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Probability that the range includes the mean in a sample of $n=4$ from a normal distribution?
If we select one random sample with 4 elements from a normal distribution, and we denote the minimum value among the sample with $a$, and denote the maximum value among the sample with $b$, what is the probability that distanc... | CommonCrawl |
We present direct numerical simulations of Taylor-Couette flow with grooved walls up to inner cylinder Reynolds number of $Re_i=3.76\times10^4$, corresponding to Taylor number of $Ta=2.15\times10^9$. The simulations are performed at a fixed radius ratio $\eta=r_i/r_o=0.714$. The grooves are axisymmetric V-shaped obstac... | CommonCrawl |
Near-fill with 3x1 long triominos, how to do a different void square than the center square?
It's rather easy to fill a $7 \times 7$ board with 16 long triominos, leaving the center square void: see the picture below. But if I want to move the void square in another position, where else could I place it?
Any tromino mu... | CommonCrawl |
Monotone circuit complexity of matroids?
Call a monotone boolean function $f$ a matroid function if its minterms are bases of some matroid. I am interested in monotone circuit complexity of such functions, even when we "tie hands" of these circuits as follows.
Take a monotone boolean circuit and replace Or gates by Sum... | CommonCrawl |
We propose a principled method for gradient-based regularization of the critic of GAN-like models trained by adversarially optimizing the kernel of a Maximum Mean Discrepancy (MMD). We show that controlling the gradient of the critic is vital to having a sensible loss function, and devise a method to enforce exact, ana... | CommonCrawl |
Let $G$ be a topological group such that its homology~$H(G)$ with coefficients in a principal ideal domain~$R$ is an exterior algebra, generated in odd degrees. We show that the singular cochain functor carries the duality between $G$-spaces and spaces over~$BG$ to the Koszul duality between modules up to homotopy over... | CommonCrawl |
Abstract: A closed expression of the Euclidean Wilson-loop functionals is derived for pure Yang-Mills continuum theories with gauge groups $SU(N)$ and $U(1)$ and space-time topologies $\Rl^1\times\Rl^1$ and $\Rl^1\times S^1$. (For the $U(1)$ theory, we also consider the $S^1\times S^1$ topology.) The treatment is rigor... | CommonCrawl |
It is known that the sum of every two narrow operators on $L_1$ is narrow, however the same is false for $L_p$ with $1 < p < \infty$. The present paper continues numerous investigations of the kind. Firstly, we study narrowness of a linear and orthogonally additive operators on Kothe function spaces and Riesz spaces at... | CommonCrawl |
Mirko and Slavko are playing a new game, "Trojke" (Triplets, in English). First they use a chalk to draw an $N \times N$ square grid on the road. Then they write letters into some of the squares. No letter is written more than once in the grid.
The game consists of trying to find three letters on a line as fast as poss... | CommonCrawl |
New methods are proposed for the numerical evaluation of $f(\A)$ or $f(\A) b$, where $f(\A)$ is a function such as $\sqrt \A$ or $\log (\A)$ with singularities in $(-\infty,0\kern .7pt ]$ and $\A$ is a matrix with eigenvalues on or near $(0,\infty)$. The methods are based on combining contour integrals evaluated by the... | CommonCrawl |
Dual subgradient method - no analytical relation between primal and dual variables.
where $\alpha_i$ is the step size and $[\cdot]_+=max(\cdot,0)$.
My question is in some cases, it is hard or impossible to find $x(\lambda)$, i.e., no analytical expression for $x(\lambda)$ (This happens a lot when you have multiple nonl... | CommonCrawl |
Volume 34, Number 5 (2006), 2387-2412.
In this paper we derive one- and two-sample multivariate empirical Bayes statistics (the MB-statistics) to rank genes in order of interest from longitudinal replicated developmental microarray time course experiments. We first use conjugate priors to develop our one-sample multiva... | CommonCrawl |
Given a factorization sequence f, create the enumerated sequence containing the same pairs of primes and exponents.
