content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
What is the equation of the line between (-17,14) and (19,6)? | HIX Tutor
What is the equation of the line between #(-17,14)# and #(19,6)#?
Answer 1
$y = - \frac{2}{9} x + \frac{92}{2}$
First, we find the slope #m# of the line. The slope of the line is the change in #y# per unit of change in #x#. Equivalently, this ... | 4 | [
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Free Online Beam Calculator | Reactions, Shear Force, etc
Free Online Beam Calculator
Calculate reactions, shear force, bending moment, deflection and stress for cantilever or simply supported beams
About the SkyCiv Beam Calculator
How to use SkyCiv Beam Calculator
Welcome to Beam Calculator, our free version of th... | 5 | [
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e.
Let \(\quad \mathrm{A}=\mid\)\begin{tabular}{rr|rrr} 1 & 5 & \(7 \mid\) and \(\mathrm{B}=\) & \(\mid 1\) & 5 & \(5 \mid\) \\ \(\mid 0\) & 4 & \(3 \mid\) & \(\mid 0\) & 4 & 3 \\ & \(\mid 0\) & 0 & \(1
\mid\) & \(\mid 0\) & 0 & 1 \end{tabular} (a) Test \(\mathrm{A}\) and \(\mathrm{B}\) for diagonalizability. (b) If d... | 5 | [
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Geometric Distribution - Definition, Formula, Mean, Examples
Probability theory is a important department of math which handles the study of random events. One of the crucial ideas in probability theory is the geometric distribution. The geometric distribution
is a discrete probability distribution that models the num... | 4 | [
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Mean Age of Fluid in a Room | Validation Case | SimScale
Validation Case: Mean Age of Air in a Room
The mean age of air in a room validation case belongs to fluid dynamics. This case aims to validate the following parameter:
• The local mean age of air using the SimScale Field function
In this project, the local m... | 4 | [
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Routing Optimisation for Aeronautical Networks, Coursework Example
Front matter
The democratization of air transport and the continuous increase in the number of flights increase the need for digital ground-on-board communications (Zhang et al., 2022). Indeed, a direct
consequence of the increase in air traffic is th... | 5 | [
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The proof behind The Man Who Knew Infinity
Srinivasa Ramanujan was a genius, but he needed help to prove it
Since the success of A Beautiful Mind depicting the life of John Nash, the ‘historical mathematician biopic’ has been popular lately.
The lives of Stephen Hawking and Alan Turing were covered in The Theory o... | 4 | [
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AP Physics C: Mechanics-1.1 Kinematics: Motion in One Dimension Study Notes
How are displacement, acceleration, and velocity related?
➢ Motion occurs whenever an object changes position. Unlike dynamics, which is the study of motion and forces, kinematics only considers the motion of objects without any regard to fo... | 5 | [
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FIT3158 - Lab 7 Case studies on inventory modelling under certainty | Jason Siu
Lecture example 1: Finding optimal order & Annual cost (Ordering Paper For MetroBank)
1. What is the Q*?
2. What is the Total annual cost?
3. What is # of orders per year?
4. What is time between set-up (Cycle time)?
5. If we kno... | 5 | [
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Cambridge Investment Research
When to use the Bayesian approach
In the following situations, I might want to use Bayes’ approach:
• I have quantifiable beliefs beforehand. These may come from internal experienced colleagues, external ‘experts’, or other subjective sources.
• The data may be ‘sparse’ or limited (pres... | 5 | [
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Effect Of Increasing Area on a Parallel Plate Capacitor
When the surface area of a capacitor increase, it's capacity to store charge (it's capacitance) increases according to the equation
\[C=\frac{\epsilon_0 A}{d}\]
(1)
What happens to the voltage?
If the charge per unit surface area is
\[\sigma\]
then the charg... | 4 | [
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Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that for all $x \in \mathbb{R}$,
$\int_{0}^{1} f(xt) dt = 0. \quad (*)$
Then which of the following options is correct?
(A) $f$ must be identically 0 on the whole of $\mathbb{R}$.
