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# Difference between revisions of "Asymptotics of H t"
## Asymptotics for $t=0$
The approximate functional equation (see e.g. [T1986, (4.12.4)]) asserts that
$\displaystyle \zeta(s) = \sum_{n \leq N} \frac{1}{n^s} + \pi^{s-1/2} \frac{\Gamma((1-s)/2)}{\Gamma(s/2)} \sum_{n \leq N} \frac{1}{n^{1-s}} + O( t^{-\sigma/2} ... | open-web-math/open-web-math | |
# Divisors of 14810
## Divisors of 14810
The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
14810 is multiplo of 1
14810 is multiplo of 2
14810 is multiplo of 5
14810 is multiplo of 10
14810 is multiplo of 1481
14810 is multiplo of 2962
14810 is m... | HuggingFaceTB/finemath | |
Math Behind Solving A Rubik’s Cube
By Divvij Chandna
March 2017
A Rubik’s Cube is a puzzle that has stumped many geniuses for decades. First invented in 1974 by Erno Rubik, the puzzle is so difficult that it even took its inventor a month to figure out how to solve it. A Rubik’s Cube has 43 quintillion ways to scra... | HuggingFaceTB/finemath | |
## Saturday, November 30, 2013
### online Encyclopedias of Mathematics
You can find a wealth of information on Mathematics of all levels at the following locations:
Also, you can find interesting (and much more than mathematical) topics at:
Finally, it will be very instructive to gain some insight into an experimenta... | HuggingFaceTB/finemath | |
### ## PHYSICS EXPERIMENTS
discover everything from nature.....
slide 1
### ## knowledge is power
develop scientific approach...
### ## dream big
learning is continuous process....
### inspire yourself and inspire others
develop concepts....
### LEARNING BY DOING
combine experiments and theory....
## GCD
A ... | HuggingFaceTB/finemath | |
Science >
### Cat and mat.
posted Feb 2, 2015, 12:14 AM by ranmini@charliesresearch.com [ updated Dec 3, 2015, 12:16 PM by Upali Salpadoru ]
If a cat sits on a mat, when you pull the mat will the cat also come? Idiot: " No! It will go away".You don’t need a cat and a mat to find this out. We can substitute a ... | HuggingFaceTB/finemath | |
# the variation with extension x of the tension f in a spring
## Hooke's law - Wikipedia
Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance x scales linearly with respect to that distance. That is: =, where k is a constant factor characteristic of the... | HuggingFaceTB/finemath | |
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# Pythagorean theorem and distance formula
631 views
Published on
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Comment goes here.
Ar... | HuggingFaceTB/finemath | |
# Lesson 7Representations of Linear Relationships
Let’s write equations from real situations.
### Learning Targets:
• I can use patterns to write a linear equation to represent a situation.
• I can write an equation for the relationship between the total volume in a graduated cylinder and the number of objects added... | HuggingFaceTB/finemath | |
# Stage 3 - measurement – comparing areas
Students investigate the area of a triangle by comparing the area of a given triangle to the area of the rectangle of the same length and perpendicular height.
## Strategy
Students can:
• explain the relationship between the area of a triangle and the area of a rectangle
• ... | HuggingFaceTB/finemath | |
top of page
CATEGORIES
Sensorial Materials: Geometry
The Sensorial materials may emphasize the development and refinement of the senses, but they are equally powerful tools for supporting the child's mathematical mind. Elegantly constructed, these materials introduce elements of geometry and algebra through hands-on... | HuggingFaceTB/finemath | |
How do I check to see if the solution is 1 for the equation 2x+1=3?
Nov 16, 2014
If the solution of the equation is 1, it means that x= 1 will make the two sides equal.
2x + 1 = 3
2.1 + 1 = 3
2 + 1 = 3
3 = 3
x is the solution of the equation. | HuggingFaceTB/finemath | |
# Pool
The swimming pool is 10 m wide and 8 m long and 153 cm deep. How many hectoliters of water is in it, if the water is 30 cm below its upper edge?
