question stringlengths 200 50k | answer stringclasses 1
value | source stringclasses 2
values |
|---|---|---|
Analytic uniformization
Suppose I am given a subset of $2^\omega\times\omega^\omega$ of some bounded Borel rank. Can I get an analytic uniformization of this set?
• Does analytic uniformization means that graph is an analytical set, or that the map is analytically measurable? – Ilya Jul 18 '13 at 20:04
• I think it m... | HuggingFaceTB/finemath | |
Electric circuits proplem
Discussion in 'Homework Help' started by tinhnho, Aug 31, 2004.
1. tinhnho Thread Starter Active Member
Aug 31, 2004
34
0
hi everyone
i really need help with this proplems,i totally stuck from begin.
Given: R1= 2 ohm, R2 =1 ohm, R3= 3 ohm, R4= 2 ohm, R5 = 3 ohm, R6 =3 ohm
1. The voltmeter... | HuggingFaceTB/finemath | |
# Is there any strategy to brute force search?
I don't know how to state it elegantly, but basically, I want to implement a brute force search algorithm, but there are many different ways that I could enumerate through the search space. This might be naive of me, but I imagine that how I choose to enumerate through th... | HuggingFaceTB/finemath | |
# Choose some natural number and take $k$-th power of its digits and add that. Repeat that. How many cycles will be there?
I have read in a book that has very much of a recreational flavour that if we take any natural number and square its digits and add that then if we repeat that long enough that only two outcomes c... | HuggingFaceTB/finemath | |
# Data Structure and Algorithm
AIMS
• To provide the knowledge & skill on data structures.
• To provide the knowledge & skill on writing simple algorithms.
SHORT DESCRIPTION
Data,Data types, data structure and algorithm, Arrays, records, pointers, linked lists,
Stack, queue and recursion, Searching & sorting.
DETAI... | HuggingFaceTB/finemath | |
Posted on by Kalkicode
Code Pattern
# Print double headed arrow pattern
In this article, we will discuss how to print a double-headed arrow pattern using C programming language. We will explain the problem statement, provide a suitable example, discuss the algorithm and pseudocode, and explain the output with the tim... | HuggingFaceTB/finemath | |
# Game-rules
• It is played with 6 dice (some use only 5).
• only the one and the five and combinations have value
• the value of one is 100 und of five 50
• You can roll as often as you like, as long as you score a value
• if you get no dice with value, is a null-round, also called Farkle
• if you have less then 300 ... | HuggingFaceTB/finemath | |
## Saturday, 12 May 2012
### A Yahoo moment, just vanished...
x/y > 1
when I saw this expression, my thought went in this way:
Multiply ‘y’ on both sides of the inequality.
But can we do so?
Yes, but if y is a negative number, then the inequality-sign changes.
x/y > 1 => x < y, for all y < 0
hold, for all the values ... | HuggingFaceTB/finemath | |
# Nia is trying to decide between two possible jobs. Job A pays \$2000 a month with a 2% annual raise.
Discussion in 'Calculator Requests' started by math_celebrity, Sep 29, 2018.
Nia is trying to decide between two possible jobs. Job A pays \$2000 a month with a 2% annual raise. Job B pays 24,000 a year with a \$500... | HuggingFaceTB/finemath | |
## Min cost Path in 2-D array
Dynamic programming can be applied in minimum cost path problems. In this article, we are going to discuss two common minimum cost path problems.
Problem 1:
Given a matrix of size MxN where every cell has a cost associated with it. We need to find the minimum cost to reach the last cell... | HuggingFaceTB/finemath | |
# Hydro-social metabolism: scaling of birth rate with regional water use
## Abstract
Population growth is often intuitively linked with proportionally higher use of fresh water resources. However, this implies that water use per capita does not change with population growth. We not only find that birth rates of regio... | open-web-math/open-web-math | |
# Is a positive, monotone and sub-additive function concave?
Consider a function $f : [0, 1] \to \mathbb{R}^+$ such that $f(0) = 0$ and $f(x) \leq f(y)$ for all $x \leq y$ (i.e $f$ is monotone). Additionally, I also restrict $f$ to be a sub-additive function i.e $f(x+y) \leq f(x) + f(y)$.
I am trying to prove that su... | HuggingFaceTB/finemath | |
Explore BrainMass
Share
Hypothesis testing : Five step method T test
This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!
