content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
The good, the bad and the ugly: What do we really do when we identify the best and the worst organisations?
Research and reporting methodology
The good, the bad and the ugly: What do we really do when we identify the best and the worst organisations?
Abstract
Identifying high and poorly performing organisations is c... | 4 | [
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An Object Is Moving To The Right At A Constant Velocity. What Will Happen If Aforce Of 20 N Starts Acting
B. Is correct answer
The angular acceleration of the washing machine spin is 53.5 x 10⁻³.
What is meant by angular acceleration ?
Angular acceleration is defined as the time rate of change of angular velocity in... | 4 | [
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Shaft Voltage Reduction Method Using Carrier Wave Phase Shift in IPMSM
^1
Electrical Engineering Department, Incheon National University, Songdo 22012, Korea
^2
Korea Electrotechnology Research Institute (KERI), Changwon 51543, Korea
^*
Author to whom correspondence should be addressed.
Submission received: 6 Oc... | 4 | [
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About the de Rham complex
What does the de Rham complex have to do with physics?
You start with real-valued functions over \(\mathbb{R}^n\). What do you get when you apply a differential operator? Why, a vector field of course, the gradient field. But not all vector fields are
gradients of a scalar field. Those that ... | 4 | [
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EXERCISE #2:
DESIGN OF DIGITAL ALGORITHMS
Kyle M. White
... | 4 | [
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Numerical Simulation of the Hydraulic Characteristics and Fish Habitat of a Natural Continuous Meandering River
^1
Key Laboratory of Ministry of Education of Water Resources and Water Transportation Engineering, Chongqing Jiaotong University, Chongqing 400074, China
^2
National Engineering Technology Research Cente... | 4 | [
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ocumentation
# Case-control study assessing whether exposure to tap water
# is associated with cryptosporidiosis among AIDS patients
tab <- matrix(c(2, 29, 35, 64, 12, 6), 3, 2, byrow=TRUE)
dimnames(tab) <- list("Tap water exposure" = c("Lowest", "Intermediate", "Highest"),
"Outcome" = c("Case"... | 5 | [
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Mineral Solubility and Saturation Index
Equilibrium between Solid Phases and Aqueous Solution
In chemical thermodynamics, the dissolution or precipitation of solid phases (minerals, salts) is controlled by the law of mass action. In other words, a mineral A[a]B[b] dissolves/precipitates
according to the reaction form... | 4 | [
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Medal Ceremony
The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?
Problem
6 pupils have, between them, won three gold medals, two silver medals and a bronze medal in a painting competition. Unfortunately, their teacher has lost all record of ... | 4 | [
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How To Convert Repeating Decimal To Fraction - Knowdemia
How To Convert Repeating Decimal To Fraction
Did you know that a full 90% of students who take a class on converting repeating decimals to fractions don’t even know how to convert repeating decimals into fractions? This doesn’t mean that the
rest of 10% is limit... | 4 | [
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Developing
In addition to providing out-of-the-box forests for quantile regression and instrumental variables, grf provides a framework for creating forests tailored to new statistical tasks. Certain components
around splitting and prediction can be swapped out, within the general infrastructure for growing and predict... | 4 | [
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4.2 Acoustic resonators
There are two aspects of acoustics that will be of direct interest to us to understand the behaviour of musical instruments. Wind instruments of all kinds rely on acoustical resonators, and acoustic
resonances also play a role in understanding the behaviour of stringed instrument bodies and of ... | 4 | [
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Help me!
#1
+1
+1
15
1
Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$
BRAINBOLT Jun 10, 2024
Our first step is to isolate y from the first equation. Moving x to the other side, we get
\(y=25-x\)
Now, we plug this value of y into the second equation. We g... | 4 | [
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Mathematic Proof of a VPS being cheaper than a home computer
There has been many questions about how much it costs to run a home computer 24/7 and if a VPS would be cheaper or more expensive.
There is a lot of people giving their opinion, however there is nothing compared to scientific proof of the fact that a VPS is... | 4 | [
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Well done, you scored out of 10. Your Streak will increase and as a reward for completing the quiz, meet “Harry, Hermione, Ron, Genny, Luna and Neville” some of our favourite pets!
