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Abstract: We propose a new, constant-round protocol for multi-party computation of boolean circuits that is secure against an arbitrary number of malicious corruptions. At a high level, we extend and generalize recent work of Wang et al. in the two-party setting and design an efficient preprocessing phase that allows t... | CommonCrawl |
Farmer John's $N$ cows ($3 \leq N \leq 50,000$) are all located at distinct positions in his two-dimensional field. FJ wants to enclose all of the cows with a rectangular fence whose sides are parallel to the x and y axes, and he wants this fence to be as small as possible so that it contains every cow (cows on the bou... | CommonCrawl |
Abstract: We aim to improve the surface of last scattering (SLS) optimal cross-correlation method in order to refine estimates of the Poincaré dodecahedral space (PDS) cosmological parameters. We analytically derive the formulae required to exclude points on the sky that cannot be members of close SLS-SLS cross-pairs. ... | CommonCrawl |
I'm trying to work through a theorem in the Lehmann statistical inference book and I'm confused about a proof. They are proving that a set of tests are UMP unbiased level-alpha tests for a series of hypotheses in a multiparameter exponential family.
My question is, how do you know now that the $T_i$ are a sufficient st... | CommonCrawl |
Most of my articles on calculators are just a support to the video presentation of that calculator. The video for this calculator will be prepared on April 2016. Meanwhile you may enjoy the prelimiary attempt here.
This is the Diehl DS 18 calculator. The calculator is a close model to the Diehl KR 15 introduced in a se... | CommonCrawl |
Silicon-on-insulator (SOI) wafer technology can be used to achieve a monolithic pixel detector, in which both a semiconductor pixel sensor and readout electronics are integrated in the same wafer. We are developing an SOI pixel sensor SOFIST, SOI sensor for Fine measurement of Space and Time, optimized for the vertex d... | CommonCrawl |
The next argument should be a character. In case of AutoLisp there's no character type (yet), so in this case the first character of an input string will be used.
A new line is output in this position. There's an optional parameter to this where ~N% outputs $N \times NewLines$. So a code of ~3% would result in 3 new li... | CommonCrawl |
Bessie likes downloading games to play on her cell phone, even though she doesfind the small touch screen rather cumbersome to use with her large hooves.
She is particularly intrigued by the current game she is playing.The game starts with a sequence of $N$ positive integers ($2 \leq N\leq 248$), each in the range $1 \... | CommonCrawl |
A morphism of Artin stacks $f:X\to Y$ over $\mathbb Q$ is representable by algebraic spaces if and only if its geometric fibres are algebraic spaces. I would like to know if one can use this to prove the following statement.
Let $f:X\to Y$ be a morphism of finite type separated DM stacks over $\mathbb Q$. Suppose that,... | CommonCrawl |
When $X$ is a smooth manifold, Lipyanskiy defines a chain complex whose homology is isomorphic to singular homology - let's say $GC_*(X)$ - generated by maps $\sigma: M \to X$ from compact $k$-manifolds with corners $M$. Working over $\Bbb F_2$ to avoid orientation discussions, $GC_k(X)$ is the free vector space genera... | CommonCrawl |
Reddy, SNS and Leonard, DN and Wiggins, LB and Jacob, KT (2005) Internal Displacement Reactions in Multicomponent Oxides: Part I. Line Compounds with Narrow Homogeneity Range. In: Metallurgical and Materials Transactions A, 36A (10). pp. 2695-2703.
As a model of an internal displacement reaction involving a ternary oxi... | CommonCrawl |
Is it possible to have a $3 \times 3$ matrix that is both orthogonal and skew-symmetric?
I know it has something to do with the odd order of the matrix and it is not possible to have such a matrix. But what is the reason?
Othogonal matrices have their eigenvalues on the unit circle.
Skew-symmetric Matrices have their e... | CommonCrawl |
is anyone certain of what question 4 means?
(4) Which elements commute with every other element?
