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The New Mersenne Prime Conjecture (Another of the Prime Pages' resources)
New record prime: 277,232,917-1 with 23,249,425 digits by Pace, Woltman, Kurowski, Blosser & GIMPS (26 Dec 2017).
Leonhard Euler showed:
Theorem: If k>1 and p=4k+3 is prime, then 2p+1 is prime if and only if 2p+1 divides 2p-1.
It is also cl... | HuggingFaceTB/finemath | |
# Homework Help: Capacitors - Finding the charges and potential at junction
1. Jan 26, 2014
### Saitama
1. The problem statement, all variables and given/known data
Three capacitors of 2μF, 3μF and 5μF are independently charged with batteries of emf's 5V, 20V and 10V respectively. After disconnecting from voltage so... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Train Routes:
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### There are 321 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Train Routes
##### Age 5 to 7 Challenge Level:
Th... | HuggingFaceTB/finemath | |
# Astronaut problem
salsabel
An astronaut traveling at 0.90c, with respect to Earth, measures his pulse and finds it to be 70 beats per minute.
a) Calculate the time required for one pulse to occur, as measured by the astronaut.
b) Calculate the time required for one pulse to occur, as measured by an Earth-based obser... | HuggingFaceTB/finemath | |
Solve the following
Question:
Solve:
$\frac{x-5}{2}-\frac{x-3}{5}=\frac{1}{2}$
Solution:
$\frac{x-5}{2}-\frac{x-3}{5}=\frac{1}{2}$
$\Rightarrow 10\left(\frac{x-5}{2}\right)-10\left(\frac{x-3}{5}\right)=10\left(\frac{1}{2}\right)$ (multiplying throughout by 10, which is the L.C.M. of 2,2 and 5 )
$\Rightarrow 5(x... | HuggingFaceTB/finemath | |
# 46.02 kg to lbs - 46.02 kilograms into pounds
kg
lbs
## 46.02 kg to lbs
Before we go to the more practical part - that is 46.02 kg how much lbs calculation - we will tell you a little bit of theoretical information about these two units - kilograms and pounds. So we are starting.
## 46.02 kgs in pounds
We will s... | HuggingFaceTB/finemath | |
# Problems On Area And Circumference Of A Circle
Before looking at problems on circle based on perimeter and area, we need to understand both the properties of circle.
## Perimeter Definition
Perimeter is associated with any closed figure like triangle, quadrilateral, polygons or circles. It is the measure of dista... | HuggingFaceTB/finemath | |
# How to Use the CEILING Function in Google Sheets
There are many useful rounding functions in Google Sheets to help you control how you want to round numbers.
In one of my previous posts on how to round numbers in Google Sheets, I covered the most common ways to round. What I didn’t cover in that post was the CEILIN... | HuggingFaceTB/finemath | |
## 5.2 Feasible Generalized Least Squares
Motivation for a more efficient estimator
• Gauss-Markov Theorem holds under A1-A4
• A4: $$Var(\epsilon| \mathbf{X} )=\sigma^2I_n$$
• Heteroskedasticity: $$Var(\epsilon_i|\mathbf{X}) \neq \sigma^2I_n$$
• Serial Correlation: $$Cov(\epsilon_i,\epsilon_j|\mathbf{X}) \neq 0$$
•... | HuggingFaceTB/finemath | |
where a, b, c and d are numbers. Methods for finding Inverse of Matrix: The matrix must be a non-singular matrix and, There exist an Identity matrix I for which; In general, the inverse of n X n matrix A can be found using this simple formula: where, Adj(A) denotes the adjoint of a matrix and, Det(A) is Determinant of ... | open-web-math/open-web-math | |
# Boy’s Surfaces
Boy’s surface is a nonorientable surface found by Werner Boy in 1901. Boy’s surface is an immersion of the real projective plane in 3-dimensional without infinities and singularities, but it meets itself in a triple point (self-intersect). The images below are generated using 3D-XplorMath, and with th... | HuggingFaceTB/finemath | |
# how to calculate probability of survival
Admission Open 2020 SRMJEEE Admissions Open Apply Now!! Manipal University Admissions Open Apply Now!! UPES University Admissions Open Apply Now!!