Any ideas how can I rewrite this line in Sage?
Short answer: For an element f of a finite field F with 2^K elements, one can use for instance its integer representation, then take its binary digits, padde... | CommonCrawl |
I thoroughly enjoyed reading through Peter Norvig's extraordinarily clean and nice solutions to the Advent of Code challenge last year. Inspired by his clean, literate programming style and the convenience of jupyter notebook demonstrations, I will look at several of these challenges in my own jupyter notebooks.
My bac... | CommonCrawl |
Phillip and Lara are saying hello from the Netherlands, where the topography is very flat. Most of the land is barely above sea level!
Since they're having so much fun on their vacation, Phillip and Lara are already thinking about where to go for their next trip. Lara loves to climb mountains, but Phillip loves to scub... | CommonCrawl |
The schema of category theory used without mentioning "category theory"?
I have seen these types of schemas often in contexts where the word "category theory" is not mentioned at all. For example, where $X$ is $R^d$ and $Y$ is $M$ (a manifold). Now I am not at all knowledgeable about category theory, and I only stumble... | CommonCrawl |
Recovering a finite group's structure from the order of its elements.
What number appears most often in an $n \times n$ multiplication table?
What is the optimal strategy in the "Factor Game"?
What arrangement of unit cubes minimizes surface area?
Does this Banach manifold admit a Riemannian metric?
Should I design my ... | CommonCrawl |
Quicktime,Webm,Ogg Over the winter break 2013, while spending some days at the cape with the family, we visited the Province town puzzle shop on New Years Eve. I bought there the Meffert's great challenge as well as Smooth operator, a maze puzzle. More about the second later. The Meffert challence consists of a cube in... | CommonCrawl |
If zero is an eigenvalue are dimensions lost?
This is likely a silly question so sorry in advance. However, I am wondering if I am right in thinking that if zero is an eigenvalue, then some dimension must be lost. My understanding is that eigenvectors are the vectors that are only scaled when some matrix A is applied. ... | CommonCrawl |
A natural number that is the result of multiplication of $n$ by some natural number; hence a number divisible by $n$ without remainder (cf. Division). A number $n$ divisible by each of the numbers $a,b,\ldots,k$ is called a common multiple of these numbers. Among all common multiples of two or more numbers, one (distin... | CommonCrawl |
I understand that the NNG formula relates $Q$, $I_3$, and $Y$ and can be derived in QCD; does this unambiguously predict the electric charge ratios without making assumptions about the definitions of isospin and hypercharge?
If so, this is unintuitive to me! Why does a particle carrying $SU(3)$ color charge care what c... | CommonCrawl |
There is a street of length $x$ whose positions are numbered $0,1,\ldots,n$. Initially there are no traffic lights, but $n$ sets of traffic lights are added to the street one after another.
Your task is to calculate the length of the longest passage without traffic lights after each addition.
The first input line conta... | CommonCrawl |
Of the seven millenium prize problems, Poincaré conjecture is the only solved one. Conjectured by French mathematician Henri Poincaré (who, by the way, went through the same University as I did!!!), it was solved by Russian mathematician Gregori Perelman in 2003. This article explains what the conjecture says.
I wrote ... | CommonCrawl |
Mehta, Prashant P and Ramasarma, T and Kurup, Ramakrishna CK (1990) Investigations on the mechanism of the hypocholesterolemic action of 1-ethoxysilatrane. In: Molecular and Cellular Biochemistry, 97 (1). pp. 75-85.
Intraperitoneal administration of the nontoxic silicon compound, 1-ethoxysilatrane, to the rat did not c... | CommonCrawl |
Is there a method to construct the signal as if it was taken in Nyquist more, without degradation of signal quality? After all, we have more samples than needed, so I do not expect any degradation, right?
Is there are some loss, how much is it, what factors it depends on?
4.Is the technique used in MATLAB lossy?
