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# SPM Mathematics 2017, Paper 2 (Questions 5 & 6)
Question 6 (4 marks):
An aquarium has the length of (x + 7) cm, the width of x cm and the height of 60 cm.
The total volume of the aquarium is 48000 cm3. The aquarium will be filled fully with water.
Calculate the value of x.
Solution: | |
It is currently 17 Mar 2018, 17:25
### GMAT Club Daily Prep
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# Splitting code into several files
You have probably been noticing that your source code files have grown somewhat large and include a diverse range of features: class definitions, class method implementations, other functions, and a main() function. In future assignments you will define several classes, some of whic... | |
# Selective ultrafilter and bijective mapping
For arbitrary (selective) ultrafilter $$\mathcal{F}$$ does there exist bijection $$\phi:[\omega]^2\to\omega$$ with the property: $$\forall B\in\mathcal{F} : \phi([B]^2)\in\mathcal{F}$$ ?
No, this fails not only for selective ultrafilters but for all non-principal ultrafil... | |
# The kinematic anomaly in MPM
The following Material Point Method (MPM) simulation of sloshing fluid goes “haywire” at the end, just when things are starting to settle down:
(if the animated gif isn’t visible, please wait for it to load)
# Tangent mapping
These images show the initial configuration of a body (squa... | |
## Introduction
Osteoarthritis (OA) is a leading cause of severe long-term pain and disability affecting approximately 10% of the global population1. Regenerative solutions and new tissue- engineering based strategies are promising for treatment of moderate OA2,3. The research for treatment of knee OA with PRP is prom... | |
Asymptotic behavior of a sequence based on a subsequence II
Let $\{a_{n}\}$ be a non-increasing sequence of positive numbers. if for some positive integers $l,p$ and $R>1$ we have $a_{(ln)^{p}}=O(R^{-n})$ as $n\to\infty$, what can we say about the behavior of $a_{n}$? tkx!!
-
Without further information, such as mono... | |
# A plank is placed on a solid cylinder which rolls on a horizontal surface.The two are of equal mass.There is no slipping in any of the surfaces in contact.Find the ratio of kinetic energy of plank and cylinder.
Kinetic energy of plank:
Kinetic energy of cylinder is
where W is angular velocity
So kinetic energy of... | |
# Thread: [SOLVED] Help me to solve this math problems
1. ## [SOLVED] Help me to solve this math problems
Let : $\displaystyle x=\sin \theta$
3. Are you required to use integration by parts? The obvious way to integrate this is to let $\displaystyle y= 1- x^2$ so that $\displaystyle dy= -2x dx$ or $\displaystyle -\fr... | |
# Matplotlib Exercise 3
## Imports
In [9]:
%matplotlib inline
import matplotlib.pyplot as plt
import numpy as np
## Contour plots of 2d wavefunctions
The wavefunction of a 2d quantum well is:
$$\psi_{n_x,n_y}(x,y) = \frac{2}{L} \sin{\left( \frac{n_x \pi x}{L} \right)} \sin{\left( \frac{n_y \pi y}{L} \right)}$... | |
My Math Forum Conceptualising a 2x2 matrix
Linear Algebra Linear Algebra Math Forum
March 17th, 2017, 05:16 PM #1 Newbie Joined: Mar 2017 From: Brisbane Posts: 3 Thanks: 0 Math Focus: linear algebra Conceptualising a 2x2 matrix Hi all I am having trouble conceptualising what a 2x2 matrix implies. For example, can... | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 16 Oct 2019, 10:53
### 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.
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Sparse distributed multivariate Laurent polynomials
Every element of the multivariate Laurent polynomial ring $R[x_1, x_1^{-1}, \dots, x_n, x_n^{-1}]$ can be presented as a sum of products of powers of the $x_i$ where the power can be any integer. Therefore, the interface for sparse multivarate polynomials carries ove... | |
# The Solarized Dark Vim
Today, I spent a whole day on reconfigure my Vim. Vim is a powerful monster that needs care. Once you feed it with (your precious) time, Vim will pay you back with a nice and pretty editing experience.
▲ Solarized Dark vim
Two things I’ll talk about today: Solarized Dark and Powerline.
## S... | |
What algorithm to use for this kind of routing optimization?
