text stringlengths 100 500k | subset stringclasses 4
values |
|---|---|
But of course, this can't be done with an even number $w$.
Note: I'm using Flatten to do a jagged transpose.
Is there a way to improve my generalization to reach @rasher's original efficiency? Or, is there a clever way to get MaxFilter to max over even-numbered windows?
I'd also very much appreciate if someone could ex... | CommonCrawl |
For ease of explanation, suppose that you began with a two-dimensional surface in (x1, x2, x3, x4)-space, and the surface begins as a flat planar region in the (x1, x2)-plane. The boundaries of this flat region is not that important to resolve, but it would have a closed boundary. Pretend it is a square. So this surfac... | CommonCrawl |
Question. How to adjust axes and grid in GUI matlab? how to get more precision for example [-1 -0.5 0] other than [-1 0] I would like to make the axes and the grid more precise as shown in the image below but i dont know how . i would like that when...... Getting Started With MATLAB Prepared by the staff of the Indiana... | CommonCrawl |
Zhigang Wang, Lei Wang, Yachun Li. Renormalized entropy solutions for degenerate parabolic-hyperbolic equationswith time-space dependent coefficients. Communications on Pure & Applied Analysis, 2013, 12(3): 1163-1182. doi: 10.3934\/cpaa.2013.12.1163.
L. Bakker. The Katok-Spatzier conjecture, generalized symmetries, and... | CommonCrawl |
Let $R$ be a commutative ring. then $I\trianglelefteq R\implies R[x]\otimes_R(R/I)\cong R[x]/I[x]$ as rings.
Let $\alpha$ be defined s.t. $\alpha(f(x)\otimes (r+I))=(r+f(x))+I[x]$ where $f\in R[x]$, $r\in R$. then $\alpha:R[x]\otimes_R(R/I)\to R[x]/I[x]$.
$g(x)+I[x]\in R[x]/I[x] \implies g(x)=h(x)\cdot x+c$ for some $c... | CommonCrawl |
General logical metatheorems for functional analysis.
New effective uniformity results in fixed point theory.
Proof mining in $CAT(0)$-spaces and $\mathbb R$-trees.
Model elimination and cut elimination.
Phase transitions in logic and combinatorics.
Primitive Recursive Selection Functions for Provable Existential Asser... | CommonCrawl |
When a function calls itself, its called Recursion. It will be easier for those who have seen the movie Inception. Leonardo had a dream, in that dream he had another dream, in that dream he had yet another dream, and that goes on. So it's like there is a function called $$dream()$$, and we are just calling it in itself... | CommonCrawl |
When I inverse $\Omega$ it gives me an error that Matrix is singular.
In the above document there are some hints how to avoid this error. But I failed to understand that. On the eighth page of the above document - on page 410 - they discuss it in section 4. The GraphSLAM Algorithm portion. If anybody can understand it,... | CommonCrawl |
How exactly to show that s-matrix elements diverges because time-ordering is not well determined?
I was reading the "in-in" formalism (or "closed time path formalism" used in condensed matter physics) in cosmology created by Schwinger in 1961, and there is a saying: "they care about correlation functions instead of S-m... | CommonCrawl |
Abstract: In this paper, we consider discrete-time dynamic games of the mean-field type with a finite number $N$ of agents subject to an infinite-horizon discounted-cost optimality criterion. The state space of each agent is a locally compact Polish space. At each time, the agents are coupled through the empirical dist... | CommonCrawl |
Estimating Parameter - What is the qualitative difference between MLE fitting and Least Squares CDF fitting?
Why are large Hermitian Toeplitz matrices approximately diagonalized by sinusoids?
How to interpret $\int_0^\infty \exp(ikx) dx$ in distribution theory?
"Inverse" of nondecreasing, right-continuous function?
