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# The expectation of a r.v. times an indicator function which depends on the r.v.
Suppose $X$ is a random variable, with mean zero, and finite variance.
I'm trying to understand how to think about the function $$K(t) = \mathbb{E}\left[X (1_{\{0\leq t \leq X\}} - 1_{\{X\leq t \leq 0\}})\right].$$
To make things more ... | HuggingFaceTB/finemath | |
Maths puzzle: Can you solve this ‘SIMPLE’ brain teaser only one in 1,000 can crack? | Daily Star
# Can you solve this 'SIMPLE' maths puzzle only one in 1,000 people can crack?
A SERIOUSLY tricky brain teaser is baffling people from across the globe.
WIKR/GETTY
SHOCK: The puzzle can only be solved by one in 1,000 pe... | HuggingFaceTB/finemath | |
Guan Chun | Artist, Illustrator, Designer
Portfolio31 Art Studio / Shanghai / China
## 1 coulomb equals how many electrons
Date : 2021-01-22
6.25 x 10^18 per second. Charge(C)=1. Relevance. The Ampere is defined as the amount of current required to produce a certain magnetic force between a pair of current carrying ... | HuggingFaceTB/finemath | |
# If g is diff'able at x_0, g(x) <= mx + b, show g'(x_0) = m
1. Nov 22, 2014
### rayge
Pretty much as in the title, except one major condition: g(x_0) = m*x_0 + b.
So, conditions are:
g defined on the reals and is differentiable at x_0.
g(x_0) = m*x_0 + b
mx + b <= g(x) for all x
Then show m = g'(x_0)
I would lov... | HuggingFaceTB/finemath | |
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Can Life Develop in the Expanded Habitable Zones around Red Giant Stars?We present some new ideas about the ... | open-web-math/open-web-math | |
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## Correlation Coefficient Formula
Correlation coefficients in mathematics are used to measure the relationship between two variables. However, there are different types of Correlation coefficients but the most common type is Pearson’s correlation that is immensely popular in linear regression.
Most ... | HuggingFaceTB/finemath | |
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Evaluation & Accountability Collaborative Quick Tip Series for Extension Faculty Conducting Evaluations How to Calculate Percentage Change What is percentage change? Percentage change (or percent change) measures the difference in value using percentages. How is percentage change used in Extension? Percent chan... | HuggingFaceTB/finemath | |
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A152723 In binary, count of least frequent bit of n. 2
%I
%S 0,1,0,1,1,1,0,1,2,2,1,2,1,1,0,1,2,2,2,2,2,2,1,2,2,2,1,2,1,1,0,1,2,2,
%T 3,2,3,3,2,2,3,3,2,3,2,2,1,2,3,3,2,3,2,2,1,3,2,2,1,2... | HuggingFaceTB/finemath | |
1. ## More integrals
Evaluate the integral.. x -1/ sqrt x dx at interval (1,9)
Evaluate the integral x(3sqrtx + 4sqrtx)
Evaluate the integral 1 + cosx/cosx r4om interval (0, pi/4)
2. Originally Posted by Jgirl689
Evaluate the integral.. x -1/ sqrt x dx at interval (1,9)
Evaluate the integral x(3sqrtx + 4sqrtx)
Evalua... | HuggingFaceTB/finemath | |
How to solve a quadratic equation by factoring: 4 examples and their solutions.
## Example 1
### Solution
Factor the left side:
x2 - 3x = x(x - 3).
Common Monomial Factor
x(x - 3) = 0
Then either x or (x - 3) is 0.
So check these two cases.
Case 1) x = 0
x = 0 is the answer for case 1.
Case 2) x - 3 = 0
Then x =... | HuggingFaceTB/finemath | |
# Mapping derivative information in uniform to non-uniform grid
I'm having two sets of grids. One is uniform and another one is not uniform. I will calculate the derivative in uniform grid points and I like to transfer(map) the derivative to the non-uniform grid points. I have the relationship between uniform and non-... | HuggingFaceTB/finemath | |
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# Statistics
Khan Academy, , Prof. Salman Khan
Updated On 02 Feb, 19
##### Overview
Statistics: The average | Descriptive statistics,Sample vs. Population Mean,Variance of a population,Sample variance,Standard -deviation,Alternate variance formulas - Introduction to Random Variables - Probability density fu... | HuggingFaceTB/finemath | |
# maths
posted by .
