content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Cardinal number - Wikipedia Republished // WIKI 2
A bijective function, f: X → Y, from set X to set Y demonstrates that the sets have the same cardinality, in this case equal to the cardinal number 4.
Aleph-null, the smallest infinite cardinal
In mathematics, a cardinal number, or cardinal for short, is what is c... | 4 | [
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ri
A shielded electrical microstrip transmission line is fixed to a substrate and placed in a shielded container of air. The simulation applies a known voltage to the strip to calculate the resulting
capacitance and compares this with the theoretical result. The problem assumes symmetry in the lengthwise direction so t... | 5 | [
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Write a proof by component wise continuity to show - Asksia.ai
Step 3, why is Lk(x) continuous
Write a proof by component wise continuity to show f(x) is continuous
Answer from Sia
Posted about 1 month ago
Solution by Steps
step 1
To show that the polynomial $f(x) = \sum_{i=1}^{n} \sum_{j=1}^{n} a_{ij} x_i x_j + ... | 5 | [
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How do I solve for t? | Socratic
How do I solve for t?
#t+2=√12t−3#
p.s. 12t-3 is all under the root
1 Answer
Explanation:
$t + 2 = \sqrt{12 t - 3}$
${\left(t + 2\right)}^{\textcolor{red}{2}} = {\left(\sqrt{12 t - 3}\right)}^{\textcolor{red}{2}}$
${t}^{2} + 4 t + 4 = 12 t - 3$
${t}^{2} - 8 t + 7 = 0$
$t = \fra... | 4 | [
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English version Toragi Junior Test (15) [Correct answer and explanation] Tolerance of a circuit that combines multiple resistors …… 英語版【トラ技ジュニア検定⑮】「複数の抵抗を組み合わせた回路の許容差」 | 学生＆新人エンジニアのためのトラ技ジュニア
English version Toragi Junior Test (15) [Correct answer and explanation] Tolerance of a circuit that combines multiple resistors... | 4 | [
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en
The assignment below is due BEFORE CLASS on Thursday, October 10th (it is essential that you complete it before class, as we will be doing a class activity building on the assignment).
We are going to play a game creating walking tours of cities with bridges. We begin in the city of King’s Mountain, which is built... | 4 | [
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Encoding spatial patterns as variables
Principal Coordinate Analysis & Moran Eigenvectors
I’ve begun reading “Spatial modelling: a comprehensive framework for principal coordinate analysis of neighbour matrices (PCNM)” which describes the process of making “Moran Eigenvector Maps.”
In this case, I haven’t finished r... | 5 | [
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Douglas College Physics 1104 Custom Textbook – Winter and Summer 2020
Chapter 8 Statics and Torque
Summary
• State the types of equilibrium.
• Describe stable and unstable equilibriums.
• Describe neutral equilibrium.
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Usage of the niche metric functions (former
In this section, we perform a resource niche analysis at individual level. In particular, we are interested in assessing how much the resource niche of individuals differs from that of their
corresponding population. For this, we need to calculate a measure of the degree of i... | 4 | [
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Implementing Automatic Differentiation 27/11/2020
Differentiation
Calculus is ubiquitous in mathematics applications because it defines a system for quantifying change. Consider the movement of a ball, the growth of a portfolio, spread of disease, growth of a
bacterial colony, or learning artificial neural network. ... | 5 | [
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Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers
(1)
Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers
ITC 1/47
Journal of Information Technology and Control
Vol. 47 / No. 1 / 2018 pp. 45-55
DOI 10.5755/j01.itc.47.1.16898
© Kaunas Univer... | 4 | [
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How do you find the domain and range of y=|x-3|? | Socratic
How do you find the domain and range of #y=|x-3|#?
1 Answer
Domain is $\mathbb{R}$.
Range is $\left[0 , \infty\right) = {\mathbb{R}}^{+} \cup \left\{0\right\}$.
Explanation:
Observe that in $y = | x - 3 | , x$ can any value from $\mathbb{R}$.
