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# 30 Basic Simulations
Random numbers have many applications in science and computer programming, especially when there are significant uncertainties in a phenomenon of interest. In this tutorial we’ll look at a basic problem that involves working with random numbers and creating simulations.
More specifically, let’s... | HuggingFaceTB/finemath | |
1. Resources Home
2. High School
3. Math
5. Normal distribution
S2 Notes and Examples
You will receive a student booklet with gaps for the solutions to the examples to be filled in and a teacher’s booklet with detailed worked solutions.
S1 Notes and Examples
You will receive a student booklet with gaps for the solu... | HuggingFaceTB/finemath | |
# 2.4 Constant acceleration (Page 4/4)
Page 4 / 4
$\begin{array}{l}{\mathbf{r}}_{1}=0\\ ⇒\Delta \mathbf{r}={\mathbf{r}}_{2}-{\mathbf{r}}_{1}={\mathbf{r}}_{2}=\mathbf{r}\phantom{\rule{2pt}{0ex}}\left(\mathrm{say}\right)\end{array}$
In this case, both final position vector and displacement are equal. This simplifica... | HuggingFaceTB/finemath | |
# New mental arithmetic techniques/tricks AMARNATH MURTHY CHIEF ENGINEER (ELEX & TELCOM) ONGC, AHMEDABAD, INDIA
Fifth root of a 10 digit numbers which are perfect fifth powers. First we have to list and memorise the fifth power of numbers from 1 to 9. 1 , 32, 243, 1024, 3125, 7776, 16807, 32768, 59049
The beauty is t... | HuggingFaceTB/finemath | |
## Cot (A-B)/2 given Tan C/2 Solution
STEP 0: Pre-Calculation Summary
Formula Used
Cot (A-B)/2 = ((Side A of Triangle+Side B of Triangle)/(Side A of Triangle-Side B of Triangle))*Tan (C/2)
cot(A-B)/2 = ((Sa+Sb)/(Sa-Sb))*tan(C/2)
This formula uses 4 Variables
Variables Used
Cot (A-B)/2 - Cot (A-B)/2 is the value of the... | HuggingFaceTB/finemath | |
Latest Teaching jobs » Maths Pedagogy Questions for CTET Exam...
# Maths Pedagogy Questions for CTET Exam :5th April 2019(Solutions)
Dear Students!!! There is most general as well as a scoring section in all the competitive entrance examinations in the teaching field i.e “Mathematics”.Because in this section only... | HuggingFaceTB/finemath | |
# Question #b8a3e
Oct 7, 2016
${K}_{2} C {r}_{2} {O}_{7}$
#### Explanation:
Assume you have 100g of the compound.
$M a s s \left(K\right) = 26.57 g$
$M a s s \left(C r\right) = 35 g$
$M a s s \left(O\right) = 38.07 g$
To find the chemical formula, we need to convert mass to moles, and we can do this using the mola... | HuggingFaceTB/finemath | |
# Area Of A Quadrilateral - Definition with Examples
The Complete K-5 Math Learning Program Built for Your Child
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## What is Area of a Quadrilateral?
A quadr... | HuggingFaceTB/finemath | |
An initial population of 750 endangered turtles triples each year. What will the population of turtles be after 5 years?
Question
An initial population of 750 endangered turtles triples each year. What will the population of turtles be after 5 years?
in progress 0
3 weeks 2022-01-06T22:41:31+00:00 2 Answers 0 views ... | HuggingFaceTB/finemath | |
# How do you simplify (5a)^-2?
Jul 24, 2017
$\frac{1}{25 {a}^{2}}$
#### Explanation:
$\text{using the "color(blue)"laws of exponents}$
•color(white)(x)(ab)^n=a^nb^n
•color(white)(x)a^-nhArr1/a^n
$\Rightarrow {\left(5 a\right)}^{-} 2$
$= {5}^{-} 2 \times {a}^{-} 2$
$= \frac{1}{5} ^ 2 \times \frac{1}{a} ^ 2 = \f... | HuggingFaceTB/finemath | |
• :00Days
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Expert-verified Found in: Page 412 ### Physics Principles with Applications
Book edition 7th
Author(s) Douglas C. Giancoli
Pages ... | HuggingFaceTB/finemath | |
# Ohms to Megaohms Conversion
## You are currently converting Electric Resistance units from Ohms to Megaohms
1 Ohms (Ω)
=
1.0E-6 Megaohms (MΩ)
Enter the number of Ohms(Ω) to convert into Megaohms(MΩ).
