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Substantial investments are being made in health research to support the conduct of large cohort studies with the objective of improving understanding of the relationships between diverse features (e.g. exposure to toxins, genetic biomarkers, demographic variables) and disease incidence, progression, and mortality. Lon... | CommonCrawl |
Why is selection sort faster than bubble sort?
All complexities you provided are true, however they are given in Big O notation, so all additive values and constants are omitted.
To answer your question we need to focus on a detailed analysis of those two algorithms. This analysis can be done by hand, or found in many ... | CommonCrawl |
A multi-dimensional array is an array of arrays. 2-dimensional arrays are the most commonly used. They are used to store data in a tabular manner.
Consider following 2D array, which is of the size $$3 \times 5$$. For an array of size $$N \times M$$, the rows and columns are numbered from $$0$$ to $$N−1$$ and columns ar... | CommonCrawl |
You are given an array of $n$ integers. Your task is to calculate the median of each window of $k$ elements, from left to right.
The median is the middle element when the elements are sorted. If the number of elements is even, there are two possible medians and we assume that the median is the smaller of them.
The firs... | CommonCrawl |
Every evening, Farmer John rings a giant bell that summons his cows to the barn for dinner. Eager to get to the barn as quickly as possible, they all follow the shortest possible route to get there.
The farm is described by a set of $N$ fields ($1 \leq N \leq 10,000$), conveniently numbered $1 \ldots N$, with the barn ... | CommonCrawl |
Are covariant derivatives of Killing vector fields symmetric?
A vector field $\zeta$ is conformal on a Riemannian manifold $(M,g)$ if $$\mathcal L_\zeta g=\rho g$$These vector fields have a well known geometrical interpretation. The flow of a conformal vector field consists of conformal transformations.
I want to enlar... | CommonCrawl |
Combinatorial argument for solution of recursion behaving similarly as Pascals triangle?
With initial conditions $F(0,d)=1,F(n,1)=1$ and $n\in\mathbb N_0, d\in\mathbb N$.
Can this solution be justified (proven) by a combinatorial argument?
I want to avoid proving it by solving the above recursion in two vairables.
The ... | CommonCrawl |
Riemann Integrability of Cts. Functions and Functions of Bounded Var.
Recall from the Riemann-Stieltjes Integrability of Continuous Functions with Integrators of Bounded Variation page that we proved that if $f$ is a continuous function on $[a, b]$ and $\alpha$ is a function of bounded variation on $[a, b]$ then $f$ is... | CommonCrawl |
Assume there are N independent exponential random variable $(X_1, X_2,..., X_N)$ with parameter $\lambda$. Fix a real number $t > 0$. Let Y be the largest $N$ so that $X_1 + X_2 + \ldots + X_N \leqslant t$ ($Y = 0$ if $X_1 > t$). How to show independent random variable $Y$ has the Poisson distribution with parameter $t... | CommonCrawl |
Schaller, M., Bower, R. G. & Theuns, T. (2013), On the use of particle based methods for cosmological hydrodynamical simulations, 8th International SPHERIC Workshop. Trondheim, Norway, Trondheim.
Mitchell, N.L., Bower, R.G., Theuns, T. & Vorobyov, E.I. (2012), Towards Understanding Simulated Feedback in AMR and SPH Cod... | CommonCrawl |
This is a purely hypothetical example but is provable ignorance useful in cryptography?
For example, let's say I have a trapdoor collision resistant function. I know the trapdoor and therefore some $x_0 \neq x_1$ such that $f(x_0) = f(x_1)$. This is however, hard to find. If someone proves they know $x_0$, I can conclu... | CommonCrawl |
Since Sonya has just learned the basics of matrices, she decided to play with them a little bit.