(B) There is an $f$ satisfying (*) that is identically 0 on $... | 5 | [
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None
var redirect_url, page_hash; if (window === window.top) { // Redirect // redirect_url = "../helpintro.html#page/content/functionref_r-@rsweep.html"; if (window.document.location.hash.length > 1) { //
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OpenStax College Physics for AP® Courses, Chapter 5, Problem 44 (Problems & Exercises)
Question
The pole in Figure 5.24 is at a $90.0^\circ$ bend in a power line and is therefore subjected to more shear force than poles in straight parts of the line. The tension in each line is $4.00 \times 10^
{4}\textrm{ N}$, at the... | 5 | [
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Jacobian Matrix
Introduction to the Jacobian Matrix
Calculus involves many fundamental concepts that allows us to solve complex problems such as the transformation between coordinates. For this transformation, the Jacobian is used. It is a method or
formula that uses the concept of matrix and determinant to find the b... | 5 | [
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Ambiguous Grammar
Ambiguous Grammar & Parse Tree-
We have discussed-
• Ambiguous Grammar generates at least one string that has more than one parse tree.
• Parse Tree is the geometrical representation of a derivation.
In this article, we will discuss important points about Ambiguous Grammar and Parse Tree... | 5 | [
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Vedic Mathematics- The Cosmic Software for Implementation of Fast Algorithms
Contributed by:
This PDF contains :
Abstract,
Keywords,
1. Introduction,
2. Vedic Mathematics Sutra,
2.1 Nikhilam navata charanam Dashatah,
2.2 Urdhva-tiryakbyham,
3. Uses of Vedic Sutras,
3.1 VLSI Implementation of RSA encryption,
3.2 Multip... | 5 | [
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Module 0 Day 13 Your Turn Part 1
The purpose of this question was to show the power of using exterior angles: It can make questions like these very simple! The method Professor Loh shows later in the video, using interior angles, is
a little more complicated, but it's still worth knowing how to make use of interior ang... | 4 | [
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Computing Galois groups. Degree 2 and 3. | JustToThePointComputing Galois groups. Degree 2 and 3.
To raise new questions, new possibilities, to regard old problems from a new angle, requires creative imagination and marks real advance in science, Albert Einstein.
Theorem: Let f(x) be the general nth degree polynom... | 5 | [
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equations
An equation-solving library written purely in Dart.
The equations package is used to solve numerical analysis problems with ease. It's purely written in Dart, meaning it has no platform-specific dependencies and doesn't require Flutter... | 5 | [
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Linear Regressions with Julia
The first time I heard about Julia was a few months ago, in an introductory class to programming. Since then, I have come to know a bit more about the reputation of the language, supposely very
efficient and especially suited for scientific computations.
In this article, I will try to pe... | 5 | [
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Analysis of Variance
BIOMETRICS
COMPARING TWO MEANS: Xbar[1] – Xbar[2] / S[x1] – S[x2] ~ t
can’t define numerator for >2 means
ANALYSIS OF VARIANCE: Comparing more than two means. When μ[1] not = μ[2], an estimate of variance using means will include a contribution attributable to the difference between population... | 4 | [
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UChicago Instructional Physics Laboratories
Wave Motion and Sound
Waves appear all around us and show up in many different systems. In this experiment, we provide the following three examples for you to study:
• transverse waves along a string,
• longitudinal waves along an air column, and
• longitudinal wave... | 4 | [
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What is Solvency Ratio?
A Solvency Ratio assesses a company’s ability to meet its long-term financial obligations, or more specifically, the repayment of debt principal and interest expense.
When evaluating prospective borrowers and their financial risk, lenders and debt investors can determine a company’s creditwor... | 4 | [
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Street Collisions
Disclaimer: Here be Maths.
So tonight, whilst walking home from University, I came across some people who walking directly across my path. If we both continued on our intended paths we were going to collide. Thus I swung
slightly to the right to walk behind these people, but alas, they had the same ... | 4 | [
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6.2 Use Multiplication Properties of Exponents - Elementary Algebra | OpenStax
By the end of this section, you will be able to:
• Simplify expressions with exponents
• Simplify expressions using the Product Property for Exponents
• Simplify expressions using the Power Property for Exponents
• Simplify expressi... | 4 | [
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Polynomials - Algebra 1
All Algebra 1 Resources
Example Questions
Example Question #4623 : Algebra 1
Correct answer:
Explanation
:
To factor a polynomial, first express the polynomial in the form
Example Question #4624 : Algebra 1
Correct answer:
Explanation
:
To factor a polynomial, first express the polyn... | 4 | [
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The Population Mean – Explanation & Examples
“The population mean is the mean or average found in a population.”
