text stringlengths 100 500k | subset stringclasses 4
values |
|---|---|
We study the probability distribution function (PDF) of the smallest eigenvalue of Laguerre-Wishart matrices $W = X^\dagger X$ where $X$ is a random $M \times N$ ($M \geq N$) matrix, with complex Gaussian independent entries. We compute this PDF in terms of semi-classical orthogonal polynomials, which can be viewed as ... | CommonCrawl |
Abstract: The purpose of this paper is to provide a brief review of some recent developments in quantum feedback networks and control. A quantum feedback network (QFN) is an interconnected system consisting of open quantum systems linked by free fields and/or direct physical couplings. Basic network constructs, includi... | CommonCrawl |
Bonus: Using a lambda function write a function which takes a unit vector $n$ and returns a reflection function.
In order to do long term weather prediction, we'll iteratively apply $T$ to some initial data $x_0$.
Generate a few choices of random initial data and compute the long term probability distribution. Does it ... | CommonCrawl |
Abstract: This talk is focusing to characterize the Christoffel pairs of timelike isothermic surfaces in the split-quaternions $H' = \mathbb R^4_2$. When we restrict the ambient space to the imaginary split-quaternions $Im H' = \mathbb R^3_2$, we also characterize that kind of pair through of the existence of an integr... | CommonCrawl |
I am trying to find the solid angle taken up by a large set of triangles around a central point. I have normalized the vertices of the triangles to a unit sphere around the central point, But the triangles now are slightly inside of the sphere, because their vertices are on the sphere, but the plane between the points ... | CommonCrawl |
I had my students conduct a fermentation experiment manipulating sugar amounts (number of sugar packets in solution) and measuring CO₂ production via capture in a balloon and measuring circumference (very common HS lab experiment). I also had them conduct a trial with two packets of Equal sweetener. To everyone's surpr... | CommonCrawl |
Abstract: We review the results of algebro-geometric approach to $4\times 4$ solutions of the Yang–Baxter equation. We emphasis some further geometric properties, connected with the double-reflection theorem, the Poncelet porism and the Euler–Chasles correspondence. We present a list of classifications in Mathematical ... | CommonCrawl |
Why is the degree of dissociation for a weak acid α, but for a weak base, it's 1−α?
Degree of dissociation of weak acid is $\alpha$. However, when it comes to weak base, degree of dissociation is $1-\alpha$. What is the explanation behind this?
Browse other questions tagged physical-chemistry acid-base or ask your own ... | CommonCrawl |
With M. Argerami, M. Kalantar, M. Kennedy, M. Lupini, and M. Sabok. Research report, 2014.
Abstract: The classification of separable operator spaces and systems is commonly believed to be intractable. We analyze this belief from the point of view of Borel complexity theory. On one hand we confirm that the classificatio... | CommonCrawl |
When limits are involved, the left Riemann sum approaches the right Riemann sum, as $n \to \infty$.
Not the answer you're looking for? Browse other questions tagged riemann-sum or ask your own question.
If the left Riemann sum of a function converges, is the function integrable?
Riemann sums, finding the lower sum?
How... | CommonCrawl |
The quadratic equation 2x^2+4x+1=0 has roots α and β.
Find the quadratic equation with roots α^2 and β^2.
Help with solving the question would be very much appreciated!
