question stringlengths 200 50k | answer stringclasses 1
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# Generating combinations (subsets) using bitwise operations The idea behind this algorithm is to mask the positions in an array using bitmask and select only the unmasked numbers. You will notice that each mask (bit combination) is unique, and the number of mask(s) is equal to 2n, ‘n’ being the number of elements in t... | HuggingFaceTB/finemath | |
A lower standard deviation isn't necessarily preferable. For example, a volatile stock has a high standard deviation, while the deviation of a stable blue-chip stock is usually rather low. Returns for Apple’s stock were 12.49% for 2016, 48.45% for 2017, -5.39% for 2018, 88.98% for 2019 and, as of Sep., 60.91% for 2020.... | HuggingFaceTB/finemath | |
Home » What Times What Equals 200? Update New
# What Times What Equals 200? Update New
Let’s discuss the question: what times what equals 200. We summarize all relevant answers in section Q&A of website Countrymusicstop.com in category: MMO. See more related questions in the comments below.
## What do you multiply t... | HuggingFaceTB/finemath | |
# How to make a NFA (or DFA) from $\varepsilon$NFA?
I need to build a DFA from $$\varepsilon$$NFA, so first of all I assume that I need to convert the $$\varepsilon$$NFA to NFA and then to DFA (because I know the method of converting from NFA to DFA, and we learn how to remove $$\varepsilon$$'s from $$\varepsilon$$NFA... | HuggingFaceTB/finemath | |
# Order Property Of Multiplication
We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.
We also offer One to One / Group Tutoring sessions / Homew... | HuggingFaceTB/finemath | |
# UPTU Exam Paper, B-tech IV Sem Advance Surveying Paper 2006-07
UPTU B. Tech. (SEM. IV) EXAMINATION, 2006-07
Time : 3 Hours] [Total Marks : 100
Note : (1) Attempt all questions.
(1) Assume data suitably, if not given.
1 Attempt any four parts of the following : 5×4=20
... | HuggingFaceTB/finemath | |
## MA.1.M.1.1: Estimate the length of an object to the nearest inch. Measure the length of an object to the nearest inch or centimeter.
There are 53 resources.
Title Description Thumbnail Image Curriculum Topics
## Math Examples Collection: Measuring with Paper Clips
Overview This collection aggregates all the math ... | HuggingFaceTB/finemath | |
# Thread: An Integral Inequality #1
1. ## An Integral Inequality #1
Assume $\displaystyle f \in C^{(1)} ([0,1])$,and $\displaystyle f(0)=0,f(1)=1,$ then
$\displaystyle \int_0^1 |f(x)-f'(x)| dx \geq \frac{1}{e}$
thanks very much
2. Originally Posted by Xingyuan
Assume $\displaystyle f \in C^{(1)} ([0,1])$,and $\dis... | HuggingFaceTB/finemath | |
A (big) boat's instruments report the apparent wind speed and direction as well as the boat's speed through the water. A number of big boat skippers have asked me for a spreadsheet to "reverse" the normal calculation shown in text-books, of calculating the apparent wind given the true wind. They would like a spreadshee... | HuggingFaceTB/finemath | |
# Weighted test - make sure all questions can impact the result
I'm making a weighted test, i.e. a test with N yes/no questions where the score differs from question to question. For simplicity assume that the sum of all individual scores is 100 and assume the test is passed if the achieved score is 70 or more.
Now I... | HuggingFaceTB/finemath | |
## 3x + 80 = 12x – 1 what’s the value of x ?
Question
3x + 80 = 12x – 1
what’s the value of x ?
in progress 0
6 months 2021-07-20T12:20:15+00:00 1 Answers 6 views 0
9
Step-by-step explanation:
3x+80=12x-1
80=12x-3x-1
80=9x-1
9x=80+1
9x=81
x=81/9
x=9 | HuggingFaceTB/finemath | |
# Basic Subtraction Math Drill Worksheets
The math drill worksheets in the basic subtraction facts section cover subtraction facts practice, fixed subtrahends, subtraction under 20, circle drills, and missing minuend or subtrahend.
## Subtraction facts review tables
We start this section with subtraction facts revie... | HuggingFaceTB/finemath | |
Notion of convergence of equivalent norms is the same
I would like to make clear the proof for the following theorem which states that two norms over a vector space are equivalent iff their notion of convergence is the same.
