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1. Magnetic properties of ultrathin Ni81Fe19films with Ta and Ru capping layers, J. Phys.: Condens. Matter 25 (2013) 476003 (6pp).
2. Mixed-solvent thermal synthesis and magnetic properties of flower-like microstructured nickel ,Science Direct Particuology 10(2012)392-396.
4. Hydrothermal synthesis of monodisperse $\al... | CommonCrawl |
Here are a few practical tips for training sequence-to-sequence models with attention. If you have experience training other types of deep neural networks, pretty much all of it applies here. This article focuses on a few tips you might not know about, even with experience training other models.
The architecture of a s... | CommonCrawl |
If you know $E(X)$ and $SD(X)$ you can get some idea of how much probability there is in the tails of the distribution of $X$.
In this section we are going to get upper bounds on probabilities such as the gold area in the graph below. That's $P(X \ge 20)$ for the random variable $X$ whose distribution is displayed in t... | CommonCrawl |
Note that you have to be careful when calculating determinants of large matrices; for a 100x100 matrix, it can easily overflow the maximum size of a float (or double). For this reason it's often better to calculate a log-determinant.... Once the matrix starts getting large, it can be easier to use row- or column-reduct... | CommonCrawl |
Abstract: We present a complex frame of eleven vectors in 4-space and prove that it defines injective measurements. That is, any rank-one $4\times 4$ Hermitian matrix is uniquely determined by its values as a Hermitian form on this collection of eleven vectors. This disproves a recent conjecture of Bandeira, Cahill, Mi... | CommonCrawl |
A permutation of integers $1,2,\ldots,n$ is called beautiful if there are no adjacent elements whose difference is $1$.
Given $n$, construct a beautiful permutation if such a permutation exists.
Print a beautiful permutation of integers $1,2,\ldots,n$. If there are several solutions, you may print any of them. If there... | CommonCrawl |
Michael Artin and Barry Mazur's classical comparison theorem tells us that for a pointed connected finite type $\mathbb C$-scheme $X$, there is a map from the singular complex associated to the underlying topological spaces of the analytification of $X$ to the étale homotopy type of $X$, and it induces an isomorphism o... | CommonCrawl |
University of Kalmar, Baltic Business School.
Assessments and evaluations of incubators has been a topic of discussion for as long as incubators have been in existence due to the fact that there has not been an agreement on how to determine good performance. This paper demonstrates the use of Data Envelopment Analysis ... | CommonCrawl |
After constructing a binary search tree, you can read off the key values in ascending order by performing an in-order traversal.
Will the resulting sorted order be stable?
If so, how would the tree have to be coded to ensure this?
If it is not possible, why not?"
Stability ensures that if A and B share the same Key, if... | CommonCrawl |
1 . What will come in place of question mark (?) in the following number series?
2 . What will come in place of question mark (?) in the following number series?
3 . What will come in place of question mark (?) in the following number series?
The series is +$1^ 2$ + 1, +$2^ 2$ + 1, +$3^ 2$ + 1, +$4^ 2$ + 1, +$5^ 2$ + 1... | CommonCrawl |
In this talk we consider multivariate approximation of compact embeddings of periodic Sobolev spaces of dominating mixed smoothness into the $L_q,\ 2< q\leq \infty$ space by linear Monte Carlo methods that use arbitrary linear information. We construct linear Monte Carlo methods and obtain explicit-in-dimension upper e... | CommonCrawl |
Structural and resistive changes in Ti-doped NiO resistive random access memory structures that occur upon electroforming have been investigated using hard X-ray microscopy with a spatial resolution of 50 nm. Analysis of 2D scans of the NiO (111) diffraction intensity across a 10 $\mu $m $\times $ 10 $\mu $m patterned ... | CommonCrawl |
Format: MarkdownI redirected it from [[model structure on an under category]].
I redirected it from model structure on an under category.
Format: MarkdownBy the way: I keep seeing in the literature _overcategory_ instead of _over category_ . For instance in the article by Hirschhorn linked to at [[model structure on an... | CommonCrawl |
To find a product using the distributive property, you take the coefficent--in this case the 2 outside of the parentheses--and multiply it by each term within the parentheses separately. The first term within the parentheses is $6x$, so the first term of the product is $2\times6x$, or $12x$. The second term within the ... | CommonCrawl |
Why doesn't penalized cubic regression reduce the number of knots in a GAM?
