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New Zealand
Level 6 - NCEA Level 1
Energy of Consumption
Interactive practice questions
Use the fact that $1$1 kWh = $3.6\times10^6$3.6×106 J to calculate how many joules $4$4 kWh is equal to.
Easy
Approx 2 minutes
Use the fact that $1$1 kWh = $3.6\times10^6$3.6×106 J to calculate how many joules $104.23$104.23 kW... | |
## Two applications of Schur’s lemma
Posted: July 11, 2010 in Noncommutative Ring Theory Notes, Ring of Endomorphisms
Tags: , ,
Let $k$ be an algebraically closed field, $A$ a $k$ algebra and $V$ a simple $A$ module with $\dim_k V < \infty.$ We know, by Schur’s lemma, that every element of $D = \text{End}_A(V)$ is in... | |
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# Position of particle as a function of time is given as vec r=cos wt hati+sin wt hatj . Choose correct statement about vecr,vec v and vec a where vec v and vec a are velocity and acceleration of particle at time t... | |
## The Dynamics of Viscous Fibers
• This work deals with the mathematical modeling and numerical simulation of the dynamics of a curved inertial viscous Newtonian fiber, which is practically applicable to the description of centrifugal spinning processes of glass wool. Neglecting surface tension and temperature depend... | |
## Tipping Points in Climate Systems
4 March, 2013
If you’ve just recently gotten a PhD, you can get paid to spend a week this summer studying tipping points in climate systems!
They’re having a program on this at ICERM: the Institute for Computational and Experimental Research in Mathematics, in Providence, Rhode I... | |
# What is the intuition behind a function that is not continuous at a point but its partial derivatives at that point exist?
I can't really understand how can the partial derivatives of a function exist at a point where the function is not continuous.
For example, say we have a function f(x,y) that has domain all of R... | |
# 2. Solve the following trigonometric equations for the given regions_ sin? (r) + 3sin(r) = -2 { <I<t sin(0) cos(20),
###### Question:
2. Solve the following trigonometric equations for the given regions_ sin? (r) + 3sin(r) = -2 { <I<t sin(0) cos(20), 0 < 0 < 2t 2 cos(~) + 3tan(z) = 0, {<I <
#### Similar Solved Qu... | |
Browse Questions
# If $\;(2 + \large\frac{x}{3})^{55}\;$ is expanded in the ascending powers of x in two consecutive terms of the expansion are equal , then these terms are :
$(a)\;7^{th}\;and\;8^{th} \qquad(b)\;8^{th}\;and\;9^{th}\qquad(c)\;28^{th}\;and\;29^{th}\qquad(d)\;27^{th}\;and\;28^{th}$ | |
# How do you write an equation for a circle with center (-2,5) and radius of 5?
Jan 28, 2016
${x}^{2} + {y}^{2} + 4 x - 10 y + 4 = 0$
#### Explanation:
suppose,
the equation is,
${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$
here,
$h = - 2$
$k = 5$
$r = 5$
so, the equation is,
${\left(x + 2\right)}... | |
BLAST parallelisation best practices
2
0
Entering edit mode
10 months ago
Hi All,
I'm trying to speed up a BLASTP call as part of a bigger RBH workflow to detect orthologs, and I'm in the process of testing different approaches with a 100K sequence database and a 1107 sequence query (real database will be 350K, queri... | |
# Simple and effective coin segmentation using Python and OpenCV
The new generation of OpenCV bindings for Python is getting better and better with the hard work of the community. The new bindings, called “cv2” are the replacement of the old “cv” bindings; in this new generation of bindings, almost all operations retu... | |
In 5210, we learned some standard library functions for reading in data, including read.csv and read.table. We also have a number of libraries/data formats supported by R Studio:
• tibble. A re-imagining of the data frame, that keeps “what time has proven to be effective”. see https://r4ds.had.co.nz/tibbles.html
• re... | |
# Deutsch-Jozsa Algorithm¶
The Deutsch-Jozsa algorithm was the first to show a separation between the quantum and classical difficulty of a problem. This algorithm demonstrates the significance of allowing quantum amplitudes to take both positive and negative values, as opposed to classical probabilities that are alwa... | |
Visual Diary
ongoing
/ongoing/
These are a series of ongoing explorations that serves as much as a visual diary. The mind is constantly reshaping the way one thinks and as such there are bound to be lies here and there but these are my truth; as close as I can get to them.