For th... | CommonCrawl |
In this paper, we prove some common fixed point theorems for finite number of discontinuous, non-compatible mapping on non-complete intuitionistic fuzzy metric spaces and obtain the example. Our research improve, extend and generalize several known results in intuitionistic fuzzy metric spaces.
Jungck, G., Rhoades, B.E... | CommonCrawl |
Let $M$ denote the open Möbius strip, and $\pi:M\to\mathbb S^1$ be the $\mathbb R^1$-bundle. Prove that Whintney sum $\pi:M\oplus M\to\mathbb S^1$ is the trivial $\mathbb R^2$-bundle.
I have no idea. Any advice is helpful. Thank you.
Not the answer you're looking for? Browse other questions tagged vector-bundles klein-... | CommonCrawl |
Graphical calculators have become popular among high school students. They allow functions to be plotted on screen with minimal efforts by the students. These calculators generally do not possess very fast processors. In this problem, you are asked to implement a method to speed up the plotting of a polynomial.
Given a... | CommonCrawl |
Acme has released a brand new safe, secured with electronic 10-button keypad with the digits 0 through 9, with an X-length combination required to unlock. However, due to laziness, the keypad's programmer decides that, instead of requiring a new attempt each time, the safe will only consider the last $x$ button presses... | CommonCrawl |
How do I configure PyCharm so I can edit and run Sage scripts? When I tried selecting Sage's python in C:\Program Files\SageMath 8.0\runtime\opt\sagemath-8.0\local\bin PyCharm said 'cannot setup SDK'.
I am using SageMath 8 on Windows.
[Edit] Rephrased the question because it is partly solved (and is pretty difficult), ... | CommonCrawl |
Simulating a w.s.s. Random Sequence (Chap.
Causal iff $G_Z(z)$ analytic on and outside unit circle.
$S_X(f)$ is real, then zeros/poles are in conjugate pairs; $S_X(f)$ is nonnegative, then $S_X(z)$ zeros/poles have even order; $R_X(0) <\infty$, then there are no real poles.
Causal iff $H(f)$ analytic on and below real ... | CommonCrawl |
After fiddling with other converters I ended up writing my own to do what I needed. I currently use this in my backend toolchain on xyne.archlinux.ca to insert formulae automatically.
I know about texvc but I found it to be poorly documented and very annoying to use. tex2png is a relatively simple bash script with a fe... | CommonCrawl |
Authors who wish to participate in the conference will create documents consisting of a complete description of their ideas and applicable research results. The maximum page count for the manuscript is 5, including all figures, references, and acknowledgements.
Submit the paper and copyright form electronically via [TO... | CommonCrawl |
what is the largest real orthogonal design in $n$ variables?
A real orthogonal design in $n$ variables is an $m \times n$ matrix with entries from the set $\pm x_1,\pm x_2,\cdots,\pm x_n$ that satisfies : $$ A A^T = (x_1^2 + x_2^2 + \cdots x_n^2) I_m $$ Normally the matrix is taken to be square so that $m=n$; in this c... | CommonCrawl |
· Paper Proposals: Authors who wish to participate in the conference need to register with the EDAS on-line submission system and then use it to submit their paper proposals.
o Technical Paper (up to 6 pages), The technical paper submission must be completed on or before the "Submission" deadline listed below.
Review P... | CommonCrawl |
Let n $\in$ N and f: [$0, \infty$) $\to$ R be defined by $f(x) = x^n$ for all $x \ge 0$. Prove that f is an increasing function.
Therefore the function is increasing. Any help with the later part of the problem would be helpful.
Want to show that $a^n<b^n$, i .e. strictly increasing.
The proof can be done much shorter.... | CommonCrawl |
There is an ongoing thread on MMP-9 at the ALSTDI forum: http://www.als.net/forum/yaf_postst53505_MMP9-why-motor-neurons.aspx (requires registration on the said forum).
