content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Introduction
Introductory narrative or video
Objectives
Upon completion of this lesson students should be able to:
• Differentiate between different type metallurgical accounting methods and benefit of metallurgical accounting.
• Recall the definitions of grade, recovery, yield and other characteristics used i... | 5 | [
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Problem of quadratic equation with two variables
•
• Thread starter Sumedh
• Start date
In summary, the conversation discusses rearranging an equation and finding the discriminant for the purpose of solving a binomial. The main concept is finding the product of two identical terms from
the discriminant in orde... | 4 | [
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Let us suppose that the first-year salaries of Hamilton college
graduates follow a normal distribution with...
Let us suppose that the first-year salaries of Hamilton college graduates follow a normal distribution with...
Let us suppose that the first-year salaries of Hamilton college graduates follow a normal distrib... | 5 | [
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Rotation in Geometry - Explanation and Examples
Rotation in Geometry — Examples and Explanation
The given point can be anywhere in the plane, even on the given object. The angle of rotation will always be specified as clockwise or counterclockwise.
Before continuing, make sure to review geometric transformations and ... | 4 | [
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785. Is Graph Bipartite?
Reference: LeetCode
Difficulty:
Problem
Check if a graph is bipartite? The graph could be disconnected.
Note: There are no self edges or parallel edges.
Example:
1 Example 1:
2 Input: [[1,3], [0,2], [1,3], [0,2]]
3 Output: true
4 Explanation:
5 The graph looks like this:
6 0---... | 4 | [
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Unit 6 Stoichiometry Section 3 Stoichiometry Mole Mole
Download presentation
Unit 6: Stoichiometry Section 3: Stoichiometry - Mole: Mole and Gram: Gram
Stoichiometry • Branch of chemistry that involves using known ratios of products and reactants to determine unknown data in a chemical reaction – Chemists use stoich... | 4 | [
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Higher-order organization of complex networks
19 Nov 2017
Introduction
• The paper presents a generalized framework for graph clustering (clusters of network motifs) on the basis of higher-order connectivity patterns.
Approach
• Given a motif M, the framework aims to find a cluster of the set of nodes S such t... | 4 | [
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The factoring square roots and cube roots page showed how to factor radicals that contain numbers.
But we can also perform simplifying radical expressions with variables as well as with numbers.
Since radicals appear very often in Algebra topics, knowing how to factor with variables is also a key skill to learn.
Fac... | 4 | [
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Exercises - Index Arithmetic
Solve the following congruence: $6x^{12} \equiv 11\pmod{17}$
Trying to isolate the $x$, we multiply both sides of the congruence by the multiplicative inverse of $6$ modulo $17$, which we quickly determine to be $3$, by inspection.
$$3 \cdot 6 x^{12} \equiv 3 \cdot 11 \pmod{17}$$ or equiv... | 5 | [
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Bernoulli Equation | Brilliant Math & Science Wiki
The Bernoulli differential equation is an equation of the form \(y'+ p(x) y=q(x) y^n\). This is a non-linear differential equation that can be reduced to a linear one by a clever substitution. The
new equation is a first order linear differential equation, and can be s... | 5 | [
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Statistical Analysis and Confidence Intervals | Exams Nursing | Docsity
Download Statistical Analysis and Confidence Intervals and more Exams Nursing in PDF only on Docsity! 1 That is correct! That is correct! Answer: ( 0.10, 0.18) Week 6 Quiz Question 1 A statistics
professor recently graded final exams for students i... | 5 | [
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Integral calculator online - double antiderivative calcutation with steps
Free Integral Calculator Online
Integral Calculation
Integral calculus emerged when the scientists were searching how to compute the areas of surfaces, plane figures, solid body volumes, and addressed problems in hydrodynamics, statistics and o... | 4 | [
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The Binomial Theorem: A Comprehensive Guide - Benefits In Mind
Are you struggling to understand the concept of the binomial theorem? Fear not, as we’re here to guide you through everything you need to know about this fundamental theorem of algebra. From its
basic definition to its real-life applications, we’ve got you ... | 4 | [
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Fac
Factorial of a number using Recursion
Factorial of a number is defined as the product of natural numbers starting from 1 to the number that we want to find factorial for. Mathematically, it is defined as follows.
n! = 1*2*3*4* . . . . . .*(n-1)*n
For example, 5!= 1*2*3*4*5=120
Algorithm or Mathematical Generati... | 4 | [
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Contributed by: The White Rabbit
Suppose that an experiment can have only 2 possible outcomes. This is known as a Bernoulli trial. In general the outcomes are success or failure.