Bad Luck, you only scored out of 10. Your Streak will not increase but as a reward for completing the quiz, meet “Harry, Hermione, Ron, G... | 4 | [
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IB Numerical Analysis - Numerical linear algebra
8Numerical linear algebra
IB Numerical Analysis
8.3 A = LU for special A
There is one thing we haven’t figured out yet. Can we just look at the matrix
A
,
and then determine whether it has an LU factorization (that does not involve
permutations)? To answer this, w... | 5 | [
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Article information
Abstract
Full Text
Bibliography
Download PDF
Statistics
Tables (4)
Table 1. Optimal values of Q1 and Eπ for Q1* and no buffer for fixed buffer replenishment rate (k1=100).
Show moreShow less
Abstract
This paper deals with a just-in-time manufacturing environment which produces perfe... | 5 | [
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Molecular Simulation/Monte Carlo Methods - Wikibooks, open books for an open world
Monte Carlo Methods are stochastic techniques that use random numbers to sample conformation space. In this method, a random conformation is generated then it would be determined whether to reject or
accept it.
A Metropolis Monte Carlo... | 4 | [
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Regrouping infinite sums
0
|
6054 Views
|
6 Replies
|
3 Total Likes
Hi everyone. I'm doing a few tests with infinite sums in mathematica, but I have troubles. I want to manipulate formal power series with non fixed coefficient.
For exemple, defining $f(t)=\sum_{n=0}^\infty u_n t^n$ and $g(t)=\sum_{n=0}^\infty v... | 5 | [
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Testing Solutions for 2-Variable Equations
Video: Testing Solutions for 2-Variable Equations
Learn how to find out whether a given a coordinate pair lies on a specified line or curve. We run through some examples in which we substitute the 𝑥- and 𝑦-coordinate values into the equation and
check whether the equation h... | 4 | [
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re
Least Squares Regression
Published on Friday, 10 March, 2017 regression
Ordinary Least Squares (OLS)
Estimates the parameters in a regression model by minimizing the sum of squared residuals.
OLS Assumptions:
1. Model is linear in the coefficients and the error term
2. The error term has a population mean of ... | 4 | [
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Analysis of Beams on Elastic Foundation - Structville
Analysis of Beams on Elastic Foundation
When a beam lies on an elastic foundation under the action of externally applied loads, the reaction forces of the foundation are proportional at every point to the deflection of the beam. This
assumption was introduced first... | 5 | [
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Solution:
The formula for n^th term of an AP is aₙ = a + (n - 1) d
Here, aₙ is the n^th term, a is the first term, d is the common difference and n is the number of terms.
3^rd term of the AP = 4
a₃ = a + (3 - 1)d = 4
a + 2d = 4 .... (1)
9^th term of the AP = - 8
a₉ = a + (9 - 1)d = - 8
a + 8d = - 8 ....(2)
S... | 4 | [
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A toy rocket is launched from the rooftop of a building. The rocket's
Below you'll find the solution to this question:
A toy rocket is launched from the rooftop of a building. The rocket's height, h(t), is modeled by the equation h(t) = -16t² +80t + 96 after t seconds.
1. How tall is the building?
2. How long bef... | 4 | [
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This Advanced Pivot Tool was developed by Robert Vanderbei at Princeton University to solve linear programming (LP) problems. The given tableau is for an LP with a maximization objective:
\[\begin{array}{llcl}
\text{max} & \zeta & = & p^T x \\
\text{s.t.} & Ax & \leq & b \\
& x & \geq & 0
\end{array}\]
... | 4 | [
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Contents of /pubs/books/ucbka/trunk/c_dta0/c_dta0.tex
1 %$Header$
2
3 \chapter[\cdtazeroshorttitle{}]{\cdtazerolongtitle{}}
4
5 \label{cdta0}
6
7 \beginchapterquote{``Under construction!''}
8 {Under construction!}
9
10
11 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
12 %%... | 5 | [
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17.3 Examples in R | Forecasting and Analytics with the Augmented Dynamic Adaptive Model (ADAM)
\( \newcommand{\mathbbm}[1]{\boldsymbol{\mathbf{#1}}} \)
17.3 Examples in R
17.3.1 Example 1
To demonstrate how the scale model works, we will use the model that we constructed in Section 10.6 (we use Normal distributio... | 4 | [
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Comprehension: The Gini Index
Let’s consider the heart disease example that was introduced in the earlier segments to understand decision trees. Now, you will calculate the homogeneity measure for some of the features on some
numbers using the Gini index to determine the attribute that you should split on first.
