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Abstract: We combine Homotopy Type Theory with axiomatic cohesion, expressing the latter internally with a version of "adjoint logic" in which the discretization and codiscretization modalities are characterized using a judgmental formalism of "crisp variables". This yields type theories that we call "spatial" and "coh... | CommonCrawl |
Professor Halfbrain has spent his entire weekend by cutting lots of wooden $50\times50$ checkerboards into lots of polyominoes. He looked at various pattern polyominoes with area $49$, and always tried to cut as many copies of the pattern as possible out of some wooden $50\times50$ checkerboard. The pattern polyomino c... | CommonCrawl |
Thin airfoil theory gives $C = C_o + 2\pi\alpha$, where $C_o$ is the lift coefficient at $\alpha = 0$. However, I couldn't find any equation to calculate what $C_o$ is which must be some function of the airfoil shape. In other words how do you extend thin airfoil theory to cambered airfoils without having to use experi... | CommonCrawl |
Abstract : This paper deals with sparse feature selection and grouping for classification and regression. The classification or regression problems under consideration consists in minimizing a convex empirical risk function subject to an $\ell^1$ constraint, a pairwise $\ell^\infty$ constraint, or a pairwise $\ell^1$ c... | CommonCrawl |
We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and... | CommonCrawl |
tea.mathoverflow.net - Why has this answer been deleted?
Community: Why has this answer been deleted?
and a set of generators can be obtained by taking minimal such monomials (i.e. not divisible by smaller such monomials). And relations between these generators are of the form (monomial in $w_i$) = (another monomial in... | CommonCrawl |
The Levenberg-Marquardt method is used to do a curve fitting to measured data. It minimizes the expression $$ S(\beta) = \sum_i^n ( y_i - f (x_i, \beta) )^2 $$ The measured data is collected in the $y_i$ and is measured at the points $x_i$. The function $f$ depends on the parameters $\beta$, which are varied to minimiz... | CommonCrawl |
Dehghan Niri, T., Hosseini, M., Heydari, M. (2019). An efficient improvement of the Newton method for solving nonconvex optimization problems. Computational Methods for Differential Equations, 7(1), 69-85.
Tayebeh Dehghan Niri; Mohammad Mehdi Hosseini; Mohammad Heydari. "An efficient improvement of the Newton method fo... | CommonCrawl |
where $\alpha_k$ is the log hazard ratio for the $k$th cause for a one-unit increase in the biomarker, at time $t$. Each competing event can be modelled however we like, with different baseline hazard functions, and with different covariate effects. Of course, we can also have different or additional association struct... | CommonCrawl |
Let $ABCD$ be a general quadrilateral.
$\alpha$ and $\gamma$ are opposite angles.
Let the area of $\triangle DAB$ and $\triangle BCD$ be $\mathcal A_1$ and $\mathcal A_2$.
Brahmagupta's Formula is a specific version of Bretschneider's Formula for a cyclic quadrilateral.
This entry was named for Carl Anton Bretschneider... | CommonCrawl |
A seating order of the people inside the church has been given before Mirko enters. Mirko is, of course, late for the morning Mass and will sit in an empty space so that he shakes hands with as many people as he can. If there are no empty seats left, Mirko will simply give up on the idea and go to the evening Mass inst... | CommonCrawl |
Adámek, Jiří and Rosický, Jiří, Locally presentable and accessible categories.
Artin, M. and Mazur, B., Etale homotopy.
Atiyah, M. F., Characters and cohomology of finite groups.
Atiyah, M. F. and Segal, G. B., Equivariant $K$-theory and completion.
Bénabou, Jean, Introduction to bicategories.
Baez, John C. and Shulman... | CommonCrawl |
If $\Phi,\Psi:\mathbb R^n \to\mathbb R^n $ are diffeomorphisms, and $f:\mathbb R\to[0,1]$ is smooth and surjective, is the map $x\mapsto f(\|x\|)\Phi(x)+(1-f(\|x\|))\Psi(x)$ a diffeomorphism?
