content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Pythagorean Triple Problem in Sub-linear Time
The Pythagorean triple problem is as follows. Given an input integer \(n\), return integers \(a\), \(b\), \(c\) such that the two following conditions hold:
$$ a b c = n $$ $$ a^2 + b^2 = c^2 $$
I was interested in finding a solution to this problem that was both succint... | 4 | [
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Chi-Square Test | Shiken
The Chi-Square Test: What it is and How it Works for Science Experiments
If you're doing an experiment and want to compare what you've measured against what you expected, you can use the Chi-Square test. First, you create a hypothesis and then convert it to a null
hypothesis, which says there ... | 4 | [
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How Good is Your System?
How good is a trading system? How can you compare the performance of two different systems and make a judgement as to which you would rather trade? Originally published in “Traders Magazine”, in this
article I explore the various different ways of assessing the merit of a trading strategy.
S... | 4 | [
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What is a transparent cell or structure in electronics? Most of us especially our colleagues involved in data converters, deal with such objects without noticing their transparent characters. The
best example is the famous R-2R ladder one finds in many ADC and DACs. How the R-2R is built and are there other similar ci... | 4 | [
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[This article was first published on
BioStatMatt » R
, and kindly contributed to
R-bloggers
]. (You can report issue about the content on this page
here
) Want to share your content on R-bloggers?
click here
if you have a blog, or
here
if you don't.
The code snippet below creates the above graphic:
## radi... | 4 | [
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Portfolio Optimisation
The Efficient Frontier is a common phrase in Modern Finance since the inception of Modern Portfolio Theory in 1952 by Harry Markowitz.
Intro to the Efficient Frontier
First step is to import data, this will be done by utilising the pandas_datareader module which has access to yahoo finance data... | 4 | [
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Specific heat of water is $4.2J{{(g{}^\
Hint: The energy required by water to increase its temperature can directly be calculated using the formula of specific heat of water. At the same time, energy of photons is calculated. The number of
photons required to heat the water is equal to the ratio of energy required to i... | 4 | [
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Do you really need to compute that matrix inverse?
7
The SAS/IML language provides two functions for solving a nonsingular nxn linear system A*x = c:
• The INV function numerically computes the inverse matrix, A^-1. You can use this to solve for x: Ainv = inv(A); x = Ainv*c;.
• The SOLVE function numerically co... | 5 | [
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wu :: forums - Number problem
wu :: forums
riddles
putnam exam (pure math) (Moderators: Icarus, Grimbal, william wu, towr, Eigenray, SMQ) « Previous topic | Next topic »
Pages: 1 2 Reply Notify of replies Send Topic Print
Author Topic: Number problem (Read 2680 times)
NightBreeze Number problem
Newbie « on... | 4 | [
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Coordinate geometry
In this page we will explain the topics for the chapter 7 of Coordinate geometry Class 10 Maths.We have given quality Coordinate geometry Class 10 Notes to explain various things so that students can
benefits from it and learn maths in a fun and easy manner, Hope you like them and do not forget to l... | 4 | [
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The Pigeonhole principle - 911 WeKnow
The Pigeonhole principle
Thinking Like a Mathematician
The quintessential counting argument
The pigeonhole principle is a simple, yet beautiful and useful idea. Given a set A of pigeons and a set B of pigeonholes, if all the pigeons fly into a pigeonhole and there are more pigeo... | 5 | [
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Understanding Logistic Regression - Uhura Solutions
We give a short introduction to the logistic regression model. Logistic regression is simply an extension of the linear regression model. We introduce a few new statistical concepts, but they are
relatively simple and within reach of anyone who can use linear models. ... | 5 | [
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What is the OEE indicator? - QRmaint
15.08.2019
What is the OEE indicator?
One of the most important key performance indicators is the OEE (Overall Equipment Effectiveness). This marker defines the total equipment effectiveness and allows the maintenance service to estimate
the effectiveness of the machine use at the... | 4 | [
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1.Introduction R.A.Mohamed, S.M.Abo-Dahab, andT.A.Nofal ThermalRadiationandMHDEffectsonFreeConvectiveFlowofaPolarFluidthroughaPorousMediuminthePresenceofInternalHeatGenerationandChemicalReaction ResearchArticle
(1)
Volume 2010, Article ID 804719,27pages doi:10.1155/2010/804719
Research Article
Thermal Radiation and ... | 4 | [
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A Treatise on Surveying,
2. Required the side of a square tract of land that shall contain 325 acres. Ans. 57 Chains.
PROBLEM II.