Sonya imagined a new type of matrices that she called rhombic matrices. These matrices have exactly one zero, while all other cells have the Manhattan distance to the cell containing the zero. The cells with equal numbers h... | CommonCrawl |
Abstract: Often a "classification problem" can be regarded as an equivalence relation on a standard Borel space (i.e., a Polish space equipped just with its σ-algebra of Borel sets). For instance, the classification problem for countable linear orders (on $\omega$) corresponds to the isomorphism equivalence relation on... | CommonCrawl |
I have have calculated Kullback-Leibler divergence which is equal $0.492820258$, I want to know in general what does this number shows me? Generally, Kullback-Leibler divergence shows me how far is one probability distribution from another, right? It is similar to entropy terminology, but in terms of numbers, what does... | CommonCrawl |
In this paper we determine new upper bounds for the maximal density of translative packings of superballs in three dimensions (unit balls for the $l_3^p$-norm) and of Platonic and Archimedean solids having tetrahedral symmetry. These bounds give strong indications that some of the lattice packings of superballs found i... | CommonCrawl |
$$n! = 1\times \cdots\times n$$.
If $n$ is even for example, this algorithm does $[1*n][2*(n-1)]*[3*(n-2)]\cdots$ where each square bracket multiplication is done in one loop iteration. So, it reduces the number of iterations by about half. Of course, all the multiplications are still done.
To test the two programs I w... | CommonCrawl |
This paper studies an infinite-server queue in a Markov environment, that is, an infinite-server queue with arrival rates and service times depending on the state of a Markovian background process. Scaling the arrival rates $\lambda_i$ by a factor $N$, tail probabilities are examined when letting $N$ tend to $\infty$; ... | CommonCrawl |
Abstract: In 1964, Linnik and Skubenko established the equidistribution of the integral points on the determinantal surface $\det X=P$, where $X$ is a $(3\times 3)$ matrix with independent entries and $P$ is an increasing parameter. Their method involved reducing the problem by one dimension (that is, to the determinan... | CommonCrawl |
Chomp is a 2-player game, usually played with chocolate bars.
The players take turns in choosing one chocolate block and "eat it", together with all other blocks that are below it and to its right. There is a catch: the top left block contains poison, so the first player forced to eat it dies, that is, looses the game.... | CommonCrawl |
2.2 When does it fail?
But we shouldn't forget about $\mathbf b$!
the first step of the elimination was to take first and last rows unchanged, and subtract 3 times 1st row from the second.
Can we write it with Matrix Multiplication?
what should we put instead of $[? \ ? \ ?]$ so multiplication takes us from one matrix ... | CommonCrawl |
Abstract : The aim of the paper is to address the long time behavior of the Kuramoto model of mean-field coupled phase rotators, subject to white noise and quenched frequencies. We analyse the influence of the fluctuations of both thermal noise and frequencies (seen as a disorder) on a large but finite population of $N... | CommonCrawl |
We study the number of tilings of skew Young diagrams by ribbon tiles shaped like Dyck paths, in which the tiles are "vertically decreasing". We use these quantities to compute pairing probabilities in the double-dimer model: Given a planar bipartite graph $G$ with special vertices, called nodes, on the outer face, the... | CommonCrawl |
Abstract: In a reasonable topological space, large deviation estimates essentially deal with probabilities of events that are asymptotically (exponentially) small, and in a certain sense, quantify the rate of these decaying probabilities. In such estimates, upper bounds for such small probabilities often require compac... | CommonCrawl |
Approximation of Sobolev functions is a topic with a long history and many applications in different branches of mathematics. The asymptotic order as $n\to\infty$ of the approximation numbers $a_n$ is well-known for embeddings of isotropic Sobolev spaces and also for Sobolev spaces of dominating mixed smoothness. Howev... | CommonCrawl |
Cellular Automata (CA) represent an interesting approach to design Substitution Boxes (S-boxes) having good cryptographic properties and low implementation costs. From the cryptographic perspective, up to now there have been only ad-hoc studies about specific kinds of CA, the best known example being the $\chi$ nonline... | CommonCrawl |
Proving $x^2+x$ uniformly continuous in (0,1) using $\epsilon, \delta$.
