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• Volume 112, Issue 1
February 2002, pages 1-255
• Foreword
• The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H C Yang
In this paper we present a unified and simplified approach to the universal eigenvalue inequalities of Payne—Pólya—Weinberger, Hile—Protter, and Yang. We then genera... | open-web-math/open-web-math | |
# Quaternions in Computer Graphics
## Introduction
While crossing a bridge with his wife, Sir William Hamilton made a mathematical discovery so profound he carved it onto a stone. After 10 years of work, he had finally found a way to simultaneously rotate about multiple axis. He named his discovery Quaternions.
Alth... | HuggingFaceTB/finemath | |
I'm dealing with a problem here. The problem is as follows:
There is a set $Z_p=\{0,1,2,3,...,p-1\}$ where $p$ is a prime.
From this set we form a new set $B=\{x+x^{-1}\mid x\in Z_p\}$, where the inverse of x is x^-1=a that fulfills the condition ax=1(mod p)
The question is: What is the cardinality of set B?
I have... | HuggingFaceTB/finemath | |
+0
# How does this work?
+1
67
1
How does X in this equasion equals to 2 if 2-2=0 and you can't devide by zero? (x-1)/(x-2)-2/x=1/(x-2)
Guest Oct 8, 2017
Sort:
#1
+5553
+2
$$\frac{x-1}{x-2}-\frac{2}{x}\,=\,\frac{1}{x-2}$$
First let's get a common denominator.
$$\frac{(x)(x-1)}{(x)(x-2)}-\frac{2(x-2)}{(x)(x-2)}\... | HuggingFaceTB/finemath | |
# Using 12v car battery to supply multiple “3.5v” devices
I'm trying to supply power to strings of LED lights for emergency lighting purposes with a 12v car battery. With the 12v supply I figured I could get 3 sets going at the same time.
The power supply that comes with them says:
INPUT: 120V-60HZ,0.06A - OUTPUT: 3... | HuggingFaceTB/finemath | |
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Associated Topics || Dr. Math Home || Search Dr. Math
### Field Theory: Splitting Field
```Date: 06/12/2002 at 23:31:39
From: Lucia
Subject: Field theory-Abstract algebra
Hello, Dr. Math.
help with the following:
Find the splitting field of (x^3 - 5)
Thank you very much.
Lucia
```
```
Date: 06/13/2002 at 11:58:0... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer ... | HuggingFaceTB/finemath | |
# Biophysics Problem 11
A horse pulls an old-fashioned cutter along a level icy surface at a steady speed of $15\; m/ s.$ The cutter and its load have a total mass of $250\; kg.$ If the horse is providing a constant pulling force of $125\; \text{newtons,}$ what is the coefficient of friction?
#### First Step
First m... | HuggingFaceTB/finemath | |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are viewing an older version of this Concept. Go to the latest version.
# Special Right Triangles
## Properties of 30-60-90 and 45-45-90 triangles.
0%
Progress
Practice Special Righ... | open-web-math/open-web-math | |
# GRE Quantitative Comparison Tip #3 – Logic over Algebra
In previous posts (Tip #1 – Dealing with Variables, Tip #2: Striving for Equality), I have discussed two approaches when tackling Quantitative Comparison (QC) questions involving variables. Those approaches are:
1) Apply algebraic techniques
2) Plug in number... | HuggingFaceTB/finemath | |
# Power Dissipation in Resistor Circuits
We can find voltages and currents in simple circuits containing resistors and voltage or current sources. We should examine whether these circuits variables obey the Conservation of Power principle: since a circuit is a closed system, it should not dissipate or create energy. F... | HuggingFaceTB/finemath | |
# What is 136/25 as a decimal?
## Solution and how to convert 136 / 25 into a decimal
136 / 25 = 5.44
136/25 converted into 5.44 begins with understanding long division and which variation brings more clarity to a situation. Both are used to handle numbers less than one or between whole numbers, known as integers. B... | HuggingFaceTB/finemath | |
### Author Topic: TUT0301 Quiz3 (Read 525 times)
#### Siyan Chen
• Jr. Member
• • Posts: 5
• Karma: 0 ##### TUT0301 Quiz3
« on: October 11, 2019, 02:22:45 PM »
quiz 2 (tut 0301)
$$y’’ + 4y = 0,\ y_{1}(t) = \cos(2t),\ y_{2}=\sin(2t)$$
The given solution of differential equation is: $y_{1}(t) = \cos(2t)$
So, $y_{1}’(... | HuggingFaceTB/finemath | |
# Inverting Op-Amp
Discussion in 'Homework Help' started by need_help, Jan 27, 2010.
