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# Order (algebraic number theory)
In algebraic number theory , an order of the number field is a subring of , which operates (via multiplication) as an endomorphism ring on certain subgroups of , the lattice , at the same time the order itself is a special lattice. The terms order and lattice play a role in the invest... | HuggingFaceTB/finemath | |
google_ad_slot = "2612997342"; BEAM FORMULAS WITH SHEAR AND MOMENT DIAGRAMS. Both of the reactions will be equal. Fig:1 Formulas for Design of Simply Supported Beam having Simply supported beam with linearly varying distributed load (triangular) Quantity. Gotthard Base Tunnel (Rail Tunnel) Design Engineering, Construct... | HuggingFaceTB/finemath | |
$$\require{cancel}$$
# 10.7: Collisions of Extended Bodies in Two Dimensions
• • Contributed by OpenStax
• General Physics at OpenStax CNX
Bowling pins are sent flying and spinning when hit by a bowling ball—angular momentum as well as linear momentum and energy have been imparted to the pins. (See Figure). Many col... | HuggingFaceTB/finemath | |
# EE369 POWER SYSTEM ANALYSIS
## Presentation on theme: "EE369 POWER SYSTEM ANALYSIS"— Presentation transcript:
EE369 POWER SYSTEM ANALYSIS
Lecture 2 Complex Power, Reactive Compensation, Three Phase Tom Overbye and Ross Baldick
HW 1 is Problems 2.2, 2.3, 2.4, 2.5, 2.6, 2.8, 2.12, 2.14, 2.17, 2.19, 2.24, 2.25 and C... | HuggingFaceTB/finemath | |
If r 1 and r 2 are the radii of the two non intersecting non enclosing circles
# If r 1 and r 2 are the radii of the two non
This preview shows page 9 - 11 out of 25 pages.
If r1and r2are the radii of the two non-intersecting non-enclosing circles, Length of the direct common tangent =2212)r-(r-centre)between(Distan... | HuggingFaceTB/finemath | |
# Algebra/Statistics
Algebra
← Probability Statistics
## Percentages
Percentages are another way of representing rational numbers. Rational numbers can be represented as decimals, fractions or percentages.
Percent, when you actually break the word apart, consists of two words: per and cent. Per is a small but extr... | HuggingFaceTB/finemath | |
Pareto Chart
Also called: Pareto diagram, Pareto analysis
Variations: weighted Pareto chart, comparative Pareto charts
A Pareto chart is a bar graph. The lengths of the bars represent frequency or cost (time or money), and are arranged with longest bars on the left and the shortest to the right. In this way the char... | HuggingFaceTB/finemath | |
Tag Info
Hot answers tagged electrostatics
17
Gauss's law is always fine. It is one of the tenets of electromagnetism, as one of Maxwell's equations, and as far as we can tell they always agree with experiment. The problem you've uncovered is simply that "a uniform charge density of infinite extent" is not actually ... | open-web-math/open-web-math | |
# Prove that $f(x) + g(x) = 6$
Calculus theory problem I'm belaboring to solve... Tried it for an hour only spinning my wheels. Any hints/nudges in the right direction would be greatly appreciated. Here's the problem:
$f$ and $g$ are functions that are differentiable for all real x. They have the following properties... | HuggingFaceTB/finemath | |
## The Goodness of Fit or Chi - Squared Distribution
Thetest can only be used the goodness of fit of a data set to a hypothesised probability distribution.
The observed data is sorted into frequency classes, and for each frequency class, the expected number of observations that would fall into that frequency class is... | HuggingFaceTB/finemath | |
# The molecular mass of albumin is 60 kDa. What is the concentration of a 1.2 % m/m solution of albumin in milligrams per millilitre? What is the molar concentration?
Jan 18, 2017
The concentration of albumin is a) $\text{12 mg/mL}$ and b) 2.0 × 10^"-4" color(white)(l)"mol/dm"^3.