Starting from one oasis, a camel walks 25km in a direction 30 degrees south of west and then walks 30km toward the north to a second oasis. What distance separates the two oases?
• maths -
I made a quick sketch and found the angle between the two paths to be 60°
So it becomes a simple Cosine Law... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Amazing Alphabet Maze:
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Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Magazines
##### Age 7 to 11 Challenge Lev... | HuggingFaceTB/finemath | |
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# ps4 - may be used to prove that a solution exists to this...
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Atsushi Inoue ECG 765: Mathematics for Economists Fall 2009 Problem Set ] 4 Due in class on Tuesday, September 22 1. A fishery earns a profit... | HuggingFaceTB/finemath | |
# Laplacianoid
## Introduction
After experimenting with using a graph's Laplacian on its own adjacency matrix in a straightforward way, I found that it was doing the blurring operation I want on the tail end of each graph edge, but not on the head ends. I designed a new operation that works on both ends of each edge.... | open-web-math/open-web-math | |
+0
# A quadratic function has equation F(x) = x 2 - x - 6 Determine the x-intercepts for each function
0
268
2
A quadratic function has equation F(x) = x2- x - 6
Determine the x-intercepts for each function
a). Y=f(-3x)
Feb 20, 2018
#1
+18080
0
Not sure I understand your question....can you clarify?
Feb 20,... | HuggingFaceTB/finemath | |
Edit Article
# How to Make a Wrap Skirt to Fit Any Size
Community Q&A
With these simple instructions you can make wrap skirts to fit your own measurements. You will need to make some calculations, but if you can draw a few straight lines on a piece of newspaper you'll have a go-to pattern to use again and again.
##... | HuggingFaceTB/finemath | |
1. ## Gramian matrix
Could anyone give me some help on this one problem?
An n by n matrix A is called Gramian matrix if there exists a real (square) matrix B such that A=tranpose of B times B. Prove that A is Gramian matrix if and only if A is symmetric and all of its eigenvalues are non-negative.
2. Originally Post... | HuggingFaceTB/finemath | |
UG Community @ Ultimate-Guitar.Com The Math/Science Help Thread!
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Originally Posted by gunsnroses#1 So I cannot factor to save my life , can someone please e... | HuggingFaceTB/finemath | |
Adding of two elliptic curve points
I'm working on elliptic curve points, and I know that some possible points require separate consideration. For example, if I want to add points P and Q, and P is a point in infinity and Q is a point in infinity - I will have the infinity point. If Q = -P, adding P + Q results in the... | HuggingFaceTB/finemath | |
# Roots and Zeros
Given a polynomial and one of its factors, find the remaining factors of the polynomial. Some of the factors may not be binomials.
One: 4x3 – 32x2 – 81x + 648; x – 8
Two: 64x3 – 528x2 – 1815x – 1331; x – 11
Solve the given equation. State the number and type of roots.
Three: x2 + 0x – 16 = 0
Sta... | HuggingFaceTB/finemath | |
# Physics - Explaining Motion
Additional Science OCR 21st Century CGP Book - P4 Notes
HideShow resource information
## Speed:
- To find the Speed of an object you must remember this formula:
Speed = Distance Divided By Time
- The Speed Formula tells you what the average speed is.
- For example: A cat skulks 20 m... | HuggingFaceTB/finemath | |
+0
# hyperbola?
0
308
1
Conver the equation 6x^2 - 3y^2 + 12x - 18y - 3 = 0 to the standard form of a hyperbola.
Aug 19, 2020
#1
0
6 (x^2+2x) -3 (y^2+6y) = 3 complete the square for x and y
6 (x+1)2 - 3 (y+3)2 = 3 +6 -27 = -18 divide both sides by -18
(y+3)/ 6 - (x+1)2 / 3 = 1
Aug 19, ... | HuggingFaceTB/finemath | |
Subscribe to our Youtube Channel - https://you.tube/teachoo
1. Chapter 11 Class 11 Conic Sections
2. Serial order wise
3. Ex 11.2
Transcript
Ex 11.2, 7 Find the equation of the parabola that satisfies the following conditions: Focus (6, 0); directrix x = 6 Since focus lies on x-axis Hence equation is either y2 = 4a... | HuggingFaceTB/finemath | |
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# Period of a function watch
1. Hey.
I have been given this function:
f(x)=cos(2x+(pi/3))+sin(1.5x-0.25pi)
and asked to find it's period.