1. ### need_help Thread Starter New Member
Sep 7, 2009
23
0
It has been a while since I learned Op-Amps. Can someone please direct me how to solve this problem.
Vin= +1V
Find Vout, I1, I2, I3,I0
File size:
11 KB
Views:
27
Apr 20,... | HuggingFaceTB/finemath | |
Lesson 18: Introduction to Algebra: Expressions and Variables
Size: px
Start display at page:
Transcription
2 Lesson 18 Warm-up: Solve the movie ticket problem Time: 10 Minutes Write on the board: A movie theatre owner wants to know if there is a relationship between the number of tickets sold and how long the movie... | HuggingFaceTB/finemath | |
# What Does Percent Agreement Mean
| 12/20/2020
If you have multiple reviewers, calculate the percentage agreement as follows: Inter-counsel reliability is the degree of correspondence between counsel or judges. If everyone agrees, IRR is 1 (or 100%) and if not everyone agrees, IRR is 0 (0%). There are several method... | HuggingFaceTB/finemath | |
# Numerical Solution of Ordinary Differential Equations Matlab Component
This page contains links to the hand-outs, problem sheets and designed for a Matlab practical on numerical methods for ordinary differential equations held in the 99/00 autumn semester at Brunel University.
## Handouts
All handouts are download... | HuggingFaceTB/finemath | |
# NCERT Solutions For Class 9 Math | Exercise 13.4
###### Chapter 13: Surface Areas & Volumes | Surface Area of Sphere | Hemisphere
Exercise 13.4 of class 9 NCERT math text books comprises 9 questions. This exercise focuses on curved surface area of sphere, curved surface area of hemisphere and total surface area of ... | HuggingFaceTB/finemath | |
Home
# Bitwise NOR
### Binary NOR Calculator - Calculate Bitwise NOR - Online
World's simplest bitwise NOR calculator for web developers and programmers. Just paste your binary numbers in the form below, press Compute Binary NOR button, and you get binary bitwise NOR of all the binary values. Press button, NOR binar... | HuggingFaceTB/finemath | |
# Common Tangents to Two Circles II What is this about? A Mathematical Droodle
### If you are reading this, your browser is not set to run Java applets. Try IE11 or Safari and declare the site https://www.cut-the-knot.org as trusted in the Java setup. What if applet does not run?
(Points O, P, Q, R move horizontally.... | HuggingFaceTB/finemath | |
One of the reasons why Bitcoin keeps attracting so much attention is its exceptional "math". Satoshi Nakamoto has managed to create a system that can function with a complete absence of trust between its participants. All interactions are based on strict mathematics, no human factor involved. That was the revolutionary... | open-web-math/open-web-math | |
Refer to our Texas Go Math Grade 2 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 2 Module 9 Assessment Answer Key.
Concepts and Skills
Write the difference. (TEKS 2.4.B)
Question 1.
Explanation:
when we do not have enough ones to subtract
we have ... | HuggingFaceTB/finemath | |
### Nesting and Fixed Points
The H V R [`nest`] command applies a function to a given argument repeatedly. It takes two values, `a' and `n', from the stack, where `n' must be an integer. It then applies the function nested `n' times; if the function is `f' and `n' is 3, the result is `f(f(f(a)))'. The number `n' may b... | HuggingFaceTB/finemath | |
Math Formula?