#### Explanation:
A dalton (Da) is ... | HuggingFaceTB/finemath | |
# Algebra II Homework Week 13 ```Algebra II Homework Week 13
Monday (11/26) –
1 𝑥
1. Graph 𝑦 = 3 (2) . Then state the domain and range.
2. Determine whether each function represents exponential growth or decay.
1 𝑥
b. 𝑦 = .4(7)𝑥
a. 𝑦 = 2 (6)
c. 𝑦 = 3.4(0.1)𝑥
3. Solve the equation 3𝑛−2 = 27
1 𝑦−3
4. Solve (7)
... | HuggingFaceTB/finemath | |
## Tag Archives: precalculus
### Basic Algebra for IITJEE Main and RMO
More basic algebra for you guys who are thirsting for more…The following is a nice problem indicating some basic concepts or tricks in problems involving logarithms/powers.
Solve for x: $4^{x}-3^{x-(1/2)}=3^{x+(1/2)}-2^{2x-1}$ (IITJEE 1978)
Solu... | open-web-math/open-web-math | |
Year 9 Interactive Maths - Second Edition
## Problem Solving
#### Example 22
A customer is allowed a discount of 10% on the purchase of a table lamp. The discount is \$7.40. What is the marked price of the table lamp?
##### Solution:
Let the marked price of the table lamp be \$x. Now, the discount of \$7.40 is ... | HuggingFaceTB/finemath | |
# Ordinal Numbers Songmr R
You can count unlimited sets with ordinal numbers. They also can help generalize ordinal numbers.
## 1st
The basic concept of math is the ordinal. It is a numerical number that defines the position of an object in an array of objects. A number that is normally between one and 20 is utilize... | HuggingFaceTB/finemath | |
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Topic: The nature of gravity
Replies: 28 Last Post: Apr 11, 2014 4:14 PM
Messages: [ Previous | Next ] Topics... | HuggingFaceTB/finemath | |
Free Identify Angles Homework Extension Year 4 Properties of Shape | Classroom Secrets
Maths Resources & WorksheetsYear 4 Maths LessonsSummer Block 5 (Properties of Shape)01 Identify Angles › Free Identify Angles Homework Extension Year 4 Properties of Shape
# Free Identify Angles Homework Extension Year 4 Propertie... | HuggingFaceTB/finemath | |
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It is currently 26 Aug 2016, 05:29
### 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.
C... | HuggingFaceTB/finemath | |
M4-6 - 1 CIV100 – Mechanics Module 4 Centroid and Moments...
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Unformatted t... | HuggingFaceTB/finemath | |
# 3.2 Vector addition and subtraction: graphical methods (Page 2/15)
Page 2 / 15
Step 1. Draw an arrow to represent the first vector (9 blocks to the east) using a ruler and protractor .
Step 2. Now draw an arrow to represent the second vector (5 blocks to the north). Place the tail of the second vector at the hea... | open-web-math/open-web-math | |
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# The heat of combustion of ethylene at $18^0 C$ and at constant volume is -335.8Kcal when water is obtained in liquid state. Calculate the heat of combustion at constant pressure and at $18^0 C$. Verified
335.1k+ ... | HuggingFaceTB/finemath | |
# Solving Thiele's differential equation.
Consider Thiele's differential equation for $$t\in[0,\infty)$$ (all the other functions are continuous on $$[0,\infty)$$, too.)
\begin{align} V'(t)&=\Big(\phi(t)+\lambda(t)\Big)V(t)+\pi(t)-\lambda(t)A(t)\\ V(0)&=0 \end{align}
I am reading a proof about the unique solution be... | HuggingFaceTB/finemath | |
# Nakai-Moishezon theorem for abelian varieties
In Birkenhake and Lange's book, they prove a version of the Nakai-Moishezon theorem for complex abelian varieties that says that if $L_0$ is an ample line bundle on a complex abelian variety $X$ of dimension $g$, then a line bundle $L$ is ample if and only if $(L^\nu\cdo... | open-web-math/open-web-math | |
## Problem 2: Pairwise Cipher
In war time, messages sent by radio can be heard by the enemy. It is therefore important that the message is in a secret code, so that no one but friends, who have the key, can decode the message. The key is a secret phrase that only you and your friends know: It is used to scramble the a... | HuggingFaceTB/finemath | |
## 50842
50,842 (fifty thousand eight hundred forty-two) is an even five-digits composite number following 50841 and preceding 50843. In scientific notation, it is written as 5.0842 × 104. The sum of its digits is 19. It has a total of 3 prime factors and 8 positive divisors. There are 23,100 positive integers (up to ... | HuggingFaceTB/finemath | |
# how to find eigenvalues of a matrix
Theorem. Pictures: whether or not a vector is an eigenvector, eigenvectors of standard matrix transformations. Let's find the eigenvector, v 1, associated with the eigenvalue, λ 1 =-1, first. That is why we can easily solve using MS excel Goal seeks . S.O.S. Theorem. The Mathemat... | open-web-math/open-web-math | |
# How to use the IMSUB Function in Excel
COMPLEX number (inumber) in excel derived for mathematical number having real and imaginary coefficients. In mathematics we call it the coefficient of i or j (iota).