Reca... | 5 | [
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Cochran-Mantel-Haenszel Statistics
The CMH option in the TABLES statement gives a stratified statistical analysis of the relationship between the row and column variables after controlling for the strata variables in a multiway table.
For example, for the table request A*B*C*D, the CMH option provides an analysis of ... | 4 | [
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0.019775390625,
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0.048583984375,
-0.0615234375,
-0.03125,
0.003021240234375,
-0.038330078125,
0.041748046875,... | 13,706,428 | 13706428 | |
ogarithm rules
Logarithm Rules
The base b logarithm of a number is the exponent that we need to raise the base in order to get the number.
Logarithm definition
When b is raised to the power of y is equal x:
b^ y = x
Then the base b logarithm of x is equal to y:
log[b](x) = y
For example when:
2^4 = 16
Then
lo... | 5 | [
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-0.125,
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0.07470703125,
-0.1689453125,
0.07861328125... | 13,706,429 | 13706429 | |
Cos2x - Formula, Identity, Examples, Proof _ Cos^2x Formula
The cosine function is one of the most crucial math functions, along a wide spectrum of uses in different areas such as engineering, physics, and mathematics. It is a periodic function that
oscillates between -1 and 1 and is specified as the ratio of the adja... | 4 | [
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0.01623... | 13,706,430 | 13706430 | |
Surface Area
Calculate the surface areas of the given basic solid shapes using standard formulae.
This is level 1; Find the surface area of shapes made up of cubes. The diagrams are not to scale.
1
Each of the yellow cubes in the diagram have edges 1cm long.
What is the total surface area of the cuboid they are p... | 4 | [
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0.0625,
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... | 13,706,431 | 13706431 | |
No 2 (2020)
REQUIRED OPTIMALITY CONDITIONS IN ONE OPTIMAL CONTROL PROBLEM WITH MULTIPOINT FUNCTIONAL
Abstract
One specific optimal control problem with distributed parameters of the Moskalenko type with a multipoint quality functional is considered. To date, the theory of necessary first-order optimality
conditions ... | 4 | [
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Software product keys as used in myVNA by Dave G8KBB
As many of the WARC members will know – because I’ve bored you with talks on the subject – I have had great fun for several years writing Vector Network Analyser (VNA) software for the most excellent
N2PK VNA by Paul Kiciak. Most people will have heard the talk on V... | 4 | [
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-0.0206298828... | 13,706,433 | 13706433 | |
I am reading Path Integrals and Quantum Anomalies by Kazuo Fujikawa and Hiroshi Suzuki. In chapter 4.2 they calculate the self-energy of photon for QED and say that the actual calculation is
performed in Euclidean theory. The recipe they gave to change from Minkowski to Euclidean theory is
\begin{align}
& \text{time: ... | 4 | [
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-0.015747... | 13,706,434 | 13706434 | |
Miller-Rabin Primality Test
Problem: Determine if a number is prime, with an acceptably small error rate.
Solution: (in Python)
import random
def decompose(n):
exponentOfTwo = 0
while n % 2 == 0:
n = n/2
exponentOfTwo += 1
return exponentOfTwo, n
def isWitness(possibleWitness, p, exponent, re... | 4 | [
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-... | 13,706,435 | 13706435 | |
Z-Score in Statistics | Engineering Mathematics (2024)
Z-Score in statistics is a measurement of how many standard deviations away a data point is from the mean of a distribution. A z-score of 0 indicates that the data point’s score is the same as the
mean score. A positive z-score indicates that the data point is abov... | 5 | [
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0.0302734375,
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-0.02770996... | 13,706,436 | 13706436 | |
None
Modeling Joint Likelihood
PROC MCMC assumes that the input observations are independent and that the joint log likelihood is the sum of individual log-likelihood functions. You specify the log likelihood of one observation in
the MODEL statement. PROC MCMC evaluates that function for each observation in the data ... | 4 | [
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-0.045654296875,
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0.... | 13,706,437 | 13706437 | |
Enable Data Analysis Toolpak in Excel
Steps:
• Select Add-ins.
