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I will teach a lesson on image file formats in a computer science high school class.
Regarding JPEG, I will say that it achieves lossy compression and that it is well suited for photographs but it should not be used for geometric drawings where it can generate artifacts, showing some examples.
However, is it possible t... | CommonCrawl |
Random matrix ensembles are introduced that respect the local tensor structure of Hamiltonians describing a chain of $n$ distinguishable spin-half particles with nearest-neighbour interactions. We prove a central limit theorem for the density of states when $n \rightarrow\infty$, giving explicit bounds on the rate of a... | CommonCrawl |
The radicand (expression inside a radical sign) of a square root cannot be negative as its root is an imaginary number. This means that: (1) The radicand of the first radical, which is $x-2$, must be greater than or equal to 0. Thus, $x$ can be any real number greater than or equal o $2$ (2) The radicand of the second ... | CommonCrawl |
Abstract: This paper addresses the problem of quickest detection of a change in the maximal coherence between columns of a $n\times p$ random matrix based on a sequence of matrix observations having a single unknown change point. The random matrix is assumed to have identically distributed rows and the maximal coherenc... | CommonCrawl |
Bayesian Nerd. Social Psychology PhD Student.
I'm working on [yet another] Bayesian CFA model. I've grown to really like using Stan for latent variable models like CFA, SEM, mixtures, etc.
The problem is that the docs are rather sparse about how to do this, or even where to begin.
This post won't get you to the point o... | CommonCrawl |
P. Manjunathan, Maradur, S. P., Halgeri, A. B., and Shanbhag, G. V., "Room temperature synthesis of solketal from acetalization of glycerol with acetone: Effect of crystallite size and the role of acidity of beta zeolite", Journal of Molecular Catalysis A: Chemical, vol. 396, pp. 47–54, 2015.
J. L. Hodala, Bhat, Y. S.,... | CommonCrawl |
Show that, with the array representation for sorting an $n$-element heap, the leaves are the nodes indexed by $\lfloor n/2 \rfloor + 1,\lfloor n/2 \rfloor + 2, \ldots, n$.
Let's take the left child of the node indexed by $\lfloor n/2 \rfloor + 1$.
Since the index of the left child is larger than the number of elements ... | CommonCrawl |
In the world of model-based inference, unobserved parameters give rise to observed data. There are a number of ways of estimating these parameters; among the most widely used is the Expectation Maximization, or EM algorithm.
But what if instead of one distribution, $X$ is drawn from one of two normal distributions, bas... | CommonCrawl |
by Gelu M. Nita et al.
The study of time-dependent solar active region morphology and its relation to eruptive events requires analysis of imaging data obtained in multiple wavelength domains with differing spatial and time resolutions, ideally in combination with 3D physical models. To facilitate this goal, we have un... | CommonCrawl |
Borisov A. V., Kilin A. A., Pivovarova E. N.
In this paper we consider the control of the motion of a dynamically asymmetric unbalanced ball (Chaplygin top) by means of two perpendicular rotors. We propose a mechanism for control by periodically changing the gyrostatic momentum of the system, which leads to an unbounde... | CommonCrawl |
In this paper, we investigate the ergodic secrecy capacity of a block-fading wiretap channel with limited channel knowledge at the transmitter. We consider that the legitimate receiver, the eavesdropper and the transmitter are equipped with multiple antennas and that the receiving nodes are aware of their respective ch... | CommonCrawl |
Abstract: The first eight orders are calculated in the high-temperature expansion in powers of $\beta=1/kT$ of the function $\varphi(\alpha , \beta)$ ($\alpha$ is the magnetization), which is the Legendre transform of the specific logarithm of the partition function $w$ with respect to the reduced external field $\alph... | CommonCrawl |
There are \(9\) students in Josh's class, and there are \(6\) other classes of the same size in this school (and no other classes). What is the total number of students in this school?
Juan has \(\$41\) left after spending \($10\) on groceries. How much money (in $) did Juan have before going to the grocery store?
In o... | CommonCrawl |
I do not know if this correct. So I ask.
