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We consider the theory of very weak solutions of the stationary Stokes system with nonhomogeneous boundary data and divergence in domains of half space type, such as $\mathbb R^n_+$, bent half spaces whose boundary can be written as the graph of a Lipschitz function, perturbed half spaces as local but possibly large pe... | CommonCrawl |
Its my model a Mixed model?
The joint distribution of Y=AX and Z=BX given a projection matrix A and residual maker matrix B, and a random vector X with known pdf?
What does the pmf of a discrete random variable look like if it can take on the value $\infty$?
How to derive the joint distribution of Y=AX and Z=BX given a... | CommonCrawl |
Baydar N., Fošner A., Strašek R.
Let $n$ be a fixed positive integer, let $R$ be a $(2n)!$ -torsion-free semiprime ring, let $\alpha$ be an automorphism or an anti-automorphism of $R$, and let $D_1 , D_2 : R → R$ be derivations. We prove the following result: If $(D_1^2 (x) + D_2(x))^n ∘ α(x)^n = 0 $ holds for all $x Є... | CommonCrawl |
$\# A(x) \gg x / \log x$ and $\# A(x) =o(x)$ as $x\to \infty$. As a consequence, we obtain that the set of all integers $n$ such that $n$ divides $F_n$ has zero asymptotic density relative to $A$.
Remark: Paolo Leonetti is a new PostDoc researcher at the Institute of Analysis and Number Theory since February 2019. | CommonCrawl |
Doctoral Committee Chair(s): Kapoor, Shiv G.
Abstract: In today's competitive marketplace, companies must continually strive for improved quality and productivity of its products and processes just to maintain its competitive position. For this reason, quality systems were developed to improve quality through the desig... | CommonCrawl |
If you need any more rolls to determine the answer, comment them.
Please try not to look it up, and if you do, don't answer it, it'll ruin the fun for others. Only answer if YOU figured it out.
Also note that the name is especially important.
Guess who took A LONG TIME to figure this out?
The name "Petals Around the Ro... | CommonCrawl |
Every three-connected planar graph with $n$ vertices has a drawing on an $O(n^2) \times O(n^2)$ grid in which all faces are strictly convex polygons. These drawings are obtained by perturbing (not strictly) convex drawings on $O(n) \times O(n)$ grids. Tighter bounds are obtained when the faces have fewer sides. In the ... | CommonCrawl |
At each step, choose two adjacent elements and swap them.
At each step, choose any two elements and swap them.
At each step, choose any element and move it to another position.
At each step, choose any element and move it to the front of the array.
Given a permutation of numbers $1,2,\ldots,n$, calculate the minimum nu... | CommonCrawl |
I heard of this fun little combinatorics problem from David Dralle, who (I think) heard about it from Sean Rule.
Imagine a group of $n$ people is sitting in a circle. Let's label the participants from 1 to $n$ counterclockwise. A person on the outside of the circle begins by eliminating person 1. She then skips one rem... | CommonCrawl |
The processing of dietary lipids can be distinguished in several sequential steps, including their emulsification, hydrolysis and micellization, before they are absorbed by the enterocytes. Emulsification of lipids starts in the stomach and is mediated by physical forces and favoured by the partial lipolysis of the die... | CommonCrawl |
Farmer John is attempting to take a photograph of his herd of cows. From past experience, he knows this particular endeavor never usually ends well.