I have an hint for the proof from the ($\Leftarrow$):
1)Define $F:X\rightarrow \mathbb{R},f\... | open-web-math/open-web-math | |
# why is the average of a set of numbers alway smaller than the largest number in the s
Printable View
• Oct 20th 2008, 04:20 PM
m3clubracer
why is the average of a set of numbers alway smaller than the largest number in the s
why is the average of a set of numbers alway smaller than the largest number in the set?
• ... | HuggingFaceTB/finemath | |
It is currently 14 Dec 2017, 15:00
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
we will pick new questions that match your level based o... | open-web-math/open-web-math | |
# What is the period of f(t)=sin( 11t)?
The period of sin (kt) is 2$\pi$/k. Answer: 2$\pi$/11.
x = Sin (t) graph is a series of continuous and periodic waves touching x - 1 and x = 1. The values repeat in an interval of 2$\pi$ for t, since sin (2$\pi$ + t ) = sin ( t ). Here, the period is shortened to 2$\pi$/11 due t... | HuggingFaceTB/finemath | |
# Banach space and its closed subspace. a vectors satisfying inequality.
V=a Banach space over R
W=a proper closed subspace of V
Prove : For any $\epsilon > 0$, there is a v $\in$_V_ such that ||v||=1 and ||v+w||$\geq$ $1$ - $\epsilon$
I have shown that there exists such v $\in$ V such that ||v||=$1$
But I am havi... | HuggingFaceTB/finemath | |
Scaling action and one parameter group action
Cosnider the following scaling action: $$\epsilon . x = e^{2\epsilon}x, \ \ \ \epsilon. y = e^{\epsilon}y.$$
I have to prove that this is a one paraemter group action. What does this mean? I can show that this is invariant under the scaling transformation i.e. scaling sym... | HuggingFaceTB/finemath | |
# Self referential puzzles - follow-up
https://puzzling.stackexchange.com/questions/23554/self-referential-puzzles made me wonder. How many solutions are there to the below box when multiple digits are allowed? I don't know the answer myself, so a good proof of your answer is appreciated. We're counting characters, so... | HuggingFaceTB/finemath | |
# Laplace Transform MCQ Quiz - Objective Question with Answer for Laplace Transform - Download Free PDF
Last updated on May 4, 2023
## Latest Laplace Transform MCQ Objective Questions
#### Laplace Transform Question 1:
The dynamics of a system is defined by the relation ẍ + 5ẋ + 6x = 10(1 - e-t). What will be the... | HuggingFaceTB/finemath | |
# Number 327
### Properties of number 327
Cross Sum:
Factorization:
3 * 109
Divisors:
1, 3, 109, 327
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:
a7
sin(32... | HuggingFaceTB/finemath | |
# ISA Interchange
Welcome to the official blog of the International Society of Automation (ISA).
This blog covers numerous topics on industrial automation such as operations & management, continuous & batch processing, connectivity, manufacturing & machine control, and Industry 4.0.
# AD Converters Quiz: convert an ... | HuggingFaceTB/finemath | |
Wednesday, December 23, 2015
[Pri_20151223WNSV] Unravelling Four Whole Numbers
Problem
If A, B, C and D are whole numbers such that A × B = 8, B × C = 28, C × D = 63, B × D = 36, find the values of A, B, C and D.
Introduction
This question seems to be taken from a secondary school textbook from a ... | HuggingFaceTB/finemath | |
# Placement Papers - Virtusa
## Why Virtusa Placement Papers?
Learn and practice the placement papers of Virtusa and find out how much you score before you appear for your next interview and written test.
## Where can I get Virtusa Placement Papers with Answers?
IndiaBIX provides you lots of fully solved Virtusa Pl... | HuggingFaceTB/finemath | |
## Intermediate Algebra (12th Edition)
$\text{ NOT a function }\\\text{Domain: } (-\infty, 0] \\\text{Range: } (-\infty,\infty)$
$\bf{\text{Solution Outline:}}$ Use the vertical line test to determine if the given graph is a function. The domain is the set of $x$-values and the range is the set of $y$-values. $\bf{\te... | HuggingFaceTB/finemath | |
# Questions tagged [recurrence-relations]
Questions regarding functions defined recursively, such as the Fibonacci sequence.
8,797 questions
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### How to obtain a recurrence relation for Taylor series coefficients?
Recently, I asked WolframAlpha to give me the... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Divide 28/49 with 15/60
28/49 ÷ 15/60 is 16/7.
