text
stringlengths
104
605k
# Excess vertical space in \vdots How do I get a tight \fbox around \vdots? There is an excess vertical space as discussed in The code below produces: ## Code: \documentclass{article} %% Defined in https://tex.stackexchange.com/a/412418/4301 \newcommand{\myvdots}{\raisebox{.006\baselineskip}{\ensuremath{\vdots}}} ...
## Friday, July 15, 2011 ### Review of El's Drive In, Morehead City Every year, when we travel to Atlantic Beach, I read reviews of the restaurants in the area.  And, every year, I consistently read people raving about El’s Drive-In in Morehead City.  I’ve seen it called “classic” and “a definite must” but honestly, ...
# Is there any way to collect only variables with a specific power? Suppose I've got this: In[13]:= Expand[(a + b) (b + c) (c + a)] Out[13]= a^2 b + a b^2 + a^2 c + 2 a b c + b^2 c + a c^2 + b c^2 And I want to collect only terms involving a^2. In other words, I want the following output: a^2(b + c) + a b^2 + 2 a...
NEW New Website Launch Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc... ## AIEEE 2011 Exam Held on Sun May 01 2011 09:30:00 GMT+0000 (Coordinated Universal Time) Click View All Questions to see questions one by one or...
# wigner semi-circle distribution random numbers generation I am trying to generate random numbers in Wigner semi-circle distribution. Since this one does not have the analytical solution for the inverse function of the pdf. I wonder if anyone familiar with a standard way to generation random numbers (RNs) follow this...
PLoS ONE The Gender Gap Tracker: Using Natural Language Processing to measure gender bias in media DOI 10.1371/journal.pone.0245533 , Volume: 16 , Issue: 1 Article Type: research-article, Article History • • • Altmetric ### Notes Abstract We examine gender bias in media by tallying the number of men and women quoted...
× Get Full Access to Atkins' Physical Chemistry - 11 Edition - Chapter 11a - Problem P11a.10 Get Full Access to Atkins' Physical Chemistry - 11 Edition - Chapter 11a - Problem P11a.10 × ISBN: 9780198769866 2042 Solution for problem P11A.10 Chapter 11A Atkins' Physical Chemistry | 11th Edition • Textbook Solutions ...
Distributed Rate Allocation for Wireless Networks # Distributed Rate Allocation for Wireless Networks Jubin Jose and Sriram Vishwanath J. Jose and S. Vishwanath are with the Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, TX 78712 USA (email(s): jubin@austin.utexas.edu; s...
## Types & Summary of Cracks in Reinforced Concrete Column The occurrence of various crack patterns in the building mostly takes place during construction and/or after completion. A building component develops cracks whenever the stress in the components exceeds its strength. Stress in the building component is caused...
# How to find $k$-th number whose digits are all even? As my question says I have to find $k$-th number whose digits are all even. I figure out that all those numbers are made of of $\{0,2,4,6,8\}$ and there is a sequence in which the numbers change their value like:$$0,2,4,6,8,20,22,24,26,28,40,42,44,46,48\dots80,82,...
# What If They Find the Bodies A recurring dream <p> The dream always begins with the fear that I hadn't buried the bodies deep enough. You see, the floor of the fruit cellar was made of very hard-packed dirt, making it difficult to dig. Especially when in a hurry. I had buried them long ago and was not entirel...
# Double Displacement Reaction 1. Oct 10, 2011 ### Bashyboy What exactly is a double displacement reaction? I searched my textbook for the term--yes, I did check the glossary first--and it proved futile. My teacher alludes to this term and even has one power point slide to it. It says, "When an aqueous solution of s...
### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) SIGMA 14 (2018), 068, 10 pages      arXiv:1807.04442      https://doi.org/10.3842/SIGMA.2018.068 Contribution to the Special Issue on Painlevé Equations and Applications in Memory of Andrei Kapaev ### Numerical Approach to Painlevé Transcenden...
# Direct from Dell Euler problem 9.2 . There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc. ```g p = [ [a, b, c] | m <- [2 .. limit], n <- [1 .. (m - 1)], let a = m ^ 2 - n ^ 2, let b = 2 * m * n, let c = m ^ 2 + n ^ 2, a + b + c == p ] where limit = floor . sqrt . fromInte...
