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An optical study of the HII region populations evident in three galaxies, M101, M51 and NGC 4449, has been made. Using narrow-band filters, emission line imagery has been taken using a CCD focal-reducing camera, at wavelengths covering the emission from H $\alpha,$ H $\beta,$ (O III) $\lambda$5007 and (S II) $\lambda\l... | CommonCrawl |
How to compute the levy path integral with zero potential?
where h is the Planck constant. It is known that in Feynman functional measure (generated by the process of the Brownian motion) and with zero potential ($V(x)=0$), the amplitude can be computed exactly, but what is the case with the non-Gaussian case? In the p... | CommonCrawl |
This is the second in a series of posts in which I explore concepts in Andrew Ng's Introduction to Machine Learning course on Coursera. In each, I'm implementing a machine learning algorithm in Python: first using standard Python data science and numerical libraries, and then with TensorFlow.
Logistic regression is sim... | CommonCrawl |
Can anyone help me find articles or another information on topics "Thermal superconductivity".
I consider that this is not about thermal effects accompanying the electrical superconductivity, but the thermally superconductivity as an independent phenomenon, realized for ultra-pure materials (materials that contain a ne... | CommonCrawl |
In the talk we will focus mainly on the resonance condition and resonance asymptotics on quantum graphs. We are interested in the number of resolvent resonances enclosed in the circle of radius $R$ in the $k$-plane in the limit $R\to \infty$. In some cases the leading term of the asymptotics is smaller than expected by... | CommonCrawl |
New EFTs and bases can be defined by placing the definition files into the public repository (http://github.com/wcxf/wcxf-bases). This page lists the currently defined EFTs and bases. For each basis, a PDF file listing all the operators is linked.
Standard Model Effective Field Theory with linearly realized electroweak... | CommonCrawl |
Аннотация: In this paper, a compact design of a balanced $1 \times 4$ optical power splitter based on coupled mode theory (CMT) is presented. The design consists of seven vertically slotted waveguides based on the silicon-on-insulator platform. The $1 \times 4$ OPS is modelled using commercial finite element method (FE... | CommonCrawl |
Abstract: The extraction of the weak phase $\alpha$ from $B\to\pi\pi$ decays has been controversial from a statistical point of view, as the frequentist vs. bayesian confrontation shows. We analyse several relevant questions which have not deserved full attention and pervade the extraction of $\alpha$. Reparametrizatio... | CommonCrawl |
Calculates the scattering from a cylinder with spherical section end-caps. Like `barbell`, this is a sphereocylinder with end caps that have a radius larger than that of the cylinder, but with the center of the end cap radius lying within the cylinder. This model simply becomes a convex lens when the length of the cyli... | CommonCrawl |
Abstract: One of the most striking results from the Relativistic Heavy Ion Collider is the strong elliptic flow. This review summarizes what is observed and how these results are combined with reasonable theoretical assumptions to estimate the shear viscosity of QCD near the phase transition. A data comparison with vis... | CommonCrawl |
ALWAYS 4 WILL BE THE SCALING FACTOR IN THE HLEN FIELD?
I have just one doubt..
then we continue with the process ??
so here we assume Header length of IP-datagram + Header length of TCP = 10B ??
why are we talking about sequence number in ipv4??
The no of data bytes of ipv4 packet a head of any fragment divided by 8 is... | CommonCrawl |
$\theta$ and $\alpha$ are two angles of the two different triangles, and $n$ is a real number. The sine of angle $\theta$ is equal to the product of $n$ and sine of sum of angles $\theta$ and $2 \alpha$.
On the basis of this equation, the value of $\tan(\theta +\alpha) \cot \alpha$ is required to find trigonometrically... | CommonCrawl |
A question on the existence of Dirac points in graphene?
When considering the asymptotic continuity of quantum states, one works with asymptoticly continuous functions.
where n is in the natural numbers $\rho_n$ and $\sigma_n$ are states in a sequence indexed by n, and anything I've missed has the usual definition.