I know that it's period is, at a maximum, 4pi by considering periods of the composite functions which make up f(x). However,... | HuggingFaceTB/finemath | |
Upward Bound Math and Science
1 / 20
# Upward Bound Math and Science - PowerPoint PPT Presentation
Upward Bound Math and Science . PRECALCULUS. Slope of Line . The Slope of a Line is give by the formula Find the slope of the line (-1,4) and (2,-2). Positive Slopes go uphill. Negative slopes go downhill . Equation of... | HuggingFaceTB/finemath | |
Conversion formula
The conversion factor from centimeters to kilometers is 1.0E-5, which means that 1 centimeter is equal to 1.0E-5 kilometers:
1 cm = 1.0E-5 km
To convert 11.9 centimeters into kilometers we have to multiply 11.9 by the conversion factor in order to get the length amount from centimeters to kilomete... | HuggingFaceTB/finemath | |
# RBSE Solutions for Class 12 Maths Chapter 13 Vector Ex 13.3
## Rajasthan Board RBSE Class 12 Maths Chapter 13 Vector Ex 13.3
RBSE Solutions For Class 12 Maths Chapter 13.3 Question 1.
Find vector product of vectors
and
Solution:
RBSE Solutions For Class 12 Maths Chapter 13 Question 2.
Find perpendicular unit vec... | HuggingFaceTB/finemath | |
Research ContributionArnold Mathematical Journal
Received: 5 December 2015 / Revised: 15 August 2016 / Accepted: 6 September 2016
On Postsingularly Finite Exponential Maps
bergweiler@math.uni-kiel.de
Mathematisches Seminar, Christian-Albrechts-Universit[U+00A8]at zu Kiel, Ludewig-Meyn-Stra[U+00DF]e 4 24098 Kiel Germa... | open-web-math/open-web-math | |
# Research-Coaches.com
## We show you the way how to conduct perfect research
### The adjusted multiple correlation coefficient is a correction of the multiple correlation coefficient based on the number of cases and the number of variables.
In any statistical test you need to have a minimum number of cases. If ther... | HuggingFaceTB/finemath | |
# JOD Update: J 8.02 QT/JHS/64 bit Systems
I have pushed out a JOD update that makes it possible to run the addon on J 8.02 systems. In the last eight months a QT based J IDE has been developed that runs on Linux, Windows and Mac platforms. To maintain JOD’s compatibility across all versions of J from 6.02 on I had to... | open-web-math/open-web-math | |
# Write the equation of line passes through (-4,-3), and is perpendicular to 4x + y=7
Write the equation of line passes through (-4,-3), and is perpendicular to 4x + y=7
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve your problem for the price of one coffee
• ... | open-web-math/open-web-math | |
# Number of palindromic subsequences of length k where k <= 3
Given a string S of length n and a positive integer k. The task is to find number of Palindromic Subsequences of length k where k <= 3.
Examples:
```Input : s = "aabab", k = 2
Output : 4
Input : s = "aaa", k = 3
Output : 1
```
## Recommended: Please try... | HuggingFaceTB/finemath | |
# To measure and calculate a perimeter
Page 1 / 1
1. 88
2. 8,8
3. 0,88
4. 11
5. 110
6. 1,1
7. 0,11
8. 0,111
9. 1 000 m
10. 10 mm
11. 1 000 m
12. 1 000 000 mm
13. 208
14. 8
15. 39
## Content
In this module we are going to measure with the aid of various instruments.
We are going to measure:
• length... | HuggingFaceTB/finemath | |
# math
posted by on .
The polynomial 14 x^3 + 8 x^2 + 21 x + 12 can be factored into the product of two polynomials, A * B where the degree of A is greater than the degree of B. Find A and B.
• math - ,
Strangely worded question.
I will simply factor it.
14 x^3 + 8 x^2 + 21 x + 12
= 2x^2(7x+4) + 3(7x+4)
= (7x+4)(2... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Reduce 60/1050 to lowest terms
The simplest form of 60/1050 is 2/35.