As far as I understand, cubic regression penalization prevents overfitting by reducing the number of knots by penalizing wiggliness. The supplied parameter k serves only as a starting points for choosing the knots.
In practice k-1 (or k) sets t... | CommonCrawl |
I have a question from the paper "More Abelian Dualities in 2+1 Dimensions".
On page 3, it says that we flow towards IR by sending $\alpha\rightarrow\infty$ and tuning the mass to zero.
My question is that why this limit takes the theory to IR.
$\alpha \to \infty$ in the IR because the $|\phi|^4$ term has dimension 1. ... | CommonCrawl |
For all our prospective med-school students (and others alike) who are currently enrolled in EPIB 507 here in McGill, you must have wondered about why you took a course such as biostatistics in the first place, and as you have already experienced, our biostats course — as opposed to courses in the regular semesters — h... | CommonCrawl |
In this paper we continue investigations of the Parker-shearing instability performing numerical simulations of the magnetic flux tube dynamics in the thin flux-tube approximation. We show that evolution of flux tubes resulting from numerical simulations is very similar to that of linear solutions if the vertical displ... | CommonCrawl |
The aim of this paper is to characterize global dynamics of locally linearizable complex two dimensional cubic Hamiltonian systems. By finding invariants, we prove that their associated real phase space $\mathbb R^4$ is foliated by two dimensional invariant surfaces, which could be either simple connected, or double co... | CommonCrawl |
You are in a book shop which sells $n$ different books. You know the price, the number of pages and the number of copies of each book.
You have decided that the total price of your purchases will be at most $x$. What is the maximum number of pages you can buy? You can buy several copies of the same book.
The first inpu... | CommonCrawl |
Is correct? Thanks in advance!
Yes, that is a correct definition of the limit of $f$ at $x_0$.
Not the answer you're looking for? Browse other questions tagged general-topology definition or ask your own question.
Are general topology and real analysis school definitions of limit equivalent?
When is an accumulation poi... | CommonCrawl |
This observation, called the n + 1 rule, only applies when all of the neighboring protons are chemically equivalent to each other.
The first statement infers that for the n + 1 rule to be valid, the protons must be chemically equivalent - inferring that equivalent protons can couple, while the second statement directly... | CommonCrawl |
Abstract: In a recent contribution [arXiv:0904:4151] entanglement renormalization was generalized to fermionic lattice systems in two spatial dimensions. Entanglement renormalization is a real-space coarse-graining transformation for lattice systems that produces a variational ansatz, the multi-scale entanglement renor... | CommonCrawl |
I was wondering how to do the following in sage: let's say I have a number field $F$, an embedding $i$ of that field in the complex numbers, and an algebraic integer $\alpha\in F$, for which I know $i(\alpha)$ with good numerical precision. How can I find the exact value?
I finally found the time to think about the mat... | CommonCrawl |
Recently, the high-precision vibration attenuation technology becomes the essence fo the seccessful development of high-integrated and ultra-precision industries, and is expected to continue playing a key role in the enhancement of manufacturing technology. Vibration isolation system using an air-spring is widely emplo... | CommonCrawl |
Lopez, M. Carbo, Chavant P-Y., Molton F., Royal G., & Blandin V. (2017). Chiral Nitroxide/Copper-Catalyzed Aerobic Oxidation of Alcohols: Atroposelective Oxidative Desymmetrization.. ChemistrySelect. 2, 443–450.
Lopez, M. Carbo, Royal G., Philouze C., Chavant P-Y., & Blandin V. (2014). Imidazolidinone Nitroxides as Cat... | CommonCrawl |
This week Pronto CycleShare, Seattle's Bicycle Share system, turned one year old. To celebrate this, Pronto made available a large cache of data from the first year of operation and announced the Pronto Cycle Share's Data Challenge, which offers prizes for different categories of analysis.
There are a lot of tools out ... | CommonCrawl |
Volume 22, Number 1 (1994), 395-405.
This paper extends the study of Wishart and multivariate beta distributions to the singular case, where the rank is below the dimensionality. The usual conjugacy is extended to this case. A volume element on the space of positive semidefinite $m \times m$ matrices of rank $n < m$ is... | CommonCrawl |
What do logicians mean by "type"?
I enjoy reading about formal logic as an occasional hobby. However, one thing keeps tripping me up: I seem unable to understand what's being referred to when the word "type" (as in type theory) is mentioned.