Uses of Differentiation
Increasing and Decreasing Functions
An increasing function is a function where: if x1 > x2, then f(x1) > f(x2) , so as x increases, f(x) increases. A decreasing function is a function which decreases as x increases. Of course, a function may be increasing in some places and decr... | HuggingFaceTB/finemath | |
Education
# What is an earth magnetic field?
The magnetic field is defined as a region or space in which there is an influence of a magnet. There are various types of magnets such as bar magnets, rod magnets, horseshoe magnet, ring magnet etc. Magnets have two poles. North pole is indicated by ‘N’ and South pole is i... | HuggingFaceTB/finemath | |
# How many grams are in 3 moles of FeCl3?
Contents
## How many grams are in 0.072 moles of FeCl3?
Mole Conversions
What is the mass of 1 mole of Barium acetate, Ba(C2H3O2)2? 255.3g
What is the mass of cyclohexanol, C6H11OH? 100g
How many moles are in 2.35g of H2O? 0.13moles
If we have 0.072mol of FeCl3 then how man... | HuggingFaceTB/finemath | |
GeekDad Puzzle Of The Week: A Very Shifty Situation Solution
# GeekDad Puzzle Of The Week: A Very Shifty Situation Solution
As I've heard, it's always nice to have a distraction. And, judging by the number of answers this week, quite a few of you enjoyed this cryptogram. A big thanks to everyone who turned in an answ... | HuggingFaceTB/finemath | |
# trigonometric non-identity
a <- (runif(2000) * (40-10) + 10) * pi/180
b <- (runif(2000) * (40-10) + 10) * pi/180
c <- (runif(2000) * (40-10) + 10) * pi/180
This chooses 2000 (pseudo-)random numbers in $(0,1)$ and then scatters them between 10 and 40, then multiplies by $\pi/180$, and does this three times indepen... | HuggingFaceTB/finemath | |
Convert cord to ∅ 1cm | cord to ∅ one centimeter circles
# area surface units conversion
## Amount: 1 cord (cord) of area Equals: 18,926.05 ∅ one centimeter circles (∅ 1cm) in area
Converting cord to ∅ one centimeter circles value in the area surface units scale.
TOGGLE : from ∅ one centimeter circles into cord... | HuggingFaceTB/finemath | |
# How do you solve 1/6-x/2=(x-5)/3?
Jan 27, 2017
see the entire solution process below:
#### Explanation:
First, multiple each side of the equation by $\textcolor{red}{6}$ (the lowest common denominator of all the fractions) to eliminate the fractions while keeping the equation balanced:
$\textcolor{red}{6} \left(... | HuggingFaceTB/finemath | |
## Invitation to Computer Science 8th Edition
Let's store the elements in reversed order in the sequence: $R_{1}, R_{2}, \ldots R_{k}$ After that, let's copy the already reversed list back into $N_{1}, N_{2}, \ldots N_{k}$ $\bullet$ Get the value of $k$ $\bullet$ Get the elements of the list $N_{1}, N_{2}, \ldots N_{k... | HuggingFaceTB/finemath | |
## Rate of return on investments formula
Return on investment (ROI) is a financial ratio used to calculate the benefit an investor will receive in relation to their investment cost. It is most commonly Free return on investment (ROI) calculator that returns total ROI rate as well as the formula can be used to compute... | HuggingFaceTB/finemath | |
Stitz-Zeager_College_Algebra_e-book
# The rst base 10 is often called the common base the
This preview shows page 1. Sign up to view the full content.
This is the end of the preview. Sign up to access the rest of the document.
Unformatted text preview: The proof of Theorem 5.6 is based on the definition of the princ... | HuggingFaceTB/finemath | |
# Statistics
posted by .
In an elementary school, 25% of children wear glasses. Suppose that a random sample of 64 children is selected. Find the mean number of children in the sample who wear glasses. Round your answer to the nearest integer.
• Statistics -
mean = np
n = sample size = 64
p = .25
I'll let you tak... | HuggingFaceTB/finemath | |
# “20-20” Reasoning Questions | Crack SBI Clerk 2018 Day-29
Dear Friends, SBI Clerk 2018 Notification has been released we hope you all have started your preparation. Here we have started New Series of Practice Materials specially for SBI Clerk 2018. Aspirants those who are preparing for the exams can use this “20-20”... | HuggingFaceTB/finemath | |
### Concepts of Mathematics (21-127) — Feedback on Homework 8
Homework 8 was due on Thursday 3rd April 2014. I graded Q2,3 and the grader graded Q1,4,5. All questions are marked out of 6.
