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# Understanding Tee Networks
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The commonality of the 90-degree tee network is in some part due to the simplicity of its mathematics. The three equations that quantify the reactances in the three legs of the network are as follows:
In these equations, the subscripts 1, 2, and 3 correspond respectiv... | HuggingFaceTB/finemath | |
## Using Area to Prove the Arithmetic-Geometric Mean Inequality
If we have real numbers $a$ and $b$, we call $\frac{a + b}{2}$ the arithmetic mean (AM) and $\sqrt{ab}$ the geometric mean (GM) of $a$ and $b$. In this post, we are going to examine the relationship of these two means.
To start off, let’s have a few exa... | HuggingFaceTB/finemath | |
kmmiles.com
Search
# 1129.4 km in miles
## Result
1129.4 km equals 701.3574 miles
You can also convert 1129.4 km to mph.
## Conversion formula
Multiply the amount of km by the conversion factor to get the result in miles:
1129.4 km × 0.621 = 701.3574 mi
## How to convert 1129.4 km to miles?
The conversion fac... | HuggingFaceTB/finemath | |
Home » 30 Cm Is How Many Mm? Update
# 30 Cm Is How Many Mm? Update
Let’s discuss the question: 30 cm is how many mm. We summarize all relevant answers in section Q&A of website Activegaliano.org in category: Blog Marketing. See more related questions in the comments below.
## How do you convert 30cm to mm?
Since a ... | HuggingFaceTB/finemath | |
# Set of functions
stupidmonkey
## Homework Statement
Hello, this is not a problem but I want some clarification with the following paragraph (starting my linear algebra course!):
Let S be any nonempty set and F be any field*, and let F(S,F) denote the
set of all functions from S to F. Two functions f and g in F(S,... | HuggingFaceTB/finemath | |
# Potential/kinetic/mechanical energy
1. Nov 4, 2015
### J827
1. The problem statement, all variables and given/known data
A toy rocket that weighs 10 N blasts straight up from ground level with an initial kinetic energy of 40J. At the exact top of its trajectory, its total mechanical energy is 140J. To what vertica... | HuggingFaceTB/finemath | |
Posted by Peter on 21st November 2011
Year 6 maths worksheet: ordering decimals
Ordering decimals can be pretty tricky. At first glance we might say that 0.509 is bigger than 0.51 because there are more digits, but it doesn’t work like that! Have a look at my step by step method of ordering decimals.
Step 1: Put the... | HuggingFaceTB/finemath | |
# CAT Data Interpretation Questions with Solutions: 08/05/2017
Updated : May 8, 2017, 16:30
By : Asakti
CAT 2017 is expected to comprise 100 questions: 32-34 of them are expected to appear in the Data Interpretation Section. Data Interpretationsection may consist of one or more of the following types of questions:
•... | HuggingFaceTB/finemath | |
# AFCAT Exam- Short Tricks to solve Clock related Questions
Updated : Jul 17, 2017, 13:00
By : Vineet Vijay
The Reasoning section of every competitive exam includes questions from the topic “Clock”. This topic is considered to be quiet important and questions from this section bit easier . We are providing you with B... | HuggingFaceTB/finemath | |
# Simple Intregation
## Recommended Posts
I know that the intregation of $\frac{sinx}{cos^2x}$ is $secx$.
But I'm not sure how to get to the answer. I started off by using the trigonometric identity: $cos^2x + sin^2x = 1$.
Therefore, $\frac{sinx}{1-sin^2x}$. Now what?