#### Steps for dividing fractions
1. Find the reciprocal of the divisor
Reciprocal of 15/60: 60/15
2. Now, multiply it with the dividend
So, 28/49 ÷ 15/60 = 28/49 × 60/15
3. = 28 × 60/49 × 15 = 1680/735
4. After reducing the frac... | HuggingFaceTB/finemath | |
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# Linear Programming (LP) is a mathematical optimization technique.
## By optimization technique, it refers to a method which attempts to
maximize or minimize some objective, for example, maximize profits
or minimize costs.
Linear programming is a subset of a larger area of
mathematical opti... | HuggingFaceTB/finemath | |
# Why can this likelihood be factored into a product of a marginal distribution and a conditional distribution?
From a paper I am reading, I do not think the meanings of the parameters matters here but I can edit if that's useful to know.
$L(\phi, \theta \mid n, \omega) = Pr(n \mid \phi,\theta)Pr(\omega \mid n, \phi,... | HuggingFaceTB/finemath | |
# How do you compute the P(x>y) for a joint density function in R?
I'm trying to understand the Bayesian AB testing process more thoroughly. If I have two tests such that the posteriors are: $$x\sim Beta(\alpha_1, \beta_1)$$ $$y\sim Beta(\alpha_2, \beta_2)$$
Where $x$ and $y$ are posterior distributions. Then the joi... | HuggingFaceTB/finemath | |
## What is… a variational principle?
Variational principles play fundamental role in much of mathematical physics and are a key topic in my own research. That’s a lot to cover, so let’s start with a little story.
## 1. An injured cow and the laws of physics
On the morning of a hot summer’s day, a farmer noticed that... | HuggingFaceTB/finemath | |
# An exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have?
$24$
The exterior angles of a polygon always add up to $360$ degrees.
Given this a regular polygon, all the angles are equal and all the sides are equal. The number of sides is therefore $\frac{360}{15} = 24$ | HuggingFaceTB/finemath | |
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# The pulley shown in figure has a moment of inertia I about its axis and mass m. Find the time period of vertical oscillation of its centre of mass. The spring has spring constant k and the string does not slip over the pulley.
A
2π(Ir2+m... | HuggingFaceTB/finemath | |
# Dosage Measurement System
Discuss the equivalent of:
SI system
1.1.1 SI Units of Length
Metric Length Equivalents
The conversion factor between meter and kilometer is 1000. 1 km = 1000 m
The conversion factor between meter and millimeter is 1000. 1 m = 1000 mm
The conversion factor betwe... | HuggingFaceTB/finemath | |
jkev1 3 years ago which is an equation for the line with slope 1/3 through (-2,1) ? a.y=1/3x+1 b.y=1/3x+5/3 c.y=1/3x-5/3 d.y=1/3x+1/3
1. jackellyn
(y-y1)=1/3(x-x1) y-(1)=1/3(x-(-2)) y-1 = 1/3(x+2) y-1=1/3x + 1/3(2) y-1 = 1/3x + 2/3 y= 1/3x + 2/3 +1 combine like terms and that is your answer @jkev1
2. jackellyn
what... | HuggingFaceTB/finemath | |
/* ## Most Noticeable Acceleration Physics
The typical acceleration over a period of time is understood to be the complete change in velocity in the particular interval divided by the overall time taken for the shift. The little DC offset has produced a substantial trend. Figure out the distance you travelled along ev... | HuggingFaceTB/finemath | |
# Homework Help: Differential equation
1. Jul 7, 2004
### denian
if y = e^(2x) . ( ax + b ), when a and b is constant find dy/dx and dee 2 y dee x squared.
i already find the answer for this part and it is correct.
dy/dx = e^(2x) . (2ax + 2b + a )
and
dee two y dee x squared is equal to
4e^(2x) . (ax + b + a )
thi... | HuggingFaceTB/finemath | |
Degree, Radian, and Arc Length
20 Q
10th
Radians and Arc Length
9 Q
10th - 12th
16.2 - Arc Length & Radian Measure
15 Q
10th - 12th
Radians, Degrees, and Arc Length
19 Q
10th - 12th
Radians, Arc Length and Sector Area
25 Q
9th - 10th
10 Q
10th - 12th
Unit Circle Quiz Practice
17 Q
10th
Math 3 Unit 6... | HuggingFaceTB/finemath | |
Quandaries and Queries I am Shruthi, studying 6th std. I have some doubts. If possible please clarify the following questions. 1. Write 31 using 3 five times 2. Write 100 using all the 10 digits just once 3. See the pattern and find the missing row of no’s 1=1=12 1+3 = 4 = 22 1+3+5 = 9 = 32 2 = 2=1x2 2+4 =6 = 2... | HuggingFaceTB/finemath | |
# Proof by induction (using base case and inductive step)
I'm struggling to write a proof for the following using proof by induction:
Let Y be a set of size $$i$$, where $$i ∈ ℕ$$. Prove: $$|\{X ⊆ Y: |X| = 2\}| = {i(i-1)\over 2}$$
How would I prove this using a base case and inductive step.