Let's imagine a situation in order to fully understand the problem : let's say a lone human is walking back home at a very late time. He needs to find the safest path home. He naturally use the GPS with a start point A and a destination point B. Now the data... | |
# sympy slice matrix
Here is a matrix of type-, is of , and are of : By definition of matrix product, for the case of our settings, matrix products Examples ===== >>> from sympy import Matrix, I … first file, sin and cos are defined as the SymPy sin and for j in range(0,shapeF[1]): If you want to get the same answer, ... | |
# Rate Expression In Third Order
What is the rate expression of a second order reaction having different reactants?
Checkout this to get your solution :))
What is the expression of a second-order reaction with the same and different initial concentrations?
I am going to assume that the actual question here is “What... | |
# Find the absolute maximum and absolute minimum
• Dec 12th 2008, 08:54 AM
bgwarhawk
Find the absolute maximum and absolute minimum
f(x)= 2x^4 - 16x^2 +3; on 0,2
I got to 8x^3 -32x=0 what do I do now?
absolute maximum=
absolute minimum=
• Dec 12th 2008, 09:11 AM
moolimanj
Use the maximum-minimum principle:
calculat... | |
考点：任务型阅读
• Read the following passage. Complete the diagram by using the information from the passage.
Write NO MORE THAN THREE WORDS for each answer.
Most scientists are now certain that global warming is taking place. Gases such as carbon dioxide produced by burning of coal, oil, wood, together with industrial pollu... | |
# Scraping PubMed query results: follow-up
I recently posted a question looking for feedback on a script I wrote (see: Scraping PubMed query results)
Since then I have re-written it into a class, which I have posted below. How does it look? How can I improve upon it?
class PubMedQuery {
private $query; private$sear... | |
# How to remove brackets from a data file
I would like to know how I can transform a file (.dat) that contains
{x1,x2, x3, x4,
x5, x6, x7, x8}
{y1,y2, y3, y4,
y5, y6, y7, y8}
in another file (.dat) that contains
x1 x2 x3 x4 x5 x6 x7 x8
y1 y2 y3 y4 y5 y6 y7 y8
• Does the existing file look exactly the way you show... | |
# Math Help - Algebra coin problem
1. ## Algebra coin problem
A collection of 70 coins consisting of dimes, quarters, and half dollars has a value $17.75. There are three times as many quarters as dimes. Find the number of each kind of coin. 2. Originally Posted by Nimmy A collection of 70 coins consisting of dimes, ... | |
# Understanding MCMC: what would the alternative be?
Learning Bayesian stats for the first time; as an angle towards understanding MCMC I wondered: is it doing something that fundamentally can't be done another way, or is it just doing something far more efficiently than the alternatives?
By way of illustration, supp... | |
# 5.1.1: Sources of data
Different sources of information are needed for the navigation of an aircraft in the air.
Certain data come by measuring physical magnitudes of the air surrounding the aircraft, such as the pressure (barometric altimeter) or the velocity of air (pitot tube). Other data are obtained by measur... | |
# [prove] monotonicity of function
1. Dec 6, 2008
### Дьявол
1. The problem statement, all variables and given/known data
Show that the function is monotonic, and if so find if it increases or decreases monotonically.
f(x)=ln(x-1), E=(1,∞) where E ⊆ Df
2. Relevant equations
a) monotonically increasing if the set ... | |
# Equation for magnetic field line of dipole
1. Sep 19, 2011
### erogard
Hi, given the equation for a dipole magnetic field in spherical coordinates:
$\vec{B} = \frac{\mu_0 M}{4 \pi} \frac{1}{r^3} \left[ \hat{r} 2 \cos \theta + \bf{\hat{\theta}} \sin \theta \right]$
I need to show that the equation for a magnetic ... | |
The open source CFD toolbox
Boundary conditions
In the absence of sources and sinks, system behaviour is driven by its boundary conditions. These form a critical aspect of case specification where ill-posed combinations will lead to physically incorrect predictions, and in many cases, solver failure.
OpenFOAM offers ... | |
Feedback in state constrained optimal control
ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002) , pp. 97-133.
An optimal control problem is studied, in which the state is required to remain in a compact set $S$. A control feedback law is constructed which, for given $\epsilon >0$, produces $\epsil... | |
# Where and how did the demon learn to talk and read?
chapter 10-12
##### Answers 1
He learned to talk and read by observing the cottagers in the forest near Ingolstadt where he took refuge.
