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>>> Indeed, what does *properly* actually mean now ?
>> (but control sequences in general would be easier).
>> needs to be fixed.
>> First: do we actually want \mathrm to take the font of the text?
Not necessarily; indeed, probably not.
>> terms of Computer Modern, and probably similarly with euler.
>> maths font packa... | CommonCrawl |
How do you calculate/estimate hypersonic leading edge and skin temperatures?
At lower speeds (below Mach 5-ish), stagnation temperature (TAT) is a very accurate proxy for skin temperature. But at mid/high hypersonic speeds (especially in the thin upper atmosphere where mass flow is low), thermal radiation bleeds off a ... | CommonCrawl |
In this article, we'll learn some algorithms based on the simple tools of computational geometry.
What is a sweep line?
A sweep line is an imaginary vertical line which is swept across the plane rightwards. That's why, the algorithms based on this concept are sometimes also called plane sweep algorithms. We sweep the l... | CommonCrawl |
Abstract: For $\alpha \in (1,2]$, the $\alpha$-stable graph arises as the universal scaling limit of critical random graphs with i.i.d. degrees having a given $\alpha$-dependent power-law tail behavior. It consists of a sequence of compact measured metric spaces (the limiting connected components), each of which is tre... | CommonCrawl |
However, $(A - I)^2 = 0$, so I am confused on how to find the generalized eigenvectors. Thanks in advance!
take any vector $u_3$ in $\ker(A-I)^2\smallsetminus\ker(A-I)$, i.e. any vector in $\mathbf R^3$ which does not satisfy the equation $\;x+2y+3z=0$, e.g. $u_3=(1,0,0)$.
set $u_2=(A-I)u_3$. This vector is an eigenvec... | CommonCrawl |
how to sample data for regression that is the most informative?
How to sample $x_1, x_2$ so that I got most informative data?
Perhaps I should ask what's the informative, first.
I think this can be answered by drawing from sequential Monte-Carlo, and quasi Monte-Carlo methods.
Exploitation: but ideally you would rather... | CommonCrawl |
Abstract: This paper is the first part of a systematic survey on the structure of classical groups over general rings. We intend to cover various proofs of the main structure theorems, commutator formulae, finiteness and stability conditions, stability and pre-stability theorems, nilpotency of $\mathrm K_1$, centrality... | CommonCrawl |
The anomaly-anomaly correlator is studied using QCD sum rules. Using the matrix elements of anomaly between vacuum and pseudoscalars \pi, \eta and $\eta^1$, the derivative of correlator $X�^1(0)$ is evaluated and found to be $\approx 1.82 \times 10^-^3 GeV^2$. Assuming that $X�^1(0)$ has no significant dependence on qu... | CommonCrawl |
We explore the top-K rank aggregation problem in which one aims to recover a consistent ordering that focuses on top-K ranked items based on partially revealed preference information. We examine an M-wise comparison model that builds on the Plackett-Luce (PL) model where for each sample, M items are ranked according to... | CommonCrawl |
I asked a perhaps related question here.
Here is my code in below. The goal is that to define a function which must be integrated numerically. The function itself first is calculated over different times, then I give it another input and finally it is integrated . The time needed to complete calculations is 57 seconds.... | CommonCrawl |
> Continued by Rémi and Lilian :ok_hand: !
# 1. What is Python :snake: ?
| **Support?** | Community (StackOverflow, IRC, mailing lists etc) | By MathWorks ?
- On Linux and Mac OS : already installed!
- Takes about 10 minutes... and it's free !
+ **PyCharm** if you want "the most powerful Python IDE ever"
- Or with the ... | CommonCrawl |
Abstract. We isolate a large class of self-adjoint operators $H$ in $L^2(X)$ whose essential spectrum is determined by their behavior at $x\sim\infty$ and we give a canonical representation of the essential spectrum of $H$ in terms of spectra of limits at infinity of translations of $H$. The configuration space $X$ is ... | CommonCrawl |
Seminar — Lisbon Mathematics PhD.