Ohms(Ω) Value:
Results in Megaohms(MΩ):
1 (Ω) = 1.0E-6 (MΩ)
Do you want to convert Megaohms to Ohms?
How to ... | HuggingFaceTB/finemath | |
# Does the number of samples matter for FFT, and how to get a specific frequency visible?
If I have a signal that has 740 samples, the sampling frequency is 1000 Hz, and I take an FFT of length 1024, are the frequencies I get now 0, fs/1024, 2*fs/1000, ..., 511*fs/1024? I mean, do I get this correctly: the frequency r... | HuggingFaceTB/finemath | |
# Texas Go Math Grade 8 Module 13 Quiz Answer Key
Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 8 Module 13 Quiz Answer Key.
## Texas Go Math Grade 8 Module 13 Quiz Answer Key
Texas Go Math Grade 8 Module 13 Ready... | HuggingFaceTB/finemath | |
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Geometry Problem
0
495
4
In rectangle ABCD, AD = 1, P is on AB, and DB and DP trisect angle ADC. Write the perimeter of triangle BDP in simplest form as: w+(x*sqrt(y))/z, where w, x, y, z are positive integers. What is w + x + y + z? Jan 31, 2018
#1
+4 DB and DP trisect angle ADC, so m∠ADP = m∠PDB = m∠BD... | HuggingFaceTB/finemath | |
Problem 1.
Problem 1 (5 points) Let $A \subset \mathbb{R}$ be a bounded non-empty set, and let $B:={|x|: x \in A}$. Prove that
$$\sup B-\inf B \leq \sup A-\inf A$$
(Hint: Find some $|x|$ close to $\sup B$ and some $|y|$ close to $\inf B$, then use the reverse triangle inequality.)
Problem 2.
Problem 2 (4 points each... | HuggingFaceTB/finemath | |
:: ::
Wait... an article about how to calculate vertex normals for a mesh? This is very easy right? Yes, but let's say you want high quality normals at faster speed than usual implementations, with a more compact code too. Ok, then this very short article is for you! I invented this little mehotd around 2004 and I'... | HuggingFaceTB/finemath | |
1 January 2022
# Robot Archery
Original problem
Happy New Year!
Jane Street had a doozy of a December problem, which is linked above. It had some similarity to the August problem, involving robots, probability and differential equations.
In this month's archery contest, four identical robots take turn to strike a ... | open-web-math/open-web-math | |
Circular Motion vs. Spinning Motion
Difference Between Circular Motion and Spinning Motion
When a body moves in a path in such a way that each point in its path is at a distance equal to a fixed point called the center of the path, we say that the movement is circular motion. Man realized the importance of this motio... | HuggingFaceTB/finemath | |
# Men, women and children
On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
z = 12
### Step-by-step explanation:
60d + 150m + 150z = 4200
m = 2k
z = 3k
d= 5k
60•d + 150•m + 150•z = 4200
m = 2•... | HuggingFaceTB/finemath | |
# Count Hours Calculator
Reviewed by Steven Wooding
Last updated: Sep 07, 2023
Do you need a count hours calculator to help you figure out the total number of hours you have worked over the last week or month? Or are you looking to lose weight and wish to calculate the total number of hours spent exercising? Whatever... | HuggingFaceTB/finemath | |
Tuesday, June 6, 2023
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# How to determine the waterline from the inside of a sailboat?