# statsmodels.tsa.deterministic.TimeTrendDeterministicTerm.constant¶ property TimeTrendDeterministicTerm.constant Flag indicating that a constant is included
## Algebra 2 (1st Edition) $8.5 \ dollars \ per \ hour$ The total money earned is 85 dollars. The amount of time is 10 hours. Then we must find the rate by dividing dollars by hours. That equals $85/10$or $8.5$ dollars per hour. This is correct by unit analysis as it is a rate and the unit is $units/time$
# Homework Help: Measure space, null set 1. May 24, 2010 ### complexnumber 1. The problem statement, all variables and given/known data Let $$(X,\mathcal{A},\mu)$$ be a fixed measure space. Let $$A_k \in \mathcal{A}$$ such that $$\displaystyle \sum^\infty_{k=1} \mu(A_k) < \infty$$. Prove that \begin{align*} \{ x \...
# NAG Library Function Document ## 1Purpose nag_ode_bvp_ps_lin_coeffs (d02uac) obtains the Chebyshev coefficients of a function discretized on Chebyshev Gauss–Lobatto points. The set of discretization points on which the function is evaluated is usually obtained by a previous call to nag_ode_bvp_ps_lin_cgl_grid (d02u...
It is currently 17 Mar 2018, 21:14 GMAT Club Daily Prep Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questions that match your level based on your Ti...
# Category:Primitives involving Root of x squared minus a squared This category contains results about primitives of expressions involving $\sqrt {x^2 - a^2}$.
# For the cell reaction $2Fe^{3+}(aq)+2I^{-}(aq)\rightarrow2Fe^{2+}(aq)+I_2(aq)$ $E^{\ominus}_{cell}$ cell E 0.24V at 298 K. The standard Gibbs energy $(\triangle^{\circ}_{r}G^{\ominus})$of the cell reaction is : [Given that Faraday constant $F = 96500 C \;mol^{-1}$ ( A ) $-23.16 kJ\; mol^{-1}$ ( B ) $- 46.32 kJ \;mol^...
# I have a curve in 2D space (x,y), described by the following equation: ax^2+bxy+cy^2+d=0 where a,b,c,d are known. It is obvious that it is a 1D curve embedded in a 2D space. So I would think there could be such a description of the curve, where only single parameter is present. 2D curve with two parameters to single...
# caption package in twocolumn mode: Distinct styles for figure and (wide) figure* I'm using a KOMA-script based twocolumn layout and modifying float captions with the caption package. Unfortunately, when redefining the default style, the new options will apply to both column-wide figures and text-wide figure*s. This ...
# Why is the random intercept variance so much larger in R than in SPSS in my model and how do I interpret the results? I am new to Cross Validated so please forgive me if this question has been asked before. However, I did not find any post that answered my question, so here it is: I am running a 3 level multilevel ...
Let $\mathbf{R} = [x,y,z]$ be a cartesian vector, $R_\alpha$ it's tensor representation with $\alpha = x,y,z$ and let $R=\sqrt{x^2 + y^2 + z^2}$ be its norm. I want to do tensor derivatives of the Coulomb potential $1/R$. The first derivative is $\frac{\partial}{\partial R_\alpha} \frac{1}{R} = -\frac{R_\alpha}{R^3}$ a...
Consider a spatial discretization of the domain in N = 3 regular intervals. Reasons for the selection of its problem. MATLAB programming is selected for the computation of numerical solutions. For a linear advection equation, we want the amplification factor to be 1, so that the wave does not grow or decay in time. The...
# There is an intermediate extension of degree $p$ Let $$K$$ be a Galois extension of $$F$$ and $$p$$ be a prime factor of the degree $$[K:F]$$. I want to show that there is an intermediate extension $$F\subseteq L\subseteq K$$ with $$[K:L]=p$$. Do we us for that the fact that the intermediate fields are in one to...
Seurat "Expression Level" units 1 0 Entering edit mode 2.2 years ago paulranum11 ▴ 70 I am trying to understand what the correct units are for the violin plots output by Seurat. The Y axis is labeled "Expression Level" by default on their violin plots. If I input a matrix of counts values will my units then be log cou...
