content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Square side calculator
Side
In geometry, a side can be defined as a line connecting two vertices of a figure or two-dimensional figure. Our online calculator will help you find the side, edge of more than 11 shapes.
Square
Square — is a rectangle with equal sides. One can also give another definition of a square: a ... | 4 | [
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0.101074218... | 13,705,900 | 13705900 | |
\operatorname{cosec}A\
Hint: Here, first of all, simplify LHS by substituting \[\cot A=\dfrac{1}{\tan A}\] everywhere. Use formulas \[{{\left( a-b \right)}^{2}}={{a}^{2}}+{{b}^{2}}-2ab\] and \[\left( {{a}^{3}}-{{b}^{3}} \
right)=\left( a-b \right)\left( {{a}^{2}}+ab+{{b}^{2}} \right)\] to simplify LHS. Finally, substit... | 4 | [
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Problem 705 | Solution of Propped Beam with Increasing Load
Problem 705
Find the reaction at the simple support of the propped beam shown in Fig. P-705 and sketch the shear and moment diagrams.
Solution of Propped Reaction by Double Integration Method
Click here to expand or collapse this section
$\dfrac{y}{x} = \d... | 5 | [
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To review where we are at so far:
• Part 1 discussed the basic functions for simulating and sampling data in R.
• Part 2 walked us through how to perform bootstrap resampling and then simulate bivariate and multivariate distributions.
In Part 3, we are ready to put this info to use and start to simulate data and... | 5 | [
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Pseudolikelihood in Graphical Models
Introduction
Because I did not use pseudolikelihood quite frequently, I often forget what it is and how to calculate it. The introductory materials from Wikipedia and other resources are always vague and
confusing to beginners. So I decided to write a blog post on pseudolikelihoo... | 4 | [
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Hint
There are multiple phases present in the data. The form factor amplitude of a sphere with radius $r$ is the subunit you should use. It is: $$ F_{sph}(q,r) = 3\frac{\sin(qr)-qr\cos(qr)}{(qr)^3} $$ If
you take the absolute square of this, you get the form factor: $$ P(q,r) = |F_sph(q,r)|^2 $$ For later steps, you w... | 4 | [
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A new damage imaging method based on lamb wave wavenumber response and PZT 2D cross-shaped array
Abstract
A new damage imaging method of composite structure based on Lamb wave wavenumber response and Piezoelectric Transducer (PZT) 2D cross-shaped array is proposed. The 2D cross-shaped array constructed
by two linear P... | 4 | [
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Example of Internal/External Pressure Design
Problem
Determine the minimum required thickness of a cylindrical shell and hemispherical heads of a welded pressure vessel designed for an internal pressure of 100 psi at a design temperature of 250°F.
There is no corrosion. The shell, which contains a longitudinal butt we... | 5 | [
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Coursnap app
title
Why Dividing By N Underestimates the Variance
description
This is the follow up video to: Statistics Fundamentals: The Mean, Variance and Standard Deviation https://youtu.be/SzZ6GpcfoQY In it, we show exactly why, when we estimate the variance, dividing by
'n' underestimates the value we are interes... | 5 | [
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VTU Discrete Mathematical Structures - June 2015 Exam Question Paper | Stupidsid
VTU Computer Science (Semester 3)
Discrete Mathematical Structures
June 2015
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw nea... | 4 | [
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What is the domain and range of ln(x^2+1)? | Socratic
What is the domain and range of #ln(x^2+1)#?
1 Answer
Domain is $\mathbb{R}$+, Range is ${\mathbb{R}}^{+}$
Explanation:
Domain is given by ${x}^{2} + 1$ >0. That means all real values of x, that is, it would be $\mathbb{R}$
For range, exchange x and y in $y = \... | 4 | [
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Twiddle factors in DSP for calculating DFT, FFT and IDFT
View Course Path
Twiddle factors in DSP for calculating DFT, FFT and IDFT
Throughout this Digital Signal Processing course, we are/will be seeing a trend of simplifying mathematical operations. From the various transforms (Laplace, Z, Fourier) to using differen... | 4 | [
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Math, Grade 7, Proportional Relationships, Identifying Proportional Relationships
Author:
Material Type:
Lesson Plan
Level:
Middle School
Grade:
7
Provider:
Tags:
License:
Language:
English
Media Formats:
Text/HTML
Driving to the Park
Using Scale to Determine Dimension
Identifying Proportional R... | 4 | [
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Geometric Sequence Practice Worksheet - Abhayjere.com
Geometric Sequence Practice Worksheet. In this worksheet, we will follow discovering geometric means between two nonconsecutive terms of a geometric sequence. Find the frequent distinction and the
three terms in the sequence after the final one given. Geometric sequ... | 4 | [
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2017 AMC 10B 考试题目
1:15:00
1.
