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Exam 2 will be in class on Thursday, 9 Nov. See Class 20 notes for details on the exam.
Today we review the topics that we learned after Exam 1 with the exception of number theory (which will not be included in Exam 2).
State Machines and how to argue about correctness of programs.
Recursive Definitions and how to prov... | CommonCrawl |
Very good solutions came in from Christopher Kassam, age 13, Epsom; from Ian Green of Cooper's Coborn School; Lizzie and Sheli, Ruoyi Sun, Sarah Rogers, Arti Patel from the NLCS Puzzle Club; Alex Lam from St Peter's College, Adelaide; Beth Carroll, Sheila Luk, Alicia Maultby and Rachel Walker from the Mount School, Yor... | CommonCrawl |
Purpose: In this tutorial, you will learn how to optimize a general crystal structure. An explicit example is given for hexagonal structures. Here, you will set up and execute a series of calculations for different volumes (at constant $c/a$ ratio) and for different $c/a$ ratios (at constant volume) for Be in the hexag... | CommonCrawl |
We present PROPS, a lightweight transfer learning mechanism for sequential data. PROPS learns probabilistic perturbations around the predictions of one or more arbitrarily complex, pre-trained black box models (such as recurrent neural networks). The technique pins the black-box prediction functions to "source nodes" o... | CommonCrawl |
We covered three main techniques for doing this: local gradient-based search (providing a lower bound on the objective), exact combinatorial optimization (exactly solving the objective), and convex relaxations (providing a provable upper bound on the objective).
The order of the min-max operations is important here. Sp... | CommonCrawl |
The Workshop on Operator Theory, Complex Analysis, and Applications 2018 / WOTCA 2018 aims to bring together researchers working in Operator Theory, Complex Analysis, and their applications, namely in Mathematical Physics, and to create an opportunity to highlight the current state of the art in these fields, present o... | CommonCrawl |
There is a bit string that consists of $n$ bits. Then, there are some changes that invert bits. Your task is to report, after each change, the length of the longest substring whose each bit is the same.
The first input line has a bit string that consists of $n$ bits. The bits are numbered $1,2,\ldots,n$.
The next line ... | CommonCrawl |
In the paper "Cohomology of the complement of an elliptic arrangement", the authors (Levin and Varchenko) consider the complement to an arrangement of (elliptic) hyperplanes in a cartesian power of an elliptic curve and describe its cohomology with coefficients in a non-trivial rank one local system (Actually, their re... | CommonCrawl |
Neural network is no longer an uncommon phrase to the Computer Science society or lets say to the society in general. The main reason that makes it so cool is not just the amount of real-world problems it is solving, but also the kind of problems it is solving. How can they be so varied?
Be it in the field of Cognitive... | CommonCrawl |
The $p$-adic valuation, for a prime number $p$, of the field of rational numbers is an important tool in number theory, and it is therefore an interesting question whether over fields which are complete with respect to a non-archimedean valuation (such as the field $\mathbb Q_p$ of $p$-adic numbers or suitable extensio... | CommonCrawl |
N.Tsilevich, A.Vershik, "On the Fourier transform on the infinite symmetric group"
Zapiski Nauchn. Semin. POMI, 325 (2005), 61-82.
English translation: J. Math. Sci. (N.Y.), 138, No. 3 (2006), 5663-5673.
Abstract. We present a sketch of the Fourier theory on the infinite symmetric group $S_\infty$. As a dual space to $... | CommonCrawl |
What fraction of a star's hydrogen store will be fused over its lifespan?
A main sequence star will fuse some of its hydrogen, but not all. In massive stars ($>1.5M_\odot$) the core is convective but the rest of the atmosphere radiative and hence does not mix much: as it undergoes shell fusion it will produce an onion-... | CommonCrawl |
For simple inequalities such as x < 5, we know all the values less than 5 are in the solution set. But, what if there is a coefficient to the variable such as with this inequality: 2x > 10. This is a one-step inequality problem, and we can solve this type of inequality problem by using the inverse of multiplication or ... | CommonCrawl |
Let $A$ be a $5 \times 5$ matrix with characteristic polynomial $(x-2)^3(x+1)^2$ and minimal polynomial $(x-2)^2(x+1)^2$. What are the possible Jordan forms for $A$.