If ... | CommonCrawl |
The goal is to tile rectangles as small as possible with the given hexomino, in this case number 2 of the 25 hexominoes which cannot tile a rectangle alone. We allow the addition of copies of a rectangle. For each rectangle $a\times b$, find the smallest area larger rectangle that copies of $a\times b$ plus at least on... | CommonCrawl |
A "1-expression" is a formula in which you add ($+$) or multiply ($\times$) the number 1 any number of times to create a natural number. Parentheses are allowed.
$1 + 1 + ((1 + 1 + 1 + 1) × (1 + 1 + 1 + 1 + 1)) = 22$.
This is a 1-expression with 11 times a 1 in it.
$1 + ((1 + 1 + 1) × (1 + ((1 + 1) × (1 + 1 + 1)))) = 2... | CommonCrawl |
Here we have collected our favourite sets, from the Mandelbrot set to the Mahut-Isner set!
by Chalkdust. Published on 17 November 2016.
A set is a collection of items. Sprinkled throughout Issue 04 of Chalkdust were some of our favourite sets. Here we have collected them together and we'd really love to hear yours. You... | CommonCrawl |
Parameter estimation is one of the keystones in Adaptive control; the main idea of parameter estimation is to construct a parametric model and then use optimization methods to minimize the error between the true parameter and the estimation. Least-square algorithm is one of the common optimization methods.
I take adapt... | CommonCrawl |
Abstract: The theory of vectors and spinors in 9+1 dimensional spacetime is introduced in a completely octonionic formalism based on an octonionic representation of the Clifford algebra $\Cl(9,1)$. The general solution of the classical equations of motion of the CBS superparticle is given to all orders of the Grassmann... | CommonCrawl |
Are there optimizers where it is possible to specify ordinal ranking of parameters?
Assume that $f$ is smooth ($n$-th order differentiable in each of the parameters).
An approach I often use when applying unconstrained optimisation algorithms to constrained problems is to transform the parameter space such that the con... | CommonCrawl |
All the $n$ and $i$ are the smallest ones. I'm just curious about how fast $n$ increases when $i$ increases.(Under $2\times 10^9$,there's no $n$ for which $i$ is larger than $2000$) .Any comments will be appreciated.
I think your problem is very difficult, more than the usual (difficult) problems about prime numbers. W... | CommonCrawl |
We will explain the proof of a Carleson measure estimate on solutions of parabolic equations with real measurable time-dependent coefficients that implies that the parabolic measure is an $A_\infty$ weight.
This corresponds to the parabolic analog of a recent result by Hofmann, Kenig, Mayboroda and Pipher for elliptic ... | CommonCrawl |
Abstract : Let $f_1,\ldots, f_s$ be formal power series (respectively polynomials) in the variable $x$. We study the semigroup of orders of the formal series in the algebra $K[[ f1,\ldots, f_s]] \subseteq K[[ x ]]$ (respectively the semigroup of degrees of polynomials in $K[f_1,\ldots,f_s]\subseteq K[x]$). We give proc... | CommonCrawl |
The milk business is booming! Farmer John's milk processing factory consists of $N$ processing stations, conveniently numbered $1 \ldots N$ ($1 \leq N \leq 100$), and $N-1$ walkways, each connecting some pair of stations. (Walkways are expensive, so Farmer John has elected to use the minimum number of walkways so that ... | CommonCrawl |
Abstract: In this paper we propose and investigate a novel nonlinear unit, called $L_p$ unit, for deep neural networks. The proposed $L_p$ unit receives signals from several projections of a subset of units in the layer below and computes a normalized $L_p$ norm. We notice two interesting interpretations of the $L_p$ u... | CommonCrawl |
Ardentov A. A., Le Donne E., Sachkov Y. L.
This paper is a continuation of the work by the same authors on the Cartan group equipped with the sub-Finsler $\ell_\infty$ norm. We start by giving a detailed presentation of the structure of bang-bang extremal trajectories. Then we prove upper bounds on the number of switch... | CommonCrawl |
We study correlations in fermionic systems with long-range interactions in thermal equilibrium. We prove an upper-bound on the correlation decay between anti-commut-ing operators based on long-range Lieb-Robinson type bounds. Our result shows that correlations between such operators in fermionic long-range systems of s... | CommonCrawl |
I like short descriptions and I think you so too.