... | 4 | [
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Chemistry: Molarity and Solutions
Molarity and Solutions: Problem Set Overview
We have 14 ready-to-use problem sets on the topic of Molarity and Solutions. These problem sets focus on the use of the concept of concentration (most specifically molarity) in the analysis of
situations involving solution formation, dilu... | 4 | [
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Riddler: Can You Hunt For The Mysterious Numbers?
2021-01-22
This week’s FiveThirtyEight Riddler Classic offers a sudoku-like puzzle:
There are eight three-digit numbers — each belongs in a row of the table below, with one digit per cell. The products of the three digits of each number are shown in the rightmost... | 5 | [
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Raytracing the spheres
To generate a sphere the program scans through every pixel of the image and decides what colour it should change the pixel to. It does this by firing a ray from the camera through the centre of each
pixel in turn - a ray being a half line, that is a line with one end point. So the general probl... | 4 | [
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The Fundamental Lemma for the Shalika Subgroup of $GL(4)$search
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The Fundamental Lemma for the Shalika Subgroup of $GL(4)$
eBook ISBN: 978-1-4... | 4 | [
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Belly Button Biodiversity: Part Two
This is part two of a series of articles about a Bayesian solution to the
Unseen Species
problem, applied to data from the
Belly Button Biodiversity
project.
In
Part One
I presented the simplest version of the algorithm, which I think is easy to understand, but slow. In
Think... | 4 | [
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Transverse shear stiffness of beam in ABAQUS
Calculation of transverse shear stiffness
Definition
The effective transverse shear stiffness of the section of a shear flexible beam is defined in Abaqus as
\[{\overline K _{\alpha 3}} = f_p^\alpha {K_{\alpha 3}}\]
where \({\overline K _{\alpha 3}}\) is the section she... | 4 | [
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erspectivity
Projectivity.html , known also under the name harmonic homology),
defined by fixing a point O,called center, and a line (a), not containing O, called axis of the perspectivity. The perspectivity with this data, is defined by the following recipe. For each point X,
not coincident with O or (a), define the i... | 4 | [
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Tagebuch eines Interplanetaren Botschafters
The
posit number system
is a proposed alternative to floating point numbers. Having heard of posits a couple of times now, I'd like to take the time to digest them and, in the second half, write a bit about their
implementation in hardware. Their creator makes some bold cla... | 4 | [
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Calculating Cement, Sand, and Gravel for Platform Construction
What are the steps to compute for the cement (bags), sand (cu.m.), and gravel (cu.m.) required for the platform shown in the data?
To compute for the cement (bags), sand (cu.m.), and gravel (cu.m.), we need to calculate the volume of each shape and then ad... | 4 | [
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What are Relative Brier Scores and what problem do they solve?
In forecasting tournaments, the importance of fair and equitable scoring is paramount. If forecasters can gain an unfair advantage in scoring, then it undermines the goal of identifying the best
forecasters. A traditional Brier score can be effective for ... | 4 | [
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None
Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after
Patrice Lumumba (RUDN University)1743110.22363/2312-9735-2017-25-4-373-379Research ArticleIVC Calculation Problem fo... | 4 | [
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regular polygon
What is perimeter of regular polygon?
What is perimeter of regular polygon?
The perimeter of a regular polygon = (length of one side) × number of sides. Perimeter of a regular hexagon = 4 cm × 6. = 24 cm. Example 2: A pentagon has all sides equal to 6 cm.
How do you find the perimeter of a polygon w... | 4 | [
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751.23 Prestressed Concrete Double Tee Girders
Jump to navigation Jump to search
751.23.1 General
751.23.1.1 Material Properties
Concrete
Standard compressive strength for P/S Double Tee Girder shall be: ${\displaystyl... | 4 | [
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Can someone figure out this math/probability question??