##### Share on other sites
$\int \frac{sinx}{... | open-web-math/open-web-math | |
NCERT Solutions for Exercise 5.4 Class 12 Maths Chapter 5 - Continuity and Differentiability
NCERT Solutions for Exercise 5.4 Class 12 Maths Chapter 5 - Continuity and Differentiability
Edited By Ramraj Saini | Updated on Dec 03, 2023 05:00 PM IST | #CBSE Class 12th
NCERT Solutions For Class 12 Maths Chapter 5 Exerc... | HuggingFaceTB/finemath | |
# Range of this function
$$f(x) = \frac{1 - x}{\sqrt{5 + 7x - x^{2}}}$$
I know that the range of that function is $$(-\infty, 0) U (0, +\infty)$$
But how do I get it? I'm having difficulties in isolating x. Can you explain it to me? Thank you. :)
## Answers and Replies
HallsofIvy
Science Advisor
Homework Helper
Yo... | HuggingFaceTB/finemath | |
# Homework Help: [Complex analysis] Coefficients of Laurent series
1. Apr 10, 2012
### mick25
1. The problem statement, all variables and given/known data
I have some past exam questions that I am confused with
2. Relevant equations
$a_{n} = \frac{1}{2\pi i} \oint_\gamma \frac{f(z)}{z-a}\, dz$
3. The attempt at a... | HuggingFaceTB/finemath | |
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# How To Simplify Imaginary Numbers
By Kathleen Cantor, 03 Jul 2020
An imaginary number is essentially a complex number - or two numbers added together. The difference is that an imaginary number is the product of a real number, say b, and an imaginary number, j. The imagina... | HuggingFaceTB/finemath | |
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2022/2023
# Mathematics 2
Code Completion Credits Range Language
01MAT2 Z 4 6 Czech
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:
The course, which is the continuation of Mathematics 1, is devoted to the integration techniques, improper Riemann int... | HuggingFaceTB/finemath | |
# Designing circuits
Robert P. Webber and Don Blaheta, Longwood University
Why are we working on this? The simplest truth tables correspond to individual gates, and as the tables start to get more complex, we link together multiple gates into circuits. As they increase in complexity, trial-and-error becomes difficult ... | HuggingFaceTB/finemath | |
Q. 21
# Draw a rough sket
Answer :
Given the boundaries of the area to be found are,
• the first parabola, y2 = 4x ---(1)
• the second parabola, x2 = 4y ---- (2)
From the equation, of the first parabola, y2 = 4x
• the vertex at (0,0) i.e. the origin
• Symmetric about the x-axis, as it has the even power of y.
... | HuggingFaceTB/finemath | |
# SOLUTION: Find the equation of the line through (4,3) perpendicular to the line 3x + y = 7
Algebra -> Algebra -> Equations -> SOLUTION: Find the equation of the line through (4,3) perpendicular to the line 3x + y = 7 Log On
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!... | HuggingFaceTB/finemath | |
# A solid disk with a radius of 18 m and mass of 6 kg is rotating on a frictionless surface. If 480 W of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at 3 Hz?
$\text{25.5 Nm}$
$\text{Power = Torque × Angular speed}$
$\text{Torque" = "Power"/"Angular speed" = "... | HuggingFaceTB/finemath | |
References of "Paper published in a journal" in Complete repository Arts & humanities Archaeology Art & art history Classical & oriental studies History Languages & linguistics Literature Performing arts Philosophy & ethics Religion & theology Multidisciplinary, general & others Business & econ... | open-web-math/open-web-math | |
Name ___________________________________Date_____
biologycorner.com
# Lab: How Much Weight Can a Structure Hold?
On July 17, 1981, approximately 2,000 people had gathered in the atrium to participate in and watch a dance contest at the Hyatt Regency Crown Center in Kansas City, Missouri. At 7:05 PM, the walkways on... | HuggingFaceTB/finemath | |
## 2. Visualizing Qualitative Data
Once data has been collected, what you usually have is simply a long list of the raw data. It is very difficult, if not impossible, to determine any patterns or underlying “themes” from a list of data, especially if the data set has more than 20 or so elements. There are three main m... | HuggingFaceTB/finemath | |
# Thread: A small doubt
1. ## A small doubt
Is there any way to find sq.root of a fourth degree polynomial?
In this question, x^4 -2x^3 +3x^2 -2x +1 ,how can we find. Sq.root?
