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Notice that, while the graph of a rational function will never cross a vertical asymptote, the graph may or may not cross a horizontal or slant asymptote. Also, although the graph of a rational function may have many vertical asymptotes, the graph will have at most one horizontal (or slant) asymptote.... The graph of a... | CommonCrawl |
Abstract: We consider the map of three-dimensional $\mathcal N=4$ superfields to the $\mathcal N=3$ harmonic superspace. The left and right representations of the $\mathcal N=4$ superconformal group are constructed on $\mathcal N=3$ analytic superfields. These representations are convenient for describing $\mathcal N=4... | CommonCrawl |
Abstract: We use Projected Entangled Pair States (PEPS) to study topological quantum phase transitions. The local description of topological order in the PEPS formalism allows us to set up order parameters which measure condensation and deconfinement of anyons, and serve as a substitute for conventional order parameter... | CommonCrawl |
There is a connection between type theory and logic, where types are propositions, and type checking performs the role of checking whether a proof of a proposition is correct (Curry-Howard isomorphism).
But I can imagine a different connection: There seems to be a similarity between type checking and checking whether a... | CommonCrawl |
Abstract: Consider the following asynchronous, opportunistic communication model over a graph $G$: in each round, one edge is activated uniformly and independently at random and (only) its two endpoints can exchange messages and perform local computations. Under this model, we study the following random process: The fi... | CommonCrawl |
In this paper at the at the beginning of the last paragraph on p.2 it is said, that the Euler equations, which are an infinite Reynolds number limit of the Navier-Stokes equations, arise as an RNG fixed point. This fixed point is said to be non-unique for a system witn N mixing species, because it can be choosen from a... | CommonCrawl |
I have a number of independent variables $x_1,x_2,...,x_m$ and a dependent variable $y$. My dataset contains some million of rows.
Bear with me if my wording is not precise here, and you are welcome to correct me! I assume that there is no multicollinearity in my data, i.e. $x_i$ cannot be explained by $x_j$ for $i\neq... | CommonCrawl |
Why is the semiclassical approximation of the abelian Chern-Simons theory exact?
**Group structure** in Chern-Simons theory?
We know that the common cases, $A=A^a T^a$ is the connection as a Lie algebra valued one form. $T^a$ is the generator of the Lie group.
The well-known case is the well-defined SU(2) C-S theory an... | CommonCrawl |
Abstract: We discovered the >100 GeV $\gamma$-ray source, HESS J1713-381, apparently associated with the shell-type supernova remnant (SNR) CTB 37B, using HESS in 2006. In 2007 we performed X-ray follow-up observations with Chandra with the aim of identifying a synchrotron counterpart to the TeV source and/or thermal e... | CommonCrawl |
Talk given at meeting of New Zealand Statistical Association and International Association for Statistical Computing (11-14 December 2017), Auckland, New Zealand.
It is always a good idea to plot your data before fitting any models, making any predictions, or drawing any conclusions. But how do you actually plot data o... | CommonCrawl |
What fraction of knots are ribbon knots?
Q. Among prime knots of crossing number $n$ (OEIS A002863), what is the fraction that are ribbon knots, as $n \to \infty$?
Browse other questions tagged knot-theory or ask your own question.
What are the points of Spec(Vassiliev Invariants)?
Is a generic link diagram semi-adequa... | CommonCrawl |
This page is about the orbit of a group action. For other uses, see Definition:Orbit.
Let $G$ be a group acting on a set $X$.
That is, $\Orb x = G * x$.
Thus the orbit of an element is all its possible destinations under the group action.
From Group Action Induces Equivalence Relation, $\mathcal R$ is an equivalence re... | CommonCrawl |
Mudakavi, JR and Ramaswamy, YS (1986) Extraction-spectrophotometric determination of traces of mercury(II) with bromide and Rhodamine 6G. In: Journal of the Indian Institute of Science, 66 (3). pp. 155-162.
A very sensitive method for the detn. of Hg(II) after extn. of its bromide-Rhodamine 6G complex into benzene was ... | CommonCrawl |
How many ways can you find to put operation signs ($+$, $-$, $\times$, $\div$) between the digits make $100$?