Z Cavdar, S Ozbal, A Celik, Bu Ergur, E Guneli, C Ural, T Camsari and Ga Guner.
The effects of alpha-lipoic acid on MMP-2 and MMP-9 activities in a rat... | CommonCrawl |
In Theorem 5.2 in Lynche (1988) "A data reduction strategy for splines with applications to the approximation of functions and data", a bound for the difference between the $(l_2,t)$ and $L^2$ norms is given (Equation 5.8), where $(l_2,t)$ is the discrete weighted norm defined in Equation 5.4.
Could this result be exte... | CommonCrawl |
All welcome, I apply a solution based on https://gist.github.com/clifgriffin/728 ... 7b81fa2d8a where a text block is set and the size of the text is automatically selected depending on the length of the text, download https://yadi.sk/d/KExniPdnz1N1cw .
Really looking forward to help on this solution for PHP 5.4.
You n... | CommonCrawl |
Considering cloud instances are usually expensive, and price of cryptocurrencies ( and especially the ones that are still minable with CPU and GPU ) are collapsing lately, most of you must think I'm turning mad. And, indeed, the target of this walkthrough is absolutely NOT BEING PROFITABLE.
Let me now describe my situa... | CommonCrawl |
Why do we take the compressibility factor equal to one when graph is plotted?
I saw the graph of compressibility factor against pressure I was confused to see that all the gases are started by 1 unit of conpressibility factor when pressure is zero. So why do we take the compressibility factor equal to one when the grap... | CommonCrawl |
In recent years, the study of evolution equations featuring a fractional Laplacian has received much attention due to the fact that they have been successfully applied into the modelling of a wide variety of phenomena, ranging from biology, physics to finance. The stochastic process behind fractional operators is linke... | CommonCrawl |
Linear Feedback Shift Registers (LFSRs) can be excellent (efficient, fast, and with good statistial properties) pseudo-random generators. Many stream ciphers are based on LFSRs and one of the possible designs of such stream ciphers is combining outputs of $m$ LFSRs as input of a boolean function $f:GF(2)^m\rightarrow G... | CommonCrawl |
The Relationship of Hemolymph Sugar, Juvenile Hormone and Biogenic Amines to the Three Behavioral States of Mature Honey Bees.
Differences in sugar titers, JH synthesis rate and biogenic amine metabolism correlated with three distinct activity groups or mature bees: resting bees, followers and dancers. Dancers had lowe... | CommonCrawl |
Welcome to our first fully online issue of Parabola Incorporating Function.
It's not every day that a mathematics puzzle makes it into mainstream media. But that's what happened recently with "Cheryl's Birthday problem". This problem was posted by Kenneth Kong, the host of a Singaporean TV show, on his Facebook page on... | CommonCrawl |
Meet McWoof, sheep herding dog extraordinaire. Although he's an expert now, he wasn't always able to divide herds of sheep into smaller groups.
To stop overgrazing, Shepherd McWilliams' sheep have to graze on different fields. So, we need these 18 sheep to be divided into equal groups of 6 sheep each. In this situation... | CommonCrawl |
Carrithers, J. et al., 2004. Concurrent Aerobic and Resistance Exercise Effects on Mixed, Myofibrillar, Mitochondrial, and Sarcoplasmic Protein Synthesis. Medicine & Science in Sports & Exercise, 36, p.S194.
Coker, R.H. et al., 2002. Prevention of Overt Hypoglycemia During Exercise Stimulation of Endogenous Glucose Pro... | CommonCrawl |
These are, without a doubt, the 21 worst gift ideas ever. They're so bad that you probably should stop reading right now. Just go away. We have to do this sort of thing. Because we're All Gifts Considered, we have to consider not only the best gift ideas, but also the worst.
