arxiv_id stringlengths 0 16 | text stringlengths 10 1.65M |
|---|---|
# Algebraic fractions
## Definition
An algebraic fraction is a fractional expression in which numerator and denominator are polynomials of one or more variables. The most common operations with algebraic fractions are simplification, addition, subtraction, multiplication and division.
## Solved Exercises
### Strugg... | |
Volume 17, issue 4 (2013)
1 S Akbulut, R Kirby, Branched covers of surfaces in $4$–manifolds, Math. Ann. 252 (1979/80) 111 MR593626 2 A J Casson, C M Gordon, On slice knots in dimension three, from: "Algebraic and geometric topology, Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 3... | |
# zbMATH — the first resource for mathematics
Certification of real inequalities: templates and sums of squares. (English) Zbl 1328.90101
Summary: We consider the problem of certifying lower bounds for real-valued multivariate transcendental functions. The functions we are dealing with are nonlinear and involve semial... | |
# What does “/2” in the structure of calcium benzoate mean?
Please see the following figure. This is from the high school chemistry book of my son. He wants to know what does that /2 after $\ce{-COOCa}$ mean.
The book is a non English one. And I have changed the relevant caption to English.
Primary searches over Goo... | |
# Adjusting wavelength to experimental data
See code in GitLab.
Author: Jason Bayer jason.bayer@ihu-liryc.fr
This tutorial demonstrates how to adjust parameters in tissue simulations to match experimental data for conduction velocity, action potential duration, and wavelength. To run the experiments of this tutorial ... | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 20 Apr 2019, 19:32
### 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.
Customize... | |
# Tag Info
9
As a student I was involved in the same problem as you are. Let me explain to you in the simplest words without any math. Convolution: It is used to convolute two function. May sound redundant but I´ll put an example: You want to convolute (in a non math term to "combine") a unit cell (which can contain ... | |
# Parametrization of $S^3$ embedded in $\mathbb R^4$?
I would like to know of any parametrization of the standard 3-sphere:
{$(x_1,x_2,x_3,x_4): x_1^2+x_2^2+x_3^2+x_4^2=1$} embedded in $\mathbb R^4$.
I know of parametrizations for $S^1$, for $S^2$ , but I cannot think of how to parametrize $S^3$ as above. The closes... | |
President
Alison Etheridge is IMS President, 2017–18. She writes: Well, that was it. Jon Wellner handed over the gavel (and I rapidly handed it back to Elyse for safe keeping). Tati took a picture and, before I had a chance to think about it, cheerily persuaded me to write something for… | |
Unusual p-values after weighting
I'm still new to R and most probably this is a rookie question, but maybe some of you could help me understand what is happening.
I'm analyzing some results of an experiment in which I have three treatments and three outcomes. For simplicity I will only take the control and treatment ... | |
Guess the answers. The quantum harmonic oscillator is the quantum analogue to the classical simple harmonic oscillator. We set ℏ, ! and the mass equal to 1. For the case of the harmonic oscillator, the potential energy is quadratic and hence the total Hamiltonian looks like: H= − ¯h 2 2m d dx2 + 1 2 kx2 (1. Two and thr... | |
# A Course of Pure Mathematics pdf download free
Download A Course of Pure Mathematics pdf free. This is the book written by G.H. Hardy from the film The Man Who Knew Infinity, the same Mathematician who helped the famous Indian mathematician Srinivasa Ramanujan find his recognition.
There can be few textbooks of mat... | |
# Homework Help: Evidence for Quark Production
Tags:
1. Mar 16, 2015
### unscientific
1. The problem statement, all variables and given/known data
(a) What are their vertex and propagator factors?
(b) Find the value of R.
(c) Explain the peaks at 3, 10 and 100 GeV.