Recommended Posts
Lorrie and I were rolling dice to see who gets the first roll/turn at a game of Yahtzee. We each rolled a single die and it came up with the same number 4X before we could start playing.
Now what's the chance of that happening??
4 minut... | 4 | [
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Sumerian Porters Pay Formula and eTCL Slot Calculator Demo Example, numerical analysis
This page is under development. Comments are welcome, but please load any comments in the comments section at the bottom of the page. Please include your wiki MONIKER and date in your comment with
the same courtesy that I will give ... | 5 | [
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Epistemic Foundations of Game Theory
1. Proof of Lemma 3.1
Lemma 3.1 Suppose that \(G=\langle N, \{S_i, u_i\}_{i\in N}\rangle\) is a strategic game. A strategy \(s_i\in S_i\) is strictly dominated (possibly by a mixed strategy) with respect to \(X\subseteq
S_{-i}\) iff there is no probability measure \(p\in \Delta(X)\... | 5 | [
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Section 7.6 in Matter and Interactions (4th edition)
Until now, you have only considered that energy changes from one state to another, but not the rate at which that change can occur. The rate at which energy changes is called power. In these notes,
you will read about the definition of power.
Consider climbing a f... | 4 | [
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he
NB The derivation and “intuitive” explanations of terms and concepts in this post are designed with a reader like myself in mind. I wrote this post so that I would have something to refer back to. I
have tried to make it accessible to outsiders, but if there are parts that just don’t make sense, consider it an insig... | 4 | [
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Multiloop Control Design for Buck Converter
This example shows how to tune the gains of a discrete PID controller in a cascade control configuration using systune.
This example is based on the article Cascade Digital PID Control Design for Power Electronic Converters. The article describes the workflow to tune the in... | 4 | [
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What are the vertical asymptotes of the graph y=(2x-6)/(x^3-x)? | Socratic
What are the vertical asymptotes of the graph #y=(2x-6)/(x^3-x)#?
1 Answer
$x = 0 , x = 1$ and $x = - 1$
The vertical asymptotes are where the denominator is equal to zero, because you can't divide by that.
So ${x}^{3} - x = 0$ is equivalent ... | 4 | [
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How do you transform y=1/x to y= (3x-2)/(x+1) ? | Socratic
How do you transform y=1/x to y= (3x-2)/(x+1) ?
The answer says it's a reflection in the x-axis, stretching by a scale factor of 5 and translate it by (-1.3) but how do I do it?
1 Answer
That's an interesting question! I've never done something like it befor... | 4 | [
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Alternative irrationality proofs
There’s a standard proof that $\sqrt{2}$ is irrational:
• Suppose $\sqrt{2} = \frac{p}{q}$, where $p$ and $q$ are coprime ((every fraction can be written this way));
• Then $q\sqrt{2} = p$, so $2q^2 = p^2$. Hence, $p^2$ is even – which can only be the case if $p$ is even.
• So, ... | 5 | [
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Permutation Vs Combination: Understanding The Fundamental Differences - LearnAboutMath
Permutation vs Combination: Understanding the Fundamental Differences
Permutation and combination are two mathematical methods applied to determine the number of scenarios in which we can variety items as well as which items are tak... | 4 | [
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(PDF) Thruster Fault Detection, Isolation and Accommodation for an Autonomous Spacecraft
Author content
All content in this area was uploaded by Robert Fonod on Oct 18, 2017
Content may be subject to copyright.
Thruster Fault Detection, Isolation and
Accommodation for an Autonomous
Spacecraft ⋆
R. Fonod ∗D. Hen... | 4 | [
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Symbolic Analysis
1 Affine Expressions of Reference Variables
2 Data-Flow Problem Formulation
3 Region-Based Symbolic Analysis
4 Exercises for Section 9.8
9.9 Summary of Chapter 9
We shall use symbolic analysis in this section to illustrate the use of region-based analysis. In this analysis, we track the values o... | 5 | [
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Effect of higher derivative terms on Wave equation
Overview
Introduction - Representation:Need to represent functions on computers - Introduce box functions - Intro to hat functions - Demo representation of sinx using hat functions: Aliasing, high frequency,
low frequency. Representation error as a global error. Deriv... | 4 | [
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Positive semidefinite Laplacians with negative edge weights – Race to the bottom — the OPTIM@EPFL blog
Let \(A \in \reals^{n \times n}\) (symmetric) be the adjacency matrix of an undirected graph, so that \(a_{ij}\) is the weight of the edge between nodes \(i\) and \(j\). The degree matrix \(D = \diag
(A\mathbf{1})\) i... | 4 | [
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11. [Tchebysheff's Inequality] | Probability | Educator.com
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while
watching the lecture.