Question 1. Most errors in this question came from people having forgotten or misunderstood how congruence classes are defined.
Q... | open-web-math/open-web-math | |
# Blog
## How is 3phase distributed?
Three-phase power can be defined as the common method of alternating current power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electric grids worldwide to transfer power.
A three-phase power circuit, also refe... | HuggingFaceTB/finemath | |
(13 votes, average: 4.69 out of 5)
Scaling factor in QAM
by on September 23, 2007
When QAM (Quadrature Amplitude Modulation) is used, typically one may find a scaling factor associated with the constellation mapping operation. It may be reasonably obvious that this scaling factor is for normalizing the average energ... | HuggingFaceTB/finemath | |
### Home > APCALC > Chapter 7 > Lesson 7.4.1 > Problem7-183
7-183.
Etube is tending to the orange trees on his lot. Unfortunately, the trees are becoming infected and dying. The rate at which the trees are being infected per month is given by $3\sqrt{N}$ where $N$ is the number of living trees.
1. If at $t = 0$ th... | HuggingFaceTB/finemath | |
# What is the resultant concentration when a 30*mL of a 2.0*mol*L^-1 are diluted to a new volume of 150*mL?
Dec 8, 2016
$\text{Concentration"="Moles of solute"/"Volume of solution}$
#### Explanation:
And we simply have to work the quotient:
(30xx10^-3*Lxx2.0*mol*L^-1)/(150xx10^-3L)=??mol*L^-1.
This is dimensional... | HuggingFaceTB/finemath | |
Technical Article
# Finding Statistical Relationships with Correlation Coefficients
September 30, 2020 by Robert Keim
## The Pearson and Spearman correlation coefficients are standard techniques for inferring causation by calculating the strength of a linear or monotonic relationship between two variables.
This ser... | HuggingFaceTB/finemath | |
# De Moivre’s Theorem – Formulas, Explanation, and Examples
De Moivre’s Theorem is an essential theorem when working with complex numbers. This theorem can help us easily find the powers and roots of complex numbers in polar form, so we must learn about De Moivre’s theorem.
De Moivre’s Theorem states that the power ... | HuggingFaceTB/finemath | |
# Convert Kilonewton to Short Ton (kn to shton)
In next fields, kindly type your value in the text box under title [ From: ] to convert from kilonewton to Short ton (kn to shton). As you type your value, the answer will be automatically calculated and displayed in the text box under title [ To: ].
From:
To:
Definitio... | HuggingFaceTB/finemath | |
### Home > MC1 > Chapter 8 > Lesson 8.4.2 > Problem8-117
8-117.
As you can see, in the figure above each bold rectangle represents 1, and each 1 is divided into three parts. If you count the thirds represented, you will find find the answer to part (a).
Try drawing a diagram as modeled in part (a). It may help to kn... | HuggingFaceTB/finemath | |
Tree Traversals
By | August 17, 2015
There are two kinds of traversal, Breadth First and Depth First.
In this post we will be discussing Depth First Traversals.
They are of 3 types:
1. Preorder
2. Inorder
3. Postorder
PreOrder Tree Traversal
1. If root is NULL then return.
2. Print the root node.
3. Call the recu... | HuggingFaceTB/finemath | |
### Prime number factorization
Hey everyone!
I was wondering if someone could help me fix two of my algorithms. I am trying to factorize semi-prime numbers by using a brute force method and a square root method.
The brute force method should start by multiplying all odd numbers between 1 and the semi-prime number. M... | HuggingFaceTB/finemath | |
# Mention any 4 rational numbers which are less than 5
• Last Updated : 05 Aug, 2021
We use numbers in our daily lives. A numeral is a common term used to describe them. Without numbers, we can’t count items, dates, times, money, or anything else. Sometimes these numbers are used for measuring, and other times they a... | HuggingFaceTB/finemath | |
###### Norm Prokup
Cornell University
PhD. in Mathematics
Norm was 4th at the 2004 USA Weightlifting Nationals! He still trains and competes occasionally, despite his busy schedule.
##### Thank you for watching the video.
To unlock all 5,300 videos, start your free trial.
