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(int. Algebra) Inequality result question.
Thread: (int. Algebra) Inequality result question.
Just when I thought I completely understood union and intersection, I ran into something that I just can't figure out.
$\displaystyle [5,\infty)$. Is this correct? If not, why?
Re: (int. Algebra) Inequality result question.
Ye... | CommonCrawl |
The calendars are printed 2-up to fit CD jewel cases -- the output PDF contains a photo of the actual physical output (the bigger one). Can now be compile with xelatex (updated Dec 18, 2018).
Colours, illustrations, fonts etc are customisable. The calendars can be marked with events with date ranges, with different mar... | CommonCrawl |
What is the common notion of equilibrium in economics?
The concept of equilibrium referred to in General Equilibrium Theory is taken from Physics. It coincides with mechanical equilibrium.
equilibrium quantities and prices. In both cases, the mathematical tool is optimization with constraints using the method of Lagran... | CommonCrawl |
Abstract: We use the most recent Type-Ia Supernova data in order to study the dark energy - dark matter unification approach in the context of the Generalized Chaplygin Gas (GCG) model. Rather surprisingly, we find that data allow models with $\alpha > 1$. We have studied how the GCG adjusts flat and non-flat models, a... | CommonCrawl |
A loosely defined concept, a Complex System presents a behavior nontrivially determined by the interactions between its parts. Complex systems often exhibit emergence phenomena, such as swarming and pattern formation. In such systems, nonlinear interactions can lead to memory and feedback mechanisms, self-organized cri... | CommonCrawl |
In this , I could not understand wny in oscillation both the torque would be equal as given in the solution .
I could not understand why they will oscillate and in what direction .
Perhaps they do not oscillate. Perhaps this is a static problem, then it is obvious that the torques must be equal and opposite. But in tha... | CommonCrawl |
[SOLVED] How do we know a quantum state isn't just an unknown classical state?
[SOLVED] When light reflects off a mirror, does the wave function collapse?
[SOLVED] Why does observation collapse the wave function?
[SOLVED] Is there a difference between observing a particle and hitting it with another particle?
[SOLVED] ... | CommonCrawl |
Abstract: In this paper, we investigate the existence of Ulrich bundles on a smooth complete intersection of two $4$-dimensional quadrics in $\mathbb P^5$ by two completely different methods. First, we find good ACM curves and use Serre correspondence in order to construct Ulrich bundles, which is analogous to the cons... | CommonCrawl |
The weak tensor product was introduced by Snevily as a way to construct new graphs that admit a-labelings from a pair of known a-graphs. In this article, we show that this product and the application to a-labelings can be generalized by considering as a second factor of the product, a family G of bipartite (p, q)-graph... | CommonCrawl |
A simple proof of the generalized strong recurrence for any non-zero parameterJun 16 2010Sep 22 2010The strong recurrence is equivalent to the Riemann hypothesis. In the present paper, we give a simple proof of the generalized strong recurrence for all non-zero parameters.
On semi-continuity problems for minimal log di... | CommonCrawl |
Search Results: 1 - 10 of 489917 matches for " F. M. M.;Pimentel "
Abstract: supracrustal rocks of the araí group, together with coeval a-type granites represent a ca. 1.77-1.58 ga old continental rift in brazil. two granite families are identified: the older (1.77 ga) group forms small undeformed plutons, and the youn... | CommonCrawl |
I would like to place the $+$ and $\equiv$ be nearly touching, almost as if they were one symbol. Is it possible to do this?
What I would like is for these two symbols to be touching. the gap between them should not be present. Is there a way to do this?
Bracing the symbols prevents them to get their standard meaning o... | CommonCrawl |
Abstract: The problem of gravitational fluctuations confined inside a finite cutoff at radius $r=r_c$ outside the horizon in a general class of black hole geometries is considered. Consistent boundary conditions at both the cutoff surface and the horizon are found and the resulting modes analyzed. For general cutoff $r... | CommonCrawl |
There is a long history of studying the logic obtained by assigning probabilities, instead of truth values, to first-order formulas. In a 1964 paper, Gaifman studied probability distributions on countable structures that are invariant under renaming of the underlying set – which he called "symmetric measure-models", an... | CommonCrawl |
Why doesn't car fuel/energy consumption scale like the cube of the velocity?
