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There are $n$ hotels on a street. For each hotel you know the number of free rooms. Your task is to assign hotel rooms for groups of tourists. All members of a group want to stay in the same hotel.
The first input line contains two integers $n$ and $m$: the number of hotels and the number of groups. The hotels are numb... | CommonCrawl |
Abstract: Gerstenhaber and Schack ([GS]) developed a deformation theory of presheaves of algebras on small categories. We translate their cohomological description to sheaf cohomology. More precisely, we describe the deformation space of (admissible) quasicoherent sheaves of algebras on a quasiprojective scheme $X$ in ... | CommonCrawl |
By a complex irreducible representation of a group $G$, I mean a simple $\mathbb CG$-module. So my representations need not be unitary and we are working in the purely algebraic setting.
Is a group virtually abelian if and only if all its complex irreducible representations are finite dimensional?
It was shown by E. Th... | CommonCrawl |
Is the Hilbert-Smith conjecture still unsolved?
$\phi: G\to G'$ be a group homomorphism, is it true that $G/\ker\phi\cong G$?
Which of the following formulas hold for all invertible $n\times n$ matrices $A$ and $B$?
Is the Lie derivative of a harmonic form also a harmonic form? | CommonCrawl |
Abstract : This paper deals with real-time control under computational constraints. A robust control approach to control/real-time scheduling co-design is proposed using the $H_\infty$ framework for Linear Parameter Varying (LPV) polytopic systems. The originality consists in a new resource sharing between control task... | CommonCrawl |
"I have been working, in collaboration with José Bordes (Valencia) and Chan Hong-Mo (Rutherford-Appleton Laboratory), to build the Framed Standard Model (FSM) for some time now. The initial aim of the FSM is to give geometric meaning to (fermion) generations and the Higgs field(s). The surprise is that doing so has ena... | CommonCrawl |
I'm sorry if this is well-known. I'm new to stable homotopy theory.
There are many models of spectra, and an answer to this MO post says most of them are equivalent, even equivalent while taking the symmetric monoidal structure (smash product) into account.
My question is motivated by wanting to know how these equivale... | CommonCrawl |
Nicolas Papernot, Patrick D. McDaniel. Deep k-Nearest Neighbors: Towards Confident, Interpretable and Robust Deep Learning. CoRR abs/1803.04765 (2018).
Papernot and McDaniel introduce deep k-nearest neighbors where nearest neighbors are found at each intermediate layer in order to improve interpretbaility and robustnes... | CommonCrawl |
$$((A-\omega^2 I)(A-\omega^2 I)+\omega^2 I)x = b.$$ It may be useful to note that the matrix factors as $$ (A-(\omega^2-i\omega)I)(A-(\omega^2+i\omega)I), $$ where $i^2 = -1$.
Details: $A$ is sparse and I won't have direct access to its entries. The dimension of the null space of $A$ is a non-negligible fraction of $n$... | CommonCrawl |
Given $f: R \times S \to T \times S$, therefore $f = <f_1, f_2>$ where $f_1: R \times S \to T$ and $f_2: R \times S \to S$. Since $S$ is Hopfian, therefore $f_2$ is an isomorphic function. I wonder if isomorphism of $f$ does implies isomorphism of $f_1$ and $f_2$. Also please let me know if this is the correct approach... | CommonCrawl |
We enumerate each choice i, and then enumerate another choice j (j ≠ i), let cnt = 0 at first, if choice j is twice longer than i let cnt = cnt + 1, if choice j is twice shorter than i let cnt = cnt - 1. So i is great if and only if cnt = 3 or cnt = - 3.
If there is exactly one great choice, output it, otherwise output... | CommonCrawl |
Last Friday, I went to one of the health economics seminars that are organised at UCL; the format that is used is that one of the people in the group suggests a paper (typically something that they are working on) but instead of having them leading the discussion, one of the others takes the responsibility of preparing... | CommonCrawl |
Received June 15, 2017. Published online August 6, 2018.