If P is the probability of success, and q is the probability of
failure then p+q=1
Many Problems can be solved by determining the probabi... | 4 | [
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Linear Equation In Two Variables Solution of TS & AP Board Class 9 Mathematics
Exercise 6.3
Question 1.
Draw the graph of each of the following linear equations.
2y = -x + 1
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values... | 4 | [
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The Elements of Euclid
To draw a straight line at right angles to a given straight line, from a given point in the same.
Let AB be a given straight line, and C a point given in it; See N. it is required to draw a straight line from the point... | 4 | [
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Statistics/Multivariate Data Analysis - Wikibooks, open books for an open world
The multivariate normal is just an extension of the normal distribution to the multivariate case. The simplest definition of the multivariate normal distribution can be given as follows:
Definition (Multivariate Normal Distribution):
A ra... | 4 | [
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Data Science Assignment Help | Practice Set
In this we will provide the many practice task which useful to increase your skills in machine learning and data science.
If you need any help then you can contact us by sending the mail at: realcode4you@gmail.com , our expert provide better help with an affordable price, he... | 5 | [
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COORDINATE GEOMETRY: How to find the coordinates & ratios by section formula?
INTRODUCTION:-
We had study two blogs of coordinate geometry in which we learned COORDINATE GEOMETRY: How to find the distance between two points by Distance Formula? & COORDINATE GEOMETRY: How to find the area of
a triangle in the Cartesian... | 4 | [
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Fluid Mechanics ppt video online download
2 Hydraulic and Energy Grade LinesEGL:- Energy Grade line indicate the total head at any point in the system. 𝐸𝐺𝐿= 𝑉𝑒𝑙𝑜𝑐𝑖𝑡𝑦 ℎ𝑒𝑎𝑑 + 𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒 ℎ𝑒𝑎𝑑 + 𝐸𝑙𝑒𝑣𝑎𝑡𝑖𝑜𝑛 𝐻𝑒𝑎𝑑 𝐸𝐺𝐿= 𝑣 2 2∗𝑔 + 𝑝 ɣ +𝑍 HGL:- Hydraulic
Grade Line indicate the piezometr... | 5 | [
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-
Funny sum :)
source link: https://codeforces.com/blog/entry/125796
Go to the source link to view the article. You can view the picture content, updated content and better typesetting reading experience. If the link is broken, please click the button below to
view the snapshot at that time.
Let — mi... | 4 | [
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RD-E: 2500 Spring-back
An explicit stamping simulation is followed by a spring-back analysis using implicit or explicit solvers for stress relaxation.
Figure 1.
The spring-back simulation of sheet metal bent into a hat-shape is studied. The problem is one of the famous tests from the Numisheet'93. As spring-back... | 4 | [
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How do you solve (9)^(2k) = (3^5)^k? | HIX Tutor
How do you solve #(9)^(2k) = (3^5)^k#?
Answer 1
#(9)^(2k) = (3^5)^k#
#(3^2)^(2k) = (3)^(5*k)#
#(3)^(2*2k) = (3)^(5k)#
#(3)^(4k) = (3)^(5k)#
#4k = 5k \implies k = 0#
Sign up to view the whole answer
By signing up, you agree to our Terms of Service and Privacy Poli... | 4 | [
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How do you find the Limit of sqrt (x -1) / (sqrt(x+3) - 2) as x approaches 1? | HIX Tutor
How do you find the Limit of #sqrt (x -1) / (sqrt(x+3) - 2) # as x approaches 1?