The power required to overcome drag is relative to speed cubed. When I'm driving $100 km/h$ my car consumes $~10 $litres/$100km$. At $200 km/h$ the consumption should be $2^3 × 10$ litres/$100km = 80 $litres/$100km$. Obviously, it's a lot less... | CommonCrawl |
Let $F$ be a field of characteristic different from 2, $\psi$ a quadratic $F$-form of dimension $\geq5$, and $D$ a central simple $F$-algebra of exponent 2. We denote by $F(\psi,D)$ the function field of the product $X_\psi\times X_D$, where $X_\psi$ is the projective quadric determined by $\psi$ and $X_D$ is the Sever... | CommonCrawl |
Probabilist by training. Currently working as a data scientist.
14 Usefulness of Frechet versus Gateaux differentiability or something in between.
12 Why do we care about $L^p$ spaces besides $p = 1$, $p = 2$, and $p = \infty$?
11 Is there an extension of the Arzela-Ascoli theorem to spaces of discontinuous functions? | CommonCrawl |
If $x_1$ and $x_2$ are the roots of $$ax^2+bx+c=0$$ then $x_1^3$ and $x_2^3$ are the roots of which equation?
but from here I realized it's probably pointless to do this since I wouldn't be able to use it, and I'm out of ideas.
Let $B=b/a$ and $C=c/a$. Then $x_1$ and $x_2$ are the roots of $x^2+Bx+C$. Moreover, $x_1+x_... | CommonCrawl |
I'd like to explain to you how to draw chessboards by hand in perfect perspective, using only a straightedge. In this post, I'll explain how to construct chessboards of any size, starting with the size of the basic unit square.
This post follows up on the post I made yesterday about how to draw a chessboard in perspect... | CommonCrawl |
The topic of matrix stability is very important for determining the stability of solutions to systems of differential equations. We examine several problems in the field of matrix stability, including minimal conditions for a $7\times7$ matrix sign pattern to be potentially stable, and applications of sign patterns to ... | CommonCrawl |
Carrithers, J. A. , C. C. Carroll, R. H. Coker, D. E. N. N. I. S. H. Sullivan, and T. A. Trappe. 2007. Concurrent exercise and muscle protein synthesis: implications for exercise countermeasures in space. Aviation, space, and environmental medicine 78:457–462.
Yeo, S. E. , N. P. Hays, R. A. Dennis, P. A. T. R. I. C. K.... | CommonCrawl |
We investigate the efficiency of the recently proposed Restricted Boltzmann Machine (RBM) representation of quantum many-body states to study both the static properties and quantum spin dynamics in the two-dimensional Heisenberg model on a square lattice. For static properties we find close agreement with numerically e... | CommonCrawl |
Simplify $7^2 \times 7^3$ after first writing in factor form.
, which is the same answer.
Simplify $4^3 \times 4 \times 4^5$.
Many questions will be algebraic, meaning that a pronumeral is used. In such questions we multiply the coefficients and apply the multiplication rule to the pronumeral separately.
When there is ... | CommonCrawl |
Mixture density networks (MDN) (Bishop, 1994) are a class of models obtained by combining a conventional neural network with a mixture density model.
We demonstrate with an example in Edward. A webpage version is available at http://edwardlib.org/tutorials/mixture-density-network.
"""Draws samples from mixture model.
R... | CommonCrawl |
I would like to know how one can solve the following optimization problem using Sage.
I would like to have a matrix where every element is an integer from 0 to 9. One can read numbers from the matrix by choosing the starting element and direction from one of the eight direction (horizontal, vertical, diagonal) and go t... | CommonCrawl |
What does this last expression mean?