Result
V = 984 hl
#### Solution:
Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us ... | HuggingFaceTB/finemath | |
# Thread: Help Verifying/Completing Basic Cryptography Proofs
1. ## Help Verifying/Completing Basic Cryptography Proofs
I'm not sure if there's a lot of different types of notation for this stuff, but just to be clear S(a) means the support of a, w(a) means the weight of a, h(a,b) is the hamming distance between a an... | HuggingFaceTB/finemath | |
# BAR GRAPHS
The bar graph given below shows the foreign exchange reserves of a country(in million us$) from 1991-92 to 1998-99 .answer the questions basedon this graph. Ans . 1.5 1. Explanation : required ratio = 5040/3360 = 1.5 Ans . 100% 1. Explanation : foreign exchange reserve in 1997-98=5040 million us$
foreign... | HuggingFaceTB/finemath | |
Tweet # Common Core Standard HSA-REI.C.6 Questions
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
You can create printable tests and worksheets from these questions on Common Core standard HSA-REI.C.6! Select one or more questio... | HuggingFaceTB/finemath | |
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Bookmark it
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HW01s09_soln
# HW01s09_soln - ECE-2025 Homework#1 Solutions Problem 1.1(a...
This preview shows pages 1–3. Sign up to view the full content.
ECE-2025 Homework #1 Solutions Spring-2009 Problem 1.1: (a) A negative real number has a phase (or angle) of π . (b, d, f... | HuggingFaceTB/finemath | |
# How do you find the period for y=20cos((2/3)x+pi)+2?
##### 1 Answer
May 30, 2018
$\text{period } = 3 \pi$
#### Explanation:
$\text{the standard form of the cosine function is}$
$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = a \cos \left(b x + c\right) + d} \t... | HuggingFaceTB/finemath | |
## 583475
583,475 (five hundred eighty-three thousand four hundred seventy-five) is an odd six-digits composite number following 583474 and preceding 583476. In scientific notation, it is written as 5.83475 × 105. The sum of its digits is 32. It has a total of 3 prime factors and 6 positive divisors. There are 466,760... | HuggingFaceTB/finemath | |
# 1.1 Vector spaces
Page 1 / 1
Description of vector spaces, subspaces, bases and spans.
## Vector spaces
Definition 1 A linear vector space $\left(X,R,+,·\right)$ is given by a signal space $X$ (called vectors), a set of scalars $R$ , an addition operation $+:X×X\to X$ , and a multiplication operation $·:R×X\to X$... | HuggingFaceTB/finemath | |
#### Topic: Flight Distance between points
Hi
When using OnlineMapsUtils.DistanceBetweenPoint (http://infinity-code.com/doxygen/online … dd617a6d18)
To get the actual distance between the two point, sqrt(dx*dx+dy*dy) should give the correct value in km ?
Now if i want the distance between two points, which are at d... | HuggingFaceTB/finemath | |
# Adding and subtracting fractions with unlike denominators
### Adding and subtracting fractions with unlike denominators
In this section, we will learn how to add and subtract fractions with unlike denominators. First, we will practice finding the lowest common denominator for a pair of fractions by determining the ... | HuggingFaceTB/finemath | |
## Solution of Linear Congruence
If
$gcd(a,n)=1$
then
$a^{\phi (n)} \equiv 1 \; (mod \; n)$
where
$\phi (n)$
is the number of integers between 1 and
$n$
relatively prime to
$n$
.
Using this fact we can solve the congruence
$ax \equiv b \; (mod \; n)$
.
$a^{\phi (n) -1}ax =a^{\phi (n)}x \equiv 1 x= a^{\phi (n) -1}b \; ... | HuggingFaceTB/finemath | |
# Evaluate $\lim_{x\to1^-}\left(\sum_{n=0}^{\infty}\left(x^{(2^n)}\right)-\log_2\frac{1}{1-x}\right)$
Evaluate$$\lim_{x\to1^-}\left(\sum_{n=0}^{\infty}\left(x^{(2^n)}\right)-\log_2\frac{1}{1-x}\right)$$
Difficult problem. Been thinking about it for a few hours now. Pretty sure it's beyond my ability. Very frustrating... | open-web-math/open-web-math | |
## Friday, May 28, 2010
### 50
50 = 2 x 52.
50 = 8 + 9 + 10 + 11 + 12.
50 can be expressed as a sum of primes in two distinct ways such that all primes involved are consecutive: 50 = 2 + 5 + 7 + 17 + 19 = 3 + 11 + 13 + 23.