Let's say you have a number, N. Now try to find the last four digits of N!.
I think you know that $ N! = (1 \times 2 \times 3 \times ... \times N) $.
The input begins with a single integer indicating the number of test cases T (1 ≤ T ≤ 100). Each of the following test c... | CommonCrawl |
and let $C_0\subseteq C(X)$ be a subring containing all constants and separating the points of $X$, i.e. for any two different points $x_1, x_2\in X$ there exists a function $f\in C_0$ for which $f(x_1)\neq f(x_2)$. Then $[C_0]=C(X)$, i.e. every continuous function on $X$ is the limit of a uniformly converging sequence... | CommonCrawl |
PDF We analyse an absorption event within the H$\alpha$ line wings, identified as a surge, and the co-spatial evolution of an EUV brightening, with spatial and temporal scales analogous to a... 27/04/2011�� The purpose of the present study was to evaluate effects of regular practice of sun salutation on muscle strength... | CommonCrawl |
Characterization and Modeling of Advanced Modified Surfaces.
A promising approach to surface modification involves diamondlike carbon (DLC) coatings with "functionally-graded surfaces" (FGS) as substrates. Titanium nitride substrates have a great potential as a FGS for the DLC coating, since titanium and titanium alloy... | CommonCrawl |
Abstract: Many practical machine learning tasks employ very deep convolutional neural networks. Such large depths pose formidable computational challenges in training and operating the network. It is therefore important to understand how fast the energy contained in the propagated signals (a.k.a. feature maps) decays a... | CommonCrawl |
Is this the best hyperbolic fit to this data?
This was a bit less than I was anticipating so I would like to know if there is a better way to fit a hyperbolic curve to my data. I think my R^2 calculation is ok since it works well with real excel trendlines.
That is not how I would do it but it gives a pretty good resul... | CommonCrawl |
arxiv.org. math. Cornell University, 2013. No. 1301.0342.
Bufetov A. I., Mkrtchyan S., Scherbina M., Soshnikov A.
Panov V. math. arxive. Cornell University, 2017. No. 1703.10463.
Kazakov M., Kalyagin V. A. In bk.: Models, Algorithms and Technologies for Network Analysis, Springer Proceedings in Mathematics & Statistics... | CommonCrawl |
QRHFIRR The symmetries of the orbitals which are involved in the QRHF orbital occupation alteration. A minus sign indicates that a $\beta$ orbital of the associated symmetry will be depopulated, while a positive sign indicates that an $\alpha$ orbital will be populated.
Data type: floating point. Dimension: QRHFTOT. Wr... | CommonCrawl |
How does fmincon in MATLAB calculate gradients?
I am trying to solve numerically a constrained optimisation problem in MATLAB, and I am wondering how the fmincon function calculates gradients when one isn't provided. Does anyone here know, or know how I might be able to find out?
Running the optimisation problem takes ... | CommonCrawl |
A formula system can transform a formula natural language representation ("NLR") into a representation which shows the formula in traditional mathematical notation. This transformation can include creating a state machine with transition mappings between states that match to initial parts of the NLR. These transition m... | CommonCrawl |
Petya has a polygon consisting of $$$n$$$ vertices. All sides of the Petya's polygon are parallel to the coordinate axes, and each two adjacent sides of the Petya's polygon are perpendicular. It is guaranteed that the polygon is simple, that is, it doesn't have self-intersections and self-touches. All internal area of ... | CommonCrawl |
Both convolutional and recurrent operations are building blocks that process one local neighborhood at a time.
Despite the size of the dataset, some of our models train to convergence in less than a day on a single machine using TensorFlow.
Furthermore, based on the temporal segment networks, we won the video classific... | CommonCrawl |
1 . There exist finitely many conjugacy classes of maximal compact subgroups of $G$. If $k = \mathbf R$, then all maximal compact subgroups are conjugate.