Chrysler Corp. is responding to an advertisement by Toyota, which claims that its compact version gets much better gasoline mileage for in-... | HuggingFaceTB/finemath | |
Algebra multiple choice!
posted by .
I have a few questions I need help with! Please explain if my answer was not right how you got to it. I got 1.) B 2.) A 3.) C
1. Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms o... | HuggingFaceTB/finemath | |
Best Colleges and Universities in USA You are here: Colleges and Universities in U.S.A. > How To Calculate Animal Population Density
# How To Calculate Animal Population Density
The calculations involved in the assessment of animal population density is fairly straightforward. But reasonable estimates requires accura... | HuggingFaceTB/finemath | |
# Prime and Composite Numbers
As you've begun your study of factors, you've probably realized that some numbers have a lot of factors and others only have 1 and itself.
This realization leads us into our definitions of prime and composite numbers.
So, what are the definitions of prime and composite numbers? Take a l... | HuggingFaceTB/finemath | |
Let's review a bit of physics in preparation for Part 2 of our technology transfer series on page 28. All elements in a rotating body have a measure of kinetic energy. Simply stated, this is "energy in motion." If you place a weight on a table, relative to some distance from the floor, it exhibits "potential" energy as... | HuggingFaceTB/finemath | |
+0
# Number of credits, Number of students with this many
0
83
1
+408
Number of credits, Number of students with this many
8 1
10 2
14 1
16 1
18 4
19 ... | HuggingFaceTB/finemath | |
What is the total sum of the cardinalities of all subsets of a set?
I'm having a hard time finding the pattern. Let's say we have a set
$$S = \{1, 2, 3\}$$
The subsets are:
$$P = \{ \{\}, \{1\}, \{2\}, \{3\}, \{1, 2\}, \{1, 3\}, \{2, 3\}, \{1, 2, 3\} \}$$
And the value I'm looking for, is the sum of the cardinalit... | HuggingFaceTB/finemath | |
Lesson
Probability
2 hours ago by
nanjiray_42861
Save
Edit
Instructor-led session
Live lessonStart a live lesson
Independent practice
AssignAssign homework
• Slide 1
Report an issue
Probability - by Ray Nanji
Probability is a chance of an event occuring
• Slide 2
Report an issue
Definition
• the extent to which a... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Gridlock:
Filter by: Content type:
Stage:
Challenge level:
### There are 339 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
##### Stage: 3 Challenge Level:
Rather than using the numbers ... | HuggingFaceTB/finemath | |
+0
# Math
0
88
1
https://web2.0calc.com/questions/math_59930
May 27, 2021
#1
+1
What is the length of the side of an equilateral triangle if the height is 7√3?
Hello Guest!
$$a^2=(\frac{a}{2})^2+(7\sqrt{3})$$
$$\frac{3a^2}{4}=(7\sqrt{3})^2\\ a^2=\dfrac{49\cdot 3\cdot 4}{3}$$
$$a=14$$ !
May 29, 2021 | HuggingFaceTB/finemath | |
# Standing Brooms: Can Planetary / Planet Alignments Make Brooms Stand By Themselves By Gravitational Pull?
• Author:
• Updated date:
## Gravitational Wonder or Hoax?
In 2009, Facebook exploded with thousands of personal videos of "standing brooms" possible due to a unique planetary alignment of Venus, Jupiter and t... | HuggingFaceTB/finemath | |
Prove the following identity holds for all real numbers $x$
Prove the following identity holds for all real numbers $x$: $$\lfloor4x\rfloor=\lfloor x \rfloor +\left\lfloor x+\frac14 \right\rfloor+\left\lfloor x+\frac24\right\rfloor+\left\lfloor x+\frac34\right\rfloor$$
I understand that $\lfloor4.3\rfloor$ would be $... | HuggingFaceTB/finemath | |
I was chatting to ix the other day about mouse movement and this post and I realised something that had been staring me in the face but I'd never given it any thought.