• In Manage, select Excel Add-ins.
• Click Go.
• In the new window, check Analysis ToolPak.
• Click OK.
• In the Data tab, select Analyze and choose Data Analysis.
Feature 1 – Anova Analysis
ANOVA is a statistical method used to analyze ... | 5 | [
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Volume formulas
Here, we provide you with volume formulas for some common three-dimensional figures and also for the ellipsoid and the hollow cylinder that are not so common.
Cube:
... | 4 | [
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An insurance company collects data on seat-belt use among
drivers in a country. Of 1000 drivers...
An insurance company collects data on seat-belt use among drivers in a country. Of 1000 drivers...
An insurance company collects data on seat-belt use among drivers in a country. Of 1000 drivers 20-29 years old, 18%... | 4 | [
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(PDF) Analyzing the Potential of Space Elevator Technology for Sustainable Asteroid Mining
Author content
All content in this area was uploaded by Lynnane George on Jul 25, 2024
Content may be subject to copyright.
1
Analyzing the Potential of Space Elevator Technology for
Sustainable Asteroid Mining
Joseph M. ... | 4 | [
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The Tetrahedron
The regular tetrahedron is the 3D equivalent of the triangle. It is the simplest of the Platonic solids, and consists of 4 equilateral triangles joined at their edges, folded into 3D to form a
pyramid with a triangular base.
It has 4 vertices and 6 edges. It is self-dual: the polyhedron formed by taki... | 4 | [
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0.034912109375,
-0.0322265625,... | 13,706,442 | 13706442 | |
MathPhys Archive
In this note, we discuss the relationship between a system of linear equations and the determinant of its coefficients. For simplicity, I am considering only a system of two linear equations with two
variables. But a similar argument can be used for more general cases. Let us consider the system of lin... | 4 | [
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-0.032... | 13,706,443 | 13706443 | |
tutte_polynomial
tutte_polynomial#
Returns the Tutte polynomial of G
This function computes the Tutte polynomial via an iterative version of the deletion-contraction algorithm.
The Tutte polynomial T_G(x, y) is a fundamental graph polynomial invariant in two variables. It encodes a wide array of informat... | 4 | [
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Project Euler Problems 18 and 67: Finding the Maximal Route through a Triangle
If this doesn't pique the interest of my fellow developers then I don't know what will: a problem that will take twenty billion years to solve (at an extremely optimistic estimate), unless we find an
efficient algorithm. The problem in quest... | 5 | [
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... | 13,706,445 | 13706445 | |
E
Installation
Introduction
knnmi is a mutual information (MI) library for R based on the k-nearest neighbor (KNN) algorithm. There are three functions:
• mutual_inf_cc - Compute MI(X;Y) where X is a vector and Y is a vector or matrix. X and Y are both continuous.
• mutual_inf_cd - Compute MI(X;Y) where X is a v... | 5 | [
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0.02294921875,
0.03515... | 13,706,446 | 13706446 | |
Statistical Functions Part Three
Back to Financial Functions Part Two
Financial Functions Part Three
CUMIPMT
Calculates the cumulative interest payments, that is, the total interest, for an investment based on a constant interest rate.
CUMPRINC(Rate;NPER;PV;S;E;Type)
Rate is the periodic interest rate.
NPer is t... | 5 | [
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ri
Function (std::numeric_limits<T>::max)() returns the largest finite value that can be represented by the type T. If there is no such value (and numeric_limits<T>::bounded is false) then returns T().
For fundamental (built-in) types there is usually a corresponding MACRO value TYPE_MAX, where TYPE is CHAR, INT, FLOA... | 5 | [
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Circle Calculator
Last updated:
Circle Calculator
New
This area of a circle calculator will help you determine the circumference, diameter, area, and radius of any circle.