Working systematically. Practical Activity. Resourceful. Interactivities. Visualising. Generalising. Handling data. Factors and multiples. Resilient. Curious. | CommonCrawl |
Abstract: Douglass B. Morris announced in 1970 that it is consistent with ZF that "For every $\alpha$, there exists a set $A_\alpha$ which is the countable union of countable sets, and $\mathcal P(A_\alpha)$ can be partitioned into $\aleph_\alpha$ non-empty sets". The result was never published in a journal, and seems ... | CommonCrawl |
We study numerical integration of $q$-times differentiable functions on $\mathbf R^d$ for a probability measure that is self-similar with respect to $m$ affine contraction mappings $S_1,\dots,S_m$ on $\mathbf R^d$ and corresponding probability weights $\rho_1,\dots,\rho_m$. Under mild conditions on the contractions we ... | CommonCrawl |
Given a finite set $E$, a subset $D\subseteq E$ (viewed as a function $E\to \mathbb F_2$) is orthogonal to a given subspace $\mathcal F$ of the $\mathbb F_2$-vector space of functions $E\to \mathbb F_2$ as soon as $D$ is orthogonal to every $\subseteq$-minimal element of $\mathcal F$. This fails in general when $E$ is ... | CommonCrawl |
I got this problem from Rustan Leino, who got it from Mariela Pavlova.
A room has 100 light switches, numbered by the positive integers 1 through 100. There are also 100 children, numbered by the positive integers 1 through 100. Initially, the switches are all off. Each child $k$ enters the room and changes the positio... | CommonCrawl |
1.7 Obtain the transfer function $E_0(s)/E_i(s)$.
1.8 Derive the transfer function of the following systems.
1.9 Obtain the TF of the following systems.
1.10 A Solenoid valve is shown in the figure below. The coil has the electric resistance of $4\Omega$ and an inductance of 0.6H and produce the electromagnetic force $... | CommonCrawl |
How many non-isomorphic permutation selections are on an arbitrary N x N square matrix with rotations applied?
On a square $N \times N$ grid, select exact $N$ cells that satisfy condition: only one cell selected in same row and column. How many solutions will be? The answer is very simple: $N!$.
How many non-isomorphic... | CommonCrawl |
In this paper we first introduce a space of homogeneous type X, and we consider a kind of generalized upper half-space X $\times$ (0, $\infty$). We are mainly concerned with some inequalities in terms of Carleson measures or in terms of certain maximal operators with respect to general approach regions in X $\times$ (0... | CommonCrawl |
The area of a square is calculated using the following forumla: $$ Area = L \times H $$ In this equation, \(L\) is the length of the square and \(H\) is the height of the square. You may notice that this formula is the same as the formula used to calculate the area of a rectangle. The difference is that a square is a s... | CommonCrawl |
Chin-San Liu, Jui-Chih Chang, Shou-Jen Kuo, Ko-Hung Liu, Ta-Tsung Lin, Wen-Ling Cheng and Sheng-Fei Chuang.
Delivering healthy mitochondria for the therapy of mitochondrial diseases and beyond.. The international journal of biochemistry & cell biology, May 2014.
Abstract Mitochondrial transfer has been demonstrated to ... | CommonCrawl |
I know such triplet is determined by the formula of characterist exponent and is unique. So, such triplet exists, because for each Lévy process there is such triplet. I'd like to make explicit each term of the triplet but I feel confused about it.
To obtain this, I was thinking the triplet is given by $(r,t,\pi),$ wher... | CommonCrawl |
And I'd like to verify the determinant is not zero.
Vandermonde matrix, conic section - five points ... and so on.
could recommend any program or website which calculate determinant of matrix?
$$ $$ Thank you for your attention to this matter.
I know the fact(statement) "five points decide conic section UNIQUELY"
For $... | CommonCrawl |
in eqns 3,5 the state eqn has the mean removed.
However I have looked at several implementations of Kalman Filters for state space models I haven't seen this "de-meaned" version any where?
Q1.) From a theoretical point of view are the two representations equivalent? Clearly they are if $\mu=0$ but more generally for no... | CommonCrawl |
The problem/solution of counting the number of (primitive) necklaces is very well known.