i = (-1)1/2
Square root of negative number is not possible, so for calculation purpose, -1is named as imagina... | HuggingFaceTB/finemath | |
+0
how do i find the area of the triangle?
0
221
1
find the area of a triangle with A=29 degrees b=49 and c=50
Guest Apr 20, 2017
Sort:
#1
+18610
0
find the area of a triangle with A=29 degrees b=49 and c=50
Formula:
$$\begin{array}{|rcll|} \hline \text{Area} &=& \frac12 \cdot b\cdot c\cdot \sin(A) \\ \hline \e... | HuggingFaceTB/finemath | |
p201f04-homework01-sol
# p201f04-homework01-sol - Version One Homework 1 Heinz 81204...
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Version One – Homework 1 – Heinz – 81204 – Aug 30, 2004 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page ... | HuggingFaceTB/finemath | |
# Finding location of turning points. Potential Energy?
• Patdon10
In summary, the roller coaster will continue on its uphill trajectory until reaching a point where kinetic energy is converted to potential energy. This point, at (41.39 m, 23.89 m), is where the track should be changed to utilize the potential energy ... | HuggingFaceTB/finemath | |
# Cuboid
The volume of the cuboid is 245 cm3. Each cuboid edge length can be expressed by a integer greater than 1 cm. What is the surface area of the cuboid?
Result
S = 238 cm2
#### Solution:
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Be the first to comment!
####... | HuggingFaceTB/finemath | |
1. ## Help with logs please
We just started doing some work on logs and i cant work out this problem, i think its quite easy but im crap at these.
Two curves:
y=a^x and y=2b^x
Prove that x coord of the point of intersection is 1 / (log(of base2)A-log(of base2)B)
Help would be appreciated
2. y=a^x and y=2b^x
y = ... | HuggingFaceTB/finemath | |
# Homogeneous Differential Equations
## Introduction
Differential Equations are equations involving a function and one or more of its derivatives.
For example, the differential equation below involves the function $y$ and its first derivative $\dfrac{dy}{dx}$.
Let's consider an important real-world problem that pro... | open-web-math/open-web-math | |
Home » Powers of 1 » 1 to the 96th Power
# 1 to the 96th Power
Welcome to 1 to the 96th power, our post about the mathematical operation exponentiation of 1 to the power of 96.
If you have been looking for 1 to the ninety-sixth power, or if you have been wondering about 1 exponent 96, then you also have come to the ... | HuggingFaceTB/finemath | |
# Perpendicular Bisector of Triangle is Altitude of Medial Triangle
Jump to navigation Jump to search
## Theorem
Let $\triangle ABC$ be a triangle.
Let $\triangle DEF$ be the medial triangle of $\triangle ABC$.
Let a perpendicular bisector be constructed on $AC$ at $F$ to intersect $DE$ at $P$.