2 . If $k$ is nonarchimedean, then maximal compact subgroups are always open.
Let $K$ be a compact subgroup of $G$, and $P$ a parabolic subgroup of $G$. Suppose that... | CommonCrawl |
Abstract: We study the behavior of zeros and mass of holomorphic Hecke cusp forms on $SL_2(\mathbb Z) \backslash \mathbb H$ at small scales. In particular, we examine the distribution of the zeros within hyperbolic balls whose radii shrink sufficiently slowly as $k \rightarrow \infty$. We show that the zeros equidistri... | CommonCrawl |
Vector spaces of all homogeneous continuous polynomials on infinite dimensional Banach spaces are infinite dimensional. But spaces of homogeneous continuous polynomials with some additional natural properties can be finite dimensional. The so-called symmetry of polynomials on some classes of Banach spaces is one of suc... | CommonCrawl |
In developing a model of bacteria growth, we detailed every step of building the model from the data. Since we assumed the change in the population size in one time step was a linear function of the population size, the model was so simple that we could even solve it. We ended up with a fairly simple expression showing... | CommonCrawl |
Collaborate on your data. Generate more results.
Rinocloud makes it easy to organise and discuss all your research data.
For scientists that work with data.
Adding extra context to your data, like parameters, metadata, discussion, means that you can deduce more insights and generate more results.
We integrate with vari... | CommonCrawl |
Abstract: Mayall II = G1 is one of the most luminous globular clusters (GCs) in M31. Here, we determine its age and mass by comparing multicolor photometry with theoretical stellar population synthesis models. Based on far- and near-ultraviolet GALEX photometry, broad-band UBVRI, and infrared JHK_s 2MASS data, we const... | CommonCrawl |
Hi, I am in a linear algebra class, and I don't understand how to work through this problem.
"Consider the linear system below, where a and b represent numbers"
(a) Find the particular values for a and b which make the system consistent.
(b) Find the particular values for a and b which make the system inconsistent.
(c)... | CommonCrawl |
How to make users follow a better etiquette?
We've all seen it. A question of a new user, copied from a problem book, 5 people answering it with one-liners within 10 minutes, the user saying maybe a "thankx" and either picking a best answer completely at random or never being seen again.
I'm surprised to see even users... | CommonCrawl |
Written by Colin+ in basic maths skills, pirate maths.
"Arr!" said the Mathematical Pirate.
"Pieces of eight!" said the Mathematical Pirate's parrot.
"How many pieces of eight?"
"That'll be... seventy and ten minus twenty and four, making fifty and six!"
"Who's a clever boy?" asked the parrot. "Awk!"
The Mathematical P... | CommonCrawl |
Abstract: We develop a systematic and efficient method of counting single-trace and multi-trace BPS operators with two supercharges, for world-volume gauge theories of $N$ D-brane probes for both $N \to \infty$ and finite $N$. The techniques are applicable to generic singularities, orbifold, toric, non-toric, complete ... | CommonCrawl |
In a wave, energy is proportional to amplitude squared.
This is something I would like to understand better in the case of mechanical (linear) waves.
where $z=z(x, y, t)$ is the vertical displacement. Am I right?
The total energy is then just the sum of the kinetic and potential energies with appropriate modification u... | CommonCrawl |
Quantum simulations offer the possibility of answering quantum spin system dynamics questions which may otherwise require unrealistic classical resources to solve. Such simulations may be implemented using well-controlled systems of effective spins, including, as we demonstrate, two-dimensional lattices of locally inte... | CommonCrawl |
I would like to know how I can calculate the yield of a bond futures contract(say the 5 yr treasury "FVM05" is trading at 108.2)? I am not sure how to go about calculating the yield of the futures contract?
Need some guidance in doing so.
There's a lot of intracacies involved and you've got several options. Let's go th... | CommonCrawl |
The 4, 5 and 6 will be involved in the largest possible products, so we can begin by seeing whether they touch.