Sent from my iPad using Tapatalk
2. ## Re: A small doubt
I would write:
$\displaystyle x^4-2x^3+3x^2-2x+1=(x^2+ax+b)^2=x^4+2ax^3+(a^2+2b)x... | HuggingFaceTB/finemath | |
# Extra Practice Related Ratesap Calculus
26 ).Extra Credit for THQ4.Find the rate at which the surface area of the water changes when the water is 10 ft high if the cone leaks water at a rate of 10 (ft^3/min ). 27) If the water level is decreasing at a rate of 3 in./min when the depth of the water is 8 ft, determine ... | HuggingFaceTB/finemath | |
502 views
A college professor gives several quizzes during the semester, with negative marking. He has become bored of the usual "Best $M$ out of $N$ quizzes" formula to award marks for internal assessment. Instead, each student will be evaluated based on the sum of the best contiguous segment (i.e., no gaps) of marks... | HuggingFaceTB/finemath | |
Home » Posts tagged 'buoyant force'
# Tag Archives: buoyant force
## Buoyant force
What is buoyant force? I’m unable to understand practically from book. please give vast and practical explanation.. (Raj asked)
Whenever a body is immersed in a fluid, say water, it experiences an upward force acting on it. The upwar... | HuggingFaceTB/finemath | |
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### Fundamentals Of Differential Equations And Boundary Value Problems
Book edition 9th
Author(s) R. Kent Nagle, Edward B. Saff, Arthur David S... | HuggingFaceTB/finemath | |
# 3.2 Review of Probability and Statistics
## 3.2.5 The Central Limit Theorem
In the first four units, we have introduced the concept of a random variable, the basic axioms of probability and probability distribution functions. We have seen that just like variables can be characterized by their value, random variable... | HuggingFaceTB/finemath | |
It is also used to control the motion of objects such as control the switching of relay. CONTACT College Physics. The magnetic field of all the turns of wire passes through the center of the coil, creating a strong magnetic field there. This would be called a dipole (2 poles, a North magnetic pole at one end and a Sout... | open-web-math/open-web-math | |
This week's book giveaway is in the OO, Patterns, UML and Refactoring forum.We're giving away four copies of Refactoring for Software Design Smells: Managing Technical Debt and have Girish Suryanarayana, Ganesh Samarthyam & Tushar Sharma on-line!See this thread for details.
Big Moose Saloon
Search | Java FAQ | Recent ... | HuggingFaceTB/finemath | |
During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.
# 2016 AMC 10B Problems/Problem 25
## Problem
Let $f(x)=\sum_{k=2}^{10}(\lfloor kx \rfloor -k \lfloor x \rfloor)$, where $\lfloor r \rfloor$ denotes the greatest integer less than or equal to $r$. How many distinct values does $f(x)$ assum... | HuggingFaceTB/finemath | |
Pie Chart - Drawing
Chapter 5 Class 8 Data Handling
Concept wise
Suppose we are given data like
Company Percentage of people Samsung 40% Apple 25% Vivo 20% Mi 15%
We convert
Percentage → Angles
We know that
Angle at center = 360°
So, we convert So, our table becomes.
Company Percentage of people Fraction Ang... | HuggingFaceTB/finemath | |
> > > Percent Error Formula
# Percent Error Formula
The percentage error value is very much important under experimental calculations. It allows us to see how far apart our estimates and the exact value were, in terms of a percentage. Thus we need to compute percentage error in many a situation. In this topic, we wil... | HuggingFaceTB/finemath | |
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www.reference.com/article/graph-equation-3a22e6ea4e331dd4
To graph a math equation, acquire some graphing paper, draw x and y axes, and decide whether the equation is linear or non-linear. Approach the problem by finding the slope of the linear equation or using a table for a non-linear one... | HuggingFaceTB/finemath | |
# Another way to look at the Soccer Pythagorean
I had been engaged in an email exchange with a reader very recently about my soccer Pythagorean which required me to revisit the expression. I came to look at the Pythagorean in a slightly different way, but one that improved my own understanding of it. I’d like to sha... | HuggingFaceTB/finemath | |
### 3.1206 $$\int (b d+2 c d x) (a+b x+c x^2)^{3/2} \, dx$$
Optimal. Leaf size=19 $\frac{2}{5} d \left (a+b x+c x^2\right )^{5/2}$
[Out]
(2*d*(a + b*x + c*x^2)^(5/2))/5
________________________________________________________________________________________
Rubi [A] time = 0.0066193, antiderivative size = 19, nor... | HuggingFaceTB/finemath | |
## Welcome to H3 Maths
Blog Support for Growing Mathematicians
June23
There are some quite complicated and unnecessary complexities with Similar Triangles for some students. Let’s try and keep it simple. Look at the two triangles below. They look similar but, first, what do we mean by “Similar”? Similar means that o... | HuggingFaceTB/finemath | |
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125_201+Homework-2+soln
125_201+Homework-2+soln - 125:201 Introduction to...
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125:201 Introduction to Biomedical Engineering Biomechanics, Homework #2 Due Monday October 25 th Problem 1 A) Find the j... | HuggingFaceTB/finemath | |
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# Theory of computation Lec3 dfa
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# Shortest path on sparse graphs
This post is an introduction to SciPy sparse graphs. It will present a variation of a known problem followed by a simple solution and implementation.