In the article below, you will find all the circle formulas you will ever need to calculate one of these values. Read on if you're looking for t... | 4 | [
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0.... | 13,706,449 | 13706449 | |
15. Suppose that exists on the interval
1. If in , then is concave upward in .
2. If in , then is concave downward in .
To locate the points of inflection of , find the points where or where fails to exist. These are the only candidates where may have a point of inflection. Then test these points to make sure tha... | 4 | [
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-0.08... | 13,706,450 | 13706450 | |
topological sort space complexity
Expected Time Complexity: O(V + E). Your task is to complete the function topoSort() which takes the adjacency list of the Graph and the number of vertices (N) as inputs are returns an array
consisting of a the vertices in Topological order. Topological sort (top sort) sorts vertices i... | 4 | [
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NCERT Solutions for Class 12 Physics Chapter 12 Atoms
Candidates who are searching for NCERT solutions for Class 12 Physics Chapter 12 – Atoms can refer to this page completely. Here, we as a team covered all topics and subtopics solved questions of
atoms and presented in these 12th class physics NCERT Solutions Chap... | 4 | [
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Oxford Revise Edexcel A Level Maths Glossary
EDEXCEL A LEVEL MATHS: GLOSSARY
The key vocabulary you need to learn for your Edexcel A Level Maths paper. Find all the terms and definitions you need to understand, from ‘absolute value’ to ‘weight’.
A (absolute value to asymptote)
absolute value
The absolute value is t... | 4 | [
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A nitric acid solution flows at a constant rate of 6L/min into a
large tank that...
In: Advanced Math
A nitric acid solution flows at a constant rate of 6L/min into a large tank that...
A nitric acid solution flows at a constant rate of 6L/min into a large tank that initially held 200L of a 0.5% nitric acid solution.... | 4 | [
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Class 6 Knowing Your Numbers - basics, problems and solved examples | Math Square
If we look anywhere we will easily find the numbers around us. Your age, your class, your height each and every thing is related to the numbers. Isn’t this beautiful? Let’s learn more about the
beauty of numbers and mathematics.
Comparin... | 4 | [
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0.026123046875,... | 13,706,455 | 13706455 | |
None
We'll come to a proof of that in a moment. First, let's look at an implication for this result, so I can retain the interest of those of you not concerned with the proof.
We know that a prime number is either Gaussian prime or it is the sum of two squares. Now we have an incredibly quick way to check if a number ... | 5 | [
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Cayley-Dickson Construction
This category contains results about the Cayley-Dickson construction on $*$-algebras.
Let $A = \struct {A_F, \oplus}$ be a $*$-algebra.
The Cayley-Dickson Construction on $A$ is the procedure which generates a new algebra $A'$ from $A$ as follows.
Let:
$A' = \struct {A'_F, \oplus'}... | 4 | [
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Shawn D. Ryan, PhD | Mathematics and Statistics | Cleveland State University
External Funding
2023-2026 USDA-NIFA (PI D. Munther, Co-PI S. D. Ryan, Co-PI C. Kothapalli) $498,177.60
2023-2027 NSF REU Grant (PI J. Bickel, K. Streletzky, S. D. Ryan Senior Personnel) $365,000
2017-Present Ohio SuperComputing Center Gra... | 4 | [
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Find the values of (sin245° + cos245°)/tan260°
Find the values of
(i) (sin^245° + cos^245°)/tan^260°
(ii) (sin30° – sin90° + 2cos0°)/tan^2 60°
(iii) 4/3 tan^230° + sin^260° – 3cos^260° + 3/4 tan^260° – 2tan^245°
Answer :
(iii) 4/3 tan^230° + sin^260° – 3cos^260° + ¾tan^260° – 2tan^245°
= 4/3(1/√3)^2 + (√3/2)^2 ... | 4 | [
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wu :: forums - Permutation groups where only 1 fixes two letters
wu :: forums
riddles
putnam exam (pure math) (Moderators: towr, Eigenray, Grimbal, Icarus, SMQ, william wu) « Previous topic | Next topic »
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Author Topic: Permutation groups where only 1 fixes two letters... | 4 | [
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Uncategorized
How to Measure the Mass of the Earth
The idea of measuring the mass of the Earth became a possibility following Sir Isaac Newton’s discovery of the force of gravity. Newton’s law describing the reality’s fundamental features made
scientists work from empirical to mathematical logics. In fact, the mass ... | 4 | [
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PSEB 10th Class Maths Solutions Chapter 1 Real Numbers Ex 1.1
Punjab State Board PSEB 10th Class Maths Book Solutions Chapter 1 Real Numbers Ex 1.1 Textbook Exercise Questions and Answers.