# /ongoing/ These are a series of ongoing ex... | |
Tech Topics
# Distributed Tracing, OpenTracing and Elastic APM
## The World of Microservices
Enterprises are increasingly adopting microservice architectures. They are developing and deploying more microservices everyday. Often, these services are developed in different programming languages, deployed into separate ... | |
Learn about the process of identifying and eliminating noise in data capture.
In the previous articles, I discussed mechanical considerations, schematic design, PCB layout, and Firmware.
One of the greatest anxieties of designing a custom PCB is the testing phase.
I designed a precision inclinometer subsystem and re... | |
Bug 103395 - [9/10/11/12/13 Regression] ICE on qemu in arm create_fix_barrier
[9/10/11/12/13 Regression] ICE on qemu in arm create_fix_barrier
Status: NEW None gcc Unclassified target (show other bugs) 12.0 P2 normal 9.5 Not yet assigned to anyone ice-on-valid-code
Reported: 2021-11-23 19:32 UTC by Jakub Jelinek 202... | |
## LSU Doctoral Dissertations
#### Title
Excluding a Weakly 4-connected Minor
#### Identifier
etd-04042016-220803
#### Degree
Doctor of Philosophy (PhD)
Mathematics
Dissertation
#### Abstract
A 3-connected graph $G$ is called weakly 4-connected if min $(|E(G_1)|, |E(G_2)|) \leq 4$ holds for all 3-separations ... | |
## Lecture 32. The Malliavin derivative
The next Lectures will be devoted to the study of the problem of the existence of a density for solutions of stochastic differential equations. The basic tool to study such questions is the so-called Malliavin calculus.
Let us consider a filtered probability space $(\Omega, (\m... | |
## Prime Fibonacci prime > 3 expressed as the sum of two squares of distinct Fibonacci numbers
Can you prove that any prime Fibonacci prime > 3 can be expressed as the sum of two squares of distinct Fibonacci numbers?
the first few examples:
$F_5 \; = \; 5 \; = \; 1^2 \; + \; 2^2 \; = \; F^2_2 \; + \; F^2_3$
$F_7 \... | |
Dissemination of IT for the Promotion of Materials Science (DoITPoMS)
# Questions
### Quick questions
You should be able to answer these questions without too much difficulty after studying this TLP. If not, then you should go through it again!
1. Which of the following materials has the highest Coefficient of Ther... | |
# What are the problems in trying to interpret the Klein-Gordon equation as a single particle equation?
What is the problem if we try to interpret KG equation as a single particle equation? Also I wish to know whether the born interpretation of wavefunction is applicable in relativistic quantum mechanics.
-
If you t... | |
Yes, I know. I should’ve posted something on the 27th. I didn’t forget about my loyal readers, but I had to write a paper for school. And since I won’t have time to write something original (Let’s learn together: AI #2) until january, I thought I could share the paper I worked on with you. | |
# Trig Identity Homework due 5-7-14 (MRS22-3) or 5-8-14 (MRS22-1)
Prove each identity.
1. $\frac{\cot\theta}{\csc\theta}=\cos\theta$
2. $\cos^{2}x\tan^{2}x=\sin^{2}x$
3. $\frac{1-\sin^{2}\beta}{\cos\beta}=\cos\beta$
4. $\frac{\tan^{2}\alpha+1}{\sec\alpha}=\sec\alpha$
5. $1-\csc{x}\sin^{3}x=\cos^{2}x$
6. $\cos^{2... | |
# I having trouble with some notation in algebraic topology.
The statement of my problem:
If $f:(X,A)\to(Y,B)$ is a homotopy equivalence of pairs, then so is the induced map $\hat{f}:(X/A, *)\to (Y/B, *)$.