Hence, Doma... | 4 | [
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A rod of length L rotates about an axis passing through class 11 physics JEE_MAIN
Hint: Linear mass density refers to the mass per unit length of an object. To find the moment of inertia of the rod view it as a collection of small particles/infinitesimals and find their mass(using
the linear mass density) and position/... | 5 | [
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Assembly Time (Raw Data, Software
Required):
The makers of a child's swing set claim that the...
Assembly Time (Raw Data, Software Required): The makers of a child's swing set claim that the...
Assembly Time (Raw Data, Software Required):
The makers of a child's swing set claim that the average assembly time is less t... | 5 | [
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Translations of Graphs and Equations
Suppose a quadratic graph
\[y=f(x)\]
is translated by the vector
\[\begin{pmatrix}1\\3\end{pmatrix}\]
. What will the equation of the resulting graph?
The vertex of the graph is initially at
\[(0,0)\]
and is moved to
\[(1,2)\]
by the translation. A translation of
\[{} +2\]... | 4 | [
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In Google Sheets, if you want to calculate a series of averages for a dataset in a fixed period, you can use the Moving Average method. The moving average is basically used in time series data
analysis. In this article, we will explore the particular exponential moving average in Google Sheets.
A Sample of Practice S... | 5 | [
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AP SSC 10th Class Maths Solutions Chapter 6 Progressions InText Questions
AP State Syllabus SSC 10th Class Maths Solutions 6th Lesson Progressions InText Questions
AP State Board Syllabus AP SSC 10th Class Maths Textbook Solutions Chapter 6 Progressions InText Questions and Answers.
10th Class Maths 6th Lesson Progre... | 4 | [
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Tor design proposals
Filename: 270-newhope-hybrid-handshake.txt
Title: RebelAlliance: A Post-Quantum Secure Hybrid Handshake Based on NewHope
Author: Isis Lovecruft, Peter Schwabe
Created: 16 Apr 2016
Updated: 22 Jul 2016
Status: Obsolete
Depends: prop#220 prop#249 prop#264 prop#270
§0. Introduction
RebelAlliance i... | 4 | [
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Modeling Acoustic Energy Generation in Thermoacoustic Engines - 3DCAD.news
Thermoacoustic engines generate acoustic energy from a thermal input. In contrast to commonly used engines such as reciprocating engines and gas turbines, thermoacoustic engines do not use moving
parts, which keeps the structure very simple. In ... | 4 | [
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Numerical Methods for Optimal Control of Nonsmooth Dynamical Systems
Armin Nurkanović
University of Freiburg
Thursday, November 30, 2023, 16:00 - 18:00
SR 03-026, Building 051
This thesis regards algorithmic, theoretical, and software aspects of numerically solving Optimal Control Problems (OCPs) subject to nonsmoo... | 4 | [
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Shear Stress Transport (SST) Model with Rotation/Curvature Correction
Since the SST model relies on the Boussineq approximation, it also has poor performance for the prediction of flows with streamline curvature and system rotation because the Reynolds stress tensor is
aligned to the mean strain rate tensor.
In orde... | 4 | [
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Square from Four Points, One on Each Side
Solution 2
Here's a problem from an old Russian problem collection by D. O. Shklyarsky, N. N. Chentsov, Y. M. Yaglom Selected Problems and Theorems from Elementary Mathematics, Part 2 (Planimetry) (1952, #70):
There are four points in the plane. Construct a square such that ... | 4 | [
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2.4. Momentum | DrR Physics
top of page
2.4. Momentum
Along with the Conservation of Energy, the Conservation of Momentum is up there with the most important fundamental ideas of the universe. As far as we know, momentum is always conserved in any
collision or interaction.
You will probably have encountered the i... | 4 | [
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Perspectives on the Systematic (Type B) Uncertainties of UTC-UTC(k)
Abstract
The systematic uncertainties in the difference between Coordinated Universal Time (UTC) and UTC realizations like UTC(k) are analyzed with a semi-historical algorithm using the uncertainties of the
calibrations of only the extant time-transfe... | 4 | [
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(x+1/x)^2+2x+1/x)-8=0
Solving the Equation: (x + 1/x)² + 2(x + 1/x) - 8 = 0
This equation might look intimidating at first, but we can solve it using a simple substitution and some basic algebraic manipulation.