Abstract: A $*$-ring $R$ is strongly 2-nil-$*$-clean if every element in $R$ is the sum of two projections and a nilpotent that commute. Fundamental properties of such $*$-rings are obtained. We prove that a $*$-ring $R$ is strongly 2-nil-$*$-clean if and only if... | CommonCrawl |
A certain amount earns simple interest of Rs 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
3 . What should come in place of the question mark(?) in the following number series?
4 . What should come in place of the question mark(?) in the following number series?
Hence, ... | CommonCrawl |
We will now look at the algorithm for Newton's Method for approximating roots to functions.
Obtain a function $f$ and assume that a root $\alpha$ exists. Obtain an initial approximation $x_0$ to this root. Also obtain a maximum number of iterations allowed and an error tolerance $\epsilon$.
If the signs of $f(x_n + \ep... | CommonCrawl |
Prime numbers, as we know, are the positive numbers bigger than 1, which are not divisible by any number except itself and 1. Every number can be represented as the product of prime numbers. These prime numbers are known as prime factors for that particular number. Prime factorization is the method of finding prime fac... | CommonCrawl |
This is less of a "how it's done" question and more of a "am I understanding this right" question, because my rudimentary understanding of physics tells me that if your spaceship is firing a railgun projectile with megatons or gigatons of kinetic energy behind it, recoil from the weapon should also be destroying you as... | CommonCrawl |
The Semantic Web is a collection of technologies that facilitate universal access to linked data. The Resource Description Framework (RDF) model is one such technology that is being developed by the World Wide Web Consortium (W3C). A common representation of RDF data is as a set of triples. Each triple contains three f... | CommonCrawl |
At first glance, this article appears to be about a physics principle called the conservation of energy, i.e. "Energy is not created or destroyed, only changed in form". But the energy conservation principle only serves as an example, and this article has a higher purpose — it shows how shaping and testing theories cre... | CommonCrawl |
Farmer John is attempting to sort his $N$ cows ($1 \leq N \leq 10^5$), conveniently numbered $1 \dots N$, before they head out to the pastures for breakfast.
Currently, the cows are standing in a line in the order $p_1, p_2, p_3, \dots, p_N$, and Farmer John is standing in front of cow $p_1$. He wants to reorder the co... | CommonCrawl |
The Robertson–Seymour theorem says that any minor-closed family $\mathcal G$ of graphs can be characterized by finitely many forbidden minors.
Is there an algorithm that for an input $\mathcal G$ outputs the forbidden minors or is this undecidable?
Obviously, the answer might depend on how $\mathcal G$ is described in ... | CommonCrawl |
Segment Tree is used in cases where there are multiple range queries on array and modifications of elements of the same array. For example, finding the sum of all the elements in an array from indices $$L$$ to $$R$$, or finding the minimum (famously known as Range Minumum Query problem) of all the elements in an array ... | CommonCrawl |
There are 2 vertical segments on both sides and 3 horizontal segments in the center.
What's the largest number you can form, where it has the same number of visible segments as the number it represents.
For example 4 is formed with 4 visible segments on a digital clock.
Or 5 which has 5 visible segments.
How large can ... | CommonCrawl |
I was playing the PC-Game "Darkest Dungeon" recently. In the game, you have to explore dungeons, which consist of connected rooms as shown in the picture below.
You start in fixed room (Entrance). You cannot choose where to start.
The distance between adjacent rooms is the same for all rooms.
What is the shortest path ... | CommonCrawl |
I have to use an iterative method (Newton-Raphson, modified Newton and Broyden) to solve a system of nonlinear equations $f(x)=0$. Every unknown $x_i$ is bounded between $l_i$ and $u_i$, i.e., $l_i<x_i<u_i$, and evaluating $f$ if any of the unknowns goes out of its bounds would give an error.
is always inside the corre... | CommonCrawl |
Select the missing terms in the following question.