But what about results giving sufficient conditions for a given necklace be primitive? For example, in the binary case, a necklace of length $N$ (00..00100..01) will be primitive whenever the number $M$ of zeros between the two 1's... | CommonCrawl |
I understand that we use random effects (or mixed effects) models when we believe that some model parameter(s) vary randomly across some grouping factor. I have a desire to fit a model where the response has been normalized and centered (not perfectly, but pretty close) across a grouping factor, but an independent vari... | CommonCrawl |
We consider the behaviour of fermions in the background of instanton-anti\-instanton type configurations. Several different physics problems, from the high energy electroweak interactions to the study of vacuum structure of QCD and of large orders of perturbation theory are related to this problem. The spectrum of the ... | CommonCrawl |
Abstract: The methods for parametric identification of fractional differential operators with $\alpha \in (1, 2)$ degree according to instantaneous values of experimental observations based on the Barrett differential equation example are suggested. The methods are based on construction of the linear parametrical discr... | CommonCrawl |
Is there a way to convert an array of values $(x_i,y_i,z_i), i=1,\ldots,n$ to a density plot instead of a ListPointPlot3D?
I don't know if this is duplicated, but somehow, I cannot seem to just use ListDensityPlot3D?
Hard to know exactly what you want without the explicit data, but maybe you'd like to bin the data?
Not... | CommonCrawl |
I will be implementing nodal discontinuous Galerkin method soon, and having done this before I know the basic indexing arrays I will need to compute, given a mesh and polynomial data.
The problem I ran into in previous code were subtle mistakes I made in computing things like interior/exterior trace indexing. Problems ... | CommonCrawl |
Started work on a page on Bilinear regression.
Interesting. What's the relationship between bilinear regression and the "error in variables" problem?
Hi Jan, I can't access that link, but I found this on wikipeida. Assuming it's talking about the same thing, I think they're talking about two different problems. One of ... | CommonCrawl |
A set for which it is hard to determine whether or not it is countable.
Why pi-systems and Dynkin/lambda systems? On the relative merits of approaches in measure theory.
Why is the harmonic oscillator so important? (pure viewpoint sought). How to motivate its role in Getzler's work on Atiyah-Singer?
Closed geodesics in... | CommonCrawl |
My takeaways from 8th lecture of stanford machine learning course.
Previous lecture concluded with deriving a dual problem(maximize W($\alpha$) w.r.t $\alpha$ within 2 constraints) for optimal margin classifier and noting that using SVM prediction depends only upon the inner product of input variable with those in the ... | CommonCrawl |
Seems some L t rominoes have developed a punk attitude and feel they have something to prove because people always play with dominoes instead. They are even jealous of I trominoes, who can try to pass for tall dominoes.
One L of a tromino has devised a caper that might at last gain some notoriety, or at least draw so... | CommonCrawl |
Abstract : Let $k\ge 2$ be an integer and $T_1,\ldots, T_k$ be spanning trees of a graph $G$. If for any pair of vertices $(u,v)$ of $V(G)$, the paths from $u$ to $v$ in each $T_i$, $1\le i\le k$, do not contain common edges and common vertices, except the vertices $u$ and $v$, then $T_1,\ldots, T_k$ are completely ind... | CommonCrawl |
I will consider a variant of the Navier-Stokes equations, where the classical Laplacian is substituted by a fractional Laplacian $-(-\Delta)^\alpha$. I will present two results. In the hypodissipative case, i.e. when $\alpha$ is sufficiently small, in a joint work with Maria Colombo and Luigi De Rosa we show that Leray... | CommonCrawl |
where $I^\bullet $ is bounded below and consists of injective objects, and $\alpha $ is a quasi-isomorphism. Any two morphisms $\beta _1, \beta _2$ making the diagram commute up to homotopy are homotopic.
Proof. This follows from Remark 13.18.5. We also give a direct argument here.
In order to prevent bots from posting... | CommonCrawl |
Current practice for analysing functional neuroimaging data is to average the brain signals recorded at multiple sensors or channels on the scalp over time across hundreds of trials or replicates to eliminate noise and enhance the underlying signal of interest. These studies recording brain signals non-invasively using... | CommonCrawl |
I'm mostly interested in high-dimensional convex geometry and its interplay with quantum information theory.
24 Is the rectangular function a convolution of $L^1$ functions?
20 What's a nice argument that shows the volume of the unit ball in $\mathbb R^n$ approaches 0? | CommonCrawl |
What is an appropriate strategy for splitting the dataset?