As a sailor, it’s important to understand the waterline of your sailboat. The waterline is the point where the boat meets the water, and it plays a critical role in the boat’s stability and speed. Determining the waterline from... | HuggingFaceTB/finemath | |
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# Experiment #5 - PowerPoint PPT Presentation
Experiment #5. Avagadro’s Number 6.02 x 10 23 And The Standard Deviation x S. Introduction. Purpose : Relate a gram formula weight to Avogadro’s number by using the dimensional analysis approach and determine the correct number of significant figures in your appl... | HuggingFaceTB/finemath | |
# Differentiate (4sinx)(cosy)=1
. differentiate (4sinx)(cosy)=1 w.r.t x and fine dy/dx
Im stuck here
(4cos x)(cos y)+ (4sin x)(-sin dy/dx[y])
Related Calculus and Beyond Homework Help News on Phys.org
Differentiating (4sinx)(cosy)=1 w.r.t. x:
4cos(x)cos(y)-4sin(x)sin(y)*dy/dx = 0 since the derivative of 1 is a co... | HuggingFaceTB/finemath | |
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# Arg max
(Redirected from Argmax)
In mathematics, arg max stands for the argument of the maximum, that is to say, the set of points of the given argument for which the given function attains its maximum value.[note 1]
## Definition
The arg max is defined by
$\operatorname*{arg\,max}_x f(x) := \{x \mid \forall y :... | HuggingFaceTB/finemath | |
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# B M A T 2008 watch
1. a massive mix of numbers!
2. (Original post by x-x-Princess Siobhan-x-x)
lol yeah but thats cool.
thankyou for the doctor comment btw! hopefully we'll both get where we want! you finding the BMAT alrite? i cannot write an essay to save my life lol
interpersonal s... | HuggingFaceTB/finemath | |
# Suppose-you-have-a-one-year-zero-coupon-bond-with-a-rate-of-r1-and-a-two-year-bond-with-an-annual-coupon-payment-of-C-
Complete Problem 31 of Chapter 10 (shown below), and submit your work to your instructor. Show your calculations and the algebraic manipulation of the price equation for the bond.
In addition to s... | HuggingFaceTB/finemath | |
# Linear Equations in two variables-MCQ
MULTIPLE CHOICE QUESTIONS
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
1. Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of student... | HuggingFaceTB/finemath | |
# The relationship between function and curve and equation The curve must be an equation? The equation must be a curve? A function must be an equation? A function must be an equation?
## The relationship between function and curve and equation The curve must be an equation? The equation must be a curve? A function mu... | HuggingFaceTB/finemath | |
# Comparing And Contrasting Linear Functions & Quadratic Functions Andrea Flick
Get Started. It's Free Comparing And Contrasting Linear Functions & Quadratic Functions ## 1. A quadratic function is any function that can be written in the form y=ax^2+bx+c
### 1.2. In quadratic functions, the graph is a parabola which i... | HuggingFaceTB/finemath | |
Working with Roots in Algebra
# Working with Roots in Algebra
GCSE(F), GCSE(H),
There are several ways to work out roots algebraically:
• rearrange as factors; (Factorising)
• the quadratic formula x = frac(-b +- √(b^2 - 4ac))(2a); (Quadratic Formula)
• complete the square; (Completing the Square)
• deduce itera... | HuggingFaceTB/finemath | |
# Into Math Grade 4 Module 20 Lesson 2 Answer Key Compare Metric Units of Length
We included HMH Into Math Grade 4 Answer Key PDF Module 20 Lesson 2 Compare Metric Units of Length to make students experts in learning maths.
## HMH Into Math Grade 4 Module 20 Lesson 2 Answer Key Compare Metric Units of Length
I Can r... | HuggingFaceTB/finemath | |
Learn
We’ll come back to the music dataset in a bit, but let’s first practice on a small dataset.
Let’s begin by finding the second quartile (Q2). Q2 happens to be exactly the median. Half of the data falls below Q2 and half of the data falls above Q2.
The first step in finding the quartiles of a dataset is to sort ... | HuggingFaceTB/finemath | |
# Finding the speed's dependence on angle θ
## Homework Statement
Find v(θ), the dependence of the speed of the object on the angle θ. The string is ideal and there's no friction.