In the following question, a group of letters is given which are numbered 1, 2, 3, 4, 5 and 6. Below are given four alternatives containing combinations of these numbers. Select that combination of numbers so that letters arranged accordingly, form a meaningful word.
... | CommonCrawl |
Abstract: The Boltzmann equation models the motion of a rarefied gas, in which particles interact through binary collisions, by describing the evolution of the particle density function. The effect of collisions on the density function is modeled by a bilinear integral operator (collision operator) which in many cases ... | CommonCrawl |
Proceedings of the 34th International Conference on Machine Learning, PMLR 70:664-673, 2017.
Persistence diagrams (PDs) play a key role in topological data analysis (TDA), in which they are routinely used to describe succinctly complex topological properties of complicated shapes. PDs enjoy strong stability properties ... | CommonCrawl |
$$\mathrm dW=T\cdot\mathrm d\theta$$ where T is torque.
While solving a question like in case of a body rolling down an incline (pure rolling), we usully equate the change in kinetic energy equal to work done by gravity (just the translational work). Why do we not count the rotational work done when gravity does provid... | CommonCrawl |
The effect of liquid viscosity on the final instants previous to pinch-off of an air bubble immersed in a stagnant viscous liquid is experimentally and theoretically investigated. Our experiments show that the use of a power-law to describe the collapse dynamics of the bubble is not appropriate in an intermediate range... | CommonCrawl |
We will now look at an analogous Theorem for evaluating triple integrals over a rectangular box $B$ with iterated integrals.
Theorem 1: Let $w = f(x, y, z)$ be a three variable real-valued function such that $f$ is continuous on the rectangular box $B = [a, b] \times [c, d] \times [r, s]$. Then the triple integral of $... | CommonCrawl |
1. Each column, row and $3 \times 3$ subgrid must have the numbers 1 to 9.
2. No column, row or subgrid can have two cells with the same number.
The puzzle can be solved with the help of the numbers in the top parts of certain cells. These numbers are the products of the digits in all the cells horizontally and vertica... | CommonCrawl |
A company makes mechanical keypad locks.
The keypad is a set of five buttons arranged vertically.
The buttons are quite close together. Once a button is pushed in it stays in until the lock is opened or reset.
If the right combination of buttons are pushed in the correct order then a separate handle can be turned and t... | CommonCrawl |
Amateur math enthusiast. Novice programmer. Finally getting my hands dirty with Python. Love Latex. Want to learn linux. Jack of all trades, Master of none.
6 $f:\mathbb R \rightarrow \mathbb R$ be differentiable function such that $f'(x)$ is continuous and $f(x+1)=f(x)+1$ for all $x \in\mathbb R$. | CommonCrawl |
As I don't have access to a linux machine I would like to make a plea to Oleg (or anyone else who's able to create new firmware) to add an option to the webinterface where the default access rights of the anonymous user can be set.
echo -e "user=anonymous * $x_FIsAnonymousPath 0 $x_FIsAnonymousRights" >> /tmp/stupid-ft... | CommonCrawl |
Frequency in signal processing is the number of cycles (of the signal) per second.
May I know how to find Time frequency power spectrogram of a signal?
I am analyzing EEG signal and I am unable to understand the term Time-Frequency Power Spectrogram. Please Can anyone help me? Thank you in advance.
How is frequency rel... | CommonCrawl |
Abstract: In the present article a semilinear wave equation with scale-invariant damping and mass is considered. The global (in time) existence of radial symmetric solutions in even spatial dimension $n$ is proved using weighted $L^\infty-L^\infty$ estimates, under the assumption that the multiplicative constants, whic... | CommonCrawl |
S.K. Nechaev, K. Polovnikov, Statistika redkikh sobytii i modulyarnaya invariantnost', UFN, 188 (1), 106-112 (2018) [S.K. Nechaev, K. Polovnikov, Rare-event statistics and modular invariance, Phys. Usp., 61(1), 99-104 (2018)], Scopus: 2-s2.0-85045749757.
