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How do you simplify i^21 + i^30?
1 Answer
Nov 13, 2015
$i - 1$
Explanation:
Observe that the powers of $i$ are cyclic:
${i}^{0} = 1$
${i}^{1} = i$
${i}^{2} = - 1$
${i}^{3} = - i$
${i}^{4} = 1$
$\ldots$
So, to find high powers of $i$, we can calculate the modulus $4$ Since $21 = 5 \cdot 4 + 1$, and $30 = 7 \cdot 4... | {} |
# Does either Quantum Field Theory or the Standard Model of Particle Physics predict the maximum number of particles or fields that can exist?
Perhaps since the Standard Model relies heavily on the symmetries of chosen groups do either or both theories demand a maximum number of particles or fields that are allowed to... | {} |
# Tag Info
Accepted
### Are calculus and differential geometry required for building neural networks?
Neural networks are essentially just repeated matrix multiplications and applications of an activation function, so you really don't need a great deal of linear algebra to construct a simple neural ...
• 970
Accepte... | {} |
# Extremely ($90$%) biased coins. What information can we derive/assume based on results of only $10$ coin flips?
Let's suppose there are $2$ heavily biased coins such that coin A has a bias of coming up $90$% heads and coin B has a bias of coming up $90$% tails. Both coins are placed in a bag and one is randomly chos... | {} |
# balancing redox reactions half reaction method
In the above equation, there are $$14 \: \ce{H}$$, $$6 \: \ce{Fe}$$, $$2 \: \ce{Cr}$$, and $$7 \: \ce{O}$$ on both sides. not have to do anything. The OH- ions, Then, on that side of the equation which contains both (OH. This is called the half-reaction method of balanc... | {} |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 20 Mar 2019, 08:57
### 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... | {} |
SERVING THE QUANTITATIVE FINANCE COMMUNITY
qinnanjoshua
Topic Author
Posts: 1
Joined: September 2nd, 2013, 2:42 pm
### A probability question
Two analysts make prediction of the movement of a stock separately. Analyst A have an accuracy of $p_1$, which means his prediction is correct at the probability of $p_1$, whi... | {} |
## Abstract
This study empirically investigates the relationship between retirement duration and cognition among older Irish women using microdata collected in the third wave of The Irish Longitudinal Study on Ageing. Ordinary least squares (OLS) regression estimates indicate that the longer an individual has been ret... | {} |
# Generate the shortest De Bruijn
A De Bruijn sequence is interesting: It is the shortest, cyclic sequence that contains all possible sequences of a given alphabet of a given length. For example, if we were considering the alphabet A,B,C and a length of 3, a possible output is:
AAABBBCCCABCACCBBAACBCBABAC
You will ... | {} |
#### Volume 12, issue 2 (2012)
Recent Issues
The Journal About the Journal Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Subscriptions Author Index To Appear Contacts ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Free group automorphisms with parabolic boundary ... | {} |
# A failure of formats
I have a very long diatribe on the state of document editors that I am working on, and almost anyone that knows me has heard parts of it, as I frequently rail against all of them: MS Word, Google Docs, Dropbox Paper, etc. In the process of writing up my screed I started thinking what a proper do... | {} |
# Chapter 16 - Questions and Problems - Page 771: 16.29
$[H_3O^+] = 2.51 \times 10^{- 5}M$
#### Work Step by Step
1. Calculate the pH. pOH + pH = 14 9.4 + pH = 14 pH = 4.6 2. Find $[H_3O^+]$ $[H_3O^+] = 10^{- 4.6}$ $[H_3O^+] = 2.51 \times 10^{- 5}$
After you claim an answer you’ll have 24 hours to send in a draft. ... | {} |
# Why does bromine water make the viscosity of olive oil increas? [duplicate]
1. Olive oil consists of almost 100% of fat. As you can see in the table of contents below, it includes both unsaturated, monounsaturated and polyunsaturated fats in the oil.
