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The DAMA/LIBRA set-up (about 250 kg highly radiopure NaI(Tl)) is running at the Gran Sasso National Laboratory of the I.N.F.N.. This experiment is mainly dedicated to the investigation of Dark Matter (DM) particles in the galactic halo by exploiting the model independent DM annual modulation signature. In its first pha... | CommonCrawl |
A Celtic knot pattern $4\times4$ looks like this. You can see how it is built up on a grid.
A Celtic knot pattern $8\times8$ looks like this on a grid.
A Celtic knot pattern $6\times6$ looks like this.
Can you build it up? There is a copy of the design to download here.
You can do it by making a set of cards to use on ... | CommonCrawl |
Password Depot Crack is a powerful and very user-friendly password manager for PC which helps to organize all of your passwords – but also, for instance, information from your credit cards or software licenses. The software provides security for your passwords – in three respects: It safely stores your passwords, guara... | CommonCrawl |
1(a) Give the comparison of DFS, BFS, Iterative deeping and Bidirectional search.
1(c) Explain modus ponen with suitable example.
1(d) Draw and Explain general model of Learning Agent.
1(e) Explain the Limitation of propositional logic with suitable example.
2(a) Explain Hill climbing and simulated Annealing with suita... | CommonCrawl |
As we are looking for finite-energy solutions to the field equations the SU(2) gauge field must tend to a pure gauge and the Higgs field to its vacuum value. This means we can map the sphere at infinity $S^2_\infty$ into the Higgs vacuum manifold SU(2)~$S^3$.
$$S^1\wedge S^2_\infty\sim S^3_\infty$$ and the map $$S^3_\i... | CommonCrawl |
Given $1\le p\infty$ and $k$ what is the minimal $n$ such that $\ell_p^n$ almost isometrically contain all $k$-dimensional subspaces of $L_p$? I'll survey what is known about this problem and then concentrate on a recent result, basically solving the problem for even $p$. The proof uses a recent result of Batson, Spiel... | CommonCrawl |
Base-10 Blocks to a Billion!
In case any of my readers do not meet the above criterion, these blue (sometime orange) plastic blocks are manipulatives used in classrooms to help teach kids all sorts of mathematical concepts, from addition and subtraction to place value and volume. The smallest discrete unit is $1 cm^3$ ... | CommonCrawl |
Abstract: We estimate the potential energy for a system of three static gluons in Lattice QCD. This is relevant for the different models of three-body glueballs have been proposed in the literature, either for gluons with a constituent mass, or for massless ones. A Wilson loop adequate to the static hybrid three-body s... | CommonCrawl |
You are given an array $A[1...N]$ with integers in decreasing order and a list of pairs $(a_1, b_1)$, $(a_2, b_2),$ $\ldots $, $(a_ K, b_ K)$. You wish to sort the array $A$ in increasing order, each turn you choose an $i$ ($i$ can be chosen multiple times) and swap $A[a_ i]$ with $A[b_ i]$. Determine whether this is p... | CommonCrawl |
Abstract: A regular topological space $X$ is defined to be a $\mathfrak P_0$-space if it has countable Pytkeev network. A network $\mathcal N$ for $X$ is called a Pytkeev network if for any point $x\in X$, neighborhood $O_x\subset X$ of $x$ and subset $A\subset X$ accumulating at a $x$ there is a set $N\in\mathcal N$ s... | CommonCrawl |
Information-theoretic approaches provide methods for model selection and (multi)model inference that differ quite a bit from more traditional methods based on null hypothesis testing (e.g., Anderson, 2007; Burnham & Anderson, 2002). These methods can also be used in the meta-analytic context when model fitting is based... | CommonCrawl |
"Our subject starts with homology, homomorphisms, and tensors. Homology provides an algebraic 'picture' of topological spaces, assigning to each space X a family of abelian groups $ H_0(X), \ldots, H_n(X) $, to each continuous map $ f : X \rightarrow Y $ a family of group homomorphisms $ f_n : H_n(X) \rightarrow H_n(Y)... | CommonCrawl |
There are a large number of different definitions used for sample quantiles in statistical computer packages. Often within the same package one definition will be used to compute a quantile explicitly while other definitions may be used when producing a boxplot, a probability plot or a QQ-plot. We compare the most comm... | CommonCrawl |
Is there a theory of "hybrid" geometries?