Frankenstein | |
Solving Equations Unknown on Both Sides
# Solving Equations Unknown on Both Sides
GCSE(F), GCSE(H),
Where an unknown appears on both side of an equation, the equation needs to be re-arranged so that all the values of the unknown are on one side of the equation, and the numbers on the other:
Start by identifying on ... | |
# Problem 12-22 Simple circuit - Part 2 - C
In the figure, what are
(a) the current through the $47\; \Omega$ resistor?
(b) the direction of the current through the $47\; \Omega$ resistor?
(c) the potential difference $V_A - V_B$? $V_B - V_A$?
(d) the voltage across the $84\; \Omega$ resistor?
(e) the potential at p... | |
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## Holooly Tables
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## Holooly Arabia
For Arabic Users, find a teacher/... | |
# Definition:Functor Category
## Definition
Let $C$ and $D$ be categories.
The functor category $\operatorname{Funct}(C, D)$ is the category with:
## Also denoted as
The functor category is also denoted $\operatorname{Fun}(C, D)$, $[C, D]$ or $D^C$, in analogy to the set of all mappings. | |
9.2: Chapter 9 HW
1. Which of the following types of electromagnetic radiation has the shortest wavelength?
a) gamma rays
b) microwave
c) visible
2. Which of the following types of electromagnetic radiation has the longest wavelength?
a) ultraviolet
c) x-ray
d) infrared
3. Rank the following types of electrom... | |
## Access
You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
## If You Use a Screen Reader
This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, pl... | |
zbMATH — the first resource for mathematics
The theory of $$\kappa$$-like models of arithmetic. (English) Zbl 0848.03019
A linearly ordered model is $$\kappa$$-like if it is of power $$\kappa$$, and each of its proper initial segments is of cardinality smaller than $$\kappa$$. In the search for the theory of all $$\ka... | |
# [OS X TeX] \jobname+3
Chris Goedde cgg.lists at gmail.com
Tue Sep 13 21:48:25 CEST 2011
On Sep 13, 2011, at 2:14 PM, Alain Schremmer wrote:
> Not quite strictly LaTeX.
>
>
> I use a lot ]jobname in references such as
>
> ../QuestionsBase/\jobname/12
>
> With a file named 4.tex this gives
>
> ../QuestionsBase/4/12
... | |
# Group of particles in a magnetic field
1. Jun 24, 2017
### fishturtle1
1. The problem statement, all variables and given/known data
A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x-direction experiences a force of 2.25... | |
# Pacemaker Term Paper
Nowadays, the composite materials become an interesting material in many applications due to its lightweight; such as computation processes, military; and human health [1-3].The metals are the most materials used in the shielding applications thanks to its high conductivity, but metals have few ... | |
# How Many 3-digit Even Number Can Be Made Using the Digits 1, 2, 3, 4, 5, 6, 7, If No Digits is Repeated? - Mathematics
How many 3-digit even number can be made using the digits 1, 2, 3, 4, 5, 6, 7, if no digits is repeated?
#### Solution
In order to find the number of even digits, we fix the unit's digit as an eve... | |
# Is there a B field in a charging spherical capacitor?
• I
Suppose a spherical capacitor is being charged. In this case the E field between the plates is growing with time which implies a displacement current which in turn implies a B field. How would one find this B field if it does exists? I'm guessing the B field ... | |
# Math Help - I need some examples
1. ## I need some examples
Is there a function which is defined on $\mathbb{R}$ but which is NOT continuous on ANY point of $\mathbb{R}$?
What about a function which is defined on $\mathbb{R}$ and is continuous at exactly TWO points of $\mathbb{R}$?
2. Originally Posted by binkypo... | |
• Y Markandeya
Articles written in Bulletin of Materials Science
• Characterization and thermal expansion of Sr2Fe𝑥 Mo2−𝑥O6 double perovskites
Double perovskite oxides Sr2Fe𝑥Mo2−𝑥O6 (𝑥 = 0.8, 1.0, 1.2, 1.3 and 1.4) (SFMO) of different compositions were prepared by sol–gel growth followed by annealing under redu... | |
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
I’ve been asked on a few occasions what is the deal with R user-written functions. First of all, how does the syntax work? And second of all, why would you ever want to do this? In Stata, we don’t write functions; we execute... | |
These are chat archives for highfidelity/hifi
21st
Mar 2017
Trent Polack
@mittens
Mar 21 2017 19:29
so, I'm trying to setup a light sandbox for testing isolated changes and the like
and... clear as mud now
but trying to debug/step-through file parsing code in the main interface env is like... pain
Melissa Brown
@theme... | |
# Combinatorics Overview
Daniel Weibel
Created 15 Aug 2017
Last updated 25 Aug 2017
Overview of the most important concepts of combinatorics.