Now, I know that the Jordan form cannot be a diagonal matrix (as this is only true when the minimal polynomial is a product of 5 distinct linear factors);... | CommonCrawl |
For a few years I got interested in some mathematical puzzles, like Rubik's cube, the knight's tour problem, the peaceful queens problem, and the $(n^2-1)$-puzzle. Only some of those research projects bore fruit, the results of which you can see below. My coauthors in this work include colleague Ingo Wegener and his st... | CommonCrawl |
In the last couple of weeks we learned a lot about the Simplex algorithm. I hope you enjoyed this series so far. Leave some comments if you're interested in some special articles.
I have at least one more article in my mind about this topic. Now let's dive into this short article. In the last article I explained how to... | CommonCrawl |
360 Threat Intelligence Center captured several lure Excel documents written in Arabic in January 9, 2019. A backdoor dropped by macro in the lure documents can communicate with C2 server through DNS tunnel, as well as Google Drive API.
We confirmed that this is a DarkHydrus Group's new attack targeting Middle East reg... | CommonCrawl |
Formally what is a mathematical construction?
More formally (though not too formal, as I am pretty under-educated in mathematical logic) what does it mean when one "constructs" another mathematical object from another within the context of introducing a new theory or new definitions.
For example I've found when one wri... | CommonCrawl |
I've been tutoring for two months now, but I will assure anyone that it's gonna turn out well.
Write a C++ code that recursively computes the nth power of a.
How many distinct solutions (not necessarily real) exist for the equation? $(x-1)(x^2-1)(x^3-1)\ldots(x^10-1)=0$1$.
Recall that if we have two numbers or terms th... | CommonCrawl |
Ph. D. Thesis Title: Characterization of the Gaussian processes equivalent to a Gaussian martingale and their application.
Master's Degree Thesis Title: Some estimates obtained by using order statistics and their distributions.
Lazarova M. and Minkova L. (2017). I-Delaporte process and applications, Mathematics and Com... | CommonCrawl |
In this blog post I'm going to write a little bit about permutations, and some connections with information theory and sorting algorithms, including giving a sketch-proof of the \(n \log n\) lower bound on comparison-based sorting.
A permutation is a re-ordering of a list. For example, (1, 3, 2), (3, 2, 1) and (2, 1, 3... | CommonCrawl |
However, storing notes in plain-text is crucial to me, for all the reasons that can be found on the blog and in the forum. I believe I would perceive and inline-image preview in a Markdown editor rather as a hindrance than as a feature.
The first requirement can be easily fulfilled by using the Markdown preview app Mar... | CommonCrawl |
Derive the natural frequency $f_n$ of the system composed of two homogeneous circular cylinders , each of mass M, and the connecting link AB of mass m . Assume small oscillations . There is no slipping between cylinder and ground.
I got the frequency by the energy method , can we find it by force method ?
If yes , then... | CommonCrawl |
We investigate the magnetic field generation in global solar-like convective dynamos in the framework of mean-field theory. We simulate a solar-type star in a wedge-shaped spherical shell, where the interplay between convection and rotation self-consistently drives large-scale dynamo. To analyze the dynamo mechanism we... | CommonCrawl |
We analyze LEP and SLC data from the 1995 Winter Conferences for signals of new physics. We compare the data with the Standard Model (SM) as well as a number of test hypotheses concerning the nature of new physics: (i) nonstandard Zbb couplings, (ii) nonstandard Zff couplings for the entire third generation, (iii) nons... | CommonCrawl |
Multiplication Map, Is it invariant?