Given a number $n\geq 2$, can we find a Galois extension of $\mathbb Q$ such that the group has order $n$? Similarly, given $n\in \mathbb N$ can we find a totally imaginary number field that is a Galois extension of $\mathbb Q$ and for which the order of its Galois group is $2n$... | CommonCrawl |
It is often nice to consider BIBDs for which the number of points in the BIBD equals the number of blocks, i.e., $v = b$. Such BIBDs are given a special name which we define below.
Definition: A $(v, k, \lambda)$-BIBD $(X, \mathcal A)$ is said to be Symmetric if $v = b$.
The following theorem tells us that every symmet... | CommonCrawl |
Define $F(n)$ to be the number of integers $x≤n$ that can be written in the form $x=a^2b^3$, where $a$ and $b$ are integers not necessarily different and both greater than 1.
For example, $32=2^2\times 2^3$ and $72=3^2\times 2^3$ are the only two integers less than 100 that can be written in this form. Hence, $F(100)=2... | CommonCrawl |
Given a complete, weighted graph with non-negative edge costs, find a route that visits every node exactly once with minimum cost.
With $w=(1+\epsilon)\times\lvert V\rvert$, the TSP-PTAS could be used to decide the Hamiltonian cycle problem in polynomial time.
Mark de Berg. Lecture 7: Polynomial-time approximation sche... | CommonCrawl |
I discuss a geometric interpretation of the twisted indexes of 3d (softly broken) $\cN=4$ gauge theories on $S^1 \times \Sigma$ where $\Sigma$ is a closed genus $g$ Riemann surface, mainly focussing on quivers with unitary gauge groups. The path integral localises to a moduli space of solutions to generalised vortex eq... | CommonCrawl |
Xianghua Zhang, Hweon Park, Sung-Sik Han, Jung Woo Kim and Chang-Young Jang.
ER$\alpha$ regulates chromosome alignment and spindle dynamics during mitosis.. Biochemical and biophysical research communications 456(4):919–25, January 2015.
Abstract Estrogen receptors are activated by the hormone estrogen and they control... | CommonCrawl |
in thich $\alpha$ indicates shifted angle.
Using a cosine-dominated signal for benchmark, the theoretical phase shifted signal shold be a sine signal with same frequency. However, the phase shifted signal shows great differences in edge part refering to the theoretical one and is the same as the signal computed from nu... | CommonCrawl |
DML-CZ - Czech Digital Mathematics Library: No hedgehog in the product?
Assuming OCA, we shall prove that for some pairs of Fréchet $\alpha_4$-spaces $X, Y$, the Fréchetness of the product $X\times Y$ implies that $X\times Y$ is $\alpha_4$. Assuming MA, we shall construct a pair of spaces satisfying the assumptions of ... | CommonCrawl |
This course will describe the classic differential geometry of curves, tubes and ribbons, and associated coordinate systems. We will prove various classic mathematical theorems such as the Weyl-Hotelling formula for tube volumes, and the relation between Link, Twist and Writhe, which couples differential geometry and t... | CommonCrawl |
Why are the trig functions versine, haversine, exsecant, etc, seldom utilized in present society?
Why is this proof of a congruence relation valid?
Famous fractions: Can any "special" numbers be approximated by simple ratios like $3.14\ldots$ as $22/7$?
Proving surjectivity of some map from a power set to a subset of i... | CommonCrawl |
Proceedings of the 20th International Conference on Artificial Intelligence and Statistics, PMLR 54:1412-1420, 2017.
We present the first treatment of the arc length of the GP with more than a single output dimension. GPs are commonly used for tasks such as trajectory modelling, where path length is a crucial quantity ... | CommonCrawl |
Large-eddy simulations (LES) are used to study round jets impinging on rough surface at nozzle-to-plate distance $H/D=1$ ($D$ is the nozzle exit diameter) and Reynolds numbers $Re=U_oD/\nu= 6.6\times10^4$ ($U_o$ is the mean jet velocity). Our aim is to explore the effect of roughness on the evolution of vortices in the... | CommonCrawl |
Can I say that $A$ is a pseudo-differential Operator ?