We all know the reasons why when specifying sens it should be in real terms of cm/360, and not just the q3 sensitivity value, which is meaningless on ... | HuggingFaceTB/finemath | |
GeoGebra Classroom
# Rotations Exploration 1 - 90° (Student Copy)
## Work with the teacher.
a. Draw a triangle with vertices at A(1,3) B(4,3), and C(4, 1). b. Create a point at the origin D(0,0). c. Rotate the triangle 90° clockwise about the origin to form triangle A'B'C'.
d. What is the relationship between th... | HuggingFaceTB/finemath | |
💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# For the function $g$ whose graph is given, state the following.(a) $\displaystyle \lim_{x \to \infty} g(x)$(b) $\displaystyle \lim_{x \to - \infty} g(x)$(c) $\displaystyle \lim_{x \to 0} g(x)$(d) $\displa... | HuggingFaceTB/finemath | |
Created By : Rina Nayak
Reviewed By : Phani Ponnapalli
Last Updated : Apr 28, 2023
Molar volume calculator gives the molar volume of an ideal gas at different conditions in no time. To get molar volume as output,we need to give inputs i.e.molar mass in( grams/ kg/milligram/microgram etc.) and density of the gas in(g... | HuggingFaceTB/finemath | |
# Knowing Our Numbers Class 6 Maths Notes
Knowing our Numbers
• Large numbers upto one crore
• Reading and writing of large numbers
• Comparing large numbers
• Indian System of Numeration
• International System of Numeration
• Use of large numbers
• Estimation of numbers
• Use of brackets
• Roman numerals
Whole Num... | HuggingFaceTB/finemath | |
New SAT Math Workbook
# 2 3 1 a b c d e 40 80 100 60 90 wwwpetersonscom 316
This preview shows page 1. Sign up to view the full content.
This is the end of the preview. Sign up to access the rest of the document.
Unformatted text preview: is the slope of the graph of f(x) = − 1 x. You obtain this slope by substitut... | HuggingFaceTB/finemath | |
Courses
Courses for Kids
Free study material
Offline Centres
More
Store
# The integrating factor of the differential equation $\left( 1-{{y}^{2}} \right)\dfrac{dx}{dy}+yx=ay$ is[a] $\dfrac{1}{{{y}^{2}}-1}$[b] $\dfrac{1}{\sqrt{{{y}^{2}}-1}}$[c] $\dfrac{1}{1-{{y}^{2}}}$[d] $\dfrac{1}{\sqrt{1-{{y}^{2}}}}$
Last updated d... | HuggingFaceTB/finemath | |
# How do you show that $S^{\infty}$ is contractible?
Here I mean the version with all but finitely many components zero.
-
(Added for posterity): See also <mathoverflow.net/questions/38763/…; – Loop Space Sep 15 '10 at 8:06
Maybe this should be closed? – Sean Tilson Mar 26 '13 at 2:20
The same question was asked on m... | HuggingFaceTB/finemath | |
# Geographic Distance and Azimuth Calculations
### Introduction
Many applications, such as navigation and radio frequency engineering, require a thorough understanding of geographic calculations. Some very natural questions seem to come up in a variety of disciplines: How far apart are two points on the Earth? What d... | HuggingFaceTB/finemath | |
# How Many Milliliters in a Liter
So, how many milliliters are in a liter? Understanding milliliters and liters is crucial because precise measurements can significantly impact the outcome of a recipe.
Using the wrong volume of liquid can lead to over-saturation or dryness, affecting the texture and taste of a dish.
... | HuggingFaceTB/finemath | |
Chapter 14.5, Problem 8E
### Mathematical Applications for the ...
11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Chapter
Section
### Mathematical Applications for the ...
11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem
# Find the minimum value of z = 2 x 2 + ... | HuggingFaceTB/finemath | |
bus 308 week 3 and 4 problem set
Question # 00005077 Posted By: neil2103 Updated on: 12/10/2013 01:12 AM Due on: 12/31/2013
Subject Mathematics Topic General Mathematics Tutorials:
Question
week 3 problem set
1.Is the average salary the same for each of the grade levels? (Assume equal variance, and use the Analysis T... | HuggingFaceTB/finemath | |
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club
It is currently 27 Mar 2017, 21:31
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 Dai... | HuggingFaceTB/finemath | |
# Find All Factors of 25 : Prime Factorization of 25
If a number completely divides 25 without leaving a remainder, then that number is called a factor of 25. So we can say that the factors of 25 are the divisors of 25. In this section, we will learn about the factors of 25 and the prime factors of 25.
## Highlights ... | HuggingFaceTB/finemath | |
# Calculating 3^0.2 without using a calculator?
1. Jan 1, 2005
### bigyan
How can i calculate 3^0.2 without using a calculator?