Nutrition declaration per 100 ml (= 92 g) Energy 3390kJ / 823 Kca... | {} |
Skip to main content
# 11: Chi-Square and ANOVA Tests
This chapter presents material on three more hypothesis tests. One is used to determine significant relationship between two qualitative variables, the second is used to determine if the sample data has a particular distribution, and the last is used to determine ... | {} |
+0
# precalc
0
44
2
+4
Can someone help me with this very complex question? I don't even know where to start.
Jan 27, 2023
#1
0
Using row properties of matrices:
$$\mathbf{A} \mathbf{u} = (2, 6, -2)$$
$$\mathbf{A} \mathbf{v} = (-2, 8, 12)$$
Jan 27, 2023
#2
0
Hi!
In these type of problems, you should start by... | {} |
# Analysis of Discrete Data #1 – Overview
Posted on September 11, 2014 by
This lesson is an overview of the course content as well as a review of some advanced statistical concepts involving discrete random variables and distributions, relevant for STAT 504 — Analysis of Discrete Data. This Lesson assumes that you ha... | {} |
# Is ESG a Factor?
July 2020
Read Time: 20 min
Save
Key Points
• Increasingly, investors are asking if ESG is a factor. We answer this question using the criteria set forth by our Research Affiliates colleagues in their 2016 Graham and Dodd Scroll–winning article, “Will Your Factor Deliver? An Examination of Factor Ro... | {} |
# Prove sequent using natural deduction
I need to prove the following predicate logic sequent using natural deduction:
$\exists y \forall x (P(x) \rightarrow x = y) \vdash \forall x \forall y (P(x) \land P(y) \rightarrow x = y)$
This is my half-finished proof. I hope I'm on the right track but there is something abo... | {} |
# Malformed bcf file not recreated by latexmk after error
I'm using latexmk with pdflatex to compile my thesis, with biblatex for references and biber as backend. It compiles fine and creates correct PDF output. If a change to the source files introduces an error the first run of pdflatex fails but a bcf file is creat... | {} |
Infoscience
Journal article
# Dynamic Measurement of Room Impulse Responses using a Moving Microphone
A novel technique for the recording of large sets of room impulse responses or head-related transfer functions is presented. The technique uses a microphone or a loudspeaker moving with constant speed. Given a setup... | {} |
+0
# complex analysis
0
925
2
α-iβ=1/(a-ib)
then prove that(α22)(a2+b2)=1
Mar 24, 2015
#2
+892
+13
On the assumption that alpha, beta, a and b are real,
$$\alpha -\imath \beta=\frac{1}{a-\imath b}=\frac{a+\imath b}{a^{2}+b^{2}}.$$
Taking the complex conjugate of both sides,
$$\alpha + \imath\beta=\frac{a-\ima... | {} |
## Online Encylopedia and Dictionary Research Site
Online Encyclopedia Search Online Encyclopedia Browse
# Mathematical coincidence
In mathematics, a mathematical coincidence can be said to occur when two expressions show a near-equality that lacks direct theoretical explanation. One of the expressions may be an ... | {} |
# Computing a Double Limit
How would one compute $\lim_{\delta \rightarrow 0, k\rightarrow\infty} (1+\delta)^{ak}$, where $a$ is some positive constant?
I am finding a lower-bound of the Hausdorff Dimension on a Cantor-like set and this expression appeared in my formula.