-
## The Attempt at a Solution
I'm quite sure I should use the conservation of energy mgh = mv2/2, but I don't know how to express h wi... | HuggingFaceTB/finemath | |
# The sum of all even numbers between 1 and 55 is
1. 756
2. 728
3. 702
4. None of the above
Option 1 : 756
## Detailed Solution
Formula used:
Sum of n terms of an AP = (n/2) [a + l] = (n/2) [2a + (n - 1)d]
Where n = number of terms, d = Common difference, l = Last term, and a = first term
Calculation:
Even numb... | HuggingFaceTB/finemath | |
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#### Thank you for using the timer - this advanced tool can estimate your performance and su... | HuggingFaceTB/finemath | |
Constructions. In order to create an angle bisector, how many straight lines do you need to draw after setting up your problem using geometric construction? 4.3 Triangles . Each page has a link to an interactive demonstration of the relevant construction. In addition to constructions, we will also explore geometry in t... | open-web-math/open-web-math | |
2
by karthik13
2015-12-30T11:12:25+05:30
False..
frnd consider the givn Quadratic equation...
8x2 - 2x -1 = 0
by splitting the middle term,
8x2 -4x + 2x -1 = 0
4x(2x-1)+1(2x-1)=0
(4x+1)(2x-1)=0
if 4x+1 =0
THEN , x = -1/4
if 2x-1 =0
then, x = 1/2
therefore, x = -1/4 , 1/2
so the givn equation has integral coefficients... | HuggingFaceTB/finemath | |
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By Lithium | Published Jan 11 2001 12:05 PM in Math and Physics
value plane shading light dot distance word product falloff
If you find this article contains errors or problems rendering it unreadable (missing images or files, mangled code, improp... | HuggingFaceTB/finemath | |
# How do you solve rational equations 2/(3x+1) = 1/x - (6x)/(3x+1)?
Dec 14, 2015
$x = \frac{1}{2}$
#### Explanation:
1) Check when the equation is defined
First of all, bear in mind that your equation is not defined if any denominator is equal to zero.
Thus, let's first compute which values for $x$ are possible:
... | HuggingFaceTB/finemath | |
# Why is voltage added when batteries are connected in series but not in parallel?
As I understand, the different voltage between two object is caused by the total different charged between two object. Thus, the higher extra electron between two opposite charged object, the higher voltage between them, isn't it? So if... | HuggingFaceTB/finemath | |
# How does Gazebo compute the friction between two surfaces?
The friction is defined for a pair of surfaces. For example the rubber on asphalt. In Gazebo, however, we define a parameter 'friction' is set for each link. So suppose there is an object with surface friction mu set to 0.5 put on a ground with a friction co... | HuggingFaceTB/finemath | |
What is 15 percent of 61? Here we will show you how to calculate 15 percent of 61 (15% of 61). We start by making an equation. 15 percent of 61 is the same as 15 per hundred of 61. We can therefore make the following equation:
15/100 = A/61
To solve the equation above for A (Amount), we first switch the sides to get ... | HuggingFaceTB/finemath | |
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# Triangle Inequality
0
15
1
+1341
All the sides of a triangle have integer length. The perimeter of the triangle is 5 and the triangle is isosceles. How many such non-congruent triangles are there?
Jan 15, 2024
#1
+293
+1
All the sides of a triangle have integer length. The perimeter of the triangle is 5 and ... | HuggingFaceTB/finemath | |
Search What is?:
# What is PERMUTATION AND COMBINATION EXAMPLES?
Combinations and Permutations What's the Difference? In English we use the word "combination" loosely, without thinking if the order of things is important. ... (Another example: 4 things can be placed in 4! = 4 × 3 × 2 × 1 = 24 different ways, ...
http... | HuggingFaceTB/finemath | |
# Why is Transitivity necessary in the definition in the definition of an order on a set?
In Rudin, Principles of Mathematical Analysis (ed. 3), he provides the following definition (pp. 3)
Definition: Let $S$ be a set. An order on $S$ is a relation, denoted by $<$, with the following two properties:
(1) If $x \in S... | HuggingFaceTB/finemath | |
# Tag Info
0
Let me Google that for you ... http://en.wikipedia.org/wiki/Merge_sort#Analysis
1
Intuitive Algorithm assuming matrix is completely monotonic: Search along diagonal starting from (1,1). 1 worst case: exactly N comparisons number will be between two kitty corner numbers on the diagonal (i,i) and (i+1, i... | open-web-math/open-web-math | |
Orleans
Districts Schools 2021 Item by Item Results for GRADE 04 MATHEMATICS
Number of Students Included: 35 Participation Rate = 100%
Orleans - GRADE 04 MATHEMATICS ITEM INFORMATION PERCENT OF DISTRICT'S POSSIBLE POINTS ITEM TYPE REPORTING CATEGORY STANDARD ITEM DESC POSSIBLE POINTS ORLEANS STATE DISTRICT-STAT... | HuggingFaceTB/finemath | |
Math equations
## Block Equations
$$[ x^n + y^n = z^n ]$$
$$\displaystyle \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }(ϕ5−ϕ)e52π1=1+1+1+1+1+⋯e−8πe−6πe−4πe−2π$$
$$\displaystyle \left( \sum_{k=... | HuggingFaceTB/finemath | |
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# Two Questions:Thanks So Much
0
279
1
1.