Calculating survival probability per person at time (t) from Cox PH. Should I calculate the baseline survival probability for A... | HuggingFaceTB/finemath | |
## 13 Jul 2014
### IrMO 2001 P1 Q1: Upper Secondary Mathematics Competition Question
Find, with proof, all solutions of the equation
2n = a! + b! + c!
in positive integers a, b, c and n.
(Here, ! means "factorial".)
[IrMO 2001 Paper 1 Question 1]
### Matching Octagons: Middle Secondary Mathematics Competition Qu... | HuggingFaceTB/finemath | |
# Falling: If resultant force downwards follows the equation F = mg - kv^2, acceleration is a = g - (k/m)v^2
#### UKEng20
##### New member
I've been putting together a two part equation for showing the motion of an object falling before and after deploying a parachute for a personal project but I keep getting stuck a... | HuggingFaceTB/finemath | |
# Why doesn't Mathematica know the exact value of some trivial trigonometric functions?
The trigonometric functions for half angles have well-defined and simple rules. For example $$\tan\left(\frac x2\right)=\frac{\sin x}{1+\cos x}=\frac1{\csc x+\cot x}$$ But I can't get the exact value for some expressions as simple ... | HuggingFaceTB/finemath | |
# Algebra
posted by on .
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 178 cities. The jazz band visited 92 cities more than the rock band. How many cities did each group visit?
• Algebra - ,
Let x = the rock band
x + x + 92 = 178
2x = 86
x = 43 | HuggingFaceTB/finemath | |
How 9 Cheenta students ranked in top 100 in ISI and CMI Entrances?
# Sets and Venn diagrams |B.Math Entrance
Try this beautiful problem from B.Math Entrance Exam based on Sets and Venn diagrams.
## Sets and Venn diagrams - B.Math Entrance
In a village of 1000 inhabitants, there are three newspapers P, Q,and R in ... | HuggingFaceTB/finemath | |
# How do you solve -1+11=\frac{1}{3}x?
Jan 16, 2018
$x = 30$
#### Explanation:
$\text{note that } \frac{1}{3} x = \frac{x}{3}$
$- 1 + 11 = \frac{x}{3}$
$\Rightarrow 10 = \frac{x}{3}$
$\text{multiply both sides by 3}$
$\left(3 \times 10\right) = \cancel{3} \times \frac{x}{\cancel{3}}$
$\Rightarrow x = 30 \text{... | HuggingFaceTB/finemath | |
Math Goodies is a free math help portal for students, teachers, and parents.
|
Free Math
Interactive Math Goodies Software
Converting Fractions to Mixed Numbers Unit 14 > Lesson 7 of 11
You may recall the example below from a previous lesson.
Example 1
In example 1, we used circles to help us solve the problem. ... | HuggingFaceTB/finemath | |
# What angle should you throw a football for maximum range?
Most people know that a ball without air resistance (traditional projectile motion) goes the farthest if you throw it at a 45 degree angle. What if there is air resistance? Why is 45 the best angle without air resistance?
College football season is coming to... | HuggingFaceTB/finemath | |
# Evaluate the integral. \int_{-2}^{2}(x+3)^{2}dx
Evaluate the integral.
$$\displaystyle{\int_{{-{2}}}^{{{2}}}}{\left({x}+{3}\right)}^{{{2}}}{\left.{d}{x}\right.}$$
• Questions are typically answered in as fast as 30 minutes
### Plainmath recommends
• Get a detailed answer even on the hardest topics.
• Ask an exper... | HuggingFaceTB/finemath | |
Casa > Blog > Problema comune > Constant Force Linear Spring: A Study on the Relationship between Force and Displacement
# Constant Force Linear Spring: A Study on the Relationship between Force and Displacement
fonte:Precisione di Qianye volta:2023-6-6
Springs are essential components in various engineering applica... | HuggingFaceTB/finemath | |
It is currently 21 Mar 2018, 00:05
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
# Related rates problem (involving a cone)
1. Oct 10, 2009
### Pupil
1. The problem statement, all variables and given/known data
Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same... | HuggingFaceTB/finemath | |
Math Olympiad Test: Number System- 1
Math Olympiad Test: Number System- 1
Test Description
10 Questions MCQ Test Mathematics Olympiad for Class 9 | Math Olympiad Test: Number System- 1
Math Olympiad Test: Number System- 1 for Class 9 2022 is part of Mathematics Olympiad for Class 9 preparation. The Math Olympiad Te... | HuggingFaceTB/finemath | |
Find coefficient of $x^3$ in (2+x) ^(3/2)/(1-x)
I can expand $\dfrac{(2+x)^{3/2}}{1-x}=(1+x+x^2+\ldots)\left({3/2\choose0}+{3/2\choose1}(x+1)+{3/2\choose2}(x+1)^2+\ldots\right)$, but that doesn't seem to lead anywhere.