Here's what I have, even though I'm not sure ... | {} |
# Best response polytopes¶
Another useful representation of games is to consider polytopes. A polytope $\mathcal{P}$ has the following definition:
## Definition of a Polytope as a convex hull¶
For a given set of vertices $V\in\mathbb{R} ^ K$, a Polytope $\mathcal{P}$ can be defined as the following set of points:
$... | {} |
# Mean Value Theorem Question
by calcnd
Tags: theorem
P: 20 Use the Intermediate Value Theorem and/or the Mean Value Theorem and/or properties of $$G'(x)$$ to show that the function $$G(x) = x^2 - e^{\frac{1}{1+x}}$$ assumes a value of 0 for exactly one real number x such that 0 < x < 2 . Hint: You may assume that $$... | {} |
# the product of finkelstein reaction
It is used to synthesize one alkyl halide from another. Alkyl halides differ greatly in the ease with which they undergo the Finkelstein reaction. products, since KCl and KBr are insoluble in acetone and are consequently As the sodium iodide is soluble in the acetone, but the sodi... | {} |
## The Algebra and Geometry of Square Root
If we have a square with a given area, then we can find the length of its side. For example, a square with area 4 square units has a side length of 2 units. In other words, in finding the side length of a square with area 4 square units,we are looking for a number that is equ... | {} |
# Showing coercivity of the bilinear form associated with a robin boundary value problem
I'm trying to show the existence and uniqueness of weak solutions to the following boundary value problem: \begin{align} -\nabla \cdot ( k \nabla u) &= f \quad \text{in } \Omega \subset \mathbb{R}^n\\ -k \nabla u \cdot \boldsymbol... | {} |
# Properties
Label 720.2.q.e Level $720$ Weight $2$ Character orbit 720.q Analytic conductor $5.749$ Analytic rank $0$ Dimension $2$ CM no Inner twists $2$
# Related objects
## Newspace parameters
Level: $$N$$ $$=$$ $$720 = 2^{4} \cdot 3^{2} \cdot 5$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 72... | {} |
Tài liệu
# Applications of Electrostatics
Science and Technology
The study of electrostatics has proven useful in many areas. This module covers just a few of the many applications of electrostatics.
# The Van de Graaff Generator
Van de Graaff generators (or Van de Graaffs) are not only spectacular devices used to... | {} |
# C. Sean Burns: Notebook
### Site Tools
linux:console-setup
For Linux virtual consoles, the Terminus font works fine on my laptops, but on my desktop, the same font and font size that I use in the laptops is over-sized and looks like banner text. Installing the psf-unifont helped a bit for desktop/console work. Not... | {} |
## Permutation formula calculator online
Probability online calculation: Combinations, permutations - Calculates nPr and nCr for n and r.
Permutation Generator; Permutations/Anagrams Calculator; What is a permutation? (Definition); How to generate permutations? How to count permutations? Permutation calculator. Compu... | {} |
# All Questions
1k views
### What is a type in Wolfram Mathematica programming language?
"Everything is an expression" is a popular citation from many Mathematica guidebooks. So, what is type in Mathematica? How does it relate to common types from Haskell, for example? I did some ...
1k views
### Replacing composit... | {} |
## anonymous one year ago how do i solve this problem on a calculator? : sin^2(pi/3) - cos^2(pi/3)
1. UnkleRhaukus
( sin π/3 ) ^2 - ( cos π/3 ) ^2 =
2. anonymous
you do not need a calulator for this do you know what $$\sin(\frac{\pi}{3})$$ is? | {} |
Need help with math problems
Percent math problems with detailed solutions. Problems that deal with percentage increase and decrease as well as problems of percent of quantities. Mixture problems involving percentages as well as percentage of areas are included.
The Math extension (or, more broadly, the rendering of ... | {} |
# Conflict between predicated outcomes in logistic regression
I was using caret in R to use logistic regression to make prediction. I only have one predictor named OEI and the outcome variable is pass/fail. However, although I was able to perform that task and get confusion matrix, etc, I was trapped in a conceptual q... | {} |
# Description
In this paper, the authors propose a method to measure biometrics from fetal ultrasound (US), in particular the abdominal circumference (AC) extracted from an ellipse. To do so, they propose a simple CNN architecture that resemble an FCNN but at the same time regresses the parameters of the ellipse. C.f.... | {} |
# Do gravitational waves create 'drag' in space?
I was thinking about the way you measure gravitational waves. What you do is you measure how they affect a bunch of particles. Affecting something means transferring some mass/energy to it, according to my layman knowledge.
So let's do a thought experiment. You have a ... | {} |
# Square Roots of Decimals:
Consider sqrt 17.64
Step 1: To find the square root of a decimal number we put bars on the integral part (i.e., 17) of the number in the usual manner. And place bars on the decimal part (i.e., 64) on every pair of digits beginning with the first decimal place. Proceed as usual.