I promptly posted a counterexample. Within a few minutes, the OP and I engaged in what I have come to identify as a cat and mous... | CommonCrawl |
This paper proves an optimal strategy for Ebert's hat game with three players and more than two hat colors. In general, for $n$ players and $k$ hat colours, we construct a strategy that is asymptotically optimal as $k\rightarrow \infty$. Computer calculation for particular values of $n$ and $k$ suggests that, as long a... | CommonCrawl |
Abstract: The object of the study is the class of holomorphic functions in a multidimensional toric space. We distinguish the subclass of the functions equivalent to entire functions in the following sense: $g$ belongs to the subclass whenever there exists a monomial holomorphic mapping $\mathscr F$ such that $f=g\circ... | CommonCrawl |
f(z)=z^7 + 6z^3 + 7.
f(z) is analytic at all points except z = $\infty$. Therefore, it is analytic within and upon the complementary of first quadrant.
Thus, the angle change is $4\pi$, and the number of zero in the first quadrant is 2.
Please see the new attached scanned picture. For yi on Ri to 0, as long as y is pos... | CommonCrawl |
The property of two sets $A$ and $B$ in a topological space $X$ requiring the existence of a continuous real-valued function $f$ on $X$ such that the closures of the sets $f(A)$ and $f(B)$ (relative to the usual topology on the real line $\mathbf R$) do not intersect. For example, a space is completely regular if every... | CommonCrawl |
Why don't I get the same value of percentage ionic character of a particular molecule from different equations?
Where $x_a$ and $x_b$ stands for the electronegativity of $a$ and $b$ atom in bond $a-b$.
Now if I put $x_a-x_b = 2,$ The 1st, 2nd & 3rd equations respectively give the value as -.648%, 47.5% & 46%. What is t... | CommonCrawl |
What has one side and no edges? This isn't an impossible riddle but has an answer viz. the Klein Bottle.
Have you ever taken any two numbers, added the second to the first; written this down, added the result to the second number, written the result own, and so on?
Soon after writing my previous letter to you, I notice... | CommonCrawl |
Title: Simplicially graded algebraic topology.
Abstract: In algebraic topology there are many examples of local to global theorems where a global consequence is drawn from imposing strong local conditions. When working with simplicial complexes it is often possible to fragment a global geometric obstruction into a loca... | CommonCrawl |
Notation: why are categories enriched over $\mathcal V$?
In most references about enriched categories, $(\mathcal V, \otimes)$ is supposed to be a monoidal category and then $\mathcal V$-enriched categories are defined.
Why is the letter $\mathcal V$ used for a monoidal category?
Browse other questions tagged category-... | CommonCrawl |
$q$-Discrete Painlevé equations for recurrence coefficients of modified $q$-Freud orthogonal polynomials - Mathematics > Classical Analysis and ODEs - Download this document for free, or read online. Document in PDF available to download.
Abstract: We present an asymmetric $q$-Painlev\-e equation. We will derive this u... | CommonCrawl |
Thus $(132)$ is an even permutation because it is a product of even number of transpositions which is $2$.
So how can a permutation be both odd and even ??
Another question is if a permutation which is a cycle has length odd then it is an even permutation. How can I say wheher a permutation is odd/even using the defini... | CommonCrawl |
For questions on random walks, a mathematical formalization of a path that consists of a succession of random steps.
Does the "prime ant" ever backtrack?
Brownian Motion in Confined space, any results?
Is there a connection between the 3D random walk constant and the partition function?
Potential uses for viewing discr... | CommonCrawl |
What is the formula for calculating annual interest expense (IntExp) which is used in the equations above?
Select one of the following answers. Note that D is the value of debt which is constant through time, and ##r_D## is the cost of debt.
A manufacturing company is considering a new project in the more risky service... | CommonCrawl |
Note that my question is that how is it possible that I get $t = \infty$. It does not make sense for me (physically speaking). Where did I get wrong?
Please if there is information you require let me know.
How are you getting PasteBoard to work (1st image)? It is not working for me!
Why didn't you get PasteBoard to wor... | CommonCrawl |
You are given an undirected graph $G$ with $n$ nodes and $m$ edges. The set of vertices is $V$ and the set of edges is $E$.
Let the Complement of $G$ be $G'$. The Complement of a graph is a graph with all of the same nodes, but if there's no edge between nodes $a$ and $b$ in $G$, then there is an edge between $a$ and $... | CommonCrawl |
After a wonderful evening in the restaurant the time to go home came. Leha as a true gentlemen suggested Noora to give her a lift. Certainly the girl agreed with pleasure. Suddenly one problem appeared: Leha cannot find his car on a huge parking near the restaurant. So he decided to turn to the watchman for help.