Then $FP$ is an al... | HuggingFaceTB/finemath | |
# Describing three-dimensional structures with spherical and ```Describing three-dimensional structures with spherical and Cartesian
coordinates
The geometry of a geologic structure is expressed in terms of angles: a plane’s
orientation is described by its strike and dip, and a line’s attitude is given as its trend
and... | HuggingFaceTB/finemath | |
derivative of sinx cosx tanx
# derivative of sinx cosx tanx
The derivative of a function shows how does a function is changed when there occurs a change in one of its variables. As y f( x) is a function and x is changing by x so there will a change in y by y. Such as sinx, cosx, tanx, etc. Phone 2018 - Cosx Sinx De... | HuggingFaceTB/finemath | |
# Show that Lim X → ∞ ( √ X 2 + X + 1 − X ) ≠ Lim X → ∞ ( √ X 2 + 1 − X ) - Mathematics
Show that $\lim_{x \to \infty} \left( \sqrt{x^2 + x + 1} - x \right) \neq \lim_{x \to \infty} \left( \sqrt{x^2 + 1} - x \right)$
#### Solution
$\lim_{x \to \infty} \left( \sqrt{x^2 + x + 1} - x \right) \neq \lim_{x \to \infty} \l... | HuggingFaceTB/finemath | |
Assess its distance x ‘as the crow flies regarding starting point
a two = c dos ? q 2 + b dos ? 2bq + q 2 = c 2 + b dos ? 2bq
## There is also an essential relationships amongst the about three sides of a broad triangle additionally the cosine of one of the angles
Profile 30 reveals the road out-of a motorboat one t... | HuggingFaceTB/finemath | |
# Quick Answer: How Do You Find The Shortest Path?
## How do you find the path between two nodes on a graph?
Approach: Either Breadth First Search (BFS) or Depth First Search (DFS) can be used to find path between two vertices.
Take the first vertex as source in BFS (or DFS), follow the standard BFS (or DFS).
If t... | HuggingFaceTB/finemath | |
# Difference between revisions of "Steady-state nonisothermal reactor design - 2013"
Jump to navigation Jump to search
Class date(s): 18 March
Download video: Link (plays in Google Chrome) [399 M]
Download video: Link (plays in Google Chrome) [266 M]
Download video: Link (plays in Google Chrome) [392 M]
Download v... | HuggingFaceTB/finemath | |
6.4: Inverse Trigonometric Functions
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathrm{null}\,}\... | HuggingFaceTB/finemath | |
# Solving an Algebraic Linear Equation with One Variable
by Ron Kurtus (revised 17 August 2012)
A linear equation with one variable consists of numbers or constants and multiplies of a variable. The standard form of such an equation is ax + b = 0, where a and b are constants and x is the variable. Often, the equation... | HuggingFaceTB/finemath | |
## Introduction
Metabolic phenotyping seeks to identify biomarkers for diagnosis, prognosis or therapy and holds great promise to improve clinical practice and especially, precision medicine1,2. Despite considerable progress with respect to the sensitive and parallel analysis of metabolites in metabolomics/metabonomic... | open-web-math/open-web-math | |
# 2.4: Power and Sum Rules for Derivatives
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathrm{nul... | HuggingFaceTB/finemath | |
# Class 7 Maths NCERT Solutions for Chapter 1 Integers Chapter 1 Integers EX – 1.2
## Integers
Question 1.
Write down a pair of integers whose:
(a)
The sum is – 7
(b) Difference is -10
(c) Sum is 0
Solution.
(a) A pair of integers whose sum is – 7 can be (- 1) and (- 6).
∵ (- 1) + (- 6) = – 7
(b) A pair of integers ... | HuggingFaceTB/finemath | |
• Sep 15th 2009, 09:17 PM
Dida
Hi I'm new here and I need some help please.
1. S=3/1-r if r= -3/4 , S=?
2. t=16(-1/2) ^x-1 if n=8
3. T= -1/2(2)^n-1 if t=-32 , n=?
4. write the quadratic equation whose roots are 2/3 and -1
5.What are the restrictions on the graph of y= x+2/ (x-a)(bx-1)
6. How many solutions are th... | HuggingFaceTB/finemath | |
0
# What has only one base and triangular lateral face?
Updated: 11/3/2022
Wiki User
12y ago
Best Answer
it is a pyramid
Wiki User
12y ago
This answer is:
## Add your answer:
Earn +20 pts
Q: What has only one base and triangular lateral face?
Write your answer...
Submit
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Related questions... | HuggingFaceTB/finemath | |
# Pension Calculator Article byHarsh Katara ## Pension Calculator
Pension funds are contributed by employers to fund for the retirement of the employees, and this pension calculator shall be useful to calculate the eligible amount that the employee is eligible for.