A worst-of option in the form of a call; it ... | CommonCrawl |
Abstract: An aggregate signature scheme is a digital signature that supports aggregation: Given $n$ signatures on $n$ distinct messages from $n$ distinct users, it is possible to aggregate all these signatures into a single short signature. This single signature (and the $n$ original messages) will convince the verifie... | CommonCrawl |
Abstract: In the present paper we consider the problem of Laplace deconvolution with noisy discrete non-equally spaced observations on a finite time interval. We propose a new method for Laplace deconvolution which is based on expansions of the convolution kernel, the unknown function and the observed signal over Lague... | CommonCrawl |
How can I prove that the XOR problem for dimension d is not lineary seperable? How to relate to an even d and an odd d?
These equations obligate wi > 0, for each i.
Now lets take the last equation.
This equation force wi<=0 for all i.
wi > 0, for each i.
Cannot be solved because. On the odd - d case, we'll have to cons... | CommonCrawl |
You have a stick of length $x$ and you want to divide it into $n$ sticks, with given lengths, whose total length is $x$.
On each turn you can take any stick and divide it into two sticks. The cost of such an operation is the length of the original stick.
What is the minimum cost needed to create the sticks?
The first i... | CommonCrawl |
Can someone please clarify this? What do they mean by direction? If I have a one tailed distribution with the mean close to 0 and no negative values, then what exactly would "less" do and "greater" do?
Here's an example of my frequency dist.
The x-axis is # of samples and y-axis is number of components of interest and ... | CommonCrawl |
Abstract : In this paper we define a new type cohomology for multiplicative Hom-associative algebras, which generalize Hom-type Hochschild cohomology and fits with deformations of Hom-associative algebras including the deformation of the structure map alpha.
Moreover, we provide various observations and similarly a new... | CommonCrawl |
Maintain contact with the person talking either visually or with focused listening.
Practice pure listening. Remove all distractions and minimise internal and external filters. Refrain from multi-tasking.
Be sensitive to what is not being said. Listen for voice tone and observe body language for incongruent messages.
P... | CommonCrawl |
Abstract : We consider the structure of aperiodic points in $\mathbb Z^2$-subshifts, and in particular the positions at which they fail to be periodic. We prove that if a $\mathbb Z^2$-subshift contains points whose smallest period is arbitrarily large, then it contains an aperiodic point. This lets us characterise the... | CommonCrawl |
It is known that the cylinder $X:=S^1\times \mathbb R$ is a complex manifold. Does $X$ have analytic functions. i.e, if $f:X\to \mathbb C$ is analytic then is $f$ necessarily constant?
Browse other questions tagged complex-analysis riemann-surfaces or ask your own question.
All analytic functions are constant? | CommonCrawl |
We need to mix 12 gallons of the 15% salt solution.
Let X represent the amount of the 15% salt solution that is to be mixed. The second solution is 8 gallons. That means that the final solution will be 8 + X gallons. We use the following guideline to solve this problem: Amount of salt in the first solution + Amount of ... | CommonCrawl |
This will be an article about the mathematics of algorithms. An algorithm is a set of rules and instructions used to solve a real-life problem. Often this algorithm will then be run on a computer.
One of the focal points of the recent Sydney 2000 Olympic Games was the medal tally. We all want to know which country 'won... | CommonCrawl |
What are preimage resistance and collision resistance, and how can the lack thereof be exploited?
What is "preimage resistance", and how can the lack thereof be exploited? How is this different from collision resistance, and are there any known preimage attacks that would be considered feasible?
For a given $h$ in the ... | CommonCrawl |
Abstract: NP-complete problems abound in every aspect of our daily lives. One approach is to simply deploy heuristics, but for many of these we do not have any idea as to when the heuristic is effective and when it is not. Approximation algorithms have played a major role in the last three decades in developing a found... | CommonCrawl |
This post discusses the equivalence between separating automata and universal graphs beyond parity games.