# Families of Polar Curves: Circles, Card... | HuggingFaceTB/finemath | |
# How do we prove $\cos(\pi/5) - \cos(2\pi/5) = 0.5$ ?.
How do we prove $\cos(\pi/5) - \cos(2\pi/5) = 0.5$ without using a calculator.
Related question: how do we prove that $\cos(\pi/5)\cos(2\pi/5) = 0.25$, also without using a calculator
-
A related question: How to prove $\cos \frac{2\pi }{5}=\frac{-1+\sqrt{5}}{4... | HuggingFaceTB/finemath | |
## Preview
Multiplying equations is really easy because it's just simple equations with variables in them which are lowercase letters. So let's take the equation 5m=25 so the next thing you need to do is divide since it is the opposite of multiplication and you have to divide by 5 like this:
5m=25
5 5
Both of t... | HuggingFaceTB/finemath | |
This site is supported by donations to The OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A120671 Decimal expansion of arccos(1-8/(Pi^2)) / (2*Pi). 3
2, 1, 9, 6, 6, 7, 9, 0, 9, 7, 1, 0, 0, 5, 6, 6, 4, 1, 1, 8, 1, 6, 6, 1, 1, 9, 7, 5, 5, 0, 1, 4, 5, 1, 6, 4, 6, 0, 9, 3, 9, 4, ... | HuggingFaceTB/finemath | |
Chapter 9.3, Problem 1CP Mathematical Applications for the ...
12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Solutions
Chapter
Section Mathematical Applications for the ...
12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem
Find the average rate of change of f (... | HuggingFaceTB/finemath | |
代写数学课业 Dual Space代写 - 数学代写, 考试助攻
# 代写数学课业 Dual Space代写
2022-05-05 15:31 星期四 所属： 数学代写 浏览：194
## HW4 – Dual Space, Determinant, Rotations
### Remarks: 代写数学课业
A) Definition is just a definition, there is no need to justify or explain it.
B) Answers to questions with proofs should be written in the followingformat... | HuggingFaceTB/finemath | |
Purchase Solution
# market demand and asymmetric cost functions
Not what you're looking for?
---
1. Consider the following market demand and asymmetric cost functions for the airplane production industry.
Market Demand is: P=200- (qA + qB)
Cost Function for Boeing: C(qB) = 40 qB
Cost Function for Airbus: C(qA) = 30... | HuggingFaceTB/finemath | |
# Video: SAT Practice Test 1 • Section 3 • Question 13
In the 𝑥𝑦-plane, an isosceles triangle has two vertices on the 𝑥-axis and one vertex on the 𝑦-axis at (0, 8). The perimeter of the triangle is 32 units. Which of the following could be another vertex of the triangle? [A] (0, 6) [B] (8, 0) [C] (0, −8) [D] (−6, ... | HuggingFaceTB/finemath | |
SSC CHSL 2018 NEWS
NATIONAL LEVEL ONLINE/OFFLINE TEST
# SSC CHSL 2018 Answer Key, Question Paper, Analysis (March 14-28)
Last Updated - April 02, 2018
SSC CHSL (Staff Selection Commission Combined Higher Secondary Level) tier was over. The final exam for tier 1 was conducted on the 26th March 2018. The Results are ... | HuggingFaceTB/finemath | |
Education.com
Try
Brainzy
Try
Plus
# Tip #6 to Get a Top ACT Math Score
By McGraw-Hill Professional
Updated on Sep 7, 2011
Most ACTs have one question involving parallel lines. In math class, learning about parallel lines might have seemed pretty tricky—alternate interior angles, corresponding angles, same-side inte... | HuggingFaceTB/finemath | |
# A girl scout troop sells 62 tickets to their mother and daughter dinner, for a total of \$216.If the tickets cost \$4.00 for mothers and \$3.00 for daughters how many of each ticket did they sell?
Ok so you need 2 equations. I like to use variables that go with the problem
Ok so the first equation is the quantity eq... | HuggingFaceTB/finemath | |
## Basic Mathematics-1, Question Paper of BSC IT 1st Semester,Download Previous Years Question Paper 5
• Tuesday, December 08, 2015
• • ,
• No comments
Roll No …………….