2. Relevant equations
3. The attempt at a soluti... | |
# Counterclockwise Rotation Calculator
So what's the torque about that point due to each of the three forces that act on the object? Use the rule I stated in my first post to determine whether a given torque is clockwise or counterclockwise. All bullets and factory loads have a published G1 Ballistic Coefficient. Thos... | |
Hinge loss can be defined using $\text{max}(0, 1-y_i\mathbf{w}^T\mathbf{x}_i)$ and the log loss can be defined as $\text{log}(1 + \exp(-y_i\mathbf{w}^T\mathbf{x}_i))$
I have the following questions:
1. Are there any disadvantages of hinge loss (e.g. sensitive to outliers as mentioned in http://www.unc.edu/~yfliu/pape... | |
# How to use Aroon Oscillator to measure the strength of a trend
## What is Aroon Oscillator?
The Aroon Oscillator (ARO) was developed by Tushar Chande and is similar to the Relative Strength Index. It attempts to show when a new trend is starting and is quite useful in capturing trend and identifying range-bound mar... | |
## Sunday, 9 July 2017
### Python matplotlib: insets and aligned legends
Sometimes it is needed to create a plot with several lines and to assign a legend to each of them, which quite often ends in cumbersome and clunky legends. In my opinion, a more elegant way is include the legend as aligned text aside to each plo... | |
# Classical Fundamentals of Statistical and Thermal Physics by Frederick Reif
## For those who have used this book
37.5%
62.5%
0 vote(s)
0.0%
4. ### Strongly don't Recommend
0 vote(s)
0.0%
1. Jan 19, 2013
### Greg Bernhardt
Code (Text):
1. Introduction to Statistical Methods
Random Walk and Binomial Distribution... | |
# Regarding Gravitation and Gravitational Fields
## Homework Statement
A satellite is designed to orbit Earth at an altitude above its surface that will place it in a gravitational field with a strength of 4.5N/kg.
a) Calculate the distance above the surface of Earth at which the satellite must orbit.
b) Assuming the... | |
We show some advanced settings for solving the onebody Schrödinger equation which is based on Solving one-body problems. In the following, syst is a finalized kwant system with leads and we import the onebody module from tkwant:
from tkwant import onebody
## 2.7.1. Boundary conditions¶
Special boundary conditions ha... | |
## Richard Healey
Print publication date: 2007
Print ISBN-13: 9780199287963
Published to Oxford Scholarship Online: January 2008
DOI: 10.1093/acprof:oso/9780199287963.001.0001
Show Summary Details
Page of
PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 20... | |
NULL
Countries | Regions
Countries | Regions
Article Types
Article Types
Year
Volume
Issue
Pages
IMR Press / JOMH / Volume 17 / Issue 4 / DOI: 10.31083/jomh.2021.025
Open Access Original Research
Effect of a combination of aerobic exercise and dietary modification on liver function in overweight and obese men
Show Less... | |
# What drives the difference between M1 & M2 money supply (in the US)?
From what I understand the only entity that controls M1 in US is the Federal Reserve. Is it true that M2-M1( M2 minus M1; the part of M2 that is NOT in M1 like timed deposits) is controlled by the commercial banks?
Edit (by JS):
I think the quest... | |
Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = 1/2, the values of P(A | B) and P(B | A) respectively are
A 1/4, 1/2 B 1/2, 1/14 C 1/2, 1 D 1, 1/2
P(A | B) is Probability of A given B has occurred which is 1. P(B | A) is probability of B given that A has occurred which is 1/2 | |
## sh3lsh one year ago Graph Theory!
1. sh3lsh
Could you help me parse this theorem? $\Sigma \deg^{-}(v) = \Sigma \deg^{+}(v) = |E|$
2. sh3lsh
Let G = (V,E) Underneath the sigmas are supposed to be $v \in V$
3. sh3lsh
(it's a graph with directed edges) | |
## Evaluation of Particle Resuspension and Single-layer Rates with Exposure Time and Friction Velocity for Multilayer Deposits in a Turbulent Boundary Layer
Impact Factor: 2.735
5-Year Impact Factor: 2.827 | |
## Wednesday, August 29, 2012
### Calculating Mutually Exclusive Fixed Effects
* Let's imagine we would like to estimate how effective 90 different teachers in 3 different grades each teaching 20 students are individually. Every student receives a teacher and all teachers are assigned to students randomly (an import... | |
Thread: Help with parametric equation
1. Help with parametric equation
Find parametric equations for the line of intersection of the two planes.