PSEB Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.1
Question 1.
Use Euclid’s division algorithm to find the HCF of:... | 4 | [
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-0.03369140625... | 13,706,462 | 13706462 | |
group
Jump to navigation Jump to search
In mathematics, the free group F[S] over a given set S consists of all expressions (a.k.a. words, or terms) that can be built from members of S, considering two expressions different unless their
equality follows from the group axioms (e.g. st = suu^−1t, but s ≠ t^−1 for s,t,u∈... | 4 | [
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Fraction.js Alternatives - JavaScript Number | LibHunt
Description
Tired of inprecise numbers represented by doubles, which have to store rational and irrational numbers like PI or sqrt(2) the same way? Obviously the following problem is preventable:
Code Quality Rank: L2
Monthly Downloads: 0
Programming language: ... | 5 | [
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Question 2 - Find a if coefficients of x2, x3 in (3 + ax)9 are equal
Question 2 - Miscellaneous - Chapter 7 Class 11 Binomial Theorem
Last updated at April 16, 2024 by Teachoo
Transcript
Question 2 Find a if the coefficients of x2 and x3 in the expansion of (3 + ax)9 are equal. We know that General term of expansion... | 4 | [
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Having trouble with an integral
•
• Thread starter Temp0
• Start date
•
Tags
In summary, the conversation discusses the process of solving the integral of √(x^2 - t^2)dt/(xt) x > t > 0. The speaker applies trig substitution and rearranges the formula to obtain the integral
∫cos(θ)^2 dθ/sinθ, but is unsu... | 5 | [
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statespacer applied to UK Road Deaths
A lot of time series exhibit some form of seasonality. An example of such a time series is the UK Road Deaths dataset, see ?Seatbelts for details about this dataset. In this vignette you will learn
how to deal with this seasonality using the statespacer package. Moreover, you will ... | 5 | [
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Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers
Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers
Rational Numbers Exercise 2A – Selina Concise Mathematics Class 7 ICSE Sol... | 4 | [
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Study Guide - Solving Equations Using Factoring
Solving Equations Using Factoring
We have used factoring to solve quadratic equations, but it is a technique that we can use with many types of polynomial equations, which are equations that contain a string of terms including
numerical coefficients and variables. When w... | 4 | [
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Here’s how I used Python to build a regression model using an e-commerce datasetHere’s how I used Python to build a regression model using an e-commerce dataset - Research Snappy
The programming language of Python is gaining popularity among SEOs for its ease of use to automate daily, routine tasks. It can save time an... | 4 | [
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Epicycloid and Hypocycloid
Some epicycloid and hypocycloids. The fraction on the upper coners are the two signed parameters b that generates the same curve. (see the Description section below.) Those that can only be generated
as hypocycloids are colored red.
History
From Robert Yates:
Cycloidal curves were fi... | 4 | [
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Model Diagnostics: Prediction Uncertainty
Today’s PiML tutorial is about quantification of prediction uncertainty for a pre-trained machine learning model. We take a deep dive into conformal prediction for regression models, introduce
several ways of running split conformal prediction, and demonstrate how to detect un... | 4 | [
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Binary Variables - презентация онлайн
1. Binary Variables
Recall that the two binary values have different
names:
True/False
On/Off
Yes/No
1/0
We use 1 and 0 to denote the two values.
2. Boolean Algebra
Invented by George Boole in 1854
An algebraic structure defined by a set B = {0, 1},
together with two bin... | 5 | [
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Sets and Expressions Number Sets - ppt video online download
1 Sets and Expressions Number SetsNatural (Counting) numbers – {1,2,3,…} Whole numbers – Natural numbers and 0, that is {0,1,2,3,….} Integers – Positive or negative whole numbers Rational numbers –
any number that can be expressed as a/b, where a and b are i... | 4 | [
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KiKaBeN - Adaptive Softmax (2016)
Adaptive Softmax (2016)
Efficient softmax approximation for GPUs
Adaptive softmax speeds up from 2× to 10× compared to the standard softmax without sacrificing perplexity, which is crucial for large language models (LLMs) dealing with massive corpora, saving both
time and money.