We get ba... | {} |
# Math Help - Buoyancy Force Question
1. ## Buoyancy Force Question
Hi,
I am looking to investigate the buoyancy force of a cuboid. The dimensions of the cuboid are 30cm x 20cm x 15 cm. When the cuboid is placed in the water (the face 30cm x 20cm faces the water), 4cm of the cuboid will be submerged. If I push the cu... | {} |
# If 3^m = 2 and 4^n =27, show by laws of indices that m xx n =3/2??
Feb 22, 2018
see a solution process below;
#### Explanation:
${3}^{m} = 2 \mathmr{and} {4}^{n} = 27$
Note, we can also use Law or Logarithm to solve this;
${3}^{m} = 2$
Log both sides..
$\log {3}^{m} = \log 2$
$m \log 3 = \log 2$
$m = \log \... | {} |
# Recent results and prospects from the NA62 experiment at CERN
Particle Physics Theory seminar
#### Recent results and prospects from the NA62 experiment at CERN
• Event time: 2:00pm
• Event date: 25th October 2017
• Speaker: Cristina Lazzeroni (Birmingham University)
• Location: Higgs Centre Seminar Room, Room 430... | {} |
## C Specification
The VkImageMemoryRequirementsInfo2 structure is defined as:
// Provided by VK_VERSION_1_1
typedef struct VkImageMemoryRequirementsInfo2 {
VkStructureType sType;
const void* pNext;
VkImage image;
} VkImageMemoryRequirementsInfo2;
or the equivalent
// Provided by VK_KHR_get_mem... | {} |
## anonymous one year ago Is there a way to tell if an equation is a cardioid or a limacon without graphing it? I'm supposed to tell what shape r=2+2sin theta is, but cardioid and limacon equations look the same. I know cardioids come from limacons, so maybe I should say that.
1. anonymous
@Astrophysics if you aren't... | {} |
Writing Some Special Matrices in LaTeX
I've to write the following matrices in LaTex.
Any help in this regard will be highly appreciated.
-
migrated from stats.stackexchange.comApr 12 '11 at 5:33
This question came from our site for people interested in statistics, machine learning, data analysis, data mining, and... | {} |
mersenneforum.org 29 to 30 bit large prime SNFS crossover
Register FAQ Search Today's Posts Mark Forums Read
2014-05-16, 03:30 #1 VBCurtis "Curtis" Feb 2005 Riverside, CA 4,211 Posts 29 to 30 bit large prime SNFS crossover Conclusion: SNFS-213 is a bit faster using 30-bit large primes than 29. The default factms... | {} |
Students of Jeremy L. Martin
Current Students
Ken is a PhD student currently studying generalizations of the chip-firing model and connections to toric varieties.
Bennet is a PhD student studying structural problems on simplicial complexes. He, Art Duval, Caroline Klivans and I constructed a nonpartitionable Cohen-M... | {} |
## Triangulations of hyperbolic 3-manifolds admitting strict angle structures.(English)Zbl 1262.57018
It is conjectured that every cusped hyperbolic $$3$$-manifold admits a geometric triangulation, that is, each tetrahedron of the triangulation is a positive volume ideal hyperbolic tetrahedron. A necessary condition o... | {} |
This is the master page for Notes on Machine Learning posts, in which I summarize in a succinct and straighforward fashion what I learn from Machine Learning course by Mathematical Monk, along with my own thoughts and related resources.
