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# Composition of Functions
• Jul 13th 2007, 12:28 PM
ceasar_19134
Composition of Functions
I need help understanding whats going on...
Let f(x)=(x^2)-1 and g(x)=3x.
Find f * g.
1.(f * g)(x)=f(g(x))
2.---------=f(3x)
3.---------=((3x)^2)-1
4.---------=(9x^2)-1
I primarily dont understand line 3. How can 3x((x^2)-1)... | HuggingFaceTB/finemath | |
# Suppose the activation energy for some reaction is 33 kJ/mol, and further, suppose you measure the reaction rate at 300 K To keep the concentrations constant but increase therate by a factor of 2 by increasing the temperature, what temperature would you select?Answer in units of K The activation energy is the minimum... | HuggingFaceTB/finemath | |
We received lots of good solutions to this problem - well done everyone! Many of you spotted that Mr McGregor should put $7$ plants in his potting shed at the beginning, and put $8$ plants in each garden. Well done to Henry from Finton House School, Ruth from Manchester High School for Girls, Liam from Wilbarston Schoo... | HuggingFaceTB/finemath | |
# Proof involving an isosceles triangle
I came across this problem in some (maybe) high school book:
Let $ABC$ be an isosceles triangle s.t. $AB=AC$. Also, $\alpha>\beta$. It is known/given:
1. $\frac{BD}{DC}=\frac{\sin(\alpha)}{\sin(\beta)}$.
2. $\frac{S_{ABD}}{S_{ADC}}=\tan(\alpha)$.
Find the base angles of $\tri... | HuggingFaceTB/finemath | |
# Accleration at different point on disc
1 vote
37 views
A disc of mass m and radius R is rolling without slipping on a horizontal fixed rough surface with tramlational velocity v as shown in the figure .
According to me KE should same wrt any point thai is
$(1/2)mv_{cm} ^2 + (1/2)I\omega ^2 = (3/4)mv^2$
In my boo... | HuggingFaceTB/finemath | |
# Fast exponentiation
Fast exponentiation is an algorithm that allows you to raise any number to a natural power for a reduced number of multiplications.
## Description of the algorithm
For any number x and even degree n , the identity holds:
x n = (x n / 2 ) 2 = x n / 2 ⋅ x n / 2
This is the basis of the rapid ex... | HuggingFaceTB/finemath | |
Introductory Chemistry, v. 1.0
by David W. Ball
2.5 Other Units: Temperature and Density
Learning Objectives
1. Learn about the various temperature scales that are commonly used in chemistry.
2. Define density and use it as a conversion factor.
There are other units in chemistry that are important, and we will cov... | HuggingFaceTB/finemath | |
# Normal Distribution Probability in Excel: All Versions up to 2016
Microsoft Excel for statistics > Normal Distribution Probability in Excel
Before you begin, you might find it helpful to review what a normal distribution is. See: What is a normal distribution?
You can also review what different types of word proble... | HuggingFaceTB/finemath | |
# ABCD to scattering parameters derivation
I'm currently studying microwave engineering as a subject.
Everywhere on the internet and the books, they've only shown the derivation of S11 and S22 from ABCD parameters of a network. Yes, that's intuitive, since S11 is tau(in) and S22 is tau(out), and I have impedance form... | HuggingFaceTB/finemath | |
# How to Find Determinant of 3×3 Matrix: A Step-by-Step Guide
## Introduction
### Definition of Determinant
Determinant is a fundamental mathematical concept that is used in many different fields, including physics, engineering, and economics. It is a scalar value that can be assigned to a square matrix, and its val... | HuggingFaceTB/finemath | |
A primitive Pythagorean triple
I was reading a proof of the case $n=4$ of Fermat's last theorem. The first step was to let $(x,y,w)$ be a solution to $x^4+y^4=w^2$ in positive integers with minimal $w$. Then the proof said that $(x^2,y^2,w)$ will be a primitive Pythagorean triple. But I do not know why this must be tr... | HuggingFaceTB/finemath | |
# Pneumatic cylinder output force calculations | Pneumatic cylinder selection guide
Pneumatic cylinder force calculations formulas includes force calculation, air consumption, Output power. Pneumatic systems use compressed air to move object using cylinder, motor or other mechanical parts. Hydraulic and Pneumatic syst... | HuggingFaceTB/finemath | |
## The One Dimensional Heat Conduction Equation
written by: Dr. Crystal Cooper • edited by: Lamar Stonecypher • updated: 10/29/2009
Heat conduction is one of the three modes of heat transfer. In 1822, a French physicist published a treatise giving a complete theory and mathematical model. Who was he, and which mathem... | HuggingFaceTB/finemath | |
# College Algebra (MATH-1150)
The main idea that separates College Algebra from previous algebra courses is an emphasis on functions. While you should have seen that concept before, you may not have concentrated on it very much. Now you will.