• remember you only have expand up to and including $x^3$. So multiply out the result you have and ... | HuggingFaceTB/finemath | |
# NC = P consequences?
The Complexity Zoo points out in the entry on EXP that if L = P then PSPACE = EXP. Since NPSPACE = PSPACE by Savitch, as far as I can tell the underlying padding argument extends to show that $$(\text{NL} = \text{P}) \Rightarrow (\text{PSPACE} = \text{EXP}).$$ We also know that L $\subseteq$ NL ... | open-web-math/open-web-math | |
15 September, 17:12
# A steel bar that is at 10 ° c is 5 meters long, a bar for heated to 120 ° c, how long is that bar? Α = 1.2.10 - ° c2) A square plate has 50cm side at 40 ° c knowing that α = 1,5-10-⁷ ° c¹to determine:A) the surface expansion coefficient β (β = 2.α)B) Sheet area at 100 ° c (∆a = βAo.∆T)3) A cube-s... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve cross... | HuggingFaceTB/finemath | |
What is compound interest? - InterestRate.co.uk # What is compound interest?
The world of personal finance can be confusing for many. You might come across various financial products and services, from mutual funds and money market accounts to student loans and the stock market.
When looking at some financial produc... | HuggingFaceTB/finemath | |
# Algebra 1 : How to find the slope of parallel lines
## Example Questions
### Example Question #11 : How To Find The Slope Of Parallel Lines
Find the slope of a line parallel to the line with the equation:
Explanation:
Lines can be written in the slope-intercept format:
In this format, equals the line's slope a... | HuggingFaceTB/finemath | |
# How Not To Teach Recursion
### How Not To Teach Recursion
A Joel On Software reader asked the other day for examples of recursive functions other than old chestnuts like Fibonacci or factorial. Excellent question. I suggested topological sort, of course, but there are plenty of other examples that are way better t... | HuggingFaceTB/finemath | |
Write the place value of MATH MAGIC cbse CLASS 2ND
The Eduladder is a community of students, teachers, and programmers just interested to make you pass any exams. So we solve previous year question papers for you.
See Our team
Wondering how we keep quality?
Got unsolved questions?
NCERT-MATH-MAGIC-CLASS--2ND-->View q... | HuggingFaceTB/finemath | |
# 6 Digit Number Sauce
Introduction to Numbers up to $$6$$-Digits. The ISBN 10 digit number consists of four parts. Multiply a 6 by a 2 Digit Numbers; Multiply a 6 by a 3 Digit Numbers; Multiplication Sentences I; Multiplication Sentences II; Multiplication Quiz; Division. If the code on this page does not describe th... | open-web-math/open-web-math | |
# Factors of 578: Prime Factorization, Methods, and Examples
578 is an even composite number which implies it has more than 2 factors. The factors of 577 are the numbers that follow the divisibility rule. The divisibility rules say that one number is divisible by the other if the remainder we get on their division is ... | HuggingFaceTB/finemath | |
? 發問於 科學及數學數學 · 1 十年前
# F.1 Maths Questions
1. 150 balls are put into two boxes A andB. If the number of balls in
box B is a nultiple of that in box A ,suggest two pairs of the numbers
balls in boxes A and B.
2. Jenny wants to send a parcel to her uncle. The postage is \$38.2.She has
some \$1.4-stamps, \$2.5-stam... | HuggingFaceTB/finemath | |
# Does this problem converge?
• rcmango
This is because the cosine of a constant only ever converges to the value 1 if the constant is constant over the whole range of n. So if the constant changes at any point, then the cosine will be different for different values of n.
