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## Computing Chow groups.(English)Zbl 0663.14001
Algebraic geometry, Proc. Conf., Sundance/Utah 1986, Lect. Notes Math. 1311, 220-234 (1988).
[For the entire collection see Zbl 0635.00006.]
Let X be an algebraic k-scheme of finite type with a cellular decomposition $$\{Z_{ij}\}$$ as defined by W. Fulton [(“Intersectio... | {} |
# Why is the kernel of a Convolutional layer a 4D-tensor and not a 3D one?
I am doing my final degree project on Convolutional Networks and trying to understand the explanation shown in Deep Learning book by Ian Goodfellow et al.
When defining convolution for 2D images, the expression is:
$$S(i,j) = (K*I)(i,j) = \su... | {} |
## Reading and writing files: the cctbx DataManager
Learn how to use the cctbx DataManager. It lets you read and write files that describe experimental data, models, restraints and so on. This tutorial shows how to set up the DataManager, and how to read and write information for models, maps and reflection informatio... | {} |
# What is torque SI unit?
Torque is measured in newton metres in SI units.
## What is the formula to calculate torque?
Measure the distance, r , between the pivot point and the point the force is applied. Determine the angle θ between the direction of the applied force and the vector between the point the force is a... | {} |
# Tic Tac Toe implementation in Ruby
Here's my first shot at implementing Tic Tac Toe in Ruby. After watching Gary Bernhardt's Functional Core, Imperative Shell, I thought this would be a great exercise in trying out the ideology presented in that screencast. Tear my code apart.
Link to GitHub repo (includes video of... | {} |
Commentary| Volume 5, ISSUE 8, P1905-1908, August 18, 2021
Ok
# A framework for a hydrogen economy
Open ArchivePublished:August 11, 2021
Arun Majumdar is the Jay Precourt Professor at Stanford University, a faculty in the Department of Mechanical Engineering, and a Senior Fellow and former Director of the Precourt I... | {} |
## Abstract
A recently proposed theory on frontal lobe functions claims that the prefrontal cortex, particularly its dorso-lateral aspect, is crucial in defining a set of responses suitable for a particular task, and biasing these for selection. This activity is carried out for virtually any kind of non-routine tasks,... | {} |
# Homework Help: Proof about primes
1. Jul 17, 2013
### cragar
1. The problem statement, all variables and given/known data
Prove that every prime of the form 4k+1 is a hypotenuse of a rectangular triangle with integer sides.
3. The attempt at a solution
I tried messing around with the Pythagorean theorem but not re... | {} |
# April Fools' Day Hoax: Fermat's Last Theorem
I read this answer to this question on MathOverflow, and I enjoyed reading the proof given in the linked paper, but... where is the mistake? I know nothing of the Mason-Stothers Theorem except its statement and truth, and the reasoning in the paper seems to be logically s... | {} |
# Force systems
Part of the Statics course offered by the Division of Applied Mechanics, School of Engineering and the Engineering and Technology Portal
## Lecture
Force is a component of dynamics, which describes the causes of motion. Dynamics is in turn part of Newtonian Mechanics in the large field of Physics. Fo... | {} |
# What is the constant term of the expansion of ((x-(2/x^2))^9?
${\left(x - \frac{2}{x} ^ 2\right)}^{9} = - \frac{512}{x} ^ 18 + \frac{2304}{x} ^ 15 - \frac{4608}{x} ^ 12 + {x}^{9} + \frac{5376}{x} ^ 9 - 18 {x}^{6} - \frac{4032}{x} ^ 6 + 144 {x}^{3} + \frac{2016}{x} ^ 3 - 672$
Hence the constant term is $- 672$ | {} |
#### Sentence Examples
• Obviously equimolecular surfaces are given by (Mv) 3, where M is the molecular weight of the substance, for equimolecular volumes are Mv, and corresponding surfaces the two-thirds power of this.
• Hence S may be replaced by (Mv) 3.