Here, an 'R' means a cow facing right, and an 'L' means a cow facing left. Since the cows are packed together, Farmer John cannot walk up to an individual cow to make it t... | CommonCrawl |
Abstract: In this talk, we will investigate a system of the 2D magnetohydrodynamic (MHD) equations with the kinematic dissipation given by the fractional operator $(-\Delta)^\alpha$ and the magnetic diffusion by partial Laplacian. We will show that this system with any $\alpha>0$ always possesses a unique global smooth... | CommonCrawl |
Abstract: QCD evolution equations can be recast in terms of parton branching processes. We present a new numerical solution of the equations. We show that this parton-branching solution can be applied to analyze infrared contributions to evolution, order-by-order in the strong coupling $\alpha_s$, as a function of the ... | CommonCrawl |
Abstract: The Carroll group was originally introduced by Levy-Leblond by considering the limit of the Poincaré group as $c\to0$. In this paper an alternative definition, based on the geometric properties of a non-Minkowskian, non-Galilean but nevertheless boost-invariant, space-time structure is proposed. A "duality" ... | CommonCrawl |
The notion of $\alpha$-topological vector space is introduced and several properties are studied. A complete comparison between this class and the class of topological vector spaces is presented. In particular, $\alpha$-topological vector spaces are shown to be independent from topological vector spaces. Finally, a suf... | CommonCrawl |
What is nearest neighbors search?
In the world of deep learning, we often use neural networks to learn representations of objects as vectors. We can then use these vector representations for a myriad of useful tasks.
All of these vectors were extracted from a ResNet50 model. Notice how the values in the query vector ar... | CommonCrawl |
I have a not-secret love affair with blogging the curve complex: I (intro), II (dead ends), III (connected). I'm surprised I didn't blog the surprising and cute and wonderful proof that the curve complex is hyperbolic, which came out two years ago. Maybe I'll do that next math post (but I have a large backlog of math I... | CommonCrawl |
A semi-group in which each monogenic sub-semi-group (cf. Monogenic semi-group) is finite (in other words, each element has finite order). Every periodic semi-group has idempotents. The set $K_e$ of all elements in a periodic semi-group some power (depending on the element) of which is equal to a given idempotent $e$ is... | CommonCrawl |
The use of futures provides a flexible way to express parallelism and can generate arbitrary dependences among parallel subcomputations. The additional flexibility that futures provide comes with a cost, however. When scheduled using classic work stealing, a program with futures, compared to a program that uses only fo... | CommonCrawl |
While maximum likelihood exploratory factor analysis (EFA) provides a statistical test that $k$ dimensions are sufficient to account for the observed correlations among a set of variables, determining the required number of factors in least-squares based EFA has essentially relied on heuristic procedures. Two methods, ... | CommonCrawl |
@ Xiao-Gang Wen Thank you very much.
we see the RVB state does not refer to one state, it can refer to many different states (with different topological orders). The RVB states with different topological orders can have different properties. There is a RVB state (with a $Z_2$ topological order) where the spinons are fe... | CommonCrawl |
Sorry if this topic has already been treated. It's my first time here. Five days that I am searching for a solution but can't find it.
My problem : I am trying to create a Facebook application that takes your profile picture and inserts it into a PNG picture.
Everything is working fine with some profile pictures and wi... | CommonCrawl |
Bolsinov A. V., Borisov A. V., Mamaev I. S.
In the paper we consider a system of a ball that rolls without slipping on a plane. The ball is assumed to be inhomogeneous and its center of mass does not necessarily coincide with its geometric center. We have proved that the governing equations can be recast into a system ... | CommonCrawl |
I am reading Rational Canonical form from The Abstract Algebra book by Dummit and Foote. I have some doubt in Smith normal form. Smiths normal for says for any $n\times n$ square matrix $A$ over an arbitrary field $F,$ $xI-A$ is equivalent to diagonal matrix in $F[x]$ whose diagonal elements are either $1$ or the invar... | CommonCrawl |
Two parties wish to carry out certain distributed computational tasks, and they are given access to a source of correlated random bits.
It allows the parties to act in a correlated manner, which can be quite useful.
But what happens if the shared randomness is not perfect?
We study shared randomness in the context of m... | CommonCrawl |
A question that's been on my mind for a while is whether any precise statement to the effect of "Heegaard Floer homology is a TQFT," for some reasonable definition of TQFT, can be made.