V.L. Aksenov, I.G. Brankov, V.A. Zagrebnov, E.A. Ivanov, D.I. Kaz... | CommonCrawl |
Hence we expect the exterior derivative to give an induced 2-form on $TM$.
This approach however does not successfully lead anywhere (could be my shoddy maths skills to blame however, so I would be extremely interested to see if it did in fact lead somewhere?). If we cannot develop a bracket on $TM$ does this mean that... | CommonCrawl |
We have seen how principal component analysis (PCA) can be used in the dimensionality reduction task—reducing the number of features of a dataset while maintaining the essential relationships between the points. While PCA is flexible, fast, and easily interpretable, it does not perform so well when there are nonlinear ... | CommonCrawl |
[1603.08980v2] Are all Secant Varieties of Segre Products Arithmetically Cohen-Macaulay?
Title:Are all Secant Varieties of Segre Products Arithmetically Cohen-Macaulay?
Abstract: When present, the Cohen-Macaulay property can be useful for finding the minimal defining equations of an algebraic variety. It is conjectured... | CommonCrawl |
I'm trying to follow Gatheral's Volatility Surface Ch. 1, i.e. the text (pg. 5 and 6) linked to in this question, with further text discussed in this question. I can't figure out how to arrive at the initial basic equation giving the change in the value of the portfolio, so if anyone can kindly please help wrap my head... | CommonCrawl |
Vector spaces are one of the most common mathematical abstractions. In classical physics, vectors can describe linear motion in space. In operations research, vectors can describe linear constraints to optimization problems. In statistics and machine learning, vectors can describe features in datasets.
In the aforement... | CommonCrawl |
Reference for homological cross lemma?
If the two sequences here are exact, then $\ker(\psi_2 \circ \phi_1) \cong \ker(\phi_2\circ\psi_1)$, and similarly for cokernel.
The proof is straightforward diagram chasing, but we'd like to just cite a source for it if possible. He says he's seen a version of this referred to as... | CommonCrawl |
I know I have already asked a question regarding this proof. However, I wanted to see if my reformulation of this proof (with my better understanding in my own words and after some time) is correct.
There exists a prime factor of the form $3k+2$ and there is no prime factor (from our finite list $p_1,p_2,\ldots,p_r$) o... | CommonCrawl |
76 Why does Friedberg say that the role of the determinant is less central than in former times?
23 Is it possible to have a $3 \times 3$ matrix that is both orthogonal and skew-symmetric?
18 How can I find all solutions to differential equation?
13 What is the probability of $\cos(\theta_1) + \cos(\theta_2) + \cos(\th... | CommonCrawl |
I'm aware of this question https://stackoverflow.com/questions/4350215/fastest-nearest-neighbor-algorithm But it's not the same question as I'm asking. Because, Octree and its generalization are only applicable to very small $D$, and they increase exponentially with regard to it. But I'm interested in very high dimensi... | CommonCrawl |
This document derives the Fourier Series coefficients for several functions. The functions shown here are fairly simple, but the concepts extend to more complex functions.
This can be a bit hard to understand at first, but consider the sine function. The function sin(x/2) twice as slow as sin(x) (i.e., each oscillation... | CommonCrawl |
We model a one-shot learning" situation, where very few (scalar) observations $y_1,...,y_n$ are available. Associated with each observation $y_i$ is a very high-dimensional vector $x_i$, which provides context for $y_i$ and enables us to predict subsequent observations, given their own context. One of the salient featu... | CommonCrawl |
[SOLVED] Is it possible for information to be transmitted faster than light by using a rigid pole?
[SOLVED] If I run along the aisle of a bus traveling at (almost) the speed of light, can I travel faster than the speed of light?
[SOLVED] Would time freeze if you could travel at the speed of light?