Answer 1
Rationalizing the denominator
#sqrt (x -1) / (sqrt(x+3) - 2) = (sqrt(x-1)(sqrt(x+3)+2))/(x-1) =(sqrt(x+3)+2)/sqrt(x-1)#
#lim_{x->1}sqr... | 4 | [
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The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes
The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes ()
1. Introduction
Thermal wave is reaction-diffusion equation that plays an ever-increasi... | 5 | [
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Angle
Jump to navigation Jump to search
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.^[1] Angles formed by two rays lie in a plane,
but this plane does not have to be a Euclidean plane. Angles are also formed by ... | 4 | [
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Simplifying Linear Statistical Models with R: Effective Strategies
Avail Your Offer
Unlock success this fall with our exclusive offer! Get 20% off on all statistics assignments for the fall semester at www.statisticsassignmenthelp.com. Don't miss out on expert guidance at a
discounted rate. Enhance your grades and con... | 5 | [
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Sniffer Technique for Numerical Solution of Korteweg-de Vries Equation Using Genetic Algorithm
Sniffer Technique for Numerical Solution of Korteweg-de Vries Equation Using Genetic Algorithm ()
1. Introduction
Dynamical systems involving Ordinary Differential Equations (ODEs) occur in many branches of science, includ... | 4 | [
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balance
Returns a matrix with rows and columns of roughly equal magnitude.
Syntax
AA = balance(A)
AA = balance(A, opt)
[DD, AA] = balance(A, opt)
[D, P, AA] = balance(A, opt)
Inputs
A
The matrix to balance.
Type: double
Dimension: matrix
opt
The options are:
'p' or 'noscal' to permute, but n... | 5 | [
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Episode 129: Discharge of a capacitor
Capacitance
Electricity and Magnetism
Episode 129: Discharge of a capacitor
Lesson for 16-19
• Activity time 220 minutes
• Level Advanced
Students will have already seen that the discharge is not a steady process in episode 125, but it is useful to have graphical evidence ... | 5 | [
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More Website Templates @ TemplateMonster.com - September08, 2014!
Just Do it a Lot and Take the Average!
16^th February 2016
As part of our MRes course, we are currently producing a poster on an aspect of the Simulation Master Class given by Professor Barry Nelson in January. The aspect that our group have chosen t... | 4 | [
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Question #56893 | Socratic
Question #56893
1 Answer
$\left(\begin{matrix}a & b & c \\ 1 & \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} \\ 1 & - \frac{\sqrt{2}}{2} & - \frac{\sqrt{2}}{2} \\ - 1 & \frac{\sqrt{2}}{2} & - \frac{\sqrt{2}}{2} \\ - 1 & - \frac{\
sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{matrix}\right)$
Explanation:
... | 5 | [
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Tin of beans
Newton's Law of Gravitation
Earth and Space
Tin of beans
Classroom Activity for 11-14
What the Activity is for
The aims are to establish the strength of the gravitational field at the Earth's surface and to appreciate that the strength of the gravitational field will be different at the surface of oth... | 4 | [
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CS代考程序代写 algorithm computational biology distributed system Lecture 11 cont’d:
Lecture 11 cont’d:
NP and Computational Intractability
The University of Sydney
Page 1
Definition of the class NP
Class NP: Decision problems for which YES-instances have a poly-time certifier.
Certification algorithm intuition.
– Certifie... | 4 | [
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If the number 670458x9595y is divisible by 144, then find the value of
If the number 670458x9595y is divisible by 144, then find the value of √2x+3y
The correct Answer is:C
To solve the problem, we need to find the values of x and y such that the number 670458x9595y is divisible by 144. Since 144=9×16, we will check ... | 4 | [
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calibration_data_file
calibration_data_file
Supply scalar calibration data only
Specification
• Alias: least_squares_data_file
• Arguments: STRING
• Default: none
Child Keywords:
Required/Optional Description of Group Dakota Keyword Dakota Keyword Description
... | 4 | [
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Unlevered Beta: Definition, Formula, Example, And Calculation
Home>Finance>Unlevered Beta: Definition, Formula, Example, And Calculation
Unlevered Beta: Definition, Formula, Example, And Calculation
Published: February 14, 2024
Learn about the definition, formula, example, and calculation of unlevered beta in financ... | 4 | [
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I had some difficulty with the “Logic and Codes” section, since neither Prolog or Scala are really all that lisp like.