What effect does replacing x with x + 2 have on the graph for the function f(x)?
f(x)=|x−3|+2
The graph is shifted 2 units right.
The graph is shifted 2 units down.
The graph is shifted 2 units left.
The graph is shifted 2 units up.
2.
Which quadratic function bes... | HuggingFaceTB/finemath | |
279 resources
See Units
Answers and Review for Multiple Choice Practice on Applications of Integration
⛔STOP!⛔ Before you look at the answers make sure you gave this practice quiz a try so you can assess your understanding of the concepts covered in unit 8. Click here for the practice questions: AP Calculus Unit 8 Mu... | HuggingFaceTB/finemath | |
# Money and Banking, v. 1.1
by Robert E. Wright and Vincenzo Quadrini
## 4.3 Compounding Periods
### Learning Objective
1. If interest compounds other than annually, how does one calculate PV and FV?
Interest does not always compound annually, as assumed in the problems already presented in this chapter. Sometimes... | HuggingFaceTB/finemath | |
102 views
$R$ and $S$ are two relations on a set $A$
\begin{align*} M_R = \begin{bmatrix} 1 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \\ \end{bmatrix} \qquad M_S = \begin{bmatrix} 0 & 1 & 1 \\ 0 & 1 & 0 \\ 1 & 1 & 0 \\ \end{bmatrix} \end{align*}
Then matrices for $R \cap S$ and $R \cup S$ ?
edited | 102 views
And & Or respec... | HuggingFaceTB/finemath | |
# Coin problem
• Jan 20th 2009, 04:47 PM
tmac11522
Coin problem
The value (in cents) of the change in a purse that contains twice as many nickels as pennies, four more dimes than nickels, and as many quarters as dimes and nickels combined; p = number of pennies?
• Jan 21st 2009, 01:20 AM
Coin problem
Hello tmac11522
Q... | HuggingFaceTB/finemath | |
Examples of Functional Operators - Maple Programming Help
Home : Support : Online Help : Applications and Example Worksheets : Symbolic Calculations : examples/functionaloperators
Examples of Functional Operators
A functional operator in Maple is a special form of a procedure. Functional operators are written using ... | HuggingFaceTB/finemath | |
# Wishart Distribution: Basic Definition, Uses
## What is the Wishart Distribution?
The Wishart distribution is one of the more complicated distributions in statistics, partly because there are many ways to define it. First of all, the simplest definition: it is the multivariate counterpart of a chi-squared distribut... | HuggingFaceTB/finemath | |
## 557702
557,702 (five hundred fifty-seven thousand seven hundred two) is an even six-digits composite number following 557701 and preceding 557703. In scientific notation, it is written as 5.57702 × 105. The sum of its digits is 26. It has a total of 4 prime factors and 16 positive divisors. There are 256,128 positi... | HuggingFaceTB/finemath | |
# Lyapunov exponent of the logistic map (Mathematica Code)
In a previous post I’d shown a way to get the Lyapunov exponent from the time series data of any map. In this quick tutorial, I’ll show you a cleaner way to get the Lyapunov exponent for the specific case of the logistic map, and then using a really short scri... | HuggingFaceTB/finemath | |
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# Math
0
306
2
A woman wants to park her 15 foot long car in a garage that is 19 feet long. How far from the front of the garage will her front wheels need to be so that the car is centered on the floor of the garage?