2. You can use the factorised result to obtain values for the roots.
4. Try doing the reverse of steps 1-3 using new roots, where the new roots are cal... | CommonCrawl |
Abstract: We study the entropy production of the sandwiched Rényi divergence under a primitive Lindblad equation with GNS-detailed balance. We prove that the Lindblad equation can be identified as the gradient flow of the sandwiched Rényi divergence for any order $\alpha\in (0,\infty)$. This extends a previous result b... | CommonCrawl |
Abstract: The standard one-dimensional generalized model of a viscoelastic body and some of its special cases—Voigt, Maxwell, Kelvin and Zener models are considered. Based on the V. Volterra hypothesis of hereditary elastically deformable solid body and the method of structural modeling the fractional analogues of clas... | CommonCrawl |
Abstract: A wide class of binary-state dynamics on networks---including, for example, the voter model, the Bass diffusion model, and threshold models---can be described in terms of transition rates (spin-flip probabilities) that depend on the number of nearest neighbors in each of the two possible states. High-accuracy... | CommonCrawl |
Even though I am one of the founders of the MathWorks, I only acted as an advisor to the company for its first five years. During that time, from 1985 to 1989, I was trying my luck with two Silicon Valley computer startup companies. Both enterprises failed as businesses, but the experience taught me a great deal about ... | CommonCrawl |
Hyperbolic quadratic matrix polynomials $Q(\lambda) = \lambda^2 A + \lambda B + C$ are an important class of Hermitian matrix polynomials with real eigenvalues, among which the overdamped quadratics are those with nonpositive eigenvalues. Neither the definition of overdamped nor any of the standard characterizations pr... | CommonCrawl |
Notice that algorithms from the first two groups have to be called multiple times to get the full distance matrix.
Now, you should be able to run Packman example.
This scenario is prepared with a working example which finds the shortest tour (TSP solution) based on the Euclidean distance. However, the obstacles in the ... | CommonCrawl |
Is it true that if a Sudoku puzzle has the following features there will be no repetitions in rows, columns and $3 \times 3$ subsquares?
If so, why? Is there a mathematical proof? If not, why? Is there a case where these conditions are satisfied, but is there at least one repetition?
If all the cells are distinct 1 thr... | CommonCrawl |
Abstract: We show that the eight-dimensional instanton solution, which satisfies the self-duality equation $F \wedge F = *_8 F \wedge F$, realizes the static Skyrmion configuration in eight dimensions through the Atiyah-Manton construction. The relevant energy functional of the Skyrme field is obtained by the formalism... | CommonCrawl |
Let $V$ be a finite-dimensional vector space, let $U_1,\dots,U_n$ be subspaces, and let $L$ be the lattice they generate; namely, the smallest collection of subspaces containing the $U_i$ and closed under intersections and sums. Is $L$ finite?
This is well-known to hold if $n\le3$: if $n=3$ then there are at most $28$ ... | CommonCrawl |
How would I calculate CL and CD for a VTOL aircraft while it is in it's takeoff/landing stage?
The particular aircraft is a fixed wing/quadcopter hybrid so I know that I can treat this as a thin rectangular plate problem. However, because the aircraft takes off vertically, I do not understand what formulas to use to ca... | CommonCrawl |
What I had in mind was to extract a series of frequency band and map the power estimate to the intensity of one/many actuators. For instance, very low frequency could control the center of the matrix, the range from C3 to B6 would be mapped to arbitrarily selected actuators and very high frequency would be spread all a... | CommonCrawl |
I use \mathabx package because I like much more their mathematical symbols. Except for the empty set symbol ($\emptyset$ in LaTeX). I would like to changed it by the standard Computer Modern symbol. But I don't know how to do it. There are some examples to import particular symbols, but I don't undertsand them.
has bee... | CommonCrawl |
I am running linear regression models and wondering what the conditions are for removing the intercept term.
In comparing results from two different regressions where one has the intercept and the other does not, I notice that the $R^2$ of the function without the intercept is much higher. Are there certain conditions ... | CommonCrawl |
This jar used to hold perfumed oil. It contained enough oil to fill granid silver bottles. Each bottle held enough to fill ozvik golden goblets and each goblet held enough to fill vaswik crystal spoons. Each day a spoonful was used to perfume the bath of a beautiful princess. For how many days did the whole jar last? T... | CommonCrawl |
in order to change the limit phase value to be 0.