50 is the smallest number with two representations as a sum of two squares: 50 = 12 + 72 = 5... | HuggingFaceTB/finemath | |
# Chamber Pressure and Burn Rate equations
I know that chamber pressure is
$$P_0=p \left[ 1+ \frac{1}{2}(k-1)M^2 \right]^\frac{k}{k-1}$$
where $$M$$ is exit Mach number and according this equation
$$M= \sqrt{ \frac{2}{k-1} \left[ \left( \frac{P_0}{P_e} \right)^\frac{k-1}{k} -1 \right]}$$
But exit Mach number equat... | HuggingFaceTB/finemath | |
1
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Question
# A farmer has to go 500m due north, 400m due east and 200m due south to reach his field. If he takes 20 minutes to reach the field. What is the average velocity of farmer during the walk?
A
25m/min
Right on! Give the BNAT exam to get a 100... | HuggingFaceTB/finemath | |
# Quiz Over Average Calculator!
Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz m... | HuggingFaceTB/finemath | |
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### 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 | |
# Finding Roots Graphically
Problem
You want to find the roots of an equation graphically.
Solution
Write the equation in the form y = g(x), compute values for y for a given range of x-values, and plot the results using Excel's charting features. Refer to Chapter 4 for more information on charting in Excel.
Discus... | HuggingFaceTB/finemath | |
# How do you write the equation in standard form with Slope 5; through (-3, -9)?
##### 1 Answer
May 10, 2015
Given a slope $m = 5$ and a point on the line $\left(- 3 , - 9\right)$
We can start with the slope-point form:
$y - \left(- 9\right) = 5 \left(x - \left(- 3\right)\right)$
$y + 9 = 5 x + 15$
"Standard form" ... | HuggingFaceTB/finemath | |
# Length of median of equilateral triangle is ‘a√3’ and its area is ‘x’, then what is correct?
1. x2 = 3a4
2. x2 = 3a2
3. x = 3a4
4. x = 3a2
Option 1 : x2 = 3a4
Free
Noun & Pronoun: Fill In The Blanks (Most Important Rules)
32099
15 Questions 15 Marks 12 Mins
## Detailed Solution
GIVEN:
Length of median of equilat... | HuggingFaceTB/finemath | |
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Resources tagged with Mathematical reasoning & proof similar to Negative Power:
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Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical reasoning & proof
Perfectly Square
Stage: 4 Challenge Level:
The sum... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 50/27 and 8/10
1st number: 1 23/27, 2nd number: 8/10
50/27 is greater than 8/10
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 27 and 10 is 270
Next, find the equivalent fraction of both fractional numb... | HuggingFaceTB/finemath | |
1
Q:
# In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statement(s) is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answ... | HuggingFaceTB/finemath | |
# improper Riemann integral and Lebesgue integral
Let $f$ be a continuous function on $(0,1]$ and is defined as $f: [0,1] \to \mathbb R$. Show that if $f$ is lebesgue integrable on $[0,1]$, the improper Riemann integral $\lim_{\epsilon \to 0} \int_{\epsilon}^1 f(x)\,dx$ exists and it equals the Lebesgue integral on $[... | HuggingFaceTB/finemath | |
# Help with apparent weight problem
• vee123
#### vee123
I need help with a physics problem ASAP please :)
I am currently in AP Physics and we are studying centripetal force. My teacher gave me a problem that is driving me crazy because I don't know where to begin with it, and I have a test tomorrow...
Here's the ... | HuggingFaceTB/finemath | |
# Oxford instruments Interview Questions Answers, HR Interview Questions, Oxford instruments Aptitude Test Questions, Oxford instruments Campus Placements Exam Questions
Find best Interview questions and answer for Oxford instruments Job. Some people added Oxford instruments interview Questions in our Website. Check n... | HuggingFaceTB/finemath | |
# Triangle
## Area of Parallelogram and Triangle
In this chapter we will prove that if any parallelogram and triangle have same base and lie between same parallel line then the area of triangle is half of area of parallelogram. Consider the above figure in which;ABCD is a parallelogram;APD is a triangle; Note that bo... | HuggingFaceTB/finemath | |
James S. Plank
Thu Nov 14 14:35:02 EST 2013
Problem Statement.
Consider a "rider", and suppose that he can only do one jump per move. Then you can view the squares on the board as nodes on a graph, and you need to find the shortest distance from the rider's initial square to each square. The edges are knight moves. Th... | HuggingFaceTB/finemath | |
Purchase Solution
# Real Analysis : Radius and Interval of Convergence - Power Series (3 Problems)
Not what you're looking for?