• I've removed the "proo... | HuggingFaceTB/finemath | |
# What does it mean by "not recursively enumerable"?
I came across following therem:
There exists a recursively enumerable language whose complement is not recursively enumerable.
Now, I know following definitions:
• Recognizable language is one which have one-to-one correspondence with the natural number with the ... | HuggingFaceTB/finemath | |
# January - March 2012
Feb 3, 2012 Ms. Jackson, Rm 206 Ms. Myneni, Rm 211
Find the Dimensions of a Cylinder Given the Surface Area or Volume SWBAT: Compute unknown dimensions of rectangles, circles, and rectangular prisms given area or volume with 80% accuracy. SWBAT: Compute unknown dimensions of cylinders given s... | HuggingFaceTB/finemath | |
Superposition Theorem This theorem is a very simple one. Suppose a branch of an electrical circuit is connected to numbers of voltag...
## Superposition Theorem
This theorem is a very simple one. Suppose a branch of an electrical circuit is connected to numbers of voltage and current sources. As we can consider elect... | HuggingFaceTB/finemath | |
# How do you find the derivative of f(x) = sin x + 1/2 cot x?
Jan 8, 2017
$f ' \left(x\right) = \cos x - \frac{1}{2} {\csc}^{2} x$
#### Explanation:
The terms in f(x) have $\textcolor{b l u e}{\text{standard derivatives}}$
$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a ... | HuggingFaceTB/finemath | |
+0
+1
563
1
+17
I have no idea:
David drove a distance (d) of 187km, to 3 significant figures. He used 28 litres of petrol (p), to 2 significant figures.
The petrol consumption (c) in km per litre is given by the formula: c= d/p
By considering bounds, work out the value of c, to a suitable degree of accuracy. You mu... | HuggingFaceTB/finemath | |
Question
# how to calculate 42*54 in vedic math
Open in App
Solution
## Dear Student 42*54 $42×54=_ _ _\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}⇒4×5=20\phantom{\rule{0ex}{0ex}}⇒write20inthefirstblank\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}⇒42×54=20 _ _\phantom{\rule{0ex}{0... | HuggingFaceTB/finemath | |
# 2.1 Force 1. A person is standin
Document Sample
``` 2.1 Force
1. A person is standing on a bathroom scale. Which of the following is not a force exerted on the scale: a
contact force due to the floor, a contact force due to the person’s feet, the weight of the person, the
weight of the scale?
2. Which ite... | HuggingFaceTB/finemath | |
Chapter 13. Electromagnetic Induction
### Learning Objectives
By the end of this section, you will be able to:
• Determine the magnetic flux through a surface, knowing the strength of the magnetic field, the surface area, and the angle between the normal to the surface and the magnetic field
• Use Faraday’s law to d... | HuggingFaceTB/finemath | |
# LeetCode 360. Sort Transformed Array
## Description
https://leetcode.com/problems/sort-transformed-array/
Given a sorted integer array `nums` and three integers `a``b` and `c`, apply a quadratic function of the form `f(x) = ax2 + bx + c` to each element `nums[i]` in the array, and return the array in a sorted orde... | HuggingFaceTB/finemath | |
# Maths - Cube Rotation
As an example of a permutation group (for an introduction to permutation groups see this page) we will look at a finite subset of the 3D rotation group SO(3), so we will look at all the rotation transforms of a cube that map it to itself. For information about 3D rotations see this page.