Leha ... | CommonCrawl |
Mancala is a family of board games played around the world, sometimes called sowing games, or count-and-capture games, which describes the game play. One simple variant is a solitaire game called Tchoukaillon which was described by Véronique Gautheron. Tchoukaillon is played on a board with an arbitrary number of bins ... | CommonCrawl |
I just returned from PROMYS last weekend, and in this post, I hope to summarize the math that I learned there, describe the program itself, and offer a few observations and suggestions to anyone who plans to attend the PROMYS program, go to any other math programs, or become a mathematician in general.
If you do plan t... | CommonCrawl |
1226221 Is A Fascinating Number | Math Misery?
Also note that $$111211 \times 112111 = 12467976421 = 111211 \times 112111$$ also works.
What other palindromic semi-primes are there with distinct prime factors and yield a palindromic factorization like that of \(1226221\) and \(12467976421\)?
It's doubtful that there is... | CommonCrawl |
where $P^\bullet $ is bounded above and consists of projective objects, and $\alpha $ is a quasi-isomorphism. Any two morphisms $\beta _1, \beta _2$ making the diagram commute up to homotopy are homotopic.
In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by ... | CommonCrawl |
What sets AdS radius of the Vasiliev dual to the O(N) vector model?
4D N=4 Super Yang Mills in the planar limit has an infinite dimensional symmetry known as Yangian symmetry. Dualities respect symmetries, so what does this symmetry correspond to in the $AdS_5\times S^5$ string theory dual? If I remember correctly, in ... | CommonCrawl |
In the first half, we will review Chabauty's and Skolem's methods. We will then explain how these can be generalized to the non-abelian Chabauty's method of Minhyong Kim. If time allows, I will also mention polylogarithms.
I will discuss recent joint work, with Cristian Gavrus and Daniel Tataru, in which we consider wa... | CommonCrawl |
We prove nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as $x\to\infty$. We find that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest... | CommonCrawl |
Where each vector $\mathbf B_i$ is an unravelled version of one basis function from a truncated 3D discrete cosine transform and $m_x, m_y, m_z$ are the order of transform in the $x-, y-, z-$ directions, respectively.
Browse other questions tagged dct or ask your own question.
Difference between compressive sensing and... | CommonCrawl |
In this paper we investigate stability and inter-action measures for interconnected systems that have beenproduced by decomposing a large-scale linear system into aset of lower order subsystems connected in feedback. We beginby analyzing the requirements for asymptotic stability throughgeneralized dissipation inequalit... | CommonCrawl |
Abstract: Side-channel attacks have proven many hardware implementations of cryptographic algorithms to be vulnerable. A recently proposed masking method, based on secret sharing and multi-party computation methods, introduces a set of sufficient requirements for implementations to be provably resistant against first-o... | CommonCrawl |
We work in the Church-style simply typed lambda calculus. All terms shall be considered in long normal form. Any term of type $A_1\rightarrow A_2\ldots\rightarrow A_n \rightarrow 0$ is of the form $\lambda y_1 y_2 \ldots y_n . y_i u_1 u_2 \ldots u_m$. In this case, we shall say that $i$ is the index of this term.
My qu... | CommonCrawl |
We use the theory of sutured TQFT to classify contact elements in the sutured Floer homology, with Z coefficients, of certain sutured manifolds of the form $(\Sigma \times S^1, F \times S^1)$ where $\Sigma$ is an annulus or punctured torus. Using this classification, we give a new proof that the contact invariant in su... | CommonCrawl |
In the era of computation and data-driven research, traditional methods of disseminating research are no longer fit-for-purpose. New approaches for disseminating data, methods and results are required to maximize knowledge discovery. The "long tail" of small, unstructured datasets is well catered for by a number of gen... | CommonCrawl |
Abstract. We consider the kinetic Ising models (Glauber dynamics) corresponding to the infinite volume Ising model in dimension 2 with nearest neighbor ferromagnetic interactionand under a positive external magnetic field $h$. Minimalconditions on the flip rates are assumed, so that all the common choices are being con... | CommonCrawl |
In the previous article on cointegration in R we simulated two non-stationary time series that formed a cointegrated pair under a specific linear combination. We made use of the statistical Augmented Dickey-Fuller, Phillips-Perron and Phillips-Ouliaris tests for the presence of unit roots and cointegration.