I'm confused on what the star stands for? I think with that I can infer how the induced map works.
So If I hav... | |
# Question #4a240
${V}_{2} \cong 40 \cdot L$
$\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$
All temperature is reported on the $\text{Absolute scale}$; for $\text{pressure}$ we use the relationship $760$ $m m$ $H g$ $\equiv$ $1 \cdot a t m .$
${V}_{2} = {T}_{2} / \left({P}_{2}\right) \times \frac{{P}_... | |
# Math Help - Finding Sample size? (Normal Distribution)
1. ## Finding Sample size? (Normal Distribution)
I'm not really sure what to name this, and im pretty sure it belongs here, im sorry if it doesnt.
Question
The number of loaves of white bread demanded daily at a bakery is normally distributed with mean 6800 l... | |
# Big-list of classical facts
When we type an answer, we need sometimes classical facts, which will be long to expand and are well-known.
For example, a bounded measurable function can be approached uniformly by simple functions, or the fact that convergence in $L^p$ implies convergence almost everywhere of a sub-seq... | |
# Assume that Sivart Corporation has 2019 taxable income of $1,750,000 for purposes of computing the §179... ###### Question: Assume that Sivart Corporation has 2019 taxable income of$1,750,000 for purposes of computing the §179 expense and acquired several assets during the year. Assume the delivery truck does not qua... | |
# Unbiased estimator
by happyg1
Tags: estimator, unbiased
P: 308 Hi, I'm working on the following problem and I need some clarification: Suppose that a sample is drawn from a $$N(\mu,\sigma^2)$$ distribution. Recall that $$\frac{(n-1)S^2}{\sigma^2}$$ has a $$\chi^2$$ distribution. Use theorem 3.3.1 to determine an un... | |
# Submultiplicity of Operator Norm
## Theorem
Let $H, K$ be Hilbert spaces, and let $A: H \to K$ be a bounded linear transformation.
Let $\norm A$ denote the norm of $A$ defined by:
$\norm A = \inf \set {c > 0: \forall h \in H: \norm {A h}_K \le c \norm h_H}$
Then:
$\forall h \in H: \norm {Ah}_K \le \norm A \norm... | |
# Chapter 5 - Review Exercises: 49
$x=\left\{ -2,0,2 \right\}$
#### Work Step by Step
$\bf{\text{Solution Outline:}}$ To solve the given equation, $-x^3-3x^2+4x+12=0 ,$ express it first in factored form. Then equate each factor to zero using the Zero Product Property. Finally, solve each resulting equation. $\bf{\te... | |
# duration for a signal after filtering [duplicate]
I have a signal $$s(t)$$ of duration $$T$$. This signal doesn't have a limited bandwidth. To solve this problem, I filter it with a pulse shaping filter (raised cosine filter).
My question: Does filtering change the duration of the signal? | |
# Gravity with Zero Distance
## Main Question or Discussion Point
If the separation between two objects (say, me and my chair) is zero, shouldn't the gravitational force between those two objects be infinite because in the equation for force you divide by r?
And I understand that the centers of my atoms are not lite... | |
# DAVIDSTUTZ
02ndOCTOBER2019
Luis Muñoz-González, Battista Biggio, Ambra Demontis, Andrea Paudice, Vasin Wongrassamee, Emil C. Lupu, Fabio Roli. Towards Poisoning of Deep Learning Algorithms with Back-gradient Optimization. AISec@CCS 2017.
