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# Create tree association using table
Suppose I have a table like the following (This example is simplified, actual table is much larger), it is read from external files:
table = {{1, A, x, y},
{1, B, z, w},
{2, A, v, u},
{2, B, t, s}};
header = {i, j, g, h};
The third and fourth column are the actual content of m... | {} |
## Precalculus: Mathematics for Calculus, 7th Edition
$(-\infty, -1) ∪ (0, \infty)$
$$x^4>x^2$$ Subtract $x^2$ $$x^4-x^2>0$$ Factor out $$x^2(x^2-1)>0$$ $$x^2(x-1)(x+1)>0$$ So, we have key points: $x+1=0$ ; $x=-1$ $x=0$ $x-1=0$ ; $x=1$ Which gives us following intervals: $(-\infty, -1)$ - Positive $(-1, 0)$ - Negative... | {} |
# Addition and subtraction of radicals
The addition and subtraction of radicals is similar to the addition and subtraction of
algebraic expressions with like terms.
Notice how the distributive property is used to combine 6x and 2x.
6x + 2x = (6 + 2)x = 8x
The distributive property can also be used to add and subtra... | {} |
### Home > ACC7 > Chapter 9 Unit 6 > Lesson CC2: 9.1.3 > Problem9-49
9-49.
Simplify these expressions.
1. $(x+3.5)2$
$2x+7$
1. $23+5x-(7+2.5x)$
Distribute the subtraction sign to the terms inside the parentheses, and then combine like terms. See part (c) for a worked example.
1. $3x+4.4-2(6.6+x)$
$3x+4.4-2(6.6+... | {} |
## Abstract
Accountability systems are designed to introduce market pressures to increase efficiency in education. One potential channel by which this can occur is to match with effective teachers in the transfer market. I use a smooth maximum score estimator model, North Carolina data, and the state's bonus system to... | {} |
# Lévy's modulus of continuity theorem
In mathematics, Lévy's modulus of continuity theorem gives a result about the almost sure behaviour of an estimate of the modulus of continuity for the Wiener process, which models Brownian motion. It is due to the French mathematician Paul Lévy.
## Statement of the result
Let ... | {} |
2014
03-30
# Date
Is it just another problem about year, month and day? No, today we have a more romantic meaning � dating with a girl.
iSea now has a date to be anxious to rush, unfortunately, the city’s way is always so complicated, so time goes unconsciously and fast. In order to more quickly rushed to rendezvous,... | {} |
# Do current Central Banks need to target a monetary aggregate as they set interest rates for a target inflation? [closed]
On reading a textbook, the author state that after the 80's, and the serious consequences of thinking that inflation could be controlled by just targeting a monetary aggregate, modern central bank... | {} |
# Clarification on marginal, posterior and likelihood distributions?
I would like to clarify a basic question about how to use the concepts of marginal, conditional, and likelihood distributions.
When we observe data from phenomena $x$. We are looking at realizations from the marginal distribution $f(x)$?
When we wa... | {} |
## On polydispersity and the hard-sphere glass transition
Research output: Working paper
### Documents
Original language English ArXiv Published - 17 Oct 2013
### Abstract
We simulate the dynamics of polydisperse hard spheres at high packing fractions, $\phi$, with an experimentally-realistic particle size distrib... | {} |
+0
# help
0
38
1
There is an in class prize pool with 100 students of which 7 winners will be selected you are friends with 12 students what is probability 3 of 7 winners is your friend
Jun 14, 2021
$$\frac{C(12, 3)\times C(88,4)}{C(100, 7)}$$. | {} |
# Extension-based Semantics of Abstract Dialectical Frameworks
One of the most prominent tools for abstract argumentation is the Dung's framework, AF for short. It is accompanied by a variety of semantics including grounded, complete, preferred and stable. Although powerful, AFs have their shortcomings, which led to d... | {} |
# 15.8: The Rate of Gibbs Free Energy Change with Extent of Reaction
In Section 13.5, we demonstrate that the Gibbs free energy change for a reaction among ideal gases is the same thing as the rate at which the Gibbs free energy of the system changes with the extent of reaction. That is, for an ideal-gas reaction at ... | {} |
# How to do a weighted poll result using multiple weights?
My question is about how to do weighting in polls using multiple weights. I think it's a pretty standard statistical question, but I can't find a straightforward answer on the Internet, so I am here to ask.