The purpose of the LisMath seminar is to provide an initiation into research as well as to make students train their oral skills. Each LisMath student will be asked to give a talk, based on research papers, chosen from a list covering a variety of research topics. The seminar should be... | CommonCrawl |
Can someone show mathematically how gimbal lock happens when doing matrix rotation with Euler angles for yaw, pitch, roll? I'm having a hard time understanding what is going on even after reading several articles on Google.
Is the only work-around to use quaternions?
"Euler Angles" you can think of as a function $(S^1)... | CommonCrawl |
Let $V$ be the set of all $n\times n$ matrices over a field $F$. Let $A$ be a fixed element of $V$. Define a linear operator $T$ on $V$ by $T(B)=AB$. I am trying to show that if $\lambda$ is an eigenvalue of $A$, then $\lambda$ is also an eigenvalue of $T$.
So suppose $Av=\lambda v$ for some $v\neq 0$ in $V$ and $\lamb... | CommonCrawl |
Gowers norms are useful tools in additive combinatorics in measuring additivity of a subset $A$ in an abelian group $Z$ - how close $A$ is to being a subgroup of $Z$. In this talk, I demonstrate that there are uses of Gowers norms in Euclidean spaces. In particular I show that a measurable subset $E \subset \mathbb R^n... | CommonCrawl |
When are Ehrhart functions of compact convex sets polynomials?
Given a lattice $L$ and a subset $P\subset \mathbb R^d$, we define for each positive integer $t$ $$f_P(L,t)=|(tP\cap L)|$$ the number of lattice points in $tP$. Let's say $P$ is nice if $f_P(L,t)$ is a polynomial. We know that if $P$ is a convex polytope wi... | CommonCrawl |
If $X \times X$ is normal, then is $X \times X \times X$ normal?
I am looking at some topological dimension theory for product spaces, and in trying to construct a certain type of counterexample it's become relevant to consider the question in the title above. I am interested in finding a normal space $X$ whose product... | CommonCrawl |
Jaiteh M, Taly A, Hénin J. 2016. Evolution of Pentameric Ligand-Gated Ion Channels: Pro-Loop Receptors.. Plos One. 11:e0151934.
Moraga-Cid G., Sauguet L., Huon C., Malherbe L., Girard-Blanc C., Petres S., Murail S., Taly A, Baaden M., Delarue M. et al.. 2015. Allosteric and hyperekplexic mutant phenotypes investigated ... | CommonCrawl |
What has to be the general and final formula for calculating the effective memory access time, taking in consideration the $\alpha$-level page table, TLB hit ratio as $h$, miss ratio as $m$, memory access time as $M$, TLB access time as $T$, page fault probability as $p$ and time for page fault servicing as $x$? There ... | CommonCrawl |
have exactly one solution, no solutions, or an infinite number of solutions Give the form of the solutions for the last case.
do not intersect in a single point. Show that for this value of $\alpha$ there is no point common to all these planes unless $\beta = 3$. For the case of the three planes having a common line of... | CommonCrawl |
J. Peradze. On the accuracy of an iteration method when solving a system of Timoshenko equations. Seminar of I. Vekua Institute of Applied Mathematics. 2008წ. Tbilisi, v.34, pp.4-10.
J. Peradze, B. Dzagania, G. Papukashvili. On the accuracy of solution approximation with respect to a spatial variable for a nonlinear in... | CommonCrawl |
Normal subgroup $N$ of a p-group $G$ intersects $Z(G)$ nontrivially; What is wrong with the following trivial argument?
If the answer was this, I don't think my Algebra professor would ask it, so what is wrong with the above argument ?
$Z(N)$ and $Z(G)$ need not be at all related. If $N$ is abelian, then $Z(N) =N$, but... | CommonCrawl |
This paper presents a high-speed sensing and noise cancellation technique for large touch screens, which is called FDCS (Frequency Division Concurrent Sensing). Most conventional touch screen detection methods apply excitation pulses sequentially and analyze the sensing signals sequentially, and so are often unacceptab... | CommonCrawl |
I want to know if this problem can be verified or rejected.