Here’s my answer for 46. Many thanks to Brian Carper for responding to my StackOverflow question. It really helped me to reformulate this question with more of a clojure style than a Scala or Prolog
... | 5 | [
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Present Value
top of page
Barbican Consulting Limited
Present Value
Present Value - What is it?
A dollar paid to you now is worth more than one paid to you in the future. Why? Because if you had a dollar now you could invest it and earn interest. Simple enough but exactly how much is money
worth today when it is pa... | 4 | [
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How do you find the constant a so that the function is continuous on the entire real line given f(x)=4, x <= -1, ax +b, -1< x <1 and 6, x>=1#? | Socratic
How do you find the constant a so that the function is continuous on the entire real line given #f(x)=4, #x <= -1#, ax +b, -1< x <1 and 6, #x>=1#?
1 Answer
We have ... | 4 | [
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if a 170 g mass on a 2.0-m-long string is pulled 9.0 ∘ to one
side...
if a 170 g mass on a 2.0-m-long string is pulled 9.0 ∘ to one side...
if a 170 g mass on a 2.0-m-long string is pulled 9.0 ∘ to one side and released.then How long does it take for the pendulum to reach 3.0 ∘ on the opposite side?
since at t=0 ,the... | 4 | [
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Travel on airless worlds
When we get to other worlds how will we get from point A to B? There are no roads on Ceres. No rivers or oceans on the moon. No airports on Enceladus or even air for an airplane to glide on.
Until transportation infrastructure is built, suborbital hops seem the way to go. A suborbital hop is a... | 5 | [
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er
Problem Model Prompt
P_Combinatorics_24 PaLM 2 Medium No C w/ H
Ground Truth Answer: No
Use in Code
import champ_dataset # "pip install champ-dataset" if necessary
dataset = champ_dataset.load('v0')
problem = dataset['P_Combinatorics_24']
messages = problem.conversations['PaLM 2 Medium|No C... | 4 | [
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Analysing different statistical representations | Oak National Academy
Good day to you all.
I'm Mr. Gratton and welcome to another maths lesson.
In today's lesson, we will look at different statistical representations as a means of comparing two data sets.
Pause here to have a quick look at the definitions of statis... | 4 | [
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OA 학술지
The geometrical theory of diffraction (GTD) [1] has played a prominent role in high-frequency analysis of electromagnetic scattering and diffraction. The asymptotic diffraction coefficients of a
perfectly conducting wedge, which was rigorously derived more than one century ago, laid the foundation of the GTD tec... | 4 | [
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Cross Power Spectral Density Spectrum for Noise Modelling and Filter Design
Key Takeaways
• Cross power spectral density ❲CPSD❳ is the Fourier Transform of the cross-correlation function. Cross-correlation function is a function that defines the relationship between two random signals.
• The cross power spectral... | 4 | [
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Descriptive Data Methods - Blog My Essay Writer
For sum of all the elements along an axis, the following function returns the sum of array elements over the specified axis:
Sum(arr, axis, dtype, out).
The parameters for the function include:
Arr as the input array
Axis along which the sum value will be computed. Ot... | 4 | [
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critical speed of ball mill depends on examveda
•
Commerce. Management. Law. Philosophy. Agriculture. Sociology. Political Science. Pharmacy. In case of a ball mill, a) Coarse feed requires a larger ball b) Fine feed requires a larger ball c)
Operating speed should be more than the critical speed d) None o... | 5 | [
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Parallel Operation of Transformers
Introduction: For supplying a load in excess of the rating of an existing transformer, two or more transformers may be connected i...