The goal of this post is to present again the result of this paper, which is a joint work with Thomas Colcombet, but this time in more generality. The paper talks about parity games, and shows the equivalence betwe... | CommonCrawl |
We generalize the construction of linear codes via skew polynomial rings by using Galois rings instead of finite fields as coefficients. The resulting non commutative rings are no longer left and right Euclidean. Codes that are principal ideals in quotient rings of skew polynomial rings by a two sided ideals are studie... | CommonCrawl |
Your boss has hired you to drive a big truck, transporting items between two locations in a city. You're given a description of the city, with locations of interest and the lengths of roads between them. Your boss requires that you take a shortest path between the starting and ending location, and she'll check your odo... | CommonCrawl |
Abstract : Let k be a totally real number field ant let k∞ be its cyclotomic Zp-extension for a prime p > 2. We give (Theorem 3.4) a sufficient condition of nullity of the Iwasawa invariants λ, µ, when p totally splits in k, and we obtain important tables giving quadratic fields and various p for which we can conclude ... | CommonCrawl |
PS Added the link as suggested by quid; the bug is not always there however, right now it reappeared after I reloaded that page.
while the actual content of the garbled part should be "Proof that the homotopy category of a stable $\infty$-category is triangulated"
Thus the whole thing is broken into columns in a wrong ... | CommonCrawl |
For questions about groups, rings, fields, vector spaces, modules and other algebraic objects. Associate with related tags like group-theory, ring-theory, modules, etc. to clarify which topic of abstract algebra is most related to your question and help other users when searching.
"The Egg:" Bizarre behavior of the roo... | CommonCrawl |
Subset $X$ is the set of $x$ in $[a,b]$ for which $f(x)$ is less than $0$ (•).
Let's name the lowest upper bound of $X$ as $x_0$ (•).
If we assume $f(x_0)$ is less than zero or greater than zero then we get a contradiction. Therefore $f(x_0)$ must equal zero.
We know that $X$ will have various upper bounds, which are v... | CommonCrawl |
I wonder which closed orientable 3-manifolds can be embedded in $\mathbb R^4$ and which in $\mathbb R^5$. Is there a way to determine whether given closed 3-manifold, obtained, say by Dehn surgery on knot, can be embedded into $R^4$ ?
Is the answer known for spherical 3-manifolds (finite fundamental group) ?
I am mainl... | CommonCrawl |
Abstract: For space observatories, the glitches caused by high energy phonons created by the interaction of cosmic ray particles with the detector substrate lead to dead time during observation. Mitigating the impact of cosmic rays is therefore an important requirement for detectors to be used in future space missions.... | CommonCrawl |
We investigate the spectrum of the two-dimensional model for a thin plate with a sharp edge. The model yields an elliptic $3\times3$ Agmon–Douglis–Nirenberg system on a planar domain with coefficients degenerating at the boundary. We prove that in the case of a degeneration rate $\alpha<2$, the spectrum is discrete, bu... | CommonCrawl |
What happens when I include a squared variable in my regression?
By doing this my D estimate does not vary from zero any more, with a high p-value. How do i interpret the squared term in my equation (in general)?
Well, first of, the dummy variable is interpreted as a change in intercept. That is, your coefficient $\bet... | CommonCrawl |
Two of the common assumptions for proving hardness of approximation results are $P \neq NP$ and Unique Games Conjecture. Are there any hardness of approximation results assuming $NP \neq coNP$ ? I am looking for problem $A$ such that "it is hard to approximate $A$ within a factor $\alpha$ unless $NP = coNP$".
It is kno... | CommonCrawl |
This week's riddler asks us to simulate a game of baseball using rolls of a dice. To solve this problem, we're going to treat the game of Baseball like a markov chain. To borrow an analogy from one of my favorite professors (Hi, Dr. Popescu!), a markov chain is like a frog hopping among lily pads. The frog has what's c... | CommonCrawl |
a.) for any $\epsilon \gt 0$, there exists $\delta \gt 0$ such that for all $x \in (0,1)$ and $0 \lt |x-x_0| \lt \delta$, one has $|f(x) - L|\lt \epsilon$.
b.) for any $\epsilon \gt 0$, there exists $\delta \gt 0$ such that for all $x \in (0,1)$ and $|x-x_0| \leq \delta$, one has $|f(x) - L|\leq \epsilon$.
c.) for any ... | CommonCrawl |
so consider $\tau_e$ as a function of $x_j$, the result is the got.