We ca... | HuggingFaceTB/finemath | |
# Posts Tagged formula
### ANNUITY AND ITS TYPES
Annuity:
An Annuity is a series of equal payments made at fixed intervals for a specified number of periods. These equal payments are denoted by the PMT and can occur at either the beginning or the end of each period. Future and Present Values of Annuity: Future Value... | HuggingFaceTB/finemath | |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Position and Displacement
## Factors related to physical quantities of motion.
Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial maste... | HuggingFaceTB/finemath | |
Explore BrainMass
# Difference Between Two Population Means
This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have be... | HuggingFaceTB/finemath | |
Question Video: Determining if Two Events are Independent | Nagwa Question Video: Determining if Two Events are Independent | Nagwa
# Question Video: Determining if Two Events are Independent Mathematics • Third Year of Secondary School
## Join Nagwa Classes
If π(π΄) = 0.3 and π(π΅) = 0.25 and π΄ β© π... | HuggingFaceTB/finemath | |
### Home > CCG > Chapter 5 > Lesson 5.1.3 > Problem5-29
5-29.
Solve the following equations for the given variable, if possible. Remember to check your answers.
1. $6x^2=150$
Isolate the $x^2$. There are two solutions to this equation.
1. $4m+3-m=3(m+1)$
All numbers, because the expressions on both sides are th... | HuggingFaceTB/finemath | |
# 1979 AHSME Problems/Problem 7
## Problem 7
The square of an integer is called a perfect square. If $x$ is a perfect square, the next larger perfect square is $\textbf{(A) }x+1\qquad \textbf{(B) }x^2+1\qquad \textbf{(C) }x^2+2x+1\qquad \textbf{(D) }x^2+x\qquad \textbf{(E) }x+2\sqrt{x}+1$
## Solution
Solution by e_... | HuggingFaceTB/finemath | |
# Sign for less than math game
Every mathematical symbol has its story and significance, and the less than sign is no exception. Fundamental to understanding numbers and comparisons, this sign serves as an essential guide for children beginning their journey into the world of mathematics. Let's explore the mysteries a... | HuggingFaceTB/finemath | |
DOW JONES, A NEWS CORP COMPANY
News Corp is a network of leading companies in the worlds of diversified media, news, education, and information services.
DOW JONES
NEWS CORP
Nikkei ▲ 22074.63 1.63% Hang Seng ▲ 31115.43 1.97% U.S. 10 Yr ▲ 0/32 yield 2.875% Crude Oil ▲ 62.50 1.33% Yen ▲ 106.31 0.03% DJIA ▲ 25219.38 0.08... | HuggingFaceTB/finemath | |
tabita57i
2020-11-11
Mixture or Alligation method of Quantitative AptitudeAlligation means linking. Today I'm going to discuss alligation method with you all. This is one of an important chapters of Quantitative exams. Basically, alligation is a rule that enables us to find the ratio of the quantities of the ingredie... | HuggingFaceTB/finemath | |
View Single Post 2014-04-10, 18:46 #16 tapion64 Apr 2014 5×17 Posts So I went ahead and read the algorithm and reasoning for why Atkin's works, and then I ignored all of that and just multiplied everything by 2 and sieved in respect to 120 instead of 60, taking out all numbers that weren't +/-1 mod 8. The result, sur... | HuggingFaceTB/finemath | |
Mathematics
Grade-4-
Easy
Question
# What is the 20th shape? The rule is “Circle, Square, Square.”
Hint:
## The correct answer is: Square
### The given pattern in words is Circle, Square, Square.We are asked to find the shape at the 20th place.The rule used to write the pattern is “Circle, Square, Square”A single ... | HuggingFaceTB/finemath | |
$\newcommand{\dollar}{\} \DeclareMathOperator{\erf}{erf} \DeclareMathOperator{\arctanh}{arctanh} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&}$
## Section3.1Using Derivatives to Identify Extreme Values
###### Motivating Questions
• What are the critical numbers of a function $f$ and how are they connec... | HuggingFaceTB/finemath | |
# Determining order of G and number of generators required.
Suppose that $G$ is a group with $g^2 = I$ for all $g \in G$. Show that $G$ is necessarily abelian. Prove that if $G$ is finite, then $|G| = 2^k$ for some $k>=0$ and $G$ needs at least $k$ generators.
Well for the first part - G has order two so it must be t... | HuggingFaceTB/finemath | |
# PROBLEMS ON TRAINS
Problems On Trains Fully solved questions with complete explanation for written test, interview, competitive exams and entrance test. This section is very useful for those who are preparing for competitive exams such as Written test of IT companies,Bank Exams, CAT Exams, GATE Exams, Railway Exams,... | HuggingFaceTB/finemath | |
HW #7 Solution!