Not the answer you're looking for? Browse other questions tagged pde regularity-theory-of-pdes elliptic-operators pseudo-differential-operators fractional-sobolev-spaces or ask your own question.
Gårding's inequality for $\mathbb R^n$ implies that for bounded smoot... | CommonCrawl |
The latter seems intuitive but is there any problem in imagining it that way?
By the transfer principle, anything you do with the standard reals looks exactly the same when done internally to the hyperreals.
In particular, there is a hyperreal number line. And (internally) it looks exactly like the standard number line... | CommonCrawl |
α-Linolenic acid (ALA) is an n−3 fatty acid. It is one of two essential fatty acids (the other being linoleic acid), so called because they are necessary for health and cannot be produced within the human body. They must be acquired through diet. ALA is an omega-3 fatty acid found in seeds (chia, flaxseed, hemp, see al... | CommonCrawl |
Looking at the road map it seems that most of the things and tasks listed there are either [DONE] or deferred to [LATER] by now. So to me it seems it is time to consider starting the Public Beta of PhysicsOverflow now :-).
- Glossary of PhysicsOverflow (19). I am not quite sure about what kind of things should be liste... | CommonCrawl |
WHAT IS... a Rauzy Fractal?
We define the Rauzy gasket as a subset of the standard two-dimensional simplex associated with letter frequencies of ternary episturmian words. We prove that the Rauzy gasket is homeomorphic to the usual Sierpiński gasket (by a two-dimensional generalization of the Minkowski ? function) and ... | CommonCrawl |
A polyhedron $P$ has the Integer Carath\'eodory Property if the following holds. For any positive integer $k$ and any integer vector $w$ in $kP$, there exist affinely independent integer vectors $x_1,\ldots,x_t$ in $P$ and positive integers $n_1,\ldots,n_t$ such that $n_1+\cdots+n_t=k$ and $w=n_1x_1+\cdots+n_tx_t$. In ... | CommonCrawl |
When people buy a home they usually have to borrow an appreciable fraction of its value from a bank or other financial institution.
Htsi si na raitlcf ero aparobal no oht wb oerka oceds.
Problem 1. You have a huge pile of 1¢, 2¢, 5¢, 10¢, 20¢, 50¢ and \$1 coins. Some number of coins, $N$ say, total $X$ ¢ . Show that yo... | CommonCrawl |
Clavel, Caroline and Canales, Angeles and Gupta, Garima and Canada, Javier F and Penades, Soledad and Surolia, Avadhesha and Jimenez, Jesus B (2007) NMR Investigation of the Bound Conformation of Natural and Synthetic Oligomannosides to Banana Lectin. In: European Journal of Organic Chemistry, 2007 (10). pp. 1577-1585.... | CommonCrawl |
After learning a lot about applying OO principles, interfaces and a bit about argument-handling I post a revised version of my previous code. This is still an exercise for me to improve my general coding for a simple program. As such I would like to ask to pay special attention towards the application of OO programming... | CommonCrawl |
Let X be a real orientable compact differentiable manifold. Is the (co)homology of X generated by the fundamental classes of oriented subvarieties? And if not, what is known about the subgroup generated?
Rene Thom answered this in section II of "Quelques propriétés globales des variétés différentiables." Every class $x... | CommonCrawl |
Suppose I want to form a 12-bead necklace such that each bead is either red or blue. Necklaces which differ by a rotation are considered the same and beads of the same color are indistinguishable. How may distinct necklaces can I make in this way?
My approach to this problem is as follows. We only have to consider the ... | CommonCrawl |
We propose an efficient commutative group action suitable for non-interactive key exchange in a post-quantum setting. Our construction follows the layout of the Couveignes–Rostovtsev–Stolbunov cryptosystem, but we apply it to supersingular elliptic curves defined over a large prime field $$\mathbb F_p$$, rather than to... | CommonCrawl |
The ARGO-YBJ collaboration Bartoli, B. ; Bernardini, P. ; Bi, X. J. ; et al.