Let $\pi:X\rightarrow Z$ a double cover of an elliptic curve with genus $g\geq 3$. Choose a general rank 2 and degree -1 vector bundle $F$ on $Z$, let $E=\pi^*F$ and fix $x\in X$. The involution $i$ of the cover induces an involution on $H^0(X,E)$. Consider the multiplication $$H^0(... | CommonCrawl |
Mirko buys a lot of candy in the candy shop. He cannot always pay the exact amount so the shopkeeper and he have an agreement. He tells the shopkeeper the smallest bill he has, and she rounds his amount to the nearest number he can pay. For example, if the smallest bill Mirko has is a hundred bill, and he wants to buy ... | CommonCrawl |
The Fair Nut lives in $$$n$$$ story house. $$$a_i$$$ people live on the $$$i$$$-th floor of the house. Every person uses elevator twice a day: to get from the floor where he/she lives to the ground (first) floor and to get from the first floor to the floor where he/she lives, when he/she comes back home in the evening.... | CommonCrawl |
Abstract: Electroweak interactions based on a gauge group $\rm SU(3)_L \times U(1)_X$, coupled to the QCD gauge group $\rm SU(3)_c$, can predict the number of generations to be multiples of three. We first try to unify these models within SU(N) groups, using antisymmetric tensor representations only. After examining wh... | CommonCrawl |
Abstract: We construct lump solutions of the Kadomtsev–Petviashvili-I equation using Grammian determinants in the spirit of the works by Ohta and Yang. We show that the peak locations depend on the real roots of the Wronskian of the orthogonal polynomials for the asymptotic behaviors in some particular cases. We also p... | CommonCrawl |
You are given a directed graph, and your task is to find out if it contains a negative cycle, and also give an example of such a cycle.
The first input line has two integers $n$ and $m$: the number of nodes and edges. The nodes are numbered $1,2,\ldots,n$.
After this, the input has $m$ lines that describe the edges. Ea... | CommonCrawl |
Weighted linear regression is one of those things that one needs from time to time, yet it is not a built-in function of many common packages, including spreadsheet programs. On the other hand, the problem is not sufficiently complicated to make it worth one's while to learn (or relearn!) more sophisticated statistical... | CommonCrawl |
There will be 70 stores in the Orlando area after the increase.
We can use the following guideline to solve this problem. Current number of stores + Increase in the number of stores = Number of stores after the increase So, 50 + 40% $\times$ 50 = Number of stores after the increase 50 + .4 $\times$ 50 = Number of store... | CommonCrawl |
My concern is that if I sample, I might have some sort of convergence or error problem. And I wouldn't know where to look for further research in the issue.
I am not a mathematician, although I wish I were, so please forgive any miscommunication on my part. Thank you for any help.
Browse other questions tagged ca.class... | CommonCrawl |
Find sufficient conditions in which the triangle $ABC$ is located inside the domain traced by the triangle $DEF$.
Let us consider two triangles $ABC$ and $DEF$ in the plane.
My question is: Find sufficient conditions in which the triangle $ABC$ is located inside the domain traced by the triangle $DEF$.
Does the slope o... | CommonCrawl |
Theorem 1: Let $H$ be an inner product space. If $H$ is separable and $E \subset H$ is an orthonormal subset of $H$ then $E$ is countable.
Recall that a space is said to be separable if it contains a countable and dense subset.
Proof: Suppose instead that $E$ is uncountable.
Since $E$ is assumed to be uncountable, so i... | CommonCrawl |
Suppose that $V_1$ and $V_2$ are vector spaces (over $\mathbb C$, say) with the same underlying set $X$. Suppose that the set of permutations of $X$ that are linear automorphisms of $V_1$ is the same as the analogous set for $V_2$. Then are $V_1$ and $V_2$ isomorphic?
EDIT: Stefan Kohl points out that it doesn't matter... | CommonCrawl |
How does sampling rate impact Discrete-Time Kalman Filter state space modeling assumptions?
The Kalman filter will be run with update interval $T_s$ such that $x_k$ represents position at time $t=kT_s$.