[SOLVED] If a mass mo... | CommonCrawl |
As is well-known the QCD coupling alpha_s is running. The only rigorously known expression for $\alpha_s$ comes from RGE. Nevertheless the approximation of fixed coupling is quite often used in QCD in order to simplify calculations. In this case the scale of alpha_s is conventionally fixed a posteriori from phenomenolo... | CommonCrawl |
Computational Complexity: Foundations of Complexity Lesson 1: What is a computer?
Lesson 1: What is a computer?
This is the first of a long series of posts giving an informal introduction to computational complexity.
Computational complexity theorists try to determine which problem are efficiently solvable on a compute... | CommonCrawl |
We prove a Hardy inequality on convex sets, for fractional Sobolev-Slobodeckii spaces of order $(s,p)$. The proof is based on the fact that in a convex set the distance from the boundary is a superharmonic function, in a suitable sense. The result holds for every $1<p<\infty$ and $0<s<1$, with a constant which is stabl... | CommonCrawl |
Divide and conquer is a extremely powerful concept that is being used a lot in computer science, and that can also be applied in real life. We present its application to sorting algorithms. Then we'll talk about a major fundamental open mathematical problem, called P=NC.
As computers surely take off the world, algorith... | CommonCrawl |
A Furuta pendulum is a serial connection of two thin, rigid links, where the first link is actuated by a vertical control torque while it is constrained to rotate in a horizontal plane; the second link is not actuated. The second link of the conventional Furuta pendulum is constrained to rotate in a vertical plane orth... | CommonCrawl |
The BMC License Usage Collection Utility is a free application that enables you to run license compliance reports on the BMC products your organization owns. This information can help you determine whether you're under-utilizing or over-utilizing licenses. Although you can run license reports from individual BMC produc... | CommonCrawl |
Algebraic expressions with more than one variable can look scary. To make variable expressions easier to solve, simply simplify! Don't be frightened; I will walk you through the steps.
This expression has two different variables: 3x + 2y. Hmm… How do you simplify this expression? Maybe you're thinking 3x + 2y = 5xy. ST... | CommonCrawl |
We have described the design and implementation of an extensive toolkit of visualization techniques. In this chapter we examine several case studies to show how to use these tools to gain insight into important application areas. These areas are medical imaging, financial visualization, modelling, computational fluid d... | CommonCrawl |
Let $C$ be the compact cylinder $S^1\times [0,1]$. A 3-manifold $M$ with incompressible boundary is called acylindrical if every map $(C,\partial C)\to (M,\partial M)$ that sends the components of $\partial C$ to essential curves in $\partial M$ is homotopic rel $\partial C$ into $\partial M$.
I'm looking, for each $g\... | CommonCrawl |
Given a complete binary tree ($n = 2^d$ leaves) with integers in leaves.
Goal: How can we minimize the number of inversions in that array only by choosing non-leaf nodes and swapping the the subtrees under the given nodes. For example, if the sequence is (4,2,1,3), then choosing the root (swapping its direct children) ... | CommonCrawl |
Abstract: We describe the Hochschild cohomology algebra for algebras of dihedral type in the subfamily of the family $D(2\mathcal B)$, for which the parameter $c$ is equal to $0$. In the calculation of multiplication in this cohomology algebra, we use the minimal bimodule projective resolution for the algebras under co... | CommonCrawl |
Welcome to the Database of Ring Theory!
A repository of rings, their properties, and more ring theory stuff.
See rings and properties on record.
You can search for rings by their properties. If you are only interested in commutative rings, try the specialized search with expanded, commutative-only properties.
There are... | CommonCrawl |
The capacitor current-voltage equation has a derivative form and an integral form.
I could have perhaps described the "t to tau" substitution step in the video a little better.
Say you have some function, $f()$. An example would be $f(x) = 2x$. The variable inside the parentheses, in this case $x$ gets matched up with ... | CommonCrawl |
Which square—large, medium, or small—covers more of the plane? Explain your reasoning.