What happens if the condition $ \mathbb E | X | < \infty $ in the statement of the LLN is not satisfied?
Will convergence become visible if we take $ n $ even larger?
Why does adding independent copies produce a bell-shaped distribution?
itself a convex combination of three beta dis... | CommonCrawl |
Supposing that $\Gamma$ is an infinite, discrete group and that $\beta\Gamma$ is the Stone-Cech compactification of $\Gamma$, the group structure of $\Gamma$ can be extended to a semigroup structure on $\beta\Gamma$ by means of its universal property, for which the right multiplication maps over $\beta\Gamma$ are all c... | CommonCrawl |
J. Math. Study, 52 (2019), pp. 1-17.
We investigate traveling fronts, including pulsating ones, of a forced curvature flow in a plane fibered medium. The main topic of this note is an uniqueness issue of such traveling fronts. In addition to line-shaped profiles, we also consider traveling fronts in the form of V-shape... | CommonCrawl |
Fitting a smooth curve to data points $d_0,\dots,d_n$ lying on a Riemannian manifold $\mathcal M$ and associated with real-valued parameters $t_0,\dots,t_n$ is a common problem in applications like wind field approximation, rigid body motion interpolation, or sphere-valued data analysis. The resulting curve should stri... | CommonCrawl |
Abstract: On a polarised surface, solutions of the Vafa-Witten equations correspond to certain polystable Higgs pairs. When stability and semistability coincide, the moduli space admits a symmetric obstruction theory and a $\mathbb C^*$ action with compact fixed locus. Applying virtual localisation we define invariants... | CommonCrawl |
Suppose $T: V \to W$, why matrices are used as a method of recording the values of the $Tv_j$'s in terms of a basis of $W$?
It said matrices are used as an efficient method of recording the values of the $Tv_j$'s in terms of a basis of $W$.
Why it is related to the basis of $W$?
Does it just mean the after transforming... | CommonCrawl |
Is it true that, for any $1$-form on a $3$-mfld $\alpha$, $\alpha \wedge d\alpha=0$?
Show that the volume element of $V$ is $ϕ_1\wedge\cdots\wedge ϕ_k$.
Show that $1$-form has particular coordinate representation.
$2$-dimensional subbundle of tangent bundle of closed $3$-manifold integrable if and only if $\alpha \wedg... | CommonCrawl |
This is another iteration of beat the casino. That question did not require a practical, implementable strategy, whereas this one does.
The rules are the same and I list them below. However, the OP answer to that question only had a theoretical result with no concrete strategy, and the accepted answer was not much of a... | CommonCrawl |
As an example suppose the set $x_i=1,\ldots,6000$ and $W=24000$. How can I use FrobeniusSolve and apply this constraint to $c_i$ efficiently?
Browse other questions tagged number-theory diophantine-equations or ask your own question.
How to plot the number of Mersenne Primes lower than a given input? | CommonCrawl |
SageMath-Combinat is a software project whose mission statement is to improve the open source mathematical system SageMath as an extensible toolbox for computer exploration in (algebraic) combinatorics, and foster code sharing between researchers in this area. SageMath-Combinat is the reincarnation in SageMath of MuPAD... | CommonCrawl |
Abstract: A method is proposed for calculating the matrix elements and cross sections with a wave function with definite angular momentum. The method consists of calculating the matrix element in which the function with definite angular momentum is replaced by the function $\exp(i\mathbf k\mathbf r-\eta r)$ with subseq... | CommonCrawl |
I have a proof (sketch) of the Strong Law of Large Numbers, at least the "sufficiency" half of it, that seems a little too easy. This is the version where you only assume i.i.d. random variables, and $E[X]<\infty$.