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 60 and 1050 is 30
2. Divide both the numerator and denominator by the GCD
60 ÷ 30/1050 ÷ 30
3. Reduced fractio... | HuggingFaceTB/finemath | |
Given a triangle $$\triangle ABC$$, the circle that goes through the midpoints of each side, $$D, E, F$$, is called the Feuerbach circle. It has very surprising properties: • It also goes through the feet of the heights, points $$G, H, I.$$
• If $$Oc$$ denotes the orthocenter of the triangle, then the Feuerbach circle ... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Straight edge & compass constructions similar to Circle Scaling:
Filter by: Content type:
Stage:
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### There are 19 results
Broad Topics > 2D Geometry, Shape and Space > Straight edge & compass constructions
### Circle Scaling
##### Stage: 4 Challenge Le... | HuggingFaceTB/finemath | |
# Finding Theoretical Probability Using an Area Model
## Presentation on theme: "Finding Theoretical Probability Using an Area Model"— Presentation transcript:
Finding Theoretical Probability Using an Area Model
We are learning to…find the theoretical probability of an event.
Warm-Up --- February 28 Reflection (on ... | HuggingFaceTB/finemath | |
# Question: How Do You Calculate Percentage Shrinkage?
## What is a high attrition rate?
In a general sense, attrition rate is the number of people who move out of a group over time.
A high attrition rate means that your employees are leaving frequently, while a low rate indicates that you’re keeping your employees ... | HuggingFaceTB/finemath | |
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# wikiHow to Calculate Barometric Pressure
You can use the barometric pressure to predict or analyze the weather. In a real-world situation, you'll use a barometer to measure the pressure, and then you will convert the reading to units that are more convenient for you to use. If you are taking a class or... | HuggingFaceTB/finemath | |
# Which of $[0]_3, [1]_3, [2]_3$ is $[5^k]_3$ equal to?
Let $$k\in \mathbb{N}$$. Which of $$[0]_3, [1]_3, [2]_3$$ is $$[5^k]_3$$ equal to? Prove your answer.
Below is my proof so far. I figured out what it equals when $$k$$ is even or odd, which is hopefully correct. And I know from this then a case for both even and... | HuggingFaceTB/finemath | |
1. ## simultaneous equations and uadratic inequalities
1. find the values of k such that y=2x+k is a tangent to the curve with equation y=xsquared+1
2. find the values of k such that y=kx-2 is a tangent to the curve with equation y=xsquared+1
2. Hello, wale!
2. Find the values of $k$ such that $y\:=\:kx-2$
is a tan... | HuggingFaceTB/finemath | |
# Tension in the block string
1. Oct 3, 2011
### theunloved
4.0 kg block A and 6.0kg block B are connected by a string of negligible mass. Force a Fa = 12N acts on block A; force B Fb = 24N acts on block B. What is the tension in the string.
I was able to draw FBD and lists all the forces acting on A and B, but wha... | HuggingFaceTB/finemath | |
## Re: [PrimeNumbers] composite number patterns
Expand Messages
• Hey Steve, here is a link to a page I have on composite number patterns: http://www.geocities.com/asposer/composite.html I don t know if it s useful or not,
Message 1 of 3 , Jun 26, 2002
Hey Steve, here is a link to a page I have on composite number pat... | HuggingFaceTB/finemath | |
# Homework Help: A brick is sliding down a ramp
1. Jan 5, 2009
### dreamgirl
1. The problem statement, all variables and given/known data
A brick is sliding down a ramp
Anet / acceleration = .5 m/s^2
m= 2 kg
M = the coefficient of friction = unknown or ?
3. The attempt at a solution
I'm just stuck on the last pa... | HuggingFaceTB/finemath | |
# Divisors of 1429
## Divisors of 1429
The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
• 1
• 1429
Accordingly:
1429 is multiplo of 1
1429 has 1 positive divisors
## Parity of 1429
1429is an odd number,as it is not divisible by 2
## The factors for 1429
The ... | HuggingFaceTB/finemath | |
# Calculus
posted by on .
On an 18-hole golf course, there are par-3 holes, par-4 holes and par-5 holes. A golfer shoots a par of 70 for the 18 holes. There are twice as many par-4 holes as par-5 holes. How many of each type of hole are there on the golf course?
• Calculus - ,
number of par 5 ---- x
number of par 4... | HuggingFaceTB/finemath | |
## For the Beginner at CSP
Here is a list of links to CSP Blog posts that I think are suitable for a beginner: read them in the order given.