P1: 2x − y + z = 1 P2 : x − y + z = 2
<2,-1,1> X <1,-1,1> = <0,-1,1>
x = -1
y=t
z=3+t
I don't know how the book gets this answer.
2. Originally Posted by khuezy
Find para... | |
# Longitudinal wave
Longitudinal waves, also known as "l-waves", are waves in which the displacement of the medium is in the same direction as, or the opposite direction to, the direction of travel of the wave. Mechanical longitudinal waves are also called compressional waves or compression waves, because they produce... | |
# A-level Physics/Equation Sheet
Equations, constants, and other useful data that the A-level student of physics is required to memorise.
## Forces and Motion
### Newtonian Mechanics
#### Conventions
• $\vec{v}_0\$ denotes initial velocity
• $\vec{v}\$ denotes final velocity
• $\vec{a}\$ denotes acceleration
• $\v... | |
# Has anyone seen this sort of graph property used before?
Consider the following property of a graph $G$:
The graph $G$ has no independent cutset of vertices, $S$, such that the number of components of $G-S$ is more than $|S|$ (the size of $S$).
(That is, cannot delete 1 vertex and leave 2+ components, cannot delet... | |
# Documentation
### This is machine translation
Translated by
Mouse over text to see original. Click the button below to return to the English verison of the page.
Quadratic programming is the problem of finding a vector x that minimizes a quadratic function, possibly subject to linear constraints:
`$\underset{x}{\... | |
# Buck converter without load - is it dangerous in long term?
As a followup to my previous questions (Q1 - circuit diagram is here, Q2). I disassembled the LED bulbs, cleaned and resoldered the components on the DC-DC converter boards, replaced caps, and chandelier-assembly seems to work well.
Background: Originally ... | |
# zbMATH — the first resource for mathematics
Boolean powers and stochastic spaces. (English) Zbl 0789.03038
We investigate the relationship between the Boolean power $$\mathbb{R}[\mathbb{B}]$$ of $$\mathbb{R}$$ and the elementary stochastic space $$E$$ in the sense of D. Kappos [Probability algebras and stochastic sp... | |
# Logic Module¶
## Introduction¶
The logic module for SymPy allows to form and manipulate logic expressions using symbolic and boolean values.
## Forming logical expressions¶
You can build boolean expressions with the standard python operators & (And), | (Or), ~ (Not):
>>> from sympy import *
>>> x, y = symbols('x... | |
# Symmetry breaking and Superfluid - Mott Insulator transition
I know my question is similar to what mentioned in this post: Symmetry breaking in Bose-Hubbard model. Yet, I don't find it clear. I've in mind a 1D Bose-Hubbard Hamiltonian. Moving from the Mott Insulator phase to the Superfluid Phase, a spontaneuos symme... | |
# Rydberg Formula
## Rydberg Formula
Rydberg formula is a mathematical formula used to predict the wavelength of light resulting from an electron moving between energy levels of an atom. If the state of an electron in a hydrogen atom is slightly perturbed, then the electron can make a transition to another stationary... | |
# Win Probability Of Poker Hands
This produces 7-card hands with 3 pairs. More hot questions question feed Mathematics Tour Help Chat Contact Feedback Mobile Company Stack Overflow Stack Overflow Business Developer Jobs About Press Legal Privacy Policy Stack Exchange Network Technology Life / Arts Culture / Recreation... | |
1. ## Definite Intergral
Any hints on where to start?
Integral from 1 to 0 of (x*e^x)/(x+1)^2 dx
2. Originally Posted by millerst
Any hints on where to start?
Integral from 1 to 0 of (x*e^x)/(x+1)^2 dx
Make the following observation
$\frac{x\cdot e^x}{(1+x^2)}=\frac{e^x}{1+x}-\frac{e^x}{(1+x)^2}$
3. Or we should ... | |
+1 vote
222 views
Let $G = (V, T, S, P)$ be a context-free grammar such that every one of its productions is of the form $A \rightarrow ν$, with $|ν| = k > 1$. The derivation tree for any string $W \in L (G)$ has a height such that
1. $h < \frac{(|W|-1)}{k-1}$
2. $\log_{k} |W| \leq h$
3. $\log_{k} |W| < h < \frac{(|W... | |
Prove the identity:
(hint: use the laws of cosine)
cos A
= b² + c² - a²
..a.........2abc
Using the above fact, now prove:
(Hint: what would cos B and cos C look like?)