Mary thought of a positive two-digit number. She multiplied it by $3$ and added $11.$ Then she switched the digits of the result, obtaining a number between $71$ and $75,$ inclusive. What was Mary's
number?
Answer: B
Solution:
We know that her number was between $71$ and $75,$ so the u... | 5 | [
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Examples global weak solutions exist for data in the local Sobolev space W
Examples global weak solutions exist for data in the local Sobolev space W
the estimate E ¨ 1 A z0 sup r ∈[0,t] L Gr, zr « ≤ 4e ρ t E 1 A z0LG0, z0 5.5 holds with the convention · ∞ = 0 for every A ∈ BH l oc and t ∈ [0, T λ] where G = G λ,x,T ... | 5 | [
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Derivative
What is a Derivative?
In mathematics, a derivative is a measure of how a function changes as its input changes. More specifically, it measures the rate of change of the output of a function with respect to the input. This
is typically denoted using the slope of a tangent line to the function at a given po... | 4 | [
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Suppose that the height in inches of a 25-year-old man is a normal random variable with parameters μ=71 and σ^2=6.25. - The Story of Mathematics - A History of Mathematical Thought from Ancient Times to the Modern Day
-a) What percentage of 25-year-old men are over $6$ feet, $2$ inches tall?
-b) What percentage of men... | 5 | [
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im
pmtm
Multitaper power spectral density estimate
Description
pxx = pmtm(x,'Tapers',tapertype) specifies the type of tapers to use when computing the multitaper PSD estimate. You can specify the 'Tapers',tapertype name-value pair anywhere after x in the
function call.
pxx = pmtm(x,nw) uses the time-halfbandwidth p... | 5 | [
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Hesitant Fuzzy SWARA-Complex Proportional Assessment Approach for Sustainable Supplier Selection (HF-SWARA-COPRAS)
^1
Department of Mathematics, National Institute of Technology, Warangal (Telangana) 506004, India
^2
Department of Mathematics, Government College, Jaitwara (M. P.) 485221, India
^3
School of Comput... | 4 | [
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all
Lesson 6
Building Quadratic Functions to Describe Situations (Part 2)
6.1: Sky Bound (5 minutes)
Activity
In this warm-up, students considers what happens if an object is launched up in the air unaffected by gravity. The work here serves two purposes. It reminds students that an object that travels at a
consta... | 4 | [
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The vibration analysis of a nanobeam due to a ramp-type heating under Moore-Gibson-Thompson theory of thermoelasticity
Abstract
Micro/nanobeams find extensive appreciation due to their employment as resonators. The current study investigates a thermoelastic homogeneous isotropic nanobeam exposed to ramp-type heating a... | 4 | [
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Fractal Geometry
Fractal
Fractal Geometry
From Gaston Julia to Benoit Mandelbrot
Originally Published — https://www.setzeus.com/
Captivated by the motion of waves & mesmerized by the perfectly-imperfect symmetry of leaves, it’s crystal-clear we’re a pattern-seeking species. Externally, studies have proven that we ... | 4 | [
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Furahan Biology and Allied Matters
In response to
a question on the Speculative Evolution website
I thought it might be useful to write a short post on animal flight, with an eye on other worlds besides Earth. It will turn out that the logic is very similar to that of leg design. That subject,
focussing on bone thick... | 4 | [
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Programming Assignment 4: Coping with NP-completeness
Description
Introduction
Welcome to your last programming assignment of the Advanced Algorithms and Complexity class! In this
programming assignment, you will be practicing solving NP-complete problems. Of course, currently we
don’t know efficient algorithms for so... | 5 | [
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Introduction
lease note that the text on this web page only gives a short summary of the Unit Cardinal Arithmetic. The full text including explanations, proofs and historical notes is available as a
separate pdf-document at the end of this page.
