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Definition: An equation in the form $a_0 + a_1x_1 + a_2x_2 + ... + a_nx_n = 0$ is called a Linear Equation of the $n$-variables $x_1, x_2, ..., x_n$.
If we are dealing with equations of two variables, we will often use $x$ and $y$ instead of $x_1$ and $x_2$. For example, the equation $2 + 3x + 4y = 0$ is a linear equat... | CommonCrawl |
Jerry L. Bona, Henrik Kalisch. Models for internal waves in deep water. Discrete & Continuous Dynamical Systems - A, 2000, 6(1): 1-20. doi: 10.3934\/dcds.2000.6.1.
Alberto Bressan, Wen Shen. BV estimates for multicomponent chromatography with relaxation. Discrete & Continuous Dynamical Systems - A, 2000, 6(1): 21-38. d... | CommonCrawl |
If $X$ and $Y$ are topological vector spaces over $\mathbb R$, then a map $f:X\to Y$ is called uniformly continuous if for each neighborhood $V\subseteq Y$ of $0\in Y$, there exists a neighborhood $W\subseteq X$ of $0\in X$ such that for any $x,y\in X$ satisfying $x-y\in W$, it follows that $f(x)-f(y)\in V$.
It is not ... | CommonCrawl |
Abstract: Given a direct system of Hilbert spaces $s\mapsto \mathcal H_s$ (with isometric inclusion maps $\iota_s^t:\mathcal H_s\rightarrow \mathcal H_t$ for $s\leq t$) corresponding to quantum systems on scales $s$, we define notions of scale invariant and weakly scale invariant operators. Is some cases of quantum spi... | CommonCrawl |
Pre algebra calculator, poems to help remember algebra, factoring algebraic expressions calculator, algebra in life, glencoe algebra 2, prentice hall mathematics answers.
Why Do I need algebra?, glencoe mathematics algebra 2 answers key, algebra graphing program, adding radicals, Elementary Algebra pearson, ninth grade... | CommonCrawl |
(1) Plot the graph of the function $y=f(x)$ where $f(x) = \sin x +|\sin x|$. Find the first derivative of this function and say where it is defined and where it is not defined.
(2) Express the function $f(x) = \sin x + \cos x$ in the form $f(x)=A\sin (x+\alpha)$, find $A$ and $\alpha$ and plot the graph of this functio... | CommonCrawl |
Basic Notions: Barry Simon "More Tales of our Forefathers (Part II)"
This is not a mathematics talk but it is a talk for mathematicians. Too often, we think of historical mathematicians as only names assigned to theorems. With vignettes and anecdotes, I'll convince you they were also human beings and that, as the Chine... | CommonCrawl |
What are the essential characteristics of asset prices?
I think the question has already been asked about stylized facts of asset returns; this question regards the essential characteristics and normative assumptions used to evaluate asset prices. I.e., given that the economic value of a generic asset is its discounted... | CommonCrawl |
I have a randomForest object in R, and am trying to extract prescriptive insights, as I would with a tree. This is for a binary classification problem.
Given this setting, my main question is: How can I make sense of what values of what features are associated with each classification? For example, is there a way I can... | CommonCrawl |
Kristian Ranestad (Universitetet i Oslo).
Inquires should be directed to Joachim Jelisiejew, (jj277546 at students mimuw edu pl).
Registration deadline was: June 15th, 2013.
Program of the meeting is posted here.
Worldwide, the study of tensor and polynomial decompositions from the geometric point of view is a very act... | CommonCrawl |
Consider the following protocol, meant to authenticate $A$ (Alice) to $B$ (Bob) and vice versa.
$R$ is a random nonce.
$K$ is a pre-shared symmetric key.
$E(m, K)$ means $m$ encrypted with $K$.
$\langle m_1, \ldots, m_n\rangle$ means an assemblage of the $m_i$'s that can be decoded unambiguously ($n$ is encoded unambig... | CommonCrawl |
Is there a neat formula for the volume of a tetrahedron on $S^3$?