If an element, say $a\in G$, commutes with every other element, then this means $ax=xa$ for all $x\in G$. It's like being abelian, but you're only checking whether an individual element commutes with everything else. If the... | CommonCrawl |
And also, if we have built the 496 of $SO(32)$ as a symmetrized pairing of 16 + 16 "particles and antiparticles", it can be further splitted to $256 + 240$, which is a more informal statement of the above branchings, and again looks as two copies of SO(16).
This kind of coincidencies is usually mentioned as lore (say B... | CommonCrawl |
I've been recently acquainted with a statistical technique of amazing utility and versatility that has its roots in matrix decomposition, a basic—though profound—concept in linear algebra.
For the purposes of this discussion, we're going to consider it a very elegant way of taking a large, confusing dataset with many v... | CommonCrawl |
A modification of the surface layer of a Ti6Al4V titanium alloy is carried out using ultrasonic impact treatment (UIT) with addition of the Al$_2$O$_3$ and Cr$_2$O$_3$ powders to the deformation zone. As shown by means of x-ray diffraction phase analysis, optical and scanning electron microscopies, the surface layers o... | CommonCrawl |
I have a set of $n$ agents and a set of $n$ tasks, and I need to assign each agent to exactly one task such that a cost is minimised. Some agents are incompatible with some tasks.
I have an implementation of the Hungarian Algorithm which takes about a minute to solve for my $640 \times 640$ matrix. For forbidden assign... | CommonCrawl |
A system of expressing the number of rows and columns of a matrix in mathematical form is called the order of a matrix.
The order of a matrix denotes the arrangement of elements as number of rows and columns in a matrix. So, it is known as dimension of a matrix. It is usually expressed as the number of rows is multipli... | CommonCrawl |
We study dark matter (DM) which is cosmologically long-lived because of standard model (SM) symmetries. In these models an approximate stabilizing symmetry emerges accidentally, in analogy with baryon and lepton number in the renormalizable SM. Adopting an effective theory approach, we classify DM models according to r... | CommonCrawl |
Let $\frak m$ be an infinite cardinal. We denote by $C_\frak m$ the collection of all $\frak m$-representable Boolean algebras. Further, let $C_\frak m^0$ be the collection of all generalized Boolean algebras $B$ such that for each $b\in B$, the interval $[0,b]$ of $B$ belongs to $C_\frak m$. In this paper we prove tha... | CommonCrawl |
In the summer of 2018, Unit 42 released reporting regarding activity in the Middle East surrounding a cluster of activity using similar tactics, tools, and procedures (TTPs) in which we named the adversary group DarkHydrus. This group was observed using tactics such as registering typosquatting domains for security or ... | CommonCrawl |
Convex functions is an important and fundamental class of objective functions in the study of mathematical optimization. Their properties make them the simplest, yet non-trivial, objective functions for optimization. Convex functions are those functions whose local minima is also a global minima. Furthermore, strictly ... | CommonCrawl |
We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians --- those that are related to quadratic forms of Fermi operators --- between the first $N$ spins and the rest of the system in the limit of infinite total chain length. We show that the entropy can be expre... | CommonCrawl |
This question concerns a system of equations that arise in the study of one-soliton solutions to the Davey-Stewartson equation.
Can one prove that $n_1(z)=n_2(z)=0$ if one assumes a priori that $n_1$ and $n_2$ belong to $L^p(R^2)$ for all $p>2$ (including $p=\infty$)? For this purpose one can assume that the limits abo... | CommonCrawl |
Let $R$ be any ring with identity. An element $a \in R$ is called nil-clean, if $a=e+n$ where $e$ is an idempotent element and $n$ is a nil-potent element. In this paper we give necessary and sufficient conditions for a $2\times 2$ matrix over an integral domain $R$ to be nil-clean.