The present unit is the 5th unit of the walk The Cardinality of Sets.
... | 4 | [
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Futures - docshare.tips
Futures
Comments
Content
Futures
Topic 10 I. Futures Markets
1
A. Forward vs. Futures Markets
1. Forward contracting involves a contract initiated at one time and performance in accordance with the terms of the contract occurring at a subsequent time. Example: A highly prized St. Berna... | 5 | [
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How to find the common difference in sequences - SAT Math
All SAT Math Resources
Example Questions
Example Question #1 : How To Find The Common Difference In Sequences
How many integers in the following infinite series are positive: 100, 91, 82, 73 . . . ?
Explanation
:
The difference between each number in the s... | 4 | [
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Logarithms - High School Math
All High School Math Resources
Example Questions
Example Question #1 : Logarithms
Correct answer:
Explanation
:
Most of us don't know what the exponent would be if
Fortunately we can use the base change rule:
Plug in our given values.
Example Question #1 : Logarithms
Based on t... | 4 | [
0.0185546875,
0.048095703125,
0.0220947265625,
0.02978515625,
-0.01708984375,
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0.00408935546875,
0.09375,
0.083984375,
0.07275390625,
-0.15234375,
0.09814453125,
-0.1279296... | 13,705,928 | 13705928 | |
bservations of
forecast
Forecast states and observations of state-space models
Description
[Y,YMSE] = forecast(Mdl,numPeriods,Y0,Name,Value) uses additional options specified by one or more Name,Value pair arguments. For example, for state-space models that include a linear regression
component in the observation m... | 5 | [
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0.02587890625,
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-0.... | 13,705,929 | 13705929 | |
Aptitude Questions
1. Eight litres are drawn from a cask full of wine and the cask is filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in case to that of
water is 16:65. How much wine did the cask hold originally?
1. 18 litres
2. 24 litres
... | 4 | [
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Indefinite Integration Homework Help, Questions with Solutions - Kunduz
Indefinite Integration Questions and Answers
Calculus
Indefinite Integration
Find the slope of the graph of the function at the given point Use the derivative feature of a graphing utility to confirm your results Function Point 0 0 f 0 8 sin 0 0... | 5 | [
-0.0125732421875,
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(Answered) MATH399N Week 8 Assignment: Linear Regression Equations and Application
Question
The following data represents the inches of rainfall y in month x of the year in a city in the U.S. (1 is January, 2 is February, etc.)
Using a calculator or statistical software, find the linear regression line for the dat... | 4 | [
-0.0029449462890625,
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0.08447265625,
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-0.01104736328... | 13,705,932 | 13705932 | |
ation
Write each rational expression in lowest terms. $$ \frac{a^{2}-b^{2}}{a^{2}+b^{2}} $$
Short Answer
Expert verified
The expression \( \frac{a^{2}-b^{2}}{a^{2}+b^{2}} \) is already in lowest terms.
Step by step solution
01
Identify the given expression
The given rational expression is \(\frac{a^{2}-b^{2}}{a... | 4 | [
0.0306396484375,
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0.052734375,
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0.0419921875,
-0.0196533... | 13,705,933 | 13705933 | |
Thermodynamics : Heat transfer question.
•
• Thread starter AlchemistK
• Start date
In summary, a solid body X with heat capacity C is initially at 400K in an atmosphere with temperature of 300K. It cools according to Newton's Law of cooling and at time t1, its temperature is 350K.
The body X is then connected... | 5 | [
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0.01263427734375,
0.04931640625,
-... | 13,705,934 | 13705934 | |
st
Pairing your socks after washing them seems like an annoying and unnecessary task. You think you can just find pairs as and when you need them, you could either do all the work now, or just spread it
out over the next couple of weeks.
It turns out that, for more than 2 pairs of socks, it is always quicker to pair ... | 5 | [
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FICO Xpress Optimization Examples Repository: Economics and finance
Economics and finance
Description
Problem name and type, features Difficulty Related examples
H‑1 Choice of loans ... | 5 | [
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Eddie's Math and Calculator Blog
Ruler Calculator
Shout out to Fischer Scientific! My work had an office supplies fair yesterday. It is not everyday that I see a ruler calculator. I asked about how much is the ruler calculator because I wanted to
order one for myself, and the nice vendor gave the ruler. I am much ap... | 5 | [
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F (s) Denotes The Laplace Transform Of The Function (). Which One Of The Following Is The Ordinary Differential
The Ordinary Differential Equation whose Laplace Transform is given by 1/(s+1)F(s) = f(0) + 1/(1+s²) is option C. Df/dt + f(0) + sin(t) = 0.