## Homework Statement
does this problem conv... | HuggingFaceTB/finemath | |
# Fraction calculator
This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple f... | HuggingFaceTB/finemath | |
Last visit was: 14 Aug 2024, 15:54 It is currently 14 Aug 2024, 15:54
Toolkit
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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0
# Is 22 prime
Updated: 12/11/2022
Wiki User
7y ago
22 is composite. Its factors are: 1, 2, 11, 22
Wiki User
7y ago
Study guides
4 cards
## What is the prime factorization of 954
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Continue Learning about Math & Arithmet... | HuggingFaceTB/finemath | |
# Fun with Python’s decimal library
You’ve probably run across a link to this cute math fact in the past few days:
This relatively simple fraction generates a decimal number that contains, in order, every three-digit sequence from 000 to 999 (except, sadly, 998). Pretty cool.
If it’s true. I don’t want to be cynical... | HuggingFaceTB/finemath | |
Courses
# Thin Cylinders Notes | EduRev
## Mechanical Engineering : Thin Cylinders Notes | EduRev
The document Thin Cylinders Notes | EduRev is a part of the Mechanical Engineering Course Solid Mechanics.
All you need of Mechanical Engineering at this link: Mechanical Engineering
Stresses in thin cylinders
If the ... | HuggingFaceTB/finemath | |
# High School Math A & B
Some Manipulatives
Algebra tiles Mirrors or miras Volume demonstration kits Dice Spinners Measuring tools Geometric models Geoboards Compasses Tessellation tiles Tessellation tiles PentaBlocks
Calculator
Calculators will be required for use on Math A and B assessments. Scientific calculator... | HuggingFaceTB/finemath | |
# Sudoku Samurai Web Quest
Welcome, puzzle enthusiasts, to the Sudoku Samurai Quest! Get ready to embark on a thrilling adventure through the world of Sudoku puzzles, where you’ll tackle a series of challenges of increasing difficulty levels. From beginner grids to expert-level puzzles, this quest will put your logica... | HuggingFaceTB/finemath | |
# An Electrical Example¶
Let us return now to an engineering context. For readers who are more familiar with electrical systems, consider the following circuit:
Suppose we want to solve for: , , and . To solve for each of the currents , and , we can use the equations associated with inductors, resistors and capacito... | HuggingFaceTB/finemath | |
Theory of Computation – Regular Expressions and Regular Languages
Regular languages are languages that can be generated from one-element languages by applying certain standard operations a finite number of times. They are the languages that can be recognized by finite automata. These simple operations include concaten... | HuggingFaceTB/finemath | |
# How do you differentiate f(x) = x^3/(xcosx-2) using the quotient rule?
$f ' \left(x\right) = \frac{{x}^{4} \cdot \sin x + 2 {x}^{3} \cdot \cos x - 6 {x}^{2}}{x \cdot \cos x - 2} ^ 2$
#### Explanation:
the quotient rule formula $\frac{d}{\mathrm{dx}} \left(\frac{u}{v}\right) = \frac{v \cdot \frac{\mathrm{du}}{\math... | HuggingFaceTB/finemath | |
Another rotation problem
Another rotation problem
#1
This one's really just for fun; I was able to figure it out by eye to within half a degree, and I think it's good enough. But I'm still curious how you'd go about finding the "right" answer…
So our task here is simply to have our spaceman get a grip on his control ... | HuggingFaceTB/finemath | |
Understanding the Basics of the De Morgan’s Laws
In the previous two posts, we have discussed about the logical operators and, or, and not. Those two articles are preparation for this post.
Consider the following inequalities.
1.) $x \leq 8$
2.) $-2 < x < 3$
The first inequality can also be represented as $x < 8$... | HuggingFaceTB/finemath | |
How to Calculate Force Based on Pressure - dummies
# How to Calculate Force Based on Pressure
Pressure and force are related, and so you can calculate one if you know the other by using the physics equation, P = F/A. Because pressure is force divided by area, its meter-kilogram-second (MKS) units are newtons per squa... | HuggingFaceTB/finemath | |
# Convolution of a gaussian and the derivative of the inverse error function
Problem Definition
I need to calculate the convolution between a Gaussian function $$g(x)$$ and $$d(x)$$, the derivative of the inverse error function,
$$d(x) * g(x) = \int_{-\infty}^{\infty} d(\tau) g(x-\tau) \text{d}\tau = \int_{-\infty}^... | HuggingFaceTB/finemath | |
# Electric Potential of a hollow cylinder
## Homework Statement
A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin, as shown in the figure.