Determine the radius of convergence and the exact interval of convergence of the following power series...
##### Solution Summary
The Radius and Interval of Convergence of Power Series ar... | HuggingFaceTB/finemath | |
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# Salvation of Soul
Last Updated on March 30, 2022 by Ria Path... | HuggingFaceTB/finemath | |
# Metric of Manifold with Curled up Dimensions
#### Markus Hanke
Would someone here be able to write down for me an example of a metric on a manifold with both macroscopic dimensions, and microscopic "curled up" dimensions with some radius R ? Number of dimensions and coordinates used don't matter.
Not going anywher... | HuggingFaceTB/finemath | |
# Mathematical Operations with Significant Figures ```BELL RINGER
#1 Convert 125,458,621,000,000 to
Scientific Notation.
#2 Convert 0.000000125400000 to
Scientific Notation.
#1 125,458,621,000,000
*
1.25458621 x 1014
#2 0.000000125400000
1.254 x 10-7
Significant Figures
Dealing with uncertainty in
measurements.
What va... | HuggingFaceTB/finemath | |
## Mathematics of Deep Learning: Lecture 1- Introduction and the Universality of Depth 1 Nets
Transcribed by Joshua Pfeffer (edited by Asad Lodhia, Elchanan Mossel and Matthew Brennan)
# Introduction: A Non-Rigorous Review of Deep Learning
For most of today’s lecture, we present a non-rigorous review of deep learnin... | HuggingFaceTB/finemath | |
Name__________________________________________Date___________________________
Mathematics Problem Solving
Volume 3, Number 17, January 12, 1998
www.rhlschool.com
Multiply or Divide
1. Ruth eats the same number of peaches every day. She has eaten 120 peaches in the last 30 days. How many peaches does she eat each day?... | HuggingFaceTB/finemath | |
You are on page 1of 3
# Long Range Plan Math 7 (September- December)
Unit
General
Learning
Outcomes &
Specific
Learning
Outcomes
September
Decimal Operations
Develop number
sense.
1. Determine and
explain why a number
is divisible by 2, 3, 4, 5,
6, 8, 9 or 10, and why a
number cannot be
divided by 0.
2. Demonstrate ... | HuggingFaceTB/finemath | |
+0
# Circles
0
14
1
+1230
A circle has a radius of $15.$ Let $\overline{AB}$ be a chord of the circle, such that $AB = 5$. What is the distance between the chord and the center of the circle?
Dec 20, 2023
#1
+129690
+1
Ket the center of the circle = O
Draw a line from the center perpendicular to the chord... | HuggingFaceTB/finemath | |
Sunday, November 04, 2012
Back-substitution and inverting matricies
Matrix triangulation and back-substitution algorithms can be used in combination with gaussian elimination to solve systems of equations or to find the inverse of a matrix. I previously covered gaussian elimination, continuing on we can now solve the... | HuggingFaceTB/finemath | |
main-content
## Weitere Artikel dieser Ausgabe durch Wischen aufrufen
08.07.2020 | Metallurgical and Materials Transactions 50th Anniversary Collection | Ausgabe 9/2020 Open Access
# Advances in Microstructural Understanding of Wrought Aluminum Alloys
Zeitschrift:
Metallurgical and Materials Transactions A > Ausgab... | open-web-math/open-web-math | |
# Is the center of gravity in a CAT(0) space contained in the convex hull?
In reading Greg Kuperberg's partial answer to this question Convex hull in CAT(0) , I started wondering if the center of gravity is always contained in the closed convex hull.
More precisely, given $n+1$ points $x_0,\dots,x_n$ in a CAT(0) spac... | HuggingFaceTB/finemath | |
# Whether this statement is true or false
an_mui
'x - 1' is a factor of a polynomial in the form (x^n - 1) where 'n' is a positive integer.
my guess:
This statement is always true because (x^n - 1) is a difference of square. When factored even more, (x^n - 1) = (x^n/2 - 1)(x^n/2 + 1). Therefore, (x-1) can be factor ... | HuggingFaceTB/finemath | |
Maximum speed of a water skier
Water skiing is a sport where an individual is pulled behind a boat or a cable ski installation on a body of water, skimming the surface.