The given equation represents a relationship between the Laplace T... | 5 | [
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Instantaneous Non-Linear Processing by Pulse-Coupled Threshold Units
Abstract
Contemporary theory of spiking neuronal networks is based on the linear response of the integrate-and-fire neuron model derived in the diffusion limit. We find that for non-zero synaptic weights, the
response to transient inputs differs qual... | 4 | [
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-0.021728515... | 13,705,939 | 13705939 | |
on
This page is not finished yet
Most of the things in Warzone are easy to calculate, but some of them can be pretty confusing. Here are some of the formulas we use to calculate things.
Nearly all calculations in formulas are done with integers. This means that numbers are nearly always rounded down to the nearest in... | 4 | [
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0.043212890625,
0.0... | 13,705,940 | 13705940 | |
Learn the proper way to determine measurement uncertainty and evaluate it using the test accuracy ratio.
Engineers often struggle with the proper procedure to determine measurement uncertainty. The dilemma at the end of that analysis requires a decision as to the result. Did the item under scrutiny pass
or fail? Is t... | 5 | [
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0.03369140625,
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0.108398437... | 13,705,941 | 13705941 | |
How can I determine the angle between two vectors in MATLAB?
Accepted Answer
Edited: MathWorks Support Team on 27 May 2020
•
•
Commented: Bruno Luong on 1 Oct 2024
How can I determine the angle between two vectors in MATLAB?
I have two vectors. Is there a MATLAB function that can determine the angle between ... | 5 | [
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0.08056640625,
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-0.040771484375,
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Retail Margin And Markup Table
This table is designed to assist in converting the different methods of arriving at a retail price. Use the multiplier on cost to achieve the desired margin. For example, to achieve a 33.33% margin
use a 150% (1.50) multiplier. Another way to express the difference is that a markup per... | 4 | [
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0.066894... | 13,705,943 | 13705943 | |
Conversion of energy forms
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ΔE = ΔU + ΔE[k] + ΔE[p] = ΔQ[ in] + ΔQ[ out] + ΔQ[ out losses] + ΔW [int] + ΔW[ out] + ΔW[ in] (1) ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━... | 4 | [
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-0... | 13,705,944 | 13705944 | |
Homework 4, COMS 4771 solved
Description
Problem 1 (Linear regression; 20 points). In this problem, we’ll consider an optimization formulation for linear regression. This is a supervised learning problem where the output space is Y = R
(rather than a discrete space like {0, 1}). Instead of classification error, the go... | 4 | [
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0.02001... | 13,705,945 | 13705945 | |
Monte Carlo Simulation for Radiative Transfer in a High-Pressure Industrial Gas Turbine Combustion Chamber
Radiative heat transfer is studied numerically for reacting swirling flow in an industrial gas turbine burner operating at a pressure of 15 bar. The reacting field characteristics are computed by
Reynolds-averaged... | 4 | [
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-0.0324707031... | 13,705,946 | 13705946 | |
Back to Differential Equations
First, let's look at the odd problem solutions:
1)Show that y = cx^2 - x is a solution of the DE: xy' = 2y + x
We first take:
dy/dx = y’ = 2cx - 1
Then substitute for y and y’ into the DE:
xy' = 2y + x
-> x (2cx – 1) = 2 (cx^2 – x) + x
2cx^2 – x = 2cx^2 -2x + x
And:
2cx^2 ... | 5 | [
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On the Use of a Non-Constant Non-Affine or Slip Parameter in Polymer Rheology Constitutive Modeling
^1
Department of Chemical Engineering, Cyprus University of Technology, P.O. Box 50329, 3603 Limassol, Cyprus
^2
Department of Chemical Engineering, University of Patras & FORTH/ICE-HT, 26504 Patras, Greece
^*
Auth... | 4 | [
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0.04... | 13,705,948 | 13705948 | |
Problem 1023
Use the graph of the quadratic function f to write its formula as
f(x) = a(x – h)^2 +k.