D. Alpern, Generic Two Integer Varia... | CommonCrawl |
The index of refraction of air for optical frequencies is around 1.0002, so the speed of light in air is about \$2.9985\times10^8\$ m/s, as compared to \$2.9979\times10^8\$ m/s in vacuum. how to find a family doctor near me The same is true for a gas like air- compressing it raises the refractive index. For any particu... | CommonCrawl |
We analyze the nonlinear stochastic heat equation driven by heavy-tailed noise in free space and arbitrary dimension. The existence of a solution is proved even if the noise only has moments up to an order strictly smaller than its Blumenthal-Getoor index. In particular, this includes all stable noises with index $\alp... | CommonCrawl |
Vol. Contents of Tohoku Math. J.
Abstract. If $P,Q:[0,\infty)\to$ are increasing functions and $T$ is the Calderon operator defined on positive or decreasing functions, then optimal modular inequalities $\int P(Tf)\leq C\int Q(f)$ are proved. If $P=Q$, the condition on $P$ is both necessary and sufficient for the modul... | CommonCrawl |
Determine the angular speed at which the sprinkler will rotate free.
Question: Determine the angular speed at which the sprinkler will rotate free.
Lawn sprinkler has two nozzles of diameters 3 mm each is connected across a tap of water. The nozzles are at distance of 40 cm and 30cm from the centre of tap. The rate of ... | CommonCrawl |
Each week we will discuss a research problem in the field of geometric analysis.
In this talk, I will discuss a problem which originates in complex analysis but is really a problem in non-linear elliptic PDE.
We study the least gradient problem in two special cases.
Let $M$ be a von Neumann algebra and let $(L_p(M), \|... | CommonCrawl |
A man sells a table for Rs. 4200 at 25% loss. At what price must he sell to get a profit of 25%?
Find the odd statement out in relation to a triangle.
The longest side is opposite to the greatest angle.
Exterior angle of a triangle = the sum of interior opposite angles.
The sum of any 2 sides is greater than the 3rd si... | CommonCrawl |
You are asked to dissect an $N \times N$ square into polyomino pieces such that each piece shares portion of its boundary with exactly $D$ other pieces, and no piece has area exceeding $N$. This can be achieved for $D \le 5$.
Find the smallest square for $D=5$.
Credit: inspired by this puzzle.
It was definitely fun to ... | CommonCrawl |
I've learnt to roughly draw graphs of various functions like isoquants of Cobb Douglas function, i.e., $k=√q/L$. Here first derivative is negative so it's downward sloping and second derivative is positive so convex to origin. Now if Short-Run cost function is $C = (w/k)q^2 + (rk)$ then average cost is $AVC= (w/k)q +(r... | CommonCrawl |
Abstract: The nonperturbative analysis of the one-particle excitation of the electron-positron field is made in the paper. The standard form of quantum electrodynamics (QED) is used but the coupling constant $\alpha_0$ is supposed to be of a large value ($\alpha_0 \gg 1$). It is shown that in this case the quasi-partic... | CommonCrawl |
Epidemiology is the study of the distribution and spread of disease or illness at the population level.
In a survival study, is interval censoring simplifiable to midtime imputation?
how to model variable of no interest to account for interactions with that variable?
Can variable be both a moderator and partial mediato... | CommonCrawl |
Abstract: We consider the problem of clustering a graph $G$ into two communities by observing a subset of the vertex correlations. Specifically, we consider the inverse problem with observed variables $Y=B_G x \oplus Z$, where $B_G$ is the incidence matrix of a graph $G$, $x$ is the vector of unknown vertex variables (... | CommonCrawl |
Kavitha, V and Dutt, Narayana D and Pradhan, N (1995) Nonlinear Prediction of Chaotic Electrical Activity of the Brain. In: 14th Conference of the Biomedical Engineering Society, Engineering in Medicine and Biomedical Engineering, An International Meeting, 15-18 Febrauary 1995, New Delhi, India, 3/39-3/40.