The branch of combinatorics treated here is called enumerative combinatorics, which is the counting of the different arrangements of the elements of a finite set.
The main ar... | |
# Do I Have to Mow the Whole Thing?
Learners explore the concept of inverse variation. In this inverse variation lesson, students calculate an area formula for the dimensions of a garden with constant area. Learners rearrange the formula into a y equals equation. Students solve problems given a constant where they mus... | |
# Revision history [back]
### looping for trainig data
Hi I have 80 testing and training samples to loop in my code. testData_1 to testdata_80
I had defined the path for each training and testing samples as char trainfilename[] = "\t\trainData_1.txt"; char testfilename[] = "t\testData_1.txt";
but now i have 80 of t... | |
# SharePoint problem: moderation comment is not saved
I solved last week one pretty cool mystery in SharePoint. I have form that users use to make some specific changes to list items. When all the fields on form are filled then user clicks save button. Changes are saved to list item and list item is automatically acce... | |
# Rate of convergence
Rate of convergence
In numerical analysis, the speed at which a convergent sequence approaches its limit is called the rate of convergence. Although strictly speaking, a limit does not give information about any finite first part of the sequence, this concept is of practical importance if we dea... | |
# Solving for a derivative of an integral
1. Aug 7, 2006
### dnt
the question is find a function, f, and a value, a, such that:
2 times the integral from a to x of f(t)dt = 2sinx - 1
(sorry i dont know how to make it look nice)
well the first thing i did was divide by 2, then take the derivative of each side:
f(... | |
# Streams and Laziness In this lab, we will dive into a couple implementations of the infinite list data structure that we saw in lecture. ## Streams In lecture we defined this type: type 'a stream = Cons of 'a * (unit -> 'a stream) The next few exercises ask you to work with that type. ##### Exercise: pow2 [✭... | |
Question 1
# A cube is made by folding the given sheet. In the cube so formed, what would be the symbol on the opposite side of
Solution
Given figure
from the above figure, the opposite symbol is given below in the figure every third symbol is opposite every first symbol
then
opposite symbols are
therefore Optio... | |
# What is the y-intercept of the line given by the equation y = 6x + 8?
Aug 10, 2016
$y$-intercept is $y = 8$
$y = 6 x + 8$
$y$-intercept is when $x = 0$
$y = 6 \times 0 + 8$
$y = 8$ | |
## Precalculus (6th Edition)
slope $=0$
RECALL: The graph of $y=k$ where $k$ is any real number is a horizontal line whose slope is zero. Thus, the graph of the given equation is a horizontal line . Therefore, the slope of the line is zero. | |
# Proving that the unit ball in $\ell^2(\mathbb{N})$ is non-compact
So on my homework it says that to prove the unit ball in $\ell^2(\mathbb{N})$ is non-compact, it suffices to find countably many elements $x_n$ of $\ell^2(\mathbb{N})$ with $\lVert x_n\rVert \leq \frac{1}{2}$ such that $\lVert x_n - x_m\rVert \geq \de... | |
# Relationship between discriminants and smoothness of curves
My understanding of the use of the discriminant in elliptic curve theory is to test whether an elliptic curve in Weierstrass normal form over a field not of characteristic either 2 or 3, $y^{2} = x^{3}+Ax+B$, is smooth, i.e., non-singular. What I am confuse... | |
# Posts tagged as “stack”
Given a string s of lower and upper case English letters.
A good string is a string which doesn’t have two adjacent characters s[i] and s[i + 1] where:
• 0 <= i <= s.length - 2
• s[i] is a lower-case letter and s[i + 1] is the same letter but in upper-case or vice-versa.
To make the string... | |
# XGBoost Learners
Heuristics provides learners for training XGBoost models, which we describe on this page along with a guide to their parameters.