In this topic, we will discuss the population mean from the following aspects:
• What is the population mean?
• How to find the population mean?
• The population mean formula.
• The role of the po... | 5 | [
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Analysis of a Cable with a Middle Support: Equations and Characteristic Equation | Assignments Aerospace Engineering | Docsity
Download Analysis of a Cable with a Middle Support: Equations and Characteristic Equation and more Assignments Aerospace Engineering in PDF only on Docsity! Solutions of Homework #3 (ASEN5022, ... | 5 | [
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Cam Clay Model
I declare that the thesis entitled Object Oriented Nonlinear Finite Element Analysis Framework for Implementation of Modified Cam clay Model. I conducted at the Department of Civil Engineering,
Indian Institute of Technology Guwahati, India under the supervision of Dr. 146]: Axial strain (εa) versus devi... | 4 | [
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Difficult Surds
Submitted by Atanu Chaudhuri on Sat, 23/04/2016 - 19:20
How to solve difficult surds problems in a few simple steps using algebra and surds techniques
Difficult surds problems invariably involve algebra.
How to solve the complex surds problems easily using surds and algebra techniques is shown by s... | 5 | [
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Gas - Kinetic Theory, Particles, Pressure | Britannica
verifiedCite
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O... | 4 | [
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l
The key technology of content traffic management
One: Business Background
The volume maintenance strategy is a very important delivery strategy for video content. New hot video content needs to increase its own exposure resources to maximize the amount of playback, but the
overall resources of each scene (home page... | 4 | [
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ocumentation
# NOT RUN {
options(contrasts = c("contr.treatment", "contr.poly"))
# Surrogate Poisson models
house.glm0 <- glm(Freq ~ Infl*Type*Cont + Sat, family = poisson,
data = housing)
## IGNORE_RDIFF_BEGIN
summary(house.glm0, cor = FALSE)
## IGNORE_RDIFF_END
addterm(house.glm0, ~. + Sat:(Infl+T... | 4 | [
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How Many Iterations Do I Need?
Home → Techniques and Tips → @RISK: General Questions → How Many Iterations Do I Need?
2.7. How Many Iterations Do I Need?
Applies to: @RISK for Excel 5.x–7.x
How many iterations do I need to run in my simulation so that the estimate of the mean is calculated within a specific confiden... | 5 | [
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The Existence of Two Homogeneous Geodesics in Finsler Geometry
Institute of Technology and Business in České Budějovice, Okružní 517/10, 370 01 České Budějovice, Czech Republic
Submission received: 31 May 2019 / Revised: 21 June 2019 / Accepted: 24 June 2019 / Published: 1 July 2019
Abstract
:
The existence of a h... | 4 | [
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Ohms Law Definition
Ohm’s law defines a linear relationship between the voltage and the current in an electrical circuit. The DC current flow through a resistor is set by the resistor’s voltage drop and the resistor’s
resistance. With water flow analogy we can imagine the electric current as water current through pipe... | 4 | [
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The Butera-Pernici algorithm (2)
The purpose of this post will be to see if we can implement the algorithm in Julia, and thus leverage Julia's very fast execution time.
We are working with polynomials defined on nilpotent variables, which means that the degree of any generator in a polynomial term will be 0 or 1. Ass... | 5 | [
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Esnek Mekanizmaların Tasarlanması Ve Kontrolü
Dosyalar
Yayınevi
Fen Bilimleri Enstitüsü
Institute of Science and Technology
Özet
Bu tezde literatürde analizi yapılmamış olan iki farklı esnek mekanizma tasarımı ve kontrolü çalışması yapılmıştır. Mekanizmalardan ilki bekleme hareketi yapması istenen esnek çift kol
m... | 4 | [
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Cool Math Stuff
We've been doing a lot of work with patterns, or more formally called sequences or infinite series. Infinite series are a little different though, as they are guaranteed to go on forever without
stopping. For instance, the sequence with formula n^2, or 1, 4, 9, 16..., is an infinite series. However, one... | 5 | [
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The Binary Code
To understand informatics, the first thing to do is to learn and to understand the language on which it's based.