How to Obtain Help from the CSP Blog
Introduction to CSP
How to Create a Simple Cyclostationary Signal: Rectangular-Pulse BPSK
The Cyclic Autocorrelation Function
The Spectr... | HuggingFaceTB/finemath | |
# How to solve log(x)+2x=2 for x?
• B
• cakeroot
#### cakeroot
Hello:
could anyone know how to solve this equation?
log(x)+2x+2=0
it can be solve by lambert w function,
but in this equation we can't reshape it to xe^x that I can't solve by lambert w function.
Thanks!
Last edited by a moderator:
Yes you can apply t... | HuggingFaceTB/finemath | |
Home » Simplify your calculations with ease. » Construction » Drywall Grid System Calculator Online
# Drywall Grid System Calculator Online
0
0
0 m
The Drywall Grid System Calculator is an essential tool that automates the computation of the necessary components for installing drywall ceilings or walls. It provides ... | HuggingFaceTB/finemath | |
# Axiom:Lower Dimensional Axiom
Jump to navigation Jump to search
## Axiom
Let $a, b, c, \ldots, x, y, z$ be points.
Let $\mathsf B$ denote the relation of betweenness.
Let $\equiv$ be the relation of equidistance.
Let $=$ be the relation of equality.
## $1$ Dimension
The lower $1$-dimensional axiom is the asse... | HuggingFaceTB/finemath | |
# Square root of 5
Binary 10.0011110001101111... Decimal 2.23606797749978969... Hexadecimal 2.3C6EF372FE94F82C... Continued fraction $2 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4 + \ddots}}}}$
The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. It ... | HuggingFaceTB/finemath | |
# 1.4 Multiply and divide integers (Page 2/4)
Page 2 / 4
Division follows the same rules as multiplication!
For division of two signed numbers, when the:
• signs are the same , the quotient is positive .
• signs are different , the quotient is negative .
And remember that we can always check the answer of a divi... | HuggingFaceTB/finemath | |
#### Need Help?
Get in touch with us # Use the Mean to Describe Data Set
## Introduction:
• In this chapter, we will learn about data set, mean and median. Calculate and use the mean to describe a data set, calculate and use the median to describe a data set.
### Data set:
A data set is a collection of numbers or... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 10/2 and 8/6
1st number: 5 0/2, 2nd number: 1 2/6
10/2 is greater than 8/6
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 2 and 6 is 6
Next, find the equivalent fraction of both fractional numbers with ... | HuggingFaceTB/finemath | |
# Interpretation of the coefficients in quantile regression - a discrepancy between sources
In various sources you can find, that interpretation of the quantile regression is pretty much like in the linear regression, with the difference now it's about the medians, rather than means. Like here: How can I interpret the... | HuggingFaceTB/finemath | |
Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. The change of basis is a technique that allows us to express vector coordinates with respect to a "new basis" that is different from the "old basis" originally employed to compute coordinates. ; cov(X, Y) for the covarianc... | HuggingFaceTB/finemath | |
### Digital Electronics 1st Year (Unit 2)
## Lecture 2.1.1
What are Digital circuits and its types?
In any digital device, like a computer or a tablet. You will find a number of digital circuits. Digital Circuits are essentially circuits that operate on the digital concept of 0s and 1s. This means they switch on or ... | HuggingFaceTB/finemath | |
kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
#### Online Quiz (WorksheetABCD)
Questions Per Quiz = 2 4 6 8 10
### MEAP Preparation - Grade 6 Mathematics2.84 Fractions and Decimals Word Problems
Read the que... | HuggingFaceTB/finemath | |
Hitchhiker Orbit Decay
Hitchhiker, the first server sky experiment, will deploy from a GTO transfer stage into a highly elliptical orbit, using a high-ISP electric engine like the Accion electrospray thruster. This orbit is purposely designed to decay quickly during high solar activity years, so it will not leave debr... | HuggingFaceTB/finemath | |
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# 18.6: Spontaneity and Equilibrium
= 1, and the system is at equilibrium. We can use the measured equilibrium constant K at one temperature and ΔH° to estimate the equilibrium constant for a reaction at any other temperature.