Of course, a lot of effort is being spent right now on HF as an extended TQFT (e.g. the bordered theory of Lipshitz/Ozsvath/Thurston a... | CommonCrawl |
When downsampling an image by an integer factor $n$, the obvious method is to set the pixels of the output image to the average of the corresponding $n \times n$ blocks in the input image.
Is it true that there is a better method (and if so, where does the above method fail, although it seems "obviously" correct)? I do... | CommonCrawl |
Constructing Voronoi diagrams in L(1) and L(infinity) metrics with two plane sweeps.
A plane-sweep method without using transformation but using two sweeps is used to construct the Voronoi diagram in $L\sb1\ (L\sb\infty,$ respectively) metric of a set of n point sites in O(nlogn) time and O(n) space. The two sweeps adv... | CommonCrawl |
K-Means Clustering is a machine learning technique for classifying data. It's best explained with a simple example. Below is some (fictitious) data comparing elephants and penguins. We've plotted 20 animals, and each one is represented by a (weight, height) coordinate.
You can see that the coordinate points of the elep... | CommonCrawl |
We consider the problem of placing $k$ queens on an $n \times n$ chessboard so that the number of unattacked squared is as large as possible. We focus on the domain where $k$ is small relative to $n$. We are able to solve this problem by relating it to various related problems in additive combinatorics. | CommonCrawl |
When looking at the discrete model of a Sigma-Delta Modulator as shown below, we can see that the quantizer is modelled as a white-noise source $e[n]$. From this model, we can derive the noise shaping property of the modulator.
In a typical Sigma-Delta Modulator, the quantizer is realized by a 1-bit ADC, i.e. a compara... | CommonCrawl |
UMZh Author: Nikmehr M. J.
For a monoid M, we introduce strongly M-semicommutative rings obtained as a generalization of strongly semicommutative rings and investigate their properties. We show that if G is a finitely generated Abelian group, then G is torsion free if and only if there exists a ring R with |R| ≥ 2 such... | CommonCrawl |
How does Higgs field relate to Aether theories?
Does $SO(32) \sim_T E_8 \times E_8$ relate to some group theoretical fact?
How much radiation does the moon emit?
How does the instability of a radioactive atom relate to quantum mechanics?
In a popular sense, it is like emitting photons by an excited atom while its trans... | CommonCrawl |
Here's a variation of Discrete Peaceful Encampments: 9 queens on a chessboard (which itself is a variation of Peaceful Encampments).
Can you find a way to place more than 4 queens of each color "peacefully" on an 8x8 chessboard?
There's no way to get more than 4 of every colour. Also, there is no simple way to prove th... | CommonCrawl |
Kokoro Connect's premise made a lot of people raise their eyebrows, because really, what good can come from body-switching shenanigans? Well, let's think about this for a second. We have a group of five kids and every once in a while, at random, they switch into the others' bodies at random. What does that sound like? ... | CommonCrawl |
UV resonance Raman spectroscopy is a well established technique for probing peptide and protein secondary structure. Excitation between 180 to 215 nm, within the $\pi $ to $\pi $* electronic transitions of the peptide backbone, results in the enhancement of amide vibrations. We use UVRR excitation profiles and depolari... | CommonCrawl |
The KArlsruhe TRItium Neutrino (KATRIN) experiment aims at the model-independent measurement of the electron neutrino mass. KATRIN is designed for a neutrino mass sensitivity of 0.2 eV (90\% CL) after three years of measurement time. In May 2018, KATRIN performed its First Tritium measurements. Along with the beta elec... | CommonCrawl |
I apologize if this question doesn't make any sense. I'll just go ahead and delete it if that's the case. But the question is just the title. Is there a notion of forcing in homotopy type theory? Presumably we do homotopy type theory in some $(\infty,1)$-topos, so we can axiomatize the notions accordingly? Does anyone ... | CommonCrawl |
Fitting models to large datasets and/or models involving a large number of random effects (for the rma.mv() function) can be time consuming. Admittedly, some routines in the metafor package are not optimized for speed and efficient memory usage by default. However, there are various ways for speeding up the model fitti... | CommonCrawl |
This function returns a pointer to an accelerator object, which is a kind of iterator for interpolation lookups. It tracks the state of lookups, thus allowing for application of various acceleration strategies.