There are a lot of pages, available in internet, about this argument, but I want to use a diff... | 4 | [
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How do you solve 5x^2 - 125 = 0? | Socratic
How do you solve #5x^2 - 125 = 0#?
2 Answers
Explanation:
Start by factorizing
$5 \left({x}^{2} - 25\right) = 0$
then you can divide both sides by 5 and since $\frac{0}{5} = 0$ you get the expression:
${x}^{2} - 25 = 0$
rearrange so that 25 is on the right hand side
$... | 4 | [
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Overview | Red & White Matter Classes
Overview
Fundamental Principles Of Counting
Permutation and Combination are basically methods that enable us to count faster.
They are based on two counting principles:
• Fundamental Principle Of Multiplication
• Fundamental Principle Of Addition
Fundamental Principle Of M... | 4 | [
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Elliptic Composability
It's about time
After discussing some well known results in quantum mechanics, I will start presenting my approach for solving the measurement problem which was my talk at the
Vaxjo conference
. This will take several posts, and today I start the discussion by presenting some ideas about time... | 4 | [
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stimation of
recursiveOE
Online parameter estimation of output-error polynomial model
Description
Use the recursiveOE System object™ for parameter estimation with real-time data using an output-error model structure. If all the data you need for estimation is available at once and you are
estimating a time-invarian... | 5 | [
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The Game of Thrones A Combinatorial Game Trevor Williams, Daivd
1. The Game of Thrones The Game of Thrones A Combinatorial Game Trevor Williams, Daivd Brown Utah State University October 29, 2014
2. The Game of Thrones Background: Tournaments Recall that a tournament is a complete, oriented graph.
3. The Game of... | 4 | [
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Riemann-Roch theorem
In algebraic geometry the Riemann-Roch theorem states that if ${\displaystyle C}$ is a smooth algebraic curve, and ${\displaystyle {\mathcal {L}}}$ is an invertible sheaf on ${\displaystyle C}$ then
the the following properties hold:
• The Euler characteristic of ${\displaystyle {\mathcal {L}}}$... | 4 | [
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Classical mechanics as high entropy limit of quantum mechanics
#001: Classical mechanics as high entropy limit of quantum mechanics
Category: Quantum mechanics - Tags: Quantum information, Classical limit, Entropy Notes on current and past attempts
Prove or disprove the following conjecture: any sufficiently high en... | 4 | [
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Algorithm
Conceptually, the expectation maximization algorithm is simple: you take a guess at the values you want to find, then run your calculations as though they were correct. Then, use those results to
improve your guess.
What is the expectation maximization algorithm?
That article does a good job... | 4 | [
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Online Calculus 2 Course for College Credit - Distance
New! DMAT 431 - Computational Abstract Algebra with MATHEMATICA!
Asynchronous + Flexible Enrollment = Work At Your Own Best Successful Pace = Start Now!
Earn Letter of Recommendation • Customized • Optional Recommendation Letter Interview
Mathematica/LiveMath Co... | 4 | [
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Magnet
previous index next
30. Magnetostatics I: Dipoles, Ampere's Law, Biot-Savart
Definition of Magnetic Field $\stackrel{\to }{B}$
Notation! The Lorentz force on a charge $q$ moving at velocity $\stackrel{\to }{v}$ from an electric field and a magnetic field in vacuum is observed to be
... | 4 | [
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The ODE / IM correspondence and PT symmetric quantum mechanics
(1)
23 July 2021
Original Citation:
The ODE / IM correspondence and PT symmetric quantum mechanics
Publisher:
Published version:
DOI:10.1007/978-94-010-0514-2_2
Terms of use:
Open Access
(Article begins on next page)
Anyone can freely access the f... | 4 | [
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Texas Go Math Grade 8 Module 14 Quiz Answer Key
Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 8 Module 14 Quiz Answer Key.