Phys.Rev. D91 (2015) 112017, 2015.
The ARGO–YBJ experiment is a full-coverage air shower detector located at the Yangbajing Cosmic Ray Observatory (Tibet, People's Republic of China, 4300 m a.s.l.). The high altitude, combined with the full-co... | CommonCrawl |
I am a data scientist at Splunk. I got my math PhD at the University of Arizona, specializing in probability theory and differential geometry, and I did a postdoc at the Courant Institute at NYU. Here is a link to my LinkedIn profile, my résumé, and my publications and projects.
30 What is an $(\infty,1)$-topos, and wh... | CommonCrawl |
As a baseline for comparison, we can fit a model to all the clinically-confirmed cases, regardless of lab confirmation status. For this, we will use a simple SIR disease model, which will be fit using MCMC.
Rather than assume all clinical cases are true cases, we can adjust the model to account for lab confirmation pro... | CommonCrawl |
I am trying to find sigmoid function alternatives for logistic regression. I am curious that if I can replace sigmoid function by any cumulative distribution function, and what will be the best?
At a minimum, you are going to need a distribution whose support is $(-\infty, \infty)$ before you could consider using its C... | CommonCrawl |
Building upon the one-step replica symmetry breaking formalism, duly understood and ramified, we show that the sequence of ordered extreme values of a general class of Euclidean-space logarithmically correlated random energy models (logREMs) behave in the thermodynamic limit as a randomly shifted decorated exponential ... | CommonCrawl |
Once there was an inventor congress, where inventors from all over the world met in one place. The organizer of the congress reserved exactly one hotel room for each inventor. Each inventor, however, had its own preference regarding which room he would like to stay in. Being a clever inventor himself, the organizer soo... | CommonCrawl |
[SOLVED] Is there a complex structure on the 6-sphere?
[SOLVED] Open problems in Euclidean geometry?
[SOLVED] Are nontrivial integer solutions known for $x^3+y^3+z^3=3$?
[SOLVED] Can a discrete set of the plane of uniform density intersect all large triangles?
[SOLVED] Are most cubic plane curves over the rationals ell... | CommonCrawl |
Abstract: The high sensitivity and wide frequency coverage of the Murchison Widefield Array allow for the measurement of the spectral scaling of the pulsar scattering timescale, $\alpha$, from a single observation. Here we present three case studies targeted at bright, strongly scattered pulsars J0534+2200 (the Crab pu... | CommonCrawl |
Tatiana Toro, University of Washington, "Uniform Rectifiability via Perimeter Minimization"
Abstract: Quantitative geometric measure theory has played a fundamental role in the development of harmonic analysis, potential theory and partial differential equations on non-smooth domains. In general the tools used in this ... | CommonCrawl |
12 Mar 2019 - Updated tutorial for BDSKY 1.4.5.
In the Bayesian analysis of sequence data, priors play an important role. When priors are not specified correctly, it may cause runs to take very long to converge, not converge at all or cause a bias in the inferred trees and model parameters. Selection of proper priors a... | CommonCrawl |
Search for Dirac structures or Courant algebroids in MathSciNet: These are common generalizations of symplectic and Poisson structures and use the symmetric bilinear form on $TM\times_M T^*M$ on a manifold: Namely, the graph of a symplectic structure as well as the graph of a Poisson structure are maximal isotropic sub... | CommonCrawl |
I've found the trivial solution $(1,1,1)$ but I don't know how to start looking for more... Does this system have an infinite amount of solutions?
Since all the sumands are product of even powers, they cannot be negative, so they all are $0$. That means that each unknown is either $0$ or $1$. But only if they all are $... | CommonCrawl |
K-means problem is a classic NP-hard problem in machine learning and computational geometry, and its seeding algorithms based on the Lloyd's algorithm are hotly studied. In order to cluster the textual data with high dimension in modern data analysis, the spherical K-means clustering is presented. It aims to partition ... | CommonCrawl |
How to Factorize the Composite Numbers?