An expression like 3x + 2 literally stands for a real number; you simply do... | HuggingFaceTB/finemath | |
# CDS 2016 Maths Question Paper -1
1. If the roots of the equation lx2 + mx + m = 0 are in the ratio p : q, then is equal to
• 0
• 1
• 2
• 3
1. IF has α and β as its roots, then the value
of αβ is
• -15
• -5
• 0
• 5
1. If p/x+ q/y = m and q/x + p/y= n, then what is x/y equal to?
• np+mq/mp+nq
• np+mq/mp-nq
• np-mq/mp... | HuggingFaceTB/finemath | |
# Count of integral coordinates that lies inside a Square
Given lower left and upper right coordinates (x1, y1) and (x2, y2) of a square, the task is to count the number of integral coordinates that lies strictly inside the square.
Examples:
Input: x1 = 1, y1 = 1, x2 = 5, x3 = 5
Output: 9
Explanation:
Below is the s... | HuggingFaceTB/finemath | |
## A Question of Proportion
Ok, why does one shape “work” and another not? This has been a topic of research for I don’t know how long.
Great art seems to conform to the proportions laid out in the golden section or golden rectangle. Getting to that relationship is easy, using story sticks and some tricks based upon ... | HuggingFaceTB/finemath | |
2 Linear Equations Anchor Descriptor Eligible Content PA Common Core Standards A1. In SSC CGL Exam Algebra topic is very important in numeric ability. All of HSLDA Online Academy’s courses have live, weekly class sessions taught by qualified instructors. 4810 – 100 = g. 2Simplify fully: 4x × 5x 4. Holt algebra 1 chapte... | open-web-math/open-web-math | |
# GEO104 University Of California Salinity Mass Volume & Density Questions
Anonymous
### Question Description
I need these questions answered, with step by step solutions. This is for my course, Physical Oceanography, and we are working with salinity, volume, density of sea water, mass, etc. I don't know how to solv... | HuggingFaceTB/finemath | |
# Prime numbers from 1 to 63
## Prime Numbers Before Calculator
Enter a natural number to calculate the primes before it:
Ex.: 4, 11, 64, 128, ... until 10,000.
#### Prime Numbers Before 63:
The number 63 is not a prime number because it is possible to express it as a product of prime factors. In other words, 63 ca... | HuggingFaceTB/finemath | |
# Rational Maps
This formula makes Julia sets from the following class of functions:
`zk+1 = zkP + c - λzk-Q`
P is >= 2 while Q is <= -1. The + c is optional and allows us to perturb familiar Julia sets in interesting ways. Simply varying λ, P and Q allows us to produce a bewildering variety of forms. Credit is due ... | HuggingFaceTB/finemath | |
Level 2
Pete bought 6 oranges for \$9. If he sold them later and earned a profit of \$p, how much did he sell 1 orange for?
2 m
Level 2
A handbag cost \$6 more than a dress but \$10 less than a watch. If the total cost of the handbag, the dress and the watch is \$z, find the cost of the dress in terms of z.
2 m
Level 2... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 50/15 and 18/16
1st number: 3 5/15, 2nd number: 1 2/16
50/15 is greater than 18/16
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 15 and 16 is 240
2. For the 1st fraction, since 15 × 16 = 240,
50/15 = 50... | HuggingFaceTB/finemath | |
# Print maximum sum square sub-matrix of given size in C Program.
Given a matrix of NxN find a sub matrix of MxM where M<=N and M>=1 such that addition of all the elements of matrix MxM is maximum. Input of matrix NxN can contain zero, positive and negative integer values. ## Example
Input:
{{1, 1, 1, 1, 1},
{2, 2, 2... | HuggingFaceTB/finemath | |
Explore BrainMass
# Quantitative Methods
This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
The Willow Furniture Company produces tables. The fixed monthly cost of production is \$8,000, and the variable cost per table is \$65. The tables sell for \$180 a pie... | HuggingFaceTB/finemath | |
# Multiple Regression Formula ## What is a Multiple Regression Formula?
Multiple regression formula is used in the analysis of relationship between dependent and multiple independent variables and formula is represented by the equation Y is equal to a plus bX1 plus cX2 plus dX3 plus E where Y is dependent variable, X... | HuggingFaceTB/finemath | |
1) Let X be the length of the first linked list until intersection point.