Solution:-
First determine the value of a, h, and k in f(x) = a(x – h)^2+k.
Recall that the coordinates of the vertex x and y correspond to the values of h and k.
Identify the vertex of the given parabola.
Verte... | 4 | [
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[GAP Forum] Encode Homomorphism Between Groups
Jeffrey Rolland rollandj at uwm.edu
Tue Jan 26 20:48:44 GMT 2010
-----BEGIN PGP SIGNED MESSAGE-----
Hash: SHA1
Dear Prof. Hulpke,
Thank you very much! This was very helpful!
Sincerely,
- --
Jeffrey Rolland
<rollandj at uwm.edu>
On 01/25/2010 11:24 PM, Alexander Hulpk... | 4 | [
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Problem 11-21
MIRR
Project X costs $2,000, and its cash flows are the same in Years...
Problem 11-21 MIRR Project X costs $2,000, and its cash flows are the same in Years...
Problem 11-21
MIRR
Project X costs $2,000, and its cash flows are the same in Years 1 through 10. Its IRR is 17%, and its WACC is 8%. What is th... | 5 | [
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Designing Digital Redstone Circuits Automatically in Minecraft with Integer Programming: Preliminary Thoughts and Tests
Intro
Redstone has been a core element in the game Minecraft for quite some years. It is presumably the most untrivial one as well: while anyone could master nearly all Minecraft mechanics through
ex... | 4 | [
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... | 13,705,952 | 13705952 | |
MetricGate, LLC
Ridge Regression
Overview
Ridge regression is a method used to address multicollinearity in linear regression. It introduces a penalty (lambda) to the size of the coefficients, shrinking them towards zero to reduce model
complexity and prevent overfitting.
The Ridge Regression Equation
Ridge regress... | 5 | [
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0.0029449... | 13,705,953 | 13705953 | |
GSEB Solutions Class 11 Maths Chapter 7 Permutations and Combinations Ex 7.2
Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 7 Permutations and Combinations Ex 7.2 Textbook Questions and Answers.
Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Permutations and Combinations Ex 7.2
Question 1.
... | 4 | [
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... | 13,705,954 | 13705954 | |
Fraction
A fraction is a number expressed as the quotient of two mathematical expressions, often integers. Fractions come in the form ${\displaystyle \frac{a}{b}}$ , where ${\displaystyle a}$ is called the
numerator and ${\displaystyle b}$ is called the denominator.
Sometimes the word "fraction" means the quotient of ... | 4 | [
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0.0703125,
-0.01623535... | 13,705,955 | 13705955 | |
A watertight car is submerged under water. What force is required to
A watertight car is submerged under water. What force is required to open a door of area 1.04 m2 if the average depth of water at the door is 1.56 m?
👇
3 answers
(click or scroll down)
👇
The force required to open the door would be equal to t... | 4 | [
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Chapter 13 Surface Areas and Volumes NCERT Solutions Class 9 Maths
NCERT Solutions for Chapter 13 Surface Areas and Volumes Class 9 Maths
┌───────────────────────┬───────────────────────────────────────────────────────────────────────────────┐
│Chapter Name │NCERT Solutions for Chapter 13 Surface Areas and ... | 4 | [
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Quick Math Variance - Step By Step Math Problem Solver | MathCrave
Quick Math Variance- Statistics
1
Enter expression in this form
Example (dataset): 5 7 8 9 10
Enter dataset separated by a space
Variance in Statistics
Variance is a measure of the dispersion or spread of a set of data points. It quantifie... | 4 | [
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Quadratic Equation - Formula, Examples | Quadratic Formula - [[company name]] [[target location]], [[stateabr]]
Quadratic Equation Formula, Examples
If you going to try to figure out quadratic equations, we are enthusiastic about your journey in mathematics! This is indeed where the most interesting things starts!
Th... | 4 | [
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Monty Hall Problem | Brilliant Math & Science Wiki
The Monty Hall problem is a famous, seemingly paradoxical problem in conditional probability and reasoning using Bayes' theorem. Information affects your decision that at first glance seems as though
it shouldn't.
In the problem, you are on a game show, being asked to... | 5 | [
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SPL Programming - 2.2 [Doing judgement] Branching structure
mars RaqForum 25 No. 508 View •
...