This function performs a lookup action on the data array $x_array of size $size, using the given accelerator ... | CommonCrawl |
Chebfun is very good at solving eigenvalue problems in one dimension defined by smooth or piecewise-smooth coefficients. An important example of such problems is the determination of eigenstates of the Schroedinger operator, which correspond to energy levels of quantum systems. There is a special Chebfun command, quant... | CommonCrawl |
A discrete signal or discrete-time signal is a time series consisting of a sequence of quantities.
Are there alternatives to the bilinear transform?
Is wavelet analysis useful for 1D signals?
What is the difference between linear and non-linear filters?
Why convolution is required, or what is the philosophy behind conv... | CommonCrawl |
It is well-known that the commutator of Riesz transform (Hilbert transform in dimension 1) and a symbol $b$ is bounded on $L^2(\mathbb R^n)$ if and only if $b$ is in the BMO space BMO$(\mathbb R^n)$ (Coifman--Rochberg--Weiss).
Inspired by this result, it is natural to ask whether it holds for commutator of Riesz transf... | CommonCrawl |
Abstract: We construct new families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of form $Z\times A^1$, where $Z$ is a quasiprojective variety. The affine cones over such a fourfold admit effective $G_a$-actions. Similar constructions of cylindrical Fano threefolds an... | CommonCrawl |
Rafael López, Zeljka Milin Sipus, Ljiljana Primorac Gajcic, Ivana Protrka, Harmonic evolute of B-scrolls with constant mean curvature in Lorentz-Minkowski space. International Journal of Geometric Methods in Modern Physics, to appear.
Thomas Hasanis, Rafael López, Translation surfaces in Euclidean space with constant ... | CommonCrawl |
The instructional materials reviewed for Common Core Coach Suite Grade 5 do not meet the expectations for alignment to the CCSSM. In Gateway 1, the instructional materials partially meet the expectations for focus and coherence. The instructional materials meet the expectations for focus, but they do not meet the expec... | CommonCrawl |
Banach spaces of continuous functions; tensor products; operator ideals; 𝑝-summing operators.
Let 𝛺 be a compact Hausdorff space, 𝑋 a Banach space, $C(\Omega,X)$ the Banach space of continuous 𝑋-valued functions on 𝛺 under the uniform norm, $U:C(\Omega,X)\to Y$ a bounded linear operator and $U^\#,U_\#$ two natural... | CommonCrawl |
expected ⋆ 100% Private Proxies - Fast, Anonymous, Quality, Unlimited USA Private Proxy!
So I have Messages in iCloud enabled on my iMac – High Sierra, 10.13.6. My iPhone – version 12.2 and iPad – version 12.1.4. The issue id like to solve is this – on the iPhone an iPad when I delete a message, I get the warning / con... | CommonCrawl |
Abstract : [en] We show that the colour-singlet contributions to the hadroproduction of $J/\Psi$ in association with a W boson are sizable, if not dominant over the colour-octet contributions. They are of two kinds, $sg\toJ/\Psi+c+W$ at $\alpha^3s\alpja$ and $q\overline q' \to\gamma^\star /Z ^\star W\to J/\Psi W$ at or... | CommonCrawl |
In this post I'll demonstrate one way to use Bayesian methods to build a 'dynamic' or 'learning' regression model. When I say 'learning,' I mean that it can elegantly adapt to new observations without requiring a refit.
Today we lay our scene in London between the years 1760-1850. The good people of London have bread a... | CommonCrawl |
$f_1, \ldots , f_ r$ is an $M$-quasi-regular sequence.
In particular the sequence $f_1, \ldots , f_ r$ is a regular sequence in $R$ if and only if it is a Koszul regular sequence, if and only if it is a $H_1$-regular sequence, if and only if it is a quasi-regular sequence.