My ... | CommonCrawl |
Abstract: The dimensional-deconstruction prescription of Arkani-Hamed, Cohen, Kaplan, Karch and Motl provides a mechanism for recovering the $A$-type (2,0) theories on $T^2$, starting from a four-dimensional $\mathcal N=2$ circular-quiver theory. We put this conjecture to the test using two exact-counting arguments: In... | CommonCrawl |
This is a quote from the 1986 movie, "True Stories", and it's true; well, almost true. You could buy four packs of $10$ hotdogs and five packs of $8$ buns. That would give you exactly $40$ of each. However, you can make things even with fewer packs if you buy two packs of $10$ hotdogs, along with a pack of $8$ buns and... | CommonCrawl |
for a spherical cavity of radius $r_c$, $V_c = 4/3 \times \pi r_c^3$.
where $m$ is a mass and $k$ a stiffness.
The mass is composed of the particles inside the neck while the much larger number of particles inside the cavity constitutes the spring stiffness.
Hypothesis: all dimensions are smaller than the acoustic wave... | CommonCrawl |
Gelation of rodlike polymers was studied by a variety of techniques. Fourier transform video microscopy was used to quantitatively study poly(p-phenylenebenzobisthiazole) in sulfuric acid on a preformed gel and as the gelation process occurred. Differential scanning calorimetry was used to determine the extent of the s... | CommonCrawl |
The client has access to the Mathematica files, either locally or from a file server on the network.
The license server running MathLM is available on the TCP/IP network.
A license server can also function as its own client. However, this is not recommended. If the machine has to be rebooted for any reason, the serving... | CommonCrawl |
Problem: Let $x_1, x_2$ be the two roots for equation $x^2+x-3=0$, find the value of $x_1^3-4x_2^2+19$.
Solution: $x_1,x_2$ are roots of the equation $x^2+x-3$, so $x_1^2+x_1-3=0$ and similarly $x_2^2+x_2-3=0$. Hence, $x_1^2=3-x_1,x_2^2=3-x_2$, and we have $x_1^3-4x_2^2+19=x_1(3-x_1)-4(3-x_2)+19$. Simplifying and subst... | CommonCrawl |
31 July, 2018 The slide file was uploaded.
law of the iterated logarithm.
Journal of Logic and Analysis, Vol 10, pp.1–13, 2018.
We consider the behaviour of Schnorr randomness, a randomness notion weaker than Martin-L\"of's, for left-r.e. reals under Solovay reducibility. Contrasting with results on Martin-L\"of-random... | CommonCrawl |
What is the probability of $\cos(\theta_1) + \cos(\theta_2) + \cos(\theta_1 - \theta_2) + 1 \le 0$?
What is the probability of $\cos(\theta_1) + \cos(\theta_2) + \cos(\theta_1 - \theta_2) + 1 \le 0$ given that $\theta_1$ and $\theta_2$ are chosen randomly between $0$ and $2\pi$?
amounts to a regionalization of the doma... | CommonCrawl |
Q1. Is every subspace $Y\subset \ell_\infty^c(X)$ isomorphic to $\ell_\infty^c(X)$ complemented?
Q2. If not, does every subspace of $\ell_\infty^c(X)$ isomorphic to $\ell_\infty^c(X)$ contain a subspace still isomorphic to $\ell_\infty^c(X)$ which is complemented?
I was hoping to employ separable injectivity but someho... | CommonCrawl |
Is it possible to come up with an NxN S-box which would have a difference distribution table with N entries of 100% probability?
I am studying the properties of S-boxes and I don't quite understand how a poorly designed S-box can destroy all the cipher's security.
For example, if one replaces the AES-256's S-box table ... | CommonCrawl |
You may wish to explore the problem Which Is Cheaper? before working on this task.
Which is bigger, $n+10$, or $2n+3$?
"I wonder what happens when $n=4$."
"$4+10=14$ but $2 \times 4 + 3$ is only $11$."
"So it looks like $n+10$ is bigger."
"I wonder what happens when $n=10$."
"$10+10=20$ but $2 \times 10 +3$ is $23$."