Consider an idealized case where the boat is moving at a constant velocity $\overrightarrow v_0=\text{const}$ (relative to the water), independently ... | HuggingFaceTB/finemath | |
Permutations And Combinations
Question
# If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is: 46th 59th 52nd 58th
Solution
D.
58th
Clearly, number of words start with A = 4!/ 2! = 12
Numb... | HuggingFaceTB/finemath | |
1. ## Solve for A
hello,
(I+2A)^-1 = [ -1 2 ]
[ 4 5 ]
not sure how to make a matrix...
it's suppose to be a 2 x 2 matrix with row 1 = -1, 2 and row 2 = 4, 5
Thanks!
2. Originally Posted by l flipboi l
hello,
(I+2A)^-1 = [ -1 2 ]
[ 4 5 ]
not sure how to make a matrix...
it's suppose to be a 2 x 2 matrix with ro... | HuggingFaceTB/finemath | |
Can the ratio test determine if an infinite series converges or not?
In summary, the conversation is discussing the name of the series 1+ (1/2) + (1/3) + (1/4)+...+...+...(1/n), also known as the harmonic series. It is being debated whether this series has a finite sum or not. One person argues that since the numbers ... | HuggingFaceTB/finemath | |
Test: Linear Equations in One Variable - 2 - Class 10 MCQ
# Test: Linear Equations in One Variable - 2 - Class 10 MCQ
Test Description
## 15 Questions MCQ Test The Complete SAT Course - Test: Linear Equations in One Variable - 2
Test: Linear Equations in One Variable - 2 for Class 10 2024 is part of The Complete SA... | HuggingFaceTB/finemath | |
# Chapter 8: Torque and Angular Momentum
## Presentation on theme: "Chapter 8: Torque and Angular Momentum"— Presentation transcript:
Chapter 8: Torque and Angular Momentum
Rotational Kinetic Energy Rotational Inertia Torque Work Done by a Torque Equilibrium (revisited) Rotational Form of Newton’s 2nd Law Rolling Obj... | HuggingFaceTB/finemath | |
# Dominate a zero-sum game
Consider a zero-sum game with 2 contestants. Each round, each contestant chooses, independently of each other, one of $$\n \ge 2\$$ different choices. Depending on the two chosen choices, one player is awarded an amount from the other player's pot. For example, the following table shows the ... | HuggingFaceTB/finemath | |
GeeksforGeeks App
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Continue
# Count of ways to form N digit number div by 3 with no adjacent duplicates
Given integer N, the task is to count the number of ways( modulo 109 + 7) to create an N digit number from digits 1 to 9 such that adjacent digits are different and the number is divisible by 3.
E... | HuggingFaceTB/finemath | |
An extension of the subject of probability, the Probability distribution is a far more complex application of the fundamental principle, through which you would be able to define figuratively the chance of an event occurring or not. It is also more of a statistical tool, rather than a mathematical one and may safely be... | HuggingFaceTB/finemath | |
# Equivalent Ratios of 30.2:21.3
Equivalent ratios or equal ratios are two ratios that express the same relationship between numbers as we covered in our tutorial on scaling up ratios. You can use the equivalent ratio calculator to solve ratio and/or proportion problems as required by entering your own ratio to produc... | HuggingFaceTB/finemath | |
# Displacement Relation In a Progressive Wave
The waves of water or waves on a string travel in a particular direction. But, have you ever imagined how is this direction decided? What is the influence of this movement? In order to understand this concept in-depth, it is important to learn about progressive wave and it... | HuggingFaceTB/finemath | |
### The Math Dude
What are the Range and Standard Deviation?
6.SP.4 6.SP.B.4 Box-and-Whisker Plot Explained
Bar graph with m&ms! Students sort candy, gather data in a tally chart and create bar graph. Then they answer, write and solve word problems. Thomas' Teachable Moments
### Summarizing Statistics (Bell Curve D... | HuggingFaceTB/finemath | |
or
# Using the principle of mathematical induction , prove that for all n in N, (2n + 7) lt (n +3)^(2).
Question from Class 12 Chapter Principle Of Mathematical Induction
Apne doubts clear karein ab Whatsapp par bhi. Try it now.
Watch 1000+ concepts & tricky questions explained!