Aug 5, 2018
#1
0
19 - 15 = 4 feet - extra space that garage has
4 / 2 = 2 feet - her ... | HuggingFaceTB/finemath | |
# Why can I apply $HS^\dagger$ and then measure in the computational basis to measure $Y$?
I come from a CS background
I was reading Neven and Farhi's paper ("Classification with Quantum Neural Networks on near Term Processors"), and I am trying to implement the subset parity problem using Qiskit, and solve it using ... | open-web-math/open-web-math | |
# 211360 (number)
211,360 (two hundred eleven thousand three hundred sixty) is an even six-digits composite number following 211359 and preceding 211361. In scientific notation, it is written as 2.1136 × 105. The sum of its digits is 13. It has a total of 7 prime factors and 24 positive divisors. There are 84,480 posi... | HuggingFaceTB/finemath | |
# An object with a mass of 120 g is dropped into 800 mL of water at 0^@C. If the object cools by 30 ^@C and the water warms by 5 ^@C, what is the specific heat of the material that the object is made of?
Jan 20, 2018
1.11 Calorie $g {m}^{-} 1 {C}^{-} 1$
#### Explanation:
Given,volume of water $800 m l$,we know dens... | HuggingFaceTB/finemath | |
Significant figures pdf notes
Rounding off significant figures is useful because it helps us simplify complex calculations. Therefore, you will simply drop every figure after the fourth, and the original number rounds off to 62. I introduce parts of significant figures gradually while students take notes and then perf... | HuggingFaceTB/finemath | |
Multiples of 919 Welcome to the Multiples of 919 page. Here we will first teach you everything you will ever need to know about the multiples of 919, and then give you a study guide summary of everything we taught you to make sure you remember it all. Use this page to look up facts and learn information about the multi... | HuggingFaceTB/finemath | |
# Solve system of 2 equations with 3 unknowns
2019-10-21 14:08
Get the free 3 Equation System Solver widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in WolframAlpha.Using Matrix Elimination to Solve Three Equations with Three Unknowns Here we will be learning how to use Ma... | HuggingFaceTB/finemath | |
# Transforming a time series
I have a time series that displays time varying volatility how would I take this time series an turn it into a more stationary process this is what the time series looks like , if one can provide r code to help me our that would be really helpful as well
• what is it a time series of Sep ... | HuggingFaceTB/finemath | |
# Basic concepts
Martijn Wieling
University of Groningen
## This lecture
• Descriptive vs. inferential statistics
• Sample vs. population
• (Types of) variables
• Distribution of a variable: central tendency and variation
• Standardized scores
• Checking for a normal distribution
• Reasoning about the population usi... | HuggingFaceTB/finemath | |
# What shall be the quantity of masonry required for a wall of 1 m × 2 m × 0.3 m?
Free Practice With Testbook Mock Tests
## Options:
1. 0.2 cubic m
2. 0.6 cubic m
3. 600 cubic m
4. 0.06 cubic m
### Correct Answer: Option 2 (Solution Below)
This question was previously asked in
PSSSB Jr. Draftsman Official Pape... | HuggingFaceTB/finemath | |
# Algebra
Factor by removing the common factor with the lesser exponent
2x(x-5)^-3 -4x^2(x-5)^-4
I don't really know how to do this.
The final answer I got is:
2x(2x^2-10x+1)
--------------
(x-5)^4
1. 👍
2. 👎
3. 👁
1. 2x(x-5)^-3(1-2x(x-5)^-1) =
2x/(x-5)^3 * (1-2x/(x-5)) =
2x/(x-5)^3 * ((x-5)/(x-5)-2x/(x-5) =
2x/(x-5... | HuggingFaceTB/finemath | |
# 9-6 X-box Factoring ax 2 +bx+c. X-box Factoring This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will learn how.
## Presentation on theme: "9-6 X-box Factoring ax 2 +bx+c. X-box Factoring This is a guaranteed method for factoring quadratic equations—no guessing necessary! We wi... | HuggingFaceTB/finemath | |
## Rings of integers
Hi professor,
I was just wandering in the 2007 paper when it says from first principles to determine the ring of algebraic integers in $Q[(103)^{1/2}]$, what this actually means, hope it doesn’t sound like a dumb question. Do we just bear in mind the definition of an algebraic integer and produce... | open-web-math/open-web-math | |
# Proof of Riemann Hypothesis
#### AplanisTophet
Consider the definition of a real number: it is a cut in the real number line. For any real radius around the origin, the real number line leaves that radius.