Texas Go Math Grade 8 Module 14 Quiz Answer Key
Texas Go Math Grade 8 Module 14 Ready to ... | 4 | [
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Atmospheric tides are global-scale periodic oscillations of the atmosphere. In many ways they are analogous to ocean tides. They can be excited by:
General characteristics
edit
The largest-amplitude atmospheric tides are mostly generated in the troposphere and stratosphere when the atmosphere is periodically heated... | 4 | [
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Save 90% of energy lost, continuous exterior rigid insulation | Thermal Monk
Save 90% of energy lost, continuous exterior rigid insulation
Step by step calculation on energy savings for a exterior rigid insulation. One change to approaching insulation; 92% saving from energy lost
Well there is a lot of hype on contin... | 4 | [
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A research on the dynamic characteristics of axially moving beam under thermal shock
Abstract
The transverse vibration characteristics are studied for an axially moving beam, which is immovably simply supported at both ends and subjected to a thermal shock. Based on Timoshenko beam theory and
Hamilton principle, the g... | 4 | [
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Bayes' Rule
(This post acts as sort of a prequel to
my post on Bayesian inference
)
I've talked enough about it, so I figured I would make an actual post on a probability rule that I've been using quite a bit - Bayes' rule.
Purpose
I want to jump straight into a probability example first. Much like the infield fly... | 5 | [
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PD Analytical Skills Test
Questions and Answers
This assessment will be to test your basic retail math and analytical skills.
• 1.
Use the following formulas to answer questions 1-3Retail $ - Cost $ = Mark Up $(Retail $ - Cost $) / Retail $ = Mark Up %Stephanie bought a sweater for $50 retail. Kohl's originall... | 4 | [
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0.043701171875,
-0.007354736328125,
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0.00988769531... | 13,702,757 | 13702757 | |
Rectangular Pyramid Calculator and Maker
Online calculator to calculate the slant heights, surface area, the volume and many other parameters of a pyramid given the dimensions of its rectangular base and its height. The calculator gives all
parameters necessary to make a pyramid with a rectangualr base. The net of the... | 4 | [
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... | 13,702,758 | 13702758 | |
res
5 Homoscedasticity
What this assumption means: The residuals have equal variance (homoscedasticity) for every value of the fitted values and of the predictors.
Why it matters: Homoscedasticity is necessary to calculate accurate standard errors for parameter estimates.
How to diagnose violations: Visually check ... | 5 | [
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How Much Do Couches Depreciate? (3 Couch Depreciation Methods)
There are three main ways to calculate the value of your old couch after taking depreciation into account, Constant Depreciation, Sum-of-years Depreciation, and Leather Depreciation. The most
commonly used way is to subtract 20% of the couch’s original cos... | 4 | [
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NCERT Solutions for Class 12 Moving Charges and Magnetism | Aasoka
The NCERT Solutions for Class 12th Physics are provided at Aasoka for the benefit of students. This helps in better exam preparation so that they can score good marks in their board exams in order to
get into their desired career. The students can clea... | 4 | [
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One-sample t-test in R with Examples
In this article, we will discuss how to do a one-sample t-test in R with some practical examples.
What is One-sample t-test for mean?
The one-sample t-test for the mean is used to test whether the population mean is equal to the pre-defined (standard/hypothetical) mean (μ) value... | 5 | [
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Confidence Interval
What is a Confidence Interval?
Statisticians use a confidence interval to describe the amount of uncertainty associated with a sample estimate of a population parameter.
How to Interpret Confidence Intervals
Suppose that a 90% confidence interval states that the population mean is greater than 10... | 5 | [
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Odds and Log Odds
In the previous segment, you saw that by trying different values of β0 and β1, you can manipulate the shape of the sigmoid curve. At some combination of β0 and β1, the ‘likelihood’ (length of yellow
bars) will be maximised.