We can write 3^4 as 3*3*3*3. Can 3^4.2 be written in the same way (without exponent)?
Last edited: Jan 1, 2005
2. Jan 1, 2005
### matt grime
no. well, not in any meangfully simlar fashi... | HuggingFaceTB/finemath | |
# PUZZLE CONNOISSEUR'S CLUB
Sudoku X Puzzle Rules
The rules of Sudoku X Puzzles are as follows:
• Place the numbers 1-9 once in each row, column and 3x3 box of the grid. This is the standard sudoku rule set.
• In addition, there are two shaded diagonal regions in the grid, which together form the shape of the letter... | HuggingFaceTB/finemath | |
# Velocity, acceleration and distance
This equation applies to objects in uniform acceleration:
()2 – ()2 = 2 × acceleration × distance
This is when:
• final velocity (v) is measured in metres per second (m/s)
• initial velocity (u) is measured in metres per second (m/s)
• acceleration (α) is measured in metres per... | HuggingFaceTB/finemath | |
# Maximize sum of consecutive differences in a circular array
Given an array of n elements. Consider array as circular array i.e element after an is a1. The task is to find maximum sum of the difference between consecutive elements with rearrangement of array element allowed i.e after rearrangement of element find |a1... | HuggingFaceTB/finemath | |
Prime
#### Prepinsta Prime
Video courses for company/skill based Preparation
(Check all courses)
Get Prime Video
Prime
#### Prepinsta Prime
Purchase mock tests for company/skill building
(Check all mocks)
Get Prime mock
# Infosys Problems On Ages Questions and Answers Quiz -1
Question 1
Time: 00:00:00
Father i... | HuggingFaceTB/finemath | |
# 1L=ML
## Simple and best practice solution for 1L=ML equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so dont hesitate to use it as a solution of your homework.
If it's not what You are looking for type in the equation solver your own equation and let us s... | HuggingFaceTB/finemath | |
# What is 11/81 as a percent?
One way to show a number that is only a part of a whole is in a fraction form. You can also represent this as a percentage. But how do you convert a fraction into a percentage? In this guide, we will show you how to convert 11/81 into a percentage.
## Solution: 11/81 as a percent is 13.5... | HuggingFaceTB/finemath | |
mycollegehive
If 7+y=4(mod8). Find the least value if 10≤y≤30 ...
waec-2019 ssce-exam-2019 waec-mathematics-2019 math
0
If 7+y=4(mod8). Find the least value if 10≤y≤30
A. 11
B. 13
C. 19
D. 21
1.9K views
Share Follow
University of Lagos Nigeria
04 May 2020
School not set Nigeria
22 January 2021
0
7 + y = 4 (mo... | HuggingFaceTB/finemath | |
# Abstract
Generating an interpretable and compact representation of 3D shapes from point clouds is an important and challenging problem. This paper presents CSG-Stump Net, an unsupervised end-to-end network for learning shapes from point clouds and discovering the underlying constituent modeling primitives and operat... | open-web-math/open-web-math | |
# $¬((p_1 \rightarrow p_2)\rightarrow (p_2\rightarrow p_3))$ cannot be expressed using only connectives in $\{∧,\rightarrow\}$
Show that the formula $¬((p_1 \rightarrow p_2)\rightarrow (p_2\rightarrow p_3))$ is not logically equivalent to a formula involving only connectives from the set $\{∧,\rightarrow\}$.
Am I cor... | open-web-math/open-web-math | |
How to
### How Heavy is A Gallon Of Milk?
How Much Does A Gallon Of Milk Weigh? If you know an object’s weight, you can determine which method to use to transport it. It may be necessary to use a cart or dolly for heavier items. Lighter items can be carried by hand.
It also helps you determine the quantity of someth... | HuggingFaceTB/finemath | |
# Cannot find error in solution for system of ODEs
I've spent a lot of time trying to figure out where the error is, but it has not been possible to find where the error is, unfortunately. This process of "debugging" is really tiresome, and this is probably the first time that I can't figure out what's wrong. I would ... | HuggingFaceTB/finemath | |
×
# Transform to Sum Tree
In this article, we are going to see how to convert a binary tree to sum tree? This problem has been featured in Amazon, Microsoft. Submitted by Radib Kar, on December 24, 2018
Problem statement: Given a Binary Tree where each node has positive and negative values. Convert this to a tree wh... | HuggingFaceTB/finemath | |
Save
or
or
taken
Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.
focusNode
Didn't know it?
click below
Knew it?
click below
Don't Know
Remaining cards (0)
Know
0:00
Embed Code - If you would like this activity on... | HuggingFaceTB/finemath | |
Home > Steve > Puzzles > Teleports | Calendar Jigsaws
# Puzzles & Recreational Maths
As I come across puzzles or recreational maths that I find interesting, I'll post them here. Generally I'll post answers embedded in the source of this page in comments.