Total No. of Questions :07
B.Sc.(IT) (Sem.-1)
BASIC MATHEMATICS-1
Subject Code : BS -103
Paper ID : [B0402]
Time :03 ... | HuggingFaceTB/finemath | |
Solving a challenging PSLE Maths problem using the model approach (1)
QN: A farmer has some chickens and ducks. If he sells 2 chickens and 3 ducks every day, there will be 50 chickens left when all the ducks have been sold. If he sells 3 chickens and 2 ducks every day, there will be 25 chickens left when all the ducks... | HuggingFaceTB/finemath | |
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Main content
### Course: AP®︎/College Calculus AB>Unit 2
Lesson 1: Defining average and instantan... | HuggingFaceTB/finemath | |
#### A Math Forum Project
ESCOT Problem of the Week: Archive of Problems, Submissions, & Commentary
Student Version
### Marabyn - posted May 20, 2001
Please keep in mind that this is a research project, and there may sometimes be glitches with the interactive software. Please let us know of any problems you encoun... | HuggingFaceTB/finemath | |
# Hands-on ActivityNew Perspectives: Two-Axis Rotations
### Quick Look
Time Required: 1 hour
Expendable Cost/Group: US \$1.20
Group Size: 2
Activity Dependency:
Subject Areas: Geometry, Problem Solving
### Summary
Students learn about two-axis rotations, and specifically how to rotate objects both physically an... | HuggingFaceTB/finemath | |
# Week 7 10-2
Picture retake day is Tuesday.
All Book Orders are due by Wednesday. Please use code P72XY for online ordering.
Yankee Candle fundraiser goes from 10-2 through 10-16.
Math:
Understand a fraction with a > 1 as a sum of fractions 1 . a. Understand addition and subtraction of fractions as joining and sep... | HuggingFaceTB/finemath | |
# Elementary cellular automaton
In mathematics and computability theory, an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and 1) and the rule to determine the state of a cell in the next generation depends only on the current state of the cell and ... | HuggingFaceTB/finemath | |
# Free Addition with Regrouping Lesson Plan Using Base Ten Blocks
Are you teaching addition with regrouping in your 2nd grade classroom? This is one of the more difficult math concepts for students to master. It can also be challenging to teach. However, using base ten blocks can be a helpful visual tool to make the c... | HuggingFaceTB/finemath | |
## What does BODMAS stand for?
The BODMAS acronym stands for brackets, orders, division, multiplication, addition, subtraction.
It is sometimes known as BIDMAS (with ‘Indices’ used instead of ‘Orders’) or the PEMDAS rule in America (with ‘Parenthesis’ and ‘Exponents’).
## BODMAS rule
This mathematical rule dictates... | HuggingFaceTB/finemath | |
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# The length, breadth and height of a cuboid are in the ratio 6 : 5 : 3. If its total surface area is 504 cm^(2), find its dimensions. Also find the volume of the cuboid.
Step by step solution by experts to help you in doubt clearance &... | HuggingFaceTB/finemath | |
# What is the most efficient way to calculate the least common multiple of two integers?
What is the most efficient way to calculate the least common multiple of two integers?
I just came up with this, but it definitely leaves something to be desired.
``````int n=7, m=4, n1=n, m1=m;
while( m1 != n1 ){
if( m1 > n1 )... | HuggingFaceTB/finemath | |
# Convolution
Last updated
In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions (f and g) that produces a third function (${\displaystyle f*g}$) that expresses how the shape of one is modified by the other. The term convolution refers to both the result functio... | open-web-math/open-web-math | |
Metamath Proof Explorer < Previous Next > Nearby theorems Mirrors > Home > MPE Home > Th. List > hashmap Structured version Visualization version GIF version
Theorem hashmap 13795
Description: The size of the set exponential of two finite sets is the exponential of their sizes. (This is the original mot... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with smartphone similar to Got It:
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### There are 72 results
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### Number Daisy
##### Stage: 3 Challenge Level:
Can you find six numbers to go in the Daisy f... | HuggingFaceTB/finemath | |
# UVa 10213
## Summary
Count the maximum number of regions as defined by the problem statement.
## Explanation
Any proper strategy for choosing the points should ensure that no three lines intersect. Consider a line that goes through a region of the ellipse without intersecting any other line. It adds 1 to the numb... | HuggingFaceTB/finemath | |
# Dedekind cut This article/section deals with mathematical concepts appropriate for a student in mid to late high school.