In order to prevent bots from posting comments... | CommonCrawl |
Ruben and Albert are what you can call abnormally smart. They are also both very fond of mathematically inspired games. Their only problem is that most games are too easy for them, and they end up beating everyone who dares challenge them. Because of that, they're now mostly playing against each other. To make things i... | CommonCrawl |
I am reading Guillemin and Pollack's Differential Topology. For the proof on Page 164, I was not able to get through the last step.
According to Daniel Robert-Nicoud's ansewr to $f: X \to Y$ is a smooth map and $\omega$ is a $p$-form on $Y$, what is $\omega[f(x)]$?
Following James S. Cook's very brilliant answer Pullba... | CommonCrawl |
The iron mediated (1,5)-homologous Michael reaction as a route to spirocyclic ring systems.
The reaction between $\gamma$-acetoxy-$\alpha,\beta$-unsaturated esters with diiron nonacarbonyl produces the $\eta\sp2$-iron tetracarbonyl complexes. Addition of a Lewis acid, such as boron trifluoride etherate, produces $\eta\... | CommonCrawl |
My textbook says it converges for all values of $z$ but there is a pole at $z=0$, so which one is true?
When we speak about convergenge in all the $Z$ plane, the points $z=0$ and $z=\infty$ are not considered.
Note that by time-shifting the signal, you include/exclude zeros and poles at these 2 special points.
Not the ... | CommonCrawl |
Abstract : Finite topological spaces are in bijective correspondence with preorders on finite sets. We undertake their study using combinatorial tools that have been developed to investigate general discrete structures. A particular emphasis will be put on recent topological and combinatorial Hopf algebra techniques. W... | CommonCrawl |
Problem. Is it consistent with ZFC that $\mathfrak t=\omega_1$ and each $\omega_1$-generated tall $P$-ideal is of the second Baire category?
(Asked 01.10.2016 by David Chodounsky at page 20 of Volume 1 of the Lviv Scottish Book).
Prize: A bottle of Becherovka.
Browse other questions tagged set-theory gn.general-topolog... | CommonCrawl |
Cells sense forces from the extracellular matrix (ECM) and transduce them into biochemical signals. The molecules produced cause in turn remodeling of the ECM. Molecular altered expression will affect this force sensing mechanism changing cellular properties as migration, differentiation, etc. Therefore, cells mechanic... | CommonCrawl |
is "by general category theory" "a fibre product diagram". I tried to show this using the universal property, but didn't obtain anything useful. How do you prove $X\times_TY$ is a fiber product of $X\times_SY$ and $T$ with respect to $T\times_ST$?
I hope this answer is clear -- fundamentally, the solution is to make a ... | CommonCrawl |
For each genus $g$, there are many curves of genus $g$ defined over $\mathbb Q$. How many? We might study this question by considering the rational points of the Deligne-Mumford moduli space of curves $\mathcal M_g$.
What is the dimension of the largest subvariety of $\mathcal M_g$ with Zariski dense rational points?
W... | CommonCrawl |
A reanalysis of collinear factorization for inclusive Deep Inelastic Scattering shows that a novel, non perturbative spin-flip term associated with the invariant mass of the produced hadrons couples, at large enough Bjorken $$x_B$$, to the target's transversity distribution function. The resulting new contribution to t... | CommonCrawl |
Abstract. We study the integrability of intermediate distributions for Anosov diffeomorphisms and provide an example of $C^\infty-$Anosov diffeomorphism on three dimensional torus whose intermediate stable foliation has leaves that admit only a finite number of derivatives. We also show that this phenomenon is quite ab... | CommonCrawl |
\u0160\u00E1rka Ne\u010Dasov\u00E1, Reimund Rautmann, Werner Varnhorn. Preface. Discrete & Continuous Dynamical Systems - S, 2010, 3(2): i-ii. doi: 10.3934\/dcdss.2010.3.2i.