"... | CommonCrawl |
I am planning to finish school soon and I would like to shed some weight before moving on. I have collected a fair number of books that I will likely never use again and it would be nice to get some money for them. Sites like Amazon and eBay let you sell your book to other customers, but Amazon will also buy some of yo... | CommonCrawl |
In evolutionary game theory and related fields, one often needs to visualize the dynamics of three-dimensional systems, e.g. competition between three strategies $x_1$, $x_2$ and $x_3$ for which $x_1 + x_2 + x_3 = 1$. This is most conveniently done on a 2-simplex (ternary plot, de Finetti diagram), and the following co... | CommonCrawl |
In this talk, we prove Massera's type result for nonlinear dynamic equation on time scales defined on $\mathbb R$ and on infinite dimensional Banach space. Also, we prove that any almost periodic solution of dynamic equation on time scales is a $p$-periodic solution of this equation. These first results hold for any in... | CommonCrawl |
Abstract: For a reflecting Bessel process, the inverse local time at 0 is an \$\alpha\$-stable subordinator, then the corresponding subordinate Brownian motion is a symmetric \$2\alpha\$-stable process. Based on a discussion of Esscher and Girsanov transforms of general diffusions, we would get a comparison theorem bet... | CommonCrawl |
38 Does $\mathbb C\mathbb P^\infty$ have a group structure?
26 Does there exist a closed manifold that can be given both a Euclidean and a Hyperbolic structure?
22 Why are Tamagawa numbers equal to Pic/Sha?
21 Does smooth and proper over $\mathbb Z$ imply rational? | CommonCrawl |
Being a high-school student, I only have a qualitative understanding of the wave mechanical model of atom.
The concerned orbital has $3$ radial nodes (I'm counting the places where the value of the y-coordinate is zero excluding the ones at the extreme left and right).
Hence, the orbital should satisfy $n-l-1=3$. The o... | CommonCrawl |
Abstract: Here we review some results of J. -H. Lee of the $N\times N$ Zakharov–Shabat system with a polynomial spectral parameter. We define a scattering transform following the set-up of Beals–Coifman . In the $2 \times 2$ cases, we modify the Kaup–Newell and Kuznetsov–Mikhailov system to assure the normalization wit... | CommonCrawl |
This is a simple jekyll theme based on minima.
Social account can be set in your _config.yml file. This will be shown in the footer of page.
Any file except 404 in root folder will be add to header, like about.md and archive.html.
Set your google_analytics UA in _config.yml.
Use $\alpha$ for inline formula and $$\Sigma... | CommonCrawl |
I have a large number of data sets. Each data set has something 200K data points lying in a square times a circle. The square is solid $I\times I$. The circle $S^1$ is hollow (dim 1). By reasoning from the experimental setup that produces the data, I am convinced that this collection of points is a sample from mixed no... | CommonCrawl |
In what situations would it be more favorable to use random projection to reduce the dimensionality of a dataset as opposed to PCA? By more favorable, I mean preserve the distances between points of the dataset.
PCA maintains the best possible projection.
With very high dimensions, if speed is an issue, then consider t... | CommonCrawl |
Abstract: Godsil-McKay switching is an operation on graphs that doesn't change the spectrum of the adjacency matrix. Usually (but not always) the obtained graph is non-isomorphic with the original graph. We present a straightforward sufficient condition for being isomorphic after switching, and give examples which show... | CommonCrawl |
The Mantel-Haenszel method is an approach for fitting meta-analytic fixed-effects models when dealing with studies providing data in the form of 2x2 tables or in the form of event counts (i.e., person-time data) for two groups (Mantel & Haenszel, 1959). The method is particularly advantageous when aggregating a large n... | CommonCrawl |
J. Araujo, J-C. Bermond, F. Giroire, F. Havet, D. Mazauric, and R. Modrzejewski. Weighted improper colouring. Journal of Discrete Algorithms, 16:53-66, 2012.
J. Araujo and C. Linhares Sales. On the Grundy number of graphs with few P4's. Discrete Applied Mathematics, 160(18):2514-2522, 2012.