We first define the system of ODEs in terms of symbolic variables.
m = 10; %% [m]: number of oscillators, which we may change later.
th_eq = zeros(m,1); %% Evaluation of Jacobian is at equilibrium, [0;0;0;0].
We next set the physical parameters. Natural frequencies, ho... | CommonCrawl |
Abstract: We develop and test an automated technique to model the dynamics of interacting galaxy pairs. We use Identikit (Barnes & Hibbard 2009, Barnes 2011) as a tool for modeling and matching the morphology and kinematics of the interacting pairs of equal-mass galaxies. In order to reduce the effect of subjective hum... | CommonCrawl |
The square numbers $ 1^2, 2^2, 3^2, 4^2, \cdots, 100^2, 101^2 $ are written on the blackboard. Each minute any two numbers are wiped out, and the absolute value of their difference is written instead. At the end only one number remains.
What is the smallest value that this final number can take?
Is a lower number possi... | CommonCrawl |
19/05/2018�� How to Win at Connect 4. Connect 4 is a two-player strategy game that can be played on a computer or with a board and disks. The board is made up of horizontal and vertical columns that contain slots, and each player takes �... In the game connect four with a $7 \times 6$ grid like in the image below, how ... | CommonCrawl |
We study the geometry of germs of singular surfaces in $\mathbb R^3$ whose parametrisations have an $\mathcal A$-singularity of $\mathcal A_e$-codimension less than or equal to 3, via their contact with planes. These singular surfaces occur as projections of smooth surfaces in $\mathbb R^4$ to $\mathbb R^3$. We recover... | CommonCrawl |
Activations functions are widely used in almost every type of Neural Networks. Feed-forward neural network, Convolutional Neural Networks and Recurrent Neural Networks use activation functions.
There are a lot of different activation functions that could be used for different purposes.
An activation function is used to... | CommonCrawl |
Abstract: Particle capture by a slowly varying one-dimensional periodic potential is studied by the method of averaging . For large time intervals $t\sim 1/\alpha$ ($\alpha$ is the small parameter which characterizes the rate of change of the potential), including the point of intersection of the separatrix, the soluti... | CommonCrawl |
Numerical data can be sorted in increasing or decreasing order. Thus the values of a numerical data set have a rank order. A percentile is the value at a particular rank.
For example, if your score on a test is on the 95th percentile, a common interpretation is that only 5% of the scores were higher than yours. The med... | CommonCrawl |
Life Sciences have been established and widely accepted as a foremost Big Data discipline; as such they are a constant source of the most computationally challenging problems. In order to provide efficient solutions, the community is turning towards scalable approaches such as the utilization of cloud resources in addi... | CommonCrawl |
Abstract: In this paper we show a new way of constructing deterministic polynomial-time approximation algorithms for computing complex-valued evaluations of a large class of graph polynomials on bounded degree graphs. In particular, our approach works for the Tutte polynomial and independence polynomial, as well as par... | CommonCrawl |
Is there a WZW string theory?
This is a naive question. Is there a way to couple the WZW model to gravity to obtain a perturbatively consistent string theory?
where $n_G$ is the Coxeter number of $G$. This $c$ is always positive, so the $WZW$ model must be coupled to gravity in some non-trivial way. Conformal field the... | CommonCrawl |
As part of a CS course, Alice just finished programming her robot to explore a graph having $n$ nodes, labeled $1, 2, \ldots , n$, and $m$ directed edges. Initially the robot starts at node $1$.
While nodes may have several outgoing edges, Alice programmed the robot so that any node may have a forced move to a specific... | CommonCrawl |
Here is a square filled with numbers and holes.
The square is divided in multiple invisible areas which all have their own specific logical sequence.
Although every numbers in an area is found with the same logic, the numbers used to find the next number can come from another area.
Can you find every positive integers ... | CommonCrawl |
Abstract: Field redefinitions occur in string compactifications at the one loop level. We review arguments for why such redefinitions occur and study their effect on moduli stabilisation and supersymmetry breaking in the LARGE volume scenario. For small moduli, although the effect of such redefinitions can be larger th... | CommonCrawl |
A product rule of two or more factors when its product equals to zero is called zero product property.