The idea is to derive it ultimately from the special case of i.i.d. Bernoulli r.v.s. That case is relativ... | CommonCrawl |
Oftentimes, you will have an image that you want to extract data from. It will most likely be something annoyingly minor, but will somehow turn into the most important piece to the puzzle that you NEED RIGHT NOW! Okay… maybe that's just me. Sometimes it's nice to be able to extract data from an image you found in a jou... | CommonCrawl |
Notes for Bocconi utilized Math essential half summarizing lecture notes and workouts.
During the last fifteen years, the geometrical and topological tools of the idea of manifolds have assumed a crucial function within the so much complex components of natural and utilized arithmetic in addition to theoretical physics... | CommonCrawl |
We estimate the accretion rates of 235 Classical T Tauri star (CTTS) candidates in the Lagoon Nebula using $ugri$H$\alpha$ photometry from the VPHAS+ survey. Our sample consists of stars displaying H$\alpha$-excess, the intensity of which is used to derive accretion rates. For a subset of 87 stars, the intensity of the... | CommonCrawl |
Abstract: The zero sets of harmonic polynomials play a crucial role in the study of the free boundary regularity problem for harmonic measure. In order to understand the fine structure of these free boundaries a detailed study of the singular points of these zero sets is required. In this paper we study how "degree $k$... | CommonCrawl |
Abstract: The chromoelectric and chromomagnetic fields, created by a static gluon-quark-antiquark system, are computed in the quenched approximation of lattice QCD, in a $24^3\times 48$ lattice at $\beta=6.2$. We study two geometries, one with a U shape and another with an L shape. The degenerate case of the two gluon ... | CommonCrawl |
Abstract: This letter summarises the status of the global fit of the CKM parameters within the Standard Model performed by the CKMfitter group. Special attention is paid to the inputs for the CKM angles $\alpha$ and $\gamma$ and the status of $B_s\to\mu\mu$ and $B_d\to \mu\mu$ decays. We illustrate the current situatio... | CommonCrawl |
At this stage we know what the next answer will be (without working it out) because, as one digit is $0$, the product of the digits will be zero, and hence the answer will also be zero. Whenever a digit is zero, the next answer will be zero!
Thus if we reach $144$ we stay there however many times we apply this rule. We... | CommonCrawl |
A matrix whose number of rows does not equal to the number of columns, is called a rectangular matrix.
Rectangular matrix is a type of matrix and the elements are arranged in the matrix as number of rows and the number of columns. The arrangement of elements in matrix is in rectangle shape. Thus, it is called as a rect... | CommonCrawl |
Did you know, that the string length of my profile name fits perfectly in the allowed space. Can you say conspiracy! LOL.😃 Also, adjoints increases your productivity and makes you drink plenty of water. Rarely to people get really high in math and then want a coffee immediately. I recommend it to mathematicians for th... | CommonCrawl |
Consider an $n \times n$ grid whose top-left square is $(1,1)$ and bottom-right square is $(n,n)$.
Your task is to move from the top-left square to the bottom-right square. On each step you may move one square right or down. In addition, there are $m$ traps in the grid. You cannot move to a square which has a trap.
Wha... | CommonCrawl |
The system already does this by itself but the algorithm is imperfect and some good oldies escape it and would stay dormant without user intervention.
$\ldots$ the only questions I ever saw getting bumped are those that are in 'unanswered' while having an answer, ie, have answer(s) but none with positive score.
The con... | CommonCrawl |
operators, so that the font can be used seamlessly in documents using both.
As of v0.2, this is done automatically when you use \sffamily and \rmfamily.
for instance, using it with the Kepler and Biolinum fonts (kpfonts and biolinum).
then you may write your equations in the form $α+β$ instead of $\alpha+\beta$.
The Cu... | CommonCrawl |
Password Depot is a powerful and very user-friendly password manager which helps to organize all of your passwords – but also, for instance, information from your credit cards or software licenses.
The software provides security for your passwords – in three respects: It safely stores your passwords, guarantees you a s... | CommonCrawl |
This variable has a subscript $x_0$.
These variables also have subscripts: $y_0$, $y_1$. Math in this paragraph is broken.