• Ramsay and Shields found from investigations of the temperat... | {} |
# Finding the unit vectors parallel to a tangent line
This is the solution to the problem. However, I dont understand how they got to the part that says "and the parallel vector is i+4j..". What does this mean and how did they derive that?
-
## 1 Answer
For any real number $m$, the vector $(1,m)$ determines a line ... | {} |
# Derivation of the Equation for Relativistic Mass
1. Jan 27, 2007
### NanakiXIII
Throughout pages on the internet I've seen the following relationship between rest mass and relativistic mass:
$$m = \frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}$$
However, I have been utterly unable to find any sort of derivation or explana... | {} |
## Thinking about Francis Su’s “Mathematics for Human Flourishing”
Francis Su:
What I hope to convince you of today is that the practice of mathematics cultivates virtues that help people flourish. These virtues serve you well no matter what profession you choose. And the movement towards virtue happens through bas... | {} |
TITLE
# Nuclear caloric curve. A systematic study
AUTHOR(S)
Imme´, G.; Raciti, G.; Riccobene, G.; Romano, F. P.; Sajia, A.; Sfienti, C.; Verde, G.; Giudice, N.
PUB. DATE
April 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 513 Issue 1, p290
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Investigations performed by the ALA... | {} |
# Closed-form solution to $y = \frac{\ln(a+x)}{\ln(b+x)}$?
I'm trying to solve the following equation for $\delta$:
$$-0.01 = \frac{\ln(1+\delta)}{\ln{\delta}}$$
And I found that while Wolfram Alpha and Mathematica can give me numerical estimates ($\delta = 0.034300977...$), they cannot give me a closed form solutio... | {} |
# D3D10 - How to set constant buffers for effects?
## Recommended Posts
Cycles 187
Hi, I'm having a bit of trouble getting constant buffers to work. I have grouped the variables together in my shader in a constant buffer, like so:
cbuffer Camera
{
matrix view, projection, world;
};
And I am using them like this:
... | {} |
# Transistor as an Amplifier
Transistor As An Amplifier
A transistor can be used for amplifying a weak signal.
When a transistor is to be operated as amplifier, three different basic circuit connections are possible.
These are (i) common base, (ii) common emitter and (iii) common collector circuits.
Whichever circuit... | {} |
# Tag Info
5
The article makes no sense. Einstein realized that matter was composed out of atoms, so the number of collisions of a Brownian particle with the surrounding molecule is finite in a finite period of time. However, for times $t$ much longer than the typical scale between the collisions, the particle moves ... | {} |
# How has mathematics been done historically? [Book Reference Request]
I know the original question title "what is the foundation of mathematics really?" seems pretty bad, or extremely bad, since it's really a huge question to answer. And I totally accept the fact that someone is going to disapprove this question.
Bu... | {} |
My Math Forum Mathetical Model of Cow herd size after n years
Applied Math Applied Math Forum
November 11th, 2014, 06:38 PM #1 Newbie Joined: Nov 2014 From: Baroda Posts: 1 Thanks: 0 Mathetical Model of Cow herd size after n years I am trying to figure out a formula (mathematical model) for cow herd size after n ... | {} |
## what a type system always proves vs. what it can be made to prove
It seems to me that PL theory focuses on type systems with respect to what they prove about all well-typed programs. It seems to me that PL theory does not focus on type systems with respect to what they can be made to prove about some well-typed pro... | {} |
# The following is a summary of all relevant transactions of Vicario Corporation since it was...
The following is a summary of all relevant transactions of Vicario Corporation since it was organized in 2010.
In 2010, 15,000 shares were authorized and 7,000 shares of common stock ($50 par value) were is- sued at a pri... | {} |
# show that
Question:
If $a=\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-\sqrt{2}}$ and $b=\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+\sqrt{2}}$, show that $3 a^{2}+4 a b-3 b^{2}=4+\frac{56}{3} \sqrt{10}$.