## Shared Parameters
All of learners provided by Heuristics for training XGBoost models are XGBoostLearners. In addition to the shared learner parameters, these learners... | |
where β = fringe width i.e., the distance between two successive maxima or minima of the fringes, d = distance between the two virtual sources (=S 1 S 2), D = distance between the slit But D2 = D1 + 0.80 m. Substitute these values in the above relation and find D1. So, interference pattern will be more clear and distan... | |
# Calculation of mode Grüneisen parameters¶
## How to run¶
It is necessary to run three phonon calculations. One is calculated at the equilibrium volume and the remaining two are calculated at the slightly larger volume and smaller volume than the equilibrium volume. The unitcells at these volumes have to be fully re... | |
8 Nov 2015 Sometimes you might need to download a file with PowerShell from a FTP-server or from a website. For instance, you might need a file from HR
4 Oct 2010 This should show you how you can download a file with Powershell. This is not a script or function you should use. It just is the the easyiest way
16 Oct 2... | |
# Expectation of the maximum consecutive subsequence sum of a random sequence
There is a problem from Programming Pearls 2nd edition (Problem 4 in Chapter 8.7):
If the input elements in the input array are random real numbers chosen uniformly from [-1,1], what is the expected value of the maximum subvector?
If all t... | |
### Approximating Fault-Tolerant Group-Steiner Problems
Rohit Khandekar, Guy Kortsarz & Zeev Nutov
In this paper, we initiate the study of designing approximation algorithms for {\sf Fault-Tolerant Group-Steiner} ({\sf FTGS}) problems. The motivation is to protect the well-studied group-Steiner networks from edge or v... | |
Try NerdPal! Our new app on iOS and Android
# Solve the equation $3\left(2x-2\right)=2\left(3x+9\right)$
Go!
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2
e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc
asin
acos
atan
acot
asec
acsc
sinh
cosh
tanh
coth
sech
csch
as... | |
Righteous Pathway Factor Analysis
# Righteous Pathway Factor Analysis
Decomposes a set of expressions into a group expression using factor analysis. The expression regulation can be studied via an ANOVA that relates it to the observables in the journal file. The final p values are then FDR corrected and the resulting... | |
# Maix2 Dock Image Burning On OSX
All the forum posts I could find assumed access to either Windows or Linux machines to burn the firmware onto an SD card. I needed a couple of goes at this when trying from my Mac.
The main issue I had was how to remove and recreate one partition from the initial image.
i.e. how to ... | |
# Changeset 3630
Ignore:
Timestamp:
Feb 21, 2014, 1:54:04 PM (5 years ago)
Message:
Modify data
Location:
docs/Working/re
Files:
4 edited
### Legend:
Unmodified
r3154 \documentclass[a4paper,10pt]{article} \usepackage[utf8]{inputenc} %opening \title{Fast Regular Expression Matching with Bit-parallel Data Streams} ... | |
# Attacking a hardware AES implementation if it leaks the intermediate round states
Let's say that we have a hardware AES implementation that, on request, will encrypt or decrypt a 16-byte block of data in ECB mode using a fixed key, but refuses to reveal its fixed key. In other words, an oracle.
This oracle has a fl... | |
# How can a thermometer ever show the actual temperature of an object if the object loses heat to the thermometer?
We know that when two objects are placed in contact with each other, after a period of time, the two objects will have the same temperature. Thus, if a hot body comes into contact with a relatively cold b... | |
These solutions for Trigonometry are extremely popular among Class 9 students for Math Trigonometry Solutions come handy for quickly completing your homework and preparing for exams. This concept teaches students to solve word problems using trigonometric ratios. Page - 1 . Question 11.Solve the following equations: Qu... | |
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Miscellaneous Exercise
These NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Miscellaneous Exercise Questions and Answers are prepared by our highly skilled subject experts.
NCERT Solutions for Class 12 Maths C... | |
# Ideal Voltage and Current Sources in series
For the circuit below determine
a) the current I,
b) the voltage $V_R$ and
c) the voltage $V_o$ across the current source
Note: VR should be V subscript R and the case is the same with Vo.
The diagram above is from a set of lecture notes and the accompanying questions we... | |
Insights from the bar: A model of interaction
Huth K, Loth S, de Ruiter J (2012)
Presented at the Online Proceedings of Formal and Computational Approaches to Multimodal Communication, Opole, Poland.