The product of two or more factors is zero in some cases. It is possible mathematically if at least one of them is equal to zero. The property is used as a rule in mathematics to find the values of the variables.
$a$ ... | CommonCrawl |
An integer $n$ ($2 \leq n \leq 200000$) in the first line is the number of conveyor lanes. The lanes are numbered from 1 to $n$, and two lanes with their numbers differing with 1 are adjacent. All of them start from the position $x = 0$ and end at $x = 100000$. The other integer $m$ ($1 \leq m < 100000$) is the number ... | CommonCrawl |
Wang, W. and Zhou, X. (2018). A draw-down reflected spectrally negative Levy process. arXiv:1812.06923.
Li, P.S. and Zhou, X. (2018). Integral functionals for spectrally positive Levy processes. arXiv:1809.05759.
Foucart, C., Li P.S. and Zhou, X. (2019). Time-changed spectrally positive Levy processes starting from inf... | CommonCrawl |
I am wondering how to solve the following problem efficiently.
Other software for permuation groups (magma, gap) allows to do this by specifing an additional option "on sets/on tuples" to compute the specifed orbits.
I am wondering how could I do the same in sage, given a permuation group $G$ and an $S$ as described ab... | CommonCrawl |
How to find the additive inverse and additive identity of an element of the tensor-product vector space?
(V3) there exists an element $0 \in V$ such that $x + 0 = x$ for every $x \in V$.
How to check the mentioned axioms of a vector space, i.e. (V3) and (V4), for the tensor-product vector space?
PS I am learning tensor... | CommonCrawl |
Abstract: The electrodynamics of topological insulators (TIs) is described by modified Maxwell's equations, which contain additional terms that couple an electric field to a magnetization and a magnetic field to a polarization of the medium, such that the coupling coefficient is quantized in odd multiples of $e^2 / 2 h... | CommonCrawl |
We present the solution of the homogeneous fractional differential Euler-type equation on the half-axis in the class of functions representable by the fractional integral of order $\alpha$ with the density of $L_1(0; 1)$. Using the method of Hermitian forms (Lienard–Schipar's method), solvability conditions are obtaine... | CommonCrawl |
@micsthepick Doing stated action, very painful.
Surely speaking doubles cannot present something diffic-- dammit!
Is this Sphinx's Lair 2 now?
Wecan always runwords into pairsif weneed tospeak doubles.
What about just using words having one greater or fewer syllables compared to other words beside it?
thats easy, not v... | CommonCrawl |
Of the following, which is the product formed when cyclohexanone undergoes aldol condensation followed by heating ?
A rowland ring of mean radius $15\;cm$ has $3500$ turns of wire wound on a ferro magnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetizing current of $12.A$?
A... | CommonCrawl |
Hansel's lemma (not Hensel's lemma) states that if the complete graph on $n$ vertices can be expressed as the union of $r$ bipartite graphs $B_1,B_2,\ldots,B_r$ such that $n_i$ is the number of non-isolated vertices in $B_i$, then $n_1+n_2+\cdots+n_r \geq n\log n$. The first published proof of the lemma is by Georges H... | CommonCrawl |
A matrix whose all elements are arranged in a row is called a Row matrix.
Row matrix is one type of matrix and it is also called as a row vector. In this type of matrix, all elements are arranged in only one row but in different columns.
$M$ is a matrix in general form and it is a row matrix of order $1 \times n$.