Let's say I'm conducting a political poll for who vo... | {} |
# Real analysis – \$ u \$ can not reach the maximum if it satisfies a linear differential equation \$ Lu geq 0 \$
I have a function $$u in C ^ 2 ((a, b)) cap C ^ 0 ([a,b])$$ and a limited function $$g: (a, b) rightarrow mathbb {R}$$, whereas $$(a, b) subset mathbb {R}$$
Now consider the linear operator $$L: = frac ... | {} |
# Non measurable subset of a positive measure set
I am self-studying measure theory and I have seen this theorem:
If $A$ is a set of positive measure, then there exists a subset $D$ of $A$ that is non measurable.
I am not sure how to prove it. I have read the article about Vitali set in here. If $V(0,1)$ represents ... | {} |
# Gauss's lemma (Riemannian geometry)
Gauss's lemma (Riemannian geometry)
In Riemannian geometry, Gauss's lemma asserts that any sufficiently small sphere centered at a point in a Riemannian manifold is perpendicular to every geodesic through the point. More formally, let "M" be a Riemannian manifold, equipped with... | {} |
(11C) Poisson distribution
12-18-2017, 09:38 AM (This post was last modified: 12-31-2017 02:35 PM by Gamo.)
Post: #1
Gamo Senior Member Posts: 324 Joined: Dec 2016
(11C) Poisson distribution
The Poisson distribution is popular for modelling the number of times an event occurs in an interval of time or space.
Formula:... | {} |
Showing: rectangular windowreset
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answers
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GCSE Maths Number Standard Form
Converting to and from Standard Form
# Converting to and from Standard Form
Here we will learn how to convert to and from standard form, including how to adjust numbers to write them in standard form notation.
There are also converting to and from standard form worksheets based on Ed... | {} |
# Tank Volume Calculator
By Hanna Pamuła, PhD candidate
Last updated: Jan 14, 2020
With this tank volume calculator, you can easily estimate what the volume of your container is. Choose between nine different tank shapes: from standard rectangular and cylindrical tanks, to capsule and elliptical tanks. You can even f... | {} |
# 3 unknowns really confusing
1. Jan 21, 2013
### dscot
1. The problem statement, all variables and given/known data
Hello all,
I'm trying to solve for 3 unknowns x,y,z. We are given these formulas: http://screencast.com/t/Y8QobUXVB3S3 [Broken]
2. Relevant equations
Please see link provided above.
3. The attemp... | {} |
Lessons:6Length:31 minutes
• Overview
• Transcript
# 2.3 Using Blend Modes for Cutouts
In the previous lesson, we used blend modes to display an image and a gradient inside a piece of text. You can also use blend modes to create cutouts in a larger image so that the image will appear differently inside the text than ... | {} |
# American Institute of Mathematical Sciences
June 2018, 12(3): 545-572. doi: 10.3934/ipi.2018024
## Existence and convergence analysis of $\ell_{0}$ and $\ell_{2}$ regularizations for limited-angle CT reconstruction
1 School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengd... | {} |
# Hooke's law for a balloon?
by johne1618
Tags: balloon, hooke
P: 344 Hi, For a linear spring one has Hooke's law: $F = k x$ Is there an equivalent law for a spherical elastic balloon giving pressure inside as a function of radius? Thanks, John
P: 482 Here's a good place to start http://en.wikipedia.org/wiki/Bulk_mo... | {} |
# Information Security and Cryptography Research Group
## Communication-Efficient Non-Interactive Proofs of Knowledge with Online Extractors
### Marc Fischlin
Advances in Cryptology — CRYPTO 2005, Lecture Notes in Computer Science, Springer-Verlag, vol. 3621, pp. 152–168, Aug 2005.