I tried to make a counterexample but I couldn't find anything, I wanted to prove it using the definition too, but I did not get anything. Is there a way to prove, or is there a counterexample?
The left-hand side of your inequality counts the distinct pairs fro... | CommonCrawl |
We are continuing the series on non-unique factorisation. For a handy table of contents, visit the Post Series directory.
Here, $U(R)$ denotes the group of units of $R$. We have already seen in a ring with nontrivial idempotents like $\Z\times \Z$, a nontrivial idempotent $e$ will be satisfy $e\sim e$ and $e\approx e$,... | CommonCrawl |
Аннотация: Let $\mathcal L$ be the class of locally compact abelian (LCA) groups. For certain subclasses $\mathcal S$ of $\mathcal L$, we obtain information about the groups $X\in\mathcal S$ such that the ring $E(X)$ of continuous endomorphisms of $X$ is commutative. The main results concern torsionfree groups, groups ... | CommonCrawl |
Abstract: An $E_0$-semigroup of $B(H)$ is a one parameter strongly continuous semigroup of $*$-endomorphisms of $B(H)$ that preserve the identity. Every $E_0$-semigroup that possesses a strongly continuous intertwining semigroup of isometries is cocycle conjugate to an $E_0$-semigroup induced by the Bhat induction of a... | CommonCrawl |
From the discussion here, it seems that general Hochschild cohomology classes correspond to deformations where the deformation parameter can have nonzero degree.
How can I interpret this geometrically? What is the "base space" of the deformation? What kind of object is it?
In other words, what is the "Spec" of a graded... | CommonCrawl |
Abstract: Symmetry of information states that $C(x) + C(y|x) = C(x,y) + O(\log C(x))$. We show that a similar relation for online Kolmogorov complexity does not hold. Let the even (online Kolmogorov) complexity of an n-bitstring $x_1x_2... x_n$ be the length of a shortest program that computes $x_2$ on input $x_1$, com... | CommonCrawl |
potential applications in targeting and bioseparation. Figure 6 Room temperature magnetization curves of bare Fe 3 O 4 and Fe 3 O 4 @Y 2 O 3 :Tb 3+ composite particles. Conclusions Bifunctional [email protected]:Tb3+ composites were prepared using a facile urea-based homogeneous precipitation method. These composite pa... | CommonCrawl |
This is the twelfth part of "An Outsider's Tour of Reinforcement Learning." Part 13 is here. Part 11 is here. Part 1 is here.
This series began by describing a view of reinforcement learning as optimal control with unknown costs and state transitions. In the case where everything is known, we know that dynamic programm... | CommonCrawl |
From the graph we see that the points of intersection are $(1,5)$ and $(3,3)$. See step-by-step solution for analytical check.
We read from the graph the points of intersection $(1,5)$ and $(3,3)$ ($x$ coordinate is cited 1st, and $y$ coordinate is cited second). To analytically check them we have to substitute $x$ and... | CommonCrawl |
I asked the question Fourier series is to Fourier transform what Laurent series is to …? over at MSE, since that's where my questions usually belong to. But since I couldn't find any resources on it, I was wondering if it were actually adequate for migration to MO?
To summarize that question, it is about the similarity... | CommonCrawl |
When I tried some of the questions that involved matrices with complex eigenvalues, I sometimes ended up with matrices whose reduced row echelon forms that have pivot positions on each column (after subracting the main diagonal entries with the eigenvalues; no free variables). Does this sometimes happen whenever I try ... | CommonCrawl |
Abstract: The mass of the bottom quark (both the pole mass $M_b$ and the $\MSb$ mass $m_b$) and the strong coupling constant $\alpha_s$ have been determined from QCD moment sum rules for the $\Upsilon$ system. In the pole-mass scheme large perturbative corrections resulting from coulombic contributions have been resumm... | CommonCrawl |
Abstract. Motivated by recent claims of a proof that the length scale exponent for the end-to-end distance scaling of self-avoiding walks is precisely $7/12=0.5833\ldots$, we present results of large-scale simulations of self-avoiding walks and self-avoiding trails with repulsive contact interactions on the hypercubic ... | CommonCrawl |
Y. Cheng, S. Friedman, and J. D. Hamkins, "Large cardinals need not be large in HOD," Annals of Pure and Applied Logic, vol. 166, iss. 11, pp. 1186-1198, 2015.