I'm aware that this workaround exists. It's still very confusing that in the first paragraph you don't have to escape the underscore but you do have to escape it in the second paragraph. I suspect ... | CommonCrawl |
Group of $r$ people at least three people have the same birthday?
Squaring both sides when units are different?
How do you compute eigenvalues/vectors of big $n\times n$ matrix?
+5 How many functions satisfy the property $f(i)<f(j)$ for some $1 \leq i \leq j \leq n$?
+5 Why is tree not uniquely possible with given preo... | CommonCrawl |
How I can plot functions of the kind $f:\Bbb R\to\Bbb C$ in 3D properly?
What I can do to plot functions $f:\mathbb R\to\mathbb C$ in 3D?
By example, how to manage to plot $f(x)=i^x$ in the most direct (and simpler) way? Thank you.
but my problem now is that the axes are not scaled properly, the option scale=1doesnt wo... | CommonCrawl |
For more details, refer to this article. Reference: [Multi-Player Bandits Revisited, Lilian Besson and Emilie Kaufmann, 2017], presented at the Internation Conference on Algorithmic Learning Theorey 2018.
PDF : BK__ALT_2018.pdf | HAL notice : BK__ALT_2018 | BibTeX : BK__ALT_2018.bib | Source code and documentation Publ... | CommonCrawl |
How does $E=mc^2$ put an upper limit to velocity of a body?
How does $E=mc^2$ put a upper limit to velocity of a body? I have read some articles on speed of light and they just tell me that it is the maximum velocity that can be acquired by any particle. How is it so? What is violated if $v>c$ ?
$E_0 = m_0 c^2$ is only... | CommonCrawl |
Inspired by the four colours puzzle.
$n$ is not $2$ or $3$.
It's trivially possible for $n=1$. It's impossible for $n=2$ and $n=3$, because four distinct colours are needed in order to colour any $2\times2$ square in such a way that no two cells of the same colour meet at an edge or vertex.
Let the first row of the $n\... | CommonCrawl |
How could you design an efficient algorithm that uses the least amount of memory space and outputs, in ascending order, the list of integers in the range 0..255 that are not in a randomly generated list of 100 integers?
The aim is to output the number of such integers, and determine if the randomly generated list of 10... | CommonCrawl |
Let's say there's a ball and a (physically ideal - no friction etc.) robotic arm situated in otherwise empty space. The arm takes the ball, moves it around in a circle, and then returns it exactly to where it started. The arm also returns to its starting position.
In this case, there is no displacement overall. The bal... | CommonCrawl |
Abstract: We analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the $\left[SU(3)\right]^5\otimes \mathcal O(3)$ flavor symmetry, acting on Standard Model fermions and right-handed neutrinos. Unlike... | CommonCrawl |
Does this solve the problem that Steve was trying to address?
Using Steve's example as a guide, can you construct a quadratic polynomial which passes through the three points $(1,2), (2, 4), (4, -1)$? Is this the only such quadratic polynomial?
Can you construct a cubic polynomial which passes through the four points $... | CommonCrawl |
Speakers: Mauricio Gutiérrez (Tufts University, Medford, MA, USA), Jim Howie (Heriot-Watt University, Edinburgh, Scotland), Olga Macedońska (Silesian University of Technology, Gliwice, Poland), Conchita Martínez (Universidad de Zaragoza, Spain), Tim Riley (Bristol University, England) .
Automorphisms of a graph product... | CommonCrawl |
Given $N$ assets, the Markowitz mean-variance model requires expected returns, expected variances and a $N \times N$ covariance matrix. The joint distribution is fully defined by these measures.
However I often read that assets are required to be normally distributed for consideration in the mean-variance model. While ... | CommonCrawl |
William Goldman used projective invariants in order to classify a triangle with three adjacent ones . Choi in " Geometric structures on low-dimensional manifolds " wants to generalize Goldman's results to 3-dimensional manifolds , so he also used the projective invariants so that he could classify a tetrahedron with fo... | CommonCrawl |
Nature published a comprehensive obituary reviewing the life and work of Vladimir Voevodsky.