1. Substitute for Simplicity
Let's make the equation easier to work with by substituting:
y = x + 1/x
No... | 4 | [
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Example: Theorems and Proofs
% % This example is based on: % http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/Theorems.html % \documentclass[a4paper]{article} \usepackage[english]{babel} \usepackage[utf8x]{inputenc} \usepackage
{amsmath,amsthm} \title{Example: Theorems and Proofs} \author{WriteLaTeX} \theoremstyle{definit... | 5 | [
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Longest Repeated Substring Problem
• by C P Gupta
Longest repeated substring problem is a problem of finding the longest substring that occurs at least twice in a given string. This is also one of the important interview questions.
Problem Statement
Given a string S, consider all duplicated substrings: (contiguou... | 4 | [
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DINGFENG CAPACITOR - - How to choose single-phase motor running capacitor and starting capacitor - DINGFENG
DINGFENG CAPACITOR - - How to choose single-phase motor running capacitor and starting capacitor
1. Selection formula of single-phase dual-value motor running capacitor:
C = 1100×I/U×cos φ where 1100 is a coeff... | 4 | [
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-0.1... | 13,699,127 | 13699127 | |
corpcor source: R/partial.R
### partial.R (2008-11-14) ### ### Partial Correlation and Partial Variance ### ### ### Copyright 2003-2008 Juliane Schaefer and Korbinian Strimmer ### ### This file is part of the `corpcor' library
for R and related languages. ### It is made available under the terms of the GNU General Publ... | 4 | [
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Acute / Obtuse Triangles - High School Math
All High School Math Resources
Example Questions
Example Question #1 : Isosceles Triangles
The base angle of an isosceles triangle is 15 less than three times the vertex angle. What is the vertex angle?
Correct answer:
Explanation
:
Every triangle contains 180 degrees... | 4 | [
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Deviance Residuals: Min 1Q Median 3Q Max -1.5814 -0.9060 0.3207 0.6652 1.8266 Coefficients: Estimate Std. Error z value Pr(>|z|) (Intercept) -6.1414 1.8873 -3.254 0.001138 ** numeracy 0.6243 0.1855
3.366 0.000763 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 (Dispersion parameter for binomial f... | 4 | [
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How to Find Tangent: A Comprehensive Guide - The Explanation Express
How to Find Tangent: A Comprehensive Guide
I. Introduction
Tangent is a fundamental mathematical concept that is used to determine the slope of curved lines. It has broad applications in various fields, ranging from engineering and physics to astron... | 4 | [
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How do you find the derivative of (lnx)/x^(1/3)? | HIX Tutor
How do you find the derivative of #(lnx)/x^(1/3)#?
Answer 1
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{3 - \ln x}{3 {x}^{\frac{4}{3}}}$
#y = lnx/root3x = lnx/x^(1/3)#
Applying the quotient rule:
#dy/dx = (x^(1/3)* 1/x - lnx* 1/3x^(-2/3))/x^(2/3)#
#= (x^(-... | 5 | [
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Interior, Boundary, and Closure
Real Analysis: Local Metric Topology
Interior, Boundary, and Closure
We will now formalize the notion of the three closely related concepts of the interior, boundary, and closure of a set, plus the exterior. For all discussions here, we assume that $(X, d)$ is a
metric space.
Interior... | 5 | [
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21.6 DC Circuits Containing Resistors and Capacitors
Chapter 21 Circuits and DC Instruments
21.6 DC Circuits Containing Resistors and Capacitors
Summary
• Explain the importance of the time constant,
• Explain why batteries in a flashlight gradually lose power and the light dims over time.
• Describe what happ... | 5 | [
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RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.7
Rajasthan Board RBSE Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.7
Question 1.
Find the angle between the planes :
Solution:
Question 2.