Logistic Regression – Optimisation Methods (Optional)
The question is – how... | 4 | [
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MetricGate, LLC
Sign Test for Median Difference Between Two Samples
Overview
The Sign Test for Median Difference Between Two Samples is a non-parametric test used to compare the medians of two paired samples. This test is useful when the data is ordinal, or when the
assumptions of normality required by parametric tes... | 5 | [
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UGC NET November 2020 Paper-1
Comprehension
The following table shows the total number of students in the Department of the Institute along with the percentage of Females and Male students. Answer questions 1 to 5 based on the data given
below:
What is the ratio of the number of females in Civil and Electrical depar... | 4 | [
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Predictors / correctors · Bifurcation Analysis in Julia
The continuation method works with the following pattern (see ^[Allgower1990]):
1. compute tangent
2. call predictor (based on tangent, mostly)
3. call corrector
There are several couples predictor-tangent/corrector which can be used in BifurcationKit.jl as w... | 4 | [
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Ordination with predictors
Bert van der Veen
2023-09-18
Until recently, the gllvm R-package only supported unconstrained ordination. When including predictor variables, the interpretation of the ordination would shift to a residual ordination, conditional
on the predictors.
However, if the number of predictor varia... | 4 | [
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Wall Modeling
Large eddy simulation (LES) for turbulent flows is already less expensive than direct numerical simulation (DNS). However, it is still very expensive for wall bounded flows, where extremely fine grid
is required to resolve the very thin boundary layer so that the wall stress and wall heat flux can be pre... | 4 | [
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STEP Support Programme
Submitted by spacedino101 on Sun, 03/26/2017 - 22:20
I'm not exactly sure how to get to y=g(x) or y=h(x)?
I mean, I can sketch y in both cases, and I get that it's the arc tan function, but I'm just not 100% sure how to get there
I kind of get the gist but I'd like a 100% solid understanding i... | 5 | [
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... | 13,702,770 | 13702770 | |
Normal Distribution
The normal distribution curve is also referred to as the Gaussian Distribution (Gaussian Curve) or bell-shaped curve. Manufacturing processes and natural occurrences frequently create this type of
distribution, a unimodal bell curve.
A normal distribution exhibits the following:
68.3% of the popul... | 5 | [
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Sprinkler Flow Rate Calculator - Calculator Pack
Sprinkler Flow Rate Calculator
If you're looking to water your garden or yard using a sprinkler system, it's important to know the correct flow rate for your sprinkler. This will ensure that your plants receive the proper amount
of water without wasting any. But don't w... | 5 | [
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... | 13,702,772 | 13702772 | |
Solving Compound Inequalities
Learning Outcomes
• Solve compound inequalities – OR – express solutions both graphically and with interval notation
• Solve compound inequalities – AND – express solutions both graphically and with interval notation
Solve Compound Inequalities in the Form of “or”
As we saw in the l... | 4 | [
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Impulse Spatial-Temporal Domains in Semiconductor Laser with Feedback
Impulse Spatial-Temporal Domains in Semiconductor Laser with Feedback ()
1. Introduction
We consider semiconductor lasers or laser diodes [1] - [11] . The laser is inverted carrier density system. There exist carrier generation and recombination th... | 5 | [
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Iff Criterion for a Binary Quadratic Form to Have a Discriminant d
Iff Criterion for a Binary Quadratic Form to Have a Discriminant d
Theorem 1: Let $d \in \mathbb{Z}$. Then there exists a binary quadratic form with discriminant $d$ if and only if $d \equiv 0 \pmod 4$ or $d \equiv 1 \pmod 4$.
• Proof: $\Rightarrow... | 5 | [
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A116512 - OEIS
COMMENTS
a(n) = number of m's, 1 <= m <= n, where gcd(m,n) is a power of a prime (> 1).
We could also have taken a(1) = 1, but a(1) = 0 is better since there are no numbers <= 1 with the desired property. -
N. J. A. Sloane
, Sep 16 2006
FORMULA
Dirichlet g.f.: A(s)*zeta(s-1)/zeta(s) where A(s) is t... | 5 | [
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Decimal Calculator | Find the Decimal of Numbers - [100% Free]
Introduction to Decimal Calculator
Decimal calculator is an online tool that helps you to find the decimal addition, subtraction, and multiplication problems in a few seconds.