There is a nice formula for the area of a triangle on the 2-dimensional sphere; If the triangle is the intersection of three half spheres, and has angles $\alpha$, $\beta$ and $\gamma$, and we normalize the area of the whole sphere to be $4\pi$ then the ... | CommonCrawl |
There are some chapters which don't have quizzes for the community to work on and they need your help. You can help Brilliant by contributing some good problems in those chapters. The list of those chapters can be found when you click on "Publish" button as you can see below.
You are free to post all level problems. An... | CommonCrawl |
The goal is to tile rectangles as small as possible with the given heptomino, in this case number 7 of the 108 heptominoes (see example below). We allow the addition of copies of a rectangle. For each rectangle $a\times b$, find the smallest area larger rectangle that copies of $a\times b$ plus at least one of the give... | CommonCrawl |
Abstract: The model of a stationary universe and the notion of local times presented in are reviewed with some alternative formulation of the consistent unification of the Riemannian and Euclidean geometries of general relativity and quantum mechanics. The method of unification adopted in the present paper is by const... | CommonCrawl |
A $d$-broadcast primitive is a communication primitive that allows a sender to send a value from a domain of size $d$ to a set of parties. A broadcast protocol emulates the $d$-broadcast primitive using only point-to-point channels, even if some of the parties cheat, in the sense that all correct recipients agree on th... | CommonCrawl |
cylinder ⋆ 100% Private Proxies - Fast, Anonymous, Quality, Unlimited USA Private Proxy!
I am lost with that problem, and I cannot continue.
But is that the best way to do that with surface integrals? Seems, that integral gives a lot of job. Plese help me.
Definable subsets of $ \mathbb N$ in the language of Presburger... | CommonCrawl |
Finding Vertical Asymptotes. There are two main ways to find vertical asymptotes for problems on the AP Calculus AB exam, graphically (from the graph itself) and analytically (from the equation for a function).... A function can have a slant asymptote and a horizontal asymptote. For example, it might approach a horizon... | CommonCrawl |
Here you will find the final sage project. Feel free to discuss the questions and answers.
1. Find the determinant of this matrix. Is this matrix nonsingular?
2. Find the characteristic polynomial of this matrix. Use this polynomial to determine the eigenvalues.
3. Use Sage to find the eigenvalues and eigenvectors of t... | CommonCrawl |
Can you figure out where each of these four products appears in the different methods?
Can you deconstruct $246 \times 34$ in the same way?
Multiplication & division. Addition & subtraction. Video. Algorithms. Place value. Mathematical reasoning & proof. Creating and manipulating expressions and formulae. Factors and m... | CommonCrawl |
Because of their connections with public-key cryptography, trapdoor functions are surrounded by a lot of mystery. While one-way functions (functions that are easy to compute, yet hard to invert) like integer multiplication are familiar and intuitive, the idea of a function that is hard to invert except if one possesses... | CommonCrawl |
Phenol has a $\mathrm pK_\mathrm a$ approximately equal to $9.9$.
First of all, chlorophenols are more acidic than phenol, due the negative inductive effect (−I) of chlorine, that reduces the negative charge, located on the oxygen of the phenolate anion.
Among the different chlorophenols, the observed trend is explaine... | CommonCrawl |
The role for proteoglycans in acetylcholine receptor clustering on cultured muscle.
The present dissertation investigated the possible role of proteoglycans (PGs) in acetycholine receptor (AChR) clustering on cultured C2 myotubes. Analysis of variant muscle cell lines and their hybrid products supported the hypothesis ... | CommonCrawl |
calculus linear-approximation share|cite|improve this question asked Dec 9 '15 at 14:52 AleksandrH 1978 add a comment| 1 Answer 1 active oldest votes up vote 1 down vote accepted For a cube Can anyone point me in the proper direction? Answer Questions Determine if S is in the Vector Space? More questions Calculus perce... | CommonCrawl |
Abstract. Given two selfadjoint operators $H_0$ and $V=V_+-V_-$, we study the motion of the spectrum of the operator $H(\alpha)=H_0+\alpha V$ as $\alpha$ increases. Let $\lambda$ be a real number. We consider the quantity $\xi(\lambda,H(\alpha),H_0)$ defined as a generalization of Krein's spectral shift function of the... | CommonCrawl |
I'm trying to rotate a tesseract in 4D space for a project.