Munoz-Gonzalez et al. propose a multi-class data poisening attack against dee... | |
# example of paracompact topological spaces
## 0.1 Paracompact space examples
Locally compact Hausdorff spaces that are also $\sigma$-compact (http://planetmath.org/AlternativeDefinitionOfSigmaFiniteMeasure) can be shown to be paracompact, and, therefore, also normal. Other particular cases of paracompact spaces are ... | |
## Tuesday, October 20, 2015
### Deriving the Product Formula: The Easy Way
Recall from this post that: $\sum_{n=1}^{\infty} \frac{1}{x^2+n^2}=\frac{\pi}{2x} \coth(\pi x)-\frac{1}{2x^2}$ We then substitute $x=i z$: $\sum_{n=1}^{\infty} \frac{1}{n^2-z^2}=-\frac{\pi}{2z} \cot(\pi z)+\frac{1}{2z^2}$ We then go down the ... | |
# Transport phenomena in micro- and nanoscales
Transport phenomena at dimensions between 1 and 100 μm are different from those at larger scales. At these scales, phenomena that are negligible at larger scales become dominant, but the macroscopic transport theory is still valid. One example of these phenomena in multip... | |
2013
12-26
# Flipping Burned Pancakes
The cook at the Frobbozz Magic Pancake House sometimes falls asleep on the job while cooking pancakes. As a result, one side of a stack of pancakes is often burned. Clearly, it is bad business to serve visibly burned pancakes to the patrons. Before serving, the waitress will arra... | |
# Properties
Label 3.2.ac_h_ai Base Field $\F_{2}$ Dimension $3$ $p$-rank $2$ Does not contain a Jacobian
## Invariants
Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}$ Frobenius angles: $\pm0.384973271919$, $\pm0.384973271919$, $\pm0.5$ Angle rank: $1$ (numerical)
## ... | |
# What can be a good equation to encode a natural number to bigger, visually random natural number and decode it back?
I need to visually encrypt (make the information uninterpretable by a non-prepared human) a natural number (known to be below some x) representing it as a much bigger, seemingly (for an unprepared obs... | |
# Eigenvectors of $\begin{bmatrix}a&-b\\b&a\end{bmatrix}$
I am currently confused as to what the correct eigenvectors are for $\begin{bmatrix}a&-b\\b&a\end{bmatrix}$.
I confirmed through my own calculations that the eigenvalues are a$\pm$bi. My textbook, Linear Algebra and its Applications, states that the correspond... | |
# Is $\varnothing$ an affine variety with these definitions?
A topological space $X$ is called reducible if $X=X_1 \cup X_2$ where $X_1, X_2$ are non-empty, proper subsets of $X$ and closed.
An irreducible algebraic set in $\mathbb{A}^n$ is called an affine variety.
$\varnothing = Z(1)$, so $\varnothing$ is an algeb... | |
# Algorithm for Removing Inverted Elements from a Permutation
I currently have a problem, whose solution requires to remove from a permutation of $\lbrace 1,\ \dots,\ n\rbrace$ those values that are to the left of a smaller one.
My idea was to remove the complement of the longest increasing subsequence, but am not qu... | |
# 二、系统编译类型
## 2.1 使用编译类型
You will never know how excellent you are unless you impel yourself once.