Now (2×3) n is divisible by 2 and 3 for sure but not divisible by 5. So it can not end with 0.
Explain why $7 \times 11 \times 13 + 13$ and $7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 + 5$ are composite numbers.
It is an exercise for LCM.They will be meet again after... | CommonCrawl |
In the 1960's, Feferman and Schutte did groundbreaking proof-theoretic work to find out the strength of predicative systems of second-order arithmetic. They used the ramified theory of types, a method of disallowing a formula $\phi$ from being substituted into the comprehension schema if it has quantification over all ... | CommonCrawl |
So, the scientist would find C14-to-C12 ratios ranging from: .34 \times 10^$ - to - [insert 000$ year calculation here].The method of carbon dating makes use of the fact that all living organisms contain two isotopes of carbon, carbon-12, denoted 12C (a stable isotope), and carbon-14, denoted 14C (a radioactive isotope... | CommonCrawl |
(See the bottom of the post for Tikz code). This is a Serre fibration, since the image of any map $[0,1]^n\to E$ actually has to land in a connected component of $E$ (and this is the reason for the diagonal tail).
However, the composed map $F\to B$ is just the constant map $1$. The homotopy of this map with the constan... | CommonCrawl |
Abstract: The first mixed problem is investigated for a certain class of parabolic equations with double non-power-law nonlinearities in a cylindrical domain of the form $D=(t>0)\times\Omega$. The domain $\Omega\subset \mathbb R^n$ can be unbounded. The existence of strong solutions in a Sobolev-Orlicz space is proved ... | CommonCrawl |
On a calculator, make $15$ by using only the $2$ key and any of the operations keys ($+$, $-$, $\times$, $\div$).
How many ways can you find to do it?
Calculators. Trial and improvement. Place value. Multiplication & division. Addition & subtraction. Generalising. Factors and multiples. Investigations. Working systemat... | CommonCrawl |
Received June 27, 2016. First published January 12, 2018.
Abstract: Let $\mu$ be a nonnegative Borel measure on $\mathbb R^d$ satisfying that $\mu(Q)\le l(Q)^n$ for every cube $Q\subset\mathbb R^n$, where $l(Q)$ is the side length of the cube $Q$ and $0<n\leq d$. We study the class of pairs of weights related to the bo... | CommonCrawl |
On the support of Pollicott-Ruelle resonant states for Anosov flowsNov 26 2015Sep 15 2016We show that all generalized Pollicott-Ruelle resonant states of a topologically transitiv $C^\infty$-Anosov flow with an arbitrary $C^\infty$ potential, have full support.
Antisymmetry of the stochastic order on all ordered metric... | CommonCrawl |
sliding then what is the angle $\alpha$ made by the plane of hemisphere with inclined plane .
There is no acceleration. The hemispherical shell is *kept static*.
Take moments about the point of contact P. Friction $F$ and normal reaction $N$ act through P so weight $W$ must also act through P. ie COM must lie verticall... | CommonCrawl |
S Yamashita, E Kimura, N Tawara, H Sakaguchi, T Nakama, Y Maeda, T Hirano, M Uchino and Y Ando.
Optineurin is potentially associated with TDP-43 and involved in the pathogenesis of inclusion body myositis.. Neuropathology and applied neurobiology 39(4):406–16, June 2013.
Abstract AIMS: Increasing evidences suggest a si... | CommonCrawl |
We prove a weighted fractional inequality involving the solution $u$ of a nonlocal semilinear problem in $\mathbb R^n$. Such inequality bounds a weighted $L^2$-norm of a compactly supported function $\phi$ by a weighted $H^s$-norm of $\phi$. In this inequality a geometric quantity related to the level sets of $u$ will ... | CommonCrawl |
Abstract: Neural network training relies on our ability to find "good" minimizers of highly non-convex loss functions. It is well-known that certain network architecture designs (e.g., skip connections) produce loss functions that train easier, and well-chosen training parameters (batch size, learning rate, optimizer) ... | CommonCrawl |
I shall report on calculations of isovector matrix elements of the nucleon, such as $g_A, g_s$, and $\langle x \rangle$ on the $48^3 \times 96$ lattice with pion mass at 139 MeV and lattice size of 5.5 fm. We employ overlap valence fermion on the 2+1 flavor DWF configurations for the calculation. Also reported will be ... | CommonCrawl |
Compare the exact theory with the linear theory by plotting curves of $P_2/P_1$ versus $M_1$ for two values of $\delta$, namely $2^\circ$ and $10^\circ$. Use a range of $M_1$ from 1 to 3.