## Problem background
We are given a directed acyclic graph (DAG) with dynamic edge costs. The graph is large in regard to nodes, it i... | HuggingFaceTB/finemath | |
The problem of 42 — at least as it relates to whether the number could be considered the sum of three cubes — has finally been solved. The question of whether every number under 100 could be expressed in this fashion has been a long-standing puzzle in the world of mathematics. Now, two mathematicians, Andrew Sutherland... | HuggingFaceTB/finemath | |
# Metamath Proof Explorer
## Theorem mbfmulc2re
Description: Multiplication by a constant preserves measurability. (Contributed by Mario Carneiro, 15-Aug-2014)
Ref Expression
Hypotheses mbfmulc2re.1
`|- ( ph -> F e. MblFn )`
mbfmulc2re.2
`|- ( ph -> B e. RR )`
mbfmulc2re.3
`|- ( ph -> F : A --> CC )`
Assertion mbfmu... | HuggingFaceTB/finemath | |
# Mixed Number Division Calculator
Mixed Fraction A
Mixed Fraction B
A/B = 43/14
GENERATE WORK
## Mixed Number Division - Work with steps
Input Data :
Mixed Fraction A = 7 1/6
Mixed Fraction B = 2 1/3
Objective :
Find the resultant fraction when dividing mixed number by another.
Solution :
7 1/6\divide7 1/6 = ?
... | HuggingFaceTB/finemath | |
# 698.Partition-to-K-Equal-Sum-Subsets
## 题目地址
https://leetcode.com/problems/partition-to-k-equal-sum-subsets/
## 题目描述
``````Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal.
Example 1:
Input: nums = [4, 3, 2... | HuggingFaceTB/finemath | |
# CONVERTING CUSTOMARY UNITS WORD PROBLEMS WORKSHEET
Problem 1 :
A standard elevator in a mid rise building can hold a maximum weight of about 1.5 tons. Assuming an average adult weight of 150 pounds, what is the maximum number of adults who could safely ride the elevator ?
Problem 2 :
David prepares 60 pints of ju... | HuggingFaceTB/finemath | |
# What is 120% of 266?
## 120 percent of 266 is equal to 319.2
%
120% of 266 equal to 319.2
Calculation steps:
( 120 ÷ 100 ) x 266 = 319.2
### Calculate 120 Percent of 266?
• F
Formula
(120 ÷ 100) x 266 = 319.2
• 1
Percent to decimal
120% to decimal is 120 ÷ 100 = 1.2
• 2
Multiply decimal with the other n... | HuggingFaceTB/finemath | |
# Expanded Notation Method for Division
Instructor: Nola Bridgens
Nola has taught elementary school and tutored for four years. She has a bachelor's degree in Elementary Education, a master's degree in Marketing, and is a certified teacher.
In this lesson, you will learn the pattern of dividing, multiplying, and sub... | HuggingFaceTB/finemath | |
# Singular Points
• Jan 21st 2010, 03:50 AM
kaboose786
Singular Points
Need help with solving this question i have no idea how to even start so any help would be appreciated thanks
http://i47.tinypic.com/2rw3w1y.jpg
• Jan 21st 2010, 04:51 AM
shawsend
Why not just start by solving the DE:
$\displaystyle y'\pm\frac{2}... | HuggingFaceTB/finemath | |
ECO220 – Quantitative Methods in Economics
Problem Set 2
Y =
0不默认
Pr（Y = 1）= Pr（默认）=θ0
1.写下大小为n的样本的似然函数。找到最大的
2.解释为什么最大似然估计是随机的（事前）。使用
3.解释估计量的无偏性和一致性的概念。显示是否
4.解释贝叶斯方法和最大似然方法之间的基本差异，以推断默认概率或未知数
5.为参数θ0提供一个扩散优先级的表达式。解释为什么你
2个
6.假设θ0〜Beta（α0，β0），即对于未知的默认概率θ0，我们选择Beta分布作为先验分布。证明Beta分布是似然函数L的共轭先验
y | ... | HuggingFaceTB/finemath | |
# Finding a non-zero vector in Col A
Definiton: The column space of an $m \times n$ matrix $A$, written as $\operatorname{Col} A$, is the set of all linear combinations of the columns of $A$. If $A = [ a_1 \ldots a_n ]$, then $\operatorname{Col} A = \operatorname{Span}\{a_1,\ldots,a_n\}$.
$$A= \begin{bmatrix} 2 & 4 &... | HuggingFaceTB/finemath | |
So many percent more
Updated with an answer... see below
I'm continuing to catch up after vacation, and spotted a good discussion about problems with percent, at MathNotations. (via Let's Play Math blog).