This shows I can use bivectors to "to generate rotations in four dimensions." Following exterior algebra and finding the wedge product, I've managed to get a 6D vector that supposedly describes my 4D rotation. This is great, except I have no idea how to use th... | CommonCrawl |
Let $*: G \times X \to X$ be a group action.
where $*$ denotes the group action.
Some authors use $G_x$ for the stabilizer of $x$ by $G$.
The stabilizer of $x$ is also known as the isotropy group of $x$.
That it is in fact a group, thus justifying its name, is demonstrated in Stabilizer is Subgroup.
Results about stabi... | CommonCrawl |
What goes into a model?
Last time, I'd pointed out how many people think that it's blatantly obvious that statistical models should be expressed in code as an object (as opposed to an ad hoc aggregation of functions, environments, and whatever else seems necessary at the moment).
So what methods should go into that obj... | CommonCrawl |
Abstract: Eff is a programming language based on the algebraic approach to computational effects, in which effects are viewed as algebraic operations and effect handlers as homomorphisms from free algebras. Eff supports first-class effects and handlers through which we may easily define new computational effects, seaml... | CommonCrawl |
Random walk on thin ice?
My Question: Is the stochastic process which is described below a (special case of a) well-studied model? What kind of properties are known under which assumptions?
Let's think of a random walker on a frozen lake. Obviously, this lake is a subset $E$ of $\mathbb Z^n$. The ice isn't too stable, ... | CommonCrawl |
I have a histogram showing the distribution of reaction times from $100$ trials worth of data. The range in times is measured in ms and ranges from $70$ ms to $420$ ms. The frequency is displayed on the left y-axis with the max peaking at $28$ occurrences in the $175-210$ ms bin range. The bin sizes, as you could guess... | CommonCrawl |
While theoretical efforts continue to explore possible explanations for the late-time cosmic acceleration, as well as the problem of the cosmological constant, we expect future cosmological surveys to judge against or for many of the proposed theories. In this talk, I will first review the status of models of dark ener... | CommonCrawl |
I have research work where I need to compute a matrix inversion. The matrix has a size $31300\times31300$. I am using a universal java matrix package to invert this matrix. But as the dimension of the matrix is huge, it throws error memory out of scope. Cpu cannot allocate huge memory space.
So, to find out a solution ... | CommonCrawl |
If X and Y are independent, Y and Z are independent, and so are X and Z, one might be tempted to conclude that X, Y, and Z are independent. But it has long been known in classical probability theory that, intuitive as it may seem, this is not true in general. In quantum mechanics one can ask whether analogous statistic... | CommonCrawl |
Assume there would be $x_1 < x_2$ such that $f(x_1) = f(x_2)$.
The function $f$ is continuous and differentiable on $[x_1,x_2]$.
By Rolle's Theorem there exists $c$ in $(x_1,x_2)$ with $f'(c) = 0$.
This is a contradiction since $f'(x) = \pause 3x^2 + 1 \pause \ge 1$ for all $x$.
There no $x_1 < x_2$ such that $f(x_1) =... | CommonCrawl |
Purpose: In this tutorial, you will learn how to optimize a general crystal structure. An explicit example is given for hexagonal structures. Here, you will set up and execute a series of calculations for different volumes (at constant c/a ratio) and for different c/a ratios (at constant volume) for Be in the hexagonal... | CommonCrawl |
Question 1: What's a (nice) way to characterize data $\theta_i$, $\ell_i$, $\kappa_i$ that describes a valid circular triangle?