Introduction:
• For supplying a load in excess of the rating of an existing transformer, two or more transformers may be connected in parallel wi... | 5 | [
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Code optimization of genetic algorithm with constraints
preface
This paper mainly records some thunder I stepped on in the process of optimizing constrained genetic algorithm, as well as some problems needing attention. The main part of the optimization code can
be seen in the previous article( Using the deep learning... | 4 | [
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A gentle introduction to the FFT
Some terms: The Fast Fourier Transform is an algorithm optimization of the DFT—Discrete Fourier Transform. The “discrete” part just means that it’s an adaptation of the Fourier Transform, a
continuous process for the analog world, to make it suitable for the sampled digital world. Most... | 4 | [
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Comparison of Four Electrical Interfacing Circuits in Frequency Up-Conversion Piezoelectric Energy Harvesting
^1
School of Intelligent Manufacturing, Panzhihua University, Panzhihua 617000, China
^2
School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610032, China
^*
Authors to whom correspon... | 4 | [
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KSEEB SSLC Class 10 Maths Solutions Chapter 10 Quadratic Equations Ex 10.4 are part of KSEEB SSLC Class 10 Maths Solutions. Here we have given Karnataka SSLC Class 10 Maths Solutions Chapter 10
Quadratic Equations Exercise 10.4.
Karnataka SSLC Class 10 Maths Solutions Chapter 10 Quadratic Equations Exercise 10.4
Que... | 4 | [
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Converging Streams and Emerging Themes
4
Converging Streams and Emerging Themes
The essence of knowledge is generalization. That fire can be produced by rubbing wood in a certain way is a knowledge derived by generalization from individual experiences; the statement means that
rubbing wood in this way will alway... | 4 | [
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Module 3 – Mathlets in Homework - MIT Mathlets
Module 3 – Mathlets in Homework
Each segment of this module consists of sample homework assignments created around one or another of the MIT Mathlets. Each segment is followed by questions, my remarks about the features of the
Mathlets, and examples that illuminate their ... | 5 | [
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y
Apply the rules for exponents. Write each result with only positive exponents. Assume that all variables represent nonzero real numbers. See Section 5.1. $$ \left(\frac{2}{3}\right)^{-3} $$
Short Answer
Expert verified
\( \left( \frac{2}{3} \right)^{-3} = \frac{27}{8} \)
Step by step solution
01
- Rewrite the... | 4 | [
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0.071... | 13,704,856 | 13704856 | |
IntroductionThe IMLS ApproximationThe IEFG Method for 2D Anisotropic Steady-State Heat Conduction ProblemsNumerical ExamplesThe error of numerical solutions of the IEFG method with the increase of nodesThe error of numerical solutions of the IEFG method with the increase of dmaxThe error of numerical solutions of the I... | 5 | [
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es
bitget
Extracts from integers bits of given indices
Parameters
x
Scalar, vector, matrix or hypermatrix of positive decimal or encoded integers.
pos
Scalar, vector, matrix or hypermatrix of decimal or encoded integers in [1, bitmax] where bitmax is the maximal index of bits for the type of x: Indices of bi... | 5 | [
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0.0181884... | 13,704,858 | 13704858 | |
The base of a triangle is 4 cm greater than the height. The area is 30 cm^2. How do you find the height and the length of the base? | HIX Tutor
The base of a triangle is 4 cm greater than the height. The area is 30 cm^2. How do you find the height and the length of the base?
Answer 1
Height is $6$$c m .$ and base is ... | 4 | [
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... | 13,704,859 | 13704859 | |
Chaotic Pendulum
Chaotic Pendulum
A damped driven pendulum is a chaotic system. In a chaotic system the future behavior is highly dependent on the exact value of the initial conditions. A tiny change in initial conditions can cause
huge changes after a short period of time.
Click the "Sim" tab to access parameters... | 4 | [
-0.01708984375,
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Binomial Probability Distribution Family
A Binomial Probability Distribution Family, [math]\displaystyle{ B(n,p) }[/math], is a finite support discrete probability distribution family for a binomial random variable.