A Dedekind cut is a construction that produces the real numbers from the rational numbers. Dedekind cuts are named after the German mathematician Richard Dedekind (1831-1916).
The problem of the... | HuggingFaceTB/finemath | |
# physics
posted by .
Assume that the Earth is spherical and recall that latitudes range from 0° at the Equator to 90° N at the North Pole. Consider Dubuque, Iowa (42.50° N latitude), and Guatemala City (14.62° N latitude). The two cities lie on approximately the same longitude. Do not neglect the curvature of the Ea... | HuggingFaceTB/finemath | |
# How do I write a repeating decimal as an infinite geometric series?
Nov 14, 2015
$0. {b}_{1} {b}_{2.} . . {b}_{j} \overline{{a}_{1} {a}_{2.} . . {a}_{k}} =$
$0. {b}_{1} {b}_{2.} . . {b}_{j} + {\sum}_{n = 0}^{\infty} \left({10}^{-} j \cdot 0. {a}_{1} {a}_{2.} . . {a}_{k}\right) {\left({10}^{-} k\right)}^{n}$
#### E... | HuggingFaceTB/finemath | |
# Help with first integral of PDE
bndnchrs
Hey guys, I'm having a little difficulty with a pde I'm trying to solve. It boils down to solving for a first integral. I don't want the answer, but I'd be glad to get a little help. We have the system:
$$\frac{dx}{x^2} = \frac{dy}{y^2} = \frac{dz}{xy(z^2 + 1)}$$
We can use... | HuggingFaceTB/finemath | |
# How Many Inches Is 70.5 Cm
To find out how many inches is 70.5 centimeters, the first thing you need to do is measure the length in centimeters. Then, convert it to inches using the formula below. Then, you can determine the length in feet if you need to. Then, you can use the conversion to convert inches to centime... | HuggingFaceTB/finemath | |
It is currently 21 Nov 2017, 11:02
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### How to implement Simple Linear Regression model using R?
###### Description
To implement the simple linear regression model in R programming.
#### Range or ... | HuggingFaceTB/finemath | |
# $\lim$ vs $\liminf$ and $\limsup$ in the proof convergence in probability implies convergence in distribution
I am studying the various types of convergence for random variables, in particular how convergence in probability implies convergence in distribution.
Let $$(X_n)_n$$ be a sequence of random variables and l... | open-web-math/open-web-math | |
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### Research Papers
J Biomech Eng. 2010;132(8):081001-081001-8. doi:10.1115/1.4001027.
A millimeter-for-millimeter relation between an increase in length of an anterior cruciate ligament graft construct and an increase in anterior laxity has been demonstrated in multiple in vitro studies. Based on t... | open-web-math/open-web-math | |
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# Let R be the relation defined on the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(a, b) : both a and b are either odd or even}. Show that R is an equivalence relation. Further, show that all the elements of the subset {1, 3, 5, 7} are related to each other and all the elemen... | HuggingFaceTB/finemath | |
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# Identify 5 Number Summary From Box Plots Worksheet
## 0 problems
Box plots also known as box and whisker plot are used to show the 5 number summary of a given set of data. The minimum, first quartile, median, third quartile, and maximum of a given set of data is known as the 5 num... | HuggingFaceTB/finemath | |
# Buck Drivers??
I only ever used fet drivers. Can someone give me the run down on buck drivers? How do increase/ decrease current?
Lagman put together this post to explain the differing driver types.
Thank you. That helped understand them. Still confused on how increase and decrease amps on these things though. May... | HuggingFaceTB/finemath | |
# [SOLVED] Hyperbola
• Apr 16th 2010, 05:50 PM
UltraGirl
[SOLVED] Hyperbola
Hello.