The 4 and the 5 do not touch, as shown in the diagram below, which shows part of the folded net.
The 6 touches the 4 and the 5, as shown.
This means that the greatest product must include the 6 and the 5 or t... | CommonCrawl |
Sreenivasulu, M and Rao, Krishna GS (1989) Vilsmeier reaction studies on some $\alpha$ .$\beta$ -unsaturated alkenones. In: Indian Journal of Chemistry, Section B: Organic Chemistry Including Medicinal Chemistry, 28B (6). pp. 494-495.
$\alpha$ ,$\beta$-Unsatd. alkenones were converted into chlorobenzenemono-, di- and t... | CommonCrawl |
In this note, we prove that all $2 \times 2$ monotone grid classes are finitely based, i.e., defined by a finite collection of minimal forbidden permutations. This follows from a slightly more general result about certain $2 \times 2$ (generalized) grid classes having two monotone cells in the same row.
This page has b... | CommonCrawl |
Can anyone explain how the process of emission differs in these two cases?
To my understanding, it is simply single atom versus many number of atoms. For example, suppose one atom with an electron at energy level 7 ($n_2=7$). That electron can "de-excite" from $n_2=7$ to $n_1=6, 5, 4, 3, 2,$ or $1$. All those transitio... | CommonCrawl |
The study aimed to evaluate the best level of licury oil in the diet of 3/4 Boer goats, as determined by profile analysis of commercial cuts on aspects of chemical composition, sensorial quality and fatty acid content. Nineteen male goats were used, with an initial weight of 10.8 kg/live weigh. The animals were fed wit... | CommonCrawl |
The third axiom is about events that are mutually exclusive. Two events $A$ and $B$ are mutually exclusive if at most one of them can happen; in other words, they can't both happen.
For example, suppose you are selecting one student at random from a class in which 40% of the students are freshmen and 20% are sophomores... | CommonCrawl |
In this section we present an algorithm implemented using LazySets that computes the reach sets of a hybrid system of linear ordinary differential equations (ODE). This algorithm is an extension of the one presented in A Reachability Algorithm Using Zonotopes.
We consider a simple case here where modes do not have inva... | CommonCrawl |
Normality of orbit closures in the enhanced nilpotent cone - Mathematics > Representation Theory - Download this document for free, or read online. Document in PDF available to download.
Abstract: We continue the study of the closures of $GLV$-orbits in the enhancednilpotent cone $V\times\cN$ begun by the first two aut... | CommonCrawl |
A plane electromagnetic wave of frequency $25\: MHz$ travels in free space along the $x$ - direction. At a particular point in space and time, $E= 6.3 \: jV/m$. What is B at this point?
To find the direction, we note that $E$ is along $y$ - direction and the wave propagates along $x$ - axis.
Therefore, $B$ should be in... | CommonCrawl |
Amouch, M. ; Zguitti, H.
Let $X$ be a Banach space and $T$ be a bounded linear operator on $X$. We denote by $S(T)$ the set of all complex $\lambda \in \mathbb C$ such that $T$ does not have the single-valued extension property at $\lambda $. In this note we prove equality up to $S(T)$ between the left Drazin spectrum,... | CommonCrawl |
The state of our knowledge about general arithmetic circuits seems to be similar to the state of our knowledge about Boolean circuits, i.e. we don't have good lower-bounds. On the other hand we have exponential size lower-bounds for monotone Boolean circuits.
What do we know about monotone arithmetic circuits? Do we ha... | CommonCrawl |
Non-Boolean computing based on emerging post-CMOS technologies can potentially pave the way for low-power neural computing platforms. However, existing work on such emerging neuromorphic architectures have either focused on solely mimicking the neuron, or the synapse functionality. While memristive devices have been pr... | CommonCrawl |
How do you show that $l_p \subset l_q$ for $p \leq q$?
Can you provide me historical examples of pure mathematics becoming "useful"?
What makes elementary functions elementary?
Is there possibly a largest prime number?