V. Bilo, M. Flammini, G. Mon... | CommonCrawl |
In this survey, a recent computational methodology paying a special attention to the separation of mathematical objects from numeral systems involved in their representation is described. It has been introduced with the intention to allow one to work with infinities and infinitesimals numerically in a unique computatio... | CommonCrawl |
A well known characteristic of $k$-SAT instances is the ratio of the number of clauses $m$ over the number of variables $n$, i.e., the quotient $\rho = m/n$. For every $k$, there is a threshold value $\alpha$ s.t.\ for $\rho \ll \alpha$, most instances are satisfiable, and for $\rho \gg \alpha$ most instances are unsat... | CommonCrawl |
The $L_\infty$-structure on symplectic cohomologyMar 28 2019We construct the chain level $L_\infty$-structure that extends the Lie bracket on symplectic cohomology.
Cyclic actions on rational ruled symplectic four-manifoldsMar 27 2019Let $(M,\omega)$ be a ruled symplectic four-manifold. If $(M, \omega)$ is rational, th... | CommonCrawl |
NEWS: PhD Course on "Multi-Agent Distributed Optimization and Learning over Wireless Networks" , Paris-Saclay, 3-7/06/2019.
- HYCON2 Workshop on Distributed Optimization in Large Networks and its Applications, Zurich, Swizerland, July 2013.
Symposium on New Directions of Automatic Control, Seoul, Korea, October 2011.
W... | CommonCrawl |
Problem we are trying to solve: Given some data, the goal of machine learning is to find pattern in the data. There are various settings, like supervised learning, unsupervised learning, reinforcement learning, etc. But the most common one is supervised learning; so we're going to focus only on that in the big picture.... | CommonCrawl |
Your task is to find out the number in row y and column x.
Any programming language is allowed.
This is a code-golf challenge so shortest code wins.
The position \$(x, y)\$ is located on arm \$\max(x, y)\$ (assigned to variable z). Then, the largest number on arm \$n\$ is \$n^2\$, which alternates between being in the ... | CommonCrawl |
We will now state a remarkable theorem which tells us that if $H_1$ and $H_2$ are both Hadamard matrices then so is their Kronecker product.
Theorem 1: If $H_1$ is an $m \times m$ Hadamard matrix and $H_2$ is an $n \times n$ Hadamard matrix then $H_1 \otimes H_2$ is an $mn \times mn$ Hadamard matrix.
We know that if $H... | CommonCrawl |
Let $\mathcal R$ be a binary relation on a non-empty set $S$.
that is, that $\mathcal R$ is a left-total relation (specifically a serial relation).
that is, that $\mathcal R$ is a right-total relation.
Some sources call this the Axiom of Dependent Choices, reflecting the infinitely many choices made.
This axiom can be ... | CommonCrawl |
I am learning the basic concept of Newtonian method and text book introduces a function which newtonian step values are Oscillating as a example which is Newtonian method is inapplicable. However, I think for any kind of differentiable function at all domain, oscialltion guarantees the where the root is since if $x_n$ ... | CommonCrawl |
Abstract: We consider Projected Entangled Pair State (PEPS) models with a global $\mathbb Z_N$ symmetry, which are constructed from $\mathbb Z_N$-symmetric tensors and are thus $\mathbb Z_N$-invariant wavefunctions, and study the occurence of long-range order and symmetry breaking in these systems. First, we show that ... | CommonCrawl |
In order to better understand the motion of a serial manipulator arm, an example is given below. A 6 DOF arm is shown, and contains three prismatic and three revolute joints. For this arm, the three revolute joints compose a spherical wrist. The forward and inverse kinematics of the arm will be determined and a demonst... | CommonCrawl |
One of my favorite topic when I discuss models with multiple variables is the notion of transgressive overyielding. When two species are in competition, there is a range of situations for which the total biomass when both species are present is superior to what the most productive species would achieve alone. I like th... | CommonCrawl |
Ramanarayan, H and Abinandanan, TA (2003) Phase field study of grain boundary effects on spinodal decomposition. In: Acta Materialia, 51 (16). pp. 4761-4772.