Note that $|x^2-y^2|=|(x-y)(x+y)|$ and $x,y\in(0,1)$ so $(x+y)>0$$\space$ and $<2$. So it's equal to $|x-y|(x+y)<2\delta$.
It's this okay? How could I write it better? Am I wrong somewhere? Thanks.
You are correct. The same result can be obtained i... | CommonCrawl |
Quantitative magnetic resonance imaging (qMRI) finds increasing application in neuroscience and clinical research due to its sensitivity to micro-structural properties of brain tissue, e.g. axon, myelin, iron and water concentration. We introduce the hMRI--toolbox, an easy-to-use open-source tool for handling and proce... | CommonCrawl |
The Center for Geometry and Physics is loosely organized into multiple research groups, each of which comprises a senior scholar who leads the group and several researchers whose areas of expertise and interest overlap synergistically. A brief description of each group's areas of focus, research goals, and members can ... | CommonCrawl |
dc.identifier.citation Alvarez Montaner, Josep; Zarzuela, Santiago. "Linearization of local cohomology modules". A: Commutative algebra : interactions with algebraic geometry. Providence : American Mathematical Society, 2003, p.1-13. (Contemporary mathematics; 331). ISBN 0821832336.
dc.description.abstract The aim of t... | CommonCrawl |
The instructional materials for Dimensions Math Grade 6 do not meet expectations for alignment to the CCSSM. In Gateway 1, the instructional materials do not meet the expectations for focus as they assess above-grade-level standards but do devote at least 65% of instructional time to the major work of the grade. For co... | CommonCrawl |
We study a direct flux breaking scenario in all three heterotic string theroies on general Calabi-Yau (CY) threefolds. We show background independent formulae to construct three-generation models without chiral exotics from $SO(32)$, $SO(16)\times SO(16)$ and $E8\times E8$ heterotic string theories. In this talk, we sh... | CommonCrawl |
This post is for jogging my old memory about a bit of theory behind it. I could go deeper about this subject. But for now, I only consider the simple case at least applicable to calculating square root.
I follow notations from above sketch.
Given $a \le 0$, we want to calculate $r$ s.t. $a = r^2$ and $r >= 0$.
For the ... | CommonCrawl |
I also have a youtube channel where I upload programming contest solutions.
17 What do we do with so many similar combinatorics questions?
10 Completely normal comments being deleted by administrator?
32 can another topology be given to $\mathbb R$ so it has the same continuous maps $\mathbb R\rightarrow \mathbb R$?
24... | CommonCrawl |
I'm trying to figure out how to calculate the number of whole pixels in a pixel circle using the diameter of the circle.
I understand how to find the area of a circle using diameter. But I'm wondering what else I have to do to round this number correctly. I was looking into the Midpoint circle algorithm, but I don't th... | CommonCrawl |
Though I am having trouble finding out how to do this. In the documentation I did not find any easy way to handle infinite series.
I am sure this would be very helpful to many that struggle with a math problem and need to see it to believe it. A conventional plotting program will not work here, hence I searched for a b... | CommonCrawl |
36 How far out from the Sun is visible light still sufficient to read a book?
30 If all motion is relative, how does light have a finite speed?
26 Couldn't we always redefine units so that inertial mass and gravitational mass are equal?
21 What is a wave function in simple language?
21 What do sine, tan, cos actually m... | CommonCrawl |
I'm a Ph.D student from UChicago, studying with Prof. Emerton. Currently I'm trying to understand the cuspidal subgroup, especially the order of (0)−(∞)(0)-(\infty)(0)−(∞), for J0(pq)J_0(pq)J0(pq), where ppp and qqq are distinct primes.