What is the electric potentia... | HuggingFaceTB/finemath | |
DifferentialGeometry/Tensor/SpinorInnerProduct - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.
# Online Help
###### All Products Maple MapleSim
Home : Support : Online Help : DifferentialGeometry/Tensor/SpinorInnerProduct
Tensor[SpinorInnerProduct]... | HuggingFaceTB/finemath | |
## BEATCALC: Beat the Calculator!
Back to Calculation Tips & Tricks
From B. Lee Clay
Squaring Numbers
Multiplying Numbers
Dividing Numbers
Subtracting Numbers
Finding Percents
Calculation
Practice Exercises
Full List
### Multiplying a repeating 4's number by 15
1. Choose a repeating 4's number (4444, etc.)... | HuggingFaceTB/finemath | |
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# If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then the value of |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|, is
Khareedo DN Pro and dekho sari videos bina kisi ad ki rukaavat ke... | HuggingFaceTB/finemath | |
Associated Topics || Dr. Math Home || Search Dr. Math
How Old Are John and Julia?
```
Date: 05/17/2001 at 22:36:16
From: Deepa
Subject: Age word problem
Julia is as old as John will be when Julia is twice as old as John was
when Julia's age was half the sum of their present ages.
John is as old as Julia was when Jo... | HuggingFaceTB/finemath | |
# Standard Bank TAO Preli Question and Solution 2018
Standard Bank TAO Preli : অর্থাৎ Standard Bank Trainee Assistant Officer এর Preli Exam 2018 অনুষ্ঠিত হয়ে গেল ২০/০৭/২০১৮ তারিখে। Standard Bank TAO Preli এর এই প্রশ্নটির সম্পূর্ণ সমাধান(বিস্তারিত, সোর্স এবং ম্যাথ সমাধানসহ) আপনাদের জন্য দেয়া হল। Standard Bank TAO Preli... | HuggingFaceTB/finemath | |
1029117 (number)
1,029,117 (one million twenty-nine thousand one hundred seventeen) is an odd seven-digits composite number following 1029116 and preceding 1029118. In scientific notation, it is written as 1.029117 × 106. The sum of its digits is 21. It has a total of 3 prime factors and 8 positive divisors. There are... | HuggingFaceTB/finemath | |
# Principle of Inclusion-Exclusion
## Introduction
The Principle of Inclusion-Exclusion (abbreviated PIE) provides an organized method/formula to find the number of elements in the union of a given group of sets, the size of each set, and the size of all possible intersections among the sets.
### Two Set Example
As... | HuggingFaceTB/finemath | |
350 on-base percentage is pretty good and a . 400 on-base percentage is outstanding
a . 450 slugging percentage is pretty good and a . 550 slugging percentage is outstanding.
## How do you calculate slugging percentage in math?
To calculate slugging percentage, use the formula: SP = total bases ÷ at bats, where total... | HuggingFaceTB/finemath | |
# Ordinal Subset of Ordinal is Initial Segment
## Theorem
Let $S$ be an ordinal.
Let $T \subset S$ also be an ordinal.
Then $\exists a \in S: T = S_a$, where $S_a$ is the initial segment of $S$ determined by $a$.
That is, $T = S_a = a \in S$.
## Proof
Recall that the Ordering on Ordinal is Subset Relation.
Let ... | HuggingFaceTB/finemath | |
# Mass on spring up a ramp over a chasm
1. Feb 22, 2010
### emam03
Hey guys,
I'm having difficulty with this problem. Any help would be appreciated!
A block of mass m is placed against a compressed spring with spring constant k. When the
spring is released, the block is launched up a ramp and across a chasm of wid... | HuggingFaceTB/finemath | |
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# Pairs Probabilities and Entry Points
Topic closed. 4 replies. Last post 9 years ago by Thoth.