• Context:
• Example(s):
• Counter-Example(s):
References
2015
• (Wikipedia, 2015) ⇒ http://... | 4 | [
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Fourier Series, Fourier Transforms, and Function Spaces: A Second Course in Analysissearch
Item Successfully Added to Cart
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Please make all selections above before adding to cart
Fourier Series, Fourier Transforms, and Function Space... | 4 | [
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Verify that 3, ‒2, 1 are the zeros of the cubic polynomial p(x) = x 3 – 2x 2 – 5x + 6 and verify the relation between its zeros and coefficients.
It is given in the question that,
p (x) = x^3 – 2x^2 – 5x + 6
Also, 3, -2 and 1 are the zeros of the given polynomial
∴ p (3) = (3)^3 – 2 (3)^2 – 5 (3) + 6
= 27 – 18 – 15... | 4 | [
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A Fantastic Introduction to the Concept of Bayesian Statistics
All you need to know to solve this Cambridge University entrance problem is Bayes’ Theorem
I recently came across this very hard looking and creatively articulated problem in an old entrance examination paper for Cambridge University. When I first looked ... | 5 | [
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Linear Equations: Solving and Graphing Techniques
Algebra, Graphing Linear Equations, Linear Equations, Math Techniques, Solving Linear Equations
Linear equations are key in math and used in many areas. We will look deeply into techniques for solving and graphing linear equations. This includes solving systems of lin... | 4 | [
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Math 118 - lectures
1.1: Real Numbers
Real Numbers
Let's review what the real numbers are.
The natural numbers look like $1, 2, 3, 4, 5, \dots$.
Integers comprise of the natural numbers, their negatives, and zero: \[\dots, -3, -2, -1, 0, 1, 2, 3, \dots\]
Rational numbers are all possible ratios of integers. They l... | 4 | [
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entrance
Reconciliation of friction losses at entrances, exits and
diameter changes with Bernoulli's Equation
Copyright © Harvey Wilson - Katmar Software
... | 5 | [
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Research on the oscillation of cooling grills used for terminal devices for voice communication control systems used by air traffic controllers
Abstract
During this research, the analytical and numerical oscillation models have been deduced of cooling grills of terminal devices for voice communication control systems ... | 4 | [
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Measurement in quantum mechanics
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Philosophy Index: Aesthetics · Epistemolog... | 4 | [
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Orient BlackSwan
This is an introductory textbook on electromagnetic fields suitable for undergraduate engineering courses in electrical engineering. It adopts a straightforward approach of presenting theoretical
concepts in brief and using several worked-out examples of varied kinds to provide a further understanding... | 4 | [
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How overtime works
Understanding Overtime Pay Calculations for Restaurant Hourly Employees
Navigating overtime pay calculations for hourly employees in the restaurant industry can be complex, but understanding the process is crucial for both employers and employees. In this article, we
will break down how to calculate... | 4 | [
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an-n-ball-between-n-balls
There is a geometric thought experiment that is often used to demonstrate the counterintuitive shape of high-dimensional phenomena. This article is an interactive visual journey into the construct in
the thought experiment, and the mathematics behind it.
We start with a $4 \times 4$ square. T... | 4 | [
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5.1 Quadratic Functions - College Algebra 2e | OpenStax
In this section, you will:
• Recognize characteristics of parabolas.
• Understand how the graph of a parabola is related to its quadratic function.
• Determine a quadratic function’s minimum or maximum value.