At present there is:
## Opaque Fences
Imagine that you have ... | HuggingFaceTB/finemath | |
# How do you solve y^2-6y-4=0 by completing the square?
Apr 29, 2015
${y}^{2} - 6 y - 4 = 0$
Move the constant term to the right side:
${y}^{2} - 6 y = 4$
Add the value of ${a}^{2}$ to both sides where
$2 a = - 6$
since we want ${\left(y + a\right)}^{2}$
$= {y}^{2} + 2 a x + {a}^{2}$
$= {y}^{2} - 6 y + {a}^{2}$
$a... | HuggingFaceTB/finemath | |
# MEng Electronic Engineering / Course details
Year of entry: 2022
## Course unit details:Mathematics 1E2
Unit code MATH19682 10 Level 1 Semester 2 Department of Mathematics No
### Aims
The course unit aims to provide a second semester course in calculus and algebra to students in school of Electrical and Electron... | HuggingFaceTB/finemath | |
# Single and Multi Mesh Analysis
The word mesh means a smallest loop which is closed one and formed by using circuit components. The mesh must not have any other loop inside it.
Like the other network analysis procedures, we can use Mesh Analysis to find out the voltage, current or power through a particular element ... | HuggingFaceTB/finemath | |
BREAKING NEWS
Pentakis dodecahedron
## Summary
Pentakis dodecahedron
Type Catalan solid
Coxeter diagram
Conway notation kD
Face type V5.6.6
isosceles triangle
Faces 60
Edges 90
Vertices 32
Vertices by type 20{6}+12{5}
Symmetry group Ih, H3, [5,3], (*532)
Rotation group I, [5,3]+, (532)
Dihedral angle 156°43′07″
arc... | HuggingFaceTB/finemath | |
Application Center - Maplesoft
# Girding the Equator of Earth with a Belt
You can switch back to the summary page by clicking here.
Girding the Equator Dr. Robert J. Lopez
Emeritus, RHIT
Maple Fellow, Maplesoft
Recently, I came across an addendum to a problem that appears in many calculus texts, an addendum I ha... | HuggingFaceTB/finemath | |
# Concept of logarithmic models analysis
Logarithmic functions go hand-in-hand with exponential functions. One cannot be explained without the other as both are inverses of each other. When a variable y is the logarithm of another variable x with the base n, represents the relation between the variables x & y as,
y={... | HuggingFaceTB/finemath | |
A heptagon is a seven-sided polygon or 7-gon in geometry. The heptagon is also known as the septagon, which is formed by combining “sept-” (a Latin-derived number prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) with the Greek suffix “-agon,” which means angle.
Page Contents
## Is a hep... | HuggingFaceTB/finemath | |
# 2-Parallel axes theorem for Iy, polar moment of inertia.
Last Updated on February 29, 2024 by Maged kamel
## Parallel Axis theorem For Iy, Polar Moment Of Inertia.
### Parallel axes theorem proof for Iy.
We are going to talk about the parallel-axis theorem, For Iy. We have again two external axes. x and y. we ar... | HuggingFaceTB/finemath | |
Find the general solution of differential equations $$\dfrac{ dy}{dx} + 2x = e^{3x}$$
Asked by Aaryan | 1 year ago | 86
##### Solution :-
From the question it is given that,
$$\dfrac{dy}{dx} + 2x = e^{3x}$$
Transposing we get,
$$\dfrac{dy}{dx}$$ = e3x – 2x
Integrating on both side, we get,
∫dy = ∫(e3x – 2x) dx... | HuggingFaceTB/finemath | |
# Magnetism Doubt
Here is my attempt. Ask anything. I am not sure. :)
Note by Talulah Riley
5 months ago
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strat... | open-web-math/open-web-math | |
XP Math - Forums - View Single Post - A coin is tossed five times. Find the probability of getting exactly three heads.?
