content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
The Comprehensive Guide to Sound Wave Equations: Amplitude, Intensity, and Loudness
Sound waves are a fundamental concept in physics, and understanding the equations that govern their behavior is crucial for many applications, from audio engineering to medical imaging. In this
comprehensive guide, we will delve into ... | 4 | [
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Product Rule - (College Algebra) - Vocab, Definition, Explanations | Fiveable
Product Rule
from class:
College Algebra
Definition
The product rule is a fundamental concept in mathematics that describes the derivative of a product of two functions. It states that the derivative of a product is equal to the product o... | 5 | [
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Todd Trimble distributivity implies monicity of coproduct inclusions
Proposition
If products distribute over coproducts, then coproduct inclusions are monic.
Proof
Let $i_B: B \to B + C$ be a coproduct inclusion, and suppose given maps $f, g: A \to B$ such that $i_B f = i_B g$. We observe that the coproduct inclus... | 5 | [
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product-of-array-except-self | Leetcode
Similar Problems
Similar Problems not available
Product Of Array Except Self - Leetcode Solution
LeetCode: Product Of Array Except Self Leetcode Solution
Difficulty: Medium
Topics: prefix-sum array
Problem Statement:
Given an array nums of n integers where n > 1, return... | 4 | [
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Picking Priors
Overview
Picking priors is both an important and difficult part of Bayesian statistics. This vignette is not intended to be an introduction to Bayesian statistics, here I assume readers are already know what
a prior/posterior is. Just to review, a prior is a probability distribution representing an ana... | 4 | [
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In order to calculate the mean deviation (mean absolute deviation) and standard deviation, we first calculate the mean of the data set. The mean or average is given by the formula;
Mean= . For Set A, Mean= 15/6 =2.5 while mean for set B = 15/6= 2.5. The two sets have equal means. The following tables summarize the ... | 4 | [
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A probabilistic model for flood forecasting based on hydrological data in the state of Maranhão, Brazil
1. Introduction
Floods can have a devastating impact on any region where they occur. Nonetheless, the frequency and severity of these events have increased significantly due to climate change in recent years (
Wasee... | 4 | [
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Error Propagation (Propagation of Uncertainty)
Error propagation (or propagation of uncertainty) is what happens to measurement errors when you use those uncertain measurements to calculate something else. For example, you might use velocity to
calculate kinetic energy, or you might use length to calculate area. When ... | 5 | [
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Smart measurements of the heavensSmart measurements of the heavens – Science in School
Get your students to use their smartphones for some hands-on astronomy.
Exactly where are you at this moment? One way to find out would be to use the satellite positioning function (often known as GPS) of your mobile phone. In the p... | 4 | [
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What x values is the function concave down if f(x) = 15x^(2/3) + 5x? | Socratic
What x values is the function concave down if #f(x) = 15x^(2/3) + 5x#?
1 Answer
$f \left(x\right) = 15 {x}^{\frac{2}{3}} + 5 x$ is concave downward for all $x < 0$
As Kim suggested a graph should make this apparent (See bottom of this po... | 4 | [
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On What Interval Is The Function H(x) = |x 2| + 5 Increasing? A. (2, ) B. (5, ) C. (-, 2) D. (-, 5)
The function h(x) = |x - 2| + 5 is increasing for x values greater than 2. Mathematically, we can express this interval as (2, ∞).
So, the correct option is A. (2, ∞)
To determine on which interval the function h(x) = ... | 5 | [
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Development of Quantum Theory
Electronic Structure and Periodic Properties of Elements
Development of Quantum Theory
OpenStaxCollege
[latexpage]
Learning Objectives
By the end of this section, you will be able to:
• Extend the concept of wave–particle duality that was observed in electromagnetic radiation to ma... | 5 | [
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Collection of Solved Problems
Cold Sheet
Task number: 1276
Estimate how many degrees Celsius can we reduce from the temperature of a sick child by wrapping him or her in a wet sheet.
Note: Given that human body consists mainly of water, consider that its specific heat capacity has the same value as water. Assume tha... | 4 | [
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False Proofs: Complex Numbers
Last time we looked at some false proofs, which are often used to help students understand what does and does not constitute a valid proof, and in particular, to remind them to be careful in
algebraic proofs, looking for issues like division by zero and taking square roots. This time, we’... | 5 | [
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\sum\
Hint: An Arithmetic Progression or Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
A Harmonic Progression (H.P) is a progression formed by taking reciprocals of an Arithmetic Progression (A.P).