Abstract. We prove that large cardinals need not generally exhibit their large cardinal nature in HOD. For example, a supercompact cardinal $\kappa$ need not be... | CommonCrawl |
Fang, Min, Pascucci, Ilaria, Edwards, Suzan, et al.. "A New Look at T Tauri Star Forbidden Lines: MHD-driven Winds from the Inner Disk." The Astrophysical Journal, 868, no. 1 (2018) https://doi.org/10.3847/1538-4357/aae780.
Magnetohydrodynamic (MHD) and photoevaporative winds are thought to play an important role in th... | CommonCrawl |
Format: MarkdownItexstarted to (re)structure the entry [[higher category theory]] roughly along the lines of the new structure at [[category theory]]. But for the moment many sections just contain link lists.
started to (re)structure the entry higher category theory roughly along the lines of the new structure at categ... | CommonCrawl |
I have built a logistic regression where the outcome variable is being cured after receiving treatment (Cure vs. No Cure). All patients in this study received treatment. I am interested in seeing if having diabetes is associated with this outcome.
My question is: Why don't the p-values and the confidence interval inclu... | CommonCrawl |
Bracket on $\mathcal C^\infty(TM)$ in classical mechanics ?
Dirac bracket on a Poisson manifold in relation to the Courant bracket on the Whitney sum.
When do phase space functions' Poisson brackets inherit the Lie algebra structure of a symmetry?
What is the connection between Poisson brackets and commutators? | CommonCrawl |
We present results from recent experimental and theoretical investigations of DNA hairpin retraction from an $\alpha$-hemolysin nanopore in the presence of an assisting voltage. By mapping the translocation process to that of biased diffusion of a Brownian particle we compute the probability of the polymer to stay in t... | CommonCrawl |
One of the candidates to reconcile quantum mechanics with general relativity is the generalization of the Heisenberg Uncertainty Principle to incorporate gravitational effects.As a result, the Generalized Uncertainty Principle (GUP) "deforms" the commutation relation given by the Heisenberg Uncertainty Principle via a ... | CommonCrawl |
Given a permutation $w$ in $S_n$, the matroid of a generic $n \times n$ matrix whose non-zero entries in row $i$ lie in columns $w(i)$ through $n+i$ is an example of a positroid. We enumerate the bases of such a positroid as a sum of certain products of Catalan numbers, each term indexed by the 3$-avoiding permutations... | CommonCrawl |
Meet Vincent. He's a painter and quite the eccentric. He just got a new commission, to embellish the façade of an old building on the fancy side of the town. The neighbors just want the ugly wall to disappear. For inspiration, he goes to take a look at the building. Those darn kids – they painted graffiti all over it. ... | CommonCrawl |
What is too big for standard linear algebra/optimization methods?
Different numerical linear algebra and numerical optimization methods have different size regimes where they're a 'good idea', in addition to their own properties. For example, for very large optimization problems, gradient, stochastic gradient and coord... | CommonCrawl |
Abstract: In 1969, Vic Klee asked whether a convex body is uniquely determined (up to translation and reflection in the origin) by its inner section function, the function giving for each direction the maximal area of sections of the body by hyperplanes orthogonal to that direction. We answer this question in the negat... | CommonCrawl |
Nguyen Van Thoai. Decomposition branch and bound algorithm for optimization problems over efficient sets. Journal of Industrial & Management Optimization, 2008, 4(4): 647-660. doi: 10.3934\/jimo.2008.4.647.