Draw three different quadrilaterals, each with an area of 12 square units.
b. not tile the plane.
The area of this shape is 24 square units. Which of these statements is true about the area? Select all that apply.
The area can be fou... | CommonCrawl |
Del Pezzo Surfaces in Weighted Projective SpacesJan 23 2013Nov 15 2016We study singular del Pezzo surfaces that are quasi-smooth and well-formed weighted hypersurfaces. We give an algorithm how to classify all of them.
Del Pezzo Surfaces in Weighted Projective SpacesJan 23 2013Apr 13 2016We study singular del Pezzo sur... | CommonCrawl |
Your task is to divide the numbers $1,2,\ldots,n$ into two sets so that the sums of the sets are equal.
Print "YES", if the division is possible, and "NO" otherwise.
After this, if the division is possible, print an example how to create the sets. First, print the number of elements in the first set and the elements, a... | CommonCrawl |
August 2014, 111 pages, softcover, 17 x 24 cm.
This book is based on a lecture course given by the author at the Educational Center of Steklov Mathematical Institute in 2011. It is designed for a one semester course for undergraduate students, familiar with basic differential geometry, complex and functional analysis.
... | CommonCrawl |
Nine of ten cards, among which there is an ace of hearts, are distributed to three players so that the first one receives 3, the second - 4, and the third - 2 cards. How many cards combinations exist, where an ace of hearts gets to a third player?
Thus there are $9\times70\times4=2520$ ways to distribute the cards.
Not... | CommonCrawl |
We present recent results in the theory of turbulent momentum transport pertinent to the description of intrinsic rotation. Emphasis is placed on the self-consistent evolution of poloidal and toroidal flows. Both turbulent and neo-classical stresses are considered, allowing for the recovery of purely neo-classical flow... | CommonCrawl |
Deep Learning Scaling Is Predictable, Empirically by Baidu Research.
Models are becoming deeper and deeper from the 8 layers of AlexNet to the 1001-layer ResNet.
Training on large dataset is way quicker, ImageNet can now (with enough computing power) been trained in less than 20 minutes.
Dataset size are increasing eac... | CommonCrawl |
Abstract: Accurate ab-inito quantum mechanical calculations of pyrrole dimers are reported. The thermodynamical stabilities of dimers with $\alpha - \alpha, \alpha - \beta$, and $\beta - \beta$ type linkages are compared in order to predict the possibilities of branching in polypyrroles. Calculations employing large ba... | CommonCrawl |
We will now use the above theorems to prove a very important result.
Proposition 1: Let $X$ be a locally convex topological vector space. If $Y$ is a proper closed subspace of $X$ then for every $x_0 \in X \setminus Y$ there exists a continuous linear function $f$ on $X$ such that $f(x_0) \neq 0$ and $f |_Y = 0$. | CommonCrawl |
Recently O. Pechenik studied the cyclic sieving of increasing tableaux of shape $2\times n$, and obtained a polynomial on the major index of these tableaux, which is a $q$-analogue of refined small Schröder numbers. We define row-increasing tableaux and study the major index and amajor index of row-increasing tableaux ... | CommonCrawl |
Does there exist a matrix $A\neq I$ such that $A^n=1$ for any $n$?
How to calculate probability and expected value?
If a random variable is uniformly bounded, i.e., $|X_j| \leq C$ for all $j = 1,2,\ldots$, does the fourth moment exist?
If $W_t$ is a Brownian motion, is $W_t^3$ a martingale? | CommonCrawl |
It is known to be finitely generated, but the question of finite presentation is still open. Given that the mapping class group is well known to be finitely presented, a natural question to ask is then, under what conditions, if any, does every finitely generated subgroup of a given group permit a finite presentation? ... | CommonCrawl |
I'm trying to solve a 1D Poisson equation with pure Neumann boundary conditions. I've found many discussions of this problem, e.g.