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Posted: July 18, 2007, 8:37 a... | HuggingFaceTB/finemath | |
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Analysis: $\\$ Data: Dimensions, $f_c,k, f_y , Ast$ $\\$ Find $M_u$ [ i.e. M.R Moment of resistance]
Mumbai University > CIVIL > Sem 7 > Limit State Method
Marks: 10 M
1 Answer
0
1views
Steps:
1. To find, the depth of Actual N.A.
$C_u=T_u \\ 0.36f_ckbX_u=0.87{\times}f_y{\times}Ast \\ \therefore X_u=\f... | HuggingFaceTB/finemath | |
0
# 18 percent be as a fraction?
Updated: 9/16/2023
Wiki User
14y ago
18/100 or 9/50.
Wiki User
14y ago
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Q: 18 percent be as a fraction?
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### How is 18 percent written as a fraction?
9/50 is 18 percent written as a fraction.
### What is 18 percent as ... | HuggingFaceTB/finemath | |
# Proving a Greedy Algorithm is Incorrect by Providing Counter Example and Coming up with another correct algorithm
I want to come up with a counter example that proves the following greedy algorithm doesn't work and give an alternative correct algorithm. The problem is I have an array of numbers and I want to reach t... | HuggingFaceTB/finemath | |
# In the given figure, AT is a tangent to the circle with centre O,
Question:
In the given figure, AT is a tangent to the circle with centre O, such that OT = 4 cm and ∠OTA = 30°. Then, AT = ?
(a) 4 cm
(b) 2 cm
(c) $2 \sqrt{3} \mathrm{~cm}$
(d) $4 \sqrt{3} \mathrm{~cm}$
Solution:
(c) $2 \sqrt{3} \mathrm{~cm}$
$... | HuggingFaceTB/finemath | |
# How to take into account phase differences when doing Fourier Transform?
I apologize if the title seems very vague, I don't really know how to put it a different way.
From what I understand, the Fourier transform is essentially just doing a dot product between multiple sine waves of different frequencies with the o... | HuggingFaceTB/finemath | |
# ODE solved using Euler's equation
• Jan 20th 2009, 08:37 AM
stevedave
ODE solved using Euler's equation
This problem is getting messy fast and I'm not sure if I am doing it correctly. Any advice will be very appreciated.
y is a function of x
$\displaystyle x^2y'' + 7xy'+13y=0$; $\displaystyle y(-1) = 1$; $\display... | HuggingFaceTB/finemath | |
## Counting maps
I’ve posted this question on mathoverflow.
Is there a formula to count how many different topological regular maps can be created with n faces (on a sphere)?
• For “regular” I intend maps in which the boundaries form a 3-regular planar graph
• For “different” I intend maps that cannot be topological... | HuggingFaceTB/finemath | |
## Exact Sequences
Let $R$ be a ring. A sequence
$... \rightarrow M_{i-1} \rightarrow^{f_{i-1}} M_i \rightarrow^{f_i} M_{i+1} \rightarrow ...$
of $R$-modules and $R$-module homomorphisms is exact at $M_i$ if $im f_{i-1} = ker f_i$. The sequence is exact if it is exact at every $M_i$. For example,
$0 \rightarrow M' ... | HuggingFaceTB/finemath | |
# Reasoning Ability Quiz for Upcoming Exam – 14th July 2021
Q1. X walked from A to B in the East 10 feet. Then she turned to the right and walked 3 feet and reaches to point C. Again, she turned to the right and walked 14 feet and stops at point D. How far is she from A with respect to her final position?
(a) 4 feet
(... | HuggingFaceTB/finemath | |
# Expanding and Condensing Logarithms Worksheet
The Expanding and Condensing Worksheet are a great tool for any high school or college student that’s working on a calculator homework assignment. There are several reasons for this, one being that it will help you learn about the workings of an expander and a calculator... | HuggingFaceTB/finemath | |
• Views 2,490
• Citations 3
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`Journal of Theoretical ChemistryVolume 2013 (2013), Article ID 720794, 14 pageshttp://dx.doi.org/10.1155/2013/720794`
Research Article
## Structures and Stabilities of Alkaline Earth Metal Oxide Nanoclusters: A DFT Study
Department of Chemistry, University of Delhi, De... | open-web-math/open-web-math | |
# Thread: Complex number calculation and expresing it in polar form
1. ## Complex number calculation and expresing it in polar form
Calculate (1-j)^5 and express the answer in polar form. 'j' being the imaginary number.