LLMs... | 4 | [
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ar
Heat Pump¶
This tutorial is the continuation of the tutorial in the introduction. First, we have a look at specification options and modeling flexibility in TESPy as well as some typical errors, that might
occur when using the software. Then we will make a simple analysis of the COP of the heat pump based on se... | 5 | [
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Simple Mesh Current Analysis | Wira Electrical
Simple Mesh Current Analysis
If the equations are not displayed correctly, please use the desktop view
Mesh current analysis is used to analyze an electric circuit using the flowing currents in a closed loop of a circuit. Even though we already have Ohm’s law and Kirchho... | 5 | [
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None
07-30-2018, 06:42 PM
(This post was last modified: 07-30-2018 06:52 PM by Claudio L..)
Post: #1
Claudio L. Posts: 1,885
Senior Member Joined: Dec 2013
Error propagation in adaptive Simpson algorithm
I recently implemented an adaptive Simpson, almost straight from
Wikipedia's article
.
I immediately n... | 4 | [
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In mathematics, especially in the area of algebra known as group theory, the holomorph of a group ${\displaystyle G}$, denoted ${\displaystyle \operatorname {Hol} (G)}$, is a group that
simultaneously contains (copies of) ${\displaystyle G}$ and its automorphism group ${\displaystyle \operatorname {Aut} (G)}$. It prov... | 4 | [
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Understanding Exponential Decay
What is Exponential Decay?
Exponential decay is a mathematical model that describes how quantities decrease over time at a rate proportional to the current amount. This pattern is common in various natural and scientific
phenomena, such as radioactive decay, population decline, and th... | 4 | [
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Double Integrals over General Domains
Double Integrals over General Domains
We have just looked at Double Integrals over Rectangles. Recall that if $z = f(x, y)$ is a two variable real-valued function and let $R = [a, b] \times [c, d] \subseteq D(f)$ be a rectangular subset
of the domain. Then the double integral of ... | 4 | [
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q-resistors.html
7.5.39
The diagram below represents an electronic circuit of twelve resistors (you don’t need to understand any electronics to answer this question). If all the resistors have a resistance of $1\,\mathrm{\
Omega}$, then the currents through the resistors could be described with the following seven eq... | 5 | [
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Projectile:body falling down well
•
• Thread starter CAF123
• Start date
•
Tags
In summary, at zero time, the body is at the top of the well, falling down. When the body reaches the bottom of the well, it has a negative time and therefore has a negative velocity.
Homework Statement
A body of some mas... | 5 | [
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Hypothesis Test for a Population Mean (1 of 5)
Learning Objectives
• Recognize when to use a hypothesis test or a confidence interval to draw a conclusion about a population mean.
• Under appropriate conditions, conduct a hypothesis test about a population mean. State a conclusion in context.
Introduction
In Inf... | 5 | [
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0.0109252929687... | 13,706,484 | 13706484 | |
What is the equation of the line with slope m= -17,13 that passes through (-29,17) ? | Socratic
What is the equation of the line with slope # m= -17,13 # that passes through # (-29,17) #?
1 Answer
$\textcolor{g r e e n}{17 x + 13 y = 714}$
Explanation:
Assuming the slope to be $- \left(\frac{17}{13}\right)$
Sta... | 4 | [
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The asteroid Ceres has a mass of 7*10^20 kg and a radius of 500 km. What is g on the surface of Ceres? How much would a 99 kg astronaut weigh on Ceres? | Socratic
The asteroid Ceres has a mass of #7*10^20# #kg# and a radius of #500# #km#. What is #g# on the surface of Ceres? How much would a #99# #kg# astronaut weigh o... | 5 | [
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Data Science can be practically defined as the process by which we get extra information from data.
When doing Data Science, what we’re really trying to do is explain what all of the data actually means in the real-world, beyond the numbers.
To extract the information embedded in complex datasets, Data Scientists em... | 4 | [
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Absolute Conic
1. Conic
• Conic is a curve on a plance which is of form $ax^2 + bxy + cy^2 + dx + ey + f = 0$.