# Math Help - Need help proving mathematical induction 1. ## Need help proving mathematical induction Prove that 1(1!) + 2(2!) + ... + n(n!) = (n+1)! - 1, for n >= 1 Here's what I have: Base case: n = 1. s(n) = 1(1!) + 2(2!) + ... + n(n!) = (n+1)! - 1 Therefore, (1+1)! - 1 = 1 Correct... Inductive step: For n+1, $...
# Math Help - Constructing one-sided CI from MLE 1. ## Constructing one-sided CI from MLE $X_1,X_2,...,X_n$ is a sample from the distribution whose density is: $f_{X}(x) = e^{-x-\theta} \mbox{ if }x \geq \theta$ Based on the MLE estimator of $\theta$ construct a one-sided confidence interval for the unknown paramet...
###### Variance development lectures · 87 · 3 · 7 Jul '21 Hello, When rereading the course, I noticed that the following development (p. 93) does not look… lectures · 35 · 0 · 7 Jul '21 This section is labelled as optional material in the lecture notes. Does that mean its contents wil… ###### Lecture10 - Duality [Slide...
Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here! GN # A certain shop repairs both audio and video components. Let $A$ denote the event that the next component brought in for repair is an audio component, and let $B$ be the event that the next component is a compact disc pl...
# Throw error if font is not defined I need to throw an error, should a certain font not be installed. I have a font in a subfolder: /font/NinjaFont.ttf. This must be installed via certain commands (not important for this - but here: http://math.stanford.edu/~jyzhao/latexfonts.php) EDIT: If it's not installed I get...
# How to average quantized and truncated data? So I have data that has been quantized by an analogue to digital converter. (continuous data has been turned into discrete data and the values range from 0 to the saturation value , which is 127 in this case). This particular instrument I used to gather the data is quite...
# Graph classes in which CLIQUE is known to be NP-hard? Given a graph $G$ and a positive integer $k$, the CLIQUE problem asks if $G$ contains a clique (complete subgraph) on at least $k$ vertices. This problem is long known to be NP-complete --- in fact, it was one of Karp's list of 21 NP-complete problems. My questio...
# Magnetic Vector Potential 1. Dec 8, 2008 ### lovinuz 1. The problem statement, all variables and given/known data There is a disc with radius R which has a uniformly-distributed total charge Q, rotating with a constant angular velocity w. (a) in a coordinate system arranged so that the disc lies in the xy plane ...
# Is there a name for a neither-increasing-nor-decreasing-but-alternating sequence like below? A sequence of at least two distinct integers ${ \left\{x_1, x_2, x_3, x_4, \ldots, x_n | n \geq 2, x_i \ne x_j \forall i \ne j \right\} }$ that satisfies either the property: $$x_1 < x_2 > x_3 < x_4 \cdots <> x_n$$ or: $$x...
# I just took a test and I want to know if I did this problem right? Springs+ Vibration ## Homework Statement A 500 g block is released from rest and slides down a frictionless track that begins 2.00 m above the horizontal. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a...
[ Direct Download: TeXShop 3 for Lion | Lion Source | TeXShop 2 | Version 2 Source ] [ Contact ] ### TeXShop Changes 4.19 Version 4.19 cleans up three minor issues in 4.18: • In some situations, the initial bracket or brace of a command parameter was not syntax colored. The bug was hard to see in Lite mode, but stood...
# 2018 Student Paper Award Announcement We are pleased to announce the winners of the 2018 INFORMS Railway Applications Section Student Paper Contest. This year the competition was unusually strong, with many very high quality papers. Fourteen papers were submitted. These papers were each reviewed by multiple judges, ...
# Capital Pi Symbol (Π) The capital Greek letter (capital Pi) is used in math to represent the product operator. Typically, the product operator is used in an expression like this: In plain language, this means take the product of the sequence of expressions represented by the expression starting from and iterating u...
# Talking about derivatives of exponential functions My older son is starting the section in Stewart’s Calculus book on exponential functions. We’ve already spent a couple of days talking about inverse functions and the topic for today was finding derivatives of exponential functions. I started by asking how he thoug...
# Merging directories and keep files that have more lines Goal My goal is to merge directories. Whenever a file has the same name in two or more directories, then only the one that has the highest number of lines should be kept. If both files have the same number of files and differ then an error message should be th...