What is the role of conjectures in modern mathematics?
Comparing Hilbert spaces and Banach spaces.
Wh... | CommonCrawl |
Volume 7, Number 2 (2002), 217-236.
In this paper we study a class of nonlinear integro-differential equations which correspond to a fractional-order time derivative and interpolate nonlinear heat and wave equations. For this purpose we first establish some space--time estimates of the linear flow which is produced by ... | CommonCrawl |
for events the day of Monday, September 11, 2017.
Abstract: Given a monotone Lagrangian L in a monotone symplectic manifold, there is a function known as the disc potential that encodes counts of maslov index 2 discs with boundary on L. The behavior of this potential under certain geometric transformations of the Lagra... | CommonCrawl |
Would this method approximate a uniformly distributed random points on sphere?
I know there are several ways to generate uniformly distributed random points on the 2-sphere $S^2$. But I would like to know if my method does the same job, although it is very inefficient.
Take a random point $(x,y,z) \in [-3,3] \times [-3... | CommonCrawl |
This is all really neat!
Now this – this is really cool! Our client is free, and our server is type-checked.
The repetition is gone! Very cool.
The two API types we provide above end up describing the exact same API structure. However, the structure of the type is different, and the operation does not in fact distribut... | CommonCrawl |
I got confused on the operator of the wedge product on other 2 vectors. Please help.
Let $V=\mathbb R^3,e_1= (1,0,0),e_2= (0,1,0)$, and $e_3= (0,0,1)$. Find: $3e_1∧4e_3((1,α,0),(0,β,1))$, where α,β are irrational numbers.
Not the answer you're looking for? Browse other questions tagged multilinear-algebra exterior-alge... | CommonCrawl |
The composition (or superposition) of two functions $f:Y \rightarrow X$ and $g:Z \rightarrow Y$ is the function $h=f\circ g : Z \rightarrow X$, $h(z)=f(g(z))$.
The composition of two binary relations $R$, $S$ on set $A \times B$ and $B \times C$ is the relation $T = R \circ S$ on $A \times C$ defined by $a T c \Leftrig... | CommonCrawl |
[SOLVED] generalisations of the Seifert-van Kampen Theorem?
[SOLVED] If I want to study Jacob Lurie's books "Higher Topoi Theory", "Derived AG", what prerequisites should I have?
[SOLVED] DG categories in algebraic geometry - guide to the literature?
[SOLVED] What is a symmetric monoidal $(\infty,n)$-category?
[SOLVED]... | CommonCrawl |
Abstract: Professors from SOCS will give a 5-minute summary of the research going on in their lab. This is a great opportunity for new students to learn about the department and gather information necessary to eventually decide which research area and supervisor to choose.
Abstract: We will describe some recent work on... | CommonCrawl |
Locally decodable codes (LDCs) are error correcting codes that allow for decoding of a single message bit using a small number of queries to a corrupted encoding. Despite decades of study, the optimal trade-off between query complexity and codeword length is far from understood. In this work, we give a new characteriza... | CommonCrawl |
Say we have a stock price time series $S_k$. We can do monte carlo simulations on the stock price to make predictions about future prices (e.g. through Geometric Brownian Motion SDE's).
for some time indices $i<j$.
The transformed quantity $p$ is the percentage change of the stock price for some time period $i < t < j$... | CommonCrawl |
Abstract : [en] Several variants of high-level replacement (HLR) and adhesive categories have been introduced in the literature as categorical frameworks for graph transformation and HLR systems based on the double pushout (DPO) approach. In addition to HLR, adhesive, and adhesive HLR categories several weak variants, ... | CommonCrawl |
goes to infinity as .
if is sufficiently slowly growing. Inserting these bounds into (8), the claim follows.
uniformly for , where are the primes between and .
The claim follows (noting from the prime number theorem that ).
This sum evaluates to , and the claim follows since goes to infinity.