Standard 2D geometries, elliptic, Euclidean and hyperbolic, can be all derived from the same basic idea: start with projective geometry formed by lines and planes through origin in $R^3$ and then put some quadric in its way. $x^2 + y^2 + z^2 = 1$ for elliptic, $z^2 = 1$ for Euc... | CommonCrawl |
The objective of this research was to provide a vaccine for the control of brucellosis in reindeer, that allows serologic discrimination between vaccinated and infected animals. Three vaccines were tested: (1) Brucella suis 1, (2) B. suis 3, and (3) A rough mutant of the infective strain, B. suis 4. All were heat-kille... | CommonCrawl |
In the following two propositions we will see the connection between a linear map $T$ being injective/surjective and the corresponding adjoint matrix $T^*$ being surjective/injective.
Proposition 1: Let $V$ and $W$ be finite-dimensional nonzero inner product spaces and let $T \in \mathcal L (V, W)$. Then $T$ is injecti... | CommonCrawl |
Plotting curves of various types, such as straight lines, functions, parametric functions and polygons of various types form the basis of most graphic functionalities.
To understand how to deal with plotting curves, first we need to understand how a screen works. In most cases, the interaction between the computer itse... | CommonCrawl |
You are standing on a roof in Israel at the top of the Ladder. You notice that there is a small package taped to the top rung of the ladder. You pick it up and take it to your hotel.
The image above has two prime numbers associated with it. Multiply them together and you have the key for the cryptic-clue that comes wit... | CommonCrawl |
A small block having charge +Q placed on a frictionless horizontal table is attached to one end of a spring of force constant k. The other end of the spring is attached to a fixed support and the spring stays horizontally in relaxed state.
Another small block carrying a negative charge -q is brought very slowly from a ... | CommonCrawl |
…the public key $(n,e)$ used to encrypt the plaintexts $p_0$, $p_1$.
…the two plaintexts' difference (that is, $\delta := (p_1 - p_0)\bmod n$).
…the ciphertexts $c_0=m_0^e\bmod n$, $c_1=m_1^e\bmod n$.
This should yield the linear polynomial $z-m$ (except possibly in rare cases).
This means: Assuming the given ciphertex... | CommonCrawl |
It's a simplified model. Suppose $U_t$ is a random variables subject to Lognormal($x_1$, $z_1^2$)distribution. $V_t$ is a random variables subject to Lognormal($x_2$, $z_2^2$)distribution. Suppose they are independent here. The payoff of the heat rate-linked derivatives is $\max(U_T - V_T, 0)$. How to price this option... | CommonCrawl |
Results for "L. Ya. Glozman"
Chiral symmetry restoration in excited hadronsSep 30 2003The evidence, theoretical justification and implications of chiral symmetry restoration in excited hadrons are presented.
Describtion of tne normal basis of boundary algebrasDec 24 2014We investigate normal basis of algebras with smal... | CommonCrawl |
Someone called James Davis has found a counterexample to John H. Conway's "Climb to a Prime" conjecture, for which Conway was offering \$1,000 for a solution.
Let $n$ be a positive integer. Write the prime factorization in the usual way, e.g. $60 = 2^2 \cdot 3 \cdot 5$, in which the primes are written in increasing ord... | CommonCrawl |
Yan Gao, Zhiqiang Xu, Lei Wang, Honglei Xu. Preface. Numerical Algebra, Control & Optimization, 2015, 5(1): i-ii. doi: 10.3934\/naco.2015.5.1i.