## Conceptual Problems
1. Do you expect products or reactants to dom... | HuggingFaceTB/finemath | |
## Geometry Marathon : Season 3
For discussing Olympiad level Geometry Problems
Raiyan Jamil
Posts: 138
Joined: Fri Mar 29, 2013 3:49 pm
### Re: Geometry Marathon : Season 3
$\text{Solution to Problem 47:}$
Let $AC \cap BD=X$, $AC \cap EF=Y$ and $BD \cap EF=Z$. Now $P,M,N$ are collinear by newton line. Then, $XM.XZ... | HuggingFaceTB/finemath | |
Interpretation of {Infinitely Often} = {Almost Always}
I am trying to better understand what it means for a sequence $A_n$ of subsets of a set $S$
to be such that $\bigcap^\infty_{n = 1} \bigcup^\infty_{m = n} A_n = \limsup A_n = \liminf A_n = \bigcup^\infty_{n = 1} \bigcap^\infty_{m = n} A_n$
I find the interpretati... | HuggingFaceTB/finemath | |
# Euler’s Totient Function / Phi Function: Simple Definition
Share on
Euler’s Totient Function (also called the phi function) counts the totatives of n: positive integers less than or equal to n that are relatively prime to n. In other words, it’s the simple count of how many totatives are in the set {1, 2, 3, …, n}... | HuggingFaceTB/finemath | |
# Chapter 3: Mass-Transfer Coefficients¶
## Ex3.1:Page 53¶
In [8]:
# Illustration 3.1
# Page: 53
print'Illustration 3.1 - Page: 53\n\n'
# solution
#****Data*****#
# a = CO2 b = H2O
Ca0 = 0;#[kmol/cubic m]
Cai = 0.0336;#[kmol/cubic m]
Dab = 1.96*10**(-9);# [square m/s]
#*******#
density = 998.0;# [kg/cubic m]
visc... | HuggingFaceTB/finemath | |
# 3 4 12 1 x x4 2 4 a1 x 13 1 x x5 3 5 we
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Unformatted text preview: e first two coefficients a0 and a1 in the power series can be determined from the initial conditions, dy (0) = a1 .... | HuggingFaceTB/finemath | |
DiffEq Home
## Solving Linear Systems with constant coefficients
Suppose $$x_1,x_2,\ldots,x_n$$ are $$n$$ functions of $$t$$. Consider the following system of $$n$$ linear ODEs: $$$\overrightarrow{x}'=A(t)\overrightarrow{x}+\overrightarrow{g}(t), \;\;\;\;(51)$$$ where $$\overrightarrow{x}=[x_1,\; x_2,\cdots,\; x_n]^T... | HuggingFaceTB/finemath | |
1. ## Another radius of convergence problem
Again, I know I have to use the ratio test, but this just complicates things even further, it seems like I'm not left with anything to cancel out or anything or whatnot unless I'm just going about it wrong, could someone help me out?
2. Are you familiar with the ratio test?... | HuggingFaceTB/finemath | |
# Consider The First-order Model Yˆ = 70 + 35×1 – 10×2 + 5x1x2. A Unit Increase In X2, – collegepaperslab.com | Instant Assignment Help
Consider The First-order Model Yˆ = 70 + 35×1 – 10×2 + 5x1x2. A Unit Increase In X2, – collegepaperslab.com | Instant Assignment Help
Numerical analysis – Mathematics
1) Consi... | HuggingFaceTB/finemath | |
# Square Root of Prime is Irrational
## Theorem
The square root of a prime number is irrational.
## Proof 1
Let $p$ be prime.
Aiming for a contradiction, suppose that $\sqrt p$ is rational.
Then there exist natural numbers $m$ and $n$ such that:
$\ds \sqrt p$ $=$ $\ds \frac m n$ $\ds \leadsto \ \$ $\ds p$ $=$ $... | HuggingFaceTB/finemath | |
1 / 12
Correlation
Correlation. In this lesson you will cover:. How to measure and interpret correlation About the effects of scaling data on correlation. When two sets of random variables (bivariate data) are displayed on a scatter graph; we are used to describing the correlation but how do you measure it?.
Télécha... | HuggingFaceTB/finemath | |
## Improper integral of a high power of log
I feel like I’ve developed something new in evaluating this integral. Previously, when confronted with an integral of log to the n times a function, I considered the integral of log to the n+1 times the function over a keyhole contour. This gave me the original integral, but... | HuggingFaceTB/finemath | |
# Inverse images and containment
I have a question about inverse images and containment.
Let $\;f: A \rightarrow B, D \subseteq A$, and $E \subseteq B$. Show that $\; f^{-1}(B-E) \subseteq A-f^{-1}(E)$.
I have started by letting $x \in f^{-1}(B-E)$ so $f(x) \in (B-E)$, but I am unsure where to go from here.