The random l... | CommonCrawl |
A fair coin is tossed repeatedly until 5 consecutive heads occurs. What is the expected number of coin tosses?
Is the product of two Gaussian random variables also a Gaussian?
Say I have $X \sim \mathcal N(a, b)$ and $Y\sim \mathcal N(c, d)$. Is $XY$ also normally distributed? Is the answer any different if we know tha... | CommonCrawl |
Abstract: Many applications of stereo depth estimation in robotics require the generation of accurate disparity maps in real time under significant computational constraints. Current state-of-the-art algorithms force a choice between either generating accurate mappings at a slow pace, or quickly generating inaccurate o... | CommonCrawl |
Registration and tea breaks will be held in the Allen Barton Forum (also in the CBE building).
A list of all participants, if you're as bad at remembering names as I am, is available here.
The MSI Workshop on Low-Dimensional Topology & Quantum Algebra will be held October 31-November 4 (Monday-Friday) at the Australian... | CommonCrawl |
It is often the case that there are several studies measuring the same parameter. Naturally, it is of interest to provide a systematic way to combine the information from these studies. Examples of such situations include clinical trials, key comparison trials and other problems of practical importance. Singh et al. (2... | CommonCrawl |
De Rham cohomology and homotopy Frobenius manifoldsMar 22 2012May 25 2012We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.
Central inva... | CommonCrawl |
I'm analyzing a large problem with a large $N \times M$ data matrix $A$, where $N$ is the number of observations, $M$ is the number of explanatory variables, and $N \gg M$. I'd like to perform single-pass linear regression on this data set against a scalar response variable. But the challenge is that I'm only able to l... | CommonCrawl |
Meireles, B., A. Usié, P. Barbosa, A. Margarida Fortes, A. Folgado, I. Chaves, I. Carrasquinho, R. Lourenço Costa, S. Gonçalves, R. Teresa Teixeira, et al., "Characterization of the cork formation and production transcriptome in Quercus cerris$\times$ suber hybrids", Physiology and molecular biology of plants, vol. 24,... | CommonCrawl |
Riccardo Adami, Diego Noja, Nicola Visciglia. Constrained energy minimization and ground states for NLS with point defects. Discrete & Continuous Dynamical Systems - B, 2013, 18(5): 1155-1188. doi: 10.3934\/dcdsb.2013.18.1155.
Fran\u00E7ois Alouges, Antonio DeSimone, Luca Heltai, Aline Lefebvre-Lepot, Beno\u00EEt Merle... | CommonCrawl |
Abstract : We analyze $$L^2$$ -regularization of a class of linear-quadratic optimal control problems with an additional $$L^1$$ -control cost depending on a parameter $$\beta $$ . To deal with this nonsmooth problem we use an augmentation approach known from linear programming in which the number of control variables ... | CommonCrawl |
For statistical questions involving the Jacobian matrix (or determinant) of first partial derivatives. For purely mathematical questions about the Jacobian it is better to ask at math SE https://math.stackexchange.com/.
When transforming 2+ continuous random variables, you use a Jacobian matrix and compute the determin... | CommonCrawl |
to generate the pattern in question.
Unless otherwise specified, file format is inferred from the extension.
the embedded LifeViewers in the latter case.
- Shifting, rotating, and reflecting patterns.
- Convolutions (either using inclusive or exclusive disjunction).
- Getting and setting individual cells or arrays ther... | CommonCrawl |
Abstract : In this paper we study a particular multidimensional deconvolution problem. The distribution of the noise is assumed to be of the form $G(dx) = (1 − \alpha)\delta(dx) + \alpha g(x)dx$, where $\delta$ is the Dirac mass at $0\in R^d$ , $g : R^d → [0, \infty)$ is a density and $\alpha \in [0, 1 2 [$. We propose... | CommonCrawl |
APS -20th Biennial Conference of the APS Topical Group on Shock Compression of Condensed Matter - Event - Phase transitions of titanium under dynamic loading.