Helmut Abels. Nonstationary Stokes system with variable viscosity in bounded and unbounded domains. Discrete & Continuous Dynamical Systems - S, 2... | CommonCrawl |
Detexify - A webservice for finding LaTeX symbols.
$\leadsto$ \leadsto $\mapsto$ \mapsto . . . .
$\Phi$ \Phi $\varphi$ \varphi . . . .
$\Lambda$ \Lambda $\Delta$ \Delta . . . .
I've recently needed \(\dots, \ddots, \vdots\) (\dots, \ddots, \vdots) for a visualization in a matrix. Note that you can write ... instead of ... | CommonCrawl |
Determinant of a particular matrix.
What is the best way to find determinant of the following matrix?
I thought it looks like a Vandermonde matrix, but not exactly. I can't use $|A+B|=|A|+|B|$ to form a Vandermonde matrix. Please suggest. Thanks.
Determinant of a $3\times 3$ matrix in simplest form. | CommonCrawl |
Defines simple macros for greek letters.
Defines macros using § to type greek letters so that the user may (for example) type §a to get the effect of $\alpha$.
The author is Yvon Henel. The package is Copyright © 2004,2008 Yvon Henel.
Visit a nearby CTAN:/macros/latex/contrib/paresse. If this fails, try Dante.
Copyrigh... | CommonCrawl |
where $R_0$ and $R_a$ are the inner and outer radius of the tube, respectively, $h_1$ and $h_2$ are the inner and outer heat transfer coefficients, and $k$ is the thermal conductivity of the wall.
How does Eq. (1) simplify for the $T$-profile shown on the left?
I had seen a similar $T$-profile in one of our exercises a... | CommonCrawl |
Inspired by Timothy Gowers's example, here is my transfinite epistemic logic problem.
First, let's begin with a simple finite example.
Cheryl Hello Albert and Bernard! I have given you each a different natural number ($0, 1, 2, \ldots$). Who of you has the larger number?
Bernard I don't know either.
Albert Even though ... | CommonCrawl |
Sesana, A., Barausse, E., Dotti, M., & Rossi, E. M. (2014). Linking the spin evolution of massive black holes to galaxy kinematics. Astrophysical Journal, 794: 104. doi:10.1088/0004-637X/794/2/104.
Abstract: We present the results of a semianalytical model that evolves the masses and spins of massive black holes togeth... | CommonCrawl |
Lemma 9.28.2. Let $K$ be a field of characteristic $p > 0$. Let $K \subset L$ be a separable algebraic extension. Let $\alpha \in L$.
If the coefficients of the minimal polynomial of $\alpha $ over $K$ are $p$th powers in $K$ then $\alpha $ is a $p$th power in $L$.
More generally, if $P \in K[T]$ is a polynomial such t... | CommonCrawl |
The OpenKIM Directory of Interatomic Model Developers lists researchers engaged in the development of interatomic potentials and force fields. This is a free resource provided by OpenKIM to help researchers engaged in molecular simulation to connect with model developers in order to find interatomic models and to form ... | CommonCrawl |
Analysis of one-way layout of count data.
Inadequacy of the Poisson assumption, due to the presence of overdispersion, in analysing count data has been reported by several authors (see McCaughran and Arnold (1976), Bliss and Owen (1958) etc.). Negative binomial distribution has been widely used to incorporate overdispe... | CommonCrawl |
Abstract: In 2009 Lurie published an expository article outlining a proof for a higher version of the cobordism hypothesis conjectured by Baez and Dolan in 1995. In this note we give a proof for the 1-dimensional case of this conjecture. The proof follows most of the outline given in Lurie's paper, but differs in a few... | CommonCrawl |
be a commutative diagram with exact rows. If $\beta , \delta $ are isomorphisms, $\epsilon $ is injective, and $\alpha $ is surjective then $\gamma $ is an isomorphism.