Yanli Han, Yan Gao. Determining the viability for hybrid control systems on a region with piecewise smooth boundary. Numerical Algebra, Control & Optimization, 2015, 5(1): 1-9.... | CommonCrawl |
Given $n$ line segments on the plane. It is required to check whether at least two of them intersect with each other. If the answer is yes, then print this pair of intersecting segments; it is enough to choose any of them among several answers.
The naive solution algorithm is to iterate over all pairs of segments in $O... | CommonCrawl |
Chern-Simons terms describe topological properties of systems. A topological property is something that remains unchanged under small geometric changes.
Chern-Simons terms are known under different names in different branches of physics. In fluid mechanics it is usually called "fluid helicity", in plasma physics and ma... | CommonCrawl |
Yes, if there are non-zero fixed costs, and constant marginal cost, then average cost decreases strictly monotonically with quantity, asymptotic to the marginal cost.
Decreasing average cost implies that marginal cost is less than average cost ($MC<AC$, which can be proved by simply taking the first derivative of $C(q)... | CommonCrawl |
Abstract: Electroweak gauge boson pair production is one of the most important Standard Model processes at the LHC, not only because it is a benchmark process but also by its ability to probe the electroweak interaction directly. We present full next-to-leading order predictions for the production cross sections and di... | CommonCrawl |
the Tenth Alexander Friedmann International Seminar on Gravitation and Cosmology and Fourth Symposium on the Casimir Effect to be held from June 23, 2019 (date of arrival) to June 29, 2019 (date of departure) at Saint Petersburg, Russia.
The working language of the Seminar and Symposium is English.
Institute of Physics... | CommonCrawl |
In this paper we study semi-Markov modulated M/M/$\infty$ queues, which are to be understood as infinite-server systems in which the Poisson input rate is modulated by a Markovian background process (where the times spent in each of its states are assumed deterministic), and the service times are exponential. Two speci... | CommonCrawl |
The Dual space of L infty space is not L1 ,are there some example to show this? I am going to use rieze representation thm,but it can not be used because p= $\infty$.
Browse other questions tagged functional-analysis or ask your own question.
What is the dual of the space L-infinity ($L^\infty$)?
Why is the space of fi... | CommonCrawl |
ElGamal is a public key encryption scheme with security based on the discrete logarithm problem.
How to motivate, that in ElGamal Alice the recipient keeps her keys fixed, while Bob the sender changes the key each time - why not both of them change their keys each time?
Can I perform a division of two integers homomorp... | CommonCrawl |
Abstract: We study the positive recurrence of multi-dimensional birth-and-death processes describing the evolution of a large class of stochastic systems, a typical example being the randomly varying number of flow-level transfers in a telecommunication wire-line or wireless network.
We first provide a generic method t... | CommonCrawl |
Over the past few years, Batch-Normalization has been commonly used in deep networks, allowing faster training and high performance for a wide variety of applications. However, the reasons behind its merits remained unanswered, with several shortcomings that hindered its use for certain tasks. In this work, we present ... | CommonCrawl |
This short presentation on generalization by the coauthors Sasha Rakhlin is also worth looking at - though I have to confess much of the references to learning theory are lost on mesho.
While I can't claim to have understood all the bounding and proofs going on in Section 4, I think I got the big picture so I will try ... | CommonCrawl |
With more and more sensors readily available and collection of data becomes more ubiquitous and enables machine to machine communication(a.k.a internet of things), time series signals play more and more important role in both data collection process and also naturally in the data analysis. Data aggregation from differe... | CommonCrawl |
Prime number is a number greater than "1" and is not divisible by any other number except 1 and itself. Prime numbers are positive whole numbers bigger than 1.