# Compute $P\left(\int_0^1W(t)dt>\frac{2}{\sqrt3}\right)$ where $W(t)$ is a Wiener process I'm working through problems I found on the net for which there are no answers given. Therefore I'm looking for someone to check my work. Q: $P\left(\int_0^1W(t)dt>\frac{2}{\sqrt3}\right)$ where $W(t)$ is a Wiener process (Brow...
## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition) $$\frac{1}{2}$$ We simplify the expression using the fact that dividing by a fraction is the same as multiplying by the inverse: $$\frac{3}{8}\times \frac{4}{3}\\ \frac{3\times \:4}{8\times \:3}\\ \frac{4}{8}\\ \frac{1}{2}$$
# Bernoulli and Binomial Distribution A Bernoulli random variable is a random variable that takes a value of 1 in case of a success and a value of 0 in case of a failure. We can also say that this random variable has a Bernoulli distribution. A classic example is a single toss of coin. When we toss a coin, the outcome...
Question: WGCNA gene clusters vs eigengenes 1 10 weeks ago by bioming10 Queen's University bioming10 wrote: Hello, I'm trying to go through the WGCNA tutorial on mice liver data from https://horvath.genetics.ucla.edu/html/CoexpressionNetwork/Rpackages/WGCNA/Tutorials/. I understood the concepts from expression matrix...
spockmonkey40 2022-06-30 Find the matrix A for the linear transformation T relative to the bases $B=\left\{1,x,{x}^{2}\right\}$ and $B\prime =\left\{1,x,{x}^{2},{x}^{3}\right\}$ such that $T\left(\stackrel{\to }{x}\right)=A\stackrel{\to }{x}$ Do you have a similar question? Want to know more about Two-wayTables? K...
seminars:arit The Arithmetic Seminar TOPICS: Arithmetic in the broadest sense that includes Number Theory (Elementary Arithmetic, Algebraic, Analytic, Combinatorial, etc.), Algebraic Geometry, Representation Theory, Lie Groups and Lie Algebras, Diophantine Geometry, Geometry of Numbers, Tropical Geometry, Arithmetic ...
# From a cask of milk containing 30 litres, 6 litres are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of litres of milk left in the cask? Option 1) Option 2) Option 3) Option 4) Option 5) $X=30\: L$ $Y= 6\: L$ $N= 3$ $Final\: mi...
# The average analytic rank of elliptic curves @article{HeathBrown2003TheAA, title={The average analytic rank of elliptic curves}, author={D. R. Heath-Brown}, journal={Duke Mathematical Journal}, year={2003}, volume={122}, pages={591-623} } All the results in this paper are conditional on the Riemann Hypothesis for th...
### Home > PC3 > Chapter 8 > Lesson 8.2.1 > Problem8-61 8-61. There are no buttons for secant, cosecant, or cotangent on a calculator. In order to evaluate these expressions, the definition of the reciprocal function needs to be utilized. Use a calculator to evaluate each of the expressions below. The first answer is...
# [XeTeX] character offsets in math fonts J P Blevins jpb39 at cam.ac.uk Fri Jun 11 14:21:41 CEST 2004 If I use the mathpi package with XeTeX, all of the characters in the Mathematical Pi font sets are offset by one character. So $\alpha$ gives 'beta' (0062), not 'alpha' (0061) in Math Pi 1, $\mathbb{R}$ gives 'black...
# Tilesets - how to make the pink color appear transparent recently I searched for some free to use Tilesets on the internet. And wherever I found a sheet of sprites there is this pink color in the background. i know that all the spots having that color should be transparent later on but how do I do that? And has it a...
Thread: LLL in GP/Pari View Single Post 2015-11-17, 13:04   #3 paul0 Sep 2011 3·19 Posts Quote: Originally Posted by WraithX Be sure to check the built-in documentation for what a function does, using either ? or ??: Code: ?qflll qflll(x,{flag=0}): LLL reduction of the vectors forming the matrix x (gives the unimod...
## Cryptology ePrint Archive: Report 2016/184 Efficiently Enforcing Input Validity in Secure Two-party Computation Jonathan Katz and Alex J. Malozemoff and Xiao Wang Abstract: Secure two-party computation based on cut-and-choose has made great strides in recent years, with a significant reduction in the total number...