Find the angle between the planes :
(i) x + y + 2z = 9 and 2x – y + z = 15
(ii) 2 x ... | 4 | [
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Introduction Matrix Multiplication in R
Matrix multiplication is a fundamental operation in linear algebra, and R provides efficient functions. The matrix multiplication in R can be done easily. For this purpose, the %*% operator is used
for general matrix multiplication. An $n\times 1$ or $1 \times n$ vector (also c... | 5 | [
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What are the factors of 2m^3+3m^2+4m+6? | Socratic
What are the factors of #2m^3+3m^2+4m+6#?
1 Answer
$2 {m}^{3} + 3 {m}^{2} + 4 m + 6$
by factoring ${m}^{2}$ out of the first two terms and $2$ out of the last two terms,
$= {m}^{2} \left(2 m + 3\right) + 2 \left(2 m + 3\right)$
by factoring out $2 m + 3$,
$= \lef... | 4 | [
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The Combination Projection Method for Solving Convex Feasibility Problems
Tianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China, Tianjin 300300, China
^*
Author to whom correspondence should be addressed.
Submission received: 17 October 2018 / Revised: 4 No... | 5 | [
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Vertex Form Calculator
Last updated:
Vertex Form Calculator
New
This is the vertex form calculator (also known as vertex calculator or even find the vertex calculator). If you want to know how to find the vertex of a parabola, this is the right place to begin.
Moreover, our tool teaches you what the vertex form of a... | 4 | [
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Polynomial Formula of Math Topics | Question AI
<div class="basic-navigation__BackgroundWrapper-sc-j3ac2x-3 zrYUG"><div><div style="display:flex;flex-direction: column;padding: 12px 10px; box-shadow: rgba(0, 0, 0, 0.1) 2px 2px 12px;border-radius:
4px;overflow: hidden;"> <p>A polynomial formula is a formula that express... | 4 | [
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Precalculus - Online Tutor, Practice Problems & Exam Prep
Welcome back, everyone. So over the course of these next couple of videos, we're going to be learning an important skill to have in this course, which is being able to find the area underneath a
function. Now for this video, we're specifically going to be focusi... | 4 | [
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Financial Management Case Study
Financial Management Case Study
One of the important duties of a nurse leader is to manage personnel and personnel budgets. In this assignment, you will assume the role of a nurse manager. You will use given data to make important
decisions regarding budgets and staffing.
Some nurse ... | 4 | [
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This research developed theory and software for commercial optical lens manufacturing and aircraft canopy restoration, drawing upon intellectual disciplines including mathematical modelling,
numerical analysis, and research software engineering. Today, this research would naturally categorize into the new and rapidly ... | 4 | [
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Electrical Parameters in Series and Parallel Circuits 🌐⚡️
What are the electrical parameters in series and parallel electrical networks?
In our last article, we looked at the principles of operation of electrical cells. In this article we’re going to move on to the electrical parameters in both series and parallel el... | 4 | [
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0.... | 13,699,145 | 13699145 | |
Use the theory of congruences to verify that 89 | 2^{44} - 1 and 97 | 2 ^{48} - 1.
Elementary Number Theory Problems 4.2 Solution (David M. Burton's 7th Edition) - Q16
My Solution for "Use the theory of congruences to verify that $$89 \mid 2^{44} - 1 \qquad \text{and} \qquad 97 \mid 2 ^{48} - 1$$"
Background
All th... | 4 | [
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... | 13,699,146 | 13699146 | |
Amp to KW?
I am not sure where this question would be best posted, so I will try here and see what happens. I am hoping that someone can either tell me or point me in the right direction. What I want to be able
to figure out is how many amp hours it would require at 12 volts to produce one KW at 120 volts. I am hoping... | 4 | [
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0.0066... | 13,699,147 | 13699147 | |
In class activity
This notebook details the voter survey simulation presented in lecture as part of the Miller case study. Recall that the point of the simulation is to show that, under some assumptions about the
sampling design and missing data mechanism, a strongly biased result is expected even when the actual rate ... | 5 | [
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Perfect competition, calculating marignal cost and equilibrium
This post is a question an answer for the economics of a perfectly competitive firm.