Solution:
According to question,
$a=\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-\sqrt{2}}$ and $b=\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+\sqrt{2... | {} |
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Original Article Journal of Korean Academy of Fundamentals of Nursing 1999;6(3): 477
일 지역 대학생의 피로와 건강증진 생활양식과의 관계분석 장희정 한림대학교 간호학과 The correlation analysis between fatigue and health promoting life style among a rural college students Hee-Jung Jang Department of Nursing ... | {} |
$$\require{cancel}$$
Any reader of this book will know that the solutions to the quadratic equation
$ax^2 + bx + c = 0 \label{1.3.1}$
are
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \label{1.3.2}$
and will have no difficulty in finding that the solutions to
$2.9x^2 - 4.7x + 1.7 = 0 \nonumber$
are
$x = 1.0758 \text{... | {} |
# Is this even or odd?
Note: There is not been a vanilla parity test challenge yet (There is a C/C++ one but that disallows the ability to use languages other than C/C++, and other non-vanilla ones are mostly closed too), So I am posting one.
Given a positive integer, output its parity (i.e. if the number is odd or e... | {} |
# IAEA inspection at the Institute for Safety Problems of NPP
Functioning of the ISP NPP of NAS of Ukraine is under the constant control of the Department for Nuclear Safety and Security of the International Atomic Energy Agency (IAEA).
From 6 to 7 September, 2017 by inspectors of Vienna International Center (IAEA) D... | {} |
# Superposition of discrete level and continuum: Electron bound and free [duplicate]
Superposition between discrete states of a system is widely considered in the literature, but this system, e.g., a $H$ atom, can also have a continuum in its energy spectrum.
Can the state of a system be in a superposition of an ener... | {} |
# How do you find the Vertical, Horizontal, and Oblique Asymptote given y = (x + 1)/(x - 1)?
Feb 7, 2017
The vertical asymptote is $x = 1$
The horizontal asymptote is $y = 1$
No oblique asymptote
#### Explanation:
As you cannot divide by $0$, $x \ne 1$
The vertical asymptote is $x = 1$
As the degree of the numera... | {} |
# I have an embedding $\iota$ between two Hilbert spaces and want to know if $\iota\iota^\ast$ is something simple like an orthogonal projection
I'm reading A Concise Course on Stochastic Partial Differential Equations. In Proposition 2.5.2 the authors define the notion of a cylindrical $Q$-Wiener process $W$. It turn... | {} |
## Differential and Integral Equations
### On positive solutions of quasilinear elliptic equations
#### Abstract
In 1981, Peter Hess established a multiplicity result for solutions of boundary-value problems for nonlinear perturbations of the Laplace operator. The sufficient conditions given were later shown to be a... | {} |
Looking online to seek Homework Help regarding the Big Ideas Math Grade 6 Advanced Ch 2 then you have come the right way. Don’t bother as we have compiled the best preparation resources for all of them here in detail. Make the most out of these study materials and stand out from the rest of the crowd. Download the BIM ... | {} |
# Hydrogen as a deisel engine additive
Discussion in 'Architecture & Engineering' started by kingcarrot, Feb 25, 2012.
1. ### Aqueous Idflat Earth skepticValued Senior Member
Messages:
6,152
Wow no kidding. This is why I think the mfr's are not pushing the envelope, presumably due to safety and reliability.
As for ... | {} |
# Tips on coding style
Published on February 28, 2012 by
Tagged:
Good programmers know that writing code is more than just… writing code. It’s more than writing efficient code… It’s also about writing good code with respect to the ones that are going to read and/or use that code. This is specially true in open source... | {} |
# Pauli Matrices and the Bloch Sphere¶
In [1]:
from qiskit import *
from qiskit.visualization import plot_bloch_vector
In this section we'll further develop the topics introduced in the last, and introduce a useful visualization of single-qubit states.