#### Pension Calculator
AS x F x N
Wherein,
• AS i... | HuggingFaceTB/finemath | |
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Main content
# Simplifying rational expressions: grouping
CCSS.Math:
## Video transcript
simpli... | HuggingFaceTB/finemath | |
### Author Topic: Method of Continuation (Read 4038 times)
#### Dana Kayes
• Jr. Member
• • Posts: 6
• Karma: 0 ##### Method of Continuation
« on: October 05, 2012, 11:09:44 AM »
Could anyone help me understand the method of continuation? The notes for Lecture 8 are just a little too complex for me to follow. What ... | HuggingFaceTB/finemath | |
1310-pop-16-key(1)
# 1310-pop-16-key(1) - -1, 1, 2, 0 D.-1, 1, 2 E.-1, 1, -2, 0...
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Math 1310 Daily Poppers 18 1. If you know that x = 1 is a zero of the function 3 2 ( ) 5 5 f x x x x = + - - , find the remaining zeros. A. -1, 5 B. -1, -5 C. -1, 5, -5 ... | HuggingFaceTB/finemath | |
What type of discount?
% off
Original price
\$
Discount
%
Is tax included in price?
yes
After discount
You pay
\$
You're saving
\$
The old version, the simple discount calculator, is also available.
# Discount Calculator
By Mateusz Mucha and Hanna Pamuła, PhD candidate
This discount calculator allows you to find the... | HuggingFaceTB/finemath | |
# 94.7 kg to lbs - 94.7 kilograms to pounds
Do you need to learn how much is 94.7 kg equal to lbs and how to convert 94.7 kg to lbs? You are in the right place. This whole article is dedicated to kilogram to pound conversion - theoretical and also practical. It is also needed/We also want to highlight that whole this ... | HuggingFaceTB/finemath | |
2018年1月16日火曜日
数学 - Python - 線型代数 - 行列式 - 行列式の計算(4-次正方行列、複素数、等式)
1. $\begin{array}{}\mathrm{det}\left(\begin{array}{cccc}0& 1& 0& 0\\ -{x}^{2}& x& 1& 0\\ 0& 0& x& 1\\ 1& 0& 0& x\end{array}\right)\end{array}=\mathrm{det}\left(\begin{array}{cccc}1& 0& 0& 0\\ 0& {x}^{2}& 1& 0\\ 0& 0& x& 1\\ 0& -1& 0& x\end{array}\right)\... | HuggingFaceTB/finemath | |
List of accepted papers
Click on the plus signs to expand the abstracts.
1. [+] Mingbo Zhang and Yong Luo. Factorization of Differential Operators with Ordinary Differential Polynomial Coefficients
2. Abstract: In this paper, we present an algorithm to factor a differential operator $L=\sigma^n+c_{n-1}\sigma^{n-1}+\c... | open-web-math/open-web-math | |
## Green Eyes
### September 29, 2009
We haven’t done a math problem in a while. This one comes from my daughter’s high-school math class. She is never quite sure whether or not to ask me for help; sometimes she gets much more help than she really wants.
In a group of twenty-seven people, eleven have blue eyes, thirt... | HuggingFaceTB/finemath | |
# RD Sharma Solutions for Class 8 Chapter - 7 Factorization Exercise 7.3
Students can refer to RD Sharma Solutions for Class 8 Maths Exercise 7.3 Chapter 7 Factorization which are available here. The solutions here are solved step by step for a better understanding of the concepts, which helps students prepare for the... | HuggingFaceTB/finemath | |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... | HuggingFaceTB/finemath | |
# 32096 in Words
32096 in words is written as thirty-two thousand and ninety-six. We can easily convert numbers into words using the place value system. For example, if you gave Rs. 32096 for charity, you can write it as “I have Rs. Thirty-two thousand and ninety-six for charity”. Also, 32096 is a cardinal number as i... | HuggingFaceTB/finemath | |
# Thread: Trig. Identities; Tricky one :S
1. ## Trig. Identities; Tricky one :S
Prove:
$\displaystyle tanU/(secU+1) = (secU-1)/tanU$
i tried this many times, but i cant seem to prove them.