Abstract: J7.00003 : Phase transitions of titanium under dynamic loading.
Information on sound velocity, which characterizes substance behavior under conditions ... | CommonCrawl |
We introduce a variational approach to the Hele-Shaw flow $D_t k=\triangle u+f\chi$, $f\geq 0$ in $R^N$, where $k$ is the characteristic function of an open set $O(t)$ in $R^N$ and $u(t,\cdot)$ in $H^1_0(O(t))$ solves $-\triangle u(t,\cdot)=f$ in $O(t)$.
By choosing a time step $\tau_j=\tau/2^j$ and iteratively solving... | CommonCrawl |
Proof by contradiction is a valid deduction sequent in propositional logic.
If, by making an assumption $\phi$, we can infer a contradiction as a consequence, then we may infer $\neg \phi$.
The conclusion does not depend upon the assumption $\phi$.
If we know that by making an assumption $\phi$ we can deduce a contradi... | CommonCrawl |
diverges to $\infty$ a.s.\ as $t\dto 0$. The typical requirement here is that $X$ be of bounded variation with non-zero drift.
%% correspond to a stronger singularity in the measure at 0. An important component in the analyses is the way the largest positive and negative jumps interact with each other.
The analysis all... | CommonCrawl |
by Hugh Duncan. Published on 15 November 2018.
Back in 2012 I searched the Internet for polygons that lacked a bit of an edge, but found nothing, so I worked on them myself. Let us have a look at the thinking process behind these little-known polygons.
Look! The internal angle has now become negative! A (regular) 3/2-s... | CommonCrawl |
if $\alpha = I$, the problem becomes a classical problem in variable projection for nonlinear least square, which has been studied for decades.
The benefit of $\alpha = I$ is that, the nonlinear and linear part becomes separable through pseudo-inverse.
I can simply (blindly) use an optimization package to generally sol... | CommonCrawl |
Abstract: 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 isoscala... | CommonCrawl |
Here the method I took was to employ integration by parts and then call to special functions, but can this equally be achieved with say a Feynman Trick? or another form integral transform?
Edits: Correction of original limit observation (now removed) Correction of not stating region of convergence for $\alpha$. Correct... | CommonCrawl |
Consider the conjugacy classes of the symmetric group $S_N$. Each conjugacy class consists of permutations that have the same cycle structure. We see that the number of possible cycle structures is given by the number of ways of partitioning N.
Given some cycle structure, how can one calculate the number of elements, n... | CommonCrawl |
Q. Is it possible to trap all the light from one point source by a finite collection of two-sided disjoint segment mirrors?
I posed this question in several forums before (e.g., here and in an earlier MO question), and it has remained unsolved. But I've recently become re-interested in it. Let me first clarify the ques... | CommonCrawl |
In many healthcare settings, intuitive decision rules for risk stratification can help effective hospital resource allocation. This paper introduces a novel variant of decision tree algorithms that produces a chain of decisions, not a general tree. Our algorithm, $\alpha$-Carving Decision Chain (ACDC), sequentially car... | CommonCrawl |
In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
What is the significance of differential operators over other operators in group theory?
Definition of the principal symbol of a differential operator on a real vector bundle.
When do Harmonic polynomials const... | CommonCrawl |
What is the role of rotational symmetry in the diagonalization process of spin-1/2 Isotropic Heisenberg Hamiltonian on 1D lattice using coordinate Bethe ansatz?
$\left(H^\dagger H\right)^2$ is invariant under $U(1)\times SU(2)$?
Is the U(1) gauge theory in 2+1D dual to a U(1) or an integer XY model?
I understand that t... | CommonCrawl |
Seven mathematicians met up one week.
The first mathematician shook hands with all the others.
The second one shook hands with all the others apart from the first one (since they had already shaken hands).