X_train is randomly split into a training and a test set 10 times (n_iter=10). Each point on the training-score curve is the average of 10 scores where the model was trained and evaluated on the first i training examples. Each point on the cross-validation scor... | CommonCrawl |
In occasion of the 1998 ICM in Berlin, B. Dubrovin conjectured an intriguing connection between the enumerative geometry of a Fano manifold $X$ with algebro-geometric properties of exceptional collections in the derived category $\mathcal D^b(X)$. Under the assumption of semisimplicity of the quantum co- homology of $X... | CommonCrawl |
1.First, draw a rectangle. In which you imagine your circle or ellipse to be fitting in. 2.Next, mark the mid-points of all four sides. 3.Keeping in mind that the sides are tangents and mid-points are where tangents meet the curve start to draw curve near the four midpints. 4.You'll see a rough ellipse emerging.... To ... | CommonCrawl |
I am reading here, page 5 that d' (d-prime) does not vary with criterion (in contrast to hit rate for instance which does vary with criterion, and which can be a biased measure of a subject's perception).
However, if we think of a subject that always answers "yes" when asked if a stimuli was present, even if not, then ... | CommonCrawl |
Let $S$ be a finite or countably infinite set of states. Any stochastic matrix with rows and columns indexed by $S$ is the transition matrix of some Markov chain with state space $S$. The transition behaviors of Markov chains are thus as varied as the matrices. It is helpful to set up terminology to discuss some of the... | CommonCrawl |
Abstract: Preparing and certifying bound entangled states in the laboratory is an intrinsically hard task, due to both the fact that they typically form narrow regions in the state space, and that a certificate requires a tomographic reconstruction of the density matrix. Indeed, the previous experiments that have repor... | CommonCrawl |
The state of the art of non-linearity is to use rectified linear units (ReLU) instead of sigmoid function in deep neural network. What are the advantages?
I know that training a network when ReLU is used would be faster, and it is more biological inspired, what are the other advantages? (That is, any disadvantages of u... | CommonCrawl |
The discovery of the Higgs boson at 126 GeV seems to imply masses in the multi-TeV regime for the simplest constrained SUSY models. Such a heavy supersymmetric spectrum is somewhat at odds with the naturalness criterion. Moreover, in such a framework it is impossible to obtain the correct value of $(g-2)_\mu$. By const... | CommonCrawl |
We all know that space is about going really fast. We also know that what matters in a collision isn't really absolute speed, but relative velocity. (Two cars with matched speeds on a highway touching each other doesn't necessarily lead to large damage, but if one of them was standing still, it probably would.) A large... | CommonCrawl |
The work in our lab uses the tools of synthetic medicinal chemistry and chemical biology to develop new tools for studying therapeutically important protein-protein interactions. Our work currently focuses on two classes of protein-protein interactions: the nuclear receptor/steroid receptor coactivator interaction and ... | CommonCrawl |
Abstract: The first mixed problem with the Dirihlet homogeneous boundary-value condition and a finite initial function is considered for a certain class of second-order anisotropic doubly nonlinear parabolic equations in a cylindrical domain $D=(0,\infty)\times\Omega$. Upper estimates characterizing the dependence of t... | CommonCrawl |
In the AdS/CFT context, black holes are dual to ensembles of ``heavy'' CFT states whose conformal dimension scales as the central charge. The Strominger--Vafa black hole, which admits an AdS$_3 \times$ S$^3$ decoupling limit and a dual description in terms of a two-dimensional CFT, provides an excellent model to study.... | CommonCrawl |
We report on new results concerning the global well-posedness, dissipativity and attractors for the quintic wave equations in bounded domains of $\mathbb R^3$ with damping terms of the form $(-\Delta _x)^\theta \partial _t u$, where $\theta =0$ or $\theta =1/2$. The main ingredient of the work is the hidden extra regul... | CommonCrawl |
A successor ordinal, by definition, is an ordinal $\alpha$ that is equal to $\beta + 1$ for some ordinal $\beta$.
There are no ordinals between $\beta$ and $\beta + 1$.
The union $\bigcup \beta$ can be thought of as an inverse successor function, because $\bigcup ( \beta + 1 ) = \beta$. All limit ordinals are equal to ... | CommonCrawl |
Why did no student correctly find a pair of $2\times 2$ matrices with the same determinant and trace that are not similar?
Is there a symbol for "taking a derivative of something"?
+10 Is there a function that doesn't have a limit at infinity but its derivative does?