A thin flat plate airfoil is immersed in a supersonic stream of $M_\infty=2.2$ at an angle of attack of $10^\circ$. Determine the li... | CommonCrawl |
This study investigated electron transfer potential of the carbonyl-metallate anions cyclopentadienylirondicarbonyl and methylcyclopentadienyliron-dicarbonyl anions to the electron acceptors 2,2-dinitropropane, 1,1-dinitrocyclohexane, $\alpha$,p-dinitrocumene, methyl cyclopentadienyl-mercury(II) chloride and iodide.
Th... | CommonCrawl |
Parallelism in ABINIT, generalities and environments.
What parts of ABINIT are parallel?
There are many situations where a sequential code is not enough, often because it would take too much time to get a result. There are also cases where you just want things to go as fast as your computational resources allow it. By ... | CommonCrawl |
A general line element and a general metric tensor are defined as functions of two parameters $\alpha$ and $\alpha'$. The related Einstein's field equations of a gravitational potential field in a vacuum, including parameter $\Lambda$, have been derived. The parameters $\alpha$ and $\alpha'$ are identified in a gravita... | CommonCrawl |
:: ) special thanks to : DirtyOperatingSystemTips.COM team and members.
Everything I need to be able to do good old dos. First being released as a function library for mass deployment. Learned vbs and converted the entire library to vbsKit. In the end vbsKit is just the next step for me but at times I still escape to d... | CommonCrawl |
Abstract: Three models of growing random networks with fitness dependent growth rates are analysed using the rate equations for the distribution of their connectivities. In the first model (A), a network is built by connecting incoming nodes to nodes of connectivity $k$ and random additive fitness $\eta$, with rate $(k... | CommonCrawl |
The comment on this question made me think, suppose all holding studs mounted on SRB's do get failed, how much impact would it really result in trajectory, considering same fuel burn time of SRB's.
Considering acceleration of $10~m/s^2$ at launch. To calculate the $\delta V$ lost at launch pad.
$$\delta V = 10 \times \... | CommonCrawl |
Let's look at some examples of evaluating triple integrals over boxes.
Evaluate the triple integral $\iiint_B 2x + 3y + 4z \: dV$ where $B = [0, 1] \times [0, 2] \times [0, 3]$.
Evaluate the triple integral $\iiint_B xye^x \: dV$ where $B = [0, 1] \times [0, 2] \times [0, 1]$.
We immediately set up our triple integral ... | CommonCrawl |
This article is about alpha-linolenic acid. For other uses, see Linolenic acid.
The word linolenic is an irregular derivation from linoleic, which itself is derived from the Greek word linon (flax). Oleic means "of or relating to oleic acid" because saturating linoleic acid's omega-6 double bond produces oleic acid.
α-... | CommonCrawl |
Machine Learning has developed several efficient techniques for a wide range of problems. A single technique or model like Googlenet is used across various problems such as image classification, object detection and others. Some models like MobileNet are designed to work efficiently in computational limited resources l... | CommonCrawl |
In a previous post, I presented a method of deriving the explicit formula for the terms of the Fibonacci Sequence. In this post, I will present a more concrete method that can be applied to an entire class of recursively-defined sequences.