Yinfei Li, Shuping Chen. Optimal traffic signal control for an $M\\times N$ traffic network. Journal of Industria... | CommonCrawl |
У нас вы можете загрузить совершенно даром Password Depot 12.0.5.
Password Depot - эффективный инструмент, управления всеми Вашими паролями. Вы больше никогда не забудете пароль. Password Depot Professional защищает Ваши пароли от внешнего несанкционированного доступа и при этом она очень удобна в использовании. Особен... | CommonCrawl |
Today I am starting to learn Markov chain and this is a question I've got.
A simple message - either "yes" or "no" - is passed from one person to the next in a large group. Each person who receives the message "yes" has probability $ p $ of passing on the message "yes", and probability $ 1-p $ of passing on the message... | CommonCrawl |
1 . What should come in place of the question mark (?) in the following equations?
2 . What should come in place of the question mark (?) in the following equations?
3 . What should come in place of the question mark (?) in the following equations?
14 $\times$ 18.6 $\div$ 12 + 19.3 = ?
4 . What should come in place of ... | CommonCrawl |
The author introduces the notion of a Galois extension of commutative $S$-algebras ($E \infty$ ring spectra), often localized with respect to a fixed homology theory. There are numerous examples, including some involving Eilenberg-Mac Lane spectra of commutative rings, real and complex topological $K$-theory, Lubin-Tat... | CommonCrawl |
In this paper, we introduce the class of ideals with $(d_1,\ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,\ldots,d_m)$-linear quotients. In particular we show that their... | CommonCrawl |
Abstract: We present results from the Wendelstein Weak Lensing (WWL) pathfinder project, in which we have observed three intermediate redshift Planck clusters of galaxies with the new 30'$\times 30$' wide field imager at the 2m Fraunhofer Telescope at Wendelstein Observatory. We investigate the presence of biases in ou... | CommonCrawl |
Let $R$ be a commutative ring. The zero divisors of $R$, which we denote $Z(R)$ is the set-theoretic union of prime ideals. This is just because in any commutative ring, the set of subsets of $R$ that can be written as unions of prime ideals is in bijection with the saturated multiplicatively closed sets (the multiplic... | CommonCrawl |
Can I apply word2vec to find document similarity?
I appreciate word2vec is used more to find the semantic similarities between words in a corpus, but here is my idea.
Essentially, we are weighing and summing the word vectors for each word in a document.
Each document is now represented by an $N\times 1$ dimensional vec... | CommonCrawl |
The subtraction operation in the domain of integers $\Z$ is written "$-$".
As the set of integers is the Inverse Completion of Natural Numbers, it follows that elements of $\Z$ are the isomorphic images of the elements of equivalence classes of $\N \times \N$ where two tuples are equivalent if the difference between th... | CommonCrawl |
Abstract: The paper studies a subclass, referred to as $PBDD(n_1,n_2)$, of the class of nonsingular $H$-matrices. A new characterization of matrices in $PBDD(n_1,n_2)$ is suggested. Two-sided bounds for the determinants of matrices in the class $PBDD(n_1,n_2)$ are derived, and their applications to strictly diagonally ... | CommonCrawl |
The extra bonus DVD features the four music videos for this album, the 5.1 mixes, tour programs, and an hour long VHS-like recording of a rehearsal of this tour that makes you feel like a fly on Genesis' wall. Worth the price I paid, I'm very happy to finally get rid of my old CD of it for once & That's All!... The Boo... | CommonCrawl |
Abstract : A packing of subsets $\mathcal S_1,\dots, \mathcal S_n$ in a group $G$ is a sequence $(g_1,\dots,g_n)$ such that $g_1\mathcal S_1,\dots,g_n\mathcal S_n$ are disjoint subsets of $G$. We give a formula for the number of packings if the group $G$ is finite and if the subsets $\mathcal S_1,\dots,\mathcal S_n$ sa... | CommonCrawl |
When does a sheaf of categories represent a homotopy sheaf?