## 2 An... | HuggingFaceTB/finemath | |
Question
# Let A be the set of integers N such that (i) 100 ≤N≤500 (ii) N is even (iii) N is divisible by either 2 or 3 or 4 but not by 7. How many elements are there in set A?170173171172
Solution
## The correct option is B 173Number of even numbers from 100 to 500 (both included) = (500-100)/2 + 1 = 201. This incl... | HuggingFaceTB/finemath | |
# How to Multiply by 11 Quickly
Multiplying by numbers less than 11 is easy. However, using the fact that 11 = 10 + 1, there is a way to multiply by 11 quickly, in less than 15 seconds.
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## Step 1: Prepare To Add
Put down the last digit of the number on the right-most side of the answer... | HuggingFaceTB/finemath | |
1. Oct 25, 2016
Incand
1. The problem statement, all variables and given/known data
A turbine is driven by compressed air. The air enter the turbine with temperature $T_1$ and pressure $P_1$. When the air leaves the turbine it's pressure is lowered to $P_2$. Calculate the work done for one mol air.
The expansion of ... | HuggingFaceTB/finemath | |
Rick wins if it is HT and Tick wins if it is TT. Who wins?
A fair coin is being tossed. Whenever a tail follows a head, Rick wins the game and whenever a tail follows a tail, Tick wins. Who has more probability to win?
Let's say the coin has been tossed more than twice. For Tick to win, the last three tosses should b... | HuggingFaceTB/finemath | |
## Calculus 10th Edition
$\ln 5$
When x approaches the value $5$ from the right side, $x\rightarrow 5^{+},$ $x\rightarrow 5,$ $x-4\rightarrow 1$, $\sqrt{x-4}\rightarrow 1$, $\displaystyle \frac{x}{\sqrt{x-4}}\rightarrow\frac{5}{1}=5$, $\displaystyle \ln\left(\frac{x}{\sqrt{x-4}}\right)\rightarrow\ln 5$ | HuggingFaceTB/finemath | |
Question regarding the birthday problem
I was trying to work through the Birthday problem with the assumptions that
($1$) February $29$th is excluded as a possible birthday, and
($2$) All days are equally likely for birthdays to occur,
when I noticed something:
If there are $366$ people in the room, the number of $... | HuggingFaceTB/finemath | |
TESCO Placement Paper Contributed by Shibin updated on Apr 2019
TESCO Placement Paper
1. A person starts with the speed of u/1 kmph and returns with the speed of u/2 kmph, what is his average speed.
2. A cistern will be filled in 9 hrs, but becoz of an outlet it is filled in 10 hrs, if the cistern is filled, then ho... | HuggingFaceTB/finemath | |
## Definition and basic properties of the Jacobson radical of an ideal
Let $R$ be a commutative ring and let $I \subseteq R$ be a proper ideal. Let $\mathcal{M}_I$ denote the set of maximal ideals in $R$ containing $I$; $\mathcal{M}_I$ is nonempty by Proposition 11 in the text. Define $\mathsf{Jac}(I) = \bigcap \mathc... | open-web-math/open-web-math | |
# Exploring Modern Portfolio Theory
Contributed by Stephen Penrice. Stephen took NYC Data Science Academy 12 week full time Data Science Bootcamp pr... between Sept 23 to Dec 18, 2015. The post was based on his second class project (due at 4th week of the program).
## Introduction
I see Shiny as a tool for quickly a... | open-web-math/open-web-math | |
# Econ 15A HW 1
Topics: Standard deviation, Salary, Value Pages: 2 (471 words) Published: October 31, 2014
Homework #1
1. series monthlywages = pternwa * 4
2. series familysize1 = (monthlywages – 908) / 908
series familysize2 = (monthlywages – 1226) / 1226
series familysize3 = (monthlywages – 1544) / 1544
series ... | HuggingFaceTB/finemath | |
Orbit crossnumber
Can you solve it?
This guest crossnumber appeared on page 33 of Issue 18.
Orbit, set by Kwig:
This crossnumber includes radial and clockwise clues. Half the radial entries are entered from the circumference toward the centre; the other half are entered from the centre outwards. All radial entries ... | HuggingFaceTB/finemath | |
# Direction of shearing force
## Homework Statement
why for 0 <x <3 , why the author ignore the 10kN ? as we can see , the 10kN is located 3m from A ......