# HW #7 Solution! - Problem 4.1 Consider a high-pressure...
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Unformatted text preview: Problem 4.1 Consider a high-pressure wellbore with a casing and tubing of dC ... | HuggingFaceTB/finemath | |
# Gym102956 partial solution
Keywords: gym
Take more.
Thank you@ hht2005 Help.
#### B. Beautiful Sequence Unraveling
Define a good sequence with a length of \ (n \) \ (a \) is a sequence in which there is no position \ (1 \ le I < n \) such that \ (\ max\{a_1,\ldots,a_i\}=\min\{a_{i+1},\ldots,a_n \} \).
Count the ... | HuggingFaceTB/finemath | |
# Thread: Direct and Inverse Variation
1. ## Direct and Inverse Variation
A car's stopping distance varies directly with the speed it travels, and inversely with the friction value of the road surface. If a car takes 60 feet to stop at 32 mph, on a road whose friction value is 4, what would be the stopping distance o... | HuggingFaceTB/finemath | |
Vol. Control Systems
Chapter Closed-loop Control Systems
# Derivative (Rate) Control
### Derivative control monitors the rate (speed) at which the process is changing in order to more closely reach the target setpoint with minimum overshoot and oscillation.
The final element of PID control is the “D” term, which sta... | HuggingFaceTB/finemath | |
# Differential Equations -A
Solutions of a second order differential linear and homogeneous equation with constant coefficients:
a y” + b y’ + c y = 0 (a ≠ 0)
Solve the characteristic equation: a r2 + b r + c = 0
with general solutions r1,2=[(-b±√b2-4ac )/2a].
1> if Δ=b2-4ac > 0 then the solutions r1=r1 are real an... | HuggingFaceTB/finemath | |
1. ## [Solved] Power Series problem
Hi,
This math problem is really confusing me, any ideas on how to start?
i have to explicitely compute the function f defined by
f(x)=$\displaystyle \sum_{n=1}^{\infty} n^2x^_2n}$
as well as find its domain.
from wolframalpha i know the correct function is $\displaystyle f(x)=\f... | HuggingFaceTB/finemath | |
Showing Text From Page | View full page with images
With a pattern that is purely repetitive, the formula is always straightforward, as the picture at the bottom of the facing page illustrates. For all one ever need do is to work out the remainder from dividing the position of a particular square by the size of the ba... | HuggingFaceTB/finemath | |
# Prove $\phi(t)=1/t$ is Borel function.
To be specific, $\phi(t)={1\over t}$ (if $t \neq 0$) or $0$ (if $t=0$).
Please check the process I prove is correct:
I used the definition of Borel measurable or Borel function which is
$\phi^{-1}([-\infty,t])\in B:$ Borel set
Since $\phi^{-1}([-\infty,t])=(0,1/t]\in B$, $\... | HuggingFaceTB/finemath | |
# Making Math Visual
A few days ago I had the privilege of presenting at MAC2 to a group of teachers in Orillia on the topic of “Making Math Visual”. If interested, here are some of my talking points for you to reflect on:
To get us started I shared an image created by Christopher Danielson and asked the group what... | HuggingFaceTB/finemath | |
## The Atomic Mass Of An Element Is
### How do you determine the atomic mass of an element?
• The atomic mass of an element is the weighted average mass of the atoms in a naturally occurring sample of the element. A weighted average mass reflects both the mass and the relative abundance of the isotopes as they occur ... | HuggingFaceTB/finemath | |
```Question 104353
{{{f(-2)=-(-2)^2+4(-2)+10}}} Plug in {{{x=-2}}}
{{{f(-2)=-4+4(-2)+10}}} Evaluate {{{(-2)^2}}} to get 4
{{{f(-2)=-4-8+10}}} Multiply 4 and -2 to get -8
{{{f(-2)=-2}}} Now combine like terms
So when {{{x=-2}}}, {{{f(x)=-2}}}``` | HuggingFaceTB/finemath | |
# Physical Explanation of Faraday's Law
by Lyuokdea
P: 198 So we were going through Faraday's Law today in class: $$\int\vec{E}\cdot d\vec{l} = -\frac{d}{dt}\int\vec{B}\cdot d\vec{A}$$ Mathematically I'm fine with it, however, is there any good physical way to explain it, it seems very odd that if you had a field suc... | HuggingFaceTB/finemath | |
# 8th Class Mathematics Statistics Classification of Data
## Classification of Data
Category : 8th Class
### Classification of Data
In order to tabulate a large number of data, we use the frequency distribution table. Frequency distribution is of two types:
1. Discrete Frequency Distribution
2. Contin... | HuggingFaceTB/finemath | |
# Angles in a Quadrilateral Worksheets
Explore the angles in quadrilaterals worksheets featuring practice sets on identifying a quadrilateral based on its angles, finding the indicated angles, solving algebraic equations to determine the measure of the angles, finding the angles in special quadrilaterals using the ver... | HuggingFaceTB/finemath | |
# The Azimuth Project Blog - network theory (Fong guest posts) (Rev #14, changes)
Showing changes from revision #13 to #14: Added | Removed | Changed
This page contains material on stochastic Petri nets and chemical reaction networks written by Brendan Fong. It may go into one or more blog posts. To discuss this page... | HuggingFaceTB/finemath | |