Question 2: Can all circular triangles be expressed as the image of geodesic triangles from some "nice" space under some "nice" map?
For instance, one can study the subset of circular triangle... | CommonCrawl |
What Am I and What Do I Do?
I know what I am - I'm an actuary. But how many other people know what an actuary is?
It all started (as we keep saying) with the Greeks. In this case with a certain Eubulides, philosopher-about-town in Athens of the 4th century BC.
Since 15 across is a 2 digit cube, and an integer, it is ei... | CommonCrawl |
Matrix functions of the form $f(A)v$, where $A$ is a large symmetric matrix, $f$ is afunction, and $v\\ne 0$ is a vector, are commonly approximated by first applying a few,say $n$, steps of the symmetric Lanczos process to $A$ with the initial vector $v$ in order todetermine an orthogonal section of $A$. The latter is ... | CommonCrawl |
The stiffness matrix of $Ax=B$ system of linear equations, where $A$ is an $n\times n$ symmetric matrix stored in the form of symmetric skyline matrix, that is associated with a finite element model of 3-D elastic solids, when reordered with the reverse Cuthill–McKee algorithm doesn't result in a skyline matrix with li... | CommonCrawl |
take the last 16 bytes of the shared secret byte array (do not use the first 16 bytes — those are not as uniformly distributed as the last 16 bytes!).
Why are the last 16 bytes more random than the first 16?
Is this specific to the secp224r1 curve, or is it general to the elliptic curve version of the Diffie-Hellman al... | CommonCrawl |
For the grand opening of the algorithmic games in NlogNsglow, a row of tower blocks is set to be demolished in a grand demonstration of renewal. Originally the plan was to accomplish this with controlled explosions, one for each tower block, but time constraints now require a hastier solution.
To help you remove the bl... | CommonCrawl |
Proceedings of the 35th International Conference on Machine Learning, PMLR 80:5600-5609, 2018.
We present first massively parallel (MPC) algorithms and hardness of approximation results for computing Single-Linkage Clustering of n input d-dimensional vectors under Hamming, $\ell_1, \ell_2$ and $\ell_\infty$ distances. ... | CommonCrawl |
Exceptional complex Lie groups have become increasingly important in various fields of mathematics and physics. As a result, there has been interest in expanding the representation theory of finite groups to include embeddings into the exceptional Lie groups. Cohen, Griess, Lisser, Ryba, Serre and Wales have pioneered ... | CommonCrawl |
Abstract: We propose a Las Vegas probabilistic algorithm to compute the zeta function of a genus-3 hyperelliptic curve defined over a finite field $\mathbb F_q$, with explicit real multiplication by an order $\mathbb Z[\eta]$ in a totally real cubic field. Our main result states that this algorithm requires an expected... | CommonCrawl |
Lemma 5.28.7. Let $X$ be a topological space. Suppose $X = T_1 \cup \ldots \cup T_ n$ is written as a union of constructible subsets. There exists a finite stratification $X = \coprod X_ i$ with each $X_ i$ constructible such that each $T_ k$ is a union of strata.
In order to prevent bots from posting comments, we woul... | CommonCrawl |
Let $\Pi$ denote a portfolio consisting of a long position of 100 dollars face value in each bond, i.e. $\Pi$ has a value of 2 × 90 = 180.
I am asked to calculate the Expected Shorfall for the portfolio $\Pi$ as a function of $\alpha\in(0,0.5)$. How can it be done?
Browse other questions tagged value-at-risk default cv... | CommonCrawl |
Just received my handibot today and encountered a few problems.
After that did a bit of debugging and I found that the home tool appears to move to the right by 1/2" after reaching the far left. *But* this causes the dust collector to collide with the motor if moved to the right by 6". Looking at the code for the macro... | CommonCrawl |
Investigate other $3\times 3$ squares.
Now try with $2\times 2$ squares and $4\times 4$ squares.
Can you predict your answers? What is happening?
