1\times 2$ any longer as we have found the smallest rectangle tilable with copies of T plus copies of $1\times 1$ and $1\times 2$.
There are at least 10 more solutions. I tagged it 'computer-puzzle' but you can certainly work some of these out by hand. The larger ones might... | CommonCrawl |
This page is intended to be a part of the Numerical Analysis section of Math Online. Similar topics can also be found in the Linear Algebra section of the site.
As we have already seen, if we can write a square $n \times n$ matrix $A$ as a product of two matrices, $L$ and $U$ where $L$ is a lower triangular matrix with... | CommonCrawl |
We consider the scattering of a beam particle with energy $E$, momentum $p$ and charge $ze$ off a charge distribution $\rho (x)$ of total charge $Ze$. We will consider the target to be much heavier than the probe, so that we can neglect the recoil and the outgoing energy of the scattered particle is the same as its inc... | CommonCrawl |
Apophenia version 1.0 is out!
What I deem to be the official package announcement is this 3,000 word post at medium.com, which focuses much more on the why than the what or how. If you follow me on twitter then you've already seen it; otherwise, I encourage you to click through.
This post is a little more on the what. ... | CommonCrawl |
Titre thèse : Estimation d'une densité à plusieurs variables sous l'hypothèse de la structure d'indépendance.
In this paper, we address the problem of estimating a multidimensional density $f$ by using indirect observations from the statistical model $Y=X+\varepsilon$. Here, $\varepsilon$ is a measurement error indepen... | CommonCrawl |
9 Correct notation for "for all positive real $c$"
7 Why is every $p$-norm convex?
7 What is wrong with this argument that closed interval [0, 1] is not compact?
5 How to prove that if $f$ is continuous a.e., then it is measurable.
5 Is there any proof that there doesn't exist a circulant Hadamard matrix of size $8 \ti... | CommonCrawl |
If you have ever worked w/ financial data you have probably seen an unbalanced dataset. When you deal w/ loan defaults or fraud data, the examples of non-defaults and non-fraud far outweigh opposite.
In this scenario, you want to build a classifier that can identify fraudulent transactions in credit card histories. For... | CommonCrawl |
This page is a summary of the work carried out on the Career Integration Grant project KineticCF which run from 2012 to 2015.
The work of this project focuses on the rigorous mathematical development of kinetic theory and the applications of its techniques to the study of models of population dynamics and cell fragment... | CommonCrawl |
How to annoy Your Physics Professor!
I got the idea of this post, from the article - Things to do to Annoy Your Physics Professor", was written by some guy of University of Maryland. If you want to try them out, you do so at your own risk.
1. At some time during every lecture, slowly lift yourself up out of your chair ... | CommonCrawl |
A cube has 24 orientations. By rolling the cube on its edge within the perimeter of a $2\times4$ rectangle 3 times, all 24 orientations are reached and the next roll returns the cube to both the starting position and starting orientation.
I've called the 24-node graph the "rolling cube graph". It's the bipartite double... | CommonCrawl |
Palladium 103 is a newer sealed source that is used in place of 125I, particularly for permanent interstitial prostate implants. It is coated onto graphite pellets and encapsulated within a titanium shell as seeds.
103Pd is a pure gamma emitter, decaying through electron capture to 103Rh. Gamma energies range from 20 -... | CommonCrawl |
Volumes of n-balls: what is so special about n=5?
How to define a differential form on a fractal?
Why is Euler's Gamma function the "best" extension of the factorial function to the reals?
Why do we care about $L^p$ spaces besides $p = 1$, $p = 2$, and $p = \infty$?
Can we cover the unit square by these rectangles?