500+ views | 39.4 K+ people like ... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from feet to kilometers is 0.0003048, which means that 1 foot is equal to 0.0003048 kilometers:
1 ft = 0.0003048 km
To convert 64 feet into kilometers we have to multiply 64 by the conversion factor in order to get the length amount from feet to kilometers. We can also for... | HuggingFaceTB/finemath | |
# At midnight in Winnipeg, the temperature was −23°C. During the next 24 hours, the temperature rose 1
Discussion in 'Calculator Requests' started by math_celebrity, Nov 5, 2021.
Tags:
1. ### math_celebrityAdministratorStaff Member
At midnight in Winnipeg, the temperature was −23°C. During the next 24 hours, the tem... | HuggingFaceTB/finemath | |
## Wednesday, March 19, 2008
### Let's Break the Law--Newton's that is.
In classical mechanics, Newton's Three Laws are considered inviolate. Well, OK, his first law is really just a special case of his second. No matter, the topic today is the third law, known and loved by all as:
For every action there is an equal... | HuggingFaceTB/finemath | |
Rearrange the polynomial to put it in conventional form. Ar the state in stimulate from greatest to shortest power.
You are watching: X^2+36 factor
To deal with the equation, aspect the left hand side by grouping. First, left hand side requirements to be rewritten as 2x^2+ax+bx-36. To uncover a and b, set up a device... | HuggingFaceTB/finemath | |
Enter the static pressure (psi), the friction pressure loss (psi), and the elevation gain or loss (psi) into the calculator to determine the Irrigation Pressure.
## Irrigation Pressure Formula
The following formula is used to calculate the Irrigation Pressure.
Pirr = SP – FP + EP
• Where Pirr is the Irrigation Pres... | HuggingFaceTB/finemath | |
#### Solution for What is 5 percent of 3:
5 percent *3 =
(5:100)*3 =
(5*3):100 =
15:100 = 0.15
Now we have: 5 percent of 3 = 0.15
Question: What is 5 percent of 3?
Percentage solution with steps:
Step 1: Our output value is 3.
Step 2: We represent the unknown value with {x}.
Step 3: From step 1 above,{3}={100... | HuggingFaceTB/finemath | |
# Introduction to Number Theory
Section 5.1 Introduction to Number Theory
2. When n = 47, the algorithm would check if the numbers 2, 3, 4, 5, and 6 (round
down √47 to the nearest integer) are divisors of 47.
N one of these integers divide 47, and the algorithm would de termine that 47 is
prime
and return 0.
3. When... | HuggingFaceTB/finemath | |
# For $n \ge 1,$ $\displaystyle 2(\sqrt{n}-\sqrt{n-1})\gt\frac{1}{\sqrt{n}}$
### Source
The motivation for this page came from a challenge issued by Steven Strogatz in an October 6, 2015, tweet and one elegant (trigonometric) solution submitted as a response.
My students found three ways to show 2[sqrt(n) - sqrt(n-1... | HuggingFaceTB/finemath | |
Examples
Chapter 8 Class 7 Comparing Quantities
Serial order wise
This video is only available for Teachoo black users
Get live Maths 1-on-1 Classs - Class 6 to 12
### Transcript
Example 9 - Chapter 8 Class 7 NCERT Solutions - Comparing Quantities Convert 5/4 to per cent. To convert into percentage, we multiply th... | HuggingFaceTB/finemath | |
Please read the new rule regarding the restriction on the use of AI tools. It applies starting from round 972. ×
### ouster's blog
By ouster, history, 6 weeks ago,
Here are the three problem that came in ZEPTO SDE, all of them based on someway or the other standard tree/graph ideas. Some of them are recurring hacker... | HuggingFaceTB/finemath | |
# Odd Power Function is Strictly Increasing/Real Numbers
## Theorem
Let $n \in \Z_{> 0}$ be an odd positive integer.
Let $f_n: \R \to \R$ be the real function defined as:
$\map {f_n} x = x^n$
Then $f_n$ is strictly increasing.
## Proof
From the Power Rule for Derivatives:
$\map {D_x} {x^n} = n x^{n - 1}$
As $n... | HuggingFaceTB/finemath | |
# Prove $\min \left\{ x+y:\begin{pmatrix} x \\ y \end{pmatrix} \in M \right\}$ exists
Given
$$M = \left\{ \begin{pmatrix} x \\ y \end{pmatrix} \in \mathbb{R}^2: x^2+y^2 \leq 1\right\}$$
How can one prove that
$$\min \left\{ x+y:\begin{pmatrix} x \\ y \end{pmatrix} \in M \right\}$$
exists and calculate that?