View Single Post
07-26-2007 #5 Daniel F Guest Posts: n/a Tougher than it looks. Here we go:Flip a coin. You get H (heads) or T (tails). So two possible outcomes in one flip. If you flip it 5 time... | HuggingFaceTB/finemath | |
# Primality Test | Set 2 (Fermat Method)
Given a number n, check if it is prime or not. We have introduced and discussed School method for primality testing in Set 1.
Primality Test | Set 1 (Introduction and School Method)
In this post, Fermat’s method is discussed. This method is a probabilistic method and is based o... | HuggingFaceTB/finemath | |
# Taylor Series
## 1. Introduction: What's the Point?
If I gave you the function f(x) = x2 and asked you to evaluate it for some integer x, you could do that on pen and paper. But there are certain functions that are much less obvious to compute. For example, if someone asks you "what's log base 10 of 20?," you won't... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A206297 Position of n in the canonical bijection from the positive integers to the positive rational numbers. 4
1, 3, 5, 9, 13, 21, 25... | HuggingFaceTB/finemath | |
# The Buffalo Way
Imgur
The Buffalo Way is a plug-and-bash method used to solve olympiad inequalities. It is usually applied to symmetric inequalities, where we can assume WLOG that the variables are in a specific order; that is, $x_1 \le x_2\le \cdots \le x_n$.
To illustrate this method, we shall prove $AM-GM$ for ... | HuggingFaceTB/finemath | |
# 153 find minimum in rotated sorted array
### 153. Find Minimum in Rotated Sorted Array
Medium
O(N) 就不说了
We can do it in O(logn) using Binary Search. If we take a closer look at above examples, we can easily figure out following pattern: The minimum element is the only element whose previous element is greater tha... | HuggingFaceTB/finemath | |
Constant Acceleration Question
1. Jun 2, 2014
phyphyphy
A rock is thrown vertically upward from ground level at time t = 0. At t = 1.6 s it passes the top of a tall tower, and 2.0 s later it reaches its maximum height. What is the height of the tower?
My thought process:
First find initial velocity:
v=vo+at
0=vo+... | HuggingFaceTB/finemath | |
# Frobenius Method
• Jun 25th 2010, 12:14 PM
sinichko
Frobenius Method
$(2x^{2}-x)y''+(2x-2)y'+(-2x^{2}+3x-2)y=0$
Around what value of x? Since $2x^2- x= x(2x- 1)= 0$ only for x= 0 or x= 1/2, "Frobenius' method" only applies to solutions as power series about 0 or 1/2.
Start by writing $y= \sum_{n=0}^\infty a_n(x- x_... | HuggingFaceTB/finemath | |
# Question: Explain what s wrong with the way regression is used in
Explain what’s wrong with the way regression is used in each of the following examples:
a. Winning times in the Boston marathon (at www.bostonmarathon.org) have followed a straight line decreasing trend from 160 minutes in 1927 (when the race was firs... | HuggingFaceTB/finemath | |
## 793
793 (seven hundred ninety-three) is an odd three-digits composite number following 792 and preceding 794. In scientific notation, it is written as 7.93 × 102. The sum of its digits is 19. It has a total of 2 prime factors and 4 positive divisors. There are 720 positive integers (up to 793) that are relatively p... | HuggingFaceTB/finemath | |
# External Direct Product
• Jan 26th 2010, 09:56 AM
slevvio
External Direct Product
Let $C_n$ denote a cyclic group of order n. Show that if p is a prime number then every abelian group of order $p^2$ is isomorphic to one of the two groups $C_{p^2}, C_p \times C_p$.
OK!
Let G be an abelian group, with $|G|=p^2$. Sup... | HuggingFaceTB/finemath | |
# Calculating Total Interest
Interest is the charge against the use of money by the borrower. The same is profit earned by the lender of money. The amount which is invested in a bank in order to earn interest is called principal. The interest rate is normally expressed in percentage and represents the dollar interest ... | HuggingFaceTB/finemath | |
# physcs (Geometry bit)
posted by .
how do you prove that
an object on a ramp resolved into it's gravity components were the x dreiction is down the ramp and the y direction is the direciton of the normal force
Force of gravity
x component /\
|Normal force
<_____|
| /|OBJECT
| /1|
|2 / |Force of graviy
| /Fg | y com... | HuggingFaceTB/finemath | |
# In ∆ABC, P and Q are points on sides AB and AC respectively such that PQ || BC. If AP = 3 cm, PB = 5 cm and AC = 8 cm, find AQ.