A problem w... | CommonCrawl |
Adv. Appl. Math. Mech., 11 (2019), pp. i-iii.
Adv. Appl. Math. Mech., 11 (2019), pp. 559-570.
The secondary instability was investigated in high-speed boundary layers over flat plates by numerical methodology. The numerical simulation suggests that the main streaky structures in 2D hypersonic boundary transition proces... | CommonCrawl |
Where a ≠ 0, b, c are given real numbers.
Since every function has its own special graph, so does quadratic one. Graph of every quadratic equation is a parabola. Parabola is a set of points in a plane that are all equally distant from the given line called directrix and given point focus that is not on that line.
Many ... | CommonCrawl |
There are $n$ concert tickets available, each with a certain price. Then, $m$ customers arrive, one after another.
Each customer announces a maximum price they can pay for a ticket, and after this, they will get a ticket whose price is the nearest possible price which does not exceed the maximum price.
The first input ... | CommonCrawl |
How many digits can you create with only one seven segment display?
Remove the square in the top-left corner of a $2015 \times2015$ chessboard. Can the remaining mutilated chessboard be tiled with $1\times4$ and $4\times1$ rectangles?
Is it possible to arrange the integers $1,2,3,\ldots,169$ in a $13\times13$ square, s... | CommonCrawl |
One of the Fundamental Theorems in Functional Analysis is the Open Mapping Theorem.
Theorem. Let $X,Y$ be Banach spaces and $T \in L(X,Y)$. Then $T$ is surjective if and only if it is open.
I'd love to see some motivation on this theorem (not a proof!). Why should it be true? How was it discovered?
Perhaps the problem ... | CommonCrawl |
The puzzle below, known as The Problem of Points, is often said to have inspired probability theory.
Fermat and Pascal play a game by repeatedly flipping coins - if a coin lands heads, Fermat gains a point, and if it lands tails, Pascal gains a point. It is agreed that first to $10$ points wins a prize of $100$ francs.... | CommonCrawl |
$(1)$ If at least one of $M',M''$ is contained in $D$, then $M$ is contained in $\mathcal D$.
$(2)$ If $M$ is contained in $\mathcal D$, then at least one of $M', M''$ is contained in $\mathcal D$.
I wonder if such a subcategory $\mathcal D$ has a name in the literature of abelian categories?
Browse other questions tag... | CommonCrawl |
Abstract : Curvilinear structure restoration in image processing procedures is a difficult task, which can be compounded when these structures are thin, i.e. when their smallest dimension is close to the resolution of the sensor. Many recent restoration methods involve considering a local gradient-based regularization ... | CommonCrawl |
There are $n$ sticks with some lengths. Your task is to modify the sticks so that each stick has the same length.
You can either lengthen and shorten each stick. Both operations cost $x$ where $x$ is the difference between the new and original length.
What is the minimum total cost?
The first input line contains an int... | CommonCrawl |
Aha! It is floating-point arithmetic that has bitten our feet. As you likely know, naively checking whether floating-point numbers are equal, i.e., comparing them as a == b, is a very bad idea because such numbers are stored with finite precision. Also, arithmetic operations involving floating-point numbers are carried... | CommonCrawl |
Efficient inference of deep learning models are challenging and of great value in both academic and industrial community. In this paper, we focus on exploiting the sparsity in input data to improve the performance of deep learning models. We propose an end-to-end optimization pipeline to generate programs for the infer... | CommonCrawl |
Our goal is compression of massive-scale grid-structured data, such as the multi-terabyte output of a high-fidelity computational simulation. For such data sets, we have developed a new software package called TuckerMPI, a parallel C++/MPI software package for compressing distributed data. The approach is based on trea... | CommonCrawl |
But I do not understand how we can multiply a signal $x(t)$ with the delta function $\delta(t)$, as the $\delta(t)$ is infinite at $x=0$. So this multiplication would amount to multiply a real-valued function with $\infty$ which is obviously not what is meant here. I think.