Now, I understand what types are in programming, and sometimes I get the impre... | CommonCrawl |
Today, I'll be reviewing "FaceNet: A Unified Embedding for Face Recognition and Clustering"1, a paper by Schroff et al. from Google, published in CVPR 2015.
Once this embedding has been produced, then … the tasks become straight-forward: face verification simply involves thresholding the distnace between the two embedd... | CommonCrawl |
Abstract : The ESA Rosetta spacecraft, currently orbiting around comet 67P, has already provided in situ measurements of the dust grain properties from several instruments, particularly OSIRIS and GIADA. We propose adding value to those measurements by combining them with ground-based observations of the dust tail to m... | CommonCrawl |
Gomoku or Five in a row is a board game played by two players on a \$15 \times 15\$ grid with black and white stones. Whoever is able to place \$5\$ stones in a row (horizontal, vertical or diagonal) wins the game.
In this KoTH we'll play the Swap2 rule, meaning that a game consists of two phases: In the initial phase ... | CommonCrawl |
Uncertainty Quantification is the field of mathematics that focuses on the propagation and influence of uncertainties on models. Mostly complex numerical models are considered with uncertain parameters or uncertain model properties. Several methods exist to model the uncertain parameters of numerical models. Stochastic... | CommonCrawl |
Your task is to find $k$ shortest flight routes from Syrjälä to Metsälä. A route can visit the same city several times.
The first input line has three integers $n$, $m$, and $k$: the number of cities, the number of flights, and the parameter $k$. The cities are numbered $1,2,\ldots,n$. City 1 is Syrjälä, and city $n$ i... | CommonCrawl |
First, we met on the dance floor at this place playing loud music.
Soon after we were madly in love!
Before I knew it, we were engaged to be married.
Now, here I am in the backyard turning over soil for her garden instead of playing cards with my friends or enjoying the multitudes of brain-bending puzzles on my favorit... | CommonCrawl |
Abstract: A pure multipartite quantum state is called absolutely maximally entangled (AME), if all reductions obtained by tracing out at least half of its parties are maximally mixed. Maximal entanglement is then present across every bipartition. The existence of such states is in many cases unclear. With the help of t... | CommonCrawl |
Approximate computing is an emerging design paradigm that exploits the intrinsic ability of applications to produce acceptable outputs even when their computations are executed approximately. In this paper, we explore approximate computing for a key computation pattern, reduce-and-rank (RnR), which is prevalent in a wi... | CommonCrawl |
What about the possible cardinality for the set of operations with elements numbering as N=2^Q, as studiot may be suggesting?
If all arguments to the operation are rational, the number of possibke outputs of the operation is at most countably infinite. This is because each set of arguments produces a single output and ... | CommonCrawl |
Simulations of long-term lithospheric deformation involve post-failure analysis of high-contrast brittle materials driven by buoyancy and processes at the free surface. Geodynamic phenomena such as subduction and continental rifting take place over millions year time scales, thus require efficient solution methods. We ... | CommonCrawl |
This is a nice introduction to a complicated subject. I am no expert, so my comments pertain only to how understandable the explanation is.
1) Instead of referring to Pieper's MS Thesis for further references in the into paragraph, please give the essential references here.
.... RESPONSE TO COMMENT: We have addressed t... | CommonCrawl |
Search for certificates and/or products by WaterMark licence number, licensee name, product specification, product type, brand name, model name or model identification. Filters enable refined searching by product category, product specification or brand name. From the search results select a specific certificate/produc... | CommonCrawl |
1) First since $QCat$ is a model category it lives in $RelCat$ the category of small relative categories. So apply the hammock localizaiton and get a category enriched in simplicial sets.
2) Fibrantly replace the category in the Bergner model structure on categories enriched in simplicial sets and take the homotopy coh... | CommonCrawl |
I am developing a 2D CFD solver for fluid-particle interaction. To solve Navier-Stokes equations on a grid of size $10000\times 10000$ cells (or >1 million cells), a large linear system $Ax=b$ with $A$ being the $10000\times10000$ sparse coefficient matrix needs to be solved efficiently in each time-step.