If you could also show me the working out i'd appreciate it.
2. ## Re: Complex number calculation... | HuggingFaceTB/finemath | |
# The function $\varphi(u)=\sup_{x\in[0,1]}(f(x)+u\ g(x))$ is Lipschitz continuous
Let $f$ and $g$ two function bounded such that : $$f: [0,1] \to \mathbb{R}$$ $$g: [0,1] \to \mathbb{R}$$ Let : $$\varphi(u)=\sup_{x\in[0,1]}(f(x)+u\ g(x)),\quad u \in \mathbb{R}$$ Show that $\varphi$ is Lipschitz continuous.
We have to... | HuggingFaceTB/finemath | |
# Lesson 8
Relating Area to Circumference
## 8.1: Irrigating a Field (5 minutes)
### Warm-up
The purpose of this activity is for students to estimate the area of a circle by comparing it to a surrounding square.
### Launch
Explain that some farms have circular fields because they use center-pivot irrigation. If d... | HuggingFaceTB/finemath | |
Fundamental to any power system analysis is the know-how of per unit systems. This metric is widely used to describe voltages, currents, and impedances in a power system. This article, supplemented by an example, will explain step by step how to calculate these parameters for any component anywhere in the power system.... | HuggingFaceTB/finemath | |
Question
# The random variable X has a Binomial distribution with parameters n = 9 and p =...
The random variable X has a Binomial distribution with parameters n = 9 and p = 0.7
Find these probabilities: (see Excel worksheet)
P(X < 5)
P(X = 5)
P(X > 5)
X ~ bin (9,0.7)
the probabilities are:-
ANSWER excel func... | HuggingFaceTB/finemath | |
[Review] The Grand Introduction of Residual Learning
October 25, 2018 · 5 minute read
Deep Residual Learning for Image Recognition
K. He, X.Zhang, S.Ren, J.Sun, Microsoft Research, 2016 IEEE Conference on Computer Vision and Pattern Recognition.
Aims of the paper
In this paper, the author presents their solution o... | open-web-math/open-web-math | |
1. ## Image after Transformation
Alright, so I've got to "Find the image of the set $S$ after the given transformation."
$S$ is the square bounded by the lines $u=0, u=1, v=0, v=1; x=v, y=u(1+v^2)$
How do I do this? I've found the Jacobian to be $-u$ but I don't even know how to use that for this problem. Can someon... | HuggingFaceTB/finemath | |
## [Math] 'Two parks' problem and inclusion–exclusion principle using boolean operations
(The following text has been copypasted to the Math Recipes book.)
The problem from the "Discrete Structures, Logic and Computability" book by James L. Hein, 4th ed.
```Suppose a survey revealed that 70% of the population visit... | HuggingFaceTB/finemath | |
# At what time is the particle at rest?
## At what time is the particle at rest?
Common sense says a particle is at rest when its velocity is 0 (i.e., not moving). So let’s set v(t) = 0. Solving for t, we get t = 3 and t = 1 seconds. The particle is at rest after 1 seconds and 3 seconds.
### How do you know when a p... | HuggingFaceTB/finemath | |
Gromov-Hausdorff limits of flat Riemannian surfaces
Posted on January 27, 2019 by Dima
tags: degenerations, weight function, Gromov-Hausdorff limits
Let $$X$$ be a Riemannian surface of genus $$g \geq 1$$. A holomorphic 1-form $$\Omega$$ on $$X$$ has $$2g-2$$ zeroes and putting $$\omega=\dfrac{i}{2}(\Omega \wedge \b... | open-web-math/open-web-math | |
# a network consisting of m cities and m-1 roads connecting them is
A network consisting of M cities and M-1 roads connecting them is given. Cities are labeled with distinct integers within the range [o. (M-1)] Roads connect cities in such a way that each pair of distinct cities is connected either by a direct road or... | HuggingFaceTB/finemath | |
MATH/ECON 108 Visiting Associate Prof Lisa Giddings Sampling and Hypothesis Testing.