We have developed a phase field model of a polycrystalline alloy by combining the Cahn–Hilliard model [J Chem Phys 28 (1958) 258] with a model of polycrystals due... | CommonCrawl |
The area of the rectangle is $18$cm$^2$ and its perimeter is $18$cm.
The second shape is $12$cm$^2$ and its perimeter is $22$cm.
Thomas from Colet Court examined the eight shapes which were drawn on the cards. He labelled the shapes A, B, C, D, E, F, G and H, going from left to right in the top row, then left to right ... | CommonCrawl |
1. For how many $n=2,3,4,\ldots,99,100$ is the base-$n$ number $235236_n$ a multiple of $7$?
2.What is the smallest base-10 integer that can be represented as $AA_5$ and $BB_7$, where $A$ and $B$ are valid digits in their respective bases?
This holds true for any \(n\geq 7\).
Consider all possible values of P(n) mod 7 ... | CommonCrawl |
Viechtbauer (2007) is a general article about meta-analysis focusing in particular on random- and mixed-effects (meta-regression) models. An example dataset, based on a meta-analysis by Linde et al. (2005) examining the effectiveness of Hypericum perforatum extracts (St. John's wort) for treating depression, is used in... | CommonCrawl |
Auteur(s): Neumann Walter D., Pichon A.
We investigate the relationships between the Lipschitz outer geometry and the embedded topological type of a hypersurface germ in $(\mathbb C^n,0)$. It is well known that the Lipschitz outer geometry of a complex plane curve germ determines and is determined by its embedded topol... | CommonCrawl |
Suppose $G$ is a finite group with no abelian centralizers. Is it true that $G$ must be a 2-group?
No, this is not necessarily the case. If $G$ is a group such that there are no abelian centralizers in $G$, then $G \times H$ also has this property for any group $H$.
Minimal normal subgroup and its centralizer.
Is it tr... | CommonCrawl |
Convolution algebras for double groupoids?
There is a lot of work of course on convolution algebras of measured groupoids, and this gives "Noncommutative geometry". However there is a lot of interest in algebraically structured groupoids, for example groupoids internal to the categories of say groups, or groupoids, or ... | CommonCrawl |
This semester (Spring 2006) the seminar meets Wednesdays 1:50-2:40, in Milner 317.
A Very Elementary Introduction to the d-bar_b Problem on the Heisenberg group in C^n, IV: Convolution and the group structure on the Heisenberg group with an application to the \bar\partial_b-problem.
Pointwise estimates on kernels of a ... | CommonCrawl |
Problems of Eigenvectors and Eigenspaces. From introductory exercise problems to linear algebra exam problems from various universities. Basic to advanced level. From introductory exercise problems to linear algebra exam problems from various universities.
The dimension of the eigenspace corresponding to an eigenvalue ... | CommonCrawl |
Abstract: It is shown that $2\beta_1(\G)\leq h(\G)$ for any countable group $\G$, where $\beta_1(\G)$ is the first $\ell^2$-Betti number and $h(\G)$ the uniform isoperimetric constant. In particular, a countable group with non-vanishing first $\ell^2$-Betti number is uniformly non-amenable.
We then define isoperimetric... | CommonCrawl |
Let $R$ and $S$ be rings with $1\neq 0$.
Prove that every ideal of the direct product $R\times S$ is of the form $I\times J$, where $I$ is an ideal of $R$, and $J$ is an ideal of $S$.
Let $K$ be an ideal of the direct product $R\times S$.
We claim that $I$ and $J$ are ideals of $R$ and $S$, respectively.