What I am loo... | CommonCrawl |
A survey of Banach space properties of most simple classical Sobolev Spaces in $L^p$-norms ($1\le p\le\infty$) defined on (open) subsets of $R^n$ and compact manifolds, especially on tori, is given. While for $1<p<\infty$ the Sobolev spaces in question are isomorphic to corresponding classical spaces $L^p$, the situati... | CommonCrawl |
Let $\mathbb G$ be a free Carnot group (i.e. a connected simply connected nilpotent stratified free Lie group) of step 2. In this paper, we prove that the variational functional generated by ``intrinsic'' Maxwell's equations in $\mathbb G$ is the $\Gamma$-limit of a sequence of classical (i.e. Euclidean) variational fu... | CommonCrawl |
We demonstrate the lattice QCD calculation of the long distance contribution to $\epsilon_K$. Due to the singular, short-distance structure of $epsilon_K$, we must perform a short-distance subtraction and introduce a corresponding subtraction term determined from perturbation theory, which we calculate at Next Leading ... | CommonCrawl |
My previous post is here.
Day 2 of SODA, and the tenth time I've been asked "are you chairing all the sessions" ? No, just that many of my PC colleagues didn't (or couldn't) show up :), so those of us who did are doing more lifting. In reward, we got a nice dinner in the French quarter, and I tasted boudin for the firs... | CommonCrawl |
I will report on recent and ongoing work regarding self-avoiding polygons confined to narrow tubes in the cubic lattice. Two particular problems will be discussed: a classification scheme for "local" and "non-local" knots and their relative frequencies as found with Monte Carlo methods; and a proof of the critical expo... | CommonCrawl |
We consider a clustering problem where we observe feature vectors $X_i \in R^p$, $i = 1, 2, \ldots, n$, from $K$ possible classes. The class labels are unknown and the main interest is to estimate them. We are primarily interested in the modern regime of $p \gg n$, where classical clustering methods face challenges.
We... | CommonCrawl |
This research involves two experimental investigations into the behaviour of prestressed concrete members strengthened using two typical techniques: the first is by application of external post-tensioning using carbon fiber reinforced plastic (CFRP) cables, whereas the second is by bonding composite straps on the tensi... | CommonCrawl |
where $P^\bullet $ is bounded above and consists of projective objects, and $\alpha $ is a quasi-isomorphism.
There exists a map of complexes $\beta $ making the diagram commute up to homotopy.
If $\alpha $ is surjective in every degree then we can find a $\beta $ which makes the diagram commute.
In order to prevent bo... | CommonCrawl |
Definition: A graph $G = (V(G), E(G))$ is considered Hamiltonian if and only if the graph has a cycle containing all of the vertices of the graph.
Definition: A Hamiltonian cycle is a cycle that contains all vertices in a graph $G$. If a graph has a Hamiltonian cycle, then the graph $G$ is said to be Hamiltonian.
For e... | CommonCrawl |
Blood and/or Japanese yen are commonly used as wagers with a conversion rate of 100 ccs of blood equaling 1,000 points.
This gameplay section assumes you know the basic rules of Japanese mahjong.
Chow: Claimed from the player to your left or for mahjong.
Pung: Claimed from any player.
Kong: Claimed from any player. A r... | CommonCrawl |
We investigate dimension-dependence estimates of the approximation error for linear algorithms of sampling recovery on Smolyak grids parametrized by $m$, of periodic $d$-variate functions from the space with Lipschitz-H\"older mixed smoothness $\alpha > 0$. For the subsets of the unit ball in this space of functions wi... | CommonCrawl |
Wound healing is a complex process imitated by the formation of fibrin fibers that are involved in clot formation and fibroblast migration. Normally this process is triggered by thrombin cleavage of the E domain on the fibrinogen molecules, which allows them to spontaneously self-assemble into the fibers. Here we demon... | CommonCrawl |
Location: School of Mathematics, Statistics and Operations Research, Victoria University of Wellington.