When you don't call others a bigwig or a guru, you have made a lot of progress! | |
# How to calculate <munder> <mo movablelimits="true" form="prefix">lim <mrow class="MJX-TeX
How to calculate $\underset{x\to 1}{lim}\frac{\left({x}^{2}-3x+2\right)}{\left(x-1\right)\left({x}^{3}-1\right)}$
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve your pro... | |
# Qm problem
1. Dec 6, 2007
### ehrenfest
1. The problem statement, all variables and given/known data
I am working on 6.16 at the following site:
http://mikef.org/files/phys_4241_hw14.pdf
I think that the solution given is given is wrong. I can get part a), however, I am just getting stuck on part b). So, the wav... | |
# #7: The Visible Grid Point Problem
Here is a difficult probability question:
Suppose you are standing on an infinitely large square grid at the point (0,0), and suppose that you can see infinitely far but cannot see through grid points. Given a random grid point z = (x,y), where x and y are integers, what is the ch... | |
# Iteratively Replacing Substrings
This problem came up while I was helping someone. Informally, we have a string of characters and a "rule" which replaces a specific string with another one, and we repeat this rule until we can no longer do so (obviously if you replace a string with another which contains the first a... | |
My Math Forum Automata question
Computer Science Computer Science Forum
December 12th, 2015, 01:57 AM #1 Member Joined: Mar 2015 From: USA Posts: 34 Thanks: 1 Automata question The question: Let it be $L$ a regular language. few definitions: $p(L)$-the minimal natural number so that $L$ fulfill the pumping lemma.... | |
• 区域发展 •
### 基于改进模糊Borda法的中亚农业投资环境组合评价分析
1. 新疆农业大学经济与贸易学院, 新疆乌鲁木齐 830052
• 收稿日期:2015-01-17 修回日期:2015-05-02 出版日期:2015-09-25
• 通讯作者: 马惠兰(1962-),女,教授,博士生导师,主要研究方向:农业经济、区域经济.Email:mhl2020@sina.com E-mail:mhl2020@sina.com
• 作者简介:汪晶晶(1988-),男,安徽黄山人,新疆农业大学博士研究生,研究方向:投资与管理.Email:499854745@qq.com
• 基金资助:
国家国际科技合作计划项目(2010DFA... | |
# Inverting a colormap in pgfplots
I am trying to obtain an inverted version of a given colormap to use in the colorbar of a plot.
The code below achieves this specifically for the blackwhite colormap. However, I was looking for a more general method which would only require the name of the colormap to be inverted.
... | |
Percentage difference tells us at what extent any reference value differs from the measured value in percentage. It gives the difference between the two numbers given divided by their averages.The percentage difference is given by
Percentage difference = $\frac{Reference\ Number - Relative\ Number}{\frac{Reference\ Num... | |
# Re: [HM] Malfatti's problem
Subject: Re: [HM] Malfatti's problem
From: Antreas P. Hatzipolakis (xpolakis@otenet.gr)
Date: Thu Mar 23 2000 - 03:58:08 EST
[Kotera Hiroshi]
>
> In 1803, G.F.Malfatti proposed the problem of cutting three right
> circular cylinders and of maximum total volume from a given right
> triang... | |
Mechanics problem: a ball rolling off the edge of a table
1. Mar 17, 2005
ribod
I'm requesting help for a physics problem I have made up.
Let's say we put a ball on the edge of a table, with the center of the ball being a teeny weeny bit outside the edge of the table. In other words, if we have a coordinate system,... | |
# Linux background changing daemon in Rust
I'm working on a program that updates the background of an x11 desktop at a specified interval. However, it eats large amounts of my CPU just sitting idle. I know this is due to the main loop running faster than I want it to. I've used a couple shameful hacks to quell usage d... | |
# State rent
This article discusses state rent, in particular, state rent with asynchronous garbage collection. Compared with traditional state rent with deterministic garbage collection, asynchrony allows more predictable block processing performance estimation, and freer node implementations.
## Special thanks
The... | |
# How are censorings before the first event dealt with in survival analysis
If you have a dataset, sorted into ascending order by survival time (minimum of censoring and event time), and this dataset contains at least one censoring before the first event (so that the start of the censoring indicator looks similar to 0... | |
# Is the deceleration of a body coming to rest due to friction completely smooth right up to the end?
Referring to the (empirical) laws of (dry) friction from Wikipedia it would appear that the deceleration is constant until the speed is zero.
"Coulomb's Law of Friction: Kinetic friction is independent of the sliding... | |
# More accurate acceleration
1. Mar 17, 2004
### salamander
Hi! I'm quite new here, and I'm not sure wheter this is to go here or in the math section, so I'll just post it here since i guess nobody really care anyway.
I've been thinking of this for a while, but I can't seem to get it right. (I'm not that good at ma... | |
AST_DELFITS
Delete the current FITS card in a FitsChan
Description:
This routine deletes the current FITS card from a FitsChan. The current card may be selected using the Card attribute (if its index is known) or by using AST_FINDFITS (if only the FITS keyword is known).