# How to Solve Tower of Hanoi in C?
15 Mar 2021 7:22 pm || 0
A French mathematician Édouard Lucas invented a game puzzle called Tower of Hanoi in 1883. This puzzle game is related to a religious temple of Hanoi, Vietnam, the name of the temple was the Tower of Hanoi.
This temple has three towers which are surrounded... | HuggingFaceTB/finemath | |
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# 1.H: Sampling and Data (Homework)
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{... | HuggingFaceTB/finemath | |
# Thinking Recursively in Python
Watch Now This tutorial has a related video course created by the Real Python team. Watch it together with the written tutorial to deepen your understanding: Thinking Recursively in Python
“Of all ideas I have introduced to children, recursion stands out as the one idea that is partic... | HuggingFaceTB/finemath | |
# 在计算的时候尽可能将除法转换为乘法：乘法比除法更方便计算
## 二、解析
\begin{aligned} \cos x – 1 & = \frac{- x ^{2}}{2} + o(x ^{3}) \\ 1 – \sin x & = 1 – x + \frac{x ^{3}}{6} + o(x ^{3}) \end{aligned}
\begin{aligned} & \frac{\cos x – 1}{1 – \sin x} = a x + b x ^{2} + c x ^{3} + o(x ^{3}) \\ \\ \Rightarrow & \textcolor{magenta}{\cos x – 1} = \left... | HuggingFaceTB/finemath | |
# Dependent identically distributed random variables
If $X_1$ and $X_2$ are dependent identically distributed, can we show that
$Pr(X_1>X_2) = Pr(X_2>X_1)$?
For i.i.d, it is obvious, but what if they are dependent?
Can we show that $\quad Pr(X_1>X_2) = Pr(X_2>X_1)$ ?
No, we can't. Counterexamples are simple to con... | HuggingFaceTB/finemath | |
Developer ZoneAdvanced Software Development with MATLAB
This is machine translation
Translated by
Mouseover text to see original. Click the button below to return to the Original version of the page.
Just TAP it in…give it a little TAP-py TAP TAP TAP-aroo30
Posted by Andy Campbell,
Last post we explored connecting... | open-web-math/open-web-math | |
# Painters
First painter painted fence himself for 4 hours, the second painter 1.2 hours sooner than first, and the third painters slowest up to 16 hours.
How long took them paint fence if worked together?
Result
x = 1.493 h
#### Solution:
x * (1/4+1/(4-1.2)+1/16) = 1
10.714286x = 16
x = 11275 ≈ 1.493333
Calc... | HuggingFaceTB/finemath | |
## Arvind Gupta’s Website
### June 3, 2007
The Blog Physica Page on Condensed matter books is up. It is a page under construction and a lot more work has to be done. For example, as of now, it is egregiously weak on soft condensed matter books, books on semiconductor physics. So, dear reader, if you think you can hel... | open-web-math/open-web-math | |
# Archive for the ‘11th physics’ category
June 4th, 2011
## Rest and Motion
What is motion? An object is said to be in motion if it changes its position continuously with respect to another object. The motion is a relative term. If we are sitting in a vehicle, a person on the ground would be in motion according to o... | HuggingFaceTB/finemath | |
#### 2.313 ODE No. 313
$y'(x) \left (3 a x y(x)^2+2 a y(x)^3-b x^3+c x^2\right )-a y(x)^3+2 b x^3+3 b x^2 y(x)+c y(x)^2=0$ Mathematica : cpu = 0.319681 (sec), leaf count = 537
$\left \{\left \{y(x)\to \frac {\sqrt [3]{2} (3 a c x+3 a c_1)}{3 a \sqrt [3]{\sqrt {\left (27 a^2 b x^3+27 a^2 c_1 x\right ){}^2+4 (3 a c x... | HuggingFaceTB/finemath | |
display | more...