Geo... | CommonCrawl |
Abstract: Legacy codes in computational science and engineering have been very successful in providing essential functionality to researchers. However, they are not capable of exploiting the massive parallelism provided by emerging heterogeneous architectures. The lack of portable performance and scalability puts them ... | CommonCrawl |
The consecutive odds ratios of the binomial $(n, p)$ distribution help us derive an approximation for the distribution when $n$ is large and $p$ is small. The approximation is sometimes called "the law of small numbers" because it approximates the distribution of the number of successes when the chance of success is sm... | CommonCrawl |
You want to buy $n$ items from a shop. You can visit the shop several times and you don't have to buy all the items together.
The prices for the items are given in cents. When you are at the cashier, the total price for the items will be rounded to the nearest multiple of 5. This may allow you to save money by visiting... | CommonCrawl |
What is the Weightage of Inductance in GATE Exam?
Total 1 Questions have been asked from Inductance topic of Electric Circuits subject in previous GATE papers. Average marks 2.00.
Two identical coils each having inductance L are placed together on the same core. If an overall inductance of $\alpha$L is obtained by inte... | CommonCrawl |
Does anyone of any connections that have been made between the notions of cybernetics, autopoeitic systems, or even George Spencer Browns Laws of Form, and homotopy theory or category theory?
I suppose right now such connections might be somewhat tenuous, as the latter is pretty philosophical, and the former is pretty ... | CommonCrawl |
Complex structure on the six dimensional sphere from a spontaneous symmetry breaking Journ. Math. Phys. 56, 043508-1-043508-21 (2015) journal version, current arXiv version.
Since this is obviously an important and groundbreaking result (if true), published in a physical journal, I am interested whether it is accepted ... | CommonCrawl |
Does integrating a finite number over infinite time equal infinity?
Hi, I was wondering, if I integrate a finite number such as 3 over an infinite amount of time, would the result be infinity? Or does it simply approach infinity but never reach infinity? Thanks.
Or does it simply approach infinity but never reach infin... | CommonCrawl |
... This paper presents the development of a physics-based multiple-input-multiple-output algorithm for real-time feedback control of snowflake divertor (SFD) configurations on the National Spherical Torus eXperiment Upgrade (NSTX-U). A model of the SFD configuration response to applied voltages on the divertor control... | CommonCrawl |
Using the "enthalpy-based thermal evolution of loops" (EBTEL) model, we investigate the hydrodynamics of the plasma in a flaring coronal loop in which heat conduction is limited by turbulent scattering of the electrons that transport the thermal heat flux. The EBTEL equations are solved analytically in each of the two ... | CommonCrawl |
I was told shrouded propellers are more efficient becuase tip vorticies are eliminated by the wall which would imply no induced drag but apparently that is wrong Do ducted fans eliminate induced drag? therefore I've been trying to figure out why they are still more efficient than an open propeller despite still having ... | CommonCrawl |
What crossed over at the electroweak crossover?
It's been known for quite some time now that the electroweak "transition" in the early universe is first-order for a Higgs mass of less than about 75 GeV, but for a larger Higgs mass (including the 125 GeV mass that appears to describe our universe), the transition goes a... | CommonCrawl |
I'm confused about the notation and don't understand what the zeroes inside the bracket mean. This is mentioned in context of the initial conditions for a time-dependent RG analysis, so does the $0$ represent $t = 0$ ? If so, why does the statement follow from $\alpha_k$ being real?
$|\alpha_k>$ is the usual coherent s... | CommonCrawl |
mxnet.gluon.contrib Contrib neural network module.
The Gluon Contrib API, defined in the gluon.contrib package, provides many useful experimental APIs for new features. This is a place for the community to try out the new features, so that feature contributors can receive feedback.
In the rest of this document, we list... | CommonCrawl |
Green's conjecture says that vanishing syzgies of a canonical curve is equivalent to the non-existence of certain linear series on the curve. Turning things around, we might hope that many syzygies imply the existence of many linear systems. In this talk I will survey our knowledge on syzygies of canonical curves and t... | CommonCrawl |
I believe I understand the primary structure, I am not sure what's the difference between secondary and tertiary structure. Tertiary structure seems to be 3d structure of a polypeptide but I am not at all clear about the secondary structure.