No fulltext has been uploaded. References only!
Conference Paper | English
Author
; ;
Publishing Year
Conference
Onli... | |
## UnkleRhaukus 3 years ago $\lim\limits_{n\rightarrow 0}\frac{\sin (nx)}n$
1. anonymous
$\large \lim_{n \rightarrow 0}\frac{ \sin nx }{ n }=\lim_{n \rightarrow 0}\frac{ x(\sin nx) }{ nx }=x(1)=x$
2. anonymous
you can also apply L'Hopital's Rule on the function, the variable of differentiation is n. $\large \lim_{n... | |
# Bivariate Limit $\lim_{(x,y)\to(1,0)}\frac{xy-y}{x^2-2x+1+y^2}$
I was asked to solve the following bivariate limit. I'd like to know if my approach is valid and if there is a better way to do it
$$\lim_{(x,y)\to(1,0)}\frac{xy-y}{x^2-2x+1+y^2}$$
I used a phase shift and rewrote as this:
$$\lim_{(x,y)\to(0,0)}\frac... | |
# Scientific Papers
Leonid Positselski (Czech Acad. of Sci. and Inst. for Inform. Transmission Problems, Moscow)
Smooth duality and co-contra correspondence
Journal of Lie Theory 30 no. 1 (2020) pp. 85-144
Forcella Luigi, Fujiwara Kazumasa, Georgiev Vladimir, Ozawa Tohru
Blow-up or global existence for the fractional... | |
# Recursion and Lambda Calculus
So far we haven’t used names that much for our λ calculus functions, mainly just with functions such as sqr. Recursion does require names, because we will call the functions multiple times. Here’s our function:
fact: (λn. (if (= n 1)
1
(* n (fact (- n 1))))
Let’s call (fact 3) and do ... | |
# Need to find correlation between two entities
I have a scenario where I have a User which likes 10 different sports and there is another user which likes 20 different sports. I need to find the correlation between them. What kind of correlations can be used in such a scenario. Any kind of guide would be helpful. I t... | |
# Ngô Quốc Anh
## March 29, 2014
### A new Rayleigh-type quotient for the conformal Killing operator on manifolds with boundary
Filed under: Riemannian geometry — Tags: — Ngô Quốc Anh @ 15:22
In the previous note, I showed a Rayleigh-type quotient for the conformal Killing operator $\mathbb L$ on manifolds $(M,g)$ ... | |
# What mass of TiCl_4 is needed to produce 25.0 g of Ti if the reaction proceeds with an 82% yield in the reaction TiCl_4 + 2Mg -> Ti + 2MgCl_2?
Jul 3, 2016
You need 121 g of ${\text{TiCl}}_{4}$.
#### Explanation:
1. Write the balanced equation
The balanced equation is
${\text{TiCl"_4 + "2Mg" → "Ti" + "2MgCl}}_{2... | |
# How do you solve using elimination of 3x+6y=12 and 2x-2.5y=13?
Nov 7, 2015
The system has one dolution: $\left\{\begin{matrix}x = 5 \frac{7}{13} \\ y = - \frac{10}{13}\end{matrix}\right.$
#### Explanation:
The original system is:
$\left\{\begin{matrix}3 x + 6 y = 12 \\ 2 x - 2.5 y = 13\end{matrix}\right.$
The e... | |
# Exact recursive expressions for final size
Author: Sangeeta Bhatia @sangeetabhatia03
Editor: Simon Frost @sdwfrost
Date: 2018-10-02
In a closed population, there is often interest in the total number of people infected, also known as the final size. Although simulations can be used (either deterministic or stocha... | |
• ### Thermal Infrared and Optical Photometry of Asteroidal Comet C/2002 CE$_{10}$(1712.08388)
Dec. 22, 2017 astro-ph.EP
C/2002 CE$_{10}$ is an object in a retrograde elliptical orbit with Tisserand parameter $-0.853$ indicating a likely origin in the Oort Cloud. It appears to be a rather inactive comet since no coma ... | |
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Math Central Quandaries & Queries
Question from Carla, a student: Find the derivative using the limit process of f(x) = (x+1)^1/2
Hi Carla,
The derivative of $f(x)$ is the limit, as $h$ approaches zero of the difference quotient
$\frac{f(x + h) - f(x)}{h}.$
For your function this difference quotient i... | |
# What's the point?
Geometry Level 4
The line $$\color{red}{l}$$ has equations $\dfrac{x-1}{2}=\dfrac{y-1}{3}=\dfrac{z+1}{2}$ and the point $$A$$ is $$(7, 3, 7)$$. $$M$$ is the point where the $$\color{#007fff}{\text{perpendicular}}$$ from $$A$$ meets $$\color{red}{l}$$.