$H.P = \dfrac{1}{{A.P}}$
A sequence is a set of numbers... | 4 | [
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Multiplication square
Pick a square within a multiplication square and add the numbers on each diagonal. What do you notice?
Problem
Multiplicaton Square printable sheet - problem
Multiplication Square printable sheet - grid
Take a look at the multiplication square below:
Pick any 2 by 2 square and add the nu... | 4 | [
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Black Body Radiation
Planck’s Route to the Black Body Radiation Formula and Quantization
Michael Fowler
Wien’s Radiation Law
Wien proved using classical thermodynamics that the shape of the black body curve didn’t change with temperature, the curve just grew and expanded. However, the thermodynamic methods didn’t ... | 4 | [
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Internal Rate of Return Decoded: Smart Investing in CRE - AtlasX
Internal Rate of Return, commonly known as IRR, is a metric used to assess the profitability of an investment over time. In the context of commercial real estate, IRR is a powerful indicator that
provides investors with a dynamic perspective on the potent... | 5 | [
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Differential Equations and Linear Algebra, 8.1: Fourier Series
From the series: Differential Equations and Linear Algebra
Gilbert Strang, Massachusetts Institute of Technology (MIT)
A Fourier series separates a periodic function F(x) into a combination (infinite) of all basis functions cos(nx) and sin(nx).
Publishe... | 4 | [
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Fitting a power-law distribution function to discrete data — fit_power_law
Fitting a power-law distribution function to discrete data
Source:
R/fit.R
fit_power_law.Rd
fit_power_law() fits a power-law distribution to a data set.
Usage
fit_power_law(
x,
xmin = NULL,
start = 2,
force.continuous = FALSE,
i... | 5 | [
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More on Sequences
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your
device is not in landscape mode many of t... | 5 | [
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7 Corrected exercises on flow problems - Complex systems and AI
7 Corrected exercises on flow problems
This page contains various corrected exercises on max flow problems. These problems mainly use the algorithm Ford-Fulkerson and the min-cut solution.
Using the Ford-Fulkerson method, calculate a maximum throughput i... | 5 | [
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Digital-Logic-Design
October 15, 2023
Binary-Trees
October 15, 2023
If F and G are Boolean functions of degree n. Then, which of the following is true ?
F ≤ F + G and F G ≤ F
G ≤ F + G and F G ≥ G
F ≥ F + G and F G ≤ F
G ≥ F + G and F G ≤ F
Question 550 Explanation:
Given data,
— F and G are boolean ... | 4 | [
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A Springy Thingy, Part 2 - David The Maths TutorA Springy Thingy, Part 2
A Springy Thingy, Part 2
So last time, I presented the equation that describes the position of a mass on a spring:
Animated portion is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license
The equation is
\[ {x}\hsp... | 4 | [
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All solutions:
In general, when someone wants to see all possible solutions to a linear programming problem or integer linear programming problem, they are probably asking the wrong question, wanting to use linprog
to do some work it was not designed to do. linprog/intlinprog are designed to solve a problem, producin... | 5 | [
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accumulated value
12 results
accumulated value - The total value of an inves... | 5 | [
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How to use multiple criteria in SUMIF Function ExcelHow to use multiple criteria in SUMIF Function Excel
How to use multiple criteria in SUMIF Function Excel
In this article, we will learn How to use multiple criteria in SUMIF Function Excel.
How to Sum if with multiple criteria
In simple words, while working with a... | 4 | [
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Number Puzzle #81
A box contains beer bottles if divided between 4 friends 4 bottles are balance and if divided between 5 friends 3 bottles are balance what will be the balance if divided between 7 friends the box
contains minimum no of bottles.
Check your answer:-
Click here to See Answer
Answer: There will be one... | 4 | [
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None
The Bohlen-Pierce Site
Fokker Lattice Representation of BP
L... | 4 | [
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Getting started with solving rich tasks
Before we begin, here are two important pieces of general advice:
DON'T PANIC and IT IS OK TO BE STUCK
Although panic rarely helps you to solve a question, being stuck can, in fact, be a good thing. Why? Because by becoming un-stuck we become better at mathematics. So, as you ... | 4 | [
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Super concrete computations of the cohomology ring of the torus
Note: this blog can also be read as this .pdf, which was generated from this .tex file. The diagrams were generated with Tikz; their code is in the .tex file.