I found in the page of Prof. Stein http://wstein.org/Tables/cuspgroup/index.html w... | CommonCrawl |
Let $B$ be a finite dimensional C$^\ast$-algebra equipped with its canonical trace induced by the regular representation of $B$ on itself. In this paper, we study various properties of the trace-preserving quantum automorphism group $\G$ of $B$. We prove that the discrete dual quantum group $\hG$ has the property of ra... | CommonCrawl |
The associative law of multiplication states that $a\times(b\times c)=(a\times b)\times c$ (where $a$, $b$, and $c$ are real numbers). That is, changing the grouping of numbers to be multiplied does not affect the answer. Therefore, $2(ab)=2\times(a\times b) =(2\times a)\times b=(2a)b$. | CommonCrawl |
$M$ is pseudo-coherent, $L \in D^+(R)$, and $K$ has tor amplitude in $[a, \infty ]$.
Proof. Proof in case $M$ is perfect. Note that both sides of the arrow transform distinguished triangles in $M$ into distinguished triangles and commute with direct sums. Hence it suffices to check it holds when $M = R[n]$, see Derived... | CommonCrawl |
Edit:" please see the attached figure. The blue part is all I have. Also, you can neglect the noise term. Assume the signal is deterministic. Typical values of the unknown parameters $\alpha$ and $\omega_0$ are in the the range [0.25,5]. Note that all the parameters are unknown $A \omega_0, \alpha, \phi_0$. The setup h... | CommonCrawl |
Sylvester equation is a matrix equation of the form $AX+XB=C$.
How to solve $AX=XB$ for $X$ Matrix?
I have two symmetric $3\times 3$ matrices $A, B$. I am interested in solving the system $$AX= XB$$ Is there a way this is usually done? The matrices are not necessarily non singular.
When a solution of the Sylvester equa... | CommonCrawl |
The properties of internal consistency ($\alpha$), classical reliability ($\rho$), and congeneric reliability ($\omega$) for a composite test with correlated item error were analytically investigated. Possible sources of correlated item error are contextual effects, item bundles, and item models that ignore additional ... | CommonCrawl |
Speaker. Mr. E.P. Unny, Chief Political Cartoonist, The Indian Express.
About the speaker. Mr Nakul Bhalla is a graduate in mechanical engineering from the Manipal Institute of Technology. He worked as a central planning engineer at Larsen and Toubro limited and then as a research assistant at IISc Bangalore. Starting ... | CommonCrawl |
The naïve way of calculating this is to read $x_1$ and $p_1$ through $x_k$ and $p_k$ and then crunch the numbers. However, this necessitates a list to keep track of all the numbers and an extra loop at the end to crunch them. Since we don't actually need the numbers, there's an easier way.
Recently, someone challenged ... | CommonCrawl |
Consider a homogeneous space $M$, which for the sake of concreteness, let's take to be $M = \mathbb R^d$. Fix some space $A$, and consider the space of functions $X = C(M,A)$, along with its Borel $\sigma$-algebra $\mathcal B(X)$ and an appropriate $\sigma$-ideal of null sets $\mathcal N(X)$. A measure on $(X,\mathcal ... | CommonCrawl |
Abstract: We study the one loop new physics effects to the CP even triple neutral gauge boson vertices $\gamma^\star \gamma Z$, $\gamma^\star Z Z$, $Z^\star Z \gamma$ and $Z^\star Z Z$ in the context of Little Higgs models. We compute the contribution of the additional fermions in Littles Higgs model in the framework o... | CommonCrawl |
EDIT: I apparently need to rewrite this from the RE's, but I'll leave it for continuity sake. Please read my replies for my point/question clarifications.