So would it make the formula formally correct... | CommonCrawl |
An improved understanding of how vortices develop and propagate under pulsatile flow can shed important light on the mixing and transport processes including the transition to turbulent regime occurring in such systems. For example, the characterization of pulsatile flows in obstructed artery models serves to encourage... | CommonCrawl |
In a seminal paper of Cordero-Erasquin-McCann-Schmuckenschläger, the authors extends using optimal transport techniques classical functional and geometrical interpolation inequalities from the Euclidean to the Riemannian setting. In particular these results imply a "geodesic" version of the celebrated Brunn-Minkovski i... | CommonCrawl |
Disclaimer: I know relatively little about this application. Corrections welcome.
In this post we see how SymPy can simplify common numeric calculations, particularly in Bayesian inference problems.
Imagine you are a scientist studying some counting process (like radioactive decay or the number of page requests on a we... | CommonCrawl |
A hash table is a data structure that maps keys to values. A hashing function is used to compute keys that are inserted into a table from which values can later be retrieved. As the name suggests, a distributed hash table (DHT) is a hash table that is distributed across many linked nodes, which cooperate to form a sing... | CommonCrawl |
Mathematician, R user and beginner in Machine Learning.
5 Does there exist a matrix $A\neq I$ such that $A^n=1$ for any $n$?
5 How to calculate probability and expected value?
5 If a random variable is uniformly bounded, i.e., $|X_j| \leq C$ for all $j = 1,2,\ldots$, does the fourth moment exist? | CommonCrawl |
In this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a $1$-Poincar\'e inequality. We show that at almost every point $x$ outside the Cantor and jump parts of a BV function, the asymptotic limit of the function is a Lipschitz contin... | CommonCrawl |
Abstract: In this paper I sketch two new variations of the method of decomposition of unipotents in the microweight representations $(\mathrm E_6,\varpi_1)$ and $(\mathrm E_7,\varpi_7)$. To put them in context, I first very briefly recall the two previous stages of the method, an $\mathrm A_5$-proof for $\mathrm E_6$ a... | CommonCrawl |
Proceedings of the 2017 Conference on Learning Theory, PMLR 65:1476-1515, 2017.
A number of statistical estimation problems can be addressed by semidefinite programs (SDP). While SDPs are solvable in polynomial time using interior point methods, in practice generic SDP solvers do not scale well to high-dimensional prob... | CommonCrawl |
What is the name of a coinductive type defined with a total order relation?
In type theory, is there a name for a coinductive type simply defined with a successor operator and an equivalence relation?
And what would be the name of such a type if it were defined with a total order relation as well?
Also, as far as the s... | CommonCrawl |
Edward Farhi's paper on the Quantum Approximate Optimization Algorithm introduces a way for gate model quantum computers to solve combinatorial optimization algorithms. However, D-Wave style quantum annealers have focused on combinatorial optimization algorithms for some time now. What is gained by using QAOA on a gate... | CommonCrawl |
You want to place a rectangular building in the forest so that no trees must be cut down. For each building size, your task is to calculate the number of ways you can do this.
Print $n$ lines that each contain $m$ integers.
Explanation: For example, there are $5$ possible places for a building of size $2 \times 4$. | CommonCrawl |
Reconfigurable processors with fine-grained runtime-reconfigurable fabrics are used to speed up applications from different domains. Such a reconfigurable fabric allows loading of application-specific accelerators, where multiple accelerators can be combined using a coarse-grained runtime-reconfigurable $\mu $ Program ... | CommonCrawl |
Here's a variation of Discrete Peaceful Encampments: Player 3 has entered the game! (which itself is a variation of Peaceful Encampments).
You have 3 white queens, 3 black queens, 3 red queens, and 3 green queens. Place all these pieces onto a normal 8x8 chessboard in such a way that no queen threatens a queen of a dif... | CommonCrawl |
An experimental investigation on the near-field electromagnetic loss of thin copper layers has been presented using microfabricated microwave transceivers for applications to multi-chip microsystems. Copper layers in the thickness range of 0.2$\mu$m∼200$\mu$m have been electroplated on the Pyrex glass substrates. Micro... | CommonCrawl |
Just a quick question to help me see if my reasoning is right. The speed of light is constant from all frames of reference. So does this mean that an observer travelling at the speed and taking into consider time dilation. Does this mean that observer observes the passage of time of every other observer to be the same ... | CommonCrawl |
Abstract: YSb crystals are grown and the transport properties under magnetic field are measured. The resistivity exhibits metallic behavior under zero magnetic field and the low temperature resistivity shows a clear upturn once a moderate magnetic field is applied. The upturn is greatly enhanced by increasing magnetic ... | CommonCrawl |
In this tutorial, the basic steps of working with DynamO are introduced by performing a simulation of a hard sphere fluid.