Note that the trivial boun... | CommonCrawl |
Classical linear regression estimates the mean response of the dependent variable dependent on the independent variables. There are many cases, such as skewed data, multimodal data, or data with outliers, when the behavior at the conditional mean fails to fully capture the patterns in the data.
Can be used to study the... | CommonCrawl |
Hi so im really struggling right now with the lambda calculus. It doesnt make sense to me.
Does this mean i have a function which takes an x and outputs g and i should apply it to x?
No, $(\lambda x\to x)$ is a function that takes a number (or, indeed, anything whether or not it is a number) to itself. When you say $(\... | CommonCrawl |
On a 15x15 chessboard there are 15 rooks that do not attack each other (via ordinary rook moves). Then each of the rooks makes one move like that of a knight.
Is it possible that after all this is done, the 15 rooks still do not attack each other (via ordinary rook moves)?
Since there is (initially and finally) a rook ... | CommonCrawl |
Abstract: We compute the expected value of powers of the geometric condition number of random tensor rank decompositions. It is shown in particular that the expected value of the condition number of $n_1\times n_2 \times 2$ tensors with a random rank-$r$ decomposition, given by factor matrices with independent and iden... | CommonCrawl |
Abstract: We consider the problem of selecting non-zero entries of a matrix $A$ in order to produce a sparse sketch of it, $B$, that minimizes $\|A-B\|_2$. For large $m \times n$ matrices, such that $n \gg m$ (for example, representing $n$ observations over $m$ attributes) we give sampling distributions that exhibit fo... | CommonCrawl |
Mole fraction is the amount of moles of particular component in the mixture to the total number of moles of all the components in the mixture. The symbol for mole fraction is X with the component being studied written as subscript.
Sum of mole fractions are always unity.
Mole fraction has no units.
Example problems are... | CommonCrawl |
Is there an algorithm which can calculate a $9 \times 9$ Sudoku with non-trivial $n$ possible solutions?
So if you play it you can play it for example 4 times? So if you play it there's a choice in which way you solve the Sudoku.
So, for example, we have a row in which it's possible to place two numbers in 2 ways for g... | CommonCrawl |
An autopilot is the software that provides assistance while controlling a drone. While many autopilots allow the drone to fly/move autonomously following some pre-specified geographical points (e.g. using GPS), the autonomous movement is a characeristic of the autopilot but not the autopilot itself.
An autopilot is a s... | CommonCrawl |
A sudoku puzzle is a partially filled $9\times 9$ grid with numbers $1,\ldots,9$ such that each column, each row, and each of the nine 3×3 sub-grids that compose the grid does not contain two of the same number.
What is the minimal number of entries needed to produce an inconsistent puzzle, i.e., a puzzle that can not ... | CommonCrawl |
The sampling rate of a real signal needs to be greater than twice the signal bandwidth. Audio practically starts at 0 Hz, so the highest frequency present in audio recorded at 44.1 kHz is 22.05 kHz (22.05 kHz bandwidth).
Perfect brickwall filters are mathematically impossible, so we can't just perfectly cut off frequen... | CommonCrawl |
Fermion propagator is not a Grassmann-odd object?
What is the number of fermions in Kitaev honeycomb model?
What is the fundamental reason of the fermion doubling?
Recall that the fermion doubling is the problem in taking the $a \to 0$ limit of a naively discretized fermionic theory (defined on a lattice with lattice s... | CommonCrawl |
Аннотация: Many Ramond–Ramond backgrounds that arise in the AdS/CFT correspondence are described by integrable sigma-models. The equations of motion for classical spinning strings in these backgrounds can be solved quite generally by the finite-gap integration method via classical Bethe equations and algebraic curves. ... | CommonCrawl |
There is an insidious virus (less contagious than C. Coli, but still dangerous) which plagues the squares of checkerboards. This virus spreads through social interaction: whenever the majority of a friend group becomes sick, the entire group becomes sick.
Specifically, any four squares which meet at a common vertex are... | CommonCrawl |
You are given a rooted tree with $n$ nodes. The nodes are numbered $1..n$. The root is node $1$, and $m$ of the nodes are colored red, the rest are black.