Let $a, a'\in ... | CommonCrawl |
Abstract: We construct global solutions to Type IIB supergravity with 16 residual supersymmetries whose space-time is $AdS_6 \times S^2$ warped over a Riemann surface. Families of solutions are labeled by an arbitrary number $L\geq 3$ of asymptotic regions, in each of which the supergravity fields match those of a $(p,... | CommonCrawl |
Abstract: The colour fields, created by a static gluon-quark-antiquark system, are computed in quenched SU(3) lattice QCD, in a $24^3\times 48$ lattice at $\beta=6.2$ and $a=0.07261(85)\,fm$. We study two geometries, one with a U shape and another with an L shape. The particular cases of the two gluon glueball and quar... | CommonCrawl |
Mixed volumes, which are the polarization of volume with respect to the Minkowski addition, are fundamental objects in convexity. In this note we announce the construction of mixed integrals, which are functional analogs of mixed volumes. We build a natural addition operation $\oplus$ on the class of quasi-concave func... | CommonCrawl |
I am covering the classic literature on predictions of Cabibbo angle or other relationships in the mass matrix. As you may remember, this research was a rage in the late seventies, after noticing that $\tan^2 \theta_c \approx m_d/m_s$. A typical paper of that age was Wilczek and Zee Phys Lett 70B, p 418-420.
The techni... | CommonCrawl |
Can you assemble a formula using the least amount of one digit numbers (from $0$ to $9$) so that the results equals to 2018 with the rules below?
Using a direct square root is not allowed since it is actually power of $0.5$.
You may use brackets to clarify order of operations.
You are allowed to use one digit number as... | CommonCrawl |
where the %$z$% direction is that of the colliding beams.
where the $z$ direction is that of the colliding beams.
Prove that %$\tanh \eta=\cos \theta$%.
Prove that $\tanh \eta=\cos \theta$.
Find the distribution in %$\eta$%.
Find the distribution in $\eta$.
Prove that rapidity equals pseudo-rapidity, %$\eta=y$% for a r... | CommonCrawl |
Tom starts at B then goes right and gets $5$ more which takes him to $15$.
He then goes up four adding $8$ to his score taking him up to $23$.
He then goes right and gets $5$ more taking him to $28$.
So Tom's score ends up at $28$.
Ben starts at B and goes to the left two squares taking his score to $0$.
He then goes u... | CommonCrawl |
I was perusing the "Close Questions" queue just now and noticed a common theme. It seems like a large number of questions involve gaining intuition about some result; most of them use the word "intuitively" and/or have the intuition tag.
Is this a change in site policy? Some of the questions thus tagged seemed like pre... | CommonCrawl |
Ovulation has been hypothesized as an inflammatory process. Interleukin(IL)-1$\alpha$, IL-1$\beta$ and tumor necrosis factor(TNF)-$\alpha$ are potent cytokines produced from macrophages and various other cell types, and are pivotal components of inflammation. Although previous studies have investigated cytokine activit... | CommonCrawl |
Abstract : E-functions are entire functions with algebraic Taylor coefficients satisfying certain arithmetic conditions, and which are also solutions of linear differential equations with rational functions coefficients. They were introduced by Siegel in 1929 to generalize Diophantine properties of the exponential func... | CommonCrawl |
Abstract: Exclusive differential spectra in color-singlet processes at hadron colliders are benchmark observables that have been studied to high precision in theory and experiment. We present an effective-theory framework utilizing soft-collinear effective theory to incorporate massive (bottom) quark effects into resum... | CommonCrawl |
This account is temporarily suspended for rule violations. The suspension period ends in 4 days.
I know some skills in doing Maths.
Maybe I will be there at Milan.
14 My favorite questions need to be classified!
5 Happy Second Birthday, M.SE!
11 Difference between "plotting" and "drawing"
10 Is 2-sylow subgroup of a ra... | CommonCrawl |
How can I get a random positive definite (or positive semi definite) matrix of given order? I know that there is a inbuilt function random_matrix with an additional feature algorithm to set with it. But there we can get some special matrices like 'echelon_form', 'orthogonal' ', 'echelonizable', 'diagonalizable'.... but... | CommonCrawl |
There are $n$ children around a round table. For each child, you know the amount of food they want and the amount of food they currently have. The total amount of food in the table is correct.
At each step, a child can give one unit of food to their neighbour. What is the minimum number of steps needed?
The first input... | CommonCrawl |
1 . What will come in place of the question mark (?) in the following questions?
2 . What will come in place of the question mark (?) in the following questions?