### Pauli matrices¶
Wherever there are vectors, matrices are n... | {} |
# On the accuracy and running time of GSAT
Randomized algorithms for deciding satisfiability were shown to be effective in solving problems with thousands of variables. However, these algorithms are not complete. That is, they provide no guarantee that a satisfying assignment, if one exists, will be found. Thus, when ... | {} |
Single Variable Calculus, Chapter 3, 3.8, Section 3.8, Problem 20
At what rate is the boat approachng the dock when it is 8m from the dock?
Illustration:
Required: $\displaystyle \frac{dx}{dt}$ when $x = 8m$
Solution:
By using Pythagorean Theorem we have,
$z^2 = 1^2 + x^2 \qquad$ Equation 1
taking the derivative... | {} |
# Wrong vertical spacing under roots
I have no clue why the left root is way too high compared to the right one, whilst they are identical. Is there a way to set the vertical spacing under the root ? Tried \vphantom, but this didn't do anything.
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\begin... | {} |
# 3.2.2 - Binomial Random Variables
3.2.2 - Binomial Random Variables
A binary variable is a variable that has two possible outcomes. For example, sex (male/female) or having a tattoo (yes/no) are both examples of a binary categorical variable.
A random variable can be transformed into a binary variable by defining ... | {} |
## Calculus (3rd Edition)
$-u$
Using the right hand rule, curl your right hand from $v$ to $w$ to get the direction of $v\times w$. Your thumb will point in the direction of $-u$. | {} |
# Synopsis: Planet Search Finds No Dark Matter Black Holes
Using data from a planet-hunting mission, scientists place new limits on a supposed population of black holes that could act as dark matter.
Dark matter remains such a mystery that we’re still unsure whether it’s made of microscopic particles or macroscopic b... | {} |
### Testing correctness: overview
There is considerable emphasis in the MCMC and SMC literatures on efficiency (in the computational sense of efficiency), but much less on correctness. Here we define correctness as follows: an MCMC procedure producing samples $$X_1, X_2, \dots$$ is correct if ergodic averages based an... | {} |
# OpenGL How to optimize scene rendering
## Recommended Posts
##### Share on other sites
Have you profiled to see where the bottleneck is? I love the debug info you have in your HUD, but that isn't really enough to go on. In particular, are you GPU bound or CPU bound (I would assume the former)?
First off, I am pret... | {} |
Definitions
# Hydrophilic-lipophilic balance
The Hydrophilic-lipophilic balance of a surfactant is a measure of the degree to which it is hydrophilic or lipophilic, determined by calculating values for the different regions of the molecule, as described by Griffin in 1949 and 1954. Other methods have been suggested, ... | {} |
# Comparing industrial robot arms [closed]
I'd like to study the capabilities of industrial robot arms. For example, to answer the question how does price vary with precision, speed, reach and strength?
Is there a database of industrial robot arms including information like the price, precision, speed, reach and stre... | {} |
# miscellaneous
After years' study in probability, I felt more and more happy with the construction of probability space, it's so simple seemingly but interesting that may be applied to many more areas rather than math.
Let’s review a little bit about the probability space in math. Given a space $(\Omega, \mathbb{F},... | {} |
I am using the "setspace" package to format my document with double spacing (requirement for an assignment). One of my section headers takes up two lines, though, and these section headers look better with single spacing. I went ahead and fixed it with the following.
Nunc venenatis nulla eu arcu pellentesque eu molest... | {} |
# How to Prepare for PRM Exam – Part I
This post is for students who are preparing for or planning to write the PRM exam.
Professional Risk Manger (PRM) Exam has become quite popular among the risk professionals and students and competes head-on with the respectable Financial Risk Manager (FRM) Exam from GARP. Even t... | {} |
## Standing Room Only
In 2012 the global fertility rate - births per woman - was 2.5, compared to 2.0 needed for a stable population, assuming no stillbirths, and that all babies born survived to have children themselves. This means that every couple produced 2.5 children and over the course of a generation the popula... | {} |
# Are ECDSA keys and RSA keys interchangeable?
Is it possible to use an ES512 key pair for RS512 signatures? Is it possible to use an RS512 key pair for ES512 signatures? I've also posted an issue in the NodeJS jwa package.