After deletion, the following card becomes t... | |
# Proof of Definite Integral
Let’s assume that $f$ is continuous and positive on the interval $[a, b]$. Then the definite integral $\int^b_a f(x) dx$ represents the area of the region bounded by the graph of $f$ and the x-axis, from x = a to x = b. First, we partition the interval $[a, b]$ into n subintervals, each of... | |
## Encyclopedia > Tilde
Article Content
# Tilde
A tilde is a diacritic mark (~) put over a letter (usually a vowel) to indicate nasalization. For example, in Portuguese, ã and õ are nasalized a and o. In Spanish, tilde over n (ñ) is a separate letter (called eñe) and is a palatal [n] (SAMPA J, IPA [ɲ]), pronounced l... | |
2019 CMS Winter Meeting
Toronto, December 6 - 9, 2019
Complex Analysis and Operator Theory
Org: Ilia Binder (University of Toronto), Damir Kinzebulatov (Université Laval) and Javad Mashreghi (Université Laval)
[PDF]
IEVGEN BILOKOPYTOV, University of Manitoba
Maximum modulus principle for multipliers [PDF]
In this ... | |
Contact
Description
The Contact block can be used to specify parameters related to mechanical contact enforcement in MOOSE simulations. The ContactAction is associated with this input block, and is the class that performs the associated model setup tasks. Use of the ContactAction is not strictly required, but it grea... | |
# Canonical question for two masses falling in Newtonian gravity
Some variation of this question gets asked a lot:
We have 2 point masses, $m$ and $M$ in a perfect world separated by radius $r$. Starting from rest, they both begin to accelerate towards each other. So we have the gravitational force between them as:
... | |
Mathwizurd.com is created by David Witten, a mathematics and computer science student at Vanderbilt University. For more information, see the "About" page.
# Parametric Functions
MathJax TeX Test Page If you had this set of equations: $x = \cos{t}$, and $y = \sin{t}$, and you want to find the area of that ste of para... | |
Find all School-related info fast with the new School-Specific MBA Forum
It is currently 25 Oct 2016, 18:01
### 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.
C... | |
## Section: New Results
### Static Analysis and Abstract Interpretation
Participants : Alain Girault, Bertrand Jeannet [contact person] , Lies Lakhdar-Chaouch, Peter Schrammel, Pascal Sotin.
#### Numerical and logico-numerical abstract acceleration
Acceleration methods are used for computing precisely the effects o... | |
# Functors¶
Functors
AUTHORS:
• David Kohel and William Stein
• David Joyner (2005-12-17): examples
• Simon King (2010-04-30): more examples, several bug fixes, re-implementation of the default call method, making functors applicable to morphisms (not only to objects)
• Simon King (2010-12): Pickling of functors wit... | |
# 11.7 Probability (Page 6/18)
Page 6 / 18
Landing on a vowel
$\text{\hspace{0.17em}}\frac{1}{2}.\text{\hspace{0.17em}}$
Not landing on blue
Landing on purple or a vowel
$\text{\hspace{0.17em}}\frac{5}{8}.\text{\hspace{0.17em}}$
Landing on blue or a vowel
Landing on green or blue
$\text{\hspace{0.17em}}\frac... | |
Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 38 (2004) no. 4, p. 613-632
This paper provides new results of consistence and convergence of the lumped paramet... | |
## Algebra: A Combined Approach (4th Edition)
$\sqrt[5] (x+1)^{3}$
Step 1: $(x+1)^{\frac{3}{5}}$ is simplified to $(x+1)^{3\times\frac{1}{5}}$ Step 2: Since $\frac{1}{5}$ represents the fifth root of the expression, the expression is simplified as $\sqrt[5] (x+1)^{3}$ Step 3: No further simplification possible | |
# Homework Help: Torque and angular momentum for a Particle in a Force Field
1. Apr 17, 2008
### so09er
[SOLVED] Torque and angular momentum for a Particle in a Force Field
Find A) the torque and B) the angular momentum about the origin at the time t=3 for a particle in a Force Field F=(3t^2 -4t)i + (12t -6)j + (6t... | |
# How do you differentiate g(y) =(2+x )( 2-3x) using the product rule?
Mar 26, 2017
$\frac{d}{\mathrm{dx}} g \left(x\right) = - 6 x - 4$
(In the answer, I use h(x) where g(x) is traditionally used to avoid confusion since the question already defines g(x)).