Even a casual observer cannot fail to be impressed by the dizzying speed and scope of the development of algebraic number theory for the past hundred years. Yet our search for mathematical truth and beauty always lea... | CommonCrawl |
Abstract: We study the question of whether parallelization in the exploration of the feasible set can be used to speed up convex optimization, in the local oracle model of computation. We show that the answer is negative for both deterministic and randomized algorithms applied to essentially any of the interesting geom... | CommonCrawl |
Abstract: We present an X-ray spectral analysis of 21 low redshift quasars observed with XMM-Newton EPIC. All the sources are Palomar Green quasars with redshifts between 0.05 and 0.4 and have low Galactic absorption along the line-of-sight. A large majority of quasars in the sample (19/21) exhibit a significant soft e... | CommonCrawl |
Calculus of Variations in $L^\infty$ has a long history, the scalar case of which was initiated by G.Aronsson in the 1960s and is under active research ever since. Aronsson's motivation to study this problem was related to the optimisation of Lipschitz Extensions of functions. Mathematically, minimising the supremum is... | CommonCrawl |
Abstract: Bayesian and frequentist criteria are fundamentally different, but often posterior and sampling distributions are asymptotically equivalent (e.g., Gaussian). For the corresponding limit experiment, we characterize the frequentist size of a certain Bayesian hypothesis test of (possibly nonlinear) inequalities.... | CommonCrawl |
Have you tried some simple cases to see if there is a pattern?
If you have a number "$x$" the next number is "$x +1$". How could you write four consecutive numbers?
If you can express $x^4 + \ldots + 16$ as a perfect square, the two factors will be of the form $(x^2 +\ldots + 4)$.
Mathematical reasoning & proof. Creati... | CommonCrawl |
Doroshenko V. M., Kruglov V. P., Kuznetsov S. P.
The principle of constructing a new class of systems demonstrating hyperbolic chaotic attractors is proposed. It is based on using subsystems, the transfer of oscillatory excitation between which is provided resonantly due to the difference in the frequencies of small an... | CommonCrawl |
In Kim Stanley Robinson's new novel Red Moon the first few pages describe a method of Earth-to-Moon transportation that I had not encountered before. The idea is to use a magnetically levitated and accelerated train on the surface of the Moon to catch a spaceship from Earth flying by the Moon at thousands of kilometers... | CommonCrawl |
Imagine you are a reinsurance pricing actuary tasked with pricing (or costing) an excess of loss contract. A typical method would be to determine the expected number of claims excess of some threshold, and then to also chose a severity distribution representing the probability of different sizes of loss above that thre... | CommonCrawl |
The strong coupling constant $\alpha_S$ is the least well known of all constants of nature, which play a role in the Standard Model (SM) of particle physics and related fields such as cosmology and astrophysics. For many searches for new physics beyond the SM as well as for some important precision tests of the SM usin... | CommonCrawl |
The image shows a grid on the surface. How do I calculate the connection points of this grid? I want to create a 3D mesh representation of it in other software (a video game actually).
Display grid lines are almost always the isoparametric lines corresponding to some parameterization. Specifically, if the surface param... | CommonCrawl |
Abstract: We show how to solve a generalised version of the Multi-sequence Linear Feedback Shift-Register (MLFSR) problem using minimisation of free modules over $\mathbb F[x]$. We show how two existing algorithms for minimising such modules run particularly fast on these instances. Furthermore, we show how one of them... | CommonCrawl |
Dave Richeson tweeted about a puzzle from Futility Closet (original source a Russian mathematical olympiad): can you split the integers 1, 2, …, 15 into two groups A and B, with 13 elements in A and 2 elements in B, so that the sum of the elements of A is the product of the elements of B?
Think about it for a moment. T... | CommonCrawl |
If I have a polynomial p in variables $x_0,...,x_n$, how do I specialize the algebra appropriately to substitute values for $x_i$'s? For example, how do I compute $p(1,1,...,1)$? Or replace $x_i$ by $q^i$ ($q$ a parameter) so to compute $p(1,q,...,q^n)$? In Mathematica, if the variables were x[[i]], one could do "./x[[... | CommonCrawl |
Abstract:In the recent progress of the classi fication theorem of C*-algebras, we have seen connections with the regularity properties and associated conditions in the theory of injective von Neumann algebras, which is shown by A. Connes and U. Haagerup. In particular, it is known that the proof with Connes' approach i... | CommonCrawl |
Principal rank characteristic sequence; enhanced principal rank characteristic sequence; minor; rank; symmetric matrix; finite field.
The enhanced principal rank characteristic sequence (epr-sequence) of an $n \times n$ symmetric matrix over a field $\F$ was recently defined as $\ell_1 \ell_2 \cdots \ell_n$, where $\el... | CommonCrawl |
mostly I added in a section on homotopical categories, using some paragraphs from Andre Joyal's message to the CatTheory mailing list.
I removed in the introduction the link to the page "Why (oo,1)-categories" and instead expanded the Idea section a bit.