Suppose that $F$ is a sheaf of categories (on a Grothendieck site or even a topological space). By this, I mean a sheaf in the naive 1-categorical sense, so it can equivalently be viewed as a category object in sheaves of sets. By taking the nerve, one can vie... | CommonCrawl |
Performs a safe (local) redirect, using wp_redirect().
If the host is not allowed, then the redirect defaults to wp-admin on the siteurl instead. This prevents malicious redirects which redirect to another host, but only used in a few places.
(string) (Required) The path or URL to redirect to.
(int) (Optional) HTTP res... | CommonCrawl |
Since $g\circ f\,$ is a bijection, $f\,$ is bound to be an injection.;an injection.;a surjection.;a bijection Indeed, $f(x_1)=f(x_2)\,$ $x_1\ne x_2,\,$ would imply $g(f(x_1))=g(f(x_2))\,$ in contradiction with $g\circ f\,$ being a bijection.
Since $f\,$ is an injection but not a surjection, |X|\lt |Y|.;$|X|\lt |Y|.$;$|... | CommonCrawl |
Consider a piece that starts at a corner of an ordinary $8 \times 8$ chessboard. At each turn, it moves one step, either up, down, left, or right, with equal probability, except that it must stay on the board, of course, and it must not return to a square previously visited.
Clarification. On any given step, if the pie... | CommonCrawl |
Weak convergence in a Hilbert space is defined as pointwise convergence of functionals associated to the elements of the space. Specifically, weakly if the associated functionals converge to pointwise.
The triangle inequality shows that strong convergence implies weak convergence, as expected. And the converse is not n... | CommonCrawl |
You're standing outside your apartment building after a late night out, with perhaps one beer too many, and you realize you have completely forgotten the code to get in. Luckily, you're a mathematical genius, and somehow that part of the brain is completely unaffected by the alcohol, so you decide to find the optimal s... | CommonCrawl |
That is, the future stock price follows a normal distribution.
I am now confused, which process do I use to answer questions about the probabilistic nature of future stock prices?
The context for my last question can be found here.
1) Why do we use geometric Brownian motion ($\ln S_t-\ln S_0$ is normally distributed)? ... | CommonCrawl |
A fence consists of $n$ vertical boards. The width of each board is 1 and their heights may vary.
You want to attach a rectangular advertisement to the fence. What is the maximum area of such an advertisement?
The first input line contains an integer $n$: the width of the fence.
After this, there are $n$ integers $k_1,... | CommonCrawl |
You have a bathtub with two taps (cold and hot). Each tap pours out water at a fixed temperature. You can control the flow rate of each tap separately. For each tap, you can set the rate from 0 to the maximum rate for that tap. You are given the cold temperature, the hot temperature, the two maximum rates, and a target... | CommonCrawl |
Three argon gas-puff implosions were performed on the Z-machine at SNL. These three loads had the same density profile from an 8cm dia. nozzle, a 1mg/cm mass, and a 2.5cm length. The experiments produced similar radiative powers and yields (B. Jones et al. PoP 22,020706(2015)). Simulations with the 2D MHD code Mach2-TC... | CommonCrawl |
Keywords Molecular Dynamics, Brittle Fracture, Crack Propagation, Grain Boundary ,$\alpha$-Fe.
Abstract In this paper, we present a classical molecular dynamics algorithm and its implementation on Cray C90 and Fujitsu VPP700. The characters of this algorithm consist in a grid based on the block division of the atomic s... | CommonCrawl |
Each column, each row and each box ($3\times3$ subgrid) must have the numbers $1$ through $9$.
The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid. At the bottom and right side of the $9\times9$ grid are numbers, each of which is the pr... | CommonCrawl |
Let's say I have 20 people who rated a service, the average rating for them was 4/5. If a new person did the rating for 3/5, what's the new average of rating?
Note the answer doesn't have to be exact, I am using the calculation for rating component, so I am going to round the result as I will have only integers.