Ok, so if $x$ is a real radius that simply means $x$ is a real number, correct?:
$$x \in (0,\infty) \implies ... | HuggingFaceTB/finemath | |
# Part-timers 29421
The foreman harvested grapes for three days, a total of 2,510 kg. On the second day, they peeled 480 kilograms less than the first day, the third day, and 25% more than the first day. How many kilograms of grapes did the part-timers peel the next day?
b = 440 kg
### Step-by-step explanation:
a+... | HuggingFaceTB/finemath | |
# Serious math
Over the years, I feel like I’ve come to know you — your political leanings and life experiences, your writing style, sense of humor and average snark level. But what about your math skills?
For example: Can you (or any high school student you know) do this?
Show that there are only finitely many trip... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 16 Sep 2019, 09:57
### 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.
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How do you prove probability? [closed]
I have this thought that has bugged me for a couple of days and could not find any answers on the internet. I thought this would be the best place to consult.
How does one go about proving probability? My family members are frequent casino goers and I was thinking of a way to sh... | HuggingFaceTB/finemath | |
WhatProblem - Maple Help
Student[Calculus1]
WhatProblem
get the problem number of the current Calculus1 problem
Calling Sequence WhatProblem()
Description
• The Calculus1 package maintains an internal table of problems that have been worked on (step by step) in the current session. This table is not directly ... | HuggingFaceTB/finemath | |
# Number 422
### Properties of number 422
Cross Sum:
Factorization:
2 * 211
Divisors:
1, 2, 211, 422
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):
1a6
Base 32:
d6
si... | HuggingFaceTB/finemath | |
finalreview
# finalreview - Final Exam Checklist Math 111 College Algebra...
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# True distance in Astronomy
1. Sep 26, 2012
### ltjrpliskin
1. The problem statement, all variables and given/known data
"Parallaxes are measured relative to background stars. If these are not infinitely distant
themselves, then the parallax to the foreground object will be underestimated
and its distance will be ... | HuggingFaceTB/finemath | |
In you case, to find the angle $\theta$ you can do the following : when finding $\cos x$, apply $\arccos$ to find an angle $\phi$. The vector equation of the line is given by = + λ and the vector equation of the plane can be given by = d Let θ be the angle between the line and the normal to the plane. Message received.... | HuggingFaceTB/finemath | |
Home Forums SOA Exams Life contingencies proofs, APVs
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• Author
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• #22821
Richard Purvey
Participant
Actuarial Life Contingencies, Proofs of the Relationships Between Life Insurance APVs and Life Annuity APVs
Given that:
apv_(x)_n_death benefit of 1 payable instantly on death = integ... | HuggingFaceTB/finemath | |
# If Sin 2a = λ Sin 2b, Then Write the Value of λ + 1 λ − 1 - Mathematics
Sum
If sin 2A = λ sin 2B, then write the value of $\frac{\lambda + 1}{\lambda - 1}$
#### Solution
Given:
sin 2A = λ sin 2B
$\frac{\lambda + 1}{\lambda - 1}$
$\Rightarrow \frac{\sin2A + \sin2B}{\sin2A - \sin2B} = \frac{\lambda + 1}{\lambda - ... | HuggingFaceTB/finemath | |
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A103318 Number of solutions i in range [0,n-1] to i == 0 mod 2^(n-i). 5
1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 1, 2, 2, 3, 2, 2,... | HuggingFaceTB/finemath | |
2019-10-16
## How many non-collinear points Does a plane have?
three non-collinear points
A plane contains at least three non-collinear points.
Is a plane non-collinear?
A plane is a flat surface that extends infinitely in all directions. Given any three non-collinear points, there is exactly one plane through them... | HuggingFaceTB/finemath | |
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e120 Pratice Midterm Solution
# e120 Pratice Midterm Solution - E120 Practice Midterm...
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E120 Practice Midterm Solution Summer, 2008 Question 1 APR = 12% compounded monthly monthly interest rate is ... | HuggingFaceTB/finemath | |
Likelihood computations and random numbers
Maximum likelihood estimation in a simple case
Let's reconsider the flux measurements in the gamma ray burst dataset.