Not the answer you're looking for? Browse other questions tagged calculus chain-rule or ask your own question.
How do I express this chain rule?
Chain Rule - What have I done wrong?
How do I apply the chain rule to double partial derivative of a multiv... | CommonCrawl |
We study the configuration space $C(n,w)$ of $n$ non-overlapping unit-diameter disks in an infinite strip of width $w$. We present an asymptotic formula for the $k$th Betti number of $C(n,w)$, for fixed $k$ and $w$ as $n \to \infty$. We find that there is a striking phase transition: for $w > k$ the $k$th homology is s... | CommonCrawl |
I know I can find Dover books on Amazon, but are they also available from normal book stores? My friend's going to Chicago in a couple of days, and I'd thought I'd ask him for a few books I've wanted. If I buy them online, I'm gonna have to pay a rather hefty shipping fee.
Any decent bookshop will probably be more than... | CommonCrawl |
(1) Explain the features of the graph of the relation $|x|+|y|=1$.
(3) Consider the family of relations $x^n+y^n=1$ in the first quadrant.
Choose one particular value of $n$ and show that $y$ decreases as $x$ increases.
(4) Sketch some graphs in all four quadrants of the family of relations $|x|^n+|y|^n=1$ for even val... | CommonCrawl |
Welcome to the first part of our free online course to help you learn $\mathrm\LaTeX$. If you have never used LaTeX before, or if it has been a while and you would like a refresher, this is the place to start. This course will get you writing LaTeX right away with interactive exercises that can be completed online, so ... | CommonCrawl |
The transformation matrix connecting the atomic orbitals (columns of FULLAOSO) with the symmetry-adapted orbitals (rows of FULLAOSO). This matrix multiplied on the left of an AO basis object will transform it to the SO basis. This matrix is in general not unitary. This matrix differs from AO2SOINV in that it is always ... | CommonCrawl |
Abstract: We introduce the monic rank of a vector relative to an affine-hyperplane section of an irreducible Zariski-closed affine cone X. This notion is well-defined and greater than or equal to the usual X-rank. We describe an algorithmic technique based on classical invariant theory to determine, in concrete situati... | CommonCrawl |
Search Results: 1 - 10 of 7899 matches for " Adam Williamson "
Abstract: Global mobile robot localization is the problem of determining a robot's pose in an environment, using sensor data, when the starting position is unknown. A family of probabilistic algorithms known as Monte Carlo Localization (MCL) is currently am... | CommonCrawl |
Suppose that we have two topological spaces $X$ and $Y$, and that $f : X \to Y$ is continuous. If $X$ is a path connected space, then we should expect that the range, $f(X)$, is also path connected. If we take any two points $x$ and $y$ in the range, then there exists two points in the domain, $u$ and $v$ that are mapp... | CommonCrawl |
I need to find a $3 \times 3$ matrix and the determinant of this matrix has to be $0$. I also need to be able to delete randomly chosen column and row to make the determinant nonzero? Is it even I also need to be able to delete randomly chosen column and row to make the determinant nonzero? | CommonCrawl |
If $R$ is a simple Artinian ring, then when is a finitely generated module free?
Here's an exercise from my book, which only gives a brief solution which leaves me very confused.
Let $R$ be a simple Artinian ring, say $R=K_r$. Show that there is only one simple right $R$-module up to isomorphism, $S$ say, and that ever... | CommonCrawl |
Let's imagine that we have two separate models, both used to forecast the return for the next period. Both models are estimated everyday, and both models outputs a probability distribution. How can we evaluate if one model has been better to forecast the distribution of future returns better than the other ?