Date written: 2020.11.22
Cohomology is everywhere in modern mathematics, yet many people learn... | 5 | [
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Linear Algebra Topic 1: Matrices and Vectors
Podcast Beta
Play an AI-generated podcast conversation about this lesson
What is a determinant of a matrix?
The determinant of a matrix is a scalar representation of the matrix.
Which statement about determinants is true?
All matrices have determinants
Determinants of A... | 4 | [
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Sparse
sparss
Sparse first-order state-space model
Since R2020b
Description
Use sparss to represent sparse descriptor state-space models using matrices obtained from your finite element analysis (FEA) package. FEA involves the concept of dynamic substructuring where a
mechanical system is partitioned into componen... | 4 | [
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Square & Square Root of 98 - Methods, Calculation, Formula, How to find
Square & Square Root of 98
Square of 98
98² (98×98) = 9604
To calculate the square Number of 98, you multiply 98 by itself:
Therefore, the square of 98 is 9604. This calculation is done by multiplying 98 by itself, which results in 9604. Unders... | 4 | [
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Exterior covariant derivative
Jump to navigation Jump to search
In mathematics, the exterior covariant derivative is an analog of an exterior derivative that takes into account the presence of a connection.
Definition[edit]
Let G be a Lie group and P → M be a principal G-bundle on a smooth manifold M. Suppose there ... | 4 | [
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Chemistry Lesson: Average Atomic Mass Calculations - Get Chemistry Help
Chemistry Lesson: Average Atomic Mass Calculations
[View the accompanying Atomic Mass Practice Problems Part I here.]
Atomic Mass
The atomic mass is an experimental number determined from all of the naturally occuring isotopes of an element. As ... | 4 | [
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Application of a Novel Automatic Method for Determining the Bilateral Symmetry Midline of the Facial Skeleton Based on Invariant Moments
^1
Craniofacial Injury and Concussion Research Laboratory, Western University, London, ON N6A 3K7, Canada
^2
School of Biomedical Engineering, Faculty of Engineering, Western Univ... | 4 | [
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Parabola Formula | Equation, Properties, Examples
Equation, Properties, Examples | Parabola Formula
The parabola is an appealing and multifaceted geometric shape which has drew the attention of mathematicians and scientists for hundreds of years. Its unusual properties and plain yet elegant
equation makes it a powerf... | 4 | [
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varia
dsp.MovingVariance
Description
The dsp.MovingVariance System object™ computes the moving variance of the input signal along each channel, independently over time. The object uses either the sliding window method or the exponential
weighting method to compute the moving variance. In the sliding window method, a... | 4 | [
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Con
This thin lens calculator tool helps find the focal length, image position, and magnification of an optical system involving thin lenses.
These calculators are widely used in optics, physics, and related fields to analyze the behavior of light rays passing through lenses.
They simplify the calculations involved i... | 4 | [
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Application
1 Binary Systems
1.1 Digital Computers and Digital Systems
Digital computers have made possible many scientific, industrial, and commercial advances that would have been unattainable otherwise. Our space program would have been impossible without real-time,
continuous computer monitoring, and many busines... | 4 | [
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Socially conscious investors screen out stocks of alcohol and
tobacco makers, firms with poor environmental records,...
Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records,...
Socially conscious investors screen out stocks of alcohol and tobacco makers, f... | 5 | [
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Rust Interview Puzzles: Reverse a number
Problem
We need to reverse a provider integer (i32) number num without converting it to a string or using axillary data structures. Also, we should take care of a possible i32 overflow when reversing the
number - in that case, we should return 0.
Examples:
Input num Output... | 4 | [
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Blackman-Tukey Spectral Estimator in R
There are two definitions of the power spectral density (PSD). Both definitions are mathematically nearly identical and define a function that describes the distribution of power over the frequency
components in our data set. The periodogram PSD estimator is based on the first def... | 4 | [
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ACT Math Topics (Everything you need to know)
Even though every ACT exam will be slightly different every time, there is a general test bank of questions and concepts that the test makers get their questions from. All the topics that are on the
ACT exam are listed below. Therefore, if you study these concepts and feel ... | 4 | [
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Secant of a Circle- Definition, Formula, Properties, Theorems and Examples
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Secant o... | 4 | [
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Beam Analysis
Beam Analysis Instructions
This page provides instructions on the use of the Beam Calculator.