Typically, the process noise $w_k$ is modeled as a zero-mean, white stationary random process of variance $\sigma^2_w... | CommonCrawl |
Abstract: We show that pure quadratic gravity with quantum loop corrections yields a viable inflationary scenario. We also show that a large family of models in the Jordan frame, with softly-broken scale invariance, corresponds to the same theory with linear inflaton potential in the Einstein frame. It follows that all... | CommonCrawl |
The probability distribution of a random variable, to be contrasted with the conditional distribution of this random variable under certain additional conditions. Usually the term "a priori distribution" is used in the following way. Let $(\Theta,X)$ be a pair of random variables (random vectors or more general random ... | CommonCrawl |
If two sets $A$ and $B$ have equal power sets, can we conclude that $A=B$?
I feel like they are equal, by intuition and by analyzing particular cases, but I don't know how to write a formal proof of this. Thanks in advance.
Note that for any set $X$ we have $\bigcup \mathcal P(X) = X$ where $\mathcal P(X)$ is a power s... | CommonCrawl |
I have two eigenvectors: $(2, 1, -1)'$ with eigenvalue $1$, and $(0, 1, 1)'$ with eigenvalue $2$. The corresponding determinant is $8$. How can I calculate the $3\times3$ symmetric matrix $A$ and $AP$?
I cannot solve several variables of the matrix.
The determinant is the product of the eigenvalues, hence you can compu... | CommonCrawl |
There are various strict monoidal model categories of spectra (e.g. symmetric spectra) where the honestly commutative monoid objects model the "coherently commutative" ring spectra (which might otherwise be expressed using, say, operads). Is there an analog for spaces? That is, there a monoidal model category, Quillen ... | CommonCrawl |
Abstract: We construct a solvable group $G$ of order 5 648 590 729 620 such that the set of element orders of $G$ coincides with that of the simple group $\mathrm S_4(3)$. This completes the determination of finite simple groups isospectral to solvable groups.
Keywords: finite simple groups, element orders, recognition... | CommonCrawl |
Format: MarkdownItex"There exists a model category structure on a category of dg-coalgebras whose fibrant objects are precisely L-∞ algebras." Isn't there that the operad for L-∞ algebras is the cofibrant replacement of the operad for dg-algebras in a model structure on the category of dg-operads ? Now the algebras ove... | CommonCrawl |
Why does energy have to be emitted in quanta?
I was reading some popular science book and there was this sentence. It says that energy has to be emitted in discrete portions called quanta. Otherwise the whole energy in the universe would be converted into high frequency waves.
I'm not a physicist, so this conclusion se... | CommonCrawl |
Abstract: We analyse the evolution of a mildly inclined circumbinary disc that orbits an eccentric orbit binary by means of smoother particle hydrodynamic (SPH) simulations and linear theory. We show that the alignment process of an initially misaligned circumbinary disc around an eccentric orbit binary is significantl... | CommonCrawl |
Abstract: $\alpha$Check is a light-weight property-based testing tool built on top of $\alpha$Prolog, a logic programming language based on nominal logic. $\alpha$Prolog is particularly suited to the validation of the meta-theory of formal systems, for example correctness of compiler translations involving name-binding... | CommonCrawl |
No. 4: Special Issue on Image Processing Methods in Applied Mechanics.
Reflectance models by pumping up the albedo function.
MGV vol. 8, no. 1, 1999, pp. 3-17.
The paper introduces a method, called the albedo pumping-up, to derive new, physically plausible BRDFs from an existing one or from any symmetric function. This... | CommonCrawl |
Using the latest poll data, it seems clear that Clinton's win is almost certain.
On average she will get between 320 (worst case) to 333 (best case) electoral votes. So if something is going to change, then it is not in the poll data yet.
These are the updated probability obtained running the Python code that computes ... | CommonCrawl |
Bertoin, Jean (2008). Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes. Combinatorics, Probability & Computing, 17(3):329-337.