If you do not see the above output, please double check that you encountered no errors while installing/building DynamO. If you have problems and you have built DynamO yourself, you can return to t... | CommonCrawl |
Think or swim has this thing where they have do a implied volatility of a stock. I have chatted with the TOS people but they aren't terribly helpful. Regardless they did send me two images of what they consider to the be formula. I'm not exactly sure if this is a good formula or something they just made up for me to go... | CommonCrawl |
As mentioned in the previous [blog], we introduced the big data framework into teaching in 2014, and we specifically chose to use Apache Spark in 2015. Besides calculating the basic statistic, we also asked the students to do something more skillful -- matrix multiplications. The detailed assignment description can be ... | CommonCrawl |
Abstract: In the work we consider a topological module $\mathcal P$ of entire functions, which is the isomorphic image under the Fourier–Laplace transform of Schwarz space $\mathcal E'$ of distributions compactly supported in a finite or infinite interval $(a;b)\subset\mathbb R$. We study some properties of closed subm... | CommonCrawl |
Abstract: The study of continuous phase transitions triggered by spontaneous symmetry breaking has brought revolutionary ideas to physics. Recently, through the discovery of symmetry protected topological phases, it is realized that continuous quantum phase transition can also occur between states with the same symmetr... | CommonCrawl |
How can I construct a map $M_2(\mathbb Q)^3 \to M_2(\mathbb Q), (A,B,C) \mapsto (AB-BA)C$ where $M_2(\mathbb Q)$ denotes the space of 2x2 matrices.
This means that f is a symbolic function, whose arguments are symbolic variables. Without further assumptions, Sage will treat the value of f as an expression involving mem... | CommonCrawl |
I know that the maximal analytic continuation of a holomorphic function is an example of Riemann surfaces but don't know what it is used for.
What can we do with this surface?
Why is this function on the Riemann surface holomorphic?
Riemann surfaces in real analysis?
Are concrete Riemann surfaces Riemann domains over $... | CommonCrawl |
After 23, it appears that all possible numbers can be expressed as a combination of 4's and 9's.
As you can see, my method doesn't allow me to know that 23 is the maximum. It only suggests 23 as an answer.
Is there a better more decisive method to solve this problem?
GCD(4,9) = 1 which means that there exist $x,y \in \... | CommonCrawl |
Last weekend I implemented a logistic classifier for use in a side-project I've been working on for the last few months (stay tuned on that). For anyone reading along (probably no one), you may recall I was quite enamoured with the beauty with which C# allowed the mathematics to be expressed in code.
Unnecessary heap a... | CommonCrawl |
Abstract: A $k$-star $S_k(v)$ in a plane graph $G$ consists of a central vertex $v$ and $k$ its neighbor vertices. The height $h(S_k(v))$ and weight $w(S_k(v))$ of $S_k(v)$ is the maximum degree and degree-sum of its vertices, respectively. The height $h_k(G)$ and weight $w_k(G)$ of $G$ is the maximum height and weight... | CommonCrawl |
Need help with this proof using Ferrers' graph or otherwise.
(i) Take the diagram of an arbitrary partition of $r+k$ into $k$ parts, then add $0$ to the smallest part, add $1$ to the second smallest part, add $2$ to the third, $\ldots$ add $(k-1)$ to the largest part and what have you got?
(ii) Take the diagram of an a... | CommonCrawl |
Abstract This paper addresses the multi-item capacitated lot sizing problem. We consider a family of $N$ items which are produced in or obtained from the same production facility. Demands are deterministic for each item and each period within a given horizon of $T$ periods.
First, we consider the case that a single set... | CommonCrawl |
This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves at finite speed. Among the topics carefully presented in the book are nonlinear geometric optics, the as... | CommonCrawl |
This module implements a several algorithms allowing to extract phenological information from time profiles. These time profiles should represent vegetation status as for instance NDVI, LAI, etc.
where $A+B$ is the maximum value and $B$ is the minimum.
By definition, this is $x_0$.