I really need help with this, plz if can prove it, plz show your steps b/c I want to learn to do it myself for later questions.... | HuggingFaceTB/finemath | |
# Direct Variation
### Popular Tutorials in Direct Variation
• #### How Do You Find the Constant of Variation from a Direct Variation Equation?
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. Watch this tutorial to see how to... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from liters to pints is 2.1133764099325, which means that 1 liter is equal to 2.1133764099325 pints:
1 L = 2.1133764099325 pt
To convert 2 liters into pints we have to multiply 2 by the conversion factor in order to get the volume amount from liters to pints. We can also f... | HuggingFaceTB/finemath | |
# Worksheet: Sound Wave Power and Intensity
In this worksheet, we will practice relating sound intensity level in decibels to sound wave intensity, amplitude, and pressure changes that waves produce.
Q1:
The energy of a ripple on a pond is proportional to the amplitude squared. If the amplitude of the ripple is 0.10... | HuggingFaceTB/finemath | |
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# Unit 2
## Electricity and Thermal Physics
Solutions to Assessment Questions
1
Resistance
Power
Current
1
R
4
[5]
[4]
[2]
## Since in parallel, same potential difference across each resistor
Total current I = I1 + I2 + I3
## so that V/R = V/R1 + V/R2 + V/R3
[2]
[3]
F... | HuggingFaceTB/finemath | |
# Complex Conjugate Proof
Posted on by Miles Steele
We will set out to prove the equation `(a - b)* = a* - b*` where `*` means complex conjugate.
As a refresher, a complex conjugate of a complex number is the number which is the same but for a negated imaginary component. For example, the complex conjugate of `4 + 3... | HuggingFaceTB/finemath | |
# A spring with a constant of 5 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 6 kg and speed of 6 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?
Jan 11, 2018
6.57 meters
#### Explanation:
Let's assume,after the collis... | HuggingFaceTB/finemath | |
# How Do You Derive the Surface Area Formula for a Sphere Using Integration?
• sanitykey
In summary, the conversation is discussing the method for finding the general formula for the surface area of a sphere using integrals. The conversation covers the use of Cartesian and polar coordinates, as well as the correct lim... | HuggingFaceTB/finemath | |
# Geometry Part 8: Area and Perimeter (cont’d)
by C. Elkins, OK Math and Reading Lady This post features 3 more area and perimeter misconceptions students often have. I have included some strategies using concrete and pictorial models to reinforce the geometry and measurement standards. Refer to Geometry Part 7 for 2 ... | HuggingFaceTB/finemath | |
# 0-30V 20A High current adjustable voltage regulator circuit
If you are looking for a high current Adjustable voltage regulator circuit. This may be a better choice for you.
It can give the output current 20A or 400watts and can adjust the voltage of 4 to 20V—or apply to 0 to 30V easily. It is good quality, excellen... | HuggingFaceTB/finemath | |
# 5.4. Sorting Algorithms¶
This lesson introduces sorting algorithms, a frequently used algorithm in programming for processing data sets. It is also an introduction to the relative efficiencies of different algorithms that solve the same problem.
### Professional Development
The Student Lesson: Complete the activit... | HuggingFaceTB/finemath | |
Optics/Total internal reflection
Total internal reflection is a phenomenon that occurs when light travels from a more optically dense medium (or a medium with higher refractive index ${\displaystyle {n_{1}}}$) to a less optically dense one (lower index ${\displaystyle {n_{2}}}$), such as glass to air or water to air. ... | HuggingFaceTB/finemath | |
# Converting a decimal to a mixed number and an improper fraction in simplest form: Basic
#### Complete Python Prime Pack
9 Courses 2 eBooks
#### Artificial Intelligence & Machine Learning Prime Pack
6 Courses 1 eBooks
#### Java Prime Pack
9 Courses 2 eBooks
Rules to convert a decimal to a mixed numb... | HuggingFaceTB/finemath | |
# What Math Skills do I need for a Game Design Degree?
Game design is one of the most popular subjects in computer science, and while it requires most of the same math concepts as other areas of programming, there are a few concepts related to graphics and problem solving that game developers need more than others. By... | HuggingFaceTB/finemath | |
# Question of counting and probability
Alexsandro
Could someone help me with this question ?