It c... | CommonCrawl |
The hypothesis that antioxidant vitamins (ascorbate and tocopherols) along with urate protect blood plasma lipids from oxidation was tested. Dietary fat is also an important factor influencing plasma lipid peroxidation. The purpose of this study was to investigate the role of plasma antioxidants and dietary fat on low ... | CommonCrawl |
作者简介: 苑 霸,男,中国科学院计算技术研究所硕士研究生,研究方向为数字信号处理、机器学习等。E-mail: yuanba@ict.ac.cn;姚 萍,女,中国科学院计算技术研究所副研究员,硕士生导师,研究方向为数字信号处理与嵌入式系统;郑天垚,男,中国科学院计算技术研究所高级工程师,硕士生导师,研究方向为计算机系统结构、信号处理、遥感图像.
Abstract: With the continuous advancement of modern technology, more types of radar and related technologies are continuously being developed, and... | CommonCrawl |
I am using the Newton's method to solve $3\times3$ systems.
For some particular cases, it turns out that at a given iteration, the Jacobian matrix cannot be inverted and that its determinant is very close to zero (looking at the matrix, there are terms that are around 1e+0 and others that are 1e-15).
After investigatio... | CommonCrawl |
I am interested in where you have placed zero in both Venn diagrams, Cong. It is difficult to say whether 0 is odd or even - I can see why you have placed it as an even number, though, as it seems to extend the pattern $8, 6, 4, 2, ... 0$. It's easy to forget that $0$ is a square number - but certainly $0 \times 0=0$.
... | CommonCrawl |
Abstract : In this paper we study a combinatorial optimization problem issued from on-board networks in satellites. In this kind of networks the entering signals (inputs) should be routed to amplifiers (outputs). The connections are made via expensive switches with four links available. The paths connecting inputs to o... | CommonCrawl |
The compound interest on a certain sum at the rate of 5% pa for 2 years is Rs. 287. What is the sum?
A tank is normally filled in 9 hours, but takes 3 hours longer to fill it because of a leak. If the tank is full, then how long will the leak take to empty the tank?
What is the average of the following set of scores?
I... | CommonCrawl |
I describe recent work with with Stefan Hollands that establishes a new criterion for the dynamical stability of black holes in $D \geq 4$ spacetime dimensions in general relativity with respect to axisymmetric perturbations: Dynamic stability is equivalent to the positivity of the canonical energy, $\mathcal E$, on a ... | CommonCrawl |
Hyperoperation is a field of mathematics which studies indexed families of binary operations, Hyperoperations families, that generalize and extend the standard sequence of the basic arithmetic operations of addition, multiplication and exponentiation.
Why are addition and multiplication commutative, but not exponentiat... | CommonCrawl |
Theoretical ex-rights price refers to the theoretical value of a company's share immediately after a right issue. After a right issue the price of a share falls below the prevailing price depending on the number of extra shares issued and the extent of discount at which the new shares are issued. In reality, the actual... | CommonCrawl |
A low-profile dual-polarized wideband omnidirectional antenna with artificial magnetic conductor (AMC) reflector is proposed. The proposed antenna is operated in the long term evolution band (1.7–2.7 GHz), and has a compact size of 200 mm $\times200$ mm $\times $ 30.6 mm (about $0.25\lambda $ height at 2.7 GHz). The an... | CommonCrawl |
Complex genetic disorders often involve products of multiple genes acting cooperatively. Hence, the pathophenotype is the outcome of the perturbations in the underlying pathways, where gene products cooperate through various mechanisms such as protein-protein interactions. Pinpointing the decisive elements of such dise... | CommonCrawl |
I'm pretty sure it is nonsense. I, however, would appreciate comments and your thoughts.
No. Just the odd equation that happened. I know it is absurd, but... I think this has more to do with intuitive sense, more than mathematics or science...although intuitive insights are common to both art and science. I was hoping ... | CommonCrawl |
Abstract: This paper presents a comprehensive analysis on the security of the Yi-Tan-Siew chaotic cipher proposed in [IEEE TCAS-I 49(12):1826-1829 (2002)]. A differential chosen-plaintext attack and a differential chosen-ciphertext attack are suggested to break the sub-key K, under the assumption that the time stamp ca... | CommonCrawl |
This matrix equation has the trivial solution $x = 0$. The equation in general has either $1$ solution or infinitely many solutions.