Suppose the following data summarize the cost of a perfectly competitive firm:
a) draw the firm's MC curve on a graph
b) draw the market supply curve on another graph
c) ... | 4 | [
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Calculation of Ore Tonnage & Grade from Drill hole Samples - 911Metallurgist
The usual method of sampling mineral deposits is to drill holes and assay the sludge or core. Though the results thus obtained may not represent the true average value of the deposit, it is on these
results that estimates of practically all la... | 4 | [
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... | 13,699,150 | 13699150 | |
Module Information
Module Identifier
MP10610
Module Title
Calculus
Academic Year
2025/2026
Co-ordinator
Semester
Semester 1
Pre-Requisite
Mathemateg Safon Uwch neu gyfatebol
Co-Requisite
Exclusive (Any Acad Year)
Reading List
Other Staff
Course Delivery
Assessment
Assessment Type ... | 4 | [
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a+bi Form Calculator
Created by Anna Szczepanek, PhD
Reviewed by Komal Rafay
Last updated: Jan 18, 2024
Welcome to Omni's a+bi form calculator, where you can quickly convert a complex number from its polar to rectangular form. Keep reading if you want to learn or recall what these two forms of a
complex number are ... | 4 | [
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... | 13,699,152 | 13699152 | |
quation
Solve
Solve[expr,vars]
attempts to solve the system expr of equations or inequalities for the variables vars.
Details and Options
• lhs==rhs equations
lhs!=rhs inequations
lhs>rhs or lhs>=rhs inequalities
expr∈dom domain specifications
{x,y,…}∈reg ... | 5 | [
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2nd PUC Physics Model Question Paper 3 with Answers
Students can Download 2nd PUC Physics Model Question Paper 3 with Answers, Karnataka 2nd PUC Physics Model Question Paper with Answers helps you to revise the complete Karnataka State Board Syllabus
and to clear all their doubts, score well in final exams.
Karnatak... | 5 | [
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Serrin's accumulation function, the First and the Second Laws of Thermodynamics
Abstract
Beginning in 1979, the First and Second Laws of Classical Thermodynamics were given a new lease of life through the researches of Serrin. The definition of a positive, empirical temperature scale was
shown to depend on the ideas o... | 4 | [
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Lo
Lesson 6
Areas in Histograms
6.1: Find the Area (5 minutes)
Warm-up
The mathematical purpose of this activity is for students to find the area of a different regions under a curve. Monitor for students who divide the shaded area into a square and triangle and those
who treat the entire shape as a trapezoid. Lat... | 4 | [
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Hyperbolic partial differential equation
From Encyclopedia of Mathematics
at a given point $ M( x _ {1} \dots x _ {n} ) $
A partial differential equation for which the Cauchy problem is uniquely solvable for initial data specified in a neighbourhood of $ M $ on any non-characteristic surface (cf. Characteristic sur... | 4 | [
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Set Up a Linear Program, Solver-Based
Convert a Problem to Solver Form
This example shows how to convert a problem from mathematical form into Optimization Toolbox™ solver syntax using the solver-based approach. While the problem is a linear program, the techniques
apply to all solvers.
The variables and expressions... | 5 | [
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Fundamental Theorem of Calculus
Mathematics → Subject Test → Fundamental Theorem of Calculus Part-II
The Second Fundamental Theorem of Calculus.
Definition
Let f be a continuous function on an interval I, and let a be any point in I. If F is defined by
then
at each point x in the interval I.
This is the statement... | 5 | [
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Boxes Of Chocolates
Problem statement
This is the time when Dr. Stephen wants to distribute chocolates. He has N number of boxes in a row, and each box contains some chocolates. Now, He wants to distribute chocolates to K children
keeping in mind that distribution should be as fair as possible. To fairly distribute t... | 5 | [
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Bohmian Mechanics
Introduction to Bohmian Mechanics
Bohmian mechanics is the infamous theory of quantum theory that is readily understood, easy to analyze, and in complete agreement with the predictions of quantum mechanics.
At this site, we will explore what this theory is, how it solves many problems, the challenge... | 4 | [
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Sampling Distribution Calculator
Enter the population mean, standard deviation, sample size, and target sample mean to calculate the probability of obtaining that sample mean in a normal distribution.