We show how to turn three-move pr... | {} |
## The power of the unseen, the abstract: applications of mathematics
Applications of math are everywhere…anywhere we see, use, test/taste, touch, etc…
I have made a quick compilation of some such examples below:
1. Crystallography
2. Coding Theory (Error Correction) (the stuff like Hamming codes, parity check codes... | {} |
# How are CPUs designed?
I've started playing with electronics a while ago and making simple logic gates using transistors. I know modern integrated circuits use CMOS instead of transistor-transistor logic. The thing I can't help wondering about is how CPUs are designed.
Is design still done at a (sub)logic gate leve... | {} |
# Obtaining R pec survival patient risk percentage
### Introduction
I have a 300,000-row cancer dataset with around 60 variables (cancer stage, year of diagnosis, radiation therapy, histology, etc.) with a time variable ("number of months survived") and an event (alive or dead). The last two variables have complete v... | {} |
# differentiate and find the domain of ff(x) = ln ln ln x
mathsworkmusic | Certified Educator
calendarEducator since 2012
starTop subjects are Math, Science, and Business
To differentiate `f(x) = ln(ln(ln(x)))` use the Chain Rule for differentiation of nested function.
The rule is that ` `if `f(x) = u(v(w(x)))` wh... | {} |
# Tag Info
2
It seems to me as this is not possible in this way. bipoles/resistor/height and width has been hardcoded for the American variants. The only possibility I am seeing here is to change the length of the bipole. The length is a possible parameter of each bipole. This could look like in my MWE below: % arara... | {} |
Elitist Jerks MoP beta discussion
Username Remember me? Password
LinkBack Thread Tools
04/30/12, 5:07 PM #61 Havoc12 King Hippo Shaarra Night Elf Priest Silvermoon (EU) I observed something quite interesting. The renew glyph always removes just 1 tick and boosts the remainder by the same amount regardless of ha... | {} |
# Example of an injective module
I can't find an example of a countable injective module over a non-Noetherian ring.
-
And, presumably, you would like to know one? (I suspect you weren't just posting a status update... have you considered actually asking the question, then?) – Arturo Magidin Feb 6 '11 at 22:11
In ot... | {} |
Triangles each have three heights, each related to a separate base. Regardless of having up to three different heights, one triangle will always have only one measure of area. In some triangles, like right triangles, isosceles and equilateral triangles, finding the height is easy with one of two methods.
[hide]
## Ho... | {} |
# Circular Motion, Gravity, Muddy Wheel
1. Feb 12, 2013
### porschedude
1. The problem statement, all variables and given/known data
A car is moving with constant velocity v, and has wheels of radius R. The car drives over
a clump of mud and the mud with mass m, and sticks to the wheel with an adhesive force of
f pe... | {} |
# How can diffraction happen in the Hubble Telescope?
I've seen people talking about the angular resolution of the HST is, if using Rayleigh's criterion, equal to: $$\theta = 1.220 \frac{\lambda}{D}$$ My question is, since the diameter of the HST $D$ (2.4m) is wayyy larger than the wavelength $\lambda$, how on earth w... | {} |
# Taylor series in order to find the approximate antiderivative of a function
Somewhat inspired by this question about antiderivatives, I started to check whether or not that function had an elementary antiderivative. Then, after checking with Maxima, it struck me that, by simplifying the $\sec(x)$ and $\tan(x)$ terms... | {} |
# Tidying TLEs in R
I’ve been working with the Union of Concerned Scientists’ data on active satellites for a while now, and decided it was time to add Space-Track’s debris data to it. The UCS data is nice to work with because it’s already tidy: one row per observation, one column per variable. One format for debris d... | {} |
y t , this curve is the top half of the ellipse. ) ) 2 x to make an ellipse. 2 {\displaystyle \mathbf {x} =\mathbf {x} _{\theta }(t)=a\cos \ t\cos \theta -b\sin \ t\sin \theta }, y , ( Animation of the variation of the paper strip method 1. ) ( = {\displaystyle (a,\,0)} Composite Bézier curves may also be used to draw ... | {} |
A trainer learns the function f(x)=y, or weights W, of the following form to predict a label y where x is a feature vector. y=f(x)=Wx
Without a bias clause (or regularization), f(x) cannot make a hyperplane that divides (1,1) and (2,2) becuase f(x) crosses the origin point (0,0).