Every number can be written in the form of product of prime numbers. These numbers are called prime factors of that number. Every number has a unique set of pri... | CommonCrawl |
Krishnamurthy, Hanumanthappa and Kumar, Prasanna KM and Joshi, chirag v and Krishnamurthy, Hegganahalli N and Moudgal, Raghuveer N and Sairam, Ram M (2000) Alterations in Sperm Characteristics of Follicle-Stimulating Hormone (FSH)-Immunized Men Are Similar to Those of FSH-Deprived Infertile Male Bonnet Monkeys. In: Jou... | CommonCrawl |
Betatron is a particle accelerator. It is cyclic in nature and is used to accelerate electrons. Betatron is named after the name of electrons, as they are also called beta particles. It was developed by Donald Kerst in 1940 at the University of Illinois.
Due to the variation in mass , time period and frequency will als... | CommonCrawl |
What happens if a certain dataset contains different "groups" that follow different linear models?
For example, let's imagine that examining the scatterplot of a certain feature $x_i$ against $y$ we can see that some points follow a linear relationship with a coefficient $\beta_A<0$ while other points clearly have $\be... | CommonCrawl |
Recall from the Compact Sets in a Metric Space page that if $(M, d)$ is a metric space then a subset $S \subseteq M$ is said to be compact in $M$ if for every open covering of $S$ there exists a finite subcovering of $S$.
We will now look at a rather important theorem which will tell us that if $S$ is a compact subset ... | CommonCrawl |
Abstract: The aim of the MIMAC project is to detect non-baryonic Dark Matter with a directional TPC. The recent Micromegas efforts towards building a large size detector will be described, in particular the characterization measurements of a prototype detector of 10 $\times$ 10 cm$^2$ with a 2 dimensional readout plane... | CommonCrawl |
Abstract We measured the density of vibrational states (DOS) and the specific heat of various glassy and crystalline polymorphs of SiO2. The typical (ambient) glass shows a well-known excess of specific heat relative to the typical crystal ($\alpha$-quartz). This, however, holds when comparing a lower-density glass to ... | CommonCrawl |
We already know how to find the distribution of the sum of any two discrete random variables.
By induction, we can extend this to the sum of any finite number of independent variables.
So in principle, we know how to find the distribution of the sum of $n$ independent random variables for $n > 1$. However, this method ... | CommonCrawl |
There is an array that consists of $n$ integers. Some values of the array will be updated, and after each update, your task is to report the maximum subarray sum in the array.
The first input line contains integers $n$ and $m$: the size of the array and the number of updates. The array is indexed $1,2,\ldots,n$.
The ne... | CommonCrawl |
Minimum Cost flow problem is a way of minimizing the cost required to deliver maximum amount of flow possible in the network. It can be said as an extension of maximum flow problem with an added constraint on cost(per unit flow) of flow for each edge. One other difference in min-cost flow from a normal max flow is that... | CommonCrawl |
Journal: Journal of Math. Analysis and Appl.
We establish a Liouville-type theorem for a subcritical nonlinear problem, involving a fractional power of the sub-Laplacian in the Heisenberg group. To prove our result we will use the local realization of fractional CR covariant operators, which can be constructed as the D... | CommonCrawl |
Can I get random element of a user defined class of objects? For example if I define xyz(n) to generate all the $n \times n$ matrices with a particular property. How can I get a random matrix in my class xyz(5).
You have to implement a random_element method by yourself, since sage will not discover which measure has to... | CommonCrawl |
Let $M_1$ and $M_2$ be two symmetric $d\times d$ matrices. What is the relationship between $tr(M_1M_2M_1M_2)$ and $tr(M_1^2 M_2^2 )$?
P.S. I tried a few examples and found $$ tr(M_1M_2M_1M_2) \le tr(M_1^2 M_2^2 ) $$ seems always true. Is there a theorem?
Your conjecture is a special case of the following result which ... | CommonCrawl |
$B$ is a filtered colimit of étale $K$-algebras.
Moreover, every finitely generated $K$-subalgebra of $B$ is étale over $K$.
Assume (1) and (2) hold. We will prove (3) and the finite statement of the lemma. A field is absolutely flat ring, hence $B$ is a absolutely flat ring by Lemma 15.91.8. Hence $B$ is reduced and e... | CommonCrawl |
Given a connected weighted graph with non-negative edges (might have cycles), find the shortest path from a vertex s to a vertex t with at most k edges.