+10 Adjoints of operators between different Hilbert ... | CommonCrawl |
I was recently invited to a wedding of a friend, where I had the pleasure to meet the the 4-year old Benjamin1 who was fascinated by numbers and arithmetic. Sharing and often repeating the laments of Paul Lockhardt, I was eager to show him some aspects of mathematics, that are fun to explore and not commonly taught in ... | CommonCrawl |
I am running a mesh independence study. I start with Mesh 1 and proceed up to Mesh 4, each time doubling the number cells in the mesh. In parallel, I am comparing my computational results to experimental data. M. 1 shows poor results. M. 2 shows a significant improvement and a good match to experimetnal results. M. 3 a... | CommonCrawl |
Random constraint satisfaction problems encode many interesting questions in random graphs such as the chromatic and independence numbers. Ideas from statistical physics provide a detailed description of phase transitions and properties of these models. I will discuss the question of the number of solutions to random r... | CommonCrawl |
55 * \brief An implementation of the Krivodonova slope limiter.
124 * used in all dimensions.
128 * limiter can be applied to any 1d or tensor product of 1d basis functions.
136 * all symmetric pairs of coefficients are left unchanged, i.e.
416 * would need to be stored in the DataBox).
420 * fewer coefficients we have... | CommonCrawl |
As $n \rightarrow \infty$ the exact order of relative widths of classes $W^r_1$ of periodic functions in the space $L_1$ is found under restrictions on higher derivatives of approximating functions.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 10, pp 1652-1662.
Citation Example: Parfinovych... | CommonCrawl |
Is there a systematic way to find out types of function compositions, given the types of the composed functions?
Edit: As I forgot to mention, $\alpha$, $\beta$, $\gamma$ are polymorphic types, hence this composition is actually possible. Haskell says the type definition is as follows: $f \circ f :: (\alpha \rightarrow... | CommonCrawl |
You are given an array that has $n$ positive integers. Your task is to find two integers such that their greatest common divisor is as large as possible.
The first input line has an integer $n$: the size of the array.
The second line has $n$ integers $x_1,x_2,\ldots,x_n$: the contents of the array.
Print the maximum gr... | CommonCrawl |
How to calculate categorical distribution?
Suppose I have 150 records with continuous and categorical values.In which only one column has categorical values with three categories namely setosa, versicolor and virginica.
How to calculate categorical distribution for them?
The common choice for $\alpha$ is $1$, i.e. appl... | CommonCrawl |
The phenylhydrazine-induced erythropoietic mouse spleen is used as a model system to demonstrate the relationship between tissue growth and polyamine metabolism. Phenylhydrazine produced significant changes in spleen weights, hematocrits and reticulocyte counts in Swiss-Webster mice. The average spleen weight went up f... | CommonCrawl |
Bessie the cow realizes she needs to exercise more in order to stay in good shape. She needs your help selecting potential routes around the farm that she can use for her morning jogging routine.
The farm is made up of $N$ fields ($1 \leq N \leq 2 \cdot 10^5$), conveniently numbered $1 \ldots N$, and conveniently conne... | CommonCrawl |
For all natural numbers $n$, $P(n)$ is true.
individually. Well, there is an infinite list of things to prove, so this will only work if you have an infinite amount of time.
which makes our task infinitely easier!
Proposition 1. For every natural number $n$, the sum of the first $n$ odd numbers is $n^2$.
For example, s... | CommonCrawl |
Squarectiland is a 2 dimensional plane which can be assumed to infinitely extend in all directions. There is a universal Cartesian coordinate system in Squarectiland, and thus each point is uniquely described by its coordinates $(x, y)$. The king of Squarectiland wants to build a new palace. The palace has to be a squa... | CommonCrawl |
251 V.I. Arnold says Russian students can't solve this problem, but American students can -- why?
77 How do I escape characters in GitHub code search?
39 Why are complex numbers in Python denoted with 'j' instead of 'i'?
27 Can a nonspherical planet exist and can it be habitable?
23 What does Chrome's "Incognito Mode" ... | CommonCrawl |
1-To be published in IEEE Xplore, Authors must submit their abstracts online through the IEEE pdf-express system by June 25, 2018.
4-Upon process completion, the option « Approve for collection » will become available in your account. Press that option if you are satisfied with the final result. The next screen will co... | CommonCrawl |
For questions about properties and applications of triangles.
For questions about Lie algebras, an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds.
For questions concerning circles. A circle is the locus of points in a plane that are at a fixed distanc... | CommonCrawl |
This puzzle is the continuation of "Professor Halfbrain and the 99x99 chessboard (Part 1)". The difference is that "four corners of a rectangle" has now become "$2\times2$ subsquare".