Let Y be the length of the second linked list until the intersection point.
Let Z be the length of the linked list from intersection point to End of
the linked list including the intersection node.
We Have
X + Z = C1;
Y + Z = C2;
2) Reverse first... | HuggingFaceTB/finemath | |
### Home > APCALC > Chapter 8 > Lesson 8.3.3 > Problem8-132
8-132.
Multiple Choice: The equation of the line normal to the curve $y = x^4 + 3x^3 + 2$ at the point where $x = 0$ is:
1. $y = x$
1. $y = 13x$
1. $y = 0$
1. $y = x + 2$
1. $x = 0$
A 'normal line' is perpendicular to a 'tangent line' at the point of... | HuggingFaceTB/finemath | |
# Ow is velocity independent of mass
• phy21050
In summary, the conservation of mechanical energy states that in a collision between two objects with equal mass, the resulting velocity will be independent of the mass of the objects. This is true whether special relativity is taken into account or not. However, in a si... | HuggingFaceTB/finemath | |
# How does a calculator know the answer?
## Math and take root
What a root is in mathematics and how to pull the root is explained here in a simple way. Go to content:
• A Explanationwhat you need roots for.
• Examples how to calculate roots (also in writing, without a calculator).
• Tasks / exercises to practice th... | HuggingFaceTB/finemath | |
# 10 Days of Statistics my solution
## Day 0: Mean, Median, and Mode
```# Enter your code here. Read input from STDIN. Print output to STDOUT
wtf=raw_input()
wtf2=raw_input()
print wtf,type(wtf)
print wtf2, type(wtf2)
10 <type 'str'>
64630 11735 14216 99233 14470 4978 73429 38120 51135 67060 <type 'str'>
```
my so... | HuggingFaceTB/finemath | |
1Analytic functions
IB Complex Methods
1.2 Complex differentiation
Recall the definition of differentiation for a real function f(x):
f
0
(x) = lim
δx0
f(x + δx) f(x)
δx
.
It is implicit that the limit must be the same whichever direction we approach
from. For example, consider
|x|
at
x
= 0. If we approach from the r... | HuggingFaceTB/finemath | |
# Difference between revisions of "2004 AIME I Problems/Problem 6"
## Problem
An integer is called snakelike if its decimal representation $a_1a_2a_3\cdots a_k$ satisfies $a_i if $i$ is odd and $a_i>a_{i+1}$ if $i$ is even. How many snakelike integers between 1000 and 9999 have four distinct digits?
## Solution 1
W... | HuggingFaceTB/finemath | |
1. ## ortogonal projection
let V be the cloumn space of matrix A
1 -1
1 2
1 -1
then the orthogonal projection of
0
1
0
on V is ?
2. Notice that the column vectors of your matrix are orthogonal, and hence form a basis for the subspace W spanned by
$\vec{v_{1}} \mbox{ and } \vec{v_{2}}$
So the projection of $\vec{y} ... | HuggingFaceTB/finemath | |
# Root of 50320
#### [Root of fifty thousand three hundred twenty]
square root
224.3212
cube root
36.9187
fourth root
14.9774
fifth root
8.7166
In mathematics extracting a root is declared as the determination of the unknown "x" in the equation $y=x^n$ The outcome of the extraction of the root is known as a root. In ... | HuggingFaceTB/finemath | |
## Intermediate Algebra for College Students (7th Edition)
Solve for $z$ in the given equation by doing the following steps: (1) Multiply $z$ to both sides. $z \cdot y = z \cdot \dfrac{kx}{z} \\yz = kx$ (2) Divide by $y$ on both sides of the equation: $\dfrac{yz}{y} = \dfrac{kx}{y} \\z=\dfrac{kx}{y}$ Thus, the given s... | HuggingFaceTB/finemath | |
# what is 7 to the 5th power
Answer: 5 to the power of 4 can be expressed as 54 = 5 × 5 × 5 × 5 = 625.