SPL Programming - 2.2 [Doing judgement] Branching structure
We can make some judgments with the if() function, but in some cases, we need the if statement.
Let’s review the quadratic equation ax^2+bx+c=0 we learned in ... | 4 | [
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WAEC 2019 Maths Questions And Answers | 2019/2020 WAEC Maths Expo, Runz (runs) - Education - N
SCROLL DOWN ANSWERS NOW FULLY READY
2019 waec mathematics expo answers now ready
Call now to get the rest call 0 8 1 6 9 7 0 4 9 3 3
Call 0 8 1 6 9 7 0 4 9 3 3
And get the rest solution now
Dont call any other number or el... | 4 | [
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Specify Boundary Conditions
Before you create boundary conditions, you need to create a PDEModel container. PDEModel can accommodate one equation or a system of N equations. For details, see Solve Problems Using PDEModel
Objects. Suppose that you have a container named model, and that the geometry is stored in model. ... | 4 | [
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... | 13,705,963 | 13705963 | |
Use the Column Header to Retrieve Values from an Excel Table
|January 24, 2014||SUMIFS, Tables, VLOOKUP
This post discusses ways to retrieve aggregated values from a table based on the column labels.
Overview
Beginning with Excel 2007, we can store data in a table with the Insert > Table Ribbon command icon. If yo... | 5 | [
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PPT - 5.5 Normal Approximations to Binomial Distributions PowerPoint Presentation - ID:580603
1. 5.5 Normal Approximations to Binomial Distributions Statistics Mrs. Spitz Fall 2008
2. Objectives/Assignment • How to decide when the normal distribution can approximate the binomial distribution • How to find the correc... | 5 | [
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Study Guide - Model exponential growth and decay
Model exponential growth and decay
In real-world applications, we need to model the behavior of a function. In mathematical modeling, we choose a familiar general function with properties that suggest that it will model the real-world
phenomenon we wish to analyze. In t... | 5 | [
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How quartiles are calculated in Sniffie | Sniffie Help Center
A quartile is one of four equal groups into which a data set can be divided according to the distribution of values of a particular variable. As Wikipedia explains, there are three different accepted
methods with which to calculate quartiles. If there are an... | 4 | [
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AC Power - Active, Reactive and Apparent Power
In this article, we shall discuss different types of electric powers, i.e. active power, reactive power, and apparent power in alternating current (AC) circuits.
Electric Power
The rate of work done in an electric circuit is called electric power. It is represented by th... | 4 | [
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M, M and M
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Problem
There are several sets of five positive whole numbers with the following properties:
• Mean = 4
• Median = 3
• Mode = 3
Can you find all the different sets of five positive whole numbers th... | 4 | [
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Physics Archives - David The Maths Tutor
Please refer to the previous posts in this series if this post is to make any sense.
Believe it or not, I made a small error in the equations from the last post. I used kilometers instead of meters in part of the equation for the force due to gravity. The two equations for the ... | 5 | [
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... | 13,705,970 | 13705970 | |
How do you evaluate the limit tan(4x)/x as x approaches 0? | HIX Tutor
How do you evaluate the limit #tan(4x)/x# as x approaches #0#?
Answer 1
Rewrite in sine and cosine using the identity #tanx = sinx/cosx#.
#=lim_(x -> 0)(sin(4x)/cos(4x))/x#
#=lim_(x->0) sin(4x)/(xcos(4x))#
Rewrite so that that one expression is... | 5 | [
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Solving Systems of Equations
Page
$\def\Height{\vphantom{\begin{array}{c}a\cr a\cr a\cr\end{array}}} \def\|{\!\!\smash{\left|\Height\right.}\!\!} \def\Matrix#1{\left[\;\;\Height\begin{array}{rrrcr}#1\end{array}\;\;\right]} $ Systems
of linear equations arise in all sorts of applications in many different fields of st... | 5 | [
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Cayley-Bacharach applications
The Cayley-Bacharach theorem in projective geometry states that if two cubics share nine points (in sufficiently general position) and a third cubic passes through eight of those points, then it also
passes through the ninth. Here, ‘sufficiently general position’ means that as long as you... | 4 | [
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EWMA Control Chart Using Repetitive Sampling for Monitoring Blood Glucose Levels in Type-II Diabetes Patients
^1
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
^2
Department of Statistics, The University of Dodoma, Dodoma P.O. Box 259, Tanzania
^3
Department of... | 5 | [
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A336702 - OEIS
COMMENTS
Apart from missing 2, this sequence gives all numbers k such that the binary expansion of
A156552
(k) is a prefix of that of
A156552
(sigma(k)), that is, for k > 1, numbers k for which sigma(k) is a descendant of k in
A005940
-tree. This follows because of the two transitions x ->
A00584... | 5 | [
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VBA to Calculate Yield to Maturity of a Bond
Calculate the redemption yield of a bond via the bisection method and VBA.