The closest is this, though its old and I am disallowed from commenting. What is the proof that the universal constants ($G$, $\hbar$, $\ldots$) are really constant ... | CommonCrawl |
Abstract: Applying the machinery of random matrix theory and Toeplitz determinants we study the level $k$, $U(N)$ Chern-Simons theory coupled with fundamental matter on $S^2\times S^1$ at finite temperature $T$. This theory admits a discrete matrix integral representation, i.e. a unitary discrete matrix model of two-di... | CommonCrawl |
I'm confused about the terminology in the two contexts since I can't figure out if they have a similar motivation. Afaik, the definitions state that quantum processes should be very slow to be called adiabatic while adiabatic thermodynamic processes are supposed to be those that don't lose heat. Based on my current int... | CommonCrawl |
Abstract: This paper discusses what we should mean by "Heisenberg-picture quantum field theory." Atiyah--Segal-type axioms do a good job of capturing the "Schrödinger picture": these axioms define a "$d$-dimensional quantum field theory" to be a symmetric monoidal functor from an $(\infty,d)$-category of "spacetimes" t... | CommonCrawl |
Recent work on information extraction has suggested that fast, interactive tools can be highly effective; however, creating a usable system is challenging, and few publicly available tools exist. In this paper we present IKE, a new extraction tool that performs fast, interactive bootstrapping to develop high quality ex... | CommonCrawl |
Hitchin component for $SL(n,R)$ is the component in the space of surface group representations into $SL(n,R)$ which can deform to Fuchsian locus. The Hitchin component is in correspondence with the moduli space of $SL(n,R)$-Higgs bundles. I will introduce recent work with Brian Collier on asymptotic behaviors of famili... | CommonCrawl |
Let $\mathscr P$ be a proof system for $\mathcal L$.
That is, some logical formula $\phi$ is not a theorem of $\mathscr P$.
Suppose that in $\mathscr P$, the Rule of Explosion (Variant 3) holds.
Consistency is obviously necessary for soundness in the context of a given semantics.
Therefore it is not surprising that som... | CommonCrawl |
I have been working on the topic of camera pose estimation for augmented reality and visual tracking applications for a while and I think that although there is a lot of detailed information on the task, there are still a lot of confussions and missunderstandings.
I think next questions deserve a detailed step by step ... | CommonCrawl |
If we have an $n \times n$ positive semidefinite matrix $A$ and we have two decompositions such that $A = B B^T = C C^T$ for some $n \times n$ matrices $B$ and $C$.
Is it true that $B$ and $C$ are related by a unitary matrix? Specifically, is $B U = C$ for some unitary matrix $U$?
Browse other questions tagged linear-a... | CommonCrawl |
where B denotes base address, W denotes element size in bytes, n is the number of columns; $L_r$ is the first row number, $L_c$ is the first column number.
A similar formula is given for address in column major order.
I would like to know how this formula is obtained.
To determine the address of an element in this list... | CommonCrawl |
Format: MarkdownItexIf at [[Deligne completeness theorem]] we read > When in the early 70s the connection between topos theory and logic became manifest William Lawvere (1975) pointed out that the theorem may be viewed as a variant of the classical Gödel-Henkin completeness theorem for first-order logic, what could be ... | CommonCrawl |
Proceedings of the 20th International Conference on Artificial Intelligence and Statistics, PMLR 54:1159-1167, 2017.
The stochastic composition optimization proposed recently by Wang et al. minimizes the objective with the composite expectation form: $\min_x (\mathbbE_iF_i ∘\mathbbE_j G_j)(x).$ It summarizes many impo... | CommonCrawl |
This puzzle provides an interesting context which challenges students to apply their knowledge of the properties of numbers. Students need to work with various types of numbers at the same time and consider their relationships to each other (e.g. primes, squares and specific sets of multiples).
Show a $3 \times 3$ grid... | CommonCrawl |
Does charge of the body gets affected by relativity or is constant in all frames of references?
The Lorentz transformations affect position and time, not the charge. Therefore, charge is invariant but the current (i.e. $q\mathbf v$) is not.
That the charge of a body is constant in all frames of reference is proved in s... | CommonCrawl |
$\alpha$ and $\beta$ are two angles of the two right angled triangles and the compound of angle of them is $\alpha + \beta$. The sine of the sum of two angles can be expanded in terms of sine and cosine of both angles.