• Solve problems involving a quadratic functio... | 4 | [
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03 Linear Dependence and Independence
Lecture from 25.09.2024 | Video: Videos ETHZ
Related to: Linear Combinations
Vectors in are said to be linearly dependent if at least one of them is a linear combination of the others. This means there exists some index and scalars such that:
If no such scalars exist, the vector... | 5 | [
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sum-of-distances-in-tree | Leetcode
Similar Problems
Similar Problems not available
Sum Of Distances In Tree - Leetcode Solution
LeetCode: Sum Of Distances In Tree Leetcode Solution
Difficulty: Hard
Topics: dynamic-programming tree depth-first-search graph
The Sum of Distances in Tree problem on LeetCode asks ... | 5 | [
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Note
(Ω_r/Ω_m) ≅ (a_e/a) = (t_e/t)**(2/3)
(Ω_r/Ω_m)_rec ≅ (a_e/a_rec) = (t_e/t_rec)**(2/3) = (1/8)**(2/3) = 1/4
So at the recombination era radiation is ∼ 1/4 of matter in mass-energy. However,
E_rad = a*T**4 = a*4000**4 = [(7.56573345 ...)*10**(-23)]*256*10**12 = 2.5*10**(-8) J... | 5 | [
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0.052... | 13,704,876 | 13704876 | |
In mathematics, a dyadic rational or binary rational is a number that can be expressed as a fraction whose denominator is a power of two. For example, 1/2, 3/2, and 3/8 are dyadic rationals, but 1/3
is not. These numbers are important in computer science because they are the only ones with finite binary representation... | 4 | [
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Mommy’s Baby, Daddy’s Maybe: A Closer Look at Regression to the Mean
Regression analysis is one of the most useful techniques we have in statistics, and it is applied in a large number of disparate situations. It is used to explain the influence (independent)
variables have on the variability of (outcome) variables, a... | 4 | [
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-0.... | 13,704,878 | 13704878 | |
The following properties of a gradient help to understand the orientation of the line.
For a line drawn in an n-dimensional space, the gradient of the line with reference to a specific dimension is called its directional derivative.
The concept of the partial derivative is helpful to find the directional derivative.... | 5 | [
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Show that a given general linear group is nonabelian - Solutions to Linear Algebra Done Right
Show that a given general linear group is nonabelian
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 1.4 Exercise 1.4.3
Show that $GL_2(\mathbb{F}_2)$ is non-abelian.
Solution: We have $$\left[ {1 \atop 1... | 5 | [
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Geometry of curves and projectile motion
To describe a differentiable curve, one could use a parameterisation. Imaginatively, one could imagine driving a car with the objective of aliging the car’s path with the curve. One has unlimited
control over the car’s throttle (the velocity) and “ability to turn” (the centripe... | 4 | [
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0.0302734375,
0.0... | 13,704,881 | 13704881 | |
Finding the 𝑥- and 𝑦-Intercepts of a Line
Question Video: Finding the 𝑥- and 𝑦-Intercepts of a Line Mathematics • First Year of Secondary School
What are the 𝑥-intercept and 𝑦-intercept of the line 3𝑥 + 2𝑦 − 12 = 0?
Video Transcript
What are the 𝑥-intercept and 𝑦-intercept of the line three 𝑥 plus two 𝑦 ... | 4 | [
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0.000171661376953125,
0.013671875,
-0.1220703125,
-0... | 13,704,882 | 13704882 | |
Dose rate through a small aperture
Radioactive source holders - Dose rate through an aperture
Published: Apr 23, 2024
Source: Dr Chris Robbins, Grallator / Ionactive radiation protection resource
Radioactive source holder on a nuclear gauge
Nuclear gauges come in a number of configurations, sizes and uses etc. Whil... | 5 | [
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Variable-Density Groundwater Flow
For variable-density flow, the mass conservation equations for fluid (groundwater), mass and heat are the basis for numerical models. The mass balance equation for a compressible fluid in a saturated
porous medium is shown in Equation 32.
where:
t = time (T), e.g., s
= spec... | 4 | [
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st: RE: How to calculate standardized difference in means with survey we
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st: RE: How to calculate standardized difference in means with survey we... | 4 | [
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9. Mixed formulation for Poisson equation
9. Mixed formulation for Poisson equation¶
This demo is implemented in a single Python file, demo_mixed-poisson.py, which contains both the variational forms and the solver.