Please subscribe to the official Codeforces channel in Telegram via the link: https://t.me/codeforces_official. × D. TV Shows time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output There are $n$ TV shows you want to watch. Suppose the whole time is split into equ...
# Building a powerful electromagnet for repulsion I have to make an electromagnet for my project. The role of the electromagnet is that I want it to repel a permanent magnet so that its hard to press down at that point an N42 ring Neodymium magnet (Outer diameter 26,75 mm: Inner diameter 16 mm: Height 5 mm) from aroun...
# Tag Info 93 Firstly, Mars has a mean distance from the Sun of 1.524 AU, so by the inverse square law the energy it gets from the Sun is about 40% of what the Earth gets. But the main reason that Mars is so cold is that its atmosphere is very thin compared to Earth's (as well as very dry, see below). From Wikipedia ...
Actuarial Outpost Ito's Lemma general question Register Blogs Wiki FAQ Calendar Search Today's Posts Mark Forums Read FlashChat Actuarial Discussion Preliminary Exams CAS/SOA Exams Cyberchat Around the World Suggestions Investment / Financial Markets Old Exam MFE Forum #1 09-18-2008, 12:39 AM langstafftigerpizza ...
## DMOPC '19 Contest 3 P0 - What is it? View as PDF Points: 3 Time limit: 2.0s Memory limit: 256M Author: Problem type Allowed languages Ada, Assembly, Awk, Brain****, C, C#, C++, COBOL, CommonLisp, D, Dart, F#, Forth, Fortran, Go, Groovy, Haskell, Intercal, Java, JS, Kotlin, Lisp, Lua, Nim, ObjC, OCaml, Octave, Pas...
Article | Open | Published: # Preclinical longitudinal imaging of tumor microvascular radiobiological response with functional optical coherence tomography ## Abstract Radiation therapy (RT) is widely used for cancer treatment, alone or in combination with other therapies. Recent RT advances have revived interest in...
Under the auspices of the Computational Complexity Foundation (CCF) REPORTS > DETAIL: ### Revision(s): Revision #2 to TR16-051 | 17th March 2017 06:31 #### Efficient Multi-Point Local Decoding of Reed-Muller Codes via Interleaved Codex Revision #2 Authors: Ronald Cramer, Chaoping Xing, chen yuan Accepted on: 17th ...
# Buildings made from cubes In this challenge, you are provided with a set of $$\n\$$ identical blocks and need to determine how many unique buildings can be constructed with them. Buildings must satisfy the following rules: 1. No overhangs - each block must either be on the ground or supported by one or more blocks ...
# Tangent graph: y = tan x #### Everything You Need in One Place Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered. #### Learn and Practice With Ease Our proven video lessons ease you through problems quickly, an...
## truncated Normal moments An interesting if presumably hopeless question spotted on X validated: a lower-truncated Normal distribution is parameterised by its location, scale, and truncation values, μ, σ, and α. There exist formulas to derive the mean and variance of the resulting distribution,  that is, when α=0, ...
# quadratic forms over fields of characteristic 2 I was wondering if anyone knows any good sources for the theory of quadratic forms over fields of characteristic 2 which are written in English? • What have you done so far? Typing the title into google gives a lot of results. So what? Mar 20 '12 at 13:02 • Indeed. Fo...
× # How computer multiply two numbers.? 0 1 suppose i have to perform the multupication 100*100 .. so how many multipications are actually performed inside the computers to do this multipication. I searched it on stackoverflow , but i didn't understand their logic..! help ! http://stackoverflow.com/questions/3060064...
# I/O and file systems¶ Warning The ARCHER2 Service is not yet available. This documentation is in development. ## Using the ARCHER2 file systems¶ Different file systems are configured for different purposes and performance. ARCHER2 has three file systems available to users: Node type Available file systems /home...
# Math Help - Getting a closed truth tree while it should be open! 1. ## Getting a closed truth tree while it should be open! Hello every one! It is about a propositional logic problem, I have tried it vey hard maybe... cause I am too tired... This is it: a^b-> c |- (a->c)^(b->c) which means that (a->c)^(b->c) is a ...