Question:
In ∆ABC, P and Q are points on sides AB and AC respectively such that PQ || BC. If AP = 3 cm, PB = 5 cm and AC = 8 cm, find AQ.
Solution:
In $\triangle A B C, P$ and $Q$ are po... | open-web-math/open-web-math | |
Calculating the nearest integer continued fraction of a quadratic irrational
This program finds the half-regular (halbregelmäßiger) nearest integer (nächsten Ganzen) continued fraction expansion of a quadratic irrational α = (u + t√d) / v, where d,t,u,v are integers, d >1, and nonsquare, t and v nonzero. We first conv... | HuggingFaceTB/finemath | |
Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up? New to KöMaL?
# Problem S. 95. (January 2015)
S. 95. George has five identical decks of playing cards. Each card contains an integer, and no integer is found on two different cards in a deck. So if a particular num... | HuggingFaceTB/finemath | |
# Physics
A hoop of radius 1.4 m and mass 11.5 kg has a small ball stuck to its inside surface. The ball has a radius of one quarter that of the hoop, and twice the hoop’s mass. The hoop may roll freely, without slipping. Similarly, the ball may roll along the inside of the hoop without slipping. Suppose the system st... | HuggingFaceTB/finemath | |
# Arithmetic and Mathematics have a number of similarities.
For example, the two of these branches of science are all primarily based.
By way of instance, the initial two legislation of Gravity as described previously are valid for all bodies of issue. These objects in temperament are all at the mercy of the really e... | HuggingFaceTB/finemath | |
#### Thank you for registering.
One of our academic counsellors will contact you within 1 working day.
Please check your email for login details.
Click to Chat
1800-5470-145
+91 7353221155
CART 0
• 0
MY CART (5)
Use Coupon: CART20 and get 20% off on all online Study Material
ITEM
DETAILS
MRP
DISCOUNT
FINAL PRI... | HuggingFaceTB/finemath | |
# Maximize the margin formula in support vector machines algorithm
I was recently reading about support vector machines and how they work and I stumbled on an article and came across Maximize the distance margin.
Can anyone tell me what do we have to minimize here? I wasn't able to understand this part I pasted below... | HuggingFaceTB/finemath | |
# Hamilton's Principle
Hamilton's principle states that a dynamic system always follows a path such that its action integral is stationary (that is, maximum or minimum).
Why should the action integral be stationary? On what basis did Hamilton state this principle?
-
It should be noted that this is "Hamilton's princi... | open-web-math/open-web-math | |
# Prove that both formulas for Sxx in the product moment correlation coefficient are equal.
$$S_x{_x} = \sum (x_i -\bar x)^2 = \sum x^2 -n \bar x^2$$
I know $$\bar x = \frac{\sum x }{n}$$
meaning
$$S_x{_x} = \sum (x_i -\frac{\sum x }{n})^2 = \sum x^2 - \sum x\frac{\sum x }{n}$$
but I don't know how to rearrange it... | HuggingFaceTB/finemath | |
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
It is currently 28 May 2017, 12:56
### 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 Dail... | HuggingFaceTB/finemath | |
# The sum of the digits of a two digit number is 9. If the digits are reversed, the number is increased by 45. Find the original number.
2
2016-02-05T21:05:30+05:30
The answer of this ques is 27
as
2+7=9
(sum of the two digits is 9)
27+45=72
(inverted form of 27 is 72)
2016-02-05T22:40:54+05:30
Hello !
Let the digi... | HuggingFaceTB/finemath | |
# Solve for b b+19=5b+3 b+19=5b+3
Move all terms containing b to the left side of the equation.
Subtract 5b from both sides of the equation.
b+19-5b=3
Subtract 5b from b.
-4b+19=3
-4b+19=3
Move all terms not containing b to the right side of the equation.
Subtract 19 from both sides of the equation.
-4b=3-19
Subtract 1... | HuggingFaceTB/finemath | |
# Solve the Linear Equations
#### Lalitha183
I tried to solve the equations in different ways but unsuccessful. Kindly someone solve this :
If $a, b, c$ and $d$ satisfy the equations
$a + 7b + 3c + 5d = 16$
$8a + 4b + 6c + 2d = −16$
$2a + 6b + 4c + 8d = 16$
$5a + 3b + 7c + d = −16$
Then $(a + d)(b + c)$ equ... | HuggingFaceTB/finemath | |
# Question #e1c7e
##### 1 Answer
Jul 27, 2016
See the Proof given below in Explanation.