This demo illustrates how to solve Poisson equation using a mixed (two-field) formulation. In particul... | 4 | [
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Simplifying an Expression Involving Division of Positive Integer Powers over the Real Numbers
Question Video: Simplifying an Expression Involving Division of Positive Integer Powers over the Real Numbers Mathematics • Second Year of Preparatory School
What is the value of (−√3)⁶ ÷ (√3)³?
Video Transcript
What is the... | 4 | [
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0... | 13,704,887 | 13704887 | |
Tutorials
Linear Stability Analysis: Learn more about the tool we used to find the shape and motion of the paddle that make sure the ball does not fall off.
Linear vs. Nonlinear Systems: Learn more about the differences between linear systems and nonlinear systems. In engineering, we often analyze systems by approxima... | 4 | [
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Find the equation of the straight line passing through (3, -2) and making an angle of 60° with the positive direction of y-axis.
Hint: Solve by finding the slope of the line. Then, use the formula for the equation of line passing through the point and having a given slope to find its equation. Solve by finding the slop... | 4 | [
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Using a Table of Values to Graph Equations
Using a Table of Values to Graph Linear Equations
You can graph any equation using a table of values.
A table of values is a graphic organizer or chart that helps you determine two or more points that can be used to create your graph.
Here is an example of a table of values... | 4 | [
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... | 13,704,890 | 13704890 | |
Erdos and proofs 'from the Book' (cont..)
Yesterday I talked about
Erdos's beautiful idea of proofs from the Book, and mentioned an example problem whose proof could be viewed as being a 'Book proof'.
Here is the proof, (due to L. M. Kelly)
Theorem. There is no way to arrange n points in the plane (not on a line) s... | 4 | [
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Counting and Combinations: Permutations and Combinatorics
Let us begin with the following example.
Example. In how many ways can 8 horses finish in a race? Here, we assume that there are no ties.
Solution. $8\times 7\times 6\times 5\times 4\times 3\times 2\times 1=40,320$ ways.
The example above shows an ordered ar... | 4 | [
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Business Statistics Solved Paper FBISE 2013 ICOM II, MCQS, Short Questions, Extensive Questions - bcfeducation
Business Statistics Solved Paper FBISE 2013 ICOM II, MCQS, Short Questions, Extensive Questions
In this blog post, I am going to discuss the paper of Business Statistics Solved Paper FBISE 2013 ICOM II, MCQS,... | 4 | [
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(4−2i)⋅(−5+4i)
Multiplying Complex Numbers: (4−2i)⋅(−5+4i)
This article will guide you through multiplying the complex numbers (4−2i) and (−5+4i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined a... | 4 | [
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Olympia HHC
Datasheet legend Years of production: Display type: Alphanumeric display
New price: Display colo... | 5 | [
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Convergence of Random Variables: Simple Definition
Statistics Definitions > Convergence of random variables
Contents:
What is convergence of random variables?
Convergence of random variables (sometimes called stochastic convergence) is where a set of numbers settle on a particular number. It works the same way as c... | 4 | [
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Linear Regression In Machine Learning Made Simple & How To Python Tutorial
What is Linear Regression in Machine Learning?
Linear regression is one of the fundamental techniques in machine learning and statistics used to understand the relationship between one or more independent variables (also known as features or
pr... | 4 | [
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How do you find the domain and range of f(x)= sqrt(x^2-x-6)? | HIX Tutor
How do you find the domain and range of #f(x)= sqrt(x^2-x-6)#?
Answer 1
Domain is $\left(- \infty , - 2 \left[\cup\right] 3 , + \infty\right)$
Range is $\left[0 , + \infty\right)$
Since under square root the polynomial must be positive, the dom... | 4 | [
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The Puzzler #13
THIS MONTH'S CONTEST
PADLOCK PROBLEM
Andy and Bob are associates at a large brokerage with offices in different cities. Andy needs to send a highly sensitive document to Bob, for only Bob to see. Andy has a number of padlocks with
corresponding keys and a portable safe with a large clasp that can be se... | 4 | [
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