We show that for $0<\alpha<1$ and $\theta>-\alpha$, the Poisson-Dirichlet distribution with parameter $(\alpha, \theta)$ is the unique re... | CommonCrawl |
Is anti-matter matter going backwards in time?
Some sources describe antimatter as just like normal matter, but "going backwards in time". What does that really mean? Is that a good analogy in general, and can it be made mathematically precise? Physically, how could something move backwards in time?
To the best of my k... | CommonCrawl |
Old Library building at the main campus of the University of Warsaw, 26/28 Krakowskie Przedmiescie str.
I present an update of the PDFs obtaining using the same overall framework as MSTW. In particular I concentrate on the effect of new data sets, particularly from the LHC, but compare the changes in the PDFs resulting... | CommonCrawl |
ს. ფაღავა, Pagava S., Avtandilashvili A., Kakashvili P., Kharashvili G., Robakidze Z., Rusetski V., Togonidze G., Baratashvili D.. Environmental radioactivity investigations in the Georgian subtropical region. . Proceedings of the International Conference held in Vienna, 23-27 April 2001. IAEA, Vienna, 2002. pp. 480-48... | CommonCrawl |
We consider a model for complex networks that was introduced by Krioukov et al. In this model, $N$ points are chosen randomly inside a disk on the hyperbolic plane and any two of them are joined by an edge if they are within a certain hyperbolic distance. The $N$ points are distributed according to a quasi-uniform dist... | CommonCrawl |
Abstract: For a connected pasting scheme $\mathcal G$, under reasonable assumptions on the underlying category, the category of $\mathfrak C$-colored $\mathcal G$-props admits a cofibrantly generated model category structure. In this paper, we show that, if $\mathcal G$ is closed under shrinking internal edges, then th... | CommonCrawl |
where $A_1,\ldots,A_n,B_1,\ldots,B_m$ are formulas. It is read as follows. Under the assumptions $A_1,\ldots,A_n$, at least one of $B_1,\ldots,B_m$ holds. The part of the sequent on the left of the arrow is called the antecedent, and the part on the right the succedent (consequent). The formula $(A_1\&\ldots\&A_n)\sups... | CommonCrawl |
The fact that we can choose an $n\in D$ is just the fact that $D$ is assumed nonempty. This doesn't require choice. As a heuristic, you don't need the axioms of choice to choose a sock from a pair of socks (or one sock from each pair of finitely many pairs of socks), but if I give you an infinite collection of pairs, y... | CommonCrawl |
I have a linear system with input $ x(t) $ and output $ y(t)$ given by $$ y(t) = \int_0^\infty K(t')x(t-t')dt', $$ where $K(t)$ is a known kernel, with some parameters.
My question is: how is this related to the mean or maximum output amplitude $\langle|y(t)|\rangle$ or $\max|y(t)|$? For example, can we say something l... | CommonCrawl |
The 2D Parker's mean-field dynamo equations with a various distributions of the $\alpha$- and $\omega$-effects are considered. We show that smooth profiles of $\alpha$ and $\omega$ can produce dipole configuration of the magnetic field with the realistic magnetic energy spectrum. We emphasize that fluctuating $\alpha$-... | CommonCrawl |
Published September 1999,January 2004,February 2011.
How can we solve equations like $13x+29y=42$ or $2x+4y=13$ with the solutions $x$ and $y$ being integers? Equations with integer solutions are called Diophantine equations after Diophantus who lived about 250 AD but the methods described here go back to Euclid (about... | CommonCrawl |
Citation: JIANG YUN (2010-08-04). The phases of supersymmetric black holes in five dimensions. ScholarBank@NUS Repository.
Abstract: In contrast to four dimensions, in five dimensions black hole solutions can have event horizons with nonspherical topology and violate the uniqueness theorems. The supersymmetric solution... | CommonCrawl |
Volume 7, Number 11 (2002), 1343-1376.
We deal with a free boundary problem in $\mathbb R^2$ modelling propagation of premixed flames. We prove existence, uniqueness and regularity results of the solution near a travelling wave solution. In particular, we prove time analyticity of the free boundary.