The third one shook hands with all the others apart from the first and the second mathematicians, and so on, until... | CommonCrawl |
The bounded arithmetic theory \mathof Johannsen and Pollett (LICS'98), which is closely related to the complexity class DLogTime- uniform \math, is extended by a function symbol and axioms for integer division, which is not known to be in DLogTime-uniform \math. About this extended theory \math, two main results are pr... | CommonCrawl |
Specifically, devise schedules and an arrangement for two electromechanical 24 - hour light timers to control the flow of power from an outlet to a light bulb. The challenge is to obtain the following repeated lighting pattern with the largest possible number D, while N is a nonzero constant other than 24 − D , beginn... | CommonCrawl |
Ecares - Eric Marchand, Sherbrooke U.
Abstract : This talk will address the estimation of predictive densities and their efficiency as measured by frequentist risk. For Kullback-Leibler, $\alpha-$divergence, $L_1$ and $L_2$ losses, we review several recent findings that bring into play improvements by scale expansion, ... | CommonCrawl |
given a space $X$, find the minimal amount of area needed to enclose a fixed volume $v$.
If the space $X$ has a simple structure or many symmetries, the problem can be completely solved and the "optimal shapes" can be explicitly described (e.g. Euclidean space and the sphere). In the general case, however, one cannot h... | CommonCrawl |
Abstract: Recently attention has been drawn to practical problems with the use of unbounded Pareto distributions, for instance when there are natural upper bounds that truncate the probability tail. Aban, Meerschaert and Panorska (2006) derived the maximum likelihood estimator for the Pareto tail index of a truncated P... | CommonCrawl |
Are you a veteran rumba dancer? Have you never danced before in your life? No worries--all are welcome at Cuban Rumba Jam! Come dance like no one's watching in the streets of Berkeley.
We will meet at the MLK Student Union just outside the Cal Student Store at 3 PM to head down together. Look for the person with the BI... | CommonCrawl |
A plane graph is a finite simple graph with a fixed embedding into the two-sphere. The embedding induces an embedding on a minors of a plane graph (i.e. a graph obtained by successive removal of vertices, removal of edges, and contraction of edges). In other words, we may consider minors of plane graphs to be plane gra... | CommonCrawl |
[1502.05992] What is the probability that a random integral quadratic form in $n$ variables has an integral zero?
Title:What is the probability that a random integral quadratic form in $n$ variables has an integral zero?
Abstract: We show that the density of quadratic forms in $n$ variables over $\mathbb Z_p$ that are ... | CommonCrawl |
It's well known that R is a memory based software, meaning that datasets must be copied into memory before being manipulated. For small or medium scale datasets, this doesn't cause any troubles. However, when you need to deal with larger ones, for instance, financial time series or log data from the Internet, the consu... | CommonCrawl |
I am calculating value-weighted returns with monthly dividends reinvested and for some reason when I sum the daily returns some are a little bit off with monthly returns. Is this normal?
I've solved part a, but am struggling with b and c. $x_m$ is the market portfolio vector, and I think $T$ should be a diagonal matrix... | CommonCrawl |
When they meet each month and share their progress, they are discouraged if another friend fails their resolution, making it less likely they keep their own resolution. Suppose that once a friend fails, it reduces the chance others succeed by $10\%$. For example, if $2$ friends have failed so far during the year, the c... | CommonCrawl |
Here $y$ is the response vector, $X$ is the design matrix with (say) $p+1$ columns (the first column in this matrix is a vector of all ones corresponding to the intercept), $\beta=(\beta_0,\beta_1,\ldots,\beta_p)^T$ is the vector of regression coefficients and $\varepsilon$ is the random error.
In this model with $p$ r... | CommonCrawl |
Where do we need the axiom of choice in Riemannian geometry?