Acronyms
• MM: Mathematical Monk
• ML: Machine Learning
• SL: Supervised Learning... | {} |
# Discrete Math
$$\overline{\bar{A}} = A$$ $$\overline{A ∪ B} = \bar{A} ∩ \bar{B}$$ $$\overline{A ∩ B} = \bar{A} ∪ \bar{B}$$ Let $f(x) = a_nx^n + a_{(n-1)}x^{(n-1)} + ... + a_1x + a_0.$ Then $f(x) = O(x^n).$ $${n \choose r}$$ $$\lceil N/k \rceil$$ $$P(n,r) = \frac{n!}{(n - r)!}$$ $$C(n,r) = \frac{n!}{r!(n - r)!}$$ $$(... | {} |
# Evaluation of a complete homogeneous symmetric polynomial related to Stirling number of 2nd kind
It is well known that the complete homogeneous symmetric polynomial $$h_{n-k}(1,\,2,\,3, ...,\,k-1,\,k)$$ equals $$S(n,\,k)$$ the Stirling number of the second kind. [Wikipedia]
During a research project I stumbled upon... | {} |
# Does real*real*real... = imaginary? $x\cdot x\cdot x\cdot x\cdot x\ ...\ =\ i, x \in \mathbb{R}$
Please be advised as is pointed out below, the video was incorrect and this: $$x=e^{\frac{\pi}{2}} \Rightarrow x^{x^{x^{x^{...}}}} = i$$Is completely false!
I recently watched the video by real^real^real^... = imaginary... | {} |
# Looking at the equation of a reaction, how do we know it is endotermic or exotermic
For example, $MnCO_3 → MnO + CO_2$ is endotermic, and occurs at 473 K
the polymerization of ethylene $H_2C=CH_2$ to $n(H_2C=CH_2)$ is exotermic
I suspect it has something to do with the standard enthalpy of formation of the differe... | {} |
# Coupled oscillators - mode and mode co-ordinates
1. Apr 19, 2010
### joriarty
For this question I'm not going to introduce the particular problem I am working on, rather, I am merely wanting some explanation of a concept which I can't seem to find in any of my textbooks. I suspect the authors think it is just too ... | {} |
Unlimited Plugins, WordPress themes, videos & courses! Unlimited asset downloads! From \$16.50/m
# Making a Theme With Bones: Finishing Off
Difficulty:IntermediateLength:ShortLanguages:
We are using a starter theme to build a new site.
We're going to follow straight on from the previous tutorial in this series. So ... | {} |
# An update on differentiation theorems
Malabika Pramanik and I have just uploaded to the arXiv the revised version of our paper on differentiation theorems. The new version is also available from my web page.
Here’s what happened. In the first version, we proved our restricted maximal estimates (with the dilation pa... | {} |
# zbMATH — the first resource for mathematics
## International Journal of Combinatorics
Short Title: Int. J. Comb. Publisher: Hindawi, New York, NY ISSN: 1687-9163; 1687-9171/e Online: http://www.hindawi.com/journals/ijct/contentshttp://www.emis.de/journals/HOA/IJCT/index.html Comments: No longer indexed; The journa... | {} |
Moment of Inertia Problem
Homework Statement
A wheel, with circumference 0.6 m and moment of inertial 43 kg m2 about its center, rotates about a frictionless axle with angular velocity 13 radians per second. A brake is applied which supplies a constant force to a point on the perimeter of the wheel of 9 N, tangent to... | {} |
# This Question: 2 pts For the given functions fand g, find (f.g)(x). f(x) = 5x +...
###### Question:
This Question: 2 pts For the given functions fand g, find (f.g)(x). f(x) = 5x + 2, g(x) = 6x + 6 O A. 30x2 + 12 O B. 30x2 + 18x + 12 O C. 30x2 +42x + 12 O D. 11x2 + 42x + 8 Mika's ag rages wil es us r = oblems in t p... | {} |
0th
Percentile
##### Read a FASTA file
Read a FASTA file
##### Usage
read_fasta(file_path, subset = NULL)
##### Arguments
file_path
(character of length 1) The path to a file to read.
subset
(numeric) Indexes of entries to return. If not NULL, the file will first be indexed without loading the whole file into RAM.