Adv. Differential E... | CommonCrawl |
We have already seen many examples of the symbols available in --\alpha, \psi, and so on. There are some other symbols which the amstex and amssymb packages make available. These includes fonts for blackboard bold capital letters ( , , ), caligraphic ( , , ) and Fraktur ( , , ) letters. The commands are \mathbb, \mathc... | CommonCrawl |
In this limit problem, two trigonometric functions are involved. So, the limit of the trigonometric function can be evaluated by using limit rule of trigonometric function.
There is a limit rule in terms of sin function and it can be used in this limit problem to obtain the limit of this trigonometric function.
Let's t... | CommonCrawl |
Algebraic language theory studies the behaviour of finite automata of various kinds (e.g., regular languages of finite words, of infinite words, of trees, or their weighted variants) in a machine independent way by relating them to finite algebraic structures. This has proved extremely fruitful. For example, regular la... | CommonCrawl |
Has anyone got a reference for the following fact?
If $\mathcal X$ is a symmetric monoidal category, then $\_\otimes\_\colon\mathcal X\times\mathcal X \to \mathcal X$ is a strong monoidal functor. Moreover, the associators and unitors in $\mathcal X$ are monoidal natural transformations.
The key point here is the exist... | CommonCrawl |
And calculate n according to Sn.
If you mean $$S_n = (1 + 2 + 3 + \ldots + n) - (3 + 4 + 5 + 6 +7+8+9)$$ the first bracket has a well-known closed form in terms of $n$ and the second is a constant.
because in a toy with infinite sums.
If you're not sure of the formula, google "arithmetic series".
Last edited by Denis; ... | CommonCrawl |
Working methodology: In these problems, two persons initial ages will be given. and before or after several years, their ratio of the ages will be given. Multiply the ratio of their initial age by x or some variable and take them as their initial age. Now if final ratio has been given, equate this ratio with that ratio... | CommonCrawl |
There are $n$ applicants and $m$ free apartments. Your task is to distribute the apartments so that as many applicants as possible will get an apartment.
Each applicant has a desired apartment size, and they will accept any apartment whose size is close enough to the desired size.
The first input line has three integer... | CommonCrawl |
John Dolittler comes home from work and reads his mail. One letter catches his interest. It's a letter from a distant aunt. What's this? The letter says that he will inherit all of her money and all of her beloved animals from all over the world. John really loves animals, and has always wanted to have a little zoo. Th... | CommonCrawl |
Two prevalent models in the data stream literature are the insertion-only and turnstile models. Unfortunately, many important streaming problems require a Theta(\log(n)) multiplicative factor more in their memory usage for turnstile streams than for insertion-only streams. This complexity gap often arises because the u... | CommonCrawl |
The recent detection of the first gravitational wave signal (GW150914) produced by a binary black hole merger represents the dawn of a new age in astronomy. While the detection is significant in and of itself, one of the numerous questions yet to be answered is how such a binary black hole (BBH) system formed in the fi... | CommonCrawl |
The streets of Byte City form a regular, chessboardlike network - they are either north-south or west-east directed. We shall call them NS- and WE-streets. Furthermore, each street crosses the whole city. Every NS-street intersects every WE- one and vice versa. The NS-streets are numbered from $1$ to $n$, starting from... | CommonCrawl |
Abstract: We report complex dielectric and Raman spectroscopy measurements in four samples of $\alpha$- Fe$_2$O$_3$, consisting of crystallites which are either hexagonal shaped plates or cuboids. All four samples exhibit the spin reorientation transition from a pure antiferromagnetic (AFM) to a weak-ferromagnetic (WFM... | CommonCrawl |
Abstract : The aim of this paper is to give a higher dimensional equivalent of the classical modular polynomials $\Phi_\ell(X,Y)$. If $j$ is the $j$-invariant associated to an elliptic curve $E_k$ over a field $k$ then the roots of $\Phi_\ell(j,X)$ correspond to the $j$-invariants of the curves which are $\ell$-isogene... | CommonCrawl |
The cluster analysis of diurnal precipitation patterns is performed by using daily precipitation of 59 stations in South Korea from 1973 to 1996 in four seasons of each year. Four seasons are shifted forward by 15 days compared to the general ones. Number of clusters are 15 in winter, 16 in spring and autumn, and 26 in... | CommonCrawl |
Here lie my notes on the paper titled the above. Essentially this expands on previous works on phaseguides and shows the basic methods for making them and physical properties of them (as well as various applications which can be viewed in the linked video somewhere in the notes below).