Now recall from linear algebra that a matrix equation of the form $Ax = 0$ has infinitely many solutions if and only if $\det A = 0$. For the matrix equation above, this means that $(A - ... | CommonCrawl |
Abstract: A new class $\mathcal H_q(\alpha, b, n)$ of Bazilevi\v c functions of type $\alpha$ defined in terms of quasi-subordination is presented. We obtain the coefficient estimates as well as the Fekete-Szeg\"o inequality of functions that are related to the new class. The improved results for the associated classes... | CommonCrawl |
In the classical Gaussian analysis the Clark-Ocone formula can be written in the form $$ F=\mathbf EF+\int\mathbf E_t\partial_t FdW_t, $$ where the function (the random variable) $F$ is square integrable with respect to the Gaussian measure and differentiable by Hida; $\mathbf E$ denotes the expectation; $\mathbf E_t$ ... | CommonCrawl |
Then we can represent this evolution via a labeled rooted binary tree: the root represents the root life-form at time 0, and each branching of the tree represents a different evolution. The labels mark which life-form is which. Of course this model isn't perfect (I can't find the word for it but it's a thing where two ... | CommonCrawl |
Two-dimensional turbulent flows host two disparate cascades: of enstrophy and of energy. The phenomenological theory of turbulence, which provides the theoretical underpinning of these cascades, assumes local isotropy. This assumption has been amply verified via computational, experimental and field data amassed to dat... | CommonCrawl |
Abstract: In the limit of large central charge $c$ the 4-point Virasoro conformal block becomes a hypergeometric function. It is represented by a sum of chiral Nekrasov functions, which can also be explicitly evaluated. In this way the known proof of the AGT relation is extended from special to generic set of external ... | CommonCrawl |
Atlas publication policy, available from the atlas publication committee web page: http://atlas.web.cern.ch/atlas/groups/general/scinotes/scinotes.html.
Final report of the atlas aod/esd definition task force, atlas-soft-2004-006. 2004.
Report of the event tag review and recommendation group, atl-soft-pub-2006-002. 2... | CommonCrawl |
We consider a Wigner-type ensemble, i.e. large hermitian $N\times N$ random matrices $H=H^*$ with centered independent entries and with a general matrix of variances $S_ xy =\mathbb E|H_ xy |^2$. The norm of $H$ is asymptotically given by the maximum of the support of the self-consistent density of states. We establish... | CommonCrawl |
We study relations between spectra of two operators that are connected to each other through some intertwining conditions. As an application, we obtain new results on the spectra of multiplication operators on $B(\mathcal H)$ relating it to the spectra of the restriction of the operators to the ideal $\mathcal C_2$ of ... | CommonCrawl |
Let $(M, g) = (N_1, g_1) \times_f(N_2, g_2)$ be an Einstein warped-product manifold, with metric $g=g_1+f^2g_2$.
What does it mean if the scalar curvature of its base-manifold $(N_1, g_1)$, equal to a multiple of the $f$ warping function?
Does it has any geometrical or physical meaning? | CommonCrawl |
Looking to get your computer repaired? ITX Computer Repair is a fast, reliable Philadelphia Computer Repair and IT support company with reasonable rates. We offer on-site and in-shop desktop and laptop repair at a reasonable price. We pride ourselves on being very knowledgeable in all aspects computer repair, including... | CommonCrawl |
The contribution of the ion current in the lab frame to the total plasma current is studied in the Irvine Field Reversed Configuration (IFRC). A charge-exchange neutral particle analyzer chops the emitted neutrals at a rate of 13 kHz and shows that the peak energy is below the 20eV minimum detectable energy threshold. ... | CommonCrawl |
Abstract: We discuss general properties of $A_\infty$-algebras and their applications to the theory of open strings. The properties of cyclicity for $A_\infty$-algebras are examined in detail. We prove the decomposition theorem, which is a stronger version of the minimal model theorem, for $A_\infty$-algebras and cycli... | CommonCrawl |
Why the sum of residuals equals 0 when we do a sample regression by OLS?