## What is 8 by the power of 4?
8 to the 4th power is equal to 4,096.
## What is 5 by the power of 3?
Explanation: 53 = 5 × 5 × 5 = 125. 53 can also be understood as 5 cubed. Whenever a number (x) is multiplied b... | HuggingFaceTB/finemath | |
1. ## Volume from Revolution
Hey everyone. I have to revolve the surface bounded by $\displaystyle y=x\sqrt{x+1}$ and y = 0 around the y-axis and find the volume underneath it. I just have to set up the integral from [a,b]. The problem is, I don't know how to take the inverse of that function. From there I can just do... | HuggingFaceTB/finemath | |
Chapter 6.4, Problem 51E
### Calculus (MindTap Course List)
11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Chapter
Section
### Calculus (MindTap Course List)
11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem
# Solving s First-Order Differential Equation In Exercises 49-56, find the gen... | HuggingFaceTB/finemath | |
#### How to Multiply in Excel
Multiplication is one of the fundamental mathematical operations, and Excel provides a simple yet powerful way to perform multiplication tasks within your spreadsheets. Whether you’re calculating product costs, total revenues, or any other scenario involving repeated addition, mastering E... | HuggingFaceTB/finemath | |
# How do you foil (n-7)(3n-2)?
Aug 26, 2015
=color(blue)(3n^2-23n+14
#### Explanation:
The expression is : (n−7)(3n−2)
F O I L involves carrying out the below operations in the following order:
1) product of First terms :$\left(\textcolor{b l u e}{n \mathmr{and} 3 n}\right)$+
2)product of Outside terms:$\left(\t... | HuggingFaceTB/finemath | |
Ranking methods for 1st-person-shooters
Static rankings
This section is about the problem to estimate the strengths of the players with help of some given data. Here the strength of a player is looked upon as an unknown constant, which has to be found. A development in time is not subject of this section, but of the ... | HuggingFaceTB/finemath | |
# Glass door
What is the weight of glass door panel 5 mm thick height 2.1 meters and a width of 65 cm and 1 cubic dm of glass weighs 2.5 kg?
Result
m = 17.063 kg
#### Solution:
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Be the first to comment!
#### To solve this e... | HuggingFaceTB/finemath | |
# Which Rectangle is More Like a Square?
Directions: Which rectangle is more like a square? Rectangle A is 13 units by 15 units. Rectangle B is 2 units by 3 units.
### Hint
How can we determine which is more square like? What does it mean to be square like?
There are many ways to approach this problem including... | HuggingFaceTB/finemath | |
## Video and Examples
These two videos will show you how to subtract fractions that require regrouping. Sample $2\frac{1}{3}\,-\,1\frac{1}{2}\,=$
To subtract fractions that require regrouping, there are four steps you must follow:
1. Rename with common denominators
2. Regroup the first fraction
3. Subtract the whole... | HuggingFaceTB/finemath | |
Assessment
1
1
Balanced Assessment
#### Batting Orders
For Students 9th - 12th Standards
A baseball coach has more than 700 billion decisions to make before a game even starts, and in this resource individuals calculate the number of ways a coach can make a batting lineup. The first question places nine players out o... | HuggingFaceTB/finemath | |
Maximizing Profit given just Cost Function
To clarify this is for an economics course.
$$x \in \mathbb R^n$$ For a firm with two outputs with cost function where
$$C(q)=q_1^2+q_2^2+10$$ given output levels $q=(q_1,q_2) \ge 0$.
If output prices given and fixed, find profit maximizing solution.
I tried to find the g... | HuggingFaceTB/finemath | |
# Capacitance of ring
1. May 20, 2013
### Saitama
http://physics.stackexchange.com/qu...e-electrostatic-force-does-wire-thickness-mat
The first answer calculates the radial force using the capacitance of ring. Any ideas how the poster derived the formula for capacitance? Is the formula different for MKS units? I am... | HuggingFaceTB/finemath | |
Examples
Chapter 13 Class 8 Direct and Inverse Proportions
Serial order wise
Get live Maths 1-on-1 Classs - Class 6 to 12
### Transcript
Example 1 The cost of 5 metres of a particular quality of cloth is Rs 210. Tabulate the cost of 2, 4, 10 and 13 metres of cloth of the same type. Given cost of 5 metres of cloth =... | HuggingFaceTB/finemath | |
Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °
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## #1 2006-03-11 12:10:27
lakitu
Member
Registered: 2006-03-08
Posts: 5
### polar points in rectanglular coordinates
My teacher has told me I will need to be able to do these in ... | HuggingFaceTB/finemath | |
## What is 5 come the 4th power?
625The exponent of the number 5, 4, also called table of contents or power, denotes how many times to main point the base (5). 5 to the strength of 4 = 54 = 625.