#### Explanation:
Let $\cos \theta = x , \Rightarrow \sec \theta = \frac{1}{x}$. hence, given that,
$\cos \theta + \sec \theta = 2 \Rightarrow x + \frac{1}{x} = 2 , \mathmr{and} , {x}^{2} + 1 = 2 x$
$\therefore {x}^{2} - 2 x +... | HuggingFaceTB/finemath | |
Equivalent Fractions Worksheet Grade 4.Equivalent Fractions Year 4 By PrimaryLeap Teaching . Recognise When Two Simple Fractions Are Equivalent By . Equivalent Fractions Worksheet - Resume Design Ideas
Equivalent-fractions-worksheet-grade-4, no standards associated with this content no standards associated with this... | HuggingFaceTB/finemath | |
## I have a probability question.
Expand Messages
• This was on my last stat test. I thought it was pretty easy, but i still got it wrong. The answer the teacher gives seems illogical, can you help please?
Message 1 of 2 , Jul 29, 2004
This was on my last stat test. I thought it was pretty easy, but i
still got it wro... | HuggingFaceTB/finemath | |
# Significance of Universal Gas Constant (R)
The significance of Universal Gas Constant (R)
The gas constant is, by convention, symbolized R. The gas constant is also well-known as the molar, worldwide, or ideal gas constant, denoted by the symbol ‘R’. It is a physical constant that appears in an equation defining t... | HuggingFaceTB/finemath | |
## Stream: new members
### Topic: Basic graph theory
#### modderme123 (Sep 16 2020 at 19:40):
So I learned a little bit of lean through the natural numbers game, and I thought I would try to prove some basic graph theory proofs. I'm trying to prove that twice the sum of the edges is equal to the sum of the degrees i... | HuggingFaceTB/finemath | |
+0
# Algebra help last one!
+1
299
2
Nancy invested \$8,000, some at 5% and some at 9% annual interest. If er combined annual interest is \$ 620, find the amount in each account.
BOX PROBLEM URGENT!!!!
May 7, 2019
#1
0
For how many years is that interest?
I will assume 1 year
x = 5% amount
8000 - x = 9% amoun... | HuggingFaceTB/finemath | |
Statistics — Statistical Sampling and Sampling Distributions
Statistical Sampling
1. Population & Sample
As in this article we are going to talk about statistical sampling, the first thing we should know is the difference between a population and a sample. Suppose we want to investigate the average share of income d... | HuggingFaceTB/finemath | |
# When a number x is added to its square, the total is 12. How do you find two possible values for x?
Apr 10, 2018
$x = - 3 , 4$
#### Explanation:
${x}^{2} + x = 12 \rightarrow$ Subtract 12 from each side
${x}^{2} + x - 12 \rightarrow$ This equation is in standard form: $a {x}^{2} + b x + c$
To solve this, we can... | HuggingFaceTB/finemath | |
Commit 3bab5ab2 by s-jdoyle4
Question 20 from chapter 1
parent c8fd0bf4
HW2.20.txt 0 → 100644
For G to be converted into units of mass of earth, length unit of mean radius Earth-Sun orbit and unit of year. G is 6.67e-11 m^3kg-1s-2, so we must multiply the constraint by the mass of earth in kilograms (5.97e24), divid... | HuggingFaceTB/finemath | |
# Is the Block Moving Horizontally or Perpendicularly on the Inclined Plane?
• cs2018
In summary, the block slides down the plane at a speed proportional to the magnitude of the force applied.
cs2018
## Homework Statement
[/B]
This problem is from David Morin's Introduction to Classical Mechanics, Chapter 3, Problem... | HuggingFaceTB/finemath | |
Jacob Stein
2022-02-06
How do you simplify $3x+1x+2-\left(-5x\right)+7$?
### Answer & Explanation
laiedkn
We can add everything together. The variables for themselves and the integers for themselves.
$3x+1x+2-\left(-5x\right)+7$
$4x+2-\left(-5x\right)+7$
For $-\left(-5x\right)$ you know that $\left(-\right)\cdot \... | HuggingFaceTB/finemath |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.