If the OLS regression contains a constant term, i.e. if in the regressor matrix there is a regressor of a series of ones, then the sum of residuals is exactly equal to zero, as a matter of algebra.
Then the OLS estimator $(\hat a, \hat b)$ minimiz... | CommonCrawl |
Let $A, B, S, T$ be sets such that $A \subseteq B$ and $S \subseteq T$.
Let $A, B, S$ be sets such that $A \subseteq B$.
Let $A, S, T$ be sets such that $S \subseteq T$.
Let $A, B, C$ be sets such that $B \ne \O$.
Let $A \times B \subseteq C \times C$.
First we show that $A \subseteq B \land S \subseteq T \implies A \t... | CommonCrawl |
In this paper, an explicit method, hereby called an Exponential Method of variable order, is derived from the earlier published Exponential Method of orders 2 and 3. The present method of variable order commands higher accuracy since it obtains numerical solutions which coincide with the exact theoretical solutions, to... | CommonCrawl |
The objective is to connect all pairs while covering the entire board, but in every puzzle there is always a unique solution connecting all pairs (even without the board-filling constraint).
So in a mathematical language, we are given $t$ pairs of vertices in an $n\times n$ grid, with the promise that there is only one... | CommonCrawl |
"""Spread points to different lattice positions"""
# well as the point in the cell (corner, body center or face center).
# Each lattice point has its own displacement from the ideal position.
# Not checking that shapes do not overlap if displacement is too large.
model_name = opts.type + "_paracrystal"
# in this range ... | CommonCrawl |
Volume 23, Number 7/8 (2010), 659-669.
We prove that every eigenvalue of a Robin problem with boundary parameter $\alpha$ on a sufficiently smooth domain behaves asymptotically like $-\alpha^2$ as $\alpha \to \infty$. This generalizes an existing result for the first eigenvalue.
Differential Integral Equations, Volume ... | CommonCrawl |
How many liters of pure acetic acid must be mixed with 3 liters of a 30% acetic acid to obtain a mixture of 65%?
You ned to think carefully about what this question is asking and develop an algebraic expression.
The original solution is 30 liters of a 30% acetic acid solution so in this solution is $0.30 \times 3 = 0.9... | CommonCrawl |
Now if $(M,g_m)$ and $(N,g_n)$ are 2 Riemannian manifolds we can construct the product $M\times N$ equipped with the riemannian metric $g_m+g_n$.
Is there a link between the "product metric" and the natural metric on $M\times N$ or is it two different things ?
$$ds^2 = dx^2 + dy^2$$ which gives Euclidean distance.
Rela... | CommonCrawl |
by Rudolf Kohulák. Published on 28 April 2016.
Due to the immense popularity of tea, many heated arguments have been started in kitchens, at dinner tables and indeed on the internet concerning the proper way of making it. There is a lot of confusion surrounding tea–making, including—but not limited to—the question of t... | CommonCrawl |
Equivalent formulation of complexity theory in Lambda Calculus?
In complexity theory the definition of time and space complexity both reference a universal Turing machine: resp. the number of steps before halting, and the number of cells on the tape touched.
Given the Church-Turing thesis, it should be possible to defi... | CommonCrawl |
The continuation of the lecture course Algebraic Geometry held in the winter term 18/19.
We will cover the theory of $\mathscr O_X$-modules and their cohomology.
Date/time: Mon, 10-12, Wed, 10-12, S-U-3.03. First lecture: April 8.
Notes on the lecture course: pdf (last updated: April 17).
Date/time: Wed, 12-2pm, S-U-4.... | CommonCrawl |
a solution exists (the problem is finding a closed-form expiration).