Addition & subtraction. Generalising. Mathematical reasoning & proof. Properties of numbers. Visualising. Games. Working systematically. Creating and manipulating expressions... | CommonCrawl |
Each of the two chapters in this dissertation is based on a game theory paper. Although the topic of each chapter is different, they are linked by the question: How do players coordinate their actions through communication? Each chapter develops a communication schema, depicts equilibrium strategies, and responds to th... | CommonCrawl |
François Loeser and I just uploaded a paper on arXiv about Motivic height zeta functions. That such a thing could be possible is quite funny, so I'll take this opportunity to break a long silence on this blog.
In Diophantine geometry, an established and important game consists in saying as much as possible of the solut... | CommonCrawl |
Morgana is learning computer vision, and he likes cats, too. One day he wants to find the cat movement from a cat video. To do this, he extracts cat features in each frame. A cat feature is a two-dimension vector <$x$, $y$>. If $x_i$ = $x_j$ and $y_i$ = $y_j$, then <$x_i$, $y_i$> <$x_j$, $y_j$> are same features.
So if... | CommonCrawl |
(this may also be rotated by several right turns, or horizontally reflected or vertically reflected).
As suggested by Slepz in comments, it is clear that no corner cell may be covered, and no two adjacent edge cells may be covered. It follows that at most 5 of the 9 non-corner cells on each long edge may be covered, an... | CommonCrawl |
The publication first conscientiously develops the speculation of reproducing kernel Hilbert areas. The authors then speak about the choose challenge of discovering the functionality of smallest $H^\infty$ norm that has distinct values at a finite variety of issues within the disk. Their point of view is to think about... | CommonCrawl |
Proceedings of ICML Workshop on Unsupervised and Transfer Learning, PMLR 27:145-153, 2012.
Multi-task learning aims at transferring knowledge between similar tasks. The multi-task Gaussian process framework of Bonilla et al. models (incomplete) responses of $C$ data points for $R$ tasks (e.g., the responses are given b... | CommonCrawl |
This study deals with the transition toward quasi-periodicity of buoyant convection generated by a horizontal temperature gradient in a three-dimensional parallelepipedic cavity with dimensions $4\times2\times1$ (length$\,\times\,$width$\,\times\,$height). Numerical continuation techniques, coupled with an Arnoldi meth... | CommonCrawl |
The information complexity of a function $f$ is the minimum amount of information Alice and Bob need to exchange to compute the function $f$. In this paper we provide an algorithm for approximating the information complexity of an arbitrary function $f$ to within any additive error $\alpha>0$, thus resolving an open qu... | CommonCrawl |
I am trying to solve for the allowed wavefunctions and energies for a 1D quartic potential well.
where left means integration from x = 0 to x = patch, and right means integration from x = end to x = patch.
When I inspect the minimizing function that I find the roots of, I see that it does not cross zero at low energies... | CommonCrawl |
Is every uniformizable topology induced by a Heine-Borel uniformity?
This is a follow-up to my question here. A subset $A$ of a uniform space is said to be bounded if for each entourage $V$, $A$ is a subset of $V^n[F]$ for some natural number $n$ and some finite set $F$. Just like for metric spaces, a compact subset of... | CommonCrawl |
Some R-codes, class notes and tutorials produced by our team and collaborators. We are glad to share them as they are, of course without any warranty that they are all running properly.
On line syllabus from our graduate course on using R in ecology. In portuguese.
Tutorials on basic use of the R environment, from our ... | CommonCrawl |
If the Wronskian is zero at some point, does this imply linear dependency of functions?
if for functions $f$ and $g$, the Wronskian $W(f,g)(x_0)$ is nonzero for some $x_0$ in [a,b] then f and g are linearly independent on [a,b].
If f and g are linearly dependent then the Wronskian is zero for all $x_0$ in [a,b].
My dou... | CommonCrawl |
Let, $x_1,x_2,x_3$ be age, length of employment, length of residence, and income.