One the basis of this trigonometric formula, the sum of two arcsin functions can be expressed in math... | CommonCrawl |
What is the time complexity of increasing the precision of finding matrix eigenvalues?
There are various algorithms that output the eigenvalues of an $n \times n$ matrix in time $O(n^3)$. However, I can't find anywhere that tells me about the precision of the output of the algorithm. That is, what is the time complexit... | CommonCrawl |
I am trying to find an $x$ and $y$ that solve the equation $15x - 16y = 10$, usually in this type of question I would use Euclidean Algorithm to find an $x$ and $y$ but it doesn't seem to work for this one. Computing the GCD just gives me $16 = 15 + 1$ and then $1 = 16 - 15$ which doesn't really help me. I can do this ... | CommonCrawl |
where $a$ and $b$ are the coordinates of the centre.
A straight line passing through two points of the circle is called a secant; the segment of it which lies within the circle is called a chord. Chords which are equidistant from the centre are equal. A chord passing through the centre of the circle is called its diame... | CommonCrawl |
Graphene in spintronics has so far meant a material with low spin-orbit coupling which could be used as high-performance spin current leads. If the spin-orbit interaction could be enhanced by an external effect, the material could serve also as an active element in a spintronics device such as the Das-Datta spin field ... | CommonCrawl |
When you study a topic for the first time, it can be difficult to pick up the motivations and to understand where everything is going. Once you have some experience, however, you get that good high-level view (sometimes!) What I'm looking for are good one-sentence descriptions about a topic that deliver the (or one of ... | CommonCrawl |
Will be using this site much less often until things slow down a bit... or not.
22 If a coin toss is observed to come up as heads many times, does that affect the probability of the next toss?
18 Why do parabolas' arms eventually become parallel?
15 Why is there no product/quotient rule for integration?
13 Derivative o... | CommonCrawl |
For gas of identical particles, when we cool it down to extremely low temperature we can see one of two types of behaviour depending on the symmetry of wavefunction with respect to argument interchange, fermion and boson. This happens because particles become indistinguishable at quantum level and their wavefunction wi... | CommonCrawl |
An amateur proof that the popular game is NP-hard.
Boulder Dash is a videogame created by Peter Liepa and Chris Gray in 1983 and released for many personal computers and console systems under license from First Star Software. Its concept is simple: the main character must dig through caves, collect diamonds, avoid fall... | CommonCrawl |
Abstract: The model Hamiltonian of a two-dimensional Bose liquid (proposed earlier by Kane, Kivelson, Lee and Zhang as the Hamiltonian which has Jastrow-type wavefunctions as the ground-state solution), is shown to possess nonrelativistic supersymmetry. For the special value of the coupling constant $\alpha=1/2$ the qu... | CommonCrawl |
Teach our Personalized Swim Instruction© curriculum to classes of only 4 students!
In 1987, Jeff Kelly began creating the Personalized Swim Instruction© curriculum. We offer this unique curriculum at our indoor heated facility from April through August, and at homes associations during June and July. As detailed in the... | CommonCrawl |
Update: I've now started a website motivated by the idea outlined in this post. It's called Physics Travel Guide.com. For each topic, there are different layers such that everyone can find an explanation that speaks a language he/she understands.
Over the years I've had many discussions with fellow students about the q... | CommonCrawl |
The hyperparameter, $\alpha$, lets us control how much we penalize the coefficients, with higher values of $\alpha$ creating simpler modelers. The ideal value of $\alpha$ should be tuned like any other hyperparameter. In scikit-learn, $\alpha$ is set using the alpha parameter. | CommonCrawl |
In the first example Daisy and Akram were counting in twos.
Akram made the longer chain because he made $6$ sets of twos ($6\times2=12$).
Daisy made only $4$ sets of twos ($4\times2=8$).
In the second example they were counting in fives.