Constraints on the design results... | CommonCrawl |
$p$ is true and $q$ is true.
This is called the conjunction of $p$ and $q$.
the members of the conjunction.
Let $p_1, p_2, \ldots, p_n$ be statements.
and is referred to as the conjunction of $P$.
The conjunction is used to symbolise any statement in natural language such that two substatements are held to be true simu... | CommonCrawl |
Department of Mathematics, Faculty of Basic Science, Shahed University, Tehran, Iran.
Let $S$ be a dense subsemigroup of $(0,+\infty)$. In this paper, we state definition of thick near zero, and also we will introduce a definition that is equivalent to the definition of piecewise syndetic near zero which presented by H... | CommonCrawl |
1. arXiv:1412.8520 Understanding and Designing Complex Systems: Response to "A framework for optimal high-level descriptions in science and engineering---preliminary report". James P. Crutchfield, Ryan G. James, Sarah Marzen, Dowman P. Varn. physics.stat-mech (cs.AI cs.CE cs.IT nlin.CD).
2. arXiv:1412.7737 Well-posedne... | CommonCrawl |
The purpose of this paper is to propose a model where trade has a direct and positive impact on growth rate of two trading nations beyond the level effect. We use the idea of virtual trade in intermediates induced by non- overlapping time zones following Marjit (2007) and Kikuchi and Marjit (2011) and show how trade ca... | CommonCrawl |
I'm trying to read (the introduction of) a survey by Toen on Derived Algebraic Geometry, specifically the "Simplicial Presheaves and Derived Algebraic Geometry" one.
He motivates the introduction of DAG as a means to construct moduli spaces. His example is the moduli of linear representations of a group admitting a fin... | CommonCrawl |
We consider semidefinite programs (SDPs) of size $n$ with equality constraints. In order to overcome scalability issues, Burer and Monteiro proposed a factorized approach based on optimizing over a matrix $Y$ of size $n\times k$ such that $X=YY^*$ is the SDP variable. The advantages of such formulation are twofold: the... | CommonCrawl |
Аннотация: We investigate the following problem: When do two generalized real Bott manifolds of height 2 have isomorphic cohomology rings with $\mathbb Z/2$ coefficients and also when are they diffeomorphic? It turns out that in general cohomology rings with $\mathbb Z/2$ coefficients do not distinguish those manifolds... | CommonCrawl |
Abstract: A flexible (2 $\times $ 1) multiple-input, multiple-output (MIMO) antenna with an electromagnetic band gap (EBG) unit cell is designed and measured. The proposed MIMO antenna is based on a circular slotted patch antenna to work at 3.5 GHz. An EBG unit cell is used to reduce the effect of the inherent mutual c... | CommonCrawl |
Questions about algorithms that solve problems up to some bounded error.
What is the source to understand Feedback edge arc set? I tried wikipedia and research papers any easy tutorial?
Delivering to two or more locations in one go while respecting deadlines?
Clarification on NP-hardness and hardness of approximation r... | CommonCrawl |
We design differentially private learning algorithms that are agnostic to the learning model assuming access to limited amount of unlabeled public data. First, we give a new differentially private algorithm for answering a sequence of $m$ online classification queries (given by a sequence of $m$ unlabeled public featur... | CommonCrawl |
The solutions of quadratic equation are called the roots of quadratic equation.