Assumi... | CommonCrawl |
The king of Ebonchester has just returned from his recent conquests of Baronshire and with him he brought four cart loads of plunder. However Baronshire is known for its lacklustre fiscal regulation, so the king would like to test the authenticity of every coin. The problem is his old accountant died at his side in bat... | CommonCrawl |
Say I have an $N \times N$ matrix and I want to know the eigenvalues to a precision of $\pm \epsilon$. How many qubits and how many gates do I need?
Browse other questions tagged algorithm quantum-gate or ask your own question.
HHL algorithm, how to decide n qubits to prepare for expressing eigenvalue of A?
If $|\psi\r... | CommonCrawl |
If $(X,d)$ is a metric space, the Hilbert compression of $X$ is the supremum of all $\alpha$'s for which there exists a Lipschitz embedding $f$ from X to a Hilbert space, such that $C.d(x,y)^\alpha \leq \|f(x)-f(y)\|$ for every $x,y\in X$. When $G$ is a finitely generated group, Hilbert compression is a quasi-isometry ... | CommonCrawl |
Short selling (also known as shorting or going short) refers to selling securities or other financial instruments that you do not currently own. Traders go short when they believe the price of a security will decline in the future.
A few days later, HPQ's share price declines to $25. You can then buy back the shares yo... | CommonCrawl |
I am wondering if there are known conditions on the Neumann datum $g$ which guarantee the physical solution $u$ of problem (NP) (the unique solution under the growth condition in space) to be bounded or to have a limit as $t$ goes to $+\infty$ (by intuition I would say a condition on the integral of $g$). I am interest... | CommonCrawl |
What would be the restrictions to diagonalization of this type transformation of Laplacian matrix?
What I would like to know is if the ULW matrix has restrictions to be diagonalized, and what would they be?
Browse other questions tagged graph-theory diagonalization graph-laplacian or ask your own question.
Proving Cayl... | CommonCrawl |
The majority of limit-cycle oscillators have the intrinsic property of amplitude dependent frequency or shear, meaning that transient trajectories corresponding to different amplitudes have different average frequencies. This property does not typically affect the stability of a solitary oscillator and is best illustra... | CommonCrawl |
Using equipment, especially equipment that matches the character's current class.
Leveling up. Every two levels gained (up to and including level 100) applies a one-point level bonus to all attributes.
Receiving a buff from a skill.
Receiving a buff by performing a Perfect Day.
Every time players level up, they gain 1 ... | CommonCrawl |
Abstract: It is well known that ill-posed problems in the space $V[a,b]$ of functions of bounded variation cannot generally be regularized and the approximate solutions do not converge to the exact one with respect to the variation. However, this convergence can be achieved on separable subspaces of $V[a,b]$. It is sho... | CommonCrawl |
Abstract: We construct D-branes in the Nappi-Witten (NW) and Guadagnini-Martellini-Mintchev (GMM) gauged WZW models. For the $SL(2,R)\times SU(2)/U(1)\times U(1)$ NW and $SU(2)\times SU(2)/U(1)$ GMM models we present the explicit equations describing the D-brane hypersurfaces in their target spaces. In the latter case ... | CommonCrawl |
Just would like some help on getting my understanding on the right footing on certain terms.
A balanced expression; such that, it has two expressions on each side.
I would use algorithm to describe this term, because it is essentially an expression with an input. It has its own rules under geometry/calculus on how it m... | CommonCrawl |
I have the following Magma code, and I want to rewrite it in Sage.
Given a lattice L with basis matrix B, return the LLL basis matrix B' of L, together with the transformation matrix T such that B'=TB. The LLL basis matrix B' is simply defined to be a LLL-reduced form of B; it is stored in L when computed and subsequen... | CommonCrawl |
Let be a positive integer. Find the smallest integer with the following property: Given any real numbers such that and for , it is possible to partition these numbers into groups (some of which may be empty) such that the sum of the numbers in each group is at most .
%V0 Let $n$ be a positive integer. Find the smallest... | CommonCrawl |
Justiina and Kotivalo are playing a game, whose initial setting consists of $n$ heaps of coins and a chosen parameter $a$. Justiina begins the game, and the players move alternately. The winner of the game is the player who makes the last move.