Professor Halfbrain has spent the last weekend with filling the squares of a $99\times99$ chessboard with real numbers from the interval... | CommonCrawl |
Abstract:In this paper some embedding theorems related to fractional integration and differentiation in harmonic mixed norm spaces $h(p,q,\alpha )$ on the half-space are established. We prove that mixed norm is equivalent to a ``fractional derivative norm'' and that harmonic conjugation is bounded in $h(p,q,\alpha )$ f... | CommonCrawl |
We cover the object with square non-overlapping boxes of size $r$ and repeat the procedure using a range of $r$ values. This range is determined by the size of our sample.
Calculate $M_q(r_1)$ store the result.
Do this for all $r$'s in the range.
If somebody want to do this in R as a final project, we cant talk later.
... | CommonCrawl |
Welcome to Physics Problems Q&A, where you can ask questions and receive answers from other members of the community.
The answer should be 518A. It comes something around 3255 A. Where is the mistake?
I don't see any mistake. The difference is a factor of exactly $2\pi$, which should be in the formula.
According to the... | CommonCrawl |
You have found $13$ gold coins and strangely their weights are from $1$ to $13$ grams (such as $1,2,3,...$). You are bored and out of the blue you decided to divide golds into groups such as the sums of the weights of the golds in all groups will be the same.
In how many distinct ways can this be done?
If this question... | CommonCrawl |
A Goldbach partition $2n = p + q$ with $p$ and $q$ primes and $p \leqslant q$ is usually called minimal if the numbers $2n - k$ ($k = 1,\ldots, p-1$) are all composite.
Reading through the literature, I see that the minimal Goldbach partitions of even integers have been studied a lot (for instance in https://dms.umontr... | CommonCrawl |
Salem gave you $ n $ sticks with integer positive lengths $ a_1, a_2, \ldots, a_n $ .
For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from $ a $ to $ b $ is $ |a - b| $ , where $ |x| $ means the absolute valu... | CommonCrawl |
Abstract: Given a map $\mathcal M$ on a connected and closed orientable surface, the delta-matroid of $\mathcal M$ is a combinatorial object associated to $\mathcal M$ which captures some topological information of the embedding. We explore how delta-matroids associated to dessins d'enfants behave under the action of t... | CommonCrawl |
SFH Handbook 4000.1 | HUD.gov / U.S. Department of Housing and. – . Relations · Davis Bacon and Labor Standards · Departmental Enforcement Center. The Federal Housing Administration's (FHA) Single Family Housing Policy. everything a lending entity needs to become FHA approved; to originate and. II forward mortgages, an... | CommonCrawl |
Many biological environments, both intracellular and extracellular, are often crowded by large molecules or inert objects which can impede the motion of cells and molecules. It is therefore essential for us to develop appropriate mathematical tools which can reliably predict and quantify collective motion through crowd... | CommonCrawl |
Paper summary niz Very efficient data augmentation method. Linear-interpolate training set x and y randomly at every epoch. ```python for (x1, y1), (x2, y2) in zip(loader1, loader2): lam = numpy.random.beta(alpha, alpha) x = Variable(lam * x1 + (1. - lam) * x2) y = Variable(lam * y1 + (1. - lam) * y2) optimizer.zero_gr... | CommonCrawl |
The numbers 1,2, 3, are called natural numbers or counting numbers.
We can say that whole nos. consist of zero and the natural numbers. Therefore, except zero all the whole nos. are natural numbers.
1) The smallest natural number is 1.
2) The number 0 is the first and the smallest whole nos.
3) There are infinitely man... | CommonCrawl |
Abstract: This paper presents two new quality measures for tetrahedra which are smooth and well-suited for gradient based optimization. Bothmeasures are formulated as a distance fromthe regular tetrahedron and utilize the fact that the covariance of the vertices of a regular tetrahedron is isotropic. We use these measu... | CommonCrawl |
So this is the simplex algorithm that Dantzig developed for the USAF. :sigh: here we go. As with the rest of the LP notes, pretty much taking a lot of this right from U. Wash. Math 407.
You also give a slack variable to the objective function (what you're minimizing/maximizing).