You are watching: -5 to the fourth power
## What is 5 to the 4th power together a fraction?
1/6255 come the negative 4th ... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A267101 2 followed by permutation of odd primes, where each n-th prime of the form 4k+1 (A002144) has been replaced with the n-th prime... | HuggingFaceTB/finemath | |
X
X
# Calculate the Least Common Multiple or LCM of 958
The instructions to find the LCM of 958 are the next:
## 1. Decompose all numbers into prime factors
958 2 479 479 1
## 2. Write all numbers as the product of its prime factors
Prime factors of 958 = 2 . 479
## 3. Choose the common and uncommon prime fact... | HuggingFaceTB/finemath | |
# Solving Radical Equations – Practice ProblemsHaving fun while studying, practice your skills by solving these exercises!
#### This exercise will soon be on your smartphone!
For now, Practice Problems are only available on tablets and desktop computers. Please log in on one of these devices.
Do you need help? Watch... | HuggingFaceTB/finemath | |
归并排序存档【转】
1、分冶法---分冶思想的介绍
``````分解： 原问题分解为子问题，子问题是原问题规模较小的实例。
``````
``````分解： 分解待排序的n个元素的序列成各自具有n/2个元素的两个子序列。
``````
2、 归并排序伪代码描述
``````主过程： MERGE-SORT(A, startIndex, endIndex), A: 待排数组 startIndex： 起始数组下标 endIndex： 截止数组下标
MERGE-SORT(A, startIndex, endIndex)
if startIndex < endIndex
midIndex = (startIndex + en... | HuggingFaceTB/finemath | |
1 October, 05:08
# Suppose a reaction was run that produces hydrogen gas and a sample of H2 (g) collected. As a result of the collection 145 ml of water is displaced. the pressures of the gas and atmospheric pressure are equalized using the method described in this experiment. The atmospheric pressure is 745 mm Hg. Th... | HuggingFaceTB/finemath | |
User - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T21:46:55Z http://mathoverflow.net/feeds/user/6129 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/28983/characterizing-convex-polynomials/28985#28985 Answer by coudy for Characterizing convex polynomials c... | open-web-math/open-web-math | |
# Price Employee Paid
Discussion in 'Algebra' started by nycmathguy, May 19, 2022.
1. ### nycmathguy
Joined:
Jun 27, 2021
Messages:
5,386
422
GRE practice math test just for fun.
The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. After the price ... | HuggingFaceTB/finemath | |
Document related concepts
no text concepts found
Transcript
```Simplify,
(a – x)(b – x)(c – x) . . . (z –x)
Simplify,
(a – x) . . . (x – x)(y – x)(z –x)
Simplify,
(a – x) . . . (x – x)(y – x)(z –x)
Simplify,
(a – x) . . . (x – x)(y – x)(z –x)
(a – x) . . . (0)(y – x)(z –x)
Simplify,
(a – x) . . . (x – x)(y – x)(z –x)
(... | HuggingFaceTB/finemath | |
In double-slit experiment using light of wavelength 600 nm,
Question:
In double-slit experiment using light of wavelength 600 nm, the angular width of a fringe formed on a distant screen is 0.1º. What is the spacing between the two slits?
Solution:
Wavelength of light used, λ = 6000 nm = 600 × 10−9 m
Angular width ... | HuggingFaceTB/finemath | |
0
# How do you write 610 as a decimal?
Updated: 9/20/2023
Wiki User
8y ago
6/10 written as a decimal is 0.6
610 written as a decimal is 610.0
Wiki User
8y ago
Earn +20 pts
Q: How do you write 610 as a decimal?
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### What is 610 as decimal fraction?
610 is an integ... | HuggingFaceTB/finemath | |
# Numbers 1-20: Lesson for Kids
Instructor: Rayna Cummings
Rayna has taught Elementary Education for 12 years (in both 1st, 2nd, and 3rd grades) and holds a M.Ed in Early Childhood Education from The Ohio State University
Counting the numbers from 1 to 20 can be done in several different ways. In this lesson, you wi... | HuggingFaceTB/finemath | |
# Rhombus Calculator
Instructions:
• Enter the values for side length, altitude, diagonal 1, diagonal 2, angle A, and angle B.