I created a key pair for EC512 with the following commands:
openssl ecparam -genkey -name sec... | {} |
## Trigonometry (11th Edition) Clone
Let $\theta$ be the angle in radians. Let $A$ be the area of the sector. Then the ratio of the angle $\theta$ to $2\pi$ is equal to the ratio of the sector area to the area of the whole circle. $\frac{\theta}{2\pi} = \frac{A}{\pi ~r^2}$ $A = \frac{\theta ~r^2}{2}$ Let the original ... | {} |
# Math Help - A sequence problem.
1. ## A sequence problem.
Hi, I think I have an idea on how to solve a sequence problem but I could be going badly wrong. To verify if I used the right method I will ask somebody to help me with this question from Multivariable Calculus 6th Edition by James Stewart.
You have to find... | {} |
# Approximate a convolution as a sum of separable convolutions
I want to compute the discrete convolution of two 3D arrays: $A(i, j, k) \ast B(i, j, k)$
Is there a general way to decompose the array $A$ into a sum of a small number of separable arrays? That is:
$A(i, j, k) = \sum_m X_m(i) \times Y_i(j) \times Z_i(k)... | {} |
# 22.2 Breadth-first search
## 22.2-1
Show the $d$ and $\pi$ values that result from running breadth-first search on the directed graph of Figure 22.2(a), using vertex $3$ as the source.
$$\begin{array}{c|cccccc} \text{vertex} & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline d & \infty & 3 & 0 & 2 & 1 & 1 \\ \pi & \text{NIL} & 4 &... | {} |
## Introductory Statistics 9th Edition
a. $69C_5$+26 = 11238539 P(winning the jackpot) = $\frac{1}{11238539}$ = 0.00000008897 b. a. $69C_5$ = 11238513 P(winning the jackpot) = $\frac{1}{11238513}$ = 0.00000008897 | {} |
# How to prove that $\mathrm{var}(X-E(X|Y)) \leq \mathrm{var}(X)$?
I tried to solve this exercise but got stuck: Assume we have the random variables $X$ and $Y$ where $E(X) = 0$. How can we prove the following inequality $\operatorname{Var} (X-E(X|Y)) \leq\operatorname{Var}(X)$?
I tried to write out the rhs: $\operat... | {} |
# History of Electromagnetic Field Tensor
I'm curious to learn how people discovered that electric and magnetic fields could be nicely put into one simple tensor.
It's clear that the tensor provides many beautiful simplifications to the original theory, by applying the abstract theory of tensors to this particular pr... | {} |
# Heat Capacity of a Calorimeter
In calorimetry it is often desirable to know the heat capacity of the calorimeter itself rather than the heat capacity of the entire calorimeter system (calorimeter and water). The heat (q) released by a reaction or process is absorbed by the calorimeter and any substances in the calor... | {} |
# How do you solve the following system: -3y + x = -3, -5x − y = 14 ?
May 15, 2018
#### Answer:
color(green)(x= -2(13/16), y = 1/16
#### Explanation:
$x - 3 y = - 3$, Eqn (1)
$- 5 x - y = 14$, Eqn (2)#
5 * Eqn(1) + Eqn (2) is
$5 x - 15 y - 5 x - y = - 15 + 14$
$- 16 y = - 1$
$y = \frac{1}{16}$
Substituting v... | {} |
### Author Guidelines
TEXT: Booq Antiqua should be written in 10 font size. It should not exceed 20 pages apart from scanning articles including references and figures.