Format: MarkdownItexLooking back at _[[(infinity,1)-category]]_ I... | CommonCrawl |
I am using MATLAB to do an optimisation. The QP minimisation problem is set up in the standard form shown below. The optimisation is used to calculate the weights (x vector in the equation below) of a portfolio.
Trying to follow an example but have two issues. Firstly say the portfolio has 500 stocks the x vector passe... | CommonCrawl |
A queen can be either black or white, and there can be unequal numbers of each type.
A queen must not be threatened by other queens of the same color.
Queens threaten all squares in the same row, column, or diagonal (as in chess). Also, threats are blocked by other queens.
Would this number change if rule 1 was changed... | CommonCrawl |
It is shown that if a point $x_0$ admits a bounded point derivation on $R^p(X)$, the closure of rational function with poles off $X$ in the $L^p(dA)$ norm, for $p >2$, then there is an approximate derivative at $x_0$. A similar result is proven for higher-order bounded point derivations. This extends a result of Wang w... | CommonCrawl |
Abstract: Symmetry is an important for many academic disciplines. Objects that are symmetric are often seen as possessing an aesthetic quality. In this talk, we will consider the types of symmetry patterns that can be placed on a sphere and mathematically demonstrate the number of these patterns. We will also look at h... | CommonCrawl |
Abstract: Many algorithms that are originally designed without explicitly considering incentive properties are later combined with simple pricing rules and used as mechanisms. The resulting mechanisms are often natural and simple to understand. But how good are these algorithms as mechanisms? Truthful reporting of valu... | CommonCrawl |
Test for $\alpha$ and $α$.
This renders only the first math symbol correctly. What do I miss exactly?
Test for $\alpha$ and $^^^^03b1$.
Not the answer you're looking for? Browse other questions tagged fonts luatex or ask your own question.
How does XeTeX typeset (math) symbols which are input as unicode?
How to specify... | CommonCrawl |
A formal grammar that determines which collations belong to the formal language and which do not.
Often, the collation system is left implicit, and taken simply to match the formal grammar.
Let $\mathcal L$ be a formal language.
The alphabet $\mathcal A$ of $\mathcal L$ is a set of symbols from which collations in $\ma... | CommonCrawl |
Abstract: A two-dimensional hydrogen atom is analyzed in elliptic coordinates. Separation of the variables reduces the problem to the solution of the Ince equation in the complex plane subject to certain boundary conditions. It is shown that in the limits $R\rightarrow 0$ and $R\rightarrow\infty$ ($R$ is a parameter th... | CommonCrawl |
She is particularly intrigued by the current game she is playing. The game starts with a sequence of $N$ positive integers ($2 \leq N \leq 248$), each in the range $1 \ldots 40$. In one move, Bessie can take two adjacent numbers with equal values and replace them a single number of value one greater (e.g., she might re... | CommonCrawl |
We study analytically and numerically the dynamics of the generalized Rosenzweig-Porter model, which is known to possess three distinct phases: ergodic, multifractal and localized phases. Our focus is on the survival probability $R(t)$, the probability of finding the initial state after time $t$. In particular, if the ... | CommonCrawl |
Wajapeyee, Narendra and Raut, Chandrashekhar Ganpat and Somasundaram, Kumaravel (2005) Activator Protein 2$\alpha$ Status Determines the Chemosensitivity of Cancer Cells: Implications in Cancer Chemotherapy. In: Cancer Research, 65 (19). pp. 8628-8634.
Cancer chemotherapeutic drugs induce apoptosis by several pathways.... | CommonCrawl |
Abstract: We prove that the liftings of a normal functor $F$ in the category of compact Hausdorff spaces to the categories of (abelian) compact semigroups (monoids) are determined by natural transformations $F(-)\times F(-)\to F(-\times-)$ satisfying requirements that correspond to associativity, commutativity, and the... | CommonCrawl |
$\pi$ is the symbol used for a special number which we call pi (pronounced "pie"). $\pi$ comes from working with circles. $\pi$ is the ratio of the circumference of a circle to its diameter. This means that you can work out $\pi$ by dividing the distance around a circle by the length of its diameter.... Pi is a name gi... | CommonCrawl |
One fundamental interpretation of the derivative of a function is that it is the slope of the tangent line to the graph of the function. (Still, it is important to realize that this is not the definition of the thing, and that there are other possible and important interpretations as well).