3 . What will come in place of the question mark (?) in the following questions?
4 . What will come in place of the question mark (?) in the following questio... | CommonCrawl |
Given \$n\$ digits and \$m\$ indices \$x\$ from \$1. \ldots,n\$, calculate the difference \$b_y = a_x - a_y\$ for all indices \$y \; (y < x)\$. Then, calculate \$B1\$, the sum of all \$b_y\$ which are greater than \$0\$ and \$B2\$, the sum of all \$b_y\$ which are less than \$0\$. The answer for this step is \$B1 - B2\... | CommonCrawl |
Abstract: We examine the polynomial form of the scattering equations by means of computational algebraic geometry. The scattering equations are the backbone of the Cachazo-He-Yuan (CHY) representation of the S-matrix. We explain how the Bezoutian matrix facilitates the calculation of amplitudes in the CHY formalism, wi... | CommonCrawl |
electricity Web searches / news Regional electricity prices.
The BTC market data is updated daily. Mining distribution, electricity and hardware tables are updated as new information becomes available. A summary of some of the data used is given in the Appendices.
The ultimate goal of the model is to be able to generat... | CommonCrawl |
How did Romans do multiplications?
The Romans hadn't indian numerals, but what 's worse hadn't the decimal system, yet produced amazing works of engineering and architecture. How was that possible? It's troublesome to make simple sums, but how could they make products and complex calcs? Any textbook of math survived to... | CommonCrawl |
We establish the optimal quantization problem for probabilities under constrained Rényi-$\alpha$-entropy of the quantizers. We determine the optimal quantizers and the optimal quantization error of one-dimensional uniform distributions including the known special cases $\alpha = 0$ (restricted codebook size) and $\alph... | CommonCrawl |
When I published the trilateration results there were several people showing interest in how I came up with the results on both the Frontier forums and later Reddit. I posted the full math behind the trilateration but the complex equations made it intimidating for most people which was evident especially in the Reddit ... | CommonCrawl |
I am a first-year undergraduate student at the University of São Paulo. My research interests include (spectral) algebraic geometry and (chromatic) homotopy theory.
You can contact me at theo.de.oliveira.santos[at]usp.br.
13 Is the $\infty$-category of spectra "convenient"?
12 How do topological automorphic forms fit i... | CommonCrawl |
Let $A$ be a commutative ring with unity.
The ring $A$ is local if and only if it has a unique maximal ideal.
The ring $A$ is local if and only if it is nontrivial and the sum of any two non-units is a non-unit.
One also writes $(A, \mathfrak m)$ for a commutative local ring $A$ with maximal ideal $\mathfrak m$. | CommonCrawl |
You're hanging out with a bunch of other mathematicians - you go out to dinner, you're on the train, you're at a department tea, et cetera. Someone says something like "A group of 100 people at a party are each receive hats with different prime numbers and ..." For the next few minutes everyone has fun solving the prob... | CommonCrawl |
Abstract: In the study of deterministic distributed algorithms it is commonly assumed that each node has a unique $O(\log n)$-bit identifier. We prove that for a general class of graph problems, local algorithms (constant-time distributed algorithms) do not need such identifiers: a port numbering and orientation is suf... | CommonCrawl |
We present a method of finding weighted Koppelman formulas for $(p,q)$-forms on $n$-dimensional complex manifolds $X$ which admit a vector bundle of rank $n$ over $X \times X$, such that the diagonal of $X \times X$ has a defining section. We apply the method to $\Pn$ and find weighted Koppelman formulas for $(p,q)$-fo... | CommonCrawl |
Abiti Adili, Bixiang Wang. Random attractors for non-autonomousstochastic FitzHugh-Nagumo systems with multiplicative noise. Conference Publications, 2013, 2013(special): 1-10. doi: 10.3934\/proc.2013.2013.1.
Inkyung Ahn, Wonlyul Ko, Kimun Ryu. Asymptotic behavior of a ratio-dependent predator-prey system withdisease i... | CommonCrawl |
Can the existence of antimatter be inferred from Matrix Mechanics?