There are two locks on the door and the keys are among the six different ones you carry in your pocket. In a hurry you dropped one somewhere.
a) What is the probability that you can still open the door ?
b) What is the prob... | HuggingFaceTB/finemath | |
# Playing with GF(32)
(Last Mod: 27 November 2010 21:38:01 )
## Introduction
In most applications where a Galois field is employed it is of the form GF(2n). The main reason is convenience. Since math on the polynomial coefficients is done in GF(2), the operations can be converted to binary logic circuits very readil... | HuggingFaceTB/finemath | |
# 1031.Maximum-Sum-of-Two-Non-Overlapping-Subarrays
## ้ข็ฎๅฐๅ
https://leetcode.com/problems/maximum-sum-of-two-non-overlapping-subarrays/
## ้ข็ฎๆ่ฟฐ
``````Given an array A of non-negative integers, return the maximum sum of elements in two non-overlapping (contiguous) subarrays, which have lengths L and ... | HuggingFaceTB/finemath | |
# Thread: Converting an equation in one variable to a function
1. ## Converting an equation in one variable to a function
This is probably a really stupid question but it's been bugging me.
The problem in the textbook says: "Use a graphing utility to approximate the solutions to the equation $x\ =\ 2sin(x)$ on the i... | HuggingFaceTB/finemath | |
## Convert decajoule to dekajoule
decajoule dekajoule
How many decajoule in 1 dekajoule? The answer is 1. We assume you are converting between decajoule and dekajoule. You can view more details on each measurement unit: decajoule or dekajoule The SI derived unit for energy is the joule. 1 joule is equal to 0.1 decaj... | HuggingFaceTB/finemath | |
# Legislation for Personal Data: Magna Carta or Highway Code?
Karl Popper is perhaps one of the most important thinkers from the 20th century. Not purely for his philosophy of science, but for giving a definitive answer to a common conundrum: “Which comes first, the chicken or the egg?”. He says that they were simply ... | open-web-math/open-web-math | |
# Analyzing the Odds on a Sports Betting Website
## The Basics of Sports Betting
Sports betting has become increasingly popular among sports enthusiasts as a way to enhance their enjoyment of the game and have a chance to win some extra cash. With the advent of online sports betting websites, the convenience and acce... | HuggingFaceTB/finemath | |
In this tutorial blog we will see how to write c program for avl tree data structure.
## what is avl tree?
avl tree is self balancing binary search tree such that
• The sub-trees of every node differ in height by at most one. it means difference between height of left subtree and right subtree of any node of binary ... | HuggingFaceTB/finemath | |
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A080712 a(0) = 4; for n>0, a(n) is taken to be the smallest positive integer greater than a(n-1) which is consistent with the condition "n is a member of the sequence if and only if a(n) ... | HuggingFaceTB/finemath | |
# 233618 (number)
233,618 (two hundred thirty-three thousand six hundred eighteen) is an even six-digits composite number following 233617 and preceding 233619. In scientific notation, it is written as 2.33618 × 105. The sum of its digits is 23. It has a total of 5 prime factors and 32 positive divisors. There are 86,... | HuggingFaceTB/finemath | |
# Solving a Bubble Puzzle: Understanding Surface Tension Force
• Vibhor
In summary, the conversation discusses the surface tension force on a bubble at the point where it is about to rise. The direction of the surface tension force is shown to be tangential to the bubble's surface and perpendicular to the line of cont... | HuggingFaceTB/finemath | |
# Introductory Econometrics Examples
## Introduction
This vignette contains examples from every chapter of Introductory Econometrics: A Modern Approach, 6e by Jeffrey M. Wooldridge. Each example illustrates how to load data, build econometric models, and compute estimates with R.