I was... | HuggingFaceTB/finemath | |
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# Find the derivative of the function. Simplify where possible.$y = \sin^1 (2x + 1)$
## $y^{\prime}=\frac{1}{\sqrt{1-(2 x+1)^{2}}} \cdot \frac{d}{d x}(2 x+1)=\frac{1}{\sqrt{1-\left(4 x^{2}+4 x+1\right)}} \... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from minutes to weeks is 9.9206349206349E-5, which means that 1 minute is equal to 9.9206349206349E-5 weeks:
1 min = 9.9206349206349E-5 wk
To convert 20.7 minutes into weeks we have to multiply 20.7 by the conversion factor in order to get the time amount from minutes to w... | HuggingFaceTB/finemath | |
# R/sim_mHMM.R In mHMMbayes: Multilevel Hidden Markov Models Using Bayesian Estimation
#### Documented in sim_mHMM
#' Simulate data using a multilevel hidden Markov model
#'
#' \code{sim_mHMM} simulates data for multiple subjects, for which the data have
#' categorical observations that follow a hidden Markov model (... | open-web-math/open-web-math | |
×
# Help needed!
How many four digit numbers containing $$\text{NO}$$ zeros have the property that whenever any one of its four digits is removed, the resulting three-digit number is divisible by $$\large{3}$$ ?
Thanks~
Any help appreciated peeps!
Note by Anik Mandal
2 years, 2 months ago
Sort by:
243?
We can e... | HuggingFaceTB/finemath | |
# Is given Tree a BST or not?
You are given a binary tree, you need to determine if the tree is a valid BST or not? For a tree to be a BST, the left child of a node should have a value less than the node’s value and the right child of the node should have a value greater than the node’s value and the property should h... | HuggingFaceTB/finemath | |
# How to Find the Empirical Formula
Author Info
Updated: May 13, 2019
If you have been assigned homework where you have to find the empirical formula of a compound, but you have no idea how to get started, never fear! wikiHow is here to help! First, take a look at the basic knowledge you need to have to find the emp... | HuggingFaceTB/finemath | |
# Problem – Given P=2i-3j, Q=i+j-k, R=3i-k, the vector V, which is orthogonal to P and Q and having unit scalar product with R Problem | Vector Algebra
## Problem – Given P=2i-3j, Q=i+j-k, R=3i-k, the vector V, which is orthogonal to P and Q and having a unit scalar product with R?
Solution
A unit vector along $\vec... | HuggingFaceTB/finemath | |
What is the value of y in the following code?x=7;y=0;if(x=6)y=7;else y=1;a.7b.0c.1d.6
C
This question is related to TCS Interview
• Apr 20th, 2005
Answer for this is : a
that is y value is 7. Here assignment statement get executed in if condition which evaluates to true, so 7 will be assigned to y.
a tirupathi rao
... | HuggingFaceTB/finemath | |
Formulas are the most important part of mathematics and as we all know one is the backbone of the latter. Considering there are thousands of mathematical formulas to help people develop analytical approach and solve problems easily — there are some that go beyond. Some formulas aren’t just timesaving but those also do ... | open-web-math/open-web-math | |
The mean and S.D. of a group of 48 observations are 40 and 8 respectively. If two more observations 60 and 65 are added to the set, find the mean and S.D. of 50 items. - Mathematics and Statistics
Sum
The mean and S.D. of a group of 48 observations are 40 and 8 respectively. If two more observations 60 and 65 are add... | HuggingFaceTB/finemath | |
# What Is the Square Root of 135?
The positive square root of 135 simplifies to 3 times the square root of 15, or 3 * sqrt(15). When using a calculator, the decimal value representing the square root of 135 is approximately 11.61895003862225. The negative of this value is also a square root of 135.