At each move the player chooses one of the heaps and removes some number of... | CommonCrawl |
Abstract: A measurement of the number of $J/\psi$ events collected with the BESIII detector in 2009 and 2012 is performed using inclusive decays of the $J/\psi$ . The number of $J/\psi$ events taken in 2009 is recalculated to be $(223.7\pm1.4)\times 10^6$, which is in good agreement with the previous measurement, but w... | CommonCrawl |
For example, without text formatting, the original task in the form of $X = 21^2 + 125^3$ became a task in the form of $X = 212 + 1253$. Help the teacher by writing a program that will, for given $N$ integers from $P_1$ to $P_ N$ determine and output the value of $X$ from the original task.
The first line of input cont... | CommonCrawl |
The MIPP collaboration Paley, J.M. ; Messier, M.D. ; Raja, R. ; et al.
Phys.Rev. D90 (2014) 032001, 2014.
The production yields of PI+ and PI- and the ratio of these yields. The first uncertainty given on each value combines statistical uncertainties and systematic uncertainties from backgrounds.
The MIPP collaboration... | CommonCrawl |
Cosmo puts 100 coins on the table and tells Fredo: "Thirty of these coins are genuine and seventy of them are fake." Then Cosmo leaves the room. On the table, there is a balance with two pans (but there are no weights).
Question: What is the smallest possible number of weighings that guarantee Fredo to identify at leas... | CommonCrawl |
Can you arrange each of the 12 free pentominoes in a $6\times10$ rectangle such that each piece touches the edge of the rectangle?
You can find the answer online if you search a bit and nobody here will be able to tell. You will know, though, and the remorse shall haunt you the rest of your days.
Update: One solution h... | CommonCrawl |
A very important and complicated machine consists of $n$ wheels, numbered $1, 2, \ldots , n$. They are actually cogwheels, but the cogs are so small that we can model them as circles on the plane. Every wheel can spin around its center.
Two wheels cannot overlap (they do not have common interior points), but they can t... | CommonCrawl |
In the game of Power Countdown, you use a set of numbers to make a target number, but unlike the usual Countdown game where you can use $+, -, \times$ or $\div$, the only operations you can use are raising a number to a power, taking the reciprocal of a number, or finding the product of two numbers.
Each number can onl... | CommonCrawl |
I'm a homotopy theorist at the University of Illinois, with interests ranging from higher category theory to p-divisible groups.
Which manifolds are homeomorphic to simplicial complexes?
Are there pairs of highly connected finite CW-complexes with the same homotopy groups?
Why aren't all small categories accessible?
"F... | CommonCrawl |
Abstract: Let $\mathfrak B$ be the variety of associative (special Jordan, respectively) algebras over an infinite field of characteristic 2 defined by the identity $((((x_1,x_2),x_3),((x_4,x_5),x_6)),(x_7,x_8))=0$ ($((x_1x_2\cdot x_3)(x_4x_5\cdot x_6))(x_7x_8)=0$, respectively). In this paper, we construct infinite in... | CommonCrawl |
$2n$ soldiers are standing in a double-row. They have to be rearranged, so that there are no equally tall soldiers in each row - then we shall say, that the soldiers are set up properly.
A single operation consists in swapping two soldiers who occupy the same position (but in different rows). Your task is to determine ... | CommonCrawl |
How exactly analyticity of S-matrix comes from causality principle?
What is the sense of introducing generating functional to the summands of expansion of S-matrix?
Is it indeed the case there are several different S-matrices? If so, why is it "carefully hidden" in the literature? Is it possible to compute the "fully i... | CommonCrawl |
Upon thinking about this question, I have a feeling that there is an interesting general problem like that, but I cannot verbalise it. Here is an approximation.
The question is: given a finitely generated group $G$ and a finite set $S\subset G$, we want to find out whether the subgroup generated by $S$ is the whole gro... | CommonCrawl |
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