The yield to maturity of a bond isn’t given by a simple, explicit equation – you need iterative methods to backsolve the bond pricing formula.
Excel’s RATE function, for example, iteratively calcula... | 5 | [
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... | 13,705,976 | 13705976 | |
12 Basic Excel Formulas You Need to Know
So you’re getting started in Excel and you’ve heard about how great formulas are. There’s just one thing — you don’t know much about how to use Excel formulas. Forget complex stuff like the PI
function in Excel; the basics can be confusing too!
Let’s fix that right now. As a bo... | 5 | [
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... | 13,705,977 | 13705977 | |
Visualizing Complex Functions | Kara van Kessel
Visualizing Complex Functions
Complex Numbers
Despite the name, complex numbers are easier to understand than they sound. A complex number is actually made of two numbers, or components, a real component and an imaginary component. Think of a
complex number as a point... | 4 | [
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Ocean simulation part two: using the fast Fourier transform
In this post we will analyze the equations for the statistical wave model presented in Tessendorf's paper[1] on simulating ocean water. In the previous post we used the discrete Fourier transform to
generate our wave height field. We will proceed with the anal... | 4 | [
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What's In A Name?
Yuktibhāṣā does not explicitly calculate the volumes of pyramids or cones, but it would be instructive to use the method of Sankalita to do so, to demonstrate the generalizability of this method
beyond what is explicitly shown.
Volume of a Pyramid
Consider a square pyramid of side a, and height h. W... | 5 | [
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Brownfield Redevelopment Evaluation Based on Fuzzy Real Options
^1
College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
^2
College of Economic and Management, Huainan Normal University, Huainan 232000, China
^*
Author to whom correspondence should be addres... | 4 | [
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A line passes through (6 ,2 ) and (3 ,4 ). A second line passes through (7 ,8 ). What is one other point that the second line may pass through if it is parallel to the first line? | HIX Tutor
A line passes through #(6 ,2 )# and #(3 ,4 )#. A second line passes through #(7 ,8 )#. What is one other point tha... | 4 | [
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-0.... | 13,705,982 | 13705982 | |
Sage for GCT
Section 1.2 Sage for GCT
In this section, Sage cells have been provided that help us do the following:
1. Convert between polar and Cartesian form (GCT Section 2.2)
2. The angle determined by three points (GCT Section 2.3)
3. Analyze basic transformations of the plane (GCT Section 3.1)
4. Analyze Möb... | 5 | [
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-0.02... | 13,705,983 | 13705983 | |
Euclidean space - Wikipedia Republished // WIKI 2
A point in three-dimensional Euclidean space can be located by three coordinates.
Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional space of Euclidean geometry, b... | 4 | [
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If a2 + b2 = 13 and ab = 6, find
If a^2 + b^2 = 13 and ab = 6, find
(i) a + b
(ii) a – b
Answer :
(i) We know that
(a + b)^2 = a^2 + b^2 + 2ab
Substituting the values
= 13 + 2 × 6
So we get
= 13 + 12
= 25
Here
a + b = ± √25 = ± 5
(ii) We know that
(a – b)^2 = a^2 + b^2 – 2ab
Substituting the values
= ... | 4 | [
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Real function/Continuous/Constant/Identity/Example - Wikiversity
A constant function
${\displaystyle \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto c,}$
is continuous. For every given ${\displaystyle {}\epsilon }$, one can choose an arbitrary ${\displaystyle {}\delta }$, since
${\displaystyle {}d(f(x)... | 4 | [
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Time it takes to find a determinant
To make the point of how inefficient it is to find the determinant of a matrix by the cofactor method, I wrote a program in MATLAB to demonstrate this. A google search for a program written in any
language to find the determinant by using the cofactor method was not available beyon... | 4 | [
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BLS signature scheme
From a high level perspective this is how BLS (also known as Boneh–Lynn–Shacham) signature scheme works.