Let us start by returning to the problem of the Fibonacci Sequence: If we move a... | CommonCrawl |
The Poisson regression model is often used as a first model for count data with covariates. Since this model is a GLM with canonical link, regression parameters can be easily fitted using standard software. However the model requires equidispersion, which might not be valid for the data set under consideration. There h... | CommonCrawl |
This basis has the same angle $\alpha$ between the two axes as given in the figure, namely $\tan \alpha = \beta$. However, this transformation would make the $S'$ basis have axes that are at an obtuse angle relative to the $S$ basis, whereas most Minkowski diagrams I've seen have $S'$ axes within the $S$ axes at an acu... | CommonCrawl |
Comment on "Weak value amplification is suboptimal for estimation and detection"Feb 02 2014The assumptions of Ferrie and Combes are irrelevant for realistic experimental situations. This undermines their conclusions.
Proper holomorphic mapppings between Reinhardt domains in $\mathbb C^2$May 22 2008We describe all possi... | CommonCrawl |
How do I get a list of control qubits from Q# operations when tracing the simulation in C#?
I'm having trouble writing the Controls function, which extracts a list of qubits being used as controls. When the operation is uncontrolled, or controlled by 0 qubits, the returned array should be of length 0.
The issue I'm run... | CommonCrawl |
Is the linear span of special orthogonal matrices equal to the whole space of $N\times N$ matrices?
When is a blow-up non-singular?
Why are they called Spherical Varieties?
Algebraic Topology Beyond the Basics:Any Texts Bridging The Gap?
How to find Erdős' treasure trove?
Is there non-simple-connected projective variet... | CommonCrawl |
Do we have an $L^1$ function whose Fourier series converges almost everywhere but not to itself?
The formulation seems specific enough to me. If the partial sums of the Fourier series converge to a function $g$ a.e., then so do the Cesaro means. But these converge in the $L^1$-sense to the original function. So the ans... | CommonCrawl |
Let $G_1, G_2$ be two lie groups, $V$ be a finite dimensional (continuous) irreducible complex representation of $G_1 \times G_2$, must $V \cong V_1 \otimes V_2$ for some irreducible representation $V_i$ of $G_i$?
If $G_i$ are compact, this is true by Peter-Weyl theorem.
If the field is $\mathbb C$, There are many ways... | CommonCrawl |
Add ord_pairs to retrieve $N_c$, $N_d$, ties and total number of pairs for contingency tables. Internals for this function are straight up copied from this gist.
Add etasq in case you want to show students what $\eta^2$ is without having to explain ANOVA.
Eliminate vcd dependency, also in favor of DescTools.
Eliminate ... | CommonCrawl |
PbSnF$\sb4$ is the highest performance fluoride ion conductor known to date. We have studied the phase transitions it undergoes under three different conditions: (i) versus the amount of hydrofluoric acid used for the preparation by the aqueous route, (ii) upon application of mechanical energy, and (iii) versus tempera... | CommonCrawl |
A set with an operation defined on a family of subsets is studied. The operation is used to generalize the topological space itself. The operation defines the operation-open subsets in the set. Relations are studied among two types of the interiors and the closures of subsets. Some properties of maximal operation-open ... | CommonCrawl |
We investigate totally geodesic foliations (M, F) of arbitrary codimemsion q on n-dimensional pseudo-Riemannian manifolds for which the induced metrics on leaves don't degenerate. We assume that the q-dimensional orthogonal distribution D to (M, F) is an Ehresmann connection for this foliation. Since the usual graph G(... | CommonCrawl |
Is there a formal definition of an energy cascade in terms of the energy transfer kernel?
diverges as the high pass filter velocity $\Omega \rightarrow \infty$.
First of all, why is $F$ called "flatness", it should be a measure of flatness of what? What does it mean for $F$ to diverge in the high frequency (UV) limit? ... | CommonCrawl |
Questions On My Exam, did i answer correctly?
where C is a constants. What is the value of C?
Which of the following functions could qualify as the density function of a random variable?
Last edited by Ku5htr1m; August 29th, 2014 at 12:25 PM.
We require the integral to be equal to 1, so $C = \tfrac32$.
2) There are no ... | CommonCrawl |
1 . What will come in place of question mark (?) in the given questions?
12 7.5 9 15 31.5 ?
2 . What will come in place of question mark (?) in the given questions?