The precise statement of thi... | CommonCrawl |
Let $X$ be the Klein bottle. One construction of the Klein bottle is as follows. Take the unit box $[0, 1] \times [0, 1]$. Identify one pair of opposite edges in the same orientation, and the other pair of opposite edges in the opposite orientation to obtain a quotient space (see the illustration below). Use the Seifer... | CommonCrawl |
Results for "Evgeny M. Alexeev"
ADE surfaces and their moduliDec 21 2017Jan 12 2018We define a class of surfaces and surface pairs corresponding to the ADE root lattices and construct compactifications of their moduli spaces, generalizing Losev-Manin spaces of curves.
Majorana neutrinos and other Majorana particles:The... | CommonCrawl |
Let $n \in \N$ and $n = p_1 \times p_2 \times \cdots \times p_j$, $j \ge 2$, where $p_1, \ldots, p_j \in \Bbb P$ are prime factors of $n$.
Then $\exists p_i \in \Bbb P$ such that $p_i \le \sqrt n$.
That is, if $n \in \N$ is composite, then $n$ has a prime factor $p \le \sqrt n$.
Let $n$ be composite such that $n \ge 0$... | CommonCrawl |
The seminar will meet on Fridays in Room 507, Mathematics Building, from 10:30 am to noon according to the schedule below.
I will explain a new proof of the geometric stabilization theorem for Hitchin fibers, a key ingredients in Ngô's proof of the fundamental lemma. Our approach relies on ideas of Denef-Loeser and Bat... | CommonCrawl |
I am trying to understand singular points on a complex projective -algebraic curve. I remember that singular points on a affine algebraic curve are determined by taking the partial derivatives and finding where they equal to 0.
But then I found this definition of singular point on a complex projective-algebraic curve t... | CommonCrawl |
The goal is to tile rectangles as small as possible with the F pentomino. Of course this is impossible, so we allow the addition of copies of a rectangle. For each rectangle $a\times b$, find the smallest area larger rectangle that copies of $a\times b$ plus at least one F-pentomino will tile. Example shown, with the $... | CommonCrawl |
There has been a growing concern about the validity of scientific findings. A multitude of journals, papers and reports have recognized the ever smaller number of replicable scientific studies. In 2016, one of the giants of scientific publishing, Nature, surveyed about 1,500 researchers across many different discipline... | CommonCrawl |
Electric charge is a physical quantity of matter which causes it to experience a force when near other electrically charged matter.
Two positively charged bodies repel each other.
Two negatively charged bodies repel each other.
Positively charged and negatively charged bodies are attracted to one another.
It is a scala... | CommonCrawl |
In January 2016, I was honored to receive an "Honorable Mention" of the John Chambers Award 2016. This article was written for R-bloggers, whose builder, Tal Galili, kindly invited me to write an introduction to the rARPACK package.
Eigenvalue decomposition is a commonly used technique in numerous statistical problems.... | CommonCrawl |
Depending on the expected return model used, more assumptions need to be met. For the most common model, the market model, for example, the relationship between the stock and the market needs to remain stable throughout the estimation and the event window. Only then, the alpha and beta factors, which were established w... | CommonCrawl |
Abstract: Using an approach proposed by Lunin in 1989, upper bounds are found for the norms of large submatrices of a fixed $(N\times n)$-matrix which defines an operator from $l_2^n$ into $l_1^N$ with unit norm.
Keywords: submatrix, operator norm, Lunin's lemma, Kadison-Singer problem.
This work was supported by the R... | CommonCrawl |
Because the case studies of Hydro-Québec and Manitoba Hydro contain sensitive information and cannot be shared publicly, we created a fictive case study to showcase how the Robust Decision Making framework can be applied in the hydropower sector. This case study looks at different reservoir and generating station optio... | CommonCrawl |
Now, imagine the simulator wants to simulate the real world's view in the ideal world. In order to simulate $x$ (honest party's input), the simulator must send $1$ to the trusted party and then receives $x$ from it. Thus the simulator succeeded to simulate $X$, but now the simulator computes the output as $X$ && $(Y = ... | CommonCrawl |
* @param string $location The path or URL to redirect to.
* @param int $status The HTTP response status code to use.
* Filters the redirect HTTP response status code to use.
* Filters the X-Redirect-By header.
* Allows applications to identify themselves when they're doing a redirect.
* @param string $x_redirect_b... | CommonCrawl |
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