# Castrol Perfecto HT 2 #### Description Perfecto™ HT 2 (previously called Transcal LT) is a high quality mineral oil combining low vapour pressure and high levels of thermal stability, specific heat and thermal conductivity with exceptional low temperature fluidity. #### Application Perfecto HT 2 is recommended pr...
# How to add plots into an existing ps file Hi, I am trying to add new plots to an existing ps file. I think the code ``````TPostscript ps; ps.Open("myOldPs.ps"); ps.On(); .... ps.Close();`````` should work because I just open the existing ps file. But in fact, my old ps file always is overwritten and created newly....
# Returning Temporary Value? ## Recommended Posts Q3: Returning Temporary Value? One last question about pointers, when I have a function that returns a value let's we have this method: //mystring.h class MyString{ public: std::string MyString(string, string); private: std::string theString } std::string MyString::C...
# Using different text and math fonts with unicode-math When using pdfLaTeX it is sometimes possible, when using different text and math font sets, to take the fonts for operators like sin and cos from the text font even within formulae. Thus, using the lucimatx package, I can write \renewcommand{\rmdefault}{bch} \us...
# All Questions 410 questions Filter by Sorted by Tagged with 617 views ### efficiency and flow separation I am studying about wind turbine and turbine. I have some questions, but first, I explain some cases as follow: Low velocity air over an airfoil at a zero-incidence angle does not initiate flow ... 575 views #...
There was an error loading the page. Try to answer the following questions here: • What is this question used for? • What does this question assess? • What does the student have to do? • How is the question randomised? • Are there any implementation details that editors should be aware of? ### Feedback From users w...
# Measurement of the polarisation of W bosons produced with large transverse momentum in pp collisions at sqrt(s) = 7 TeV with the ATLAS experiment 5 Laboratoire de Physique Corpusculaire LPC - Laboratoire de Physique Corpusculaire - Clermont-Ferrand Abstract : This paper describes an analysis of the angular distribut...
Exercise 7.9 Consider a vocabulary with only four propositions, $A$, $B$, $C$, and $D$. How many models are there for the following sentences? 1. $B\lor C$. 2. $\lnot A\lor \lnot B \lor \lnot C \lor \lnot D$. 3. $(A{:\;{\Rightarrow}:\;}B) \land A \land \lnot B \land C \land D$. View Answer
## Tuesday, April 03, 2018 ### Challenge: Is there a small NFA for { a^i : i\ne 1000} ? (Added later- a reader left a comment pointing to a paper with the answer and saying that the problem is not original. My apologies-  upon rereading I can see why one would think I was claiming it was my problem. It is not. I had ...
# Has a magnetic field flip of a distant star ever been measured? The magnetic field of the Sun flips during each solar cycle, with the flip occurring when sunspot cycle is near its maximum. Levels of solar radiation and ejection of solar material, the number and size of sunspots, solar flares, and coronal loops all e...
# University of Hertfordshire ## A search for white dwarfs in the Galactic plane: the field and the open cluster population Research output: Contribution to journalArticlepeer-review ### Standard A search for white dwarfs in the Galactic plane: the field and the open cluster population. / Raddi, R.; Catalan, S.; Ga...
The étale topos of a scheme is the classifying topos of…? By a theorem of Joyal and Tierney, every Grothendieck topos is the classifying topos of a localic groupoid. It has been proved (e.g. C. Butz. and I. Moerdijk. Representing topoi by topological grupoids. Journal of Pure and Applied Algebra 130, 223-235, 1998) th...
The thermodynamic reasons why membrane proteins form stable complexes inside the hydrophobic lipid bilayer remain poorly understood. This is largely because of a lack of membrane–protein systems amenable for equilibrium studies and a limited number of methods for measuring these reactions. Recently, we reported the equ...
# Let $f$ be a function with measurable domain $D$. show that$f$ is mble iff the function $g$ is measurable I am working through some problems in Real Analysis (Royden) and I came across this one. Let $f$ be a function with measurable domain $D$. Show that $f$ is measurable if and only if the function $g:\mathbb{R}\t...