... | {} |
NAG Library Function Document
1Purpose
nag_pde_interp_1d_fd (d03pzc) interpolates in the spatial coordinate the solution and derivative of a system of partial differential equations (PDEs). The solution must first be computed using one of the finite difference schemes nag_pde_parab_1d_fd (d03pcc), nag_pde_parab_1d_fd... | {} |
# zbMATH — the first resource for mathematics
On the dimension of the $$l_ p^ n$$-subspaces of Banach spaces, for $$1 \leq p < 2$$. (English) Zbl 0509.46016
##### MSC:
46B20 Geometry and structure of normed linear spaces 60B11 Probability theory on linear topological spaces 46B25 Classical Banach spaces in the gener... | {} |
# Not able to delete n
Stack Overflow Asked by user13645394 on August 26, 2020
Maybe a very simple answer but I cannot seem to get rid of a newline character.
I have a list that contains a list and it looks like this:
[['US', ' 146465', ' 146935', ' 148012', ' 149374', ' 150822', ' 152055', ' 153315', ' 1544... | {} |
# GNU social Coding Style
Please comply with PSR-12 and the following standard when working on GNU social if you want your patches accepted and modules included in supported releases.
If you see code which doesn't comply with the below, please fix it :)
GNU social is written with multiple programming paradigms in di... | {} |
# The governor effort is the force applied for:
1. 10% change in speed
2. 1% change in speed
3. 50% change in speed
4. 100% change in speed
Option 2 : 1% change in speed
## Terminologies in Governor MCQ Question 1 Detailed Solution
Explanation:
Governor Effort
• It is the force exerted by the governor at the slee... | {} |
# Math Help - maximizing largest area of rectangle within a circle
1. ## maximizing largest area of rectangle within a circle
find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r
circle:x^2+y^2=r^2
area of the rectangle = 2x2y
y = root(r^2-x^2)
area=(4x)[root(r^2-x^2)]
Ar... | {} |
#### Volume 16, issue 2 (2012)
Recent Issues
The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Other MSP Journals
The Dirichlet Problem ... | {} |
Contents
Contents
Idea
Boundary separation is a modular reconstruction of the uniqueness of identity proofs in cubical type theory. It is a rule which implies UIP as a theorem.
Definition
Recall that in cubical type theory, there is an interval primitive $I$ with endpoints $0:I$ and $1:I$, as well as face formulas... | {} |
Real-time data cluster
Instead of one large instance, our RDB will now be a cluster of smaller instances and the day’s real-time data will be distributed between them. An Auto Scaling group will be used to maintain the RAM capacity of the cluster. Throughout the day more data will be ingested by the tickerplant and ad... | {} |
Radiometry is a set of techniques for measuring electromagnetic radiation, including visible light. Radiometric techniques in optics characterize the distribution of the radiation's power in space, as opposed to photometric techniques, which characterize the light's interaction with the human eye. Radiometry is distinc... | {} |
# Changes in doc/groups.dox[318:1e2d6ca80793:1023:e0cef67fe565] in lemon
Ignore:
File:
1 edited
### Legend:
Unmodified
r318 * This file is a part of LEMON, a generic C++ optimization library. * * Copyright (C) 2003-2008 * Copyright (C) 2003-2010 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport * (Egervar... | {} |
# 1. In a random sample of 15 CD players brought in form repair, the average repair cost was $80 and the sample standard deviation was$14. Construct a 90% confidence interval for. Assume the repair costs are normally distributed and there are no outliers.
Question
1. In a random sample of 15 CD players brought in for... | {} |
## physics
If an electric vehicle can store 100 Kwh of energy in its battery, how much does it cost at $0.05/Kwh to fully charge this car? ## Answers (4) • ## You need a Homework Help subscription to view this answer! ### Chegg Homework Help subscribers get: • Full access to our library of 2 million Q&A posts • 24/7 h... | {} |
Now Playing
10/21/2013 2:49PM
Nico Muhly's 'Two Boys': A Preview
A preview of "Two Boys," an opera by Nico Muhly that explores the dark side of the internet and opens Oct. 21 at the Metropolitan Opera.
This transcript has been automatically generated and may not be 100% accurate.