#### Explanation:
Product rule states that:
$\frac{d}{\... | |
Title
Stereographic projection of plane algebraic curves onto the sphere
Author
S. Welke
Journal / Anthology
Innovation in Mathematics: Proceedings of the Second International Mathematica Symposium
Year: 1997
Page range: 491-498
Description
Stereographic projection is a conformal map from the xy-plane to the un... | |
Recognitions:
Gold Member
Staff Emeritus
## Pretty woman ... Yeah, yeah, yeah!
HAMILTON, ONT. - Men's minds may be so rattled by the sight of a pretty woman that they behave irrationally, Canadian psychologists have shown. Scientists know animals prefer short-term gains to longer-term ones, even if the future payoff... | |
# Benchmark ODE solver: GSL V/s Boost Odeint library
For our neural simulator, MOOSE, we use GNU Scientific Library (GSL) for random number generation, for solving system of non-linear equations, and for solving ODE system.
Recently I checked the performance of GSL ode solver V/s Boost ode solver; both using Runge-Ku... | |
## Introduction
The possession of language distinguishes humans from other animals. It is true that other animals also engage in vocal communication; for example, vervet monkeys can convey some simple information by using alert calls1. However, the vocal communication of such animals lacks the complex grammar and high... | |
You're reading the documentation for a development version. For the latest released version, please have a look at v4.3.0.
# Reaction models¶
## Externally dependent reaction models¶
Some reaction models have a variant that can use external sources as specified /input/model/external/ (also see Section Dependence on ... | |
The Derivative of a Function
# The Derivative of a Function
One of the first topics studied in elementary calculus is the derivative of a real-valued function $f$. We will now formally define the derivative of a function below and begin to look at some of the properties of derivatives.
Definition: Let $f$ be a func... | |
# Derivative of a norm
I learned not use the Norm[] function when computing vector derivative, so I use the dot product instead:
In: D[x.x, x]
Out: 1.x + x.1
What does the result mean? Is 1=(1, 1, .., 1) here? Why can't it show just 2x as the result? And Mathematica won't resolve it when I define x?
In: 1.x + x .1... | |
# Chezy Formula
### Search for Multiple Choice Question (MCQ)
#### Chezy Formula
By definition there is no acceleration in uniform flow. By applying the momentum equation to a control volume encompassing two sections 1 and 2, distance L apart, the Chezy formula is derived :
$V = C\sqrt {R{S_o}}$
where :
V : Avera... | |
# Problem with calculating propagation delay
I need to calculate the propagation delay for this circuit.I am confused because do I have to take every necessary combination of inputs and outputs or do I have to take the longest route from input to output by deciding to take the route which has the max number of logic g... | |
## Introduction
1-nitroso-2-naphthol can be widely used in chemical and pharmaceutical fields as chelating agent and chromogenic agent. However, as a nitro compound, 1-nitroso-2-naphthol has certain thermal instability and can undergo exothermic decomposition after heating. Especially when it encounters acid or alkali... | |
# Probability in infinitary logic
Let X be a random variable taking the value 0.2 with probability 0.2, 0.4 with probability 0.4 and 0.8 with probability 0.2 and 1.0 with probability 0.2.
Using Infinitary logic I can ask the probability:
$$P(X = P(X = P(X = \ldots)))$$
How is is this value computed?