My understanding is that the goal of transformation is to address the problem of normality. Looking at histograms of each variable we can see that they present very different distributions, which would lead me to believe that the transfor... | CommonCrawl |
Among the many equations that are used to determine the downforce applied by the strings to the bridge, foresaid equation encompasses a more general condition in which the angle of the string on two sides of the bridge can take different values. In the picture, the direction of the calculated force (corresponding to th... | CommonCrawl |
Abstract: Neutron--induced nucleosynthesis plays an important role in astrophysical scenarios like in primordial nucleosynthesis in the early universe, in the s--process occurring in Red Giants, and in the $\alpha$--rich freeze--out and r--process taking place in supernovae of type II. A review of the three important a... | CommonCrawl |
Is the sum of a Darboux function and a continuous function Darboux?
If $f$ is a Darboux function and $g$ is a continuous function, must $f+g$ be a Darboux function as well?
This is a very good question that leads into some fairly hard mathematics: the answer depends on what set theoretic assumptions you are prepared to... | CommonCrawl |
Given the spectrum of analog signal $x_a(t)$ which is imaginary and band-limited, find the lowest sampling frequency to be able to reconstruct $x_a(t)$ from samples $x[n]$.
then the necessary minimum sampling rate which would avoid aliasing (spectral overlap) is given by $$ \Omega_s > ( \Omega_2 - \Omega_1 ) $$ Note th... | CommonCrawl |
Lagrangian fibrations over quotient singularities.
On a conjecture of Matsushita (after van Geemen and Voisin).
Deformations of hyperkähler twistor spaces.
Abstract. We obtain novel results concerning the deformation theory of twistor spaces of irreducible holomorphic symplectic (ihs) manifolds. Specifically we show th... | CommonCrawl |
For $N$-point best-packing configurations $\omega_N$ on a compact metric space $(A, \rho)$, we obtain estimates for the mesh-separation ratio $\gamma(\rho_N , A)$, which is the quotient of the covering radius of $\omega_N$ relative to $A$ and the minimum pairwise distance between points in $\omega_N$ . For best-packing... | CommonCrawl |
Truman has again been acknowledged by the Peace Corps as one of the top universities in the nation for producing Peace Corps volunteers.
With 22 alumni currently serving in the Peace Corps, Truman came in at No. 21 on that organization's list of medium-sized schools producing volunteers. This marks the second time in t... | CommonCrawl |
Abstract: We develop the theory of n-stacks (or more generally Segal n-stacks which are $\infty$-stacks such that the morphisms are invertible above degree n). This is done by systematically using the theory of closed model categories (cmc). Our main results are: a definition of n-stacks in terms of limits, which shoul... | CommonCrawl |
We prove that the modified Korteweg–de Vries (mKdV) equation is unconditionally well-posed in $H^s(\mathbb R)$ for $s > 1/3$. Our method of proof combines the improvement of the energy method introduced recently by the first and third authors with the construction of a modified energy. Our approach also yields a priori... | CommonCrawl |
Since I am still waiting for my immune system to win its week-long fight with some viruses (go cytokines go!), I figured I would deviate from the planning and write something related to, not ecology directly, but how to mislead people with statistics. And it involves the logistic curve, so it is basically population dy... | CommonCrawl |
I'm a master's degree student at the University of Turin (Italy).
Also check out my blog at lqmath.wordpress.com !