Probability of Obtaining the Sample Mean:
Understanding Sampling Distribution
In a normal distribution, the sampli... | 5 | [
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Introduction to Bilevel Optimization | Bilevel Optimization PortalIntroduction to Bilevel Optimization
Tutorials
| Published:
September 26, 2018
Introduction to Bilevel Optimization
Jesús-Adolfo Mejía-de-Dios 2 min read
It is well known that, without loss of generality, an optimization problem can be defined as fi... | 4 | [
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A fast algorithm for calculation of random response of elastic thin plate under distributed random load
Abstract
The calculation of response power spectrum of elastic thin plates, the common load-carrying structures in engineering, under distributed random load has been suffering from many problems, such as low
effici... | 4 | [
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What Is the Perimeter of a Semicircle?
Perimeter of a semicircle is the total length of its boundary, which is composed of half of the circumference of the circle and the length of the diameter.
Perimeter of a semicircle $= \pi r + 2r$
What is a semicircle?
When a circle is divided into two equal halves by the dia... | 4 | [
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Solve the following linear inequations in R 3x + 9 ≥ –x + 19
Given 3x + 9 ≥ –x + 19
⇒ 3x + 9 – 9 ≥ –x + 19 – 9
⇒ 3x ≥ –x + 10
⇒ 3x + x ≥ –x + 10 + x
⇒ 4x ≥ 10
Thus, the solution of the given inequation is.
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Calculating Square Feet for Painting Projects: Methods and Practical Examples
How to Calculate Square Feet for Paint
For most home improvement projects, knowing how to calculate square feet is an important skill. From painting, square feet is going to be a necessary measurement to get the right amount of materials
f... | 4 | [
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Cylinder volume – diameter, height in in (ft) – in^3, ft^3, yd^3, m^3, L
The volume of a cylinder V is:
0.00in^3
0.00ft^3
0.00yd^3
0.00m^3
0.00L
How to calculate the volume of a cylinder?
The volume of the cylinder is determined by the formula:
V=h*Π*d^2/4, где
h – cylinder height (cylinder length);
Π = 3.1... | 4 | [
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Solve this DILR Question on Dorms from CAT 2017. You are required to understand the underlying classifications of repairs and use all the information that is provided in the constraints. If you would
like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
CAT DI... | 4 | [
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None
01-22-2024, 01:34 AM
Post: #33
Albert Chan Posts: 2,789
Senior Member Joined: Jul 2018
RE: lambertw, all branches
Hi, Gil
If you want to implement W to HP50g, ignore lua I.W code, and use only Python code (post 16)
My guess is HP50g does not support signed zero anyway.
Python code, including blank lin... | 4 | [
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Find the price a purchaser should be willing to pay for the
given bond. Assume that...
Find the price a purchaser should be willing to pay for the given bond. Assume that...
Find the price a purchaser should be willing to pay for the given bond. Assume that the coupon interest is paid twice a year. $18000 bond with co... | 5 | [
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Lesson: Trig SOH CAH TOA
There are 4 things needed to do trigonometry
There are 4 things needed to do trigonometry
1. Trig Formulas
There are 4 things needed to do trigonometry
1. Trig Formulas
2. Labeling Sides
There are 4 things needed to do trigonometry
3. Setting up Formula
1. Trig Formulas
2. Labeling Sid... | 4 | [
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Reaction Half-life (Lecture 4)
I think the most important thing you should remember is what does reaction half-life mean conceptually, which pretty much follows from the meaning of words:
the half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value.
Aft... | 4 | [
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Construct Confidence Intervals - Homework hub
Description Week 8 – Assignment: Construct Confidence Intervals and Statistical Tests Instructions For this task, write a paper using the following structure: Begin with a one or two-paragraph
introduction that summarizes the meaning of the reading material. Answer all of t... | 4 | [
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Geometry
Matrices
Reading time: 9 mins.