Vladimir Voevodsky comes from a scientific household: his mother was a chemist, his father an experimental physicist. He began to study Mathematics at the Lomonossov Moscow State University, but, although his academic achieveme... | CommonCrawl |
Is this correct? (I'm surprised it doesn't depend on $\alpha$). Where can I find more exercises like this one?
Not the answer you're looking for? Browse other questions tagged calculus tangent-spaces or ask your own question.
how do I find the equation of the tangent plane to the parametric surface?
Find plane equation... | CommonCrawl |
Now, since we just started programming as a class, our TA wants us to use a heuristic approach to solve the problem - e.g. swap assignments until you reach a local maximum etc.
I thought of using the Hungarian algorithm to guarantee an optimal matching in (relatively) feasible time. For this, I constructed a graph with... | CommonCrawl |
Let $\Gamma$ be a finitely generated subgroup of $PSL_2(\mathbb R)$.
3.- Fuchsian and co-compact (ie. the Riemann surface $\mathbb H/\Gamma$ is compact).
I'm not familiar with this field, but I know that there are a lot of works on this question, especially when $\Gamma$ is generated by two elements. In this case, one ... | CommonCrawl |
however, if $X$ is a random variable and $\alpha$ is a parameter, we have to write $p(X; \alpha)$.
I notice several times that the machine learning community seems to ignore the differences and abuse the terms.
For example, in the famous LDA model, where $\alpha$ is the Dirichlet parameter instead of a random variable.... | CommonCrawl |
I have a metric space $(X,d)$. I have a physical situation (data) where each physical entity corresponds to an $x \in X$.
I want to do some mathematical/statistical modeling of this data, but the problem is I cant add two elements of this set, as addition is not defined on them or its not closed under addition operatio... | CommonCrawl |
two shapes in a $2n\times 2n$ grid sheet, can we pick third one?
Can anyone help me with this problem? It just popped to my mind!!!
we have a $2n\times 2n$ grid sheet and a connected shape $L$ consisting of $2n-1$ grid squares. we've cut two copies of $L$ out of the sheet. Is it always possible to cut a third copy of $... | CommonCrawl |
What is correct answer for this IQ task and why?
If I answer 1-10 questions correctly and 38 H, I get IQ 92.
If I answer 1-10 questions correctly and 38 F, I get IQ 93.
So I conclude that correct answer is F.
In the corners (cells: 11,13,31,33) we have some objects. In the middle edges (12,21,23,32) we have operators o... | CommonCrawl |
Abstract: We analyze the properties of the conditional amplitude operator, the quantum analog of the conditional probability which has been introduced in [quant-ph/9512022]. The spectrum of the conditional operator characterizing a quantum bipartite system is invariant under local unitary transformations and reflects i... | CommonCrawl |
The talk is about a classification of order $1$ invariants of maps between $3$-manifolds whose increments in generic homotopies are defined entirely by diffeomorphism types of local bifurcations.
I will mainly concentrate on the oriented situation. In this case the space of integer invariants has rank $7$ for any sourc... | CommonCrawl |
I have a group of $n$ events. The successes don't all come in at once, and and I want to try to predict the actual success rate $s$. The number of successes showing in the system at any given time can be $0$ or greater than $0$.
Is there a way that Bayes's theorem can be used to give the probability of success, given t... | CommonCrawl |
Let's investigate the area of parallelograms some more.
How are the two strategies for finding the area of a parallelogram the same? How they are different?
Study the examples and non-examples of bases and heights of parallelograms. Then, answer the questions that follow.
Examples: The dashed segment in each drawing re... | CommonCrawl |
Let $X = [P/G]$ be a smooth finite type separated DM-stack over $\mathbb C$ given as the quotient of a smooth projective scheme $P$ by the action of a smooth (finite type separated) reductive group scheme $G$.