11 If every subsequence of $(x_n)$ has a subsequence converging weakly to $x$ then $x_n$ converges weakly to $x$.
7 Examples of $(\mathcal K^\bot)^\bot=\mathcal K$ failing.
7 Extending an equality from a d... | CommonCrawl |
Abstract: Let $X$ be a partial flag variety, stratified by orbits of the Borel. We give a criterion for the category of modular perverse sheaves to be equivalent to modules over a Koszul ring. This implies that modular category $\mathcal O$ is governed by a Koszul-algebra in small examples. | CommonCrawl |
Abstract. We study transport in quantum systems consisting of a finite array of N identical single-channel scatterers. A general expression of the S matrix in terms of the individual-element data obtained recently for potential scattering is rederived in this wider context. It shows in particular how the band spectrum ... | CommonCrawl |
is a torsion-free ring which has residue fields in any characteristics. It is a noetherian principal ideal domain. The abelian group generates the category of abelian groups, since every abelian group can be written by generators and relations and this corresponds to a surjection of some power of onto the group (and th... | CommonCrawl |
Binomial $(n, p)$ probabilities involve powers and factorials, both of which are difficult to compute when $n$ is large. This section is about simplifying the computation of the entire distribution. The result also helps us understand the shape of binomial histograms.
Fix $n$ and $p$, and let $P(k)$ be the binomial $(n... | CommonCrawl |
We present a novel class of oscillatory integrators for the Klein-Gordon-Zakharov system which are uniformly accurate with respect to the plasma frequency c. Convergence holds from the slowly-varying low-plasma up to the highly oscillatory high-plasma frequency regimes without any step size restriction and, especially,... | CommonCrawl |
1970: In Archive for Rational Mechanics and Analysis, 37,181--191, 1970.
Abstract: We consider the pressure and the correlation functions of a one dimensional lattice gas in which the mutual interaction decreases as $r \exp(-n^t)$, ($r,t>0$), when the nterparticle distance $n\to\infty$. We prove that such a system cann... | CommonCrawl |
Mass Ave - a long road that goes to $+\infty$ (Atlantic ocean) in the East and $-\infty(0.6-0.8i)$ in the West has decided to reduce its carbon footprint. So they have built a Victorian house in the middle of the road. It's actually a great idea. Drivers may get discouraged and take a different route which will lower t... | CommonCrawl |
So far we have put emphasis on the importance of finding a basis $B_V$ of a finite-dimensional vector space $V$ for which the matrix of a linear operator $T$ with respect to $B_v$, $\mathcal M (T, B_V)$ is upper triangular (or diagonal). One of the reasons why we want to find such a basis is because the eigenvalues of ... | CommonCrawl |
implying $\alpha=\beta=\gamma,\;$ as the sides of an equilateral triangle.
are aslo the side lengths of a triangle.
for $a,b,c\;$ from a triangle.
Hence, $\alpha+\beta\gt\gamma.\;$ Similarly, $\alpha+\gamma\gt\beta\;$ and $\beta+\gamma\gt\alpha,\;$ implying that $\alpha,\;$ $\beta,\;$ $\gamma\;$ are the sides of a tria... | CommonCrawl |
Abstract: Advancements in high temperature superconducting technology have opened a path toward high-field, compact fusion devices. This new parameter space introduces both opportunities and challenges for diagnosis of the plasma. This paper presents a physics review of a neutron diagnostic suite for a SPARC-like tokam... | CommonCrawl |
by Sreyan Chatterjee, Gausia Shaikh and Bhargavi Zaveri.
The legal framework for insolvency resolution in India underwent a structural change when the Insolvency and Bankruptcy Code, 2016 (IBC) was passed in May 2016. Once the provisions relating to corporate insolvency were notified (November 2016), the first cases of... | CommonCrawl |
Abstract: It is known that quantum effects leads to an exponentially rapid destruction of the stochastic phase trajectory of a nonlinear oscillator excited by a regular force exerted on it by an external source. In the present paper, the exponentially growing quantum corrections are completely summed. As a result, the... | CommonCrawl |
6 How to avoid primarily opinion-based holds?
4 Are there double standards for pushy questions, exemplified by two recent ones on nuke power?
41 I'm afraid of chemicals. How do I handle my required uni biology class?
33 Why did no student correctly find a pair of $2\times 2$ matrices with the same determinant and trace... | CommonCrawl |
How did someone discover N, order of G for SECP256k1?
Could someone please explain, in simple and easy terms, how the creators did (or should have) derived the N, order of G for SECP256k1?