In addition, the Appendix cites good... | HuggingFaceTB/finemath | |
# Piecewise
In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain). Piecewise is actually a way of expressing the functio... | HuggingFaceTB/finemath | |
# Category: Transformation (function)
Rotation matrix
In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix rotates points in the xy plan
Translation (geometry)
In Euclidean geometry, a translation is a... | HuggingFaceTB/finemath | |
## Calculus: Early Transcendentals (2nd Edition)
$8\textbf{w} + \textbf{v} - 6\textbf{u} = \langle -28, 82 \rangle$
$8\textbf{w} + \textbf{v} - 6\textbf{u} = 8\langle 0,8\rangle + \langle -4,6\rangle - 6\langle 4,-2\rangle = \langle 0,64\rangle + \langle -4,6\rangle + \langle-24, 12 \rangle = \langle 0-4-24, 64+6+12 \... | HuggingFaceTB/finemath | |
Crisp relation is defined over the cartesian product of two crisp sets. Suppose, A and B are two crisp sets. Then Cartesian product denoted as A×B is a collection of order pairs, such that
A × B = { (a, b) | a ∈ A and b ∈ B }
Note:
A × B ≠B × A
|A × B| = |A| × |B|
A × B provides a mapping from a â... | HuggingFaceTB/finemath | |
1 00:00:17,070 --> 00:00:23,610 Hello, in the last class we have discussed some general methods for stability aspects 2 00:00:23,610 --> 00:00:27,740 of multi step method. So, for example schur criterion 3 00:00:27,740 --> 00:00:32,480 we have discussed. So, given a multi step method, how to find out the stability 4 00... | HuggingFaceTB/finemath | |
# .
In the mathematical field of topology, a homeomorphism or topological isomorphism or bicontinuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preser... | HuggingFaceTB/finemath | |
# Discussion of Question with ID = 101 under Missing-Numbers
## This is the discussion forum for this question. If you find any mistakes in the solution, or if you have a better solution, then this is the right place to discuss. A healthy discussion helps all of us, so you are requested to be polite and soft, even if ... | HuggingFaceTB/finemath | |
Question: A Helicopter is equipped with three engines that operate independently. The probability of an engine failure is 0.01. What is the probability of successful fight if only one engine is needed for the successful operation of the aircraft?
Solution:
Since the flight is unsuccessful only when all the three engi... | HuggingFaceTB/finemath | |
Question
# Find the value of $1\text{ + 222 }\div \text{ 20 + 4444 }\div \text{ 400}$.
\begin{align} & 1\text{ + 222 }\div \text{ 20 + 4444 }\div \text{ 400} \\ & =\text{ 1 + }\dfrac{222}{20}\text{ + }\dfrac{4444}{400} \\ & =\text{ 1 + 11}\text{.1 + 11}\text{.11} \\ & \text{= 13}\text{.21} \\ \end{align}
\begin{align... | HuggingFaceTB/finemath | |
# Problem: Size an Air Compressor and Receiver A company has a machine that uses 50 cfm at 100 psi. Size an air compressor in SCFM that will have a duty cycle of 40%. Then size an air receiver in gallons that would supply that SCFM for three (3) minutes with the pressure dropping from 100 psi to 80 psi.
##### Find Out... | HuggingFaceTB/finemath | |
Ë
Modulus of elasticity, also know as "young's modulus," is a metric that represents a material's resistance to being deformed elastically. Throughout the site we use the terms "high modulus" and "low modulus" frequently to describe a cured polymer adhesive product. This post is dedicated to spelling out exactly what ... | HuggingFaceTB/finemath | |
What is 914 tenths?
914 tenths could be used to describe time, distance, money, and many other things. 914 tenths means that if you divide something into ten equal parts, 914 tenths is 914 of those parts that you just divided up. We converted 914 tenths into different things below to explain further: 914 tenths as a ... | HuggingFaceTB/finemath | |
Build a Better Process
# Portfolio Risk Definition, Calculation and Quiz
Few people truly understand the complexities of portfolio risk, and this presents a career opportunity.
1. Define - Define investment portfolio risk.
2. Context - Use portfolio risk in a sentence.
3. Quiz - Test yourself. by Paul Alan Davis, CF... | HuggingFaceTB/finemath | |
# RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm.
Result
c = 13 cm
a = 12 cm
b = 5 cm
#### Solution:
Checkout calculation with our calculator of quadratic equations.
Try calculation via our triangle calculator.
Leave us a comment of example ... | HuggingFaceTB/finemath |
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