Here's a problem to solve, first of all:
There are 20% more girls than boys in the senior class.
What percent o... | HuggingFaceTB/finemath | |
0
# What is the highest common factor of 84 154 182?
Okay, you have 84, 154 and 182. We could start by taking out a 2 out of all the numbers. 42, 77, and 91. Here, it is obvious to see that 7 is the common factor. 6, 11, 13. The answer is 14 because 2*7=14.
The highest common factor of the numbers 84, 154 and 182... | HuggingFaceTB/finemath | |
# vector Q AND A ```MATHEMATICS
II PUC
VECTOR ALGEBRA
I
One Mark Question
1) Find the unit vector in the direction of 2i + 3j + k.
r
Let a = 2i + 3j + k
r
a = 2 2 + 32 + 12 =
r
rˆ a 2i + 3 j + k
\a = r =
a
14
4 + 9 + 1 = 14
r
2
3
1
\aˆ =
i+
j+
k
14
14
14
r
r
r r
r r
2) Let a = i + 2j & b = 2i + j. If a = b . Are th... | HuggingFaceTB/finemath | |
It is currently 21 Oct 2017, 00:07
### 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 | |
# Online Math Homework Help Related With Straight Line
There are certain questions related with the topic straight line where students get homework. These questions are regularly asked from the students and they get stuck in them and try to ask from online tutoring. As an online tutor many questions are regularly aske... | HuggingFaceTB/finemath | |
# Calculating the pH of an acid using Ka and acid concentration
By | December 23, 2013
# Calculate the pH of 500ml of 1M hydrazoic acid. Ka=2.5x10^-5?
Calculating the pH isn't too tough, and I'm happy to help with any questions you may have. Just comment below. Start with the dissociation equation, HA <=> [H+][A-], ... | HuggingFaceTB/finemath | |
We come across different mathematical operations while dealing with numbers. We say that basic four operations are as follows: Addition, Subtraction, Multiplication and division.
By Addition we mean to find the sum of given two numbers. Now let us look at inverse operation of addition. Subtraction is the inverse operat... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Investigations similar to Eggs in Baskets:
Filter by: Content type:
Stage:
Challenge level:
### Polo Square
##### Stage: 2 Challenge Level:
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
### The Pied Pipe... | HuggingFaceTB/finemath | |
## Triangle in a triangle problem This question or one very similar cropped up in a revision exercise today. There are three triangles in the figure, ABC is a large right angled triangle, ABD is a smaller right angled triangle and DBC is an isosceles triangle. The solution is along the lines that angle ADB must be 65 d... | HuggingFaceTB/finemath | |
# 28.3 cm to inch converter
## FAQs on 28.3 cm to inch
### How many inches in a cm?
If you want to convert 28.3 centimeters to the equivalent of inches, first, you must determine how many inches one cm represents.
Here’s what I can be specific: one centimeter is equivalent to 0.3937 inches.
### How do you convert ... | HuggingFaceTB/finemath | |
Problem evaluating $C^{-1}M^\dagger C$
How can I show the following?
$$\overline{\psi_L}M^\dagger (\psi_L)^c=\overline{\psi_L}CM^\dagger\overline{\psi_L}^T$$
where $\psi^c=C\overline{\psi}^T$ and $C=i\gamma^2\gamma^0=-C^T=-C^\dagger=-C^{-1}$. In particular, what is $C^{-1}M^\dagger C$? I'm stuck at this point. If I ... | HuggingFaceTB/finemath | |
Question
The time needed to complete a final examination in a particular college course is normally distributed...
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions.
(... | HuggingFaceTB/finemath | |
# For the matrix, verify that
Question:
For the matrix $A=\left[\begin{array}{ll}1 & 5 \\ 6 & 7\end{array}\right]$, verify that
(i) $\left(A+A^{\prime}\right)$ is a symmetric matrix
(ii) $\left(A-A^{\prime}\right)$ is a skew symmetric matrix
Solution:
$A^{\prime}=\left[\begin{array}{ll}1 & 6 \\ 5 & 7\end{array}\r... | HuggingFaceTB/finemath | |
# Magnet Coil Turns and wire calculation
## Main Question or Discussion Point
Hello Friends
I am working on home made electromagnet and I have only volt & Ohms details like 12Volt DC, 24Volt DC & 240V AC and ohms is 80Ω, 100Ω & 120Ω for all for example 12VDC 80 ohms coil, 12VDC 100ohms,24VDC 80Ohms coil...etc.