....................b.........c
cos A + cos B + cos C = a² + b² + c²
..a.......b.......c........2abc
2. Originally Posted by adhesive
Prove the ide... | |
# mg.metric geometry – Equal products of triangle areas
Claim. Given hexagon circumscribed about an ellipse. Let $$A_1,A_2,A_3,A_4,A_5,A_6$$ be the vertices of the hexagon and let $$B$$ be the intersection point of its principal diagonals. Denote area of triangle $$triangle A_1A_2B$$ by $$K_1$$, area of triangle $$tri... | |
economics taxes inequality
# Pigovian Taxes and Income
[ See here for a more general and abstract (yet less mathy) proof. ]
## Background
The standard economic response to a negative externality is a Pigovian tax Pigovian tax.
If a bee grower's bees sting the neighboring kids, then the government should impose a t... | |
Why is the line spacing different between these paragraphs?
In the following two paragraphs, the line spacing seems to be wider in the bottom paragraph, and I can't for the life of my fathom why:
The code for this part plus a little before and after is
{\small
\noindent\vb{Systems of First-Order Linear ODEs}\\
%part... | |
# Question #3ea48
Nov 14, 2015
$794.2 \text{m}$
#### Explanation:
The expression for range is :
$d = \frac{v \cos \theta}{g} \left(v \sin \theta + \sqrt{{\left(v \sin \theta\right)}^{2} + 2 g {y}_{0}}\right)$
${y}_{0}$ is the height of launch which, in this case, is $114 \text{m}$.
$\therefore d = \frac{90 \time... | |
# Truth value of for all x in {} and there exist x in {}
1. Sep 12, 2005
### agro
truth value of "for all x in {}" and "there exist x in {}"
Suppose T is a true statement. Now, given a nonempty set A, both the statement
for all x in A, T
and
there exist x in A, T
are true. However, let E be the empty set. What ... | |
×
# Help in Integration
How do i calculate
$$\int { { \left( 1-{ x }^{ m } \right) }^{ \frac { 1 }{ n } }{ \left( 1-{ x }^{ n } \right) }^{ \frac { 1 }{ m } }dx }$$
For Positive Integers m and n.
P.S. : i have no idea how to solve this
Note by Rishabh Deep Singh
1 month, 1 week ago
Sort by: | |
# Iterables¶
Lists are iterable, which is pretty much the definition of an iterable
[1]:
l = [1, 2, 3, 4]
[2]:
for element in l:
print(element)
1
2
3
4
[3]:
d = {1: 'one', 2:'two'}
[4]:
d
[4]:
{1: 'one', 2: 'two'}
Pairwise iteration: over keys and values in parallel
[5]:
for key, value in d.items():
pr... | |
Overall Objectives
Application Domains
Highlights of the Year
New Software and Platforms
Partnerships and Cooperations
Bibliography
PDF e-Pub
## Section: New Results
### Wireless Networks
Participants: Yue Li, Imad Alawe, Quang Pham, Patrick Maillé, Yassine Hadjadj-Aoul, César Viho, Gerardo Rubino
Mobile wireless ... | |
# Comments on "An Update of the HLS Estimate of the Muon g-2"by M.Benayoun {\it et al.}, arXiv:1210.7184v3
1 BaBar
LAL - Laboratoire de l'Accélérateur Linéaire
Abstract : In a recent paper \cite{benayoun} M.Benayoun {\it et al.} use a specific model to compare results on the existing data for the cross section of the ... | |
## Seminars and Colloquia by Series
Friday, September 11, 2009 - 15:00 , Location: Skiles 255 , Jinwoo Shin , MIT , Organizer: Prasad Tetali
We consider the #P complete problem of counting the number of independent sets in a given graph. Our interest is in understanding the effectiveness of the popular Belief Propagat... | |
# Issues with training SSD on own dataset
I'm new to ML and trying to train a SSD300, with some Keras-Code github.com/pierluigiferrari/ssd_keras I found on github. For training I'm using an own (very small) dataset of objects that are not in any of the bigger known datasets. My dataset has the following characteristic... | |
# Irreducible non-symmetric matrix with only real eigenvalues
I'm looking for an counterexample.