Each positive numb... | HuggingFaceTB/finemath | |
# 1.7.1.1: Capillarity
The capillary forces referred to the fact that surface tension causes liquid to rise or penetrate into area (volume), otherwise it will not be there. It can be shown that the height that the liquid raised in a tube due to the surface tension is $h = \frac{2\sigma\cos(\beta)}{g\Delta\rho r}$ Wher... | HuggingFaceTB/finemath | |
# Ieor 4600 Mixed-Integer Rounding Inequalities
IEOR 4600 Mixed-Integer Rounding Inequalities As the name suggests, mixed-integer rounding inequalities (MIR inequalities for short) arise in the context of mxed-integer programs, that is to say, optimization problems where some of the variables are required to take int... | HuggingFaceTB/finemath | |
Mathematics
# The value of $\int {{x \over {\sqrt {{x^4} + {x^2} + 1} }}dx}$ equals
${1 \over 2}\log \left( {\left( {{x^2} + {1 \over 2}} \right) + \sqrt {{x^4} + {x^2} + 1} } \right) + c$
##### SOLUTION
we have to evaluate $I =\int\dfrac{x}{\sqrt{x^4+ x^2 +1}}dx$
Let us assume $x^2 = t\Rightarrow 2 x dx=dt\Righta... | open-web-math/open-web-math | |
# If Selling Price = ₹900. Discount is 20%, Then Find the Marked Price. - Mathematics
Sum
If selling price = ₹900. Discount is 20%, then find the marked price.
#### Solution
20% discount is given on the marked price. Therefore, if marked price is ₹ 100, then selling price is ₹ 80.
Let the marked price be ₹ x when ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Multiply 2/6 with 3/18
This multiplication involving fractions can also be rephrased as "What is 2/6 of 3/18?"
2/6 × 3/18 is 1/18.
#### Steps for multiplying fractions
1. Simply multiply the numerators and denominators separately:
2. 2/6 × 3/18 = 2 × 3/6 × 18 = 6/108
3. Afte... | HuggingFaceTB/finemath | |
# Demonstrating the oscillatory behaviour of a particle
## Homework Statement
Given
$$\Psi (t) = \frac{1}{\sqrt{2}}\begin{pmatrix} b_{1}exp(\frac{-i(E_{0}+V)t}{\hbar})+b_{2}exp(\frac{-i(E_{0}-V)t}{\hbar})\\ b_{1}exp(\frac{-i(E_{0}+V)t}{\hbar})-b_{2}exp(\frac{-i(E_{0}-V)t}{\hbar}) \end{pmatrix}$$
Set b1= b2 = 1/√2 a... | HuggingFaceTB/finemath | |
Module 2. A.C. series and parallel circuits
Lesson 6
A.C. SERIES AND PARALLEL CIRCUITS
6.1 A.C. Circuit
When an alternating current flows in closed loop or a path, it is called an a.c. circuit. Different elements of an a.c. circuit may be any or in combination of following:
1. Resistance: An electrical elem... | HuggingFaceTB/finemath | |
# Thermodynamics Questions for Class 11, NEET and JEE
## Thermodynamics Questions
Question 1
Two thermally insulated vessels are filled with equal number of moles of air and connected by short tube with a value. If P, V and T and pressure, volume and temperature of gas in first vessel and 2P, V and T / 2 be pressure,... | HuggingFaceTB/finemath | |
# How do you solve abs[5-2x] = 41?
$x \setminus \in \setminus \left\{- 18 , 23 \setminus\right\}$.
$\left\mid 5 - 2 x \right\mid = 41 \setminus \iff 5 - 2 x = 41 \mathmr{and} 5 - 2 x = - 41$.
In the first case : $- 2 x = 36 \setminus \iff x = - 18$.
In the second case : $- 2 x = - 46 \setminus \iff x = 23$. | HuggingFaceTB/finemath | |
# Calculate the amount of heat required to convert 20 kg of ice at -4 degrees Celsius to water at 100 degrees Celsius.
calculate the amount of heat required to convert 20 kg of ice at -4 degrees Celsius to water at 100 degrees Celsius
m = 20 kg.
t1 = – 4 ° С.
t2 = 0 ° C.
t3 = 100 ° C.
Cw = 4200 J / kg * ° С.
Cl ... | HuggingFaceTB/finemath | |
# Normal Modes and Normal Frequencies
• RicardoMP
In summary, According to the homework statement, the frequencies of the normal modes of oscillation for the system must be determined. The differential equations were solved and found that there are four solutions of the form \omega=\pm \sqrt{\frac{-(-4\omega_0^2 -2\ti... | HuggingFaceTB/finemath | |
## Monday, February 28, 2011
### Problem Solving: Working Backwards
Strategy: Make a Path
Sometimes students must work backwards to solve a problem. This method also works as an introduction to some algebraic problems in which the starting number is unknown. This method and the accompanying problem sets were deve... | HuggingFaceTB/finemath |
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