I understand that (N-1) is the total number of valid points on the curve, but how was that determined without going through and try... | CommonCrawl |
Recall that in 2-dimensional space, an equation containing the variables $x$ and $y$ represents a curve. We will now extend this to look at equations involving three variables, commonly $x$, $y$, and $z$ (though sometimes $x_1$, $x_2$, and $x_3$) which happen to form surfaces in 3-dimensional space.
We will first outli... | CommonCrawl |
Gelfreich V. G., Lerman L. M.
We study the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Hamiltonian system with two degrees of freedom. We assume that the unperturbed fixed point has two purely imaginary eigenvalues and a non-semisimple double zero one. It is well known that a one-p... | CommonCrawl |
Photonics North 2019 is an IEEE sponsored conference. After many requests from past Photonics North participants, the conference has once again secured technical sponsorship from the IEEE Photonics Society. As a result, Photonics North also gained access to publish with the IEEE. The Photonics North committee will do i... | CommonCrawl |
Commonly used password hashing algorithms work like this today: Salt the password and feed it into a KDF. For example, using PBKDF2-HMAC-SHA1, the password hashing process is DK = PBKDF2(HMAC, Password, Salt, ...). Because HMAC is a 2-round hashing with padded keys, and SHA1 a series of permutations, shifts, rotations ... | CommonCrawl |
We study eigenvalues of 3D Schrödinger operators modified by a stochastic term $V_N$, oscillating at typical frequency $N \gg 1$. Such operators are a rough model for the propagation of waves inside a disordered medium. Using a perturbation argument, we show that eigenvalues converge almost surely as $N \rightarrow \in... | CommonCrawl |
1(a) Define surveying. Classify surveying on the basis of the purposes of the survey.
1(b) Differentiate between Whole circle bearing (WCB) and Reduced bearing system. If $\theta$ is the WCB, what would be the reduced bearing in all four quadrants?
1(d) Define contour and contour interval. State any four characteristic... | CommonCrawl |
This notebook demonstrates quantum teleportation. We first use Qiskit's built-in simulator to test our quantum circuit, and then try it out on a real quantum computer.
This story will involve three individuals. Let's call them Abraham, Alice and Bob.
1: Abraham generates a quantum state $|\psi\rangle = \alpha|0\rangle ... | CommonCrawl |
The result is remarkable avoidance of self-intersection, regardless of how convoluted is the original curve, and ultimate convergence to a "round point." See, e.g., this YouTube Video.
Q. Has this flow been studied along vectors at some fixed angle to the normal? E.g., at $90^\circ$ counterclockwise of the normal, tang... | CommonCrawl |
So what is Sage? Sage is comprehensive mathematics software that you can use from your computer, or even certain mobile devices.
The first thing we'll want to do is get people started up on Sage. Nothing could be easier.
Type "2+2" in the box.
If you ever have trouble during the talk, you can always go and type command... | CommonCrawl |
first the Bell-LaPadula Model cannot capture changes over time. second, more serious problem arises when one considers that subjects in the Chinese Wall model may choose which CDs(company dataset) to access; in other words, initially a subject is free to access all objects. the Bell-LaPadula Model cannot emulate the Ch... | CommonCrawl |
I'm a mathematician doing some work which is related to $\mathcal N=2$ supersymmetric quantum field theory in $d=4$ and am a little confused about the physical notion of moduli space in this context. I apologize in advance if this question is too basic, or too vague, or just kind of stupid. References to appropriate li... | CommonCrawl |
A mathematical model of motion of solid particles withselective permeability and a mixture of moving gases is developedwith the use of averaging principles of mechanics of multiphase media.The derived system of quasi-linear partial differential equations isstudied for a particular one-dimensional isothermal case.
Inter... | CommonCrawl |
which will in general be a $g \times g$ matrix.
Let us imagine a surface where all the period integrals are proportional to each other by some constant of proportionality, so in effect there is only one independent period, and all the information about the surface captured by the other cycles is obtained by simply mult... | CommonCrawl |
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