2nd question is , the author assume downwards force is positive , am i right ?
## The Attempt at a Solution
for 0 <x <3 , the shearing force V = 4kN , as we can... | HuggingFaceTB/finemath | |
1. ## Proof methods
Hello
1. Sometimes to prove a statement false, we negate it and prove the negation is true. Is it also possible to prove a true statement by proving its negation is false with a counter example?
2. Could you explain proof by reduction?
Kardash
2. ## Re: Proof methods
Originally Posted by karda... | HuggingFaceTB/finemath | |
# Physics
A car with mass of 1875kg is traveling along a country road when the driver sees a deer dart out onto the road. The driver slams on the brakes manages to stop before hitting the deer. The driver of a second car with 2135kg is driving too close and does not see the deer. When the driver realizes that the car ... | HuggingFaceTB/finemath | |
# Count all N-length arrays made up of distinct consecutive elements whose first and last elements are equal
• Last Updated : 09 Nov, 2021
Given two integers M and N, the task is to find the number of N-length arrays possible having non-equal adjacent elements lying in the range [1, M] having elements at first and la... | HuggingFaceTB/finemath | |
# The integral of $\sec^4(x)\tan(x)$
Consider the integral $$\int \sec^4(x)\tan(x)$$
Now right off the bat I see two ways of solving this.
1. Let u=$$\sec(x)$$
2.Use integration by parts
Now doing the first way results in the integrand looking like $$\int u^3du=\frac{1}{4}\sec^4(x)+C$$
Which is correct but it's n... | HuggingFaceTB/finemath | |
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5 years ago
12 Constructions and Loci
12 Constructions and Loci
12 Constructions and
MEP Y9 Practice Book B 12 Constructions and Loci 12.1 Recap: Angles and Scale Drawing The concepts in this unit rely heavily on knowledge acquired previously, particularly for angles and scale drawings, so in this first secti... | HuggingFaceTB/finemath | |
## Background
every integer can be written in the form $\sum_{i=1}^6 \epsilon_i F_{n_i}$ with $\epsilon_i \in \{0,-1,1\}$. The upper limit on the summation isn't a typo: every number is the sum/difference of at most 6 fibonacci's.
I believe this is false, even for larger (but still finite) values of $6$:
First of al... | HuggingFaceTB/finemath | |
# Voltage
Voltage
Batteries are sources of voltage in many electric circuits.
Common symbols
V , V
U , U
SI unit volt
Derivations from
other quantities
Voltage = Energy / charge
Dimension M L2 T−3 I−1
Voltage, electric potential difference, electric pressure or electric tension (formally denoted V or U, but more ofte... | HuggingFaceTB/finemath | |
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Algebra is one of the most important branches of mathematics, and it finds its application in various fields like engineering, science, finance, and more. However, many students struggle with Algebra, especially when it comes to solving equations. Lack of understandin... | HuggingFaceTB/finemath | |
Factors of 1198 We have all the information you will ever need about the Factors of 1198. We will provide you with the definition of Factors of 1198, show you how to find the Factors of 1198, give you all the Factors of 1198, tell you how many Factors 1198 has, and supply you with all the Factor Pairs of 1198 to prove ... | HuggingFaceTB/finemath | |
# Expected value and variance of arithmetic mean of random variables
The question is
Let $$X_1,...,X_n$$ be drawn iid from $$Beta(0.1,0.5)$$. Let $$\bar{X} = \frac{1}{n}\sum^n_{i=1} X_i$$.
a) Derive $$\mathbb{E}(\bar{X})$$ and $$\mathbb{V}(\bar{X})$$
I know how to get the expectation and variance of a random variab... | HuggingFaceTB/finemath | |
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Hamming Code implementation in Python
• Last Updated : 10 Jan, 2020
Pre-requisite: Hamming Code
Hamming code is a set of error-correction codes that can be used to detect and correct the errors that can occur when the data is moved or stored from the sender to the receiver. It is a technique develope... | HuggingFaceTB/finemath | |
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# An A_p – A_\infty Conjecture
The weighted theory, started by Benjamim Muckenhoupt, which came of age with the result of Hunt-Muckenhoupt-Wheeden concerns ${ A_p}$ weights. These are defined by
Definition 1 Let ${ w}$ be a weight with density also written as ${ w}$. Assume ${ w>0}$ a.\thinspace e.\thinspace, and ${ ... | open-web-math/open-web-math |
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