Some Notation: A matrix $A$ is irreducible if there is no permutation matrix $P$ so that
$$P^{-1} A P = \begin{bmatrix} E & G \\ 0 & F \end{bmatrix}$$
where $E$ and $F$ are square. Two matrices $A$ and $B$ are diagonall... | |
# Chain rule / Taylor expansion / functional derivative
## Homework Statement
To show that ##\rho(p',s)>\rho(p',s') => (\frac{\partial\rho}{\partial s})_p\frac{ds}{dz}<0##
where ##p=p(z)##, ##p'=p(z+dz)##, ##s'=s(z+dz)##, ##s=s(z)##
## Homework Equations
I have no idea how to approach this. I'm thinking functional ... | |
Article Text
Why we should allow performance enhancing drugs in sport
1. J Savulescu1,
2. B Foddy2,
3. M Clayton2
1. 1Uehiro Chair of Practical Ethics, University of Oxford, Oxford, UK
2. 2Murdoch Childrens Research Institute, Melbourne, Victoria, Australia
1. Correspondence to:
Professor Savulescu
Flat 2, 3 Bradmor... | |
# Illustration Energies of an Electron with Antisymmetric Wave Function in the Finite Potential Box (Graph)
Get illustration
Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material for any purpose, even commercially.
Sharing and adapting of the illust... | |
OBJECTIVE—Understanding how individuals weigh the quality of life associated with complications and treatments is important in assessing the economic value of diabetes care and may provide insight into treatment adherence. We quantify patients’ utilities (a measure of preference) for the full array of diabetes-related ... | |
• This event has passed.
# Office of Science Graduate Student Research (SCGSR) Program [Deadline to Apply]
### November 14, 2019
See organizer’ page for details.
The goal of the Office of Science Graduate Student Research (SCGSR) program is to prepare graduate students for science, technology, engineering, or mathe... | |
Show these approximations of $\cos$, $\sin$ and $\tan$ are exact.
A while back I was looking for an approximation to $\cos(x)$ and I constructed a polynomial with zeros in the same places as the first few zeros of $cos(x)$:
$$c_n(x) = \frac{\prod_{i=1}^n (x-(n-\frac12)\pi) (x-(\frac12-n)\pi)}{\text{normalising consta... | |
# The role of wave function in QED
1. Dec 26, 2006
### Quantum River
I am just learning QED and could not understand the role of wave function. Is the basic equation in QED the Schrodinger Equation? Is the difference between Quantum mechanics and QED just they have different Hamiltonians.
I have tried to read the o... | |
## Linear Neural Networks
The linear networks discussed in this section are similar to the perceptron, but their transfer function is linear rather than hard-limiting. This allows their outputs to take on any value, whereas the perceptron output is limited to either 0 or 1. Linear networks, like the perceptron, can on... | |
# Subcritical approximations to stochastic defocusing mass-critical nonlinear Schr\"odinger equation on $\mathbb{R}$
Research paper by Chenjie Fan, Weijun Xu
Indexed on: 22 Oct '18Published on: 22 Oct '18Published in: arXiv - Mathematics - Analysis of PDEs
#### Abstract
We show robustness of various truncated and s... | |
Whitening-Free Least-SquaresNon-Gaussian Component Analysis
# Whitening-Free Least-Squares Non-Gaussian Component Analysis
Hiroaki Shiino Yahoo Japan Corporation
Kioi Tower 1-3 Kioicho, Chiyoda-ku, Tokyo 102-8282, Japan. Nara Institute of Science and Technology
8916-5 Takayama-cho Ikoma, Nara 630-0192, Japan. The Uni... | |
# fano moduli varieties of vector bundles
Let $M$ be a fine moduli space of vector bundles on curve which is an algebraic variety as well. The first example of such an object that I have in mind is rank 2, deg 1 VB on a genus 2 curve. This is an intersection of 2 4-dimensional quadrics, and it is Fano. If I recall cor... | |
# A 100-Year old computer for computing Fourier transforms
Many famous machines have been built to do math — like Babbage’s Difference Engine for solving polynomials or Leibniz’s Stepped Reckoner for multiplying and dividing — yet none worked as well as Albert Michelson’s harmonic analyzer. This 19th century mechanica... | |
# Comma formatted list printer
I'm working on a list practice project from the book "Automate the Boring Stuff with Python" which asks for this:
Write a function that takes a list value as an argument and returns a string with all the items separated by a comma and a space, with and inserted before the last item. For... | |
# Microscopic states of Kerr black holes from boundary-bulk correspondence
• It was claimed by the author that black holes can be considered as topological insulators. They both have boundary modes and those boundary modes can be described by an effective BF theory. In this paper, we analyze the boundary modes on the ... | |
ch_egor's blog
By ch_egor, 19 months ago, translation,
Hi!