I have done some research on this problem. All proposed solutions point to using Bellman-Ford's algorithm by modifying its outer loop to perform k iterations. This wil... | CommonCrawl |
Abstract: We study the problem of constructing a block-cipher on a "possibly-strange" set $\mathcal S$ using a block-cipher on a larger set $\mathcal T$. Such constructions are useful in format-preserving encryption, where for example the set $\mathcal S$ might contain "valid 9-digit social security numbers" while $\ma... | CommonCrawl |
I got this problem from Rustan Leino, who got it from Vladislav Shcherbina, but changed gloves into T-shirts to emphasize the people rather than the spaces between them.
Each of ten friends goes into a private dressing room where he chooses either a white T-shirt or a black T-shirt to wear. Then, the other T-shirt is t... | CommonCrawl |
We will make it more routine to discuss about some of the Daily Magic Spell problems that the majority of students who have attempted the question on given day did not get it correct. We are interested in hearing your thoughts and interpretation about the problem and offer feedback to your approach in determining the s... | CommonCrawl |
Abstract: The scattering of dark matter (DM) particles with sub-GeV masses off nuclei is difficult to detect using liquid xenon-based DM search instruments because the energy transfer during nuclear recoils is smaller than the typical detector threshold. However, the tree-level DM-nucleus scattering diagram can be acco... | CommonCrawl |
A temporal graph is a graph that changes over time. Assuming discrete time and a fixed set $V$ of vertices, a temporal graph can be viewed as a discrete sequence $G_1, G_2, \ldots$ of static graphs, each with vertex set $V$. Research in this area is motivated by the fact that many modern systems are highly dynamic and ... | CommonCrawl |
The calendars can be marked with events with date ranges, with different markers and styles (updated Dec 18, 2016). Can now be compiled with xelatex (updated Dec 18, 2018).
The corresponding calendar to fit into a 3.5" floppy disk jewel case can be found here; while the one to fit into a CD jewel case can be found here... | CommonCrawl |
The factorial of $4$ is $4\times 3\times 2\times 1=24$.
As for use, the factorial is written $n!$, where "the factorial of 3" would be written as $3!$, and you are meant to compute $3!$ by taking $3\times 2\times 1=6$. So the factorial of a number is found by multiplying the number by all of the integers smaller than i... | CommonCrawl |
(英) To control immune functions by electrostimulation, we have studied the effect of electrostimulation on macrophage functions in vitro. We have reported that ELF electrostimulation affected the endocytic activity of macrophage and that humoral factors mediated this effect. In this study, we examined the amount change... | CommonCrawl |
A Lambert quadrilateral is a quadrilateral three of whose angles are right angles. And in 2-d hyperbolic space $\mathbb H^2$, we have nice formulas for the fourth angle.
By this I mean that if we consider another Lambert quadrilateral $A'O'B'F'$ with $|O'A'|=|OA|$ and $|O'B'|=|OB|$ on a compact surface $(M^2,g)$ with c... | CommonCrawl |
The workshop 'Group Theory, Measure, and Asymptotic Invariants' organized by Miklos Abert (Budapest), Damien Gaboriau (Lyon) and Andreas Thom (Leipzig) was held 18 - 24 August 2013. The event was a continuation of the previous Oberwolfach workshop 'Actions and Invariants of Residually Finite Groups: Asymptotic Methods'... | CommonCrawl |
Matilde Yáñez, Luc\'ıa Galán, Jorge Mat\'ıas-Guiu, Alvaro Vela, Antonio Guerrero and Antonio G Garc\'ıa.
CSF from amyotrophic lateral sclerosis patients produces glutamate independent death of rat motor brain cortical neurons: protection by resveratrol but not riluzole.. Brain research 1423:77–86, 2011.
Abstract The ne... | CommonCrawl |
This is Problem 15.47 from V. V. Prasolov, Problems in Geometry, V 2 (Nauka, 1986).