It is well known that Antimatter was first predicted by interpreting the matrices that show up in the Dirac Equation as indicating its existence.
Dirac factorizes $E^2=p^2+m^2$ ($c=1,\hbar=1$) into $E=\alpha_x \hat p_x+\alpha_y \hat p_y+\alpha_z \hat p_... | CommonCrawl |
Friday afternoon, 31th May, and Saturday morning, 1th June 2019, at Zentrum Mathematik, Technische Universität München.
Gioia Carinci: Inclusion process, sticky brownian motion and condensation.
Abstract: Many real world phenomena can be modelled by dynamic random networks. We will focus on preferential attachment mode... | CommonCrawl |
Abstract: We present a chemical abundance distribution study in 14 $\alpha$, odd-Z, even-Z, light, and Fe-peak elements of approximately 3200 intermediate metallicity giant stars from the APOGEE survey. The main aim of our analysis is to explore the Galactic disk-halo transition region between -1.20 $<$ [Fe/H] $<$ -0.5... | CommonCrawl |
We introduce the concepts of IVF irresolute mappings and IVF irresolute open mappings, and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces.
Y. B. Jun. G. C. Kang and M. A. Ozturk Interval-valued fuzzy semiopen, preopen and $\alpha$-open mappings, Honam Math. J., 28 (2) (2... | CommonCrawl |
Doubt in the statement of $n$th Derivative Test.
Why curl of a vector field that is proportional to 1/r^2 equal to 0?
Why is the total differential divided by the norm of h bounded?
Finding $A$ such that $\nabla \times A = B$ for given $B$.
Is it possible to integrate the following functions? If so, how? | CommonCrawl |
We give an equivalent description of taut submanifolds of complete Riemannian manifolds as exactly those submanifolds whose normal exponential map has integrable fibers. It turns out that every taut submanifold is also $\mathbb Z_2$-taut, so that tautness is essentially the same as $\mathbb Z_2$-tautness. In the case w... | CommonCrawl |
Plane detection is a widely used technique that can be applied in many applications. For example, augmented reality, where we have to first detect a plane to generate AR models, and 3D scene reconstruction, especially for man-made scenes, which consist of many plane objects. Nowadays, with proliferation of acquisitive ... | CommonCrawl |
Consider a non-compact complete Riemannian manifold $(M, g)$ with smooth compact boundary $\partial M$. Suppose also that $M \setminus \partial M$ has positive/non-negative Ricci curvature.
My question is, is it possible to remove $\partial M$, and replace it by another compact manifold $N$ with boundary $\partial N = ... | CommonCrawl |
I got this problem from Rustan Leino, who Bertrand Meyer, who had heard it was once given on the Putnam exam.
At some point during a baseball season, a player has a batting average of less than 80%. Later during the season, his average exceeds 80%. Prove that at some point, his batting average was exactly 80%.
Also, fo... | CommonCrawl |
The authors of this paper introduce a novel approach to GP classification, called GPD. The authors use a GP to produce the parameters of a Dirichlet distribution, and use a categorical likelihood for multi-class classification problems. After applying a log-normal approximation to the Dirichlet distribution, inference ... | CommonCrawl |
Prove that the given the code calculates the factorial of a positive integer variable x.
We can annotate each line of code describe the properties of the variables (have a look into Hoare logic for more information).
The loop runs $j$ times since the loop will only execute when $x_i > 1$, and from (1), (3), (4) and (5)... | CommonCrawl |
Abstract: Decomposition spaces are simplicial $\infty$-groupoids subject to a certain exactness condition, needed to induce a coalgebra structure on the space of arrows. Conservative ULF functors (CULF) between decomposition spaces induce coalgebra homomorphisms. Suitable added finiteness conditions define the notion o... | CommonCrawl |
Is multiplication by zero clear for and understood by K-3 students?
For K-3 students, perhaps it is not acceptable to introduce multiplication by zero as a property or definition. Instead, the child may think about multiplication as, e.g., repeated addition.
Examples of the "repeated addition" conception: $3 × 2 = 3 + ... | CommonCrawl |
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