Section 1: Probability by Count... | 5 | [
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OpenStax College Physics for AP® Courses, Chapter 6, Problem 1 (Test Prep for AP® Courses)
Question
Jupiter has a mass approximately 300 times greater than Earth's and a radius about 11 times greater. How will the gravitational acceleration at the surface of Jupiter compare to that at the surface
of the Earth?
a. Gr... | 4 | [
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Task
A mass point moves with a constant angular acceleration c[1] on a circular path of radius R. How big must the angular acceleration be so that the mass point comes to a standstill after one
revolution?
Given:
\[ \ddot \phi = c_1\]
\[\tag{IC 1} \dot \phi (t=0) = \omega_0\]
\[\tag{IC 2} \phi (t=0) = \phi_0\]
S... | 5 | [
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Claire M. Curry
Previously in this series:
Chapters 2 and 3 in Sokal and Rohlf's Biometry
.
I've decided to start putting up these in sections instead of by chapter. Chapter 4 covers descriptive statistics, such as statistics of location (such as mean and median that show the central
tendency of your population samp... | 5 | [
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Pearson Distribution
The Pearson distribution is a four-parameter distribution that has an arbitrary mean, standard deviation, skewness, and kurtosis. This distribution is often used to model asymmetric data that is
prone to outliers.
Statistics and Machine Learning Toolbox™ offers two ways to work with the Pearson d... | 5 | [
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Sequential decoding - BitcoinWiki
Sequential decoding
Sequential decoding is a limited memory technique for decoding . Sequential decoding is mainly used is as an approximate decoding algorithm for long constraint-length convolutional codes. This
approach may not be as accurate as the Viterbi algorithm but can save a ... | 4 | [
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Verification of Thevenin's Theorem - Free Electrical Notebook - Theory and Practical
Verification of Thevenin’s Theorem
Experiment No.: 1
Experment Name:
Use Voltmeter, Ammeter to Determine Equivalent Circuit Parameter in a Given Circuit by
Applying Thevenin’s Theorem.
Objective:
To verify Thevenin’s theorem.
The... | 5 | [
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A moment of neatness
Working through an FP2 question on telescoping sums (one of my favourite topics - although FP2 is full of those), we determined that $r^2 = \frac{\br{2r+1}^3-\br{2r-1}^3-2}{24}$.
Adding these up for $r=1$ to $r=n$ gave the fairly neat result that $24\sum_{r=1}^{n} r^2 = \br{2n+1}^3 - 1 - 2n$.
Now... | 4 | [
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What is the area of a hexagon with side a length of 14? | HIX Tutor
What is the area of a hexagon with side a length of 14?
Answer 1
#color(brown)("Area of hexagon " A_h = 36.37 " sq units"#
$\text{Area of equilateral triangle } {A}_{t} = \left(\frac{\sqrt{3}}{4}\right) {a}^{2}$
Sign up to view the whole answer
By... | 4 | [
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Hyperbolic Systems with Analytic Coefficients
Image from Google Jackets
Hyperbolic Systems with Analytic Coefficients [electronic resource] : Well-posedness of the Cauchy Problem / by Tatsuo Nishitani.
Series: Lecture Notes in Mathematics ; 2097Publisher: Cham : Springer International Publishing : Imprint: Springer, ... | 4 | [
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What is Profit Volume ratio (P/V ratio)?
A company determines the selling price of its products after calculating of the fixed cost, variable cost involved in productions and sales of the items produced by it. There are three other
important workings in the process viz. profit volume ratio, breakeven point and margin o... | 4 | [
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O
"Interesting" Triangles
Let's start with the example below:
1^2 = 1
11^2 = 121
101^2 = 10201
1001^2 = 1002001
10001^2 = 100020001
...