now ... | HuggingFaceTB/finemath | |
Share
# For the Curve Y = 5x – 2x3, If X Increases at the Rate of 2 Units/Sec, Then Find the Rate of Change of the Slope of the Curve When X = 3 - CBSE (Science) Class 12 - Mathematics
ConceptProcedure to Form a Differential Equation that Will Represent a Given Family of Curves
#### Question
For the curve y = 5x – ... | HuggingFaceTB/finemath | |
# Mhz to Hz
For change from Mhz to Hz Just enter in our frequency converter the amount of Megahertz you want to convert to Hertz and click the calculate button.
If you wish, you can also use the calculator to perform the reverse conversion, that is, go from Hertz to Megahertz.
## How to convert from Mhz to Hz Before... | HuggingFaceTB/finemath | |
# Number 1141
### Properties of number 1141
Cross Sum:
Factorization:
7 * 163
Divisors:
1, 7, 163, 1141
Count of divisors:
Sum of divisors:
Prime number?
No
Fibonacci number?
No
Bell Number?
No
Catalan Number?
No
Base 2 (Binary):
Base 3 (Ternary):
Base 4 (Quaternary):
Base 5 (Quintal):
Base 8 (Octal):
Base 32:
13l
si... | HuggingFaceTB/finemath | |
# NCERT Solutions for Class 9 Maths Exercise 13.4 Chapter 13 Surface Area And Volume
NCERT Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volumes Exercise 13.4, includes step-wise solved problems from the NCERT textbook. The NCERT solutions are created by Maths subject experts along with proper geometric... | HuggingFaceTB/finemath | |
Home
Search results “Determining null and alternative hypotheses”
13:06
Video lesson for ALEKS statistics
Views: 12693 John Wood
14:52
Get the full course at: http://www.MathTutorDVD.com The student will learn how to write the null and alternate hypothesis as part of a hypothesis test in statistics. We will work seve... | HuggingFaceTB/finemath | |
We had a number of good answers, with commentary, on this problem including from Samantha (The Steele School), and Helen (Lady Margaret School).
Any calculation like this is the same as the bottom number to the power of all the other numbers multiplied together.
So all I needed to try out was :
$-4 \text{ to the pow... | HuggingFaceTB/finemath | |
# “Ordinary” and “polar” vector fields in Euclidean $3$-space
In his book Differential Forms with Applications to the Physical Sciences, on pages 19--20, Harley Flanders writes:
"a one-form $$\omega = P\,dx+Q\,dy+R\,dz$$ may be identified with an ordinary vector field $(P,Q,R)$ in $\mathbf E^3$, a two-form $$\alpha =... | HuggingFaceTB/finemath | |
# Linear transformation formula
Show 40 post(s) from this thread on one page
Page 2 of 2 First 12
• Oct 28th 2012, 02:32 AM
M.R
Re: Linear transformation formula
Quote:
Originally Posted by Deveno
but suppose we want to use the basis B = {b1,b2} = {(1,0),(1,1)} instead.
in the basis B, the vector (1,0) = (1)(1,0) + ... | HuggingFaceTB/finemath | |
# How to calculate key size for Diffie-Hellman key exchange?
How to calculate key size for Diffie-Hellman key exchange? The strength obviously depends on both generator and prime modulus.
Formula:
$$g^x\bmod p$$
Public values:
$$g=3$$
$$p=17$$
Alice:
$$x=15$$
$$3^{15}\bmod 17=6$$
Bob:
$$x=13$$
$$3^{13}\bmod... | HuggingFaceTB/finemath | |
Associated Topics || Dr. Math Home || Search Dr. Math
### Hit-and-Run Prime Number Problem
```Date: 12/10/2002 at 21:41:36
From: Charlie
Subject: Hit-and-Run Prime Number Word Problem
Cop: Did You get his license number?
Victim: Yes! His license was in two parts, a two-digit number and a
three-digit number. The two... | HuggingFaceTB/finemath | |
# Systems of Equations Story Problem
by Katie
(United States)
Tickets to a movie cost \$7.25 for adults and \$5.50 for students. A group of friends purchased 8 tickets for \$52.75. Write a system of equations to represent this situation. How many adult tickets and student tickets were purchased?