Proteins are made up of long chains of amino acids covalently joined together.... | CommonCrawl |
Abstract: Recently a broad class of superconformal inflationary models was found leading to a universal observational prediction $n_s=1-2/N$ and $r=12/N^2$. Here we generalize this class of models by introducing a parameter $\alpha$ inversely proportional to the curvature of the inflaton Kahler manifold. In the small c... | CommonCrawl |
where $x = (x^1,\ldots,x^n)$, $y = (y^1,\ldots,y^n)$ and each $x^i$ and $y^i$ are $O(\log n)$ bit strings. In [Raz, McKenzie FOCS 1997] and [Göös, et al. FOCS 2015], the simulation algorithm is implemented for functions composed with the Indexing gadget, where the size of the gadget is polynomial in the input length of... | CommonCrawl |
A snail slithers around on a coordinate grid. At what position does he finish?
Next, $y=4x+6$ has gradient $4$ and $y$-intercept $6$ - so it slopes up steeply and crosses the $y$ axis at $(0,6)$.
You can already see that the height of the triangle is $8$ units, from $-2$ to $6$ on the $y$ axis.
Suppose $y=-2$ and $y=4x... | CommonCrawl |
Klimina L. A., Lokshin B. Y.
An autonomous dynamical system with one degree of freedom with a cylindrical phase space is studied. The mathematical model of the system is given by a second-order differential equation that contains terms responsible for nonconservative forces. A coefficient $\alpha$ at these terms is sup... | CommonCrawl |
When the axiom of choice is not available, the concept of cardinality is somewhat more subtle, and there is in general no fully satisfactory solution of the cardinal assignment problem. Rather, in ZF one works directly with the equinumerosity relation.
In ZF, the axiom of choice is equivalent to the assertion that the ... | CommonCrawl |
subject to the requirements that $0 \le i \le j \le n$ and $j \le i+w$. Or, in other words, I want to find the sequential window of width at most $w$ such that the sum of the numbers in the window is maximized.
Is there an $O(n)$ time algorithm for this task? Or, what is the most efficient algorithm for this task?
Ther... | CommonCrawl |
[1507.00013] Symmetry Restored in Dibosons at the LHC?
Title:Symmetry Restored in Dibosons at the LHC?
Abstract: A number of LHC resonance search channels display an excess in the invariant mass region of 1.8 - 2.0 TeV. Among them is a $3.4\,\sigma$ excess in the fully hadronic decay of a pair of Standard Model electro... | CommonCrawl |
Perhaps it will be impossible to come to a consensus about this, but I'd like to know what people's preferences are as to using infinity vs. $\infty$ vs. oo vs. ∞ when talking about (infinity,n)-categories and the like. It's relevant because I'd ideally like to be able to find questions/answers that mention (infinity,n... | CommonCrawl |
Christiane Neuber, June Uebeler, Thomas Schulze, Hannieh Sotoud, Ali El-Armouche and Thomas Eschenhagen.
Guanabenz Interferes with ER Stress and Exerts Protective Effects in Cardiac Myocytes.. PloS one 9(6):e98893, January 2014.
Abstract Endoplasmic reticulum (ER) stress has been implicated in a variety of cardiovascul... | CommonCrawl |
"Skew-symmetric differentiation matrices and spectral methods on the real line"
A most welcome feature of orthogonal bases employed in spectral methods is that their differentiation matrix is skew symmetric, since this makes energy conservation automatic in conservative time-evolving problems. A familiar example is giv... | CommonCrawl |
This seminar is supposed to be a contemporary introduction to modern type theory that is suitable for mathematicians needs, in the sense that this theory forms a foundation of mathematics and the language for theorems formulation and their proofs.
The seminar will focus on 1) direct proof-term construction in cubical t... | CommonCrawl |
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