Quadratic equation is a second degree polynomial. So, it should have two solutions and they are called as the roots of a quadratic equation. The roots of quadratic equation are actually obtained by equating the quadratic expression to zero.... | CommonCrawl |
The first class of integral involving the logarithm that I would like to explore is in the following form: ...that is, the integral from $x=0$ to $\infty$ of $\ln(x)$ times the reciprocal of any quadratic function of $x$. I choose to begin the post with this type of integral because it is a type of integral that seems ... | CommonCrawl |
In the following, we present the setting for the numerical experiments.
Numerical grid: $N_x=300$ in space, $N_t=100$ in time.
Figure 1: $\alpha_c=\alpha_s=0$. Figure 2: $\alpha_c=0.01$, $\alpha_s=0$. Figure 3: $\alpha_c=0$, $\alpha_s=0.65$.
Figure 4a: Optimal control for $\alpha_c=\alpha_s=0$. In red, the controllable... | CommonCrawl |
This paper presents the solution for a fractional Bergman's minimal blood glucose-insulin model expressed by Atangana-Baleanu-Caputo fractional order derivative and fractional conformable derivative in Liouville-Caputo sense. Applying homotopy analysis method and Laplace transform with homotopy polynomial we obtain ana... | CommonCrawl |
The following are very familiar and basic items, individually.
(1) The number $a(n)$ of rectangles (parallel to axes) in an $n\times n$ square grid.
(2) The number $b(n)$ of cubes (parallel to axes) in an $n\times n\times n$ cube.
However, I could not find a reference to a direct bijective proof for $a(n)=b(n)$. Can yo... | CommonCrawl |
where $x$ denotes the rank number of a gene, $x_0$ the expression level of the highest abundant gene, and $k$ and $x_1$ are cell type and/or experiment specific parameters. In the simulation, expression ranks are uniformly random assigned to transcripts of the reference, and subsequently their expression level in numbe... | CommonCrawl |
Proceedings of The 28th Conference on Learning Theory, PMLR 40:364-390, 2015.
Motivated by a sampling problem basic to computational statistical inference, we develop a toolset based on spectral sparsification for a family of fundamental problems involving Gaussian sampling, matrix functionals, and reversible Markov ch... | CommonCrawl |
Esmaeelzadeh, F., Kamyabi Gol, R., Raisi Tousi, R. (2014). A Class of compact operators on homogeneous spaces. Sahand Communications in Mathematical Analysis, 01(2), 39-45.
Fatemah Esmaeelzadeh; Rajab Ali Kamyabi Gol; Reihaneh Raisi Tousi. "A Class of compact operators on homogeneous spaces". Sahand Communications in M... | CommonCrawl |
The St. Čapek Crowd Control Academy, June, 2115.
Commander Gall is worried. On one hand, the graduating class this year is the most promising in the institution's history, every cadet's reasoning skills honed to perfection. On the other, General Domin is visiting and has insisted on writing and administering the robost... | CommonCrawl |
Previously, I have created puzzles which used only one of the four mathematical operations ($+$, $-$, $\times$, and $\div$). In this Sudoku I have combined all the four operations together in a single puzzle. I call my new puzzle 'Bochap', which comes from a popular Hokkien word in Singapore.'Bochap' can be interpreted... | CommonCrawl |
Iodine 125 is a commonly used source for permanent implanted interstitial brachytherapy. Iodine 125 is manufactured into resin spheres which are encapsulated within a thin titanium shell.
125I has a half life of 59.4 days, decaying through electron capture to 125Te, a stable isotope. Gamma photons are released followin... | CommonCrawl |
A binary operation on compatible matrices over a ring $R$. There are several such operations.
The multiplication corresponds to composition of linear maps. If $A$ is the matrix of a linear map $\alpha : R^m \rightarrow R^n$ and $B$ is the matrix of a linear map $\beta : R^n \rightarrow R^p$, then $AB$ is the matrix of ... | CommonCrawl |
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