At atlas of $X$ is an etale morphism $U\to X$ with $U$ an algebraic space.
Thm. If the coarse moduli space of ... | CommonCrawl |
This is my understanding of 'energy compaction' and want to know if it is right. Take a vector. The energy of the vector is the sum of the squares of its elements. If A is the transformation matrix that is unitary, it can be proved that the energy in x and Ax are same. Energy conservation property. Energy compaction me... | CommonCrawl |
Is it possible to determine $A$ and $T$ without assuming the Riemann hypothesis?
Are there any other known results (with explicit) around this question?
The proof uses the Borel-Caratheodory theorem, and can be made effective if you really really want it. Titchmarsh has a series of seven successive constants $A_1, A_2,... | CommonCrawl |
$ax^2+bx+c = 0$ is a quadratic equation in general form. One root is twice the other root.
It is given that one root is twice the second root. So, $\beta = 2 \alpha$. Now, eliminate $\beta$ from both roots relations by using this condition.
Now, replace the value of $\alpha$, obtained from the summation of the roots of... | CommonCrawl |
(a) Find all $3 \times 3$ matrices which are in reduced row echelon form and have rank 1.
(b) Find all such matrices with rank 2.
First we look at the rank 1 case.
For a $3 \times 3$ matrix in reduced row echelon form to have rank 1, it must have 2 rows which are all 0s. The non-zero row must be the first row, and it m... | CommonCrawl |
I got this problem from Rustan Leino, who got it from Jay Misra, who got it from Gerard Huet.
Devise an algorithm that, given an even number $N$, partitions the integers from $1$ to $N$ into pairs such that the sum of the two numbers in each pair is a prime number.
The algorithm is defined recursively on $N$, as follow... | CommonCrawl |
On a question of ZadroznyDec 13 2015We answer a question of Zadrozny.
Maximally transitive semigroups of $n\times n$ matricesDec 30 2011We prove that, in both real and complex cases, there exists a pair of matrices that generates a dense subsemigroup of the set of $n\times n$ matrices.
Diamond can fail at the least ina... | CommonCrawl |
In a graphical model, we say that set $A$ and $B$ are conditionally independent given set $C$ if all routes from $A$ to $B$ are blocked. There are multiple ways for the route to be blocked at a node. One instance for the route to be blocked at a node is when neither the descendants or the node itself is in $C$.
There i... | CommonCrawl |
The area of a rectangle is calculated using the following forumla: $$ Area = L \times H $$ In this equation, \(L\) is the length of the rectangle and \(H\) is the height of the rectangle. The area is found simply by taking the product (multiplication) of those two lengths.
The area of a square is calculated in the same... | CommonCrawl |
Abstract: We construct the extended flow equations of a new $Z_N$-Toda hierarchy taking values in a commutative subalgebra $Z_N$ of $gl(N,\mathbb C)$. We give the Hirota bilinear equations and tau function of this new extended $Z_N$-Toda hierarchy. Taking the presence of logarithmic terms into account, we construct som... | CommonCrawl |
It seems there are a lot of respected physicists appearing on pop-sci programs (discovery channel, science channel, etc.) these days spreading the gospel of "we can know, we must know."
Three examples, quickly: 1) Many programs feature Michio Kaku saying that he is on a quest to find an equation, "perhaps just one inch... | CommonCrawl |
This mini-demo gives you the opportunity to play around with the 2-norm condition number of a $2\times 2$ matrix.
What happens if you choose the columns of the matrix to be nearly linearly dependent?
What happens if you choose the diagonal entries to be very different in magnitude? | CommonCrawl |
We will use Young's inequality to prove the significant Hölder's inequality for $L^1(E)$ and for $L^p(E)$ where $1 < p < \infty$.