Daisy made two sets of fives ($5\times2=10$) and Akram made $3$ sets ($5\times3=15... | CommonCrawl |
Abstract: Here shape space is either the manifold of simple closed smooth unparameterized curves in $\mathbb R^2$ or is the orbifold of immersions from $S^1$ to $\mathbb R^2$ modulo the group of diffeomorphisms of $S^1$. We investige several Riemannian metrics on shape space: $L^2$-metrics weighted by expressions in le... | CommonCrawl |
I still cannot understand why the topic is true.
The feasible region for $Gx \preceq h$ is a polyhedron, which is easy to understand and can be easily drawn on the paper.
The feasible region for $Ax=b$ is the intersection of all affine set defined by $a_i^Tx = b_i$ for each $i$, where $a_i, \forall i$ are rows of $A$. ... | CommonCrawl |
ESAIM: Control, Optimisation and Calculus of Variations articles are available online as soon as the production process is complete.
Designing metrics; the delta metric for curves.
On boundary stability of inhomogeneous $2\times2$ 1-D hyperbolic systems for the $C^1$ norm. | CommonCrawl |
This work considers the organization and performance of computations on parallel computers of tree algorithms for the N-body problem where the number of particles is on the order of a million. The N-body problem is formulated as a set of recursive equations based on a few elementary functions, which leads to a computat... | CommonCrawl |
Imagine I have a bottle with a random quantity of molecular hydrogen, and can apply exactly enough energy to break only one molecule of hydrogen. Is the reaction going to occur or the energy would be shared between other molecules in the bottle?
The questioner asks that exactly enough energy is added to a molecule of h... | CommonCrawl |
A Remark on Gromov-Witten Invariants of Quintic ThreefoldMay 18 2017Jan 05 2018The purpose of the article is to give a proof of a conjecture of Maulik and Pandharipande for genus 2 and 3. As a result, it gives a way to determine Gromov-Witten invariants of the quintic threefold for genus 2 and 3.
The Discrete AKNS-D Hi... | CommonCrawl |
The Fibonacci word starts from $0$ subject to the rules $0 \mapsto 1, 1 \mapsto 01$ (or some variant thereof). The come from cutting sequences of the torus of a line of golden ratio slope. It is a 1D version of the Penrose Tiling.
The Fibonacci word is has minimal complexity above a periodic word -- there are n+1 subwo... | CommonCrawl |
This paper is concerned with an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. by introducing an artificial compressibility t... | CommonCrawl |
How I can compute a matrix given the characteristic equation?
All I found are references and functions that do the exact opposite, but I know the characteristic equation and I need the corresponding matrix / linear system.
I have to find the matrix $A$ such that $A$ itself maps to this polynomial.
However, it is probab... | CommonCrawl |
Since the pioneering work of Heinrich Hertz, perfect-electric conductor (PEC) loop antennas for RF applications have been studied extensively. Meanwhile, nanoloops are promising in the optical regime for their applications in a wide range of emerging technologies. Unfortunately, analytical expressions for the radiation... | CommonCrawl |
Abstract: Recent years have witnessed the trend of leveraging cloud-based services for large scale content storage, processing, and distribution. Data security and privacy are among top concerns for the public cloud environments. Towards these security challenges, we propose and implement CloudaSec framework for secure... | CommonCrawl |
A Diophantine equation is a polynomial equation whose solutions are restricted to integers. These types of equations are named after the ancient Greek mathematician Diophantus. A linear Diophantine equation is a first-degree equation of this type. Diophantine equations are important when a problem requires a solution i... | CommonCrawl |
Abstract: We investigate the hard-thresholding method applied to optimal control problems with $L^0(\Omega)$ control cost, which penalizes the measure of the support of the control. As the underlying measure space is non-atomic, arguments of convergence proofs in $l^2$ or $\mathbb R^n$ cannot be applied. Nevertheless, ... | CommonCrawl |
For greek symbols in Rmarkdown you can use inline formulas, indicated by $ $, i.e. two $ signs. Try this: If the p-value is equal or smaller than the significance level $\alpha$... In finance, the beta (β or beta coefficient) of an investment indicates whether the investment is more or less volatile than the market as ... | CommonCrawl |
I did Google and found out that Quicksort is better then Mergesort, but my question is which is faster among both?