My first i... | CommonCrawl |
In this paper we study a nonparametric estimation problem for stochastic feedforward systems with nodes of type G/G/$\infty.$ We assume that we have observations of the external arrival and external departure processes of customers of the system, but no information about the movements of the indistinguishable customers... | CommonCrawl |
The aggregate motion of a flock of birds, a herd of land animals, or a school of fish is a beautiful and familiar part of the natural world... The aggregate motion of the simulated flock is created by a distributed behavioral model much like that at work in a natural flock; the birds choose their own course. Each simul... | CommonCrawl |
If you're a teacher read the notes here first.
Have a go at becoming a detective!
You can now explore this further. Click on the picture to get started.
When you've explored what you can do with $3 \times 4 - 5$ then it's time to explore further.
You could change just one part of the number plumber, for example the $-5... | CommonCrawl |
Lemma 14.11.5. Let $U$, $V$ be simplicial sets. Let $a, b \geq 0$ be integers. Assume every $n$-simplex of $U$ is degenerate if $n > a$. Assume every $n$-simplex of $V$ is degenerate if $n > b$. Then every $n$-simplex of $U \times V$ is degenerate if $n > a + b$.
In order to prevent bots from posting comments, we would... | CommonCrawl |
We introduce a class of volume-contracting surface diffeomorphisms whose dynamics is intermediate between one-dimensional dynamics and general surface dynamics. For that type of systems one can associate to the dynamics a reduced one-dimensional model and it is proved a type of $C^\infty$-closing lemma on the support o... | CommonCrawl |
January 2, 2019 Reading time: about 1 minute (322 words).
I don't always use recursion; but when I do, I don't always use recursion.
April 6, 2017 Reading time: less than a minute (162 words).
April 1, 2017 Reading time: less than a minute (152 words).
I started a GitHub repository called UniversalAlgebra/Conferences i... | CommonCrawl |
A functional identity is an identical relation in a ring $R$ that, besides ring elements, also involves functions from $R^n$ to $R$ which are considered as unknowns.
The goal is to find their forms. While this can be accomplished in rather general rings, the problem becomes, apparently paradoxically, very difficult in ... | CommonCrawl |
Results for "Luis Fernández Barquín"
Uniqueness Properties for Discrete equations and Carleman estimatesSep 28 2015Using Carleman estimates, we give a lower bound for solutions to the discrete Schr\"odinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptio... | CommonCrawl |
Abstract: We obtain a construction of the irreducible unitary representations of the group of continuous transformations $X\to G$, where $X$ is a compact space with a measure $m$ and $G=PSL(2,\mathbf R)$, that commute with transformations in $X$ preserving $m$. This construction is the starting point for a non-commutat... | CommonCrawl |
what could be the difference between a closed set and a closed geometric figure ?
Can anyone explain me with an example please.
Two different meanings of closed.
A closed geometric figure is topologically a loop. Like a circle or a polygon. If they don't intersect themselves they're called simple closed curves.
A close... | CommonCrawl |
cvgmt: Scaling in fracture mechanics by Bazant's law: from finite to linearized elasticity.
Scaling in fracture mechanics by Bazant's law: from finite to linearized elasticity.
We consider crack propagation in brittle non-linear elastic materials in the context of quasi-static evolutions of energetic type. Given a sequ... | CommonCrawl |
The recent implementation of a swap Monte Carlo algorithm (SWAP) for polydisperse mixtures fully bypasses computational sluggishness and closes the gap between experimental and simulation timescales in physical dimensions $d=2$ and $3$. Here, we consider suitably optimized systems in $d=2, 3,\dots, 8$, to obtain insigh... | CommonCrawl |
$L_a$: The length of the radiating element of the antenna.
$D_a$: The diameter of the radiating element of the antenna.
It it also my understanding that such an antenna is not actually resonant (Meaning the impedance is purely resistive) when $L_a = 0.5\lambda$, but rather something a tad smaller. A common number I've ... | CommonCrawl |
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