This Sunday will take place All-Russian olympiad for students of 5-8 grades, in the name of Keldysh. Good luck to all the participants! Olympiad is conducted under the guidance of the Moscow Olympiad Scientific Committee, in particular GlebsHP, ch_egor, Enda... | |
2. (16 pts.) Consider the following relations on Z.
R1 = {(x; y) | y = x + 1}
R2 = {(x; y) | y = x - 1}
R3 = {(x; y) | y = 2x + 1}
R4 = {(x; y) | y = 2x - 1}
Describe each of the following composite relations in set builder notation.
R1 oR1 R1 o R2 R1 o R3 R1 o R4
R2 oR... | |
# calculus
Use integration by parts to evaluate the integral of x*sec^2(3x).
([x*tan(3x)]/3)-[ln(sec(3x))/9]
but it's incorrect.
u=x dv=sec^2(3x)dx
du=dx v=(1/3)tan(3x)
[xtan(3x)]/3 - integral of(1/3)tan(3x)dx
- (1/3)[ln(sec(3x))/3]
- [ln(sec(3x))/9]
What am I doing wrong?
1. 0
1. integral of(1/3)tan(3x)dx
= (1/3... | |
A- A+
Alt. Display
# Sources of variation in simulated ecosystem carbon storage capacity from the 5th Climate Model Intercomparison Project (CMIP5)
## Abstract
Ecosystem carbon (C) storage strongly regulates climate-C cycle feedback and is largely determined by both C residence time and C input from net primary prod... | |
# pvlib.solarposition.declination_spencer71¶
pvlib.solarposition.declination_spencer71(dayofyear)[source]
Solar declination from Duffie & Beckman and attributed to Spencer (1971) and Iqbal (1983).
See 1 for details.
Warning
Return units are radians, not degrees.
Parameters
dayofyear (numeric) –
Returns
declina... | |
# On eigenvalues of a high-dimensional spatial-sign covariance matrix
Sample spatial-sign covariance matrix is a much-valued alternative to sample covariance matrix in robust statistics to mitigate influence of outliers. Although this matrix is widely studied in the literature, almost nothing is known on its propertie... | |
Categories
# Birth Rates and Life Expectancy
Bad enough, that we have to read und hear current failures of thought by right wing populists (article in German only) and many relativizations (comments in German only). It seems like 70 years of History class did not help to stop utter racism in public debate.
What, how... | |
# 8.11 Unbalanced force system (Page 3/3)
Page 3 / 3
As a matter of fact, this velocity profile is typical of any vehicle, which is first accelerated, then run with minimum acceleration or even zero acceleration and finally brought to rest with constant deceleration.