Theorem 1 (Hölder's Inequality for $L^1(E)$ and $L^p(E)$): Let $E$ be a measurable set and let $1 \leq p < \infty$ with $q$ the conjugate index of $p$. If $f \in L^p(E)$ and $g \in L^q(E)$ t... | CommonCrawl |
Not sure that there would be a closed formula as Jim has pointed out. You can easily calculate it in examples because you can determine highest weight vectors in $g$ for $m$. Indeed, if $\alpha_1, \ldots \alpha_k$ are simple rooots for $m$, you just need to find those roots $\beta$ of $g$ such that no $\beta + \alpha_i... | CommonCrawl |
Computes Holt-Winters Filtering of a given time series. Unknown parameters are determined by minimizing the squared prediction error.
\(alpha\) parameter of Holt-Winters Filter.
\(beta\) parameter of Holt-Winters Filter. If set to FALSE, the function will do exponential smoothing.
\(gamma\) parameter used for the seaso... | CommonCrawl |
Abstract: Ballistic transport through a collection of quantum billiards in undoped graphene is studied analytically within the conformal mapping technique. The billiards show pseudodiffusive behavior, with the conductance equal to that of a classical conductor characterized by the conductivity $\sigma_0=4e^2/\pi h$, an... | CommonCrawl |
Abstract: Quenched QCD simulations on three volumes, $8^3 \times$, $12^3 \times$ and $16^3 \times 32$ and three couplings, $\beta=5.7$, 5.85 and 6.0 using domain wall fermions provide a consistent picture of quenched QCD. We demonstrate that the small induced effects of chiral symmetry breaking inherent in this formula... | CommonCrawl |
Let $n\geq 4$. Prove that the number of partitions of $n$ into 4 parts equals the number of partitions of $3n$ into 4 parts of size at most $n-1$.
I am stuck on this problem but I suspect I need to establish a bijection by possibly looking at the conjugate of the Ferrer's diagram. Thanks for any help.
Proof: Let $n\geq... | CommonCrawl |
Does "typical" mean mean? or median? It appears that "mean" is intended, because the front page of this census says there are 2,325 billionaires globally, with a combined net worth of 7.3 trillion dollars; the quotient is just around 3.1 billion.
the median of a Pareto distribution is . Let (i. e. measure money in unit... | CommonCrawl |
In calculus, limit and continuity is one of the most crucial topics. A limit of a function is a number that a function approaches as the non dependent variable approaches a given value. We define limit as the value the function is approaching.
A continuous function is one which can be graphed without lifting the pen fr... | CommonCrawl |
For statistics about Wikipedia, see Wikipedia:Statistics.
Statistics is the science of data. It enables the collection, analysis, understanding, and presentation of data. It helps in the study of many other fields, such as medicine, economics, psychology, and marketing. Someone who works in statistics is called a stati... | CommonCrawl |
Abstract: The Chromospheric Lyman-Alpha Spectro-Polarimeter (CLASP) is a suborbital rocket experiment that on 3rd September 2015 measured the linear polarization produced by scattering processes in the hydrogen Ly-$\alpha$ line of the solar disk radiation, whose line-center photons stem from the chromosphere-corona tra... | CommonCrawl |
There are 2 white knights and 2 black knights positioned at a (3 X 3) chess board. Find the minimum number of moves required to replace the blacks with whites and the whites with blacks.
I tried the above in 19 steps and reckon that I'm wrong. Please help !!
What is your take on this? Here is my solution, but it seems ... | CommonCrawl |
I'm trying to convert some pixel coordinates I have into WCS coordinates, ideally into a WCS region for use in some further analysis.
So far I've been able to load and parse a NuSTAR FITS file, do some analysis to make my selections and get the pixel coordinates for the image. For example, after my analysis I would end... | CommonCrawl |
Continuous and bounded function such that limit of average integral does not exist?
If a continuous function $f: U \to \mathbb R$, $U$ open, has compact support, then f is Riemann integrable on $U$. What's $\tilde f$ an extension of?
A compactly supported continuous function on an open subset of $\mathbb R^n$ is Rieman... | CommonCrawl |
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