TITTLE: The title of the manuscript should be written with the first letters of the manuscript. The title should be short and clear. The first letter... | {} |
# Quantum tunneling. Probability of transmission
A) Consider a particle incident left to right on a barrier potential, as in the figure. What is the particle’s wave- function if its energy is $E > V_o$? And if $E < V_o$? You do not need to complete the full calculation, but explain in detail how you would get to the r... | {} |
Blackwell optimality in Markov decision processes with partial observation - Archive ouverte HAL Access content directly
Journal Articles Annals of Statistics Year : 2002
Blackwell optimality in Markov decision processes with partial observation
(1) , (2) , (3)
1
2
3
Dinah Rosenberg
• Function : Author
• PersonId : 8... | {} |
# Extension : Extension 2.1: Image Processor With Iteration
Authors
## Manipulating an Image Raster
In the imagetransforms package, modify the provided Transforms Java program to implement the methods as described below. Your methods will use iteration (either while loops or for loops) to operate on the pixels of a ... | {} |
Home > worlds > A quarter-million dollar world
## A quarter-million dollar world
February 2nd, 2011
Image Source.
The Kepler Candidates were just announced! My immediate sensation at seeing a copy of the associated paper is not unlike those cheesy contests where you’re allowed 60 seconds in a grocery store to grab ... | {} |
# Can we perform pause operation while replaying .wav file in ltspice?
#### santlal
Joined Jan 14, 2020
19
I have recorded a node voltage value in a .wav file using LTSPICE simulator. While replaying the recorded signal values, I want a pause of 5 millisecond after every 10millisecond. How can I perform it in ltspice... | {} |
# Emulating distance on Poincaré disk for different curvatures
The distance $$d_K^H(x,y)$$ between two points on the hyperboloid $$H_K$$ with curvature $$K<0$$ can be emulated on the distance $$d_{-1}(x,y)$$ of the hyperboloid $$H_{-1}$$ of curvature ($$K=-1$$) as follows: $$d_K^H(x,y)=R\cdot d_{-1}^H(x/R,y/R)$$ where... | {} |
# AS Mathematics - Core 1 - Indices Problems
1. Oct 30, 2011
### novamatt
I am struggling with my mathematics indices homework. I think I have some correct answers so far but I'm pretty stumpted on some others. How would I go about solving the following equations.
1. The problem statement, all variables and given/k... | {} |
# 07.2 Set Up 4 PointsSet up, but do not compute, the integral SS cos(z2 + y2) dA using polc ar
###### Question:
07.2 Set Up 4 Points Set up, but do not compute, the integral SS cos(z2 + y2) dA using polc ar coordinates: Upload your answer here: Please select file(s) Select file(s)
#### Similar Solved Questions
###... | {} |
# Homework 1
Due: Wednesday 2020-01-29 at 11:59pm
# Getting started
• Go to the course organization on GitHub: https://github.com/sta-363-s20.
• Find the repo starting with hw-01 and that has your team name at the end (this should be the only hw-01 repo available to you).
• In the repo, click on the green Clone or... | {} |
How do you solve -4=1/2x+3?
$x = - 14$
$- 4 = \frac{1}{2} x + 3$
$\textcolor{w h i t e}{\text{XXXXX}}$$\Rightarrow - 7 = \frac{1}{2} x$
$\textcolor{w h i t e}{\text{XXXXX}}$$\Rightarrow - 14 = x$ | {} |
IACR News
Updates on the COVID-19 situation are on the Announcement channel.
Here you can see all recent updates to the IACR webpage. These updates are also available:
24 March 2020
London, United Kingdom, 21 May 2020
Event Calendar
Event date: 21 May 2020
22 March 2020
Estuardo Alpirez Bock, Alexander Treff
ePri... | {} |
# Pygame version of my 3D Tic Tac Toe/Connect 4
I posted a question a while back asking for some feedback on the code of a game I made (it was limited to typing the input and drawing the output in ASCII).
Now I've got it linked up with pygamef. Does anything look out of place? Do you notice any bugs? Do the colours w... | {} |
# Can I express any odd number with a power of two minus a prime?
I have been running a computer program trying to see if I can represent any odd number in the form of
$$2^a - b$$
With b as a prime number. I have seen an earlier proof about Cohen and Selfridge regarding odd numbers that are nether a sum or a differe... | {} |
# For the love of God somebody save me!
1. Feb 28, 2007
### shwanky
Ok, so it's my first semester of Calculus and I'm completely lost. My professor is this old Korean guy who doesn't speak English and I'm in desperate need of some understanding.