Once you've assigned all your slack vari... | CommonCrawl |
Abstract The JIMWLK Hamiltonian for high energy evolution of QCD amplitudes is presented at the next-to-leading order accuracy in $\alpha_s $. The general form of the Hamiltonian is deduced from the symmetries and the structure of the hadronic light cone wavefunction. The independent functional kernels are then extract... | CommonCrawl |
Abstract: A new operation of product of groups, the $n$-periodic product of groups for odd exponent $n\ge 665$, was proposed by the author in 1976 in the paper . This operation is described on the basis of the Novikov–Adyan theory introduced in the monograph of the author. It differs from the classic operations of dir... | CommonCrawl |
Today is a big day for Samuel. He wants to join the baseball team, but since he's not a real big athlete he uses his engineering skills to figure out a way to make the team.
Samuel developed a special pair of glasses to analyze his opponents. He uses factoring trinomials to figure out when the ball will hit the ground.... | CommonCrawl |
Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation - Download this document for free, or read online. Document in PDF available to download.
We examine the axial U(1) symmetry near and above the finite temperature phase transition in two-flavor QCD using lattice QCD simu... | CommonCrawl |
Wideband phased arrays require very tight element spacing to permit wide angle scanning of the main beam over the wide bandwidth. The consequence of tight spacing is very high mutual coupling among the elements in the array. Previous efforts by Virginia Tech Antenna Group has shown that the strong coupling can be utili... | CommonCrawl |
The key idea behind the MCMC algorithms is that under certain conditions, Markov chains have a stationary distribution. If we can build a Markov chain whose stationary distribution is the distribution that we would like to sample from then it is relatively easy to get draws from this distribution by simulating lots of ... | CommonCrawl |
Summary: This paper considers partitioning the vertices of an n-vertex tree into p disjoint sets C1, C2, . . . , Cp, called clusters so that the number of vertices in a cluster and the number of subtrees in a cluster are minimized. For this NP-hard problem we present greedy heuristics which differ in (i) how subtrees a... | CommonCrawl |
Doctoral Committee Chair(s): Gewirth, Andrew A.
Abstract: This thesis encompasses several studies of the behavior of aromatic molecules on Au(111) single crystal electrode surfaces. In the first study, the initial stages of the binding and oxidation of phenol at high pH were addressed. Phenoxide binds to the electrode ... | CommonCrawl |
The method of Cauchy random projections is popular for computing the $l_1$ distance in high dimension. In this paper, we propose to use only the signs of the projected data and show that the probability of collision (i.e., when the two signs differ) can be accurately approximated as a function of the chi-square ($\chi^... | CommonCrawl |
Ndiaye, C. B., & Xiao, J. (submitted). Toward Gauss-Bonnet-Chern Inequalities and Isoperimetric Deficits for Conformal Metrics on $\mathbb R^n, n\ge 3$.
Abstract: The aim of this paper is to establish the Gauss-Bonnet-Chern integral inequalities and isoperimetric deficit formulas for complete conformal metrics on $\mat... | CommonCrawl |
It might help to have labelled counters with the five symbols $+ , -, \times , \div$ and $ =$ on them, which you can move around on this sheet.
Visualising. Multiplication & division. Inverses. Practical Activity. Compound transformations. Working systematically. Games. Addition & subtraction. Trial and improvement. In... | CommonCrawl |
Any real number can be expressed as a decimal.
The number of numbers that can be expressed by n decimal places is 10^n.
10^(n+1) = 10x10^n is countable.
Most reals can't be expressed using n decimal places for any finite n. Hence it doesn't follow that the reals are countable.
Why do you keep on posting this nonsense? ... | CommonCrawl |
Abstract: Decomposition of unipotents gives short polynomial expressions of the conjugates of elementary generators as products of elementaries. It turns out that with some minor twist the decomposition of unipotents can be read backwards, to give very short polynomial expressions of elementary generators themselves in... | CommonCrawl |
Each interior angle of a regular polygon is 120� greater than each exterior angle. How many sides are there in the polygon?
In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution, so that the resultant solution has 40% methyl alcohol in it?
A, B and C can do a piece of work in 15... | CommonCrawl |
There are 250 scraps. For each 11 removed, one extra can be obtained. How much maximum is possible, if one cut by one unit?
I have read this somewhere, and one guy gave the answer as 25, but I can't understand why. Can anyone please explain?
10 - 11 = -1 ??????
You can't continue after doing this 24 times. Or you will ... | CommonCrawl |
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