With bias clause b, a trainer learns ... | {} |
# Seminars (SDBW03)
Videos and presentation materials from other INI events are also available.
Search seminar archive
Event When Speaker Title Presentation Material
SDBW03 4th April 2016
09:30 to 10:15
Thomas Kurtz Approximations for Markov chain models
Co-author: David F. Anderson (Univ of Wisconsin - Madison)
Th... | {} |
## Introduction
Treadmills have been widely used for locomotion studies by virtue of their significant advantages: the speed can be controlled and the experiment can be done in a laboratory space, enabling simultaneous use of other stationary equipment. However, those who have walked or run on a treadmill for a suffic... | {} |
• 2021 Dec 13
# Seminar - Abhijeet Anand (MPI for Astrophysics)
11:00am to 11:30pm
## Location:
Zoom
" The cool CGM in absorption with large spectroscopic surveys"
The gas flows in the circumgalactic medium (CGM) play a pivotal role in several key processes regulating galaxy formation, implying that our understan... | {} |
# Is xy=4 a direct of inverse variation?
Apr 1, 2017
$x y = 4$ is an inverse variation
#### Explanation:
To understand the operation of this equation: $x y = 4$
the equation can be solved for a few values of $x$ or $y$.
Suppose we choose values for $x$ of $1 , \mathmr{and} 2 , \mathmr{and} 4$.
Then for $x = 1 , ... | {} |
# Detail in the proof of the quaternion rotation identity
I am trying to understand the proof of the quaternion rotation identity illustrated in wikipedia (http://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation#Proof_of_the_quaternion_rotation_identity). I cannot understand the development of the last term in t... | {} |
# Risk glossary
## Kappa
Also known as lambda. A value representing the expected change in the price of an option. | {} |
# Eikonal quasinormal modes and shadow of string-corrected d-dimensional black holes
### online | 2021-04-21 | 14:30
Filipe Moura
ISCTE - Instituto Universitário de Lisboa e Instituto de Telecomunicações
We compute the quasinormal frequencies of $d$-dimensional spherically symmetric black holes with leading string ... | {} |
# Errors in Compile
I defined a function
getCell[sp_, i_, j_, x_] := Block[{target, n, m, k, l, k2, l2, cells},
n = Dimensions[sp][[1]];
m = Dimensions[sp][[2]];
cells = {};
Do[
Do[
(* This is one neighbor *)
k2 = Mod[i + k, n, 1];
l2 = Mod[j + l, m, 1];
If[(k2 != i || l2 != j) && sp[[k2, l2]] == x,
AppendTo[cells, {... | {} |
# Partitioning a connected polygon into connected pieces of equal area
Armaselu and Daescu (TCS, 2015) present algorithms that, given a convex polygon $$P$$ and an integer $$m$$ (which must be a power of $$2$$), return a partition of $$P$$ into $$m$$ convex polygons with the same area and same perimeter.
If we only w... | {} |
# Direct Relationship Between Second Derivative & Points of Inflection
To start at the start, my maths textbook says that:
• A line, $f(x)$, is concave when $f''(x) ≤ 0$ (second derivative of $f(x)$ is smaller than or equal to zero, or the gradient of $f(x)$ is changing at a decreasing rate)
• A line, $g(x)$, is conv... | {} |
Probability and Bayes' theory problem
Students A, B, and C are discussing a solution of one of homework assignments on Probability and Statistics which was solved by their colleague. Student A will claim, that the solution is wrong if and only if either student B or Student C claims that it is wrong. Students B and C ... | {} |
# Error related to \spacefactor using 3rd-party macro \addmoretexcs
I am using the command \addmoretexcs for listings, which has its origin here. With the update to TeX Live 2014 (and probably an update to listings), the following code returns an error:
\documentclass{minimal}
\usepackage{ltxcmds}
\usepackage{listing... | {} |
# Example of sets $A, B$ such that $A', B'$ are Turing equivalent but $A, B$ are not.
I have been wondering if the following statement is true, $$A\equiv_TB\iff A'\equiv_TB'$$ where $A, B\subseteq\omega$ and $A'$ denotes the Turing jump of $A$. I have been able to show the forward direction, but have been unable to sh... | {} |
# Homework Help: No. of spinless particles in the left half of a box
Tags:
1. Nov 9, 2017
### Pushoam
1. The problem statement, all variables and given/known data
How to solve question no. 35?
2. Relevant equations
3. The attempt at a solution
Since the particle is spinless, spin = 0 , this means that the particle... | {} |
Everyone is welcome here (except, of course, those who have borrowed books from me for and have not returned them yet 😉)
# "How to decide whether a single subject score is significantly different from a group"
Posted on mars 31, 2022 in misc
Let us suppose we want to compare a single patient to a group of healthy s... | {} |
# Types of Machine Learning: A High-Level Introduction
Sharing is caring
In machine learning, we distinguish between several types and subtypes of learning and several learning techniques.
Broadly speaking, machine learning comprises supervised learning, unsupervised learning, and reinforcement learning. Problems th... | {} |
# 7 Regression via Maximum Likelihood
In this chapter we describe Maximum Likelihood (ML) to obtain estimated parameters (i.e. coefficients) for Linear Regression.
We have introduced OLS from a purely geometrical perspective, as well as from purely model-fitting perspective.
As previously mentioned, in a regression ... | {} |
# AIBECS.jl
The Algebraic Implicit Biogeochemistry Elemental Cycling System
Whatever you do, if you want to use the AIBECS, you must add it to your Julia environment like every Julia package, by typing ]add AIBECS at the REPL.
This documentation is organized in 4 parts[1]:
#### 1. Tutorials
If you want to try AIBE... | {} |
# Starting on elastic collisions
1. Jan 19, 2005
### Coldie
Currently I'm stuck on this problem:
A pair of bumper cars at an amusement park ride collide elastically as one approaches the other directly from the rear. One has a mass of 450 kg and the other 550 kg. If the lighter one approaches at 4.5 m/s and the oth... | {} |
Select the active object ? with python
i just want to select this object, the suzanne with the active origin in red,'is is she active or just the last selected?
i dont know the code, and i dont know also how to find this kind of code, ive been searching for two hours... any tips how to find the desired action within ... | {} |
# Captain Clumsy's crummy communication
An entry in Fortnightly Topic Challenge #45: Flags
Captain Clumsy never ceases to amaze me... This morning I was down at the dockside when I heard a shout from a nearby ship. Steeling myself, I looked up... then let out a groan... Him again!
The docks were noisy and I couldn't... | {} |
Register
# 20.1. Spatial Data Structures¶
## 20.1.1. Spatial Data Structures¶
Search trees such as BSTs, AVL trees, splay trees, 2-3 Trees, B-trees, and tries are designed for searching on a one-dimensional key. A typical example is an integer key, whose one-dimensional range can be visualized as a number line. Thes... | {} |
# Law of Large Numbers and the Central Limit Theorem (With Python)
Statistics does not usually go with the word "famous," but a few theorems and concepts of statistics find such universal application, that they deserve that tag. The Central Limit Theorem and the Law of Large Numbers are two such concepts. Combined wit... | {} |
Number of Trials to First Success
Informally, the probability of an event is the average number of times the event occurs in a sequence of trials. Another way of looking at that is to ask for an average number of trials before the first occurrence of the event. This could be formalized in terms of mathematical expecta... | {} |
# Schmitt Trigger design
Vcc=5V, Vin= a noisy input voltag
I'm designing a non-inverting schmitt trigger using voltage divider. As shown from the image, I designed it on LTSpice and I got the desired results but from the waveform, however, I'm only seeing one threshold which is my reference voltage at 2.143V. I though... | {} |
# A rocket is fired from rest at x = 0
A rocket is fired from rest at x = 0 and travels along a parabolic trajectory described by $y^2=[120(10^3)x]$ m. If the x component of acceleration is $a_x=(\dfrac{1}{4}t^2)$ m/$s^2$, where t is in seconds, determine the magnitude of the rocket’s velocity and acceleration when t ... | {} |
Primitive roots generated from a primitive root
Let $p$ be a prime number, and let $a$ be a primitive root $\mod p$.