Some of the answers seem unsatisfactory though. For example, the answer in 2) contains a document that explains how the matrix $A$ changes when applying Neumann boundary conditions, but doe... | CommonCrawl |
We draw at random a number in interval [0,1] such that each number is "equally likely". Suppose we do the experiment two times (independently), giving us two numbers in [0,1]. What is the probability that the sum of these numbers is greater than 1/2?
My understanding is that since the experiments are independent, I am ... | CommonCrawl |
It got very easy to do Machine Learning: you install a ML library like scikit-learn or xgboost, choose an estimator, feed it some training data, and get a model which can be used for predictions.
Ok, but what's next? How would you know if it works well? Cross-validation! Good! How would you know that you haven't messed... | CommonCrawl |
(1) There exist uncountably many ergodic invariant probability measures.
(2) Atomic invariant measures are weak star dense in the set of all invariant probability measures.
The proof of (2) is contained in the much more general theorem due to Sigmund. This is because the main result of Sigmund "Generic Properties Of In... | CommonCrawl |
Hi everybody. I am new to sage. I want to construct rings, ideals, and quotient rings. I used Z.IntegerRing() to generate the ring of integers.
Question 1: Then I used I = Z.ideal(2) to get the ideal generated by 2 (even numbers). Question: How can I display the Elements. E.g. I(2) does not work in order to display the... | CommonCrawl |
The d-wave vortex lattice state is studied within the framework of Bogoliubov-de Gennes (BdG) mean field theory. We allow antiferromagnetic (AFM) order to develop self-consistently along with d-wave singlet superconducting (dSC) order in response to an external magnetic field that generates vortices. The resulting AFM ... | CommonCrawl |
A new metro connection between Metsälä ja Syrjälä has finally been opened. There are $n$ stations on the line; the first station is Metsälä and the last station is Syrjälä.
The first train travelled from Metsälä to Syrjälä. You know for each station the total number of passenger who either entered or left the train. Ba... | CommonCrawl |
Is this what am I supposed to do? And at what locations I put 0s to make the kernel 100x100?
Where the real part of the result is $ac-bd$, and the imaginary part is $ad+bc$.
Then you can take the inverse 2D-DFT.
Note that, for an alias free circular convolution implementation, your DFT length should be at least $100 + ... | CommonCrawl |
The goal is, to make slice pointfree, i.e. write it as slice = ..., and thereby illustrate the systematic approach of doing so.
where $\alpha$ is a parameter and $F$ is a function definition for the function f that does not contain $\alpha$.
The next parameter which we want to remove is called len. It appears in $(2)$ ... | CommonCrawl |
Han, X.Y.;Xu, Z.R.;Wang, Y.Z.;Tao , X.;Li, W.F.
This experiment was conducted to investigate the effect of cadmium levels on weight gain, nutrient digestibility and the retention of iron, copper and zinc in tissues of growing pigs. A total of one hundred and ninety-two crossbred pigs (barrows, Duroc$\times$Landrace$\ti... | CommonCrawl |
Can we apply Newton-Raphson method treating $i$ as constant or we have to substitute $x=a+ib$ and solve two simultaneous equations.
As Robert Israel answered, the work to be done is the same and the same problems are faced, in particular the choice of $x_0$.
Newton-Raphson is exactly the same for equations involving co... | CommonCrawl |
This question is similar to Leak Information?, but with new settings.
Let $a,b,c,d,e,f$ be selected at random from $\mathbb Z^*_q$. Also, let $r_1,r_2,r_3,z_1,z_2,z_3,p_1,p_2,p_3$ be selected at random from $\mathbb Z^*_q$.
Browse other questions tagged cryptanalysis protocol-design semantic-security data-privacy proba... | CommonCrawl |
After this 3-tape Turing machine is constructed we can concert is to a 1-tape Turing machine, if necessary.