Two equal rectangles intersect in eight points.
Prove that the area of their intersection (the common area, both of them enclose) is greater than half the area of any of them.
Thus $AC$ is the bisector of the angle between the two long ... | CommonCrawl |
4 How can I undo a recommendation?
4 Should we stop using the homework tag?
16 How can I avoid AUCTeX wrongly inferring the language of a document?
9 How can I set file creation times in ZFS?
7 What does host% mean in command line?
6 Can the vspace below a list environment be decoupled from the one above?
6 $\Bbb Z^\as... | CommonCrawl |
Abstract: The stochastic variational method is applied to excitonic formations within semiconducting transition metal dichalcogenides using a correlated Gaussian basis. The energy and structure of two- to six-particle systems are investigated along with their dependence on the effective screening length of the two-dime... | CommonCrawl |
$U$. ⋆ 100% Private Proxies - Fast, Anonymous, Quality, Unlimited USA Private Proxy!
Let $ u$ and $ v$ be vectors in $ \mathbb R^n$ . The exercise is to prove that if $ ||u+tv|| \ge ||u||$ for all real $ t$ , then $ u\cdot v=0$ ($ u$ and $ v$ are perpendicular).
I tried writing $ v$ as $ (n+xu)$ , where $ u\cdot n=0$ ,... | CommonCrawl |
Abstract: Lov\' asz and Schrijver have constructed semidefinite relaxations for the stable set polytope of a graph $G=(V,E)$ by a sequence of lift-and-project operations; their procedure finds the stable set polytope in at most $\alpha(G)$ steps, where $\alpha(G)$ is the stability number of $G$. Two other hierarchies ... | CommonCrawl |
However, the $\mathrm pK_\mathrm a$ of aniline is 27, which means, that it is, if at all, a very very poor acid, making it in my eyes impossible to deprotonate. Maybe it could be possible with n-BuLi, but that was not part of the reaction. The main topic was a nucleophilic aromatic substitution to 1-bromo-4-nitrobenzen... | CommonCrawl |
We study the nonlinear stability of viscous, immiscible multilayer flows in channels driven both by a pressure gradient and/or gravity in a slightly inclined channel. Three fluid phases are present with two internal interfaces. Novel weakly nonlinear models of coupled evolution equations are derived and we concentrate ... | CommonCrawl |
A triangle sheet of paper has been folded and punched as shown below. How will it appear when opened?
If 2 $\times$ 3 = -1, 3 $\times$ 4 = - 5 and 4 $\times$ 6 = - 14, then 6 $\times$ 9 = ?
6 . In each of the following questions, select the related letter/word/ number from the given alternatives.
123 : 169 : : 126 : ?
... | CommonCrawl |
This challenge is a game for two players. The first player chooses two numbers in this grid and either multiplies or divides them.
He or she then marks the answer to the calculation on the number line.The second player then chooses two numbers and either $\times$ or $\div$, and marks that number in a different colour o... | CommonCrawl |
Von-Newman has a single memory space, share for data and program instructions. Harvard Architecture has separate memory spaces for data and instructions (so you cannot execute from the data memory).
It is important to know that the hardware does all arithmetic in 2's compliment. It is up to the programmer to interpret ... | CommonCrawl |
A one step method for the attachment of a single fluorescent label to peptides through their N-terminus is described. The method employs fluorescein-5-isothiocyanate as the label of choice and a lower than normal derivatization buffer pH that discriminates against $\varepsilon$-amino derivatization in favor of $\alpha$... | CommonCrawl |
C++ Template : one list by class, how to factorize the code?
Hard combinatorics and probability question.
Is there a set non-countable around zero but countable elsewhere?
Prove without using graphing calculators that $f: \mathbb R\to \mathbb R,\,f(x)=x+\sin x$ is both one-to-one, onto (bijective) function.