Is it true that $a^m$ is a primitive root if and only if $\gcd(m,p-1)=1$?
One direction is correct: if $a^m$ is a primitive root, then let $d = gcd(m,p-1)$. Then $dq_1 = m, dq_2 = p-1$, where $q_1,q_2... | {} |
# Transistor doesnt work?
#### Vaarna
Joined Nov 17, 2015
3
I have a simple circuit with 2 transistors making an and gate and switches to turn on the transistors and a led to light up when the 2 switches are on, but
it doesnt work the transistors just heat up.
ps.sorry if im noob
#### mcgyvr
Joined Oct 15, 2009
5,... | {} |
In physics, chemistry and biology, a potential gradient is the local rate of change of the potential with respect to displacement, i.e. spatial derivative, or gradient. This quantity frequently occurs in equations of physical processes because it leads to some form of flux. In electrical engineering it refers specifica... | {} |
5
A bag contains six red marbles and seven white marbles_ If a sample of four marbles contains at least one white marble, what is the probability that all the marbles...
Question
A bag contains six red marbles and seven white marbles_ If a sample of four marbles contains at least one white marble, what is the probab... | {} |
### Integration (Economics)
#### Integration
Integration is the opposite process to differentiation.
#### Indefinite Integration
The indefinite integral of a function $f(x)$ with respect to $x$ is denoted by: $\int f(x) \mathrm{d} x.$ The function appearing inside the integral, $f(x)$, is known as the integrand. We... | {} |
# Solving Integral Equations – (1) Definitions and Types
If you have finished your course in Calculus and Differential Equations, you should head to your next milestone: the Integral Equations. This marathon series (planned to be of 6 or 8 parts) is dedicated to interactive learning of integral equations for the begin... | {} |
# AC Adapter Input vs Output Power?
I have a laptop AC Adapter thats rated for 19.5v/3.34A DC output for a total of 65W. The input is rated at 100-240V/1.5A AC. My question is what is limiting the output to 65W? It seems like the input can support up to 100*1.5=150W minimum. I"m assuming you lose some in the AC to DC ... | {} |
Tech Problem Aggregator
# Used Dell Computer. Bargain or something else?
Q: Used Dell Computer. Bargain or something else?
I can buy from a friend a used Dell computer which has been refurbished for $430.00. I probably would put in an SSD. Is this a good deal or something to avoid? It has Win7 HP but I probably coul... | {} |
1. ## difference equation
Hey, I need help with this:
Solve the difference equation if
a) with the direct method
b) with generating function
Thank you!
2. ## Re: difference equation
Where did you get this problem? Please do not just write out a problem, without showing any attempt yourself to do this and ask for... | {} |
## Main
Since 2007, genome-wide association studies (GWASs) have identified thousands of associations between common SNPs and height, mainly using studies with participants of European ancestry. The largest GWAS published so far for adult height focused on common variation and reported up to 3,290 independent associat... | {} |
# Help me decompress this old file
A long time ago in a basement far far away I created my own operating system. Unfortunately I made a foolish mistake when designing the file system. I choose a single byte for representing file sizes. Since that means that no file can be bigger than 255 bytes I was forced to also inv... | {} |
# Fourier integral/ Fourier transformation of an oscillatory function with FFT
$f(x) = \cos(x^2)$ and $g(k) = \sqrt\pi \cos((\pi k)^2 - \pi/4)$ are a Fourier pair.