### Comments for Sys... | HuggingFaceTB/finemath | |
# Finding cooridinates of a charge from vector quantities
1. Oct 4, 2006
### mkienbau
Well I'm stumped at how to do this problem, its probably ridiculously simple, but I just can't get it. I've answered the first part correctly, but the last 4 parts is where I'm having problems. I've attached a picture of the proble... | HuggingFaceTB/finemath | |
# Equation with inverse trigonometric functions and logarithms
Solve over reals
$$\log_\frac{\pi}{2}\left(\arcsin\, \{x\}\right)+\log_\frac{\pi}{2}\left(\arccos\,\{x\}\right)=\frac{2}{\log_\frac{\pi}{4}\left(\arctan e^{\lfloor x\rfloor} + \operatorname{arccot} e^{\lfloor x\rfloor}\right)}$$
where $$\{x\}$$ is the fr... | HuggingFaceTB/finemath | |
The center of the incircle The radius is given by the formula: where: a is the area of the triangle. Consider a straight line and a point X not on that line. Let a be the length of BC, b the length of AC, and c the length of AB. Radius of the Incircle. Incenter: The location of the center of the incircle. Inradius: The... | HuggingFaceTB/finemath | |
#### Write ‘True’ or ‘False’ and justify your answer in each of the following :The length of tangent from an external point P on a circle with centre O is always less than OP.
Solution
Here O is the center of given circle and PA is tangent which is drawn from an external point P. OA is radius of circle.We know that t... | HuggingFaceTB/finemath | |
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# Yield to maturity zero coupon bond
### Zero Coupon Bond Value Calculator: Calculate Price, Yield
• Calculating Yield to Maturity on a Zero-coupon Bond. YTM = (M/P) 1/n - 1. variable definitions: YTM = yield to maturity, as a decimal (multiply it by 100 to convert it to percent) M = maturity value; P = price; ... | HuggingFaceTB/finemath | |
# Maths
##### Inverse Matrix
If A is a non-singular square matrix, there is an existence of n x n matrix A-1, which is called the ...
##### Triangle Inequality
Triangle is a 3 sided polygon. A triangle has three sides and three angles. The three sides and thre ...
##### Domain Range and Codomain of a Function
We ... | open-web-math/open-web-math | |
#### International Journal of Petroleum Technology
Journal Information
EISSN : 2409-787X
Total articles ≅ 52
Filter:
#### Latest articles in this journal
Huijing Fang, Shubo Yang, Guocan Zhang, Huaimin Xu
Published: 15 April 2022
International Journal of Petroleum Technology, Volume 9, pp 1-7; https://doi.org/10.546... | open-web-math/open-web-math | |
6
Q:
# A man walking at the speed of 4 kmph crosses a square field diagonally in 3 meters.The area of the field is
A) 10000 B) 20000 C) 30000 D) 40000
Explanation:
speed of the man = 4 x (5/18) m/sec = 10/9 m/sec
time taken = 3 x 60 sec = 180 sec
length of diagonal = speed x time = (10/9) x 180 = 200m
Area of ... | HuggingFaceTB/finemath | |
## type work
Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?
## Answers (4)
• scale problem NO not reasonable 120/4 = 30 in her paper is only 24 in
Proof:
2 ) I am not ... | HuggingFaceTB/finemath | |
Logistic function
The logistic function or logistic curve models the S-curve of growth of some set P. The initial stage of growth is approximately exponential; then, as competition arises, the growth slows, and at maturity, growth stops.
As shown below, the untrammeled growth can be modelled as a rate term +rKP (a pe... | HuggingFaceTB/finemath | |
## Integer Factorization: When x^2+2cx+r Yields a Perfect Square
For odd positive integer m=c2-r, define the characteristic polynomial f(x)=x2+2cx+r. We are looking for the least nonnegative integer x for which f(x) is a perfect square.
Completing the square of the polynomial may give us a way to find values of x giv... | HuggingFaceTB/finemath | |
Mathematics
29 November, 16:22
# the length of a certain rectangle is 5cm more than 3 times its width. if the perimeter of the rectangle is 74 what is the length and width
0
1. 29 November, 17:46
0
The perimeter of a rectangle is the sum of all four sides of the rectangle.
(Perimeter = 2width + 2length)
Let's assu... | HuggingFaceTB/finemath | |
# 650 in Words
The number 650 is expressed in words as “six hundred and fifty”. It comes after six hundred plus fifty. For example, if there are 650 stars, you have six hundred stars and fifty additional stars.