Can we prov... | CommonCrawl |
It's the time of year for Farmer John to plant grass in all of his fields. The entire farm consists of $N$ fields ($1 \leq N \leq 10^5$), conveniently numbered $1 \ldots N$ and conveniently connected by $N-1$ bidirectional pathways in such a way that every field can reach every other field via some collection of pathwa... | CommonCrawl |
Let $X,Y$ be two compact, smooth, orientable 3 manifolds, each with an incompressible boundary component diffeomorphic to some genus $g $ surface $S_g$. Under an orientation-reversig diffeomorphism $f:S_g \to S_g$, those two manifolds can be glued together to obtain a new smooth, orientable manifold $X \cup_f Y$. I won... | CommonCrawl |
This is intuitively clear. Being an interior point the first two lines follows from the definition. Problem is at the last two sentences. Can someone elaborate it more mathematically. Thanks in advance.
Fib1123 is a new contributor to this site. Take care in asking for clarification, commenting, and answering. Check ou... | CommonCrawl |
I've written a small routine using the LAPACK routine dsyev, which is fine for small matrices but takes a while for the above dimensions I am interested in.
Would anyone suggest a more appropriate routine? I am only interested in the lower eigenvalues, so an iterative procedure would probably be suitable.
Or are there ... | CommonCrawl |
If you are given the graph of a function $z=f(x,y)$, how can you find the graph of the function $z=a\,f(x-x_0,y-y_0)+c$ for some numbers $a$, $c$, $x_0$, and $y_0$?
This is exactly analogous to what you've probably already done in one-variable calculus. Changing these numbers (we'll call them parameters) results in a t... | CommonCrawl |
Abstract: Let $L$ be a linear elliptic, a pseudomonotone or a generalized monotone operator (in the sense of F. E. Browder and I. V. Skrypnik), and let $F$ be the nonlinear Nemytskij superposition operator generated by a vector-valued function $f$. We give two general existence theorems for solutions of boundary value ... | CommonCrawl |
The Environmental Protection Agency (EPA) continues to establish criteria for the reduction of pathogens in environmental waters used for drinking water. The EPA also states criteria on the amount of chlorine by-products allowed in drinking water. Alternative removal methods that are used in conjunction with chlorine a... | CommonCrawl |
For any function, the average rate of change between two points is the same as the gradient of a straight line between those two points.
Note $\Delta$ (delta) is the Greek symbol for capital D and is used to denote "change."
… … ie $\Delta x$ is read as "change in x."
is defined by the limit of the above gradient rule ... | CommonCrawl |
Lai, Ming-Jun and Yin, Wotao. "Augmented L1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm." (2012) https://hdl.handle.net/1911/102192.
This paper studies the models of minimizing $||x||_1+1/(2\alpha)||x||_2^2$ where $x$ is a vector, as well as those of minimizing $||X||_*+1/(2\alpha)||X||_F^2$ w... | CommonCrawl |
Proteins are the machines of life. In order to perform their functions, they must move continuously. The motions correspond to equilibrium fluctuations and to non-equilibrium relaxations. At least three different fluctuation processes occur: $\alpha$- and $\beta$-fluctuations and processes that occur even below one Kel... | CommonCrawl |
In the study of statistical inference, entropy is a measure of uncertainty, or lack of information. But now we can interpret it as a measure of biodiversity: it's zero when just one species is present, and small when a few species have much larger populations than all the rest, but gets big otherwise.
Last time I showe... | CommonCrawl |
This is a question about Rubik's Cube and generalizations of this puzzle, such as Rubik's Revenge, Professor's cube or in general the $n \times n \times n$ cube.
Let $g(n)$ be the smallest number $m$, such that every realizable arrangement of the $n \times n \times n$ cube can be solved with $m$ moves. In other words, ... | CommonCrawl |
Abstract: Using the relation between distance modulus $(m - M)$ and redshift $z$, deduced from Friedman- Robertson-Walker (FRW) metric and assuming different values of deceleration parameter $q_0$. We constrained the Hubble parameter $h$. The estimates of the Hubble parameters we obtained using the median values of the... | CommonCrawl |
What are the debts and how did the mathematician determine them?