1. |X| = {x if x >= 0 and -x if x <0
lim x->a |X| Does not exists.
My... | {} |
# Fixed Point in Python
PythonServer Side ProgrammingProgramming
Suppose we have an array A of unique integers sorted in ascending order, we have to return the smallest index i that satisfies A[i] == i. Return -1 if no such i exists. So if the array is like [-10,-5,0,3,7], then the output will be 3, as A[3] = 3 the o... | {} |
## Can a 'free' Bitcoin 'marketing' ad be checked in any way
0
Total Bitcoin newbie here. I have no bitc, nor a wallet, nor am I sure I want one. I've been intrigued for a while, but security is a big passion of mine...
Today just now youtube pointed me to an interesting lecture by Bill Gates and others. [1] Apparen... | {} |
# zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... | {} |
# Pipeline Parameter
Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers
Pipeline parameter, abbreviated as $$\rho$$, a dimensionless number, is proportional to maximum water hammer pressure rise and static pressure.
## Pipeline Parameter formula
$$\large{ \rho = \frac {v\;v_i} {2\;g\;h_s} }$$
Symbol Eng... | {} |
## 9.15 Normal extensions
Let $P \in F[x]$ be a nonconstant polynomial over a field $F$. We say $P$ splits completely into linear factors over $F$ or splits completely over $F$ if there exist $c \in F^*$, $n \geq 1$, $\alpha _1, \ldots , \alpha _ n \in F$ such that
$P = c(x - \alpha _1) \ldots (x - \alpha _ n)$
in ... | {} |
What is the correct answer?
4
# Demand is elastic when the coefficient of elasticity is:
greater than zero
less than one
greater than one
less than one | {} |
• Create Account
### #ActualKhatharr
Posted 31 January 2013 - 05:07 AM
If you have a zbuffer (aka depth buffer) then whenever you render something the following steps are taken on a per-pixel basis:
new_z = //z value for this pixel based on what you're rendering
depth_z = //z value for that pixel in the zbuffer
if(... | {} |
# Applying Econometrics to Monetary Economics
I've been given a problem in which I am told that GDP is a function of the supply of money, prices and demand,
$$Y = (M/P)^\delta$$
Taking logs, $$\log(Y) = \alpha + \beta \log(m - p) +u$$
Differencing the series with constant prices, $$\Delta \log(Y) = \alpha + \Delta ... | {} |
# In what ratio is the line segment joining the point (−2, −3) and (3, 7) divided by y-axis ?
1. (2 : 3)
2. (3 : 0)
3. (−2 : 3)
4. (6 : 0)
## Answer (Detailed Solution Below)
Option 1 : (2 : 3)
## Detailed Solution
Concept:
Let P and Q be the given two points (x1, y1) and (x2, y2) respectively, and M be the point... | {} |
# Geometry and Topology Seminar
## Warwick Mathematics Institute, Term II, 2016-2017
Thursday January 19, 16:00, room B3.02 Dusa McDuff (Columbia) Symplectic topology today Colloquium: This talk will explain the basics of symplectic topology for a nonspecialist audience, outlining some of the classical results as w... | {} |
# Non Recursively Enumerable Languages
Can someone give me an example of Non Recursively Enumerable language... i.e. A language which no Turing machine can accept ? What makes a language non recursively enumerable ?
• I recommend looking an online lecture notes on computability theory. Jan 31 '16 at 9:18
• This is a ... | {} |
# Upon reflection
Geometry Level pending
Let $$y=ax+b$$ be the reflection of the line $$\ x+2y-4=0\$$ in $$\ x-y-2=0$$. What is the value of $$a+b$$?