In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current ta... | CommonCrawl |
How to find a 2D coordinate field's corners in a 3D Coordinate field if I have 3x 3D points with 3x2D Points?
In order to solve "this" problem, i have to transform my corner-points from a 2D Space to my 3D Space.
The simplest transformation between the two coordinate systems, and the one I suspect you've got in mind, i... | CommonCrawl |
An older term, hardly used nowadays (2000), for an isolated point, or hermit point, of a plane algebraic curve (cf. also Algebraic curve).
For instance, the point $(0,0)$ is an acnode of the curve $X^3+X^2+Y^2=0$ in $\mathbf R^2$.
This page was last modified on 20 July 2016, at 21:24. | CommonCrawl |
Abstract : This paper addresses the problem of observer-based stabilization of discrete-time linear systems in presence of parameter uncertainties and $ell_2$-bounded disturbances. We propose a new variant of the classical two-steps LMI approach. In the first step, we use a slack variable technique to solve the optimiz... | CommonCrawl |
For mathematical questions about Octave; questions purely about the language, syntax, or runtime errors would likely be better received on Stack Overflow. Octave is a high-level interpreted language for numerical computations. Use either the (octave) tag or the (matlab) tag, unless your question involves both packages.... | CommonCrawl |
Two concurrent processes $P1$ and $P2$ want to use resources $R1$ and $R2$ in a mutually exclusive manner. Initially, $R1$ and $R2$ are free. The programs executed by the two processes are given below.
Is mutual exclusion guaranteed for $R1$ and $R2$? If not show a possible interleaving of the statements of $P1$ and $P... | CommonCrawl |
Abstract: We approximate the uniform measure on an equilateral triangle by a measure supported on $n$ points. We find the optimal sets of points ($n$-means) and corresponding approximation (quantization) error for $n\leq4$, give numerical optimization results for $n\leq 21$, and a bound on the quantization error for $n... | CommonCrawl |
Recall from The Lebesgue Measure page that the Lebesgue measure $m$ is a set function defined on the set of all Lebesgue measurable sets $\mathcal M$ that is identically the Lebesgue outer measure set function restricted to $\mathcal M$.
We now prove an important property of $m$ - the excision property.
Theorem 1 (The ... | CommonCrawl |
Takahashi, Ryoji, Víctor A. Gil, and Victor Guallar Journal of Chemical Theory and Computation 2014, 10, 282−288.
This study uses Monte Carlo (MC) sampling, and a Markov state model analysis of the resulting trajectories, to compute absolute binding free energies for four benzamidine ligands binding to trypsin that are... | CommonCrawl |
I want to solve a problem. There is n points upper than x = 0 (not on x = 0). We can put circles with radius r on x axis (Which mean their center lie on x axis). We must use minimum circles to cover all points. a point is covered if lie on a circle or be inside a circle. in input n and n points and r is given.
This is ... | CommonCrawl |
Given a set of times that errors occurred, how can I identify the beginning of a spike in errors (in real time)? We can calculate periodically or on each error occurrence.
I'd like to be able to adjust the sensitivity of the algorithm based on feedback from the sysadmins. For now, they'd like it to be fairly sensitive,... | CommonCrawl |
You are given a map of a building, and your task is to count the number of rooms. The size of the map is $n \times m$ squares, and each square is either floor or wall. You can walk left, right, up, and down through the floor squares.
The first input line has two integers $n$ and $m$: the height and width of the map.
Th... | CommonCrawl |
In the Princeton Companion to Mathematics one reads that even pure mathematicians should know some theoretical physics and applied mathematics. What are some well-organized comprehensive companions to theoretical physics for working mathematicians? I have heard of Armin Wachter and Henning Hoeber's, but I don't know if... | CommonCrawl |
This tag is for questions concerning point processes such as poisson point processes or any other point process.
Are all cluster point processes considered as inhomogeneous?
How to test if an intensity function is a conditional intensity function?