• Select the appropriate units for each input.
• Click "Calculate" to perform the calculations and view the results.
• Click "Clear" to reset the input fields, results, and calculation details... | HuggingFaceTB/finemath | |
# What is the mass of .1 mole of magnesium atoms?
Jun 26, 2017
$2.43$ $\text{g}$
#### Explanation:
We're asked to find the mass of $0.1$ $\text{mol Mg}$.
To solve this, along with any mass-to-mole conversion, we need to know the molar mass of the substance.
On most periodic tables, for each element there is a mas... | HuggingFaceTB/finemath | |
+0
0
3
1
+17
At the office, mice vary inversely with cats, that is, mice = k/cats, for some value of k. When there are 3r-19 cats, there are 2r+1 mice, and when there are 6r-24 mice, there are r-3 cats. Find k.
Aug 10, 2024
#1
+480
0
Understanding the Problem
We're given an inverse relationship between mice and c... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 13 Aug 2018, 23:42
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.
Customized
for You... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A190322 a(1) = 1, a(2) = 9, a(3) = 17; for n>3, a(n) = a(n-3) + 2. 2
1, 9, 17, 3, 11, 19, 5, 13, 21, 7, 15, 23, 9, 17, 25, 11, 19, 27,... | HuggingFaceTB/finemath | |
# Expanded Form and Word Form Calculator
Sharing is caring!
Instructions:
• Enter a number in the "Enter a number" field.
• Click "Calculate" to calculate the expanded and word form of the number.
• Your results will be displayed in the "Expanded Form" and "Word Form" fields.
• You can copy the results to the clipboa... | HuggingFaceTB/finemath | |
Thursday
May 5, 2016
# Homework Help: Math
Posted by Vince on Monday, May 31, 2010 at 2:47pm.
Mary's age is 2/3 that of peter's. Two years ago Mary's age was 1/2 of what Peter's age will be in 5 year's time. How old is peter now?
• Math - MathMate, Monday, May 31, 2010 at 8:50pm
Let P=peter's age, and
M=Mary's age.... | HuggingFaceTB/finemath | |
The nearest neighbors search: Moving to k-dimensional spaces
In section 8.2, we showed that it is possible to efficiently solve the nearest neighbor problem in 1-D by using a binary search tree. If you read through the book and the appendices on core data structures, you should be familiar with binary trees. (If you d... | HuggingFaceTB/finemath | |
# Week of February 10-14, 2014
Chapter 1 Mid-Chapter Study Guide
Greatest Common Factor or GCF-the greatest factor that two or more numbers have in common. The factors of two numbers is less than or equal to the numbers.
Least Common Multiple or LCM-the least number that is a common multiple of two or more numbers. ... | HuggingFaceTB/finemath | |
# Life curve application in normal distribution
Home » Thohoyandou » Normal distribution curve application in life
## What are the application of normal distribution in our
Normal distribution University of Notre Dame. Well, the reality is that a lot of data does have a normal distribution in the real world, if meas... | HuggingFaceTB/finemath | |
# Math 115 Exam #1 Practice Problems
```Math 115 Exam #1 Practice Problems
For each of the following, say whether it converges or diverges and explain why.
n3
n=1 n5 +3
1.
P∞
2.
P∞
3.
P∞
3n
n=1 4n +4
n
n=1 2n
4. For what values of p does the series
np
n=1 2+n3
P∞
converge?
P∞
1
5. We would like to estimate the sum of ... | HuggingFaceTB/finemath | |
# Probability and counting rules; Discrete probability distributions
Can you help me understand this Statistics question?
Recall the car data set you identified in Week 2. You will want to calculate the average for your data set. (Be sure you use the numbers without the supercar outlier) Once you have the average cou... | HuggingFaceTB/finemath | |
## 4.2.3 Considerations in the construction of Frequency distributions
4.2.3 Considerations in the construction of Frequency distributions
It is difficult to lay down any hard and fast rules for constructing a frequency distribution, since it depends on the nature of the given data and the object of classification.