There is an old riddle concerning the clever burning of fuses. It is originally attributed to Carl Morris, and usually boils down to something like the following:
You have two fuses, each guaranteed to burn for one time unit. They may burn at irregular rates mid-fuse, but if you light an end, it wil... | HuggingFaceTB/finemath | |
# Experiment – Monty Hall Problem
After I’d covered the Monty Hall Problem in the last blog-post, I wrote an experiment in python, which shows that when the number of doors increases but the rules of the game stay the say, our probability of winning given that we switched converges to 1. The probability of winning giv... | HuggingFaceTB/finemath | |
# Thread: Taking a minus sign as a factor.
1. ## Taking a minus sign as a factor.
(2-a)(2+a)=-(a-2)(2-a)
Or
(2-a)(2+a)=-[(a-2)(2-a)]
Or
(2-a)(2+a)=-(a-2)*-(2-a)
Which of these would be correct?
2. ## Re: Taking a minus sign as a factor.
Originally Posted by Beetle
(2-a)(2+a)=-(a-2)(2-a)
Or
(2-a)(2+a)=-[(a-2)(2-a)]... | HuggingFaceTB/finemath | |
# Dividing A Whole Number And A Fraction
Green Resume Gallery.
Dividing A Whole Number And A Fraction. Here again, to divide a fraction by a whole number, you first need to convert the whole number into an improper fraction. Multiply the bottom number of the fraction by the whole number.
The same way as multiplying ... | HuggingFaceTB/finemath | |
Bulletin 24
The Punt Kick – Newton’s Third Law
According to Newton’s Third Law of Action and Reaction, the forces that two bodies exert on each other are always:
OPPOSITE in DIRECTION and EQUAL in MAGNITUDE
To simplify a very complicated law think of the following example. While sitting in a swivel chair, lock the t... | HuggingFaceTB/finemath | |
### 3.129 $$\int \frac{1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{3/2}} \, dx$$
Optimal. Leaf size=97 $\frac{351 x+358}{2662 \sqrt{3 x^2+2}}+\frac{2 \sqrt{3 x^2+2}}{1331 (2 x+1)}-\frac{2 \sqrt{3 x^2+2}}{121 (2 x+1)^2}-\frac{322 \tanh ^{-1}\left (\frac{4-3 x}{\sqrt{11} \sqrt{3 x^2+2}}\right )}{1331 \sqrt{11}}$
[Out]
(358 + 35... | HuggingFaceTB/finemath | |
It is time to pace up your preparation with New Pattern Questions of Quantitative Aptitude for SBI PO Mains and NIACL Assistant 2017. These Quant questions will also help you in preparing for BOB PO and NICL AO 2017 recruitment examination.
So here we are with the most important questions of Quantitative Aptitude for N... | HuggingFaceTB/finemath | |
# Help with functional equation
1. May 16, 2012
### jd12345
1. The problem statement, all variables and given/known data
A function from R-->R is differentiable and follows f( (x+y)/3 ) =( 2 + f(x) + f(y) ) / 3
Derivative of f(x) at x=2 is 2
Find the range of f ( |x| )
2. Relevant equations
3. The attempt at a so... | HuggingFaceTB/finemath | |
# 750 in words
750 in words is written as Seven hundred and Fifty. 750 represents the count or value. The article on Counting Numbers can give you an idea about count or counting. The number 750 is used in expressions that relate to money, days, distance, length, weight and so on. Let us consider a few examples for 75... | HuggingFaceTB/finemath | |
0
# How alike the polynomial and non polynomial?
Updated: 10/25/2022
Wiki User
9y ago
"Non-polynomial" can mean just about anything... How alike it is with the polynomial depends on what specifically you choose to include.
Wiki User
9y ago
Earn +20 pts
Q: How alike the polynomial and non polynomial?
Submit
Stil... | HuggingFaceTB/finemath | |
# What are Boundary Conditions?¶
Boundary conditions (b.c.) are constraints necessary for the solution of a boundary value problem. A boundary value problem is a differential equation (or system of differential equations) to be solved in a domain on whose boundary a set of conditions is known. It is opposed to the “in... | open-web-math/open-web-math |
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