We define $t_1$ as the date for which... | CommonCrawl |
Abstract: We detect topological semigroups that are topological paragroups, i.e., are isomorphic to a Rees product of a topological group over topological spaces with a continuous sandwich function. We prove that a simple topological semigroup $S$ is a topological paragroup if one of the following conditions is satisfi... | CommonCrawl |
In the country of Dalgonia, there is only one type of fake coins and only one type of genuine coins.
All genuine coins have the same weight.
All fake coins have the same weight.
(but it is not known which of these two weights is larger).
Furthermore, the genuine coins have the following outrageous property: whenever so... | CommonCrawl |
Suppose that we are given a certain degree sequence. Is it then possible to construct a graph that has this degree sequence? In general, the answer is no. Such degree sequences that we can construct graphs for are defined below.
Definition: The sequence $(d_1, d_2, d_3, ..., d_n)$ is said to Realizable or Graphic if an... | CommonCrawl |
When defining your model interfaces, it is wise to stick to certain conventions that ensure that your model can be easily used by other people, and coupled with other models, possibly in other simulation tools than the one you use. Such conventions include what variable types and units to use, especially for input and ... | CommonCrawl |
Is there an extension field of degree infinite has no intermediate field?
Studying a prime field, Prime fields has no proper subfields.
At this point, i have some question.
Suppose that $F$ is a field and $E$ is an extension of $F$. Suppose further that there is no intermediate field between $F$ and $E$.
1) Both $F$ an... | CommonCrawl |
We prove that an $\omega$-categorical core structure primitively positively interprets all finite structures with parameters if and only if some stabilizer of its polymorphism clone has a homomorphism to the clone of projections, and that this happens if and only if its polymorphism clone does not contain operations $\... | CommonCrawl |
I've tried to see this "intuitively" but I'm not able to see this as clear as my professor sees it. I'd appreciate any help with this.
For an intuitive understanding just think of the complex plane.
For $a,b\in\mathbb R$, we have $|a+bi|^2 = a^2 + b^2 \ge b^2$, so $|a+bi| \ge |b|$.
I feel this is written a little clear... | CommonCrawl |
Let $\mathcal B_c$ denote the real-valued functions continuous on the extended real line and vanishing at $-\infty $. Let $\mathcal B_r$ denote the functions that are left continuous, have a right limit at each point and vanish at $-\infty $. Define $\mathcal A^n_c$ to be the space of tempered distributions that are th... | CommonCrawl |
What is the next term in the sequence 20,5,3,6,7,12, ... ?
I think they are asked daily. They are generally closed, but can't we do anything to reduce the number of questions asked in this manner? Furthermore, I think it would be good to point out that the question can be asked on Puzzling. SE.
Adding a note to the seq... | CommonCrawl |
I love watches, and I had an idea for a weird kind of watch movement (all of the stuff that moves the hands). It is made up of a a central wheel, with one of the hands connected to it (in this case, it will be the hour hand). This hand goes through a pivot, and then displays the time. I attached a video of a 3d mock up... | CommonCrawl |
SoLid is a short baseline neutrino oscillation experiment, which is searching for sterile neutrinos at the SCK$\cdot$CEN BR2 reactor in Belgium. It uses a novel technology, combining PVT cubes of 5$\times$5$\times$5 cm$^3$ and $^6$LiF:ZnS sheets of $\sim$ 250 $\mu$m thickness. To detect anti-neutrino interactions, sign... | CommonCrawl |
Jiang, J.Q. and Lloyd, B. (2002) Progress in the development and use of ferrate(VI) salt as an oxidant and coagulant for water and wastewater treatment. Water Research 36(6), 1397-1408.
This paper reviews the progress in preparing and using ferrate(VI) salt as an oxidant and coagulant for water and wastewater treatment... | CommonCrawl |
Abstract. We prove the existence of absolutely continuous spectrum for a class of discrete Schr\"odinger operators on tree like graphs. We consider potentials whose radial behaviour is subject only to an $\ell^\infty$ bound. In the transverse direction the potential must satisfy a condition such as periodicity. The gra... | CommonCrawl |
The elliptic-surfaces tag has no usage guidance.
Are there three ordinary elliptic curves $E$, $E_1$, $E_2$ such that $E^2 \cong E_1 \!\times\! E_2$?
Is a supersingular Kummer surface $k$-unirational in characteristic 2?
What is the Artin invariant of an elliptic supersingular K3 surface?
Can a toric surface be an elli... | CommonCrawl |
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