... | HuggingFaceTB/finemath | |
# Thread: Probability of a (discrete) random variable
1. ## Probability of a (discrete) random variable
I'm having trouble understanding this question:
Suppose the random variable x = 1, 2, 3, 4, 5, 6.
p(1)=p(2) and p(3)=p(4)=p(5)=p(6)
If the mean μ=4.00, then P(2 ≤ x ≤ 3) is:
So since all the values of x are laid o... | HuggingFaceTB/finemath | |
# How do I make sums full size in cases?
• May 15th 2010, 02:57 AM
scorpion007
How do I make sums full size in cases?
I.e. in the following, the sums are inline, but I'd like them larger.
$\displaystyle f(z)=\begin{cases}-\frac{1}{z-2}\sum_{n=0}^\infty \left(\frac{z-2}{2}\right)^2, & \text{for}~ |z-2|<2 \\ \frac{2}{(... | HuggingFaceTB/finemath | |
# Computing: Website and Database Programming
## Mathematics: Logarithm equations.
1. Solving logarithm equations.
Logarithm equations are equations, where at least one of the equation terms is a logarithm expression. Such equations are part of most intermediate mathematics courses and the equations studied usually... | HuggingFaceTB/finemath | |
Mathematical Structures: Semilattices with zero
# Semilattices with zero
Showing revision 3
http://mathcs.chapman.edu/structuresold/files/Semilattices_with_zero.pdf
%%run pdflatex
%
\documentclass[12pt]{amsart}
\usepackage[pdfpagemode=Fullscreen,pdfstartview=FitBH]{hyperref}
\parindent=0pt
\parskip=5pt
\theoremsty... | HuggingFaceTB/finemath | |
## Dec 7, 2013
### IBPS Clerk Model Paper | IBPS Clerk Numerical Ability Questions
1. One of the angles of a parallelogram is 42°. What is the sum of smallest angle and twice the largest angle of the parallelogram?
(1) 256°
(2) 307°
(3) 297°
(4) Cannot be determined
(5) None of these
2. In an examination it is re... | HuggingFaceTB/finemath | |
Under the auspices of the Computational Complexity Foundation (CCF)
REPORTS > DETAIL:
### Revision(s):
Revision #2 to TR09-072 | 3rd December 2009 00:19
#### Hardness Amplification in Proof Complexity
Revision #2
Authors: Paul Beame, Trinh Huynh, Toniann Pitassi
Accepted on: 3rd December 2009 00:19
Keywords:
Abst... | open-web-math/open-web-math | |
Question
# The histogram shows the distribution of stops for red traffic lights a commuter must pass through...
The histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. Use the histogram to find the mean, variance, standard deviation, and expected value o... | HuggingFaceTB/finemath | |
Do my algebra homework
Do you need help with your math homework? Are you struggling to understand concepts how to do my algebra homework?
Help me with my algebra homework
As a student, there are times when you need to do my algebra homework. A simultaneous equations solver is a mathematical tool that can be used to ... | HuggingFaceTB/finemath | |
# Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's and Playfair's Editions ...
Collins, Brother & Company, 1846 - 138 СЕКъДЕР
### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР
дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.
### пЕЯИЕВЭЛЕМА
еМЭТГТА 1 2 еМЭТГТА 2 3 еМЭТГТА 3 7 еМЭТГТА 4 11 еМЭТГТ... | HuggingFaceTB/finemath | |
10/8/2021
## 10.2 Usubstitution Indefinite Integralsap Calculus
19
Substitution is just one of the many techniques available for finding indefinite integrals (that is, antiderivatives). Let's review the method of integration by substitution and get some practice for the AP Calculus BC exam. The Substitution Rule Int... | HuggingFaceTB/finemath | |
# Prove that if a positive integer is of the form 6q + 5,
Question:
Prove that if a positive integer is of the form 6q + 5, then it is of the form 3q + 2 for some integer q, but not conversely.
Solution:
To Prove: that if a positive integer is of the form 6q + 5 then it is of the form 3q + 2 for some integer q, but... | HuggingFaceTB/finemath | |
# Sequentially compact space
Hymne
Hello Physicsforums!
I have a problem with the difference between complete metric space and a sequentially compact metric space.
For the first one every Cauchy sequence converges inside the space, which is no problem.