Presentation on theme: "MATH/ECON 108 Visiting Associate Prof Lisa Giddings Sampling and Hypothesis Testing."— Presentation transcript:
MATH/ECON 108 Visiting Associate Prof Lisa Giddings Sampling and Hypothesis Testing
DeweyTruman ... | HuggingFaceTB/finemath | |
# Effects of triplet Higgs bosons in long baseline neutrino experiments
@article{Huitu2018EffectsOT,
title={Effects of triplet Higgs bosons in long baseline neutrino experiments},
author={Katri Huitu and Timo J. Karkkainen and Jukka Maalampi and Sampsa Vihonen},
journal={Physical Review D},
year={2018}
}
• Published 8... | open-web-math/open-web-math | |
# Difference between revisions of "1985 AIME Problems"
## Problem 1
Let $x_1=97$, and for $n>1$ let $x_n=\frac{n}{x_{n-1}}$. Calculate the product $x_1x_2x_3x_4x_5x_6x_7x_8$.
## Problem 2
When a right triangle is rotated about one leg, the volume of the cone produced is $800\pi \;\textrm{cm}^3$. When the triangle i... | HuggingFaceTB/finemath | |
Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Perc... | HuggingFaceTB/finemath | |
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# Discovering relations between graphs and algebraic formulas
Authors
## Abstract
Discovering relations between graphics and algebraic formula... | HuggingFaceTB/finemath | |
• Written By Abhishek_verma
# NCERT Solutions for Class 10 Maths Chapter 15 Probability
NCERT Solutions for Class 10 Maths Chapter 15 Probability: The NCERT Solutions for Class 10 Maths Chapter 15 deals with Probability. It provides insight into important questions students must follow to prepare for the exams. Acade... | HuggingFaceTB/finemath | |
How to Calculate Proration for the Real Estate License Exam - dummies
# How to Calculate Proration for the Real Estate License Exam
Real Estate License Exam writers expect you to know the basics of proration math. Proration is the allocation or dividing of certain money items at the closing. An attorney, a real estat... | HuggingFaceTB/finemath | |
## Proof Without Words VII
From here (PDF link). Mouse-over the image for a verbal description of the proof.
Also check out Proof Without Words IIIIIIIVV, and VI.
Filed under Numbers
## Measuring a Year
Here’s a puzzle:
You find yourself on an unknown uninhabited planet. You look up the sky and notice a giant sta... | 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 y... | HuggingFaceTB/finemath | |
## Algebra - A Difficult Question on Sequences
Let's look at a sequences question today. Check out the previous post that introduces sequences here
It is from GMAT prep test so it is quite indicative of the tricky questions you might get on actual GMAT. Solving the question takes less than two minutes since the calcu... | HuggingFaceTB/finemath | |
# What is the volume of a milligram?
## What is the volume of a milligram?
What is the difference between a milligram and a milliliter? One milliliter (British spelling: millilitre) (ml) is 1/1000 of a liter and is a unit of volume. 1 milligram (mg) is 1/1000 of a gram and is a unit of mass/weight.
How do you calcul... | HuggingFaceTB/finemath | |
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Topic: cube root of a given number
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# Introducing Fractions With Picture Books – Here is a List to Help You
Fractions can be one of the most difficult concepts for kids to understand. Often there is a disconnect between the fraction activities that we do in school, and how fractions are used in real life. If we want students to understand how important ... | HuggingFaceTB/finemath | |
# System of Linear Equations Project
## word problem
You got your first job and decided it is time to buy a car. You are debating between two cars, a Volkswagen Beetle 1.8T or a 2015 Jeep Wrangler Sport 4x4. The Volkswagen Beetle costs \$24, 425 and has 33 miles per gallon and the Jeep Wrangler costs \$23,990 with 21... | HuggingFaceTB/finemath | |
# Principles of Calibration
### What the curriculum thinks you need to know:
PC_BK_89 Principles of calibration of monitoring equipment A,C,E 1
This gets asked in VIVAs mostly as its something that is nice to describe with the use of diagrams and graphs (I had 5 minutes in my Primary VIVA on calibration!).
This is ... | HuggingFaceTB/finemath |
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