Our decimals calculator can determine logarithmic, and exponential all arithmet... | 4 | [
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Queuing Theory: Definition, History, Applications & Examples
Queuing theory: Definition, history & real-life applications & examples
Published: 15 May 2023
Updated: 21 Feb 2024
Queuing theory is a powerful tool to analyze the daily phenomenon of waiting in line. Discover how to define queuing theory, how it started,... | 5 | [
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FI CdComp Elements
FI CdComp General Description
The FI CdComp element is typically used to model flow through a circular hole in turbomachinery applications. This element is similar to a conventional orifice except that the Cd (Compressible Loss
Coefficient) is calculated based on the geometry and flow. “CdComp” ref... | 4 | [
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Expand tan(G + T)
Understand the Problem
The question is asking to expand the expression tan(G + T). This involves using the tangent addition formula to find the expanded form of the expression.
Answer
The expanded form of $\tan(G + T)$ is $$ \tan(G + T) = \frac{\tan G + \tan T}{1 - \tan G \tan T} $$
Answer fo... | 4 | [
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How do you condense 4 ln (x+4) - 5 ln x? | Socratic
How do you condense #4 ln (x+4) - 5 ln x#?
1 Answer
$\ln \left({\left(x + 4\right)}^{4} / {x}^{5}\right)$
Explanation:
To condense to a single log, we need to use the properties listed below
Sum to product: $\log A + \log B \iff \log \left(A B\right)$
Difference ... | 4 | [
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nt
Balbharati Maharashtra State Board Std 12 Commerce Statistics Part 1 Digest Pdf Chapter 6 Definite Integration Ex 6.1 Questions and Answers.
Maharashtra State Board 12th Commerce Maths Solutions Chapter 6 Definite Integration Ex 6.1
Evaluate the following definite integrals:
Question 1.
\(\int_{4}^{9} \frac{1}{\s... | 4 | [
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nt
Balbharti Maharashtra State Board Class 9 Maths Solutions covers the Practice Set 3.1 Geometry 9th Class Maths Part 2 Answers Solutions Chapter 3 Triangles.
Practice Set 3.1 Geometry 9th Std Maths Part 2 Answers Chapter 3 Triangles
Practice Set 3.1 Geometry 9th Standard Question 1.
In the adjoining figure, ∠ACD is... | 4 | [
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Rules Of Inference For Quantified Statements | Discrete Mathematics | Books | Skedbooks
Rules Of Inference For Quantified Statements
Introduction: We have discussed rules of inference for propositions.We will nowdescribe some important rules of inference for statements involving quantifiers. These rules of inference a... | 4 | [
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Practice Horn-SAT and DIMACS with the exercise "Horn-SAT solver"
Learning Opportunities
This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.
Statement
Goal
In formal logic, Horn-satisfiability, or Horn-SAT, is the problem of deciding whether a given Horn for... | 5 | [
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Combination of Cells - BrainDuniya
How combination of cells are done?
Sometimes a combination of cells are used in a circuit to get the desired EMF which is not possible by a single cell. These cells are connected in different combinations as –
1. Identical cells of same EMF connected in series.
2. Different cells ... | 4 | [
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0.01336669921875,
0.052734375,
0.0673828125,
0.0390625,
0.02734375,
-0.06201171875,
0.058837890625,
0.003753662109375,
-0.04833984375,
-0.012451171875,
-0.045654296875,
0.052... | 13,702,786 | 13702786 | |
Let the length of each side of the regular hexagon be ‘a’.
Area of a regular hexagon with side ‘a’ = 6 × √3/4 × (a)^2
Now, 6 × √3/4 × (a)^2 = √3/4 × (12)^2
⇒ a^2 = 24
⇒ a = 2√6
Hence, option (d).
2.
CAT 2020 QA Slot 1 | Geometry - Mensuration CAT Question
On a rectangular metal sheet of area 135 sq in, a circle... | 4 | [
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How to Determine If the Table Represents Direct Variation
HOW TO DETERMINE IF THE TABLE REPRESNTS DIRECT VARIATION
Definition of direct variation :
Two quantities x and y show direct variation when
y = kx
where k is a number and k ≠ 0.
How to determine if the table represents direct variation ?