But for the last one "every sequence has a convergent subsequence.... | HuggingFaceTB/finemath | |
# 107928 (number)
107,928 (one hundred seven thousand nine hundred twenty-eight) is an even six-digits composite number following 107927 and preceding 107929. In scientific notation, it is written as 1.07928 × 105. The sum of its digits is 27. It has a total of 6 prime factors and 24 positive divisors. There are 35,95... | HuggingFaceTB/finemath | |
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Investigation about how different factors affect the resistance of a wire
Extracts from this document...
Introduction
Investigation about how different ... | HuggingFaceTB/finemath | |
# Cauchy sequence
(Redirected from Cauchy sequences)
In mathematical analysis, a Cauchy sequence, named after Augustin Cauchy, is a sequence whose elements become close as the sequence progresses. To be more precise by dropping a finite number of elements from the start of the sequence we can make the distance betwee... | HuggingFaceTB/finemath | |
# Fractions of Fractions
This is day 1 of multiplication of fraction by a fraction and I can already see this will dramatically increase my blogging! So much to write about (for reflection, excitement and possibly confusion). With the implementation of CCSS this year, this is new in the Investigations curriculum and I... | HuggingFaceTB/finemath | |
galois.lagrange_poly(x: Array, y: Array) Poly
Computes the Lagrange interpolating polynomial $$L(x)$$ such that $$L(x_i) = y_i$$.
Parameters:
x: Array
An array of $$x_i$$ values for the coordinates $$(x_i, y_i)$$. Must be 1-D. Must have no duplicate entries.
y: Array
An array of $$y_i$$ values for the coordinates ... | HuggingFaceTB/finemath | |
It is currently 20 Sep 2017, 06:15
### 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.
Customized
for You
we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
Compute the number of cups of coffee that witi drinks
Assignment Help Basic Statistics
Reference no: EM131757650
Question: Ahren and Witi both love coffee. When Ahren is in the office, he drinks one cup of coffee with probability 0.6 and no cups of coffee with probability 0.4. When Witi is in the office, he drinks tw... | HuggingFaceTB/finemath | |
# The brakes on a car permit it to decelerate at the rate of -8.0m/s^2. How much distance is required to stop this car when it is travelling 60.0km/hr?
I solved it this way
60km/h = 16.667m/s
A=V/T 16.667m/s / -.80m/s^2 = 20.834 seconds
D=RT 16.667m/s x 20.834seconds = 347.24m
This is wrong and I do not understand wh... | HuggingFaceTB/finemath | |
# Z^4=-80i or general z^n=a+bi
Tags:
1. Feb 20, 2017
### Wi_N
1. The problem statement, all variables and given/known data
I just cant seem to get the right answer. z^4+80i=0
looking at the complex plane u see the radius=r=80 (obviously)
using De Moivre extension: z^n=(r^(1/n))(cos((x/n)+k2pi/n)-isin((x/n)+k2pi/n)... | HuggingFaceTB/finemath | |
# |G|=pq then |G| is abelian or Z(G)=1
## Homework Statement
Show that if $|G|=pq$ for some primes p and q, then G is abelian or Z(G)=1.
## Homework Equations
|G| = pq =⇒ |Z(G)| = 1, p, q, or pq. Prove: |Z(G)| = p and |Z(G)| = q are impossible. If
|Z(G)| = p then |G/Z(G)| =|G|/|Z(G)| =pq/p = q. But then, since G/Z(... | HuggingFaceTB/finemath | |
# 12.2 Boundary conditions (Page 3/5)
Page 3 / 5
For example, if we consider a rope that can move in a pipe such that it can have
• both ends free to move (Case 1)
• one end free and one end fixed (Case 2)
• both ends fixed (Case 3).
Each of these cases is slightly different because the free or fixed end determin... | HuggingFaceTB/finemath | |
# 3:50 PM in 24-Hour Military Time
## What is 3:50 PM in Military Time?
Answer: 3:50 PM in 24-Hour (Military) Time it is 15:50
3:50 PM 12 = 15:50 24
## 3:50 PM / 15:50 Time on the Clock
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12 Hour Clock (AM/PM) 24 Hour Clock Military Time
3:50 PM15:501550
## Explanation of 3:50 PM to 15:50... | HuggingFaceTB/finemath | |
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# Convective derivative
The convective derivative (also commonly known as the advective derivative, substantive derivative, or the material derivative) is a derivative taken with respect to a coordinate system moving with velocity u, and is often used in fluid mechanics and classical m... | HuggingFaceTB/finemath |
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