A friend of mine is a differential geometer, and keeps insisting that he doesn't need the axiom of choice for the things he does. I'm fairly certain that's not true, though I haven't dug into the details of Riemannian geometry (or the real analysis it's based... | CommonCrawl |
Abstract. We use Renormalization Group methods to prove detailed long time asymptotics for the solutions of the complex Ginzburg-Landau equations with initial data approaching, as $x\rightarrow\pm\infty$, different spiralling stationary solutions. A universal pattern is formed, depending only on this asymptotics at spa... | CommonCrawl |
The determinant and trace (and characteristic polynomial coefficients) are well-known similarity invariants of a matrix. There are more if we only allow permutation similarities (swapping a pair of rows, and swapping the corresponding pair of columns). How many independent invariants does an $n \times n$ matrix have? I... | CommonCrawl |
In this paper we first study the stability of Ritz-Volterra projection (see below) and its maximum norm estimates, and then we use these results to derive some $L^\infty$ error estimates for finite element methods for parabolic integro-differential equations.
Qun Lin, Qi-ding Zhou: Superconvergence Theory of Finite El... | CommonCrawl |
When reporting on laptop or desktop screens, most catalogues only give the diagonal length. Additionally, we know that nearly all computer screens these days are (approximately) 16 to 9. How can we use this information to figure out width and height of the screen?
We use trigonometry. Consider the graphic on the right:... | CommonCrawl |
There are several approaches for using computers in deriving mathematical proofs. For their illustration, we provide an in-depth study of using computer support for proving one complex combinatorial conjecture -- correctness of a strategy for the chess KRK endgame. The final, machine verifiable, result presented in thi... | CommonCrawl |
We report deduction of the Eliashberg function $\alpha^2 F(\theta,\omega)$ at energy $\omega$ and along momentum cuts at angles $\theta$ normal to the Fermi surface from the high resolution laser angle resolved photoemission spectroscopy on slightly underdoped Bi2212 in the normal and superconducting states. Our princi... | CommonCrawl |
I'm new to Sage, and I've been struggling to get started with (what I thought) should be a basic construction.
I have an $8$-element commutative ring $R$ which is constructed as a quotient of a polynomial ring in two variables. I need to examine all of the quotient of the right $R$ module $R\times R$.
I tried to use M=... | CommonCrawl |
Abstract: A distance-based method to reconstruct a phylogenetic tree with $n$ leaves takes a distance matrix, $n \times n$ symmetric matrix with $0$s in the diagonal, as its input and reconstructs a tree with $n$ leaves using tools in combinatorics. A safety radius is a radius from a tree metric (a distance matrix real... | CommonCrawl |
Warped accretion discs are expected in many protostellar binary systems. In this paper, we study the long-term evolution of disc warp and precession for discs with dimensionless thickness $H/r$ larger than their viscosity parameter $\alpha$, such that bending waves can propagate and dominate the warp evolution. For sma... | CommonCrawl |
A fundamental operation in computational geometry is determining whether two objects touch. For example, in a game that involves shooting, we want to determine if a player's shot hits a target. A shot is a two dimensional point, and a target is a two dimensional enclosed area. A shot hits a target if it is inside the t... | CommonCrawl |
How many keys are used for symmetric key encryption?
How many keys are required for public key encryption?
The encryption-by-XOR method is known to be extremely difficult to use properly (basically, the key has to be as long as the data to encrypt, which is very often highly impractical; but using a shorter key means r... | CommonCrawl |
Edit (Nov 1, 2015): Bounty awarded, but the full question (i.e., what is the optimal strategy) remains open at the time of this update.
Given a list of positive integers $1, \ldots, n$, two players (red and blue) alternate turns.
On each turn, the player picks and circles (in their color) any un-circled number $k$ that... | CommonCrawl |
Is the Couvreur et al. polynomial time attack on McEliece practical?
"We give a polynomial time attack on the McEliece public key cryptosystem based on algebraic geometry codes. Roughly speaking, this attacks runs in $O(n^4)$ operations in $\mathbb F_q$, where $n$ denotes the code length. Compared to previous attacks, ... | CommonCrawl |
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