After:
1^2 = 1
11^2 = 121
111^2 = 12321
1111^2 = 1234321
11111^2 = 123454321
...
Exercises.
Create Python programs using the learned instructions to display ... | 4 | [
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... | 13,705,553 | 13705553 | |
Dibrugarh university - Business Statistics 2012
1. (a). Mention the characteristics of a good measure of dispersion.
(b) Calculate standard deviation for the following data:
┌───────────┬──┬──┬──┬──┬──┬──┐
│Mid. Value │15│25│35│45│55│66│
├───────────┼──┼──┼──┼──┼──┼──┤
│Frequency │18│22│40│32│18│10│
└───────────┴──┴... | 4 | [
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GSEB Solutions Class 11 Maths Chapter 11 Conic Sections Miscellaneous Exercise
Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 11 Conic Sections Miscellaneous Exercise Textbook Questions and Answers.
Gujarat Board Textbook Solutions Class 11 Maths Chapter 11 Conic Sections Miscellaneous Exercise
Questi... | 4 | [
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Limited Compute
Profitable trading with mean reversion
2024-07-19
We've been talking a bit about using models for predicting stock prices, but we haven't really talked much about trading strategy. Instead, we've implemented a simple strategy of:
1. Buy with our entire bankroll when the next day's closing price is p... | 4 | [
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A Generalized Data Detection Scheme Using ... - Semantic Scholar - P.PDFKUL.COM
IEEE TRANSACTIONS ON MAGNETICS, VOL. 45, NO. 10, OCTOBER 2009
3741
A Generalized Data Detection Scheme Using Hyperplane for Magnetic Recording Channels With Pattern-Dependent Noise Seiichi Mita and Vo Tam Van Toyota Technological Institut... | 4 | [
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Complementary Angles Class-9 Concise ICSE Maths Selina Solutions - ICSEHELP
Complementary Angles Class-9 Concise ICSE Maths Selina Solutions
Complementary Angles Class-9 Concise ICSE Maths Selina Solutions Chapter-25. We provide step by step Solutions of Exercise / lesson-25 Complementary Angles for ICSE Class-9th Co... | 4 | [
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: A Simulated 2-4 Tree
Subsections
9.2 RedBlackTree: A Simulated 2-4 Tree
A red-black tree is a binary search tree in which each node, , has a color which is either red or black. Red is represented by the value 0 and black by the value .
class Node<T> extends BinarySearchTree.BSTNode<Node<T>,T> {
byte c... | 4 | [
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Knowing how to factor radicals properly is important when it comes to dealing with factoring cube roots and square roots involving numbers.
A particularly helpful fact to remember is that, \sqrt{a} \times \sqrt{a} \space = \space \sqrt{a \times a }.
Which is that the square root of two numbers multiplied together, ... | 4 | [
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Sedimentation Tank Numerical | Water Supply Enginnerring
In this article, we will discuss the sedimentation tank numerical.
1. Formula
Vs = g(S-1) d^2/ 18γ ——-(i)
Where,
γ = Dynamic Viscosity
S = Specific gravity of the particle
d = Diameter of Particle
Vs = Settling Velocity
Temperature effect on settlemen... | 5 | [
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Bending Stress - BrainDuniya
What is called simple bending of a beam?
In previous articles, we have discussed about bending moment and different types of loading of beams. Stress developed in a beam depends upon the type of loading.