You would like to choose a subset of nodes such that there is no node in your subset which is an ancestor of any other node in your subset. For example, if A is the ... | CommonCrawl |
I am trying to solve the following problem: $|4-x| \leq |x|-2$. I am trying to do it algebraically, but I'm getting a solution to the problem that makes no sense. I fail to see the error in my reasoning though. I hope to get an explanation where I went wrong.
If $4-x$ and $x$ are both negative, then for them to be equa... | CommonCrawl |
If $X\times Y$ is homotopy equivalent to a finite-dimensional CW Complex, are $X$ and $Y$ as well?
Is there a space $X$ that is not homotopy equivalent to a finite-dimensional CW complex for which there exists a space $Y$ such that the product space $X\times Y$ is homotopy equivalent to a finite-dimensional CW complex?... | CommonCrawl |
I was spending the weekend at Woodful Towers when a wealthy old Sir Joshua Woodful was horribly murdered in the library.
Transformations is a collective name for several different methods in Geometry.
Suppose we enter a number, $abc$, say, in a calculator and then repeat it to get $abcabc$. Now divide by $13,11$ and $7... | CommonCrawl |
Dimitrova, I., Vítor H. Fernandes, and J. Koppitz. "A note on generators of the endomorphism semigroup of an infinite countable chain." Journal of Algebra and its Applications (DOI: 10.1142/S0219498817500311). 16 (2017): 1750031 (9 pages).
In this note, we consider the semigroup $O(X)$ of all order endomorphisms of an ... | CommonCrawl |
Lurie, Jacob. On the classification of topological field theories. Current developments in mathematics, 2008, 129--280, Int. Press, Somerville, MA, 2009. 58Jxx (57Rxx) MR2555928. arXiv:0905.0465.
Or, rather, Lurie first provides reasonable definitions for a number of things, end then proves that there is an equivalence... | CommonCrawl |
July 2016, 397 pages, hardcover, 17 x 24 cm.
It has been known for some time that geometries over finite fields, their automorphism groups and certain counting formulae involving these geometries have interesting guises when one lets the size of the field go to 1. On the other hand, the nonexistent field with one eleme... | CommonCrawl |
Journal: Proc. Amer. Math. Soc.
In this paper we consider the evolution of sets by a fractional mean curvature flow. Our main result states that for any dimension $n \geq 2$, there exists an embedded surface in \mathbb Rn evolving by fractional mean curvature flow, which developes a singularity before it can shrink to ... | CommonCrawl |
plus a long and unwieldy term $S_2$ due to the so called local kappa symmetry which has to be preserved. This $S_2$ term is not further explained or derived.
So can somebody at least roughly explain to me what this kappa symmetry is about and what its purpose is from a physics point of view?
On general super-target spa... | CommonCrawl |
This plugin shows an ad to all players inside your server, motivating them to buy TrackMania United. When a player clicks the ad, it will open, in the player's web browser, the official Nadeo page to buy and download TrackMania United.
You can change the position and the size of the ad if you don't like the defaults. T... | CommonCrawl |
My question is about the description of general defects (specially loop defects) in the Walker-Wang (WW) model.
Elementary excitations in the WW model can be point particles, loop defects and more general defects (see page 12 of arXiv:1104.2632). It is stated their description is closely related to the boundary conditi... | CommonCrawl |
Recent studies have shown promising performance benefits of pipelined stencil applications. An important factor for the computing efficiency of such pipelines is the granularity of a task. We presents GOPipe, the first granularity-oblivious programming framework for efficient pipelined stencil executions. With GOPipe, ... | CommonCrawl |
What's a nice argument that shows the volume of the unit ball in $\mathbb R^n$ approaches 0?
A better way to reference theorem-like environments?
Heuristic explanation of why we lose projectives in sheaves.
What are the differences between rings, groups, and fields?
What's the best way to get constructive critique of y... | CommonCrawl |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.