Hundreds Tens Ones 6 5 0
## How to Write 650 in Words?
Writing the number 650 in words involves recogniz... | HuggingFaceTB/finemath | |
1. ## Prove that
If Tn = sin^nA+cos^nA
Prove that
T3-T5 = T5-T7
...T1.......T3
plzzzz explain by covering all the steps as i belong to 10th standard ......
2. Originally Posted by Sanjana Das
If Tn = sin^nA+cos^nA
Prove that
T3-T5 = T5-T7
...T1.......T3
plzzzz explain by covering all the steps as i belong to 10th s... | HuggingFaceTB/finemath | |
# Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
Find the missing quantity in the following table of equivalent ratios.
Planets Moons 12 18 x 24
### Solution
Step 1:
Since the table gives values of equivalent ratios
$\frac{x}{24} = \frac{12}{18}; x = \frac{12}{18} \times 24 = \frac{12}{... | HuggingFaceTB/finemath | |
# What is it $\frac{P(A\cap B\cap C)}{P(B\cap C)}$?
(My question is prompted by this post.)
I'm not understanding why $\frac{P(A\cap B\cap C)}{P(B\cap C)}$is not equal to $\frac{P(A)P(B)P(C)}{P(B)P(C)} = P(A)$. I know it's wrong but I cannot understand why. Can you explain it please?
• Not sure why this was downvote... | HuggingFaceTB/finemath | |
# What is the vertex of y= -3x^2 + 2x − 4?
May 21, 2018
$v e r t e x \left(\frac{1}{3} , - \frac{11}{3}\right)$
#### Explanation:
${a}^{2} + b x + c$
y= -3x^2 + 2x − 4
a = -3
b=2
c=-4
vertex is $\left(h , k\right)$
$h = \frac{- b}{2 a}$
$k = f \left(h\right)$ i.e. put what you found for h back into your functi... | HuggingFaceTB/finemath | |
# 462356 (number)
462,356 (four hundred sixty-two thousand three hundred fifty-six) is an even six-digits composite number following 462355 and preceding 462357. In scientific notation, it is written as 4.62356 × 105. The sum of its digits is 26. It has a total of 3 prime factors and 6 positive divisors. There are 231... | HuggingFaceTB/finemath | |
# Show that $A[x] \cap A[x^{-1}]$ is integral over $A$. [duplicate]
Let $R$ be a commutative ring, $A$ a subring of $R$, and $x$ a unit in $R$. Show that every $y \in A[x] \cap A[x^{-1}]$ is integral over $A$.
I'm supposed to use the fact that there exists an integer $n$ such that the A-module $M = Ax +..... +Ax^{n}$... | open-web-math/open-web-math | |
# Mass and Density
## Solved Problems
Click or tap a problem to see the solution.
### Example 5
Assuming that the stellar radial distribution within a galaxy obeys the exponential law $\rho \left( r \right) = {\rho _0}{e^{ - \frac{r}{h}}},$ estimate the mass of a galaxy with following parameters: $${\rho _0} = {10^... | HuggingFaceTB/finemath | |
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# The polynomial y = - 0.79x^4 + 3x^3 +27.3 describes the billions of flu virus particles in a person’s body x days after being infected. Find the number of virus particles, in billions, after 1 day. # The polynomial y = - 0.79x^4 + 3x^3 +27.3 describes the billions of flu virus particles in a person’s bo... | HuggingFaceTB/finemath | |
# How To Calculate The Number Of Days Between Two Dates In Excel
Monday, July 17th 2023. | Excel Templates
## Introduction
Calculating the number of days between two dates in Excel is a common task that is often required in various business and personal scenarios. Fortunately, Excel provides several built-in functio... | HuggingFaceTB/finemath | |
## How do you calculate Fahrenheit to Celsius?
F° to C°: Fahrenheit to Celsius Conversion Formula To convert temperatures in degrees Fahrenheit to Celsius, subtract 32 and multiply by . 5556 (or 5/9).
## What is the easiest way to convert Fahrenheit to Celsius?
In other words, if you’d like to convert a Fahrenheit t... | HuggingFaceTB/finemath | |
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# Graph Theory and Pigeonhole Principle
In summary, each student can invite three people to a restaurant so that each of the four people at the table will know at least two of the other three.f
A school class has 90 students, each of whom has ten friends among
the other students. Prove that each student can invite th... | HuggingFaceTB/finemath |
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