Simple bending or pure bending is a special condition of loading of a beam in which o... | 4 | [
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Probable Points and Credible Intervals, Part 2: Decision Theory
“Behind every great point estimate stands a minimized loss function.” – Me, just now
This is a continuation of Probable Points and Credible Intervals, a series of posts on Bayesian point and interval estimates. In Part 1 we looked at these estimates a... | 5 | [
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irc
In the case of circular motion, the material point moves along the trajectory of a circle of constant radius R around the fixed center of rotation O
Radius is the vector of the position of a point on a circle:
R = R(t) =R * (i*cos(Ѳ) + j*sin(Ѳ))
The time derivatives for speed and acceleration will have t... | 4 | [
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The mean and the standard deviation (s.d) of $10$ observations are $20$ and $2$ respectively. Each of these $10$ observations is multiplied by $p$ and then reduced by $q$, where $p \
Hint: In order to provide a solution for this problem, we need to assume the initial mean as ($\bar x$) and standard deviation as (${\sig... | 4 | [
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Coil-Winding Charts, August 1962 Electronics World
August 1962 Electronics World
Table of Contents
Wax nostalgic about and learn from the history of early electronics. See articles from Electronics World, published May 1959 - December 1971. All copyrights hereby acknowledged.
This is probably the handiest set of co... | 5 | [
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Probability, Combination, and Permutation on the GRE
Probability, Combination, and Permutation questions are relatively rare on the GRE, but if you’re aiming for a high percentile in the Quantitative section you should spend some time familiarizing
yourself with some of the more advanced concepts such as these. These t... | 4 | [
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\dfrac{{x + \
Hint- Solve the equation step by step by taking common and further factorizing the terms and taking common.
Given that:
$\dfrac{{x + \sqrt {{x^2} - 1} }}{{x - \sqrt {{x^2} - 1} }} - \dfrac{{x - \sqrt {{x^2} - 1} }}{{x + \sqrt {{x^2} - 1} }} = 8x\sqrt {{x^2} - 3x + 2} $
By taking LCM on the LHS and procee... | 4 | [
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Simple harmonic motion Homework Help, Questions with Solutions - Kunduz
Simple harmonic motion Questions and Answers
Physics
Simple harmonic motion
aps A particle is moving in a three dimensional potential F 1 5 2 nd the mass of the particle is then what is the energy of the particle in the lowed quan ibi More c LAV... | 5 | [
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Weight | Mini Physics - Free Physics Notes
Weight
Show/Hide Sub-topics (Mass, Weight & Density | O Level Physics)
Table of Contents
Weight
All bodies of matter near the surface of Earth experience gravitational force due to Earth’s gravitational field. This gravitational pull is commonly referred to as the weight... | 4 | [
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Fourier series method for the stability solution of simply supported thin beams on two-parameter elastic foundations of the Pasternak, Filonenko-Borodich, Hetenyi or Vlasov models
Abstract
The analysis of stability problems of beams on two-parameter foundations (Bo2PFs) is an important part of their design for compres... | 4 | [
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Speed of Sound - Equations
Sponsored Links
A disturbance introduced in some point of a substance - solid or fluid - will propagate through the substance as a wave with a finite velocity.
Acoustic Velocity and Speed of Sound
The velocity at which a small disturbance will propagate through the medium is called Acoust... | 5 | [
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Mortality Risk and Cash Value Growth
On these pages, I have written several articles on the internal return on Whole Life insurance (e.g. here and here). In my examples, I often show illustrations of performance from policies that were
taken out by someone in his mid-20s or 30s.
However, for a separate project, I re... | 5 | [
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Arithmetic
Given below are the Class 10 Maths word Problems for Arithmetic Progression
Question 1.
Find the sum of m terms of an A. P. whose n
^th
terms is given by $a_n = 5 - 6n$
Answer
Given $a_n = 5 - 6n$
$a_1= 5-6=-1$
$a_2= 5-12=-7$
Common difference = $a_2 - a_1= -7 +1 = -6$
Now
$S_m= \frac {m}{2}[2a + (m-1... | 4 | [
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a
Oceanography 540--Marine Geological Processes--Winter Quarter 2001
Marine Benthic Boundary Layers
Shear Stress
Physical and Geological Perspective
Sediment transport in the marine environment is driven by fluid motion. Some important transport mecha... | 4 | [
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an
A solid with an irregular shape and a mass of \(11.33 \mathrm{~g}\) is added to a graduated cylinder filled with water \((d=1.00 \mathrm{~g} / \mathrm{mL})\) to the \(35.0-\mathrm{mL}\) mark, After
the solid sinks to the bottom, the water level is read to be at the 42.3-mL mark. What is the density of the solid?