• Let $(x_1, x_2, x_3)^t \sim (\frac{x_1}{x_3}, \frac{x_2}{x_3}, 1)^t$ be the homogeneous coordinates of a point, then $ax^2_1 + bx_1x_2 + cx^2_2 + dx_1x_3 + ex_2x_3 + fx^2_3 = 0$.
• For matrix represen... | 4 | [
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Unlock the Mystery: How to Find Points of Inflection Like a Pro!
Introduction to Points of Inflection
Points of inflection are critical points on a curve where the concavity changes. In calculus, determining points of inflection is crucial for understanding the behavior of functions and curves. By
identifying points o... | 4 | [
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Funky Hexagon
Can you find the value of x in this diagram?
Student Solutions
Using the formula for internal angles of a polygon
The internal angles of an $n$ sided polygon sum to $(n-2) \times 180^\text{o}$, so for a hexagon the internal angles sum to $180(6 - 2)=720$ degrees.
The interior angles not shown are $36... | 4 | [
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Channel Estimation and Data Detection Using Machine Learning for MIMO 5G Communication Systems in Fading Channel
^1
Department of Electronics and Telecommunication, JSPM’s Rajarshi Shahu College of Engineering, Pune 411033, Maharashtra, India
^2
Department of Electronics and Telecommunication, Dr. D. Y. Patil Insti... | 4 | [
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m
As CYBERTEC keeps expanding, we need a lot more office space than we previously did. Right now, we have a solution in the works: a new office building. We wanted something beautiful, so we started to
dig into mathematical proportions to achieve a reasonable level of beauty. We hoped to make the building not just usab... | 5 | [
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Deflection of a Concrete T-beam with Prestressed and Non-prestressed Fiber Reinforcement Polymers at Elevated Temperatures
Open Access Original Research
Deflection of a Concrete T-beam with Prestressed and Non-prestressed Fiber Reinforcement Polymers at Elevated Temperatures
Mohammed Faruqi^* , Zachary Scott Dean , ... | 5 | [
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Walk Archives - Chalkdust
One of the many things affecting us living in the UK is the rain! Especially when we are caught out in it without an umbrella (or when we’re too lazy to dig it out of our bag). Intuitively it seems
like a good idea to run, or at least walk faster so we spend less time in the rain, however this... | 4 | [
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issue-13-fun Archives - Chalkdust
The Einstein summation convention is a way to write and manipulate vector equations in many dimensions. Simply put, when you see repeated indices, you sum over them, so $\sum_{i=1}^N a_i b_i$ is
written $a_i b_i$ for example.
Yes: worth it, argues Ellen Jolley
This debate boils down ... | 5 | [
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Visualizing Maths, the Pythagorean Way
Chapter 2 of “The Pythagorean Theorem — A 4000 Year History” tells us that Pythagoras founded a school when he settled in Greek around 530 BCE. His students — the Pythagoreans — studied mainly
philosophy, mathematics and astronomy.
The Pythagoreans were fascinated by figurative n... | 4 | [
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None
11-26-2017, 07:51 PM
(This post was last modified: 11-26-2017 07:57 PM by salvomic.)
Post: #1
salvomic Posts: 1,396
Senior Member Joined: Jan 2015
HP 15C and INT(1/√(1-x),0,1)
hi,
I'm trying to get in HP 15C the integral
Integrate[1/Sqrt[1 - x], {x, 0, 1}]
\[ \int_0^1{\frac{1}{\sqrt{1-x}}}dx \]
... | 5 | [
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Fast Fourier Transform (FFT)
Open Table or Figure or Plot with initial data and use Processing → Fast Fourier Transform menu item to perform FFT.
Fast Fourier transform algorithm computes discrete Fourier transform exactly and is used to considerably speed up the calculations. Note that FFT is not an approximate metho... | 4 | [
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Beams Deflection Calculator - Round Tube Beams
Pipe deflection calculator
Enter the length, diameter and wall thickness then select the material from the drop down menu.
Formula
MI for Solid Round Beams = (pi * (OD^4 - ID^4))64
Deflection = (length ^3 * force) (3 * E * MI)
Bending Stress = (force * length)(MI / (0.... | 5 | [
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