For this question - Show how to determine a point P of the hyperbola xy = c^2 such that the asymptotes cut off a segment of length 6c in the tangent at P,
I've equated 6c^2= sqrt[a^2+b^2], with the x intercept being (a,0) and the y in... | HuggingFaceTB/finemath | |
If A is a real symmetric positive definite matrix, then it defines an inner product on R^n. I want to run a factor analysis in SPSS for Windows. A square matrix is positive definite if pre-multiplying and post-multiplying it by the same vector always gives a positive number as a result, independently of how we choose t... | HuggingFaceTB/finemath | |
# Divisors of 7168
## Divisors of 7168
The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
7168 is multiplo of 1
7168 is multiplo of 2
7168 is multiplo of 4
7168 is multiplo of 7
7168 is multiplo of 8
7168 is multiplo of 14
7168 is multiplo of 16
... | HuggingFaceTB/finemath | |
# Number of distinct integers obtained by lcm(X, N)/X
Given a number , find the number of distinct integers obtained by lcm(X, N)/X where X can be any positive number.
Examples:
```Input: N = 2
Output: 2
if X is 1, then lcm(1, 2)/1 is 2/1=2.
if X is 2, then lcm(2, 2)/2 is 2/2=1.
For any X greater than 2 we cannot
ob... | HuggingFaceTB/finemath | |
# Matrix
A rectangular array of mn elements aij into m rows and n columns, where the elements aij belongs to field F, is said to be a matrix of order m × n (or an m × n matrix) over the field F
Definition of a Matrix: A matrix is a rectangular arrangement or array of numbers or functions, in the form of horizontal an... | HuggingFaceTB/finemath | |
# How To Find Radius Of A Circle With Two Points
How To Find Radius Of A Circle With Two Points. The sketch explains the problem more. To graph a circle, start by finding the center, which is represented as a and b in the equation for the circle.
Radius of a circle = diameter/2 or. Circle's center is located at: This... | HuggingFaceTB/finemath | |
# Math
By default, your numerical entry is scored as correct if it is within 1% of the correct answer. A rule of thumb is always to enter at least 3 digits for numerical questions.
If the correct answer is 7.48809, which of the following entries would be counted as correct? That is, which entries are within WebAssign'... | HuggingFaceTB/finemath | |
## Doing Tests of Assumptions
Qn1. Download the file designtime.csv from the course materials. This file describes a study in which designers used Adobe Illustrator or Adobe InDesign to create a benchmark set of classic children’s illustrations. The amount of time they took was recorded, in minutes. How many subjects ... | HuggingFaceTB/finemath | |
# GMAT Quant: Arithmetic with Inequalities
Here are four GMAT Data Sufficiency questions involving inequalities.
Full solutions will come at the end of this article.
## The arithmetic of equations: a review
First of all, let’s review what should be more familiar — the arithmetic of equations. Suppose A = B and P ... | HuggingFaceTB/finemath | |
# CIE Mathematics Paper-1: Specimen Questions 124 - 126 of 175
## Question number: 124
One Liner Question▾
### Write in Brief
Write the following in order, with the highest at the first.
### Explanation
Here,
• and
• So, sequence from largest to smallest will be: .
## Question number: 125
### Write in Short
T... | HuggingFaceTB/finemath | |
Defining Equivalence relations
So I am not really comfortable with equivalence relations, so this example from Wikipedia gives me trouble. Here is what it says:
Let the set $\{a,b,c\}$ have the equivalence relation $\{(a,a),(b,b),(c,c),(b,c),(c,b)\}$.
So it can also be $\lbrace(a,a), (b,b), (c,c) \rbrace$ if I so ch... | HuggingFaceTB/finemath | |
# Series solution for ode by undetermined coefficients
1. Nov 5, 2009
### John 123
1. The problem statement, all variables and given/known data
Obtain the Taylor series solution up to and including order 3 of the following non linear ode
$$y'=x^2+\sin y,y(0)=\frac{\pi}{2}$$
2. Relevant equations
After substituting ... | HuggingFaceTB/finemath | |
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# Finv: Excel Formulae Explained
## Key Takeaway:
• FINV is a statistical function in Microsoft Excel used to calculate the inverse of the F-distribution for a given probability.
• The syntax and usage of the FINV formula require users to input the desired probability level, as well as the degrees of... | HuggingFaceTB/finemath | |
# Download Topic 5 , 10-11 New Selected Problems 2 - Solutions
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```Topic 5 , 10-11 New Selected Problems 2 -... | HuggingFaceTB/finemath |
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