Creating an image with all the 3D elements and the camera fixed at the origin would be quite restrictive. Essentially, matrices are crucial for manipulating objects, lighting, and camera positions
within a scene, enabling you to craft your image as desired.
Introduction to Mat... | 4 | [
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Algebra I Common Core Regents Exam - August 2016 (solutions, worksheets, videos, questions, activities)
Algebra I Common Core Regents New York State Exam - August 2016
The following are questions from the past paper
Regents High School Algebra I August 2016 Exam (pdf).
Scroll down the page for the step by step solutio... | 4 | [
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LCM and HCF
86. The least number which when divided by 4, 6, 8 and 9 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is :
1.
1. View Hint View Answer Discuss in Forum
LCM of 4, 6, 8, 9
∴ LCM = 2 × 2 × 3 × 2 × 3 = 72
Correct Option: B
LCM of 4, 6, 8, 9
∴ LCM... | 4 | [
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The Kelvin transform is a device used in classical potential theory to extend the concept of a harmonic function, by allowing the definition of a function which is 'harmonic at infinity'. This
technique is also used in the study of subharmonic and superharmonic functions.
In order to define the Kelvin transform f^* o... | 4 | [
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if (n_params() eq 0) then begin print, 'Usage: bayesupdatenew2,prior,newp,post,expert=expert,$' print, ' hik=hik,mtit=mtit,usegcms=usegcms,alf=alf,dt=dt,$' print, ' indiv=indiv,yrng=yrng,label=
label,dataprior=dataprior,$' print, ' dof1=dof1,dof2=dof2,noplot=noplot,igsm2=igsm2,mcmc=mcmc,i2post=i2post' print, ' prior =... | 4 | [
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Linear Independence | Brilliant Math & Science Wiki
Linear independence is a property of sets of vectors that tells whether or not any of the vectors can be expressed in terms of the other vectors (and any scalars).
A linear combination of elements in a set \(S\) of vectors in some vector space \(V\) is a finite s... | 4 | [
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Group actions | Brilliant Math & Science Wiki
A group action is a representation of the elements of a group as symmetries of a set. Many groups have a natural group action coming from their construction; e.g. the dihedral group \(D_4\) acts on
the vertices of a square because the group is given as a set of symmetries o... | 5 | [
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Why Must the Number of Variables Equal the Number of Equations?
(New question of the week)
Now that we are receiving questions at the new site, we will be periodically posting some of those questions and answers, in addition to going back to particularly interesting questions from the old
archive.
This question (whi... | 4 | [
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Capacitance Calculator
What is Capacitance?
Capacitance is the ability of a component or circuit to store an electric charge. The most common components used to store charge are capacitors. Capacitors are used in various applications in
electronics, from filtering to energy storage, signal processing, and more. The ca... | 4 | [
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Morin-Duchesne
Alexi Morin-Duchesne, Jesper Lykke Jacobsen
SciPost Phys. 4, 034 (2018) · published 19 June 2018 | Toggle abstract · pdf
We investigate six types of two-point boundary correlation functions in the dense loop model. These are defined as ratios $Z/Z^0$ of partition functions on the $m\times n$ square la... | 4 | [
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AP Board 9th Class Maths Solutions Chapter 11 Areas Ex 11.2
AP State Syllabus AP Board 9th Class Maths Solutions Chapter 11 Areas Ex 11.2 Textbook Questions and Answers.
AP State Syllabus 9th Class Maths Solutions 11th Lesson Areas Exercise 11.2
Question 1.
The area of parallelogram ABCD is 36cm^2. Calculate the he... | 4 | [
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Initial Investments Formula and examples with Matlab
Initial Investments Formula
We're going to implement in Matlab a formula for initial investments.
This code calculates the amount necessary to provide a stated future value in a specified time period.