4, 4, 3 and 1 dollar.
Now, the mathematician knows his own debt, so if he's unsure of the distribution of the others, there must be multiple partitions of 12 in four parts with a product equal to his debt. That's only the case for 48, which can be split a... | CommonCrawl |
The following question I jotted down from an online quantum chemistry pdf.
in which $P_j$ is the projection operator and $H$ is the Hamiltonian. We are given the usual time-dependent form of Schrodinger's equation.
If this works (I don't assume that), my question is whether there is a direct way to do this, using the d... | CommonCrawl |
Abstract: These lectures provide an overview of Quantum Chromodynamics (QCD), the SU(3) gauge theory of the strong interactions. The running of the strong coupling and the associated property of Asymptotic Freedom are analyzed. Some selected experimental tests and the present knowledge of $\alpha_s$ and the quark masse... | CommonCrawl |
Abstract: The simple $m^2\phi^2$ potential as an inflationary model is coming under increasing tension with limits on the tensor-to-scalar ratio $r$ and measurements of the scalar spectral index $n_s$. Cubic Galileon interactions in the context of the Horndeski action can potentially reconcile the observables. However,... | CommonCrawl |
Geometric / physical / probabilistic interpretations of Riemann zeta(n>1)?
Are there some known identities of elliptic polylogarithms similar to the Abel identity of polylogarithm?
For any given $p$ such that the $p$ dependent part of the argument is a negative integer one can do the usual Laurent expansion of the Gamm... | CommonCrawl |
by Eric Worrall so it may be a good idea to recall the story and mention several rather predictable events that took place in recent days.
Nuclear fusion cannot be "cold". This fact must be comprehensible to every good undergraduate student who has gone at least through the first semester of some nuclear physics course... | CommonCrawl |
Recently I decided to give Julia a try. Julia is a relatively new scientific programming language that is free, open source, and fast. Besides the huge appeal of a performant high level scripting language, Julia intrigued me because the language actually has a reasonable type system and seems to be well-designed (unlik... | CommonCrawl |
2. How to calculate this Feynman diagram?
I have looked on the internet and at quite a few references, and could not figure it out. Any help is appreciated.
It is interesting to view your question above not only in light of the Goldstone-Wilczek (G-W) approach (G-W has provided a method for computing the fermion charge... | CommonCrawl |
In the lectures I will formulate a conjecture asserting that there is a hidden action of certain motivic cohomology groups on the cohomology of arithmetic groups. One can construct this action, tensored with $\mathbb C$, using differential forms. Also one can construct it, tensored with $\mathbb Q_p$, by using a derive... | CommonCrawl |
A fun way to teach first year students the different methods of proof is to play a game with chocolate bars, Chomp.
The players take turns to choose one chocolate block and "eat it", together with all other blocks that are below it and to its right. There is a catch: the top left block contains poison, so the first pla... | CommonCrawl |
A convex polygon, or prototile, in the regular decomposition, or tiling, of the plane by equal polygons, i.e. in a decomposition for which there is a group of motions of the plane mapping the decomposition into itself and acting transitively on the set of tiles. In the Euclidean plane there are 11 combinatorial types o... | CommonCrawl |
Sankara-Ramakrishnan, R and Vishveshwara, Saraswathi (1989) A hydrogen bonded chain in bactereorhodopsin by computer modeling approach. In: Journal of Biomolecular Structure & Dynamics, 7 (1). pp. 187-205.
The 7 $\alpha$-helical segments of bacteriorhodopsin (BR) passing through the membrane are investigated for a con... | CommonCrawl |
Abstract: In recent work, globally well-defined Type IIB supergravity solutions with geometry $AdS_6 \times S^2$ warped over a Riemann surface $\Sigma$ were constructed and conjectured to describe the near-horizon geometry of $(p,q)$ five-brane webs in the conformal limit. In the present paper, we offer more evidence f... | CommonCrawl |
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