• Take the input... | 4 | [
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Related Rates and Areas
alyssaac11 > 01-17-2020, 03:05 AM
Suppose that a square sheet of aluminum is placed in the hot sunIt begins to expand very slowly so that its diagonal is increasing at the rate of 1 millimeter per minuteAt the moment that the
diagonal is 100 millimeters, at what rate is the area increasing?The... | 5 | [
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0.0... | 13,702,789 | 13702789 | |
MATLAB Programming/Arrays/Basic vector operations - Wikibooks, open books for an open world (2024)
[MATLAB Programming\|/MATLAB Programming]m]
Chapter 1: MATLAB ._.
Introductions .
Fundamentals of MATLAB
MATLAB Workspace
MATLAB Variables
*.mat files
Chapter 2: MATLAB Concepts
MATLAB operator
... | 5 | [
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Squares on Sides of a Parallelogram
What is this about?
Problem
Let similarly oriented squares $ABGH,\;$ $BCIJ,\;$ $CDKL,\;$ and $ADEF\;$ be erected on the sides of a parallelogram $ABCD.$ Assume $U,V,W,Z\;$ are the midpoints of segments $FH,\;$ $GJ,\;$ $IL,\;$
and $KE,\;$ respectively.
Prove that the quadrilatera... | 5 | [
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59 Analytical Job Interview Questions And Answers
Analytical Interview Questions And Answers
Optimize your Analytical interview preparation with our curated set of 59 questions. These questions will test your expertise and readiness for any Analytical interview scenario. Ideal for candidates
of all levels, this collec... | 4 | [
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A New Hybrid Method Based on Pseudo Differential Operators and Haar Wavelet to Solve ODEs
(1)
Galley
Pro
of
Vol. 8, No. 1, (2018), pp 63–80 DOI:10.22067/ijnao.v8i1.48147
A New Hybrid Method Based
on Pseudo Differential Operators
and Haar Wavelet to Solve ODEs
M.B. Ghaemi∗, M. Jamalpour Birgani and E. Nabizadeh M... | 5 | [
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Simulation model of seat with implemented pneumatic spring
Abstract
This article deals with description of simulation model of a seat with pneumatic element inserted into its cushioning. Suggested solution comprises built-in pneumatic spring with feedback control
which influences the hardness of cushioning. The seat w... | 4 | [
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This page shows an example of a principal components analysis with footnotes explaining the output. The data used in this example were collected by Professor James Sidanius, who has generously
shared them with us. You can download the data set here.
Overview: The “what” and “why” of principal components analysis
... | 4 | [
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-0.0... | 13,702,795 | 13702795 | |
GCD (Greatest Common Divisor) | Exploit Notes
GCD (Greatest Common Divisor)
Last modified: 2023-08-29
The greatest common divisor is the largest number that divide two integers without a remainder. The Euclidean Algorithm is commonly used for computing GCD.
The following examples calculate the greatest common diviso... | 5 | [
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-0.052978515625,
0.03173828125,
-0.048... | 13,702,796 | 13702796 | |
Question #52b92 | Socratic
Question #52b92
1 Answer
The balance chemical equation is
2 ${C}_{2}$${H}_{6}$ + 7${O}_{2}$ ---> 4C${O}_{2}$ + 6${H}_{2}$O
as per the equation : 2 moles of ${C}_{2}$${H}_{6}$ needs 7 moles of ${O}_{2}$ .
moles of ${C}_{2}$${H}_{6}$ = Volume of ${C}_{2}$${H}_{6}$ / 22.4 L
moles of ${C}_{2... | 4 | [
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0.03... | 13,702,797 | 13702797 | |
Finite Union of Finite Sets is Finite
Theorem
Let $S$ be a finite set of finite sets.
Then the union of $S$ is finite.
The proof proceeds by induction.
Let $S$ be a finite set with cardinality $n$.
If $n = 0$ then $S = \O$, so $\bigcup S = \O$, which is finite.
Suppose that an arbitrary finite set with cardinal... | 4 | [
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-0.001281738... | 13,702,798 | 13702798 | |
IOI: The Hard Problem
The International Olympiad in Informatics (IOI 2010) is taking part this week at the University of Waterloo, Canada.
The olympiad often features a hard problem, which is intended to be solved by a handful of contestants. This year, the problem was solved by about 6 people. Read the problem below... | 4 | [
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