I want to reproduce $g(k)$ by Fourier integrating $f(x)$ using FFT, i.e.
approximating Integrate[ f(x) * exp(2 pi * ikx), {x, -inf, inf} ]
with Sum[ fn ... | {} |
# Name of property: $a \circ (a \circ b) = b$
How do you describe an operation like this?
$$a \circ (a \circ b) = b$$
For example, XOR is like this:
$$a \oplus a \oplus b = b$$
• It might be more convenient to write $a\circ b$ instead of $f(a,\,b)$. (Also, the second equation is redundant.) As for the question: In... | {} |
Pure Mathematics 1 by Backhouse
Ex:2f q13
The real function f, defined for all $\displaystyle x \epsilon \mathbb{R}$, is said to be multiplicative if, for all $\displaystyle y \epsilon \mathbb{R}$, $\displaystyle x \epsilon \mathbb{R}$,
f(xy) = f(x)f(y)
Q: Prove that if f is multiplicative function then
a) either f(0... | {} |
# Revision history [back]
You can turn v into a polynomial on the undeterminate j:
sage: v.parent()
Finite Field in j of size 103547177417693052529777682378668053214273896455490711701161896790546789406824788465028828965610667136245532116188402023852039119765225543930441604687711518169767068400789133343583997309527749... | {} |
# Mutant pangolin
This is a code-golf challenge whereby you need to devise a program that acts like a quine or a quine that modifies itself to illustrate machine learning.
# Background
There is a basic artificial intelligence program called 'the pangolin game' which is described here. The basic ideas is that the pro... | {} |
# Fourier transform normalization
I can't understand the following integral, someone can help? $$\int dk e^{ikx} = \delta(x)2\pi$$
-
To be more precise: I can't understand where the $2\pi$ comes from and where the delta function is located (where does the $2\pi$ "concentrate" along the x axis?) – Lorenzo Feb 28 at 1... | {} |
# Find the determinant of $A + I$
Given a real valued matrix $A$ such that $A$ satisfies $AA^T = I$ and $\det(A)<0$, calculate $\det(A + I)$
My start : Since $A$ satisfies $AA^T = I$, $A$ is a unitary matrix. The determinant of a unitary matrix with real entries is either $+1$ or $-1$. Since we know that $\det(A)<0$,... | {} |
# PCalc binomial functions
Over the weekend, I read Federico Viticci’s excellent post on using iOS 12 Shortcuts to access PCalc. I haven’t installed iOS 12 yet (I usually wait a few days to let Apple’s servers cool down), but I expect to use Federico’s advice to make a few PCalc shortcuts when I do. In the meantime, h... | {} |
# Split-complex number
Jump to: navigation, search
Split-complex product
× 1 j
1 1 j
j j 1
A portion of the split-complex number plane showing subsets with modulus zero (red), one (blue), and minus one (green).
In abstract algebra, the split-complex numbers (or hyperbolic numbers, also perplex numbers, and double num... | {} |
# OpenGL Simple 2D programming
This topic is 4608 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
Hi, this is my first post here so I apologise if it's not perfect. I'm trying to write a small 2D game in OpenGL, however I'm having trouble with... | {} |
# Find Area Enclosed by Curve
I want to find the area enclosed by the plane curve $x^{2/3}+y^{2/3}=1$. My attempt was to set $x=\cos^3t, \ y=\sin^3t$ so:$$x^{2/3}+y^{2/3}=\cos^2t+\sin^2t=1$$
Then the area is $$2A=\oint_Cxdy-ydx=3\oint_C\cos^3ty'dy+\sin^3tx'dx=3\int_0^{2\pi}\cos^2t\cdot \sin^2tdt=\frac{3\pi}{4}\implie... | {} |
# Understanding the Research Collaboration During COVID-19 Pandemic
Date:
The research project was presented at INFORMS Annual Meeting 2020 in a session titled, Data and Network Science.