# If the Equations of Two Diameters of a Circle Are 2x + Y = 6 and 3x + 2y = 4 and the Radius is 10, Find the Equation of the Circle. - Mathematics If the equations of two diameters of a circle are 2x + y = 6 and 3x + 2y = 4 and the radius is 10, find the equation of the circle. #### Solution Let (hk) be the centre ...
Rational Number Get Rational Number essential facts below. View Videos or join the Rational Number discussion. Add Rational Number to your PopFlock.com topic list for future reference or share this resource on social media. Rational Number A symbol for the set of rational numbers The rational numbers (${\displaystyle \...
Expressions¶ Calling functions on arrays of data is performed lazily using C++ template expressions. This allows better optimization and does not require saving temporary data. For example, subtracting one univector from another gives expression type, not univector: univector<int, 5> x{1, 2, 3, 4, 5}; univector<int,...
# Polynomial Identity Testing (PIT) The Polynomial Identity Testing (PIT) is such a problem: given as input two polynomials, determine whether they are identical. It plays a fundamental role in Identity Testing problems. First, let's consider the univariate ("one variable") case: • Input: two polynomials $f, g\in\ma...
What is the intersection of the closures of left invertible operators and right invertible operators? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-18T21:08:27Z http://mathoverflow.net/feeds/question/99815 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/99815...
# Are there any “cumulative signatures” for decentralized networks? Lets assume that there is a decentralized network $N$ with participants $A,B,C, D$ and that there was a message $m$ that all of $A,B,C,D$ agreed to. An outsider $X$ wants to know via signatures that $m$ was indeed agreed to by all of $N$. Is there a ...
The Fundamental Theorem of Arithmetic states that every natural number greater than 1 is either a prime or a product of a finite number of primes and this factorization is unique except for the rearrangement of the factors. This will give us the prime factors. It states that any integer greater than 1 can be expressed ...
HERE Map Feedback API Map Feedback API Developer's Guide # SLI-specific Properties The SLI blurring request handles information to blur specific images used in the Street Level Imagery product to comply with quality as well as legal and privacy regulations. • Image Quality • incorrect location • obstructed view • po...
# dualizing sheaf of a nodal curve I'm trying to understand the dualizing sheaf $\omega_C$ on a nodal curve $C$, in particular why is $H^1(C,\omega_C)=k$, where $k$ is the algebraically closed ground field. I know this sheaf is defined as the push-forward of the sheaf of rational differentials on the normalization $\t...
<meta http-equiv="refresh" content="1; url=/nojavascript/"> Net Ionic Equations | CK-12 Foundation You are reading an older version of this FlexBook® textbook: CK-12 Chemistry - Intermediate Go to the latest version. # 16.4: Net Ionic Equations Created by: CK-12 ## Lesson Objectives • Write net ionic equations for ...
# Introduction IndexNumR is a package for computing indices of aggregate prices or quantities using information on the prices and quantities on multiple products over multiple time periods. Such numbers are routinely computed by statistical agencies to measure, for example, the change in the general level of prices, p...
This topic is 4876 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic. ## Recommended Posts Q: Why do I have to use header files in C++? A: Technically, you can put all your code into the .h file, but that is consider very bad coding. When C++ was created, computers di...
# CAT Practice : Speed Time, Races You are here: Home  CAT Questionbank   CAT Quant  Speed Time, Races The following topics are covered in the CAT quant section from Arithmetic in Speed Time, Races. Detailed explanatory answers, solution videos and slide decks are also provided. 1. ### Speed Time - Races Two friends ...
## Tuesday, May 17, 2011 At Climate Audit, Steve McIntyre has been frequently writing about Chladni patterns in connected with principal components of autocorrelated data. He developed it for the Steig paper, and was disappointed when J Climate wouldn't allow its inclusion in the response. And he's recently claimed an...
# How does skewed data affect deep neural networks? I'm playing around with deep neural networks for a regression problem. The dataset I have is skewed right and for a linear regression model, I would typically perform a log transform. Should I be applying the same practice to a DNN? Specifically, I'm curious how ske...
# zbMATH — the first resource for mathematics Holomorphic vector bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. (Russian) Zbl 0393.35061 The paper starts with the Kadomtsev-Petviashvili equation, written in the form $0=\frac34 \frac{\partial^2U}{\partial y^2}+\frac{\partial}{\partial x}\left...