We work out an example for studying motion unde... | |
Courses
Courses for Kids
Free study material
Free LIVE classes
More
# $\int\limits_{0}^{\dfrac{\pi }{2}}{\dfrac{d\theta }{1+\tan \theta }}$ is equal to:A. $\pi$B. $\dfrac{\pi }{2}$C. $\dfrac{\pi }{3}$D. $\dfrac{\pi }{4}$
Last updated date: 16th Mar 2023
Total views: 304.5k
Views today: 7.84k
Verified
304.5k+ views
Hi... | |
# Straight lines divide the circumference of the circle $x^2+y^2=100$ into two arcs whose lengths are in the ratio $3:1$
Find the equation of straight lines which pass through $(7,1)$,and divide the circumference of the circle $x^2+y^2=100$ into two arcs whose lengths are in the ratio $3:1$
My attempt:
As the requir... | |
### Home > CC2 > Chapter 6 > Lesson 6.1.3 > Problem6-30
6-30.
Write an algebraic expression for each situation. For example, $5$ less than a number can be expressed as $n-5$.
1. $7$ more than a number
This is similar to the given example.
What operation is used to make a number larger?
1. Twice a number
What oper... | |
# Math Insight
### Solving single autonomous differential equations using graphical methods
#### Video introduction
A graphical approach to solving an autonomous differential equation.
#### Overview
One can understand an autonomous differential equation of the form \begin{align} \diff{x}{t} &= f(x)\\ x(t_0) &= x_0... | |
# Spring Mass System
## What is Spring Mass System?
Consider a spring with mass m with spring constant k, in a closed environment spring demonstrates a simple harmonic motion.
T = 2π √m/k
From the above equation, it is clear that the period of oscillation is free from both gravitational acceleration and amplitude. ... | |
# Why do physicists use plane waves so much?
When looking at solutions of the Dirac equation people tend to give solutions as $$\psi^{(1)} = e^{\frac{-imc^2t}{\hbar}}\begin{pmatrix}1\\0\\0\\0\\\end{pmatrix},\psi^{(2)} = e^{\frac{-imc^2t}{\hbar}}\begin{pmatrix}0\\1\\0\\0\\\end{pmatrix},\psi^{(3)} = e^{\frac{imc^2t}{\hb... | |
# Jetson Nano + IMX327 (Low Light Camera) doesn't work.
Dear all,
Acquiring the Sony IMX327 (MIPI 2lanes) camera, I am trying to get it works on the Nano.
But I have a problem using the gstreamer command:
``````gst-launch-1.0 nvarguscamerasrc ! 'video/x-raw(memory:NVMM),width=3820, height=2464, framerate=21/1, form... | |
affine transformations, strategy for finding invariant straight lines
At first lets introduce some notation.
$\mathcal{A}^n$ is a $n-$dimensional affine space and $V$ is its associated vector space. For any affine subspace of $\mathcal{M}$, its associated vector space it would be denoted as $V_{\mathcal{M}}$.
For th... | |
# Probability, Expectation, Cov
• August 14th 2009, 04:28 AM
Maccaman
Probability, Expectation, Cov
Let X and Y be 2 random variables with $|\mathbb{E}[X]|, |\mathbb{E}[Y]|,$and $|\mathbb{E}[\frac{X}{Y}]|$ all finite, and with $\mathbb{P}(Y = 0) = 0$ and $\mathbb{E}[Y] \ne 0$.
Prove that $\mathbb{E}[\frac{X}{Y}] = \fr... | |
Question
(a) An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner’s 2.00 T field with his fingers pointing in the direction of the field. Find the average emf induced in his wedding ring, given its diameter is 2.20 cm and assuming it takes 0.250 s to move it into the fi... | |
# $\omega$-consistency and related terms
We know that a theory $T$ is $\omega$-inconsistent if there is a formula $\psi$ such that $T$ proves $(\exists x)\psi(x)$, and $T$ also proves $\lnot \psi(n)$ separately for each standard natural number $n$. So $T$ is $\omega$-consistent if it is not $\omega$-inconsistent.
Is ... | |
How to be a good cop on the problem-solving beat
Guy Blelloch is best known for his seminal work on parallel computing; if you need advice on parallelism he is the one to ask. Not surprisingly, he is a strong advocate of parallel programming. See his essay, “Is Parallel Programming Hard?” Spoiler alert: he argues that... | |
TheInfoList
OR:
The speed of light in
vacuum A vacuum is a space devoid of matter. The word is derived from the Latin adjective ''vacuus'' for "vacant" or " void". An approximation to such vacuum is a region with a gaseous pressure much less than atmospheric pressure. Physicists ofte ...