-
I don't see ... | |
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So tomorrow we all will be appearing for the IAPT Olympiads viz NSEP,NSEC And NSEA.
For those who dont know these exams are the first tier for participating in the International olympiads from INDIA
these are being conducted for selecting the Indian team for
INTERNATIONAL PHYSICS OLYMPIAD (IPHO) 2017 To be held a... | |
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An alpha particle commonly has a speed of $15{,}000 \text{ km/s}$.
What is a reasonable value for the de Broglie wavelength of an alpha particle when considered as a matter wave?
A
$\lambda =2.65\times { 10 }^{ -14 }\text{ m}$
B
$\lambda =6.65\times { 10 }^{ -15 }\text{ m}$
C
$\lambda =4.15\times... | |
# Change of variables
1. Feb 3, 2006
### Benny
Hi, I would like some help with the following question.
Q. Let f be continuous on [0,1] and let R be the triangular region with vertices (0,0), (1,0) and (0,1). Show that:
$$\int\limits_{}^{} {\int\limits_R^{} {f\left( {x + y} \right)} dA = \int\limits_0^1 {uf\left( u... | |
# How many real roots are there to $2^x=x^2$? [duplicate]
How many real roots are there to $2^x=x^2$?
-
## marked as duplicate by Chandrasekhar, Asaf Karagila, t.b., Ｊ. Ｍ., Jonas TeuwenAug 9 '11 at 11:51
What have you tried? – lhf Aug 8 '11 at 16:11
Closely related: math.stackexchange.com/questions/9505/… – user9... | |
# Infinite quotient of Hurwitz Group
I am currently working through all the groups with two generators, and I am up to the group with presentation $G := \langle a, b \ | \ a^2, b^3, (ab)^7, [a,b]^9 \rangle$. I have found all the finite quotients of this group, but there are also the infinite quotients of the group tha... | |
# Is it possible to build homemade storage device?
From what i know, HDD is built on magnetic recording technology. My question is, is it possible to create a storage device from scratch (USB, HDD, etc.)? I'm just eager to try out building some electronic devices...
• You could try making a USB based memory device. F... | |
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## G = Dic10⋊19D4order 320 = 26·5
### 7th semidirect product of Dic10 and D4 acting via D4/C22=C2
Series: Derived Chief Lower central Upper central
Derived series C1 — C2×C10 — Dic10⋊19D4
Chief series C1 — C5 — C10 — C2×C10 — C2×Dic5 — C2×Dic10 — C22×Dic10 — Dic10⋊19D4
Lower central C5 — C2×C... | |
# What is a prime, and who decides?
Some people view mathematics as a purely platonic realm of ideas independent of the humans who dream about those ideas. If that’s true, why can’t we agree on the definition of something as universal as a prime number?
Courtney R. Gibbons
Hamilton College
### Introduction
Scene: I... | |
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## How to Show Images on the RAV4 Drivers Club
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# Binomial distribution
#### Punch
##### New member
A bag contains 4 red, 5 blue and 6 green balls. The balls are indistinguishable except for their colour. A trial consists of drawing a ball at random from the bag, noting its colour and replacing it in the bag. A game is plated by performing 10 trials in all.
At th... | |
About a possible generalization of Green-Tao's theorem
Hello,
Let's say that an integer $n$ is $k$-primal if $k$ is its smallest primality radius (i.e non negative integer $r$ such that both $n-r$ and $n+r$ are primes). I think that for every positive integer $m$ and every non negative integer $k$, there exists an ar... | |
# Npv Discount Rate Table
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## Leases Discount rates - KPMG
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Offer Details: The discount rate affects the amount of the lessee’s lease liabilitie... | |
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# Find the Ratio in Which the Point (2, Y) Divides the Line Segment Joining the Points a (-2,2) and B (3, 7). Also, Find the Value of Y. - CBSE Class 10 - Mathematics
ConceptConcepts of Coordinate Geometry
#### Question
Find the ratio in which the point (2, y) divides the line segment joining the points A (-2... | |
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