Authors: Sulyun Lee, Kang Zhao, and Ning Li
Abstract: After the first outbreak of coronavirus (COVID-19) at Wuhan, China, in Dece... | {} |
# Digital Waveguides: Discrete Wave Equation
## Wave Equation for Ideal Strings
The ideal string results in an oscillation without losses. The differential wave-equation for this process is defined as follows. The velocity $c$ determines the propagation speed of the wave and this the frequency of the oscillation.
\b... | {} |
Contents
# Contents
## Idea
In quantum physics, the quantum adiabatic theorem for a parameterized quantum system says that under a sufficiently slow motion of the external parameters along a path $\gamma \,\colon\, [0,1] \to P$ in parameter space $P$, eigenstates for mutually commuting quantum observables of the qua... | {} |
# Chapter 13 VEC and VAR Models
rm(list=ls()) #Removes all items in Environment!
library(tseries) # for adf.test()
library(dynlm) #for function dynlm()
library(vars) # for function VAR()
library(nlWaldTest) # for the nlWaldtest() function
library(lmtest) #for coeftest() and bptest().
library(broom) #for glance() and t... | {} |
Lab Report. Description. Studies Thermodynamics, Organic Chemistry, and Inorganic Chemistry. As such, AAS is used in food and beverage, water, clinical, and pharmaceutical analysis. Jul 23, 2017. Since it does not have a system based on science lab inventory yet, the main objective in our project is to develop a new sy... | {} |
# Example laplace equation spherical coordinates
## artial Home Lehigh University
Вµ 2 R P V RP Вµ San Francisco State University. laplaceвђ™s equation in cylindrical coordinates and besselвђ™s equation (i) 1 solution by separation of variables laplaceвђ™s equation is a key equation in, the usual cartesian coordinate... | {} |
# Homework Help: Applying newtons laws (intro to physics problem!)
1. Sep 25, 2009
### natty210
A 20000 rocket has a rocket motor that generates 3.0×105 of thrust.
What is the rocket's initial upward acceleration?
At an altitude of 5.0 km the rocket's acceleration has increased to 6.0 m/s^2 . What mass of fuel has... | {} |
# [SOLVED]Heptagon Challenge
#### anemone
##### MHB POTW Director
Staff member
Let $P_1P_2P_3P_4P_5P_6P_7,\,Q_1Q_2Q_3Q_4Q_5Q_6Q_7,\,R_1R_2R_3R_4R_5R_6R_7$ be regular heptagons with areas $S_P,\,S_Q$ and $S_R$ respectively. Let $P_1P_2=Q_1Q_3=R_1R_4$. Prove that $\dfrac{1}{2}<\dfrac{S_Q+S_R}{S_P}<2-\sqrt{2}$
#### ane... | {} |
# Glossary
## NEXUS
A file in NEXUS format store the strings in the data block as follows:
#NEXUS
Begin data;
Dimensions ntax = 3 nchar = 94;
Format datatype = nucleotide gap = - missing = ?;
Matrix
Taxon1 ATGGGAGCGGGGGCGTCTGTTTTGAGGGGAGAGAAGCTAGATACATGGGAAAAAAAAGTACATGATAAAACATCTGGTTTGGGCAAGATCGGAG
Taxon2 AGCGGGAAA... | {} |
# Why are hydrogen, helium and neon known as quantum gases in the mid-20th-century chemical literature?
So, while reading over equations of states, I learned that quantum gases do not conform to the same corresponding state behavior as normal fluids do. Why are these known as quantum gases and why do they not conform ... | {} |
DESeq2 design with three treatments and the genes common to all
1
2
Entering edit mode
2.7 years ago
MaxF ▴ 120
My experimental design is 18 samples: three different treatments (cytokines A, B,C) each of which has its own mock/control each in triplicate.
I would like to know the genes that are differentially expresse... | {} |
# Does time go backwards if object is going faster than light?
1. Nov 1, 2013
Lets pretend I am in my space ship going in one direction at 0.9c. My brother is in his space ship going the opposite direction also at 0.9c. Oh and there is a big clock on the side of our ships. When we cross paths, to me it looks as if i'... | {} |
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