Intensity function $\lambda(u)$ of non-stationary MatérnI hard-core poin... | CommonCrawl |
Why is Marginal Cost = Price better than Marginal Cost > Price for maximizing profit?
Isn't MC>P a better aim? Given the revenue you earn from each unit is more than cost in producing each unit?
Why do some perfectly competitive, loss-making firms shutdown and others don't?
Why is Walras equilibrium inefficient when we... | CommonCrawl |
Semiprimes (pq-numbers) guarantee that if p and q are prime numbers the only divisors of the result of p*q are p and q.
My question is: Does this hold true for p*q*r as well?
For example 3*5*7=105. Are there any three numbers other than 3, 5 and 7 so that x*y*z=105?
Of course if there are non, the follow up question is... | CommonCrawl |
The integers $1,2,3,\ldots,n$ are to be arranged clockwise around a circle, such that adjacent integers always share a common digit (in their decimal representations).
(a) Find the smallest integer $n\ge3$ for which such an arrangement does exist.
(b) Find the largest integer $n\ge3$ for which such an arrangement does ... | CommonCrawl |
Turn a glass of water upside down without letting the water fall out. The secret to this trick involves some basic lessons in air pressure. Best performed over a teacher's head.
Fig. 1: The upside-down water trick.
Fill a glass part way with water. Turn it upside-down. You now have water on the floor. Why did you liste... | CommonCrawl |
Keen to make a skeletal octahedron? Here you can find pictures of the model itself and the module which is used to make it, along with videos of how to make the module and how to put them together to create the skeletal octahedron.... We are going to investigate truncations of a cube and an octahedron. They are related... | CommonCrawl |
Abstract: Based on Wigner unitary representations for the covering group $ISL(2,\mathbb C)$ of the Poincaré group, we obtain spin-tensor wave functions of free massive particles with an arbitrary spin that satisfy the Dirac–Pauli–Fierz equations. In the framework of a two-spinor formalism, we construct spin-polarizatio... | CommonCrawl |
The Siruseri Economic Survey has done a through feasibility study of the different stations and documented the expected profits (or losses) for the eateries in all the railway stations on this route. The authorities would like to ensure that every station is catered to. To prevent caterers from bidding only for profita... | CommonCrawl |
If differential operators are linear operators, what might it mean to act a differential operator to a function to its left?
Given a differential operator like the regular derivative, or grad or curl or div etc, it can act on a function to its right to yield a new function. Because it is linear, it is effectively like ... | CommonCrawl |
Quasar absorption systems (QASs) offer a way to spectroscopically study chemical evolution in galaxies, allowing one to better understand important astrophysical processes like stellar evolution, planet formation, and the development of life. Because their rich H I content can produce a substantial fraction of observab... | CommonCrawl |
Two friends; Blake and Denise go out to eat at the Disaster Zone. But it's no ordinary restaurant...Customers at the Disaster Zone can experience natural disasters while they eat, just like in nature! The two friends have finished eating and are now just waiting for their bill. Oh, their bill's all wet and some of the ... | CommonCrawl |
What is the expectation value of the 3D delta function for the Hydrogen atom ground state?
I can't evaluate the delta function at zero, since it is at the endpoint of the integration limits [not inside the interval $(0,\infty)$]?
of the 3D Dirac delta function.
Hope thats correct, and sorry if this was trivial, certain... | CommonCrawl |
You are provided with video segments with one or many fish in each video segment. These videos are gathered on different boats in that are fishing for ground fish in the Gulf of Maine. The videos are collected from fixed-position cameras that are placed to look down on a ruler. A fish is placed on the ruler, the fisher... | CommonCrawl |
Abstract: We establish interior Schauder estimates for kinetic equations with integro-differential diffusion. We study equations of the form $f_t + v \cdot \nabla_x f = \mathcal L_v f + c$, where $\mathcal L_v$ is an integro-differential diffusion operator of order $2s$ acting in the $v$-variable. Under suitable ellipt... | CommonCrawl |
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