... | 4 | [
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Self-Similarity of Human Society Geometry. Self-Similarity of Wireless Networks
Get Complete Project Material File(s) Now! »
Mobility Estimation in Cellular Networks by Means of Stochastic Geometry
A preliminary study we have performed during the rst part of the Ph.D period consisted in the estimation of mobile user... | 4 | [
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How do you simplify 9sqrt 8 - sqrt72 + sqrt98? | Socratic
How do you simplify #9sqrt 8 - sqrt72 + sqrt98#?
1 Answer
Explanation:
Write the numbers under the roots as the product of their prime factors.
$9 \sqrt{8} - \sqrt{72} + \sqrt{98}$
=$9 \sqrt{2 \times 2 \times 2} - \sqrt{2 \times 2 \times 2 \times 3 \times 3... | 4 | [
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0.... | 13,705,578 | 13705578 | |
What is an integral? An integral is an integral of some sort which is a measure on the infinite set of variables. We say that an integral is an integration or sum of functions, or independent of the
variables. This is based on the concept of integral by the name of the integral, which was introduced by Paul Dirac for ... | 4 | [
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Mass Production. Topic: Inequalities. Level: Olympiad.
Problem
: (2000 IMO - #2) Let $a, b, c$ be positive real numbers so that $abc=1$. Prove that
$\left( a-1+\frac 1b \right) \left( b-1+\frac 1c \right) \left( c-1+\frac 1a \right) \leq 1$.
Solution
: The standard trick to solve the condition $ abc = 1 $ is to sub... | 5 | [
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Abstract Algebra
Hw12 Problem 11
Return to Homework 12, Glossary, Theorems
Problem: (+) An element $a$ in a ring $R$ is idempotent if $a^2 = a$.
1. Show that the set of all idempotent elements of a commutative ring is closed under multiplication.
2. Find all idempotents in the ring $\mathbb{Z}_4 \times \mathbb{Z}_... | 5 | [
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ystem of
Problem 701
Find the vector form solution $\mathbf{x}$ of the equation $A\mathbf{x}=\mathbf{0}$, where $A=\begin{bmatrix}
1 & 1 & 1 & 1 &2 \\
1 & 2 & 4 & 0 & 5 \\
3 & 2 & 0 & 5 & 2 \\
\end{bmatrix}$. Also, find two linearly independent vectors $\mathbf{x}$ satisfying $A\mathbf{x}=\mathbf{0}$.
Add to solve l... | 5 | [
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9 Facts On Current Divider Circuit & Current Division
What is current and voltage division?
Voltage and current divider
Current and voltage division are real-life examples of Kirchhoff’s laws. The current division takes place in a parallel circuit, while voltage division occurs in a series circuit.
What are the cu... | 5 | [
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More Than Two Players
9.4.2 More Than Two Players
The ideas of Section 9.4.1 easily generalize to any number of players. The main difficulty is that complicated notation makes the concepts appear more difficult. Keep in mind, however, that there are
no fundamental differences. A nonzero-sum game with players is form... | 4 | [
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-0.01318... | 13,705,584 | 13705584 | |
Strings of digits and prime numbers
This weekend, I attended a conference about geometry and topology. Last night was the conference banquet and there I was sitting in a table at dinner time with a bunch of mathematicians. After some
egg rolls and a wonton soup, and obvious topic made its appearance: prime numbers.
My... | 5 | [
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Notes on the Limitations of the Empirical Fisher ApproximationNotes on the Limitations of the Empirical Fisher Approximation
June 6, 2019
Notes on the Limitations of the Empirical Fisher Approximation
This post is a short not on an excellent recent paper on empirical Fisher information matrices:
I was debating with ... | 4 | [
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Tunnel Vision
How wide is this tunnel?
Problem
A tunnel is cut through a hillside, with a semi-circular cross-section.
A truck of height 6 m can just drive with its nearside wheels 2 m from the point where the curved roof meets the horizontal road surface.
How wide is the tunnel?
Student Solutions
Using a circle... | 4 | [
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-0.041015625,... | 13,705,587 | 13705587 | |
Linear velocity: what it is, formulas, examples and exercises
Linear velocity is a fundamental concept in physics used to describe how fast an object moves along a straight-line path. This magnitude is of great importance in daily life and in various scientific
disciplines such as physics, engineering and mechanics.