``` grb <- read.table
("http://astrostatistics.psu.edu/datasets/GRB_afterglow.dat",
flux <- grb[,2]
hist(flux)
```
The histogram suggests that the univaria... | HuggingFaceTB/finemath | |
444 in Words
444 in words can be written as Four Hundred Forty-Four. If you spend Rs. 444 to buy a floor cleaner, then you can say that “I bought a floor cleaner for Four Hundred Forty-Four Rupees”. Make use of the numbers in words article to learn how numbers can be written in words using the English alphabet. Hence,... | HuggingFaceTB/finemath | |
1
### JEE Main 2019 (Online) 9th January Morning Slot
An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB = BC, and the angle made by AB with downward vertical is $\theta$, thrown : A
tan$\theta$ = ${1 \over {2\sqrt 3 }}$
B
tan$\theta$ = ${1 \over 2}$
C
... | HuggingFaceTB/finemath | |
Currently viewing Vol. 3 • Issue 2 • 2016
# Can We Measure Our Age in dB? … You Must Be Kidding? No, we are not kidding! But why can’t we measure our age, weight, or height, in decibels?
When we know an age, it is measured in terms of time, generally in years. A year is a unit of time as are hours, minutes, and secon... | HuggingFaceTB/finemath | |
# The diagonal of rectangle ABCD is 20. The angle between the diagonals is 45 degrees. Find the area of the ABO triangle.
Since ABCD is a rectangle, its diagonals are equal and are divided in half at the point of their intersection.
AC = BD = 20 cm.
AO = ОВ = OC = ОD = АС / 2 = 20/2 = 10 cm.
In the triangle AOB, th... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A062254 3rd level triangle related to Eulerian numbers and binomial transforms (A062253 is second level, triangle of Eulerian numbers is first level and triangle with Z(0,0)=1 and Z(n,k)=... | HuggingFaceTB/finemath | |
# Binomial Expansion and Coefficients - Revision Notes
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In addition to the revision notes for Binomial Expansion and Coefficients on this page, you can also access the following Sequences and Series learning resources for ... | HuggingFaceTB/finemath | |
## 20170929
### Physics presentation: impulse and momentum Whuuuuuuut. (Video link: "bowling strike with a ping pong ball.") In this presentation we will introduce another new connection between forces and motion, in terms of how the net force can exert an impulse on an object in order to change its momentum. This is ... | HuggingFaceTB/finemath | |
# Dividing with Exponents
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Dividing with exponents involves simplification of exponents using the rule of exponents. Most of problems in mathematics deal with exponent... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
1st number: 4 0/15, 2nd number: 24/90
60/15 + 24/90 is 64/15.
1. Find the least common denominator or LCM of the two denominators:
LCM of 15 and 90 is 90
2. For the 1st fraction, since 15 × 6 = 90,
60/15 = 60 × 6/15 × 6 = 360/90
3. Likewise, for the 2nd fraction, since 90 × 1 = 9... | HuggingFaceTB/finemath | |
# What is VGS and VT?
## What is VGS and VT?
Linear (Vgs > Vt and Vds < Vgs – Vt) — Current flows from drain to source. The amount of current is roughly proportional to both Vgs and Vds. The MOSFET acts like a voltage-controlled resistor. This region is used for switching. Saturation (Vgs > Vt and Vds > Vgs – Vt) — c... | HuggingFaceTB/finemath | |
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# A starship voyages to a distant planet 10 ly away. The explorers stay 1 yr, return at the same speed, and arrive back on earth26 yr after they left. Assume that the time needed to accelerate and decelerate is negligible.a. ... | HuggingFaceTB/finemath | |
How To Figure A Diameter From A Circumference?
The formula for finding out the circumference of a circle is:
Circumference = 2(pi x r)
Where r is the radius.
Now, the value of pi is always taken as 3.14. If we have the value of the circumference, we can find the value of the radius.
Let's suppose that the circumferenc... | HuggingFaceTB/finemath |
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