You must enter the future value of the investment, the number... | 4 | [
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[SOLVED] Not getting expected performance from kalman filter+mahalanobis distance ~ Robotics ~ TransWikia.com
I am using a 1D lidar in one of my projects and it returns the distance it measures, in millimeters (mm). At some point in time, it gives garbage values that go as high as 10,000 or higher, when the
value is ex... | 4 | [
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ding Equity
Understanding Equity Trees
Introduction
Financial Instruments Toolbox™ supports five types of recombining tree models to represent the evolution of stock prices:
• Cox-Ross-Rubinstein (CRR) model
• Equal probabilities (EQP) model
• Leisen-Reimer (LR) model
• Implied trinomial tree (ITT) model... | 5 | [
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Assume linear model y=Xβ+ε
Assume cov(ε)=σ2I (I is the identity matrix)
Show that cov(β-hat) =
σ2(XTX)-1...
Assume linear model y=Xβ+ε Assume cov(ε)=σ2I (I is the identity matrix) Show that cov(β-hat) = σ2(XTX)-1...
Assume linear model y=Xβ+ε
Assume cov(ε)=σ^2I (I is the identity matrix)
Show that cov(β-hat) = σ^2(X... | 4 | [
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Accessible and Inaccessible Basin Boundary Points
Next: Conclusion Up: Table of Contents Previous: Verification of Wada
We say a basin boundary point accessible from a particular basin, if there is another point in the interior of the particular basin which can be connected to inaccessible from a particular basin... | 4 | [
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Introduction to Numerical Methods/Numerical Differentiation - Wikibooks, open books for an open world
Objectives:
• explain the definitions of forward, backward, and center divided methods for numerical differentiation
• find approximate values of the first derivative of continuous functions
• reason about the a... | 5 | [
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Tangent - Perpendicular to Radius | Brilliant Math & Science Wiki
Tangent - Perpendicular to Radius
A tangent to a circle is a line intersecting the circle at exactly one point, the point of tangency or tangency point. An important result is that the radius from the center of the circle to the
point of tangency is per... | 4 | [
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tion
Note the distinction between binary operation and binary relation, a binary operation is a function, which is a binary relation with some extra conditions.
Left fold formalizes the idea that we want to look at objects of the form $\left(\left(\left({x}_{0}\star {x}_{1}\right)\star {x}_{2}\right)\star \cdots \star... | 4 | [
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How do you solve the differential equation dy/dx=6y^2x, where y(1)=1/25 ? | Socratic
How do you solve the differential equation #dy/dx=6y^2x#, where #y(1)=1/25# ?
1 Answer
$\implies y = \frac{1}{28 - 3 {x}^{2}}$
Explanation:
We are given:
$\frac{\mathrm{dy}}{\mathrm{dx}} = 6 {y}^{2} x$
Separate the variables:
$\... | 5 | [
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Miller indices are sets of numbers, usually three, that indicate the orientation of planes or sets of planes of atoms in a lattice, depending on the type of parentheses/brackets used. For instance,
the numbers representing a single plane are enclosed in round brackets (1 1 1), while those for a family of planes are en... | 4 | [
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herd immunity – bdocs rambling
New confirmed cases of coronavirus, 7-day rolling average, USA vs Europe
Introduction
A couple of interesting articles on the Coronavirus pandemic came to my attention this week; a recent one in National Geographic on June 26th, highlighting a startling comparison, between the USA’s
ca... | 4 | [
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Histograms, Frequency Polygons, and Time Series Graphs
Module 2: Descriptive Statistics
Histograms, Frequency Polygons, and Time Series Graphs
Barbara Illowsky & OpenStax et al.
For most of the work you do in this book, you will use a histogram to display the data. One advantage of a histogram is that it can readily... | 4 | [
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er
Lesson 9
The Distributive Property, Part 1
9.1: Number Talk: Ways to Multiply (5 minutes)
Warm-up
Students perform mental calculations by applying strategies involving the distributive property.
Launch
Display one problem at a time. Give students 30 seconds of quiet think time for each problem and ask them to ... | 4 | [
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308 Maximum Horsepower That Can be Transmitted by Steel Shaft
Problem 308
A 2-in-diameter steel shaft rotates at 240 rpm. If the shearing stress is limited to 12 ksi, determine the maximum horsepower that can be transmitted.
Solution 308
Click here to expand or collapse this section
$\tau_{max} = \dfrac{16T}{\pi d^... | 5 | [
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