I... | 4 | [
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... | 13,705,588 | 13705588 | |
Mastering the Binomial Theorem: Formulas, Proofs, and Applications
Comprehensive Definition, Description, Examples & Rules
Introduction to the Binomial Theorem
A Binomial is a two-term algebraic expression, and the binomial theorem is a binomial force that can’t be extended by using algebraic identities. This conc... | 4 | [
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Introduction to Possibility Theory
Published on
Possibility theory is a subset of Dempster-Shafer theory (DST). If you’re not already familiar with DST, I recommend you check out my previous blog post since we’ll reuse a lot of the same concepts.
In Dempster-Shafer theory we start off with a mass function $m$ whi... | 5 | [
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Four Friends and Sheep
Question: Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they owned. It was found that Guran had ten more sheep than Lakha.
If Arjan gave one-third to Bhuvan, and Bhuvan gave a quarter of what he then held to Guran, who then passed on a fifth of his holding... | 4 | [
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Study Guide 15 - Turbulent, Bolus and Pulsatile Flows, Aneurysms
1.
The graph shows the blood flow speed in the saphenous artery of a dog with pulse frequency \(\mathrm {2.5 \;s^1.}\) The blood viscosity is \(\mathrm {4 \times 10^3\; N\; s\; m^2 }\)and the
thickness of the wall is \(\mathrm {10^3\; m.}\) Wha... | 4 | [
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Bit Flags | Glossary | GDQuest
For the computer, every number is a series of bits: ones and zeroes. A set of "bit flags" is a series of numbers that we can compare to each other. Say I have coins with the following values:
• Coin A has a value of 1
• Coin B has a value of 2
• Coin C has a value of 4
If I ask yo... | 4 | [
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... | 13,705,593 | 13705593 | |
gen weight = wtssall*oversamp gen gender = sex-1 gen bw = 0 if race==2 replace bw = 1 if race==1 replace bw = . if missing(race) gen blackwhite2000after=1 if year>=2000 & race==1 & hispanic==1
replace blackwhite2000after=0 if year>=2000 & race==2 & hispanic==1 gen blackwhite2000before=1 if year<2000 & race==1 replace ... | 4 | [
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-0.... | 13,705,594 | 13705594 | |
plt.plot( 'elevation_difference', 'time_diff', data=splits, linestyle='', marker='o', markersize=3, alpha=0.1, color="blue")
In most cases the elapsed time and moving time are close, but there are a significant number of points where they are different. What causes this? Time spent stationary or with little movemen... | 4 | [
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Using the Ratio Test to Determine Convergence
Question Video: Using the Ratio Test to Determine Convergence Mathematics • Higher Education
Consider the series ∑_(𝑛 = 0)^(∞) 𝑎_𝑛, where 𝑎_𝑛 = (𝑛 + 𝑏)!/𝑐^𝑛 for some integers 𝑏, 𝑐 > 1. Calculate lim_(𝑛 → ∞) |(𝑎_(𝑛 + 1))/𝑎_(𝑛)|. Hence, decide whether the ser... | 5 | [
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How do i compute for the volume if the density of ore is not given?
•
• Thread starter raisatantuico
• Start date
In summary, by using the equation for buoyancy and knowing the weight of the object in air and the tension in the cord when it is immersed in water, the volume of the object can be calculated by
di... | 4 | [
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expression
Vector expressions
This example show how to use expressions to do complex calculation on particles
Initialization
He define some useful constants
constexpr int A = 0;
constexpr int B = 1;
constexpr int C = 2;
Derivative second order on h (spacing)
Kernel function
We define a kernel function. In gen... | 4 | [
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Polynomials - Algebra 1
All Algebra 1 Resources
Example Questions
Example Question #6 : Solving By Factoring
Correct answer:
Explanation
:
You can factor this trinomial by breaking it up into two binomials that lead with
You will fill in the binomials by finding two factors of 36 that add up to 5. This is achie... | 4 | [
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-... | 13,705,599 | 13705599 |