× | {} |
# Lahar
## February 20, 2007
### Fun with LaTeX. No, not that kind of Latex.
Filed under: Math,Uncategorized — by lahar @ 6:26 am
WordPress News: Math for the Masses
Awesome! We can have something simple, like the QG PV equation:
$\nabla^2 \phi = q$
where $\phi$ is the QG geopotential height and $q$ is the QG po... | {} |
## Solution to Problem 142 Pressure Vessel
Problem 142
A pipe carrying steam at 3.5 MPa has an outside diameter of 450 mm and a wall thickness of 10 mm. A gasket is inserted between the flange at one end of the pipe and a flat plate used to cap the end. How many 40-mm-diameter bolts must be used to hold the cap on if ... | {} |
Math Help - Cont. Proof
1. Cont. Proof
prove if $f,g$ are cont. on $[a,b]$, if $f(a) < g(a), f(b) > g(b)$, then there is a $c \in [a,b]$ s.t. $f(c) = g(c)$.
Ok so I believe I need to prove this using the Intermediate Value Thm. Do I need to apply the IVT to f - g? If that's even a correct approach, how do I begin to... | {} |
# LHC: why proton-proton?
1. Dec 29, 2009
### wpoely
Hi,
I was wondering: why is the LHC a proton-proton collider and not a proton-antiproton collider? Has it a theoretical reasons or is it just for practical reasons?
Thanks,
Ward
2. Dec 29, 2009
### hamster143
At those energies, there's not much difference sc... | {} |
# Find a specific Substring
I'm writing a little Downloader that will look through directories online and download the content. The first prototype of my program is a success, now I just want to refine it and learn some more C#. The task is this:
Take this string:
http://example.free.pl/plus%20violent/Dark%20The%20S... | {} |
## The future: much like the present
In cosmology, the steady-state universe describes a model for which the universe is neither expanding nor contracting, but, as the name suggests, remains the same size (in terms of its geometric boundary). However, this has long been ruled out by radio telescope data, which show th... | {} |
# Looking for a proof of an interesting identity
Working on a problem I have encountered an interesting identity:
$$\sum_{k=0}^\infty \left(\frac{x}{2}\right)^{n+2k}\binom{n+2k}{k} =\frac{1}{\sqrt{1-x^2}}\left(\frac{1-\sqrt{1-x^2}}{x}\right)^n,$$ where $n$ is a non-negative integer number and $x$ is a real number wit... | {} |
# Tech Reports
## ULCS-13-004
### A resolution-based calculus for Coalition Logic (Extended Version)
Cláudia Nalon, Lan Zhang, Clare Dixon, and Ullrich Hustadt
### Abstract
We present a resolution-based calculus for the Coalition Logic CL, a non-normal modal logic used for reasoning about cooperative agency. We pr... | {} |
# Determine whether the functions are linearly independent at the interval $I$. (In the context of differential equations)
So, here are two functions $$x_1(t)=\cos(2t)-1 \text{ and } x_2(t)=\sin^2(t), I = R$$. $$C_1x_1(t)+C_2x_2(t)=0$$
Here I am stuck, because I try to find the values of $$t$$ such that I can express... | {} |
# Value Engineering MCQ Quiz - Objective Question with Answer for Value Engineering - Download Free PDF
Last updated on Nov 2, 2022
## Latest Value Engineering MCQ Objective Questions
#### Value Engineering Question 1:
In value engineering approach, the value of the product is
1. Inversely proportional to its func... | {} |
# Schnorr signature
In cryptography, a Schnorr signature is a digital signature produced by the Schnorr signature algorithm. Its security is based on the intractability of certain discrete logarithm problems. The Schnorr signature is considered the simplest[1] digital signature scheme to be provably secure in a random... | {} |
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# Mass is the amount of substance, what's Electromagnetic Mass?
We usually learn mass is the amount of the substance contained in it. But who might have guessed then that it was just one side of the story. That was just "mechanical mass"! There is one more type namely Electromagnetic Mass. It is all because computa... | {} |
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