import sys
sys.path.append("/home/icostan/Repos/pairings.py" )
import bn256
# helper function
def h(msg: bytes) -> object:
return bn256.g1_hash_to_point(msg);
# public param... | 4 | [
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tions
PDF version
(NAG web site
, 64-bit version, 64-bit version
)
NAG Toolbox: nag_ode_sl2_breaks_vals (d02kd)
Purpose
nag_ode_sl2_breaks_vals (d02kd) finds a specified eigenvalue of a regular or singular second-order Sturm–Liouville system on a finite or infinite interval, using a Pruefer transformation and a
s... | 4 | [
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-0.037... | 13,705,989 | 13705989 | |
Eureka Math Geometry Module 3 Lesson 5 Answer Key
Engage NY Eureka Math Geometry Module 3 Lesson 5 Answer Key
Eureka Math Geometry Module 3 Lesson 5 Exercise Answer Key
The following three-dimensional right rectangular prism has dimensions 3 × 4 × 5.
Determine the length of \(\overline{A C^{\prime}}\). Show a full s... | 4 | [
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A use for overflow
There is simple, but expensive problem in cryptography is
Modular Exponentiation
which can be written as
Calculate
y = (p^n) mod (2^32) where p is a prime number and n is a large integer.
Using BigInteger
You can use the obvious way using BigInteger. BigInteger answer = BigInteger.valueOf(prim... | 5 | [
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Neo4j Graph Algorithms: (1) Path Finding Algorithms
Path finding algorithms find the shortest path between two or more nodes or evaluate the availability and quality of paths. This visual presentation of the Neo4j graph algorithms is focused on quick
understanding and less implementation details. With small reusable s... | 5 | [
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Circles, Lines and Regions
Last week when I was trying to sort out a combinatorial question related to my research, I accidentally ended up redoing some fun geometry of the type covered (?) in an undergraduate discrete math,
or intro to topology course.
I’m going to ramble on a bit about some fun pictorial counting g... | 5 | [
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... | 13,705,993 | 13705993 | |
The concept of a vector space is a foundational concept in mathematics, physics, and the data sciences. In this post, we first present and explain the definition of a vector space and then go on to
describe properties of vector spaces. Lastly, we present a few examples of vector spaces that go beyond the usual Euclide... | 5 | [
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This blog provides an in-depth overview of the Introduction to mole concept along with its related calculations.
The seven base quantities and seven base units make up the International System of Units or SI. We are familiar with most of these terms, although “amount of substance” and its unit “mole” are less
widely ... | 4 | [
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0... | 13,705,995 | 13705995 | |
Understanding Pressure
In SPM, you need to know
1. The definition of pressure
2. The formula of pressure (you need this formula to do lot of calculation.)
3. The SI unit of pressure
4. Factors affecting the magnitude of pressure
Pressure
Pressure is defined as the force acting normally per unit area. (Here, the... | 4 | [
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... | 13,705,996 | 13705996 | |
Duality exercises
Exercise 1 is easy: at the end of Chapter 2 the corresponding products statement was proved, and the obvious dual statement turns out to be this one.
Exercise 2 falls out of the appropriate diagram, whose upper triangle is irrelevant.
Exercise 3 I’ve already proved - search on “sleep”.
Exercise 4... | 4 | [
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Square & Square Root of 85 - Methods, Calculation, Formula, How to find
Square & Square Root of 85
Square of 85
85² (85×85) = 7225
To calculate the square of 85, you simply multiply 85 by itself:
Therefore, the square of 85 is 7225. This straightforward calculation is a building block for more complex mathematical ... | 4 | [
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APPLICATIONS OF INTEGRATION - ppt video online download
2 6.2 Volumes In this section, we will learn about:APPLICATIONS OF INTEGRATION 6.2 Volumes In this section, we will learn about: Using integration to find out the volume of a solid.
3 In trying to find the volume of a solid, VOLUMES In trying to find the volume ... | 5 | [
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