In Merge sort Algorithm when I took input array of size 2 and I got 4 function calls as including original function call with which I call MS algorithm i.e. MS (1,2) and which in turn calls two recursive f... | CommonCrawl |
According to Wikipedia (https://en.wikipedia.org/wiki/Conjugate_prior) the gamma distribution is a conjugate prior for the exponential distribution (with unknown rate-parameter, $\lambda$, and hyperparameters $\alpha$ and $\beta$). Moreover the posterior predictive is the Lomax (a.k.a. Pareto type II) distribution.
Whi... | CommonCrawl |
Abstract: The paper is devoted to the applications of the theory of dynamical systems to the theory of transport phenomena in metals in the presence of strong magnetic fields. More precisely, we consider the connection between the geometry of the trajectories of dynamical systems arising at the Fermi surface in the pre... | CommonCrawl |
D. Stone, Sudakin, D. L., and Jenkins, J. J., "Longitudinal trends in organophosphate incidents reported to the National Pesticide Information Center, 1995–2007", Environmental Health, vol. 8, p. 18, 2009.
K. E. Warner and Jenkins, J. J., "Effects of 17$\alpha$-ethinylestradiol and bisphenol a on vertebral development ... | CommonCrawl |
In the 2012 Olympics Usain Bolt won the 100 metres gold medal with a time of $9.63$ seconds.
Asafa Powell was participating in that same race.
He achieved a time of $11.99 \ \mathrm s = 1.245 \times 9.63 \ \mathrm s$.
So Bolt's average speed was $1.245$ times the average speed of Powell.
Hence, at some point, Bolt was ... | CommonCrawl |
which was found in this question.
In the considered python code the Newton-Krylov iterations are applied and perform quite nice for $\alpha=10$. However this method fails when $\alpha$ is changed from 10 to 15 or more. What might be the reason for this behaviour and is it possible to improve the situation?
Any referenc... | CommonCrawl |
Volume 23, Number 11/12 (2010), 1151-1157.
We consider an estimate of the life span of solutions on a semilinear heat equation. In one dimension, we show that the life span may be estimated from above in terms of the average of two limits as $x\to\pm\infty$ of the initial data. In general dimensions, under some monoton... | CommonCrawl |
Аннотация: We consider the Bayesian problem of estimating the success probability in a series of conditionally independent trials with binary outcomes. We study the asymptotic behaviour of the weighted differential entropy for posterior probability density function conditional on $x$ successes after $n$ conditionally i... | CommonCrawl |
How do you calculate cycles in a symetry group of 5x5 square?
I need to find all the different colorings of the 5x5 square in $n$ colors in a symmetry group using Burnside's lemma. I get that if $c$ is the number of colorings $c=1/|G|*\sum|St(g)|$ And $St(g)$ is $n^t$ where $t$ is the number of cycles that g creates. A... | CommonCrawl |
A second-year graduate student, can be contacted through zzymax1996[dot]gmail.com .
13 Is the unit group of any finitely generated reduced $\Bbb Z$ algebra finitely generated?
10 When does there exist a section of $GL_n(\mathbb Z_p) \rightarrow GL_n(\mathbb F_p)$?
9 Can Yoneda lemma for smooth projective varieties only... | CommonCrawl |
It is a well-established heuristic that most orbits for Bianchi 8 and Bianchi 9 cosmologies are at late times well approximated by a sequence of Bianchi 2 orbits. I will use this heuristic to construct an approximate Poincare-map $\Phi_0$ and will show that this map approximates the actual return-map in the C^0-norm. S... | CommonCrawl |
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