3 . What will come in place of question mark (?) in the given questions?
2 3 10 39 172 ?
A pipe can fill a tank in 8 hrs, but due to a leakage it took 29$1... | CommonCrawl |
Title: The spin of prime ideals and applications.
where $\alpha$ is a totally positive generator of $a$ and $(*/*)_K$ is the quadratic residue symbol in $K$. Friedlander, Iwaniec, Mazur and Rubin prove equidistribution of $spin(\sigma, p)$ as $p$ varies over the odd principal prime ideals of $K$. In this talk I will sh... | CommonCrawl |
Abstract: Modern microprocessors are equipped with Single Instruction Multiple Data (SIMD) or vector instructions which expose data level parallelism at a fine granularity. Programmers exploit this parallelism by using low-level vector intrinsics in their code. However, once programs are written using vector intrinsics... | CommonCrawl |
Abstract: The distribution of the $K^\pm\to\pi^\pm\pi^+\pi^-$ decays in the Dalitz plot has been measured by the NA48/2 experiment at the CERN SPS with a sample of $4.71\times 10^8$ fully reconstructed events. With the standard Particle Data Group parameterization the following values of the slope parameters were obtai... | CommonCrawl |
Why do most space probes survive for far longer than they were designed for?
Looking back to Opportunity (Rest In Peace, little friend), it was apparently designed to operate for 90 days but it ended up going for 16 years which is approximately 64 times longer than the engineers hoped for. This blows my mind. The techn... | CommonCrawl |
We show that every $n\times n$ matrix can be decomposed into (i) a product of $n/2 $ Toeplitz matrices, (ii) a product of $n/2$ Hankel matrices, (iii) a product of $4n$ Vandermonde matrices, (iv) a product of $16n$ bidiagonal matrices, or (v) a product of $n^2$ companion matrices. We will see that such decompositions d... | CommonCrawl |
When is every orbit closure uniquely ergodic?
Can the full shift be embedded in a flow?
Is there a minimal, topologically mixing but not positively expansive dynamical system?
Is there a topologically mixing and minimal homeomorphism on the circle (or on $\mathbb S^2$)?
Hausdorff dimension = entropy/Lyapunov exponent f... | CommonCrawl |
A Radiative Hydrodynamic model applied to solar flares.
In order to study the properties of faint and moderate flares, we simulate the conditions of the solar atmosphere using a radiative hydrodynamic model (Allred et al, 2005). In the simulation, a constant beam of non-thermal electrons is injected at the apex of 1D c... | CommonCrawl |
Magnitude of a Vector. Calculating the magnitude of any vector.
Dot Product. Calculating the dot product of any two vectors.
Cross Product. Calculating the Cross product of any two vectors.
Multivariable Functions. Multivariable functions in Sage.
Converting a multivariable function to a parametric function Using sage ... | CommonCrawl |
If X and Y are independent random variables that are normally distributed (and therefore also jointly so), then their sum is also normally distributed.
That is $X \sim N(\mu_1,\sigma^2_1)$, $Y \sim N(\mu_2,\sigma^2_2)$ and $Z = X + Y$.
Does the same result apply? Thanks in advance.
As the integral is taken over the who... | CommonCrawl |
1) We found that the membrane detection is the key of neuron segmentation in our studies. To solve the problem of neuron membrane detection, we proposed to use deep convolutional neural networks (DCNN). We firstly constructed the pixel classifier based on DCNN with the image block centred around each pixel as its input... | CommonCrawl |
Historically, this object arose as an axiomatization of "vertex operators" in "conformal field theory" from physics; I don't know what these phrases mean.
To date, I haven't been able to gather together any kind of intuition for a vertex algebra, or even a precise justification as to why anyone should care about them a... | CommonCrawl |
The International Commission for Perfect Cars (ICPC) has constructed a city scale test course for advanced driver assistance systems. Your company, namely the Automotive Control Machines (ACM), is appointed by ICPC to make test runs on the course.
The test course consists of streets, each running straight either east-w... | CommonCrawl |
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