The point $$\color{#ff8600}{B}$$ lies on $$AM... | |
# In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR. - Geometry
Sum
In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR.
#### Solution
In ∆PQR, point S is the midpoint of side QR.
$QS = SR = \frac{1}{2}QR$
${PQ}^2 + {PR}^2 = 2 {PS}^2 + 2 {QS}^2$ ....... | |
# How do i Remove Differencing applied to a time Series, ARIMA model?
Am trying to forecast using time series method called ARIMA. I have followed steps to build a time series model displayed in the code below. My challenge is on (Merging Actual and Forecast in One Series) and Remove Transformation from Series.
sales... | |
Mathematics
OpenStudy (anonymous):
According to a research company, during a certain year 82 million out of 174 million adults in the United States corrected their vision by using prescription eyeglasses, bifocals, or contact lenses. (Some respondents use more than one type.) What is the probability that an adult sele... | |
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``` if me... | |
# Second order transfer functions, intrinsic time constants and responses
Say I have the following circuit: -
simulate this circuit – Schematic created using CircuitLab
This circuit has the following transfer function $$\H(s) = \frac{V_o(s)}{V_{in}(s)} = \frac{\frac{1}{LC}}{s^2+s\frac{1}{RC}+\frac{1}{LC}} \$$.
By d... | |
# How do Cloud Credits work?
How do cloud credits work?
In the documentation, it says that CloudDeploy[] uses CloudCredits (http://www.wolfram.com/language/fast-introduction-for-programmers/en/cloud-deployment/).
However, I tried to call:
$CloudCreditsAvailable Loop[n_] := (For[i = 0, i < n, i++]; i) CloudDeploy[Fo... | |
## Dedication
To my loving family. You are the ever driving purpose in my life. I have enjoyed every minute with you all and look forward to many more.
## Preface
Todo: need to write the preface
## Acknowledgments
To all the great folks in the fodder group on Facebook, thank you for all your help with the creatio... | |
Michael Manser
The set of all 2x2 invertible matrices under matrix multiplication.
(1)
\begin{align} GL_2(\mathbb{R}) \end{align}
Good - but are you sure about your statement that $GL_n(\mathbb{R})$ is a subgroup of $M_n(\mathbb{R})$? -Prof. Edgar
I'm pretty sure it's not… :-( - Michael
(17)
\begin{align} Q\;=\;\f... | |
Home / Electrical Q&A / AC Fundamentals Solved Problems
# AC Fundamentals Solved Problems
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## AC Fundamentals Questions
1. What is the definition of a generator?
A generator is a machine which converts mechanical energy to electrical energy.
2. What is the de... | |
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# Regex for Flower Brackets
Flower Brackets is represented by {} and can be keyed in using the keyboard using the SHIFT + { or SHIFT + } in most computers. In this article let's understand how we can create a regex for flower brackets and how regex can be matched for flower brackets values.
Regex (short... | |
# edwinb/Idris-dev forked from idris-lang/Idris-dev
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\section{\Idris{} --- the High Level Language} \label{sect:hll} \Idris{} is a pure functional prog... | |
3.1: Maclaurin Series
A function $$f(x)$$ can be expressed as a series in powers of $$x$$ as long as $$f(x)$$ and all its derivatives are finite at $$x=0$$. For example, we will prove shortly that the function $$f(x) = \dfrac{1}{1-x}$$ can be expressed as the following infinite sum:
$\label{eq1}\dfrac{1}{1-x}=1+x+x^2... | |
# How to prevent square wave oscillation circuit from producing backwards sawtooth shapes in LTSpice4
In a related question, "simple, energy efficient circuit to make single IR LED blink", the following circuits are shared in the (current) third answer:
I entered these into LTSpiceIV and the output is unstable, somet... |
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