I ... the the the the the the ... ... | {} |
Calculus without limits
# Mandelstuff
Mandelbrot hyped in 1982/1983. As a first year student, I had spent almost all my free time programming on early Apple computers. At that time, students would work mostly in labs [I still had still a cheap Tandy imitation at home with audio tape backup and Basic programming langu... | {} |
## Leishmaniasis
Yesterday I heard a talk by Ingrid Müller from Imperial College about leishmaniasis, a disease caused by protozoa of the genus Leishmania. The genus is named after the Scottish pathologist and army medical officer William Leishman. The life cycle of the parasite is of a similar type to that of the org... | {} |
Relation between amplitude and frequency
PhysicsWaves
Class 11th Physics - Elasticity
6 Lectures 1 hours
Class 11th Physics - Oscillations
12 Lectures 2 hours
Class 11th Physics - Waves
14 Lectures 3 hours
Introduction
The aspects of amplitude and frequency are associated with the waveforms. Amplitude is depic... | {} |
Discussion Forum
Problem on June 8, 2017
Re: Problem on June 8, 2017
Hey Maddy, sorry for the late response. The correct answer is indeed $74$. We corrected the problem and the display issues in the solution. Thank you for letting us know! | {} |
# WebInspect Fails to Start
WebInspect froze up on a user and they killed the process. Since then, when started, the WebInspect splash screen reports 99% loaded but thats as far as it gets. The process monitor shows that it's spawning a new browser session about every 8 seconds, consuming an increasing amount of syste... | {} |
# polyscale
Scale roots of polynomial
## Syntax
```b = polyscale(a,alpha) ```
## Description
`b = polyscale(a,alpha)` scales the roots of a polynomial in the z-plane, where `a` is a vector containing the polynomial coefficients and `alpha` is the scaling factor.
If `alpha` is a real value in the range `[0 1]`, th... | {} |
## Find the amount of subgroups of order \$3\$ and \$21\$ in non-cyclic abelian group of order \$63\$
Find the amount of subgroups of order $$3$$ and $$21$$ in non-cyclic abelian group of order $$63$$.
In first case I found the amount of elements that have order $$3$$ – there are $$8$$ of them, in second case there a... | {} |
# Understanding notation in proof of probability integral transform
I'm attempting to understand one line of the proof for the probability integral transform as found on wikipedia:
Suppose that a random variable $$X$$ has a continuous distribution for which the cdf is $$F_X$$. Then the random variable $$Y = F_X(X)$$ ... | {} |
## The abstract concept of Duality and some related facts
### Lundi 3 novembre 2008 14:00-15:00 - V. milman - Tel Aviv
Résumé : We discuss in the talk an unexpected observation that very minimal basic properties essentially uniquely define some classical transforms which traditionally are defined in a concrete and qu... | {} |
# How can I add custom HTML code to the beginning and end of the body element with tex4ht?
I need to convert a Latex document to several HTML files. I'm using tex4ht for this. What I need next is to add some features to the web pages. I managed to add the needed extra elements in the head section by writing a .cfg fil... | {} |
# Math Help - The Maximal ideals of R[x]
1. ## The Maximal ideals of R[x]
So I am in the process of trying to do a proof, and I need show that the maximal ideals in $\mathbb{R}[x]$ are the irreducible polynomials of the form
What I am confused about is: why can't a polynomial with degree >2, generate a maximal ideal... | {} |
# Minimum base current for transistor amplifier
A transistor, say $NPN$, can be used as an amplifier. It amplifies base current by a factor beta. Is there a minimum base current threshold below which it cannot amplify? Say, are there transistors which can amplify femtoampere?
• The beta coefficient is not the exact g... | {} |
# Lesson Title
## Timing
Leave about 30 minutes at the start of each workshop and another 15 mins at the start of each sesson for technical difficulties like WiFi and installing things (even if you asked students to install in advance, longer if not).
## Pulling in data
The easiest way to get the data used in this ... | {} |
## Intransitive dice VII — aiming for further results
While Polymath13 has (barring a mistake that we have not noticed) led to an interesting and clearly publishable result, there are some obvious follow-up questions that we would be wrong not to try to answer before finishing the project, especially as some of them s... | {} |
# Using Constants in Headers
This topic is 1882 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
Hello,
I have been running into a problem in my code lately. I have a file called "Constants.h" and one called "Constants.cpp." I define all my co... | {} |
Two charges, -2.1 uC and -4.3 uC, are located at (-0.60 m, 0) and (0.60 m, 0), respectively. There is a point on the x-axis between the two charges where the electric field is zero.