$a,b,v,u$ are parameters such that $0<a<b<1$, $v>0$, $u>0$.
Even an approximation for the solution will help. Since an expression is needed then numerical methods are not helpful here.
For numerical solution, I would start here (it's a reasonable expr... | CommonCrawl |
Luigi De Pascale: Local solutions and existence of optimal transport maps for the $$W_\infty$$ Wasserstein distance. Extensions to more classical Monge problems.
Yifeng Yu: Asymptotic behaviour of infinity harmonic functions near isolated singularities.
Jeremy Kilpatrick: How do we do it? Teaching Mathematics to U.S.
S... | CommonCrawl |
Abstract : Multidimensional hypoelliptic diffusions arise naturally as models of neuronal activity. Estimation in those models is complex because of the degenerate structure of the diffusion coefficient. We build a consistent estimator of the drift and variance parameters with the help of a discretized log-likelihood o... | CommonCrawl |
The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field $k$ together with a fixed place $\infty$, the authors construct a family of theta series from the norm forms of "definite" qua... | CommonCrawl |
3/06/2012 · Ancient Rome Did NOT Build THIS Part 2 - World's LARGEST Stone Columns - Lost Technology - Baalbek - Duration: 9:51. Bright Insight 1,048,639 views... It is quite hard to solve non-linear systems of equations, while linear systems are quite easy to study. There are numerical techniques which help to approxi... | CommonCrawl |
Noting links to [`CyclotomicField`](http://www.sagemath.org/doc/reference/number_fields/sage/rings/number_field/number_field.html#sage.rings.number_field.number_field.CyclotomicField) and [`number_field_elements_from_algebraics`](http://www.sagemath.org/doc/reference/number_fields/sage/rings/qqbar.html?highlight=number... | CommonCrawl |
Developing intuition about the derivative.
The derivative of a piecewise linear function. The blue line segments are the graph of a function $f(x)$ that is linear along each of a bunch of small intervals in $x$. You can change $f$ by dragging the blue points, which move the ends of line segments up and down. You can al... | CommonCrawl |
In General > s.a. foliations; Hypersurface; immersions.
$ Def: A map f : S → M between two differentiable manifolds is an embedding if it is an injective immersion.
* Idea: The map f a globally one-to-one immersion, and f(S) does not intersect itself in M.
* In addition: Sometimes one wants S to be homeomorphic to f(S)... | CommonCrawl |
According to the first comment here, it should be, but the brief description of how this is proved is not so clear to me. I am looking to better understand this argument (or another), or locate a reference discussing this. Does it use the fact that $S^2$ has a unique complex structure?
Browse other questions tagged alg... | CommonCrawl |
The left most index varies most rapidly if we look at the looping changes.
If we look at the two dimensional array, the number of elements stored before a particular array location can be calculated as the column number of the element we are looking for summing with the $row \times column$ number of elements. How does ... | CommonCrawl |
how exactly is partial derivative different from gradient of a function?
In both the case, we are computing the rate of change of a function with respect to some independent variable. While I was going through Gradient Descent, there also the partial derivative term and the gradient were written and used separately.
If... | CommonCrawl |
I am interested in studying the implicit function $\alpha^*(y)$ so defined. Any tips to characterize it would be greatly appreciated.
Browse other questions tagged pr.probability fixed-point-theorems fa.functional-analysis or ask your own question.
Is the Binomial Expectation of Convex Function Convex in p?
Does CLT ho... | CommonCrawl |
Quantum-ChromoDynamics (QCD) is the quantum field theory believed to describe the strong nuclear force.
Why hasn't QCD fed back to nuclear engineering?
How many quark flavor quantum numbers are really needed?
How does the instanton break the $U(1)_A$ symmetry in QCD?
The $U(1)_A$ symmetry in QCD is anomalous. Its suppo... | CommonCrawl |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.