, commonly denoted , is a uni... | |
# The Explore-Exploit Dilemma in Media Consumption
How much should we rewatch our favorite movies (media) vs keep trying new movies? Most spend most viewing time on new movies, which is unlikely to be good. I suggest an explicit Bayesian model of imprecise ratings + enjoyment recovering over time for Thompson sampling... | |
# Ngô Quốc Anh
## August 17, 2010
### Evaluate complex integral via the Fourier transform
Filed under: Giải tích 7 (MA4247) — Tags: — Ngô Quốc Anh @ 5:56
As suggested from this topic, we are interested in evaluating the following complex integral
$\displaystyle G(t)=\mathop {\lim }\limits_{A \to \infty } \int\limi... | |
# Tag Info
35
Actually, it doesn't have the same mass, it has significantly less mass than its precursor star. Something like 90% of the star is blown off in the supernova event (Type II) that causes the black holes. The Schwarzschild radius is the radius at which, if an object's mass where compressed to a sphere of ... | |
# Simplifying F# Type Provider Development
| Posted by Dave Fancher 0 Followers on Feb 13, 2015. Estimated reading time: 9 minutes |
A note to our readers: You asked so we have developed a set of features that allow you to reduce the noise: you can get email and web notifications for topics you are interested in. Lea... | |
NZ Level 7 (NZC) Level 2 (NCEA)
Domain and Range of Absolute Value Functions II
## Interactive practice questions
Consider the function that has been graphed.
a
What is the domain of the function?
all real $x$x
A
$x<3$x<3
B
$x\ge0$x0
C
$x>0$x>0
D
all real $x$x
A
$x<3$x<3
B
$x\ge0$x0
C
$x>0$x>0
D
b
... | |
I am read this paragraph and I have a doubt.
"An adversary to PKC $\Pi$ is given by two probabilistic polynomial time algorithms, $A = (A1; A2)$. In the first stage, the "find" stage, the adversary analyzes the public key and tries to determine which plaintexts, when encrypted, are vulnerable to attack. This is the jo... | |
# How do you graph y-x=0?
Jan 17, 2017
see explanation.
#### Explanation:
The equation $y - x = 0$ may be written as follows.
add x to both sides of the equation.
$y \cancel{- x} \cancel{+ x} = 0 + x$
$\Rightarrow y = x \text{ is the equation}$
This tells us that the x and y coordinates are equal.
To graph, ch... | |
Elias Koutsoupias
Professor of Computer Science
University of Athens
Panepistimiopolis, Ilissia
Athens 15784
Greece
phone: +30 210 7275122
fax: +30 210 7275114
G. Christodoulou and E. Koutsoupias. The price of anarchy of finite congestion games. STOC, pages 67--73, Baltimore, MD,USA, 22--24 May, 2005.
### Abstract
... | |
## Preprint ims99-2
V. Kaloshin
Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits
Abstract: Consider a compact manifold M of dimension at least 2 and the space of $C^r$-smooth diffeomorphisms Diff$^r(M)$. The classical Artin-Mazur theorem says that for a dense subset D of Diff$^r(M)$ t... | |
Article| Volume 100, ISSUE 6, P1568-1577, March 16, 2011
# Identifying Molecular Dynamics in Single-Molecule FRET Experiments with Burst Variance Analysis
Open Archive
## Abstract
Histograms of single-molecule Förster resonance energy transfer (FRET) efficiency are often used to study the structures of biomolecules... | |
# Stimuli provider (Environment)¶
## Introduction¶
The database section must feed a stimuli provider (or environment), which is instantiated with a section named sp (or env) in the INI file. When the two sections are present in the INI file, they are implicitly connected: the StimuliProvider is automatically aware of... | |
## Number of Components in a Second Order System
We can write second order systems as a matrix. Any second order system can be written
$\mathbf{a}_{ij}$
or as a matrix.
$\left( \begin{array}{ccc} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array} \right)$
In general the
$\mat... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.