A) Is that point left of the origin, at the origin, or right of the origin?
*left of the origin*
B)Find the location of the point where ... | {} |
Free Version
Easy
# Finding Average Velocity of a Particle
APCALC-MNLSRT
The velocity, in $\text{ft/sec}$, of a particle moving along the $x$-axis is given by the function $v(t)={ e }^{ 2t }-{ e }^{ t }$. What is the average velocity of the particle from time $t=0$ to $t=4$?
A
$359.095\text{ ft/sec}$
B
$1436.381... | {} |
# [texhax] nested tabu with colors
Arno Trautmann Arno.Trautmann at gmx.de
Wed Jun 27 09:19:13 CEST 2012
Hi all,
I want to use a nested tabu environment to typeset a table, but also
want to use colors. That works fine as long as I don't nest the tabus, i.e.:
\documentclass{minimal}
\usepackage{tabu}
\usepackage[tab... | {} |
# NoCoolName Blog
## Looking at Scripture Mastery – 1 Corinthians 10:13
Greek: πειρασμὸς ὑμᾶς οὐκ εἴληφεν εἰ μὴ ἀνθρώπινος· πιστὸς δὲ ὁ θεός, ὃς οὐκ ἐάσει ὑμᾶς πειρασθῆναι ὑπὲρ ὃ δύνασθε, ἀλλὰ ποιήσει σὺν τῷ πειρασμῷ καὶ τὴν ἔκβασιν τοῦ δύνασθαι ὑπενεγκεῖν.
My Translation: No temptation has claimed you that wasn't o... | {} |
# SOLUTION: The radius of a circle as a function of time is defined by the equation, r(t)=4t^2+3t+1. Determine the rate of change in the area of the circle when dr/dt=11.
Algebra -> Algebra -> Customizable Word Problem Solvers -> Misc -> SOLUTION: The radius of a circle as a function of time is defined by the equat... | {} |
Package website: release | dev
This package provides hyperband tuning for mlr3. Various termination criteria can be set and combined. The class ‘AutoTuner’ provides a convenient way to perform nested resampling in combination with ‘mlr3’.
## Installation
CRAN version
install.packages("mlr3hyperband")
Development v... | {} |
## Tuesday, 27 November 2012
### Is This Integration?
Problem Name: Is This Integration?
UVa ID: 10209
Keywords: geometry, math
I’ve been meaning to write about a geometry problem for a while now, because they generally provide interesting challenges that require some degree of creativity. With some types of problem... | {} |
# Morita equivalence between $\mathbb{C}[G]$ and $\mathbb{C}[H]$?
What we can say about two groups G and H when their group rings, $\mathbb{C}[G]$ and $\mathbb{C}[H]$, are Morita equivelent?
I will assume that $G$ and $H$ are finite groups, since I don't know the theory otherwise. Then it just says that $G$ and $H$ h... | {} |
×
## Implicit Differentiation
Not all equations can be written like y = f(x), so taking the derivative can be tricky. Save the mess and do it directly with implicit differentiation.
#### Challenge Quizzes
If $$\sqrt[3]{x^2}+\sqrt[3]{y^2}=4,$$ what is $$\displaystyle \frac{dy}{dx}?$$
If $$x=y\sqrt{11+y}$$, what is ... | {} |
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## Über dieses Buch
In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engine... | {} |
# Meeting Details
Title: Sums of almost equal squares of primes Algebra and Number Theory Seminar Angel Kumchev, Towson University We study the representations of large integers $n$ as sums $p_1^2 + \dots + p_s^2$, where $p_1, \dots, p_s$ are primes with $| p_i - (n/s)^{1/2} | \le n^{\theta/2}$, for some fixed $\theta... | {} |
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