Such a universal machine can be physically realized via hardware (like a PC, designed for executing $\delta$ with 3 Gigahertz) and the machine code might then come from a computer program written by a 6 year old ... | CommonCrawl |
Abstract: We study the semileptonic differential decay rates of $B_c$ meson to S-wave charmonia, $\eta_c$ and $J/\Psi$, at the next-to-leading order accuracy in the framework of NRQCD. In the heavy quark limit, $m_b \to \infty$, we obtain analytically the asymptotic expression for the ratio of NLO form factor to LO for... | CommonCrawl |
A method of proving mathematical results based on the principle of mathematical induction: An assertion $A(x)$, depending on a natural number $x$, is regarded as proved if $A(1)$ has been proved and if for any natural number $n$ the assumption that $A(n)$ is true implies that $A(n+1)$ is also true.
The proof of $A(1)$ ... | CommonCrawl |
Bondarev B. V., Zhmykhova T. V.
A problem of calculating the probability of ruin of an insurance company in infinite number of steps is considered in the case where this company is able to invest its capital to a bank deposit at every time. As a distribution describing claim amounts to the insurance company, the gamma ... | CommonCrawl |
Are there too many 8-digit primes $p$ for Mersenne primes $M_p$?
I put $12?$ as there could still be some $8$-digit $p$ for which $M_p$ is prime. So my question is, isn't that $12$ out of place? Or does the LPW conjecture expect large deviations from $5.92$?
It is not verified if there are more $p$ between $3.7\times10... | CommonCrawl |
Inline formulas are surrounded by single dollar signs. For example, $f(x) = ax^2 + bx + c$ renders as $f(x)=ax^2+bx+c$.
Greek letters are mostly written by simply spelling them after a backslash with capitalization indicated by first letter. For example, $\alpha \beta \Gamma \Delta$ renders as $\alpha \beta \Gamma \Del... | CommonCrawl |
Comment. The trace of an endomorphism $\alpha$ of a finite-dimensional vector space $V$ over the field $k$ may be defined as the trace of any matrix representing it... To understand total variation we first must find the trace of a square matrix. A square matrix is a matrix that has an equal number of columns and rows.... | CommonCrawl |
The bounty I placed on this question expires in the next 24 hours.
I have a psychological data set which, traditionally, would be analysed using a paired samples t test. The design of the experiment is $39 (subjects) \times 7 (targets) \times 2 (conditions)$, and I'm interested in the difference in a given variable bet... | CommonCrawl |
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What happens when you combine Relational Databases, Logic, and Machine Learning?
Answer: Statistical Relational Learning. Maybe I can get the book for Christmas.
Unfortunately, when you have 30 full day workshops in a two day period, you miss mos... | CommonCrawl |
Maria Udan-Johns, Rocio Bengoechea, Shaughn Bell, Jieya Shao, Marc I Diamond, Heather L True, Conrad C Weihl and Robert H Baloh.
Prion-like nuclear aggregation of TDP-43 during heat shock is regulated by HSP40/70 chaperones.. Human molecular genetics 23(1):157–70, January 2014.
Abstract TDP-43 aggregation in the cytopl... | CommonCrawl |
I am a postdoc in the Math Department at University of Hawaii (2016–2017). In fall 2017 I will move to University of Colorado, Boulder.
I have worked at Iowa State University (2014–2016) and University of South Carolina (2012–2014).
My primary research area is universal algebra; current projects focus on lattice theory... | CommonCrawl |
Abstract: Quantizing the mirror curve of certain toric Calabi-Yau (CY) three-folds leads to a family of trace class operators. The resolvent function of these operators is known to encode topological data of the CY. In this paper, we show that in certain cases, this resolvent function satisfies a system of non-linear i... | CommonCrawl |
I recently did a course on Associative Rings. Do there exist non-Associative rings? I'd like to discuss certain examples here.
I'm told that is one such ring, which is non-associative under the operation of vector product. In other words, $A\times (B\times C)\neq (A\times B)\times C$.
After thinking about it for a bit,... | CommonCrawl |
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