Reference and Validation
Reference: A general description of the theory and the methodology used can be found here.
Validation: This tool has been validated against the known solutions to numerous example pr... | 4 | [
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Discovering the Bayesian UniverseDiscovering the Bayesian Universe
TM
Discovering the Bayesian Universe
What is this post about?
Yesterday I submitted my final assignment for my Bayesian Econometrics course and it was one hell of a journey. Definitelly hated the Bayesian approach at the beginning, but going through ... | 4 | [
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Digital Circuits 3: Combinational Circuits
Computers are good at math. Computers, as we've seen, are made out of simple gates. Gates just do simple logic functions like AND and OR, not math like addition and subtraction. How do we reconcile
this?
Simple... we make circuits out of logic gates that can do math. In this... | 4 | [
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Volume 06, Issue 08 (August 2017)
Implementation of Finite Field Arithmetic Operations for Large Prime and Binary Fields using java BigInteger Class
DOI : 10.17577/IJERTV6IS080209
Download Full-Text PDF Cite this Publication
Tun Myat Aung, Ni Ni Hla, 2017, Implementation of Finite Field Arithmetic Operations for L... | 4 | [
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In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual. In components, it is expressed as a sum of products of
scalar components of the tensor(s) caused by applying the summation convention to a pair of dummy indices that are bound... | 4 | [
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Aaltodoc Repository :: Browsing by Author "Jiamjitrak, Wanchote Po"
Browsing by Author "Jiamjitrak, Wanchote Po"
Now showing 1 - 3 of 3
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• New Analytical Methods for Online Binary Search Trees
(Aalto University, 2023) Jiamjitrak, Wanchote Po; Chalermsook, Parinya, Asst. Prof., A... | 4 | [
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0.... | 13,706,751 | 13706751 | |
24jun22
12meter xband cal values measured 24jun22
24jun22
Links to PLOTS:
Links to SECTIONS:
Why the cals were remeasured.
The model used to ... | 4 | [
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... | 13,706,752 | 13706752 | |
The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are Combined, and Taught Inductively
116. 976.64 is 43.1 times what number? 117. 43308 is 1.97 times what number?
118. Divide mentally, 69 by 3; 74 by 2; 64 by 2; 84 by 4; 66 by 2; 82 b... | 4 | [
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AP SSC 10th Class Maths Solutions Chapter 10 Mensuration Ex 10.1
AP State Board Syllabus AP SSC 10th Class Maths Textbook Solutions Chapter 10 Mensuration Ex 10.1 Textbook Questions and Answers.
AP State Syllabus SSC 10th Class Maths Solutions 10th Lesson Mensuration Exercise 10.1
10th Class Maths 10th Lesson Mensu... | 4 | [
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2.3: Spherical Mirrors (2024)
Page ID
4493
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mat... | 5 | [
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Interstellar Radio Propagation
Proxima Centauri: The Closest Star.
Credit & Copyright: David Malin, UK Schmidt Telescope, DSS, AAO
It's a staple of Science Fiction, and an unquestioned fact of our modern age, that aliens could be listening to our radio and watching our TV broadcasts, as our signals race across the ga... | 5 | [
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0.044189453125,
-0.11669921875,... | 13,706,756 | 13706756 | |
Legendre symbol
Suppose p is an odd prime and a is any integer. The Legendre symbol (a|p) is defined to be
+1 if a is a quadratic residue (mod p),
−1 if a is a quadratic non-residue (mod p) and,
0 if p divides a
Note: the Legendre symbol is often written vertically:
Euler showed that (a|p) ≡ a^(p−1... | 4 | [
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-... | 13,706,757 | 13706757 | |
Basic concepts
edit
The pitch of a pure screw relates rotation about an axis to translation along that axis.
A spatial displacement of a rigid body can be defined by a rotation about a line and a translation along the same line, called a screw motion. This is known as Chasles' theorem. The six parameters
that defi... | 4 | [
-0.0625,
-0.03759765625,
-0.031005859375,
-0.107421875,
-0.10009765625,
0.1005859375,
-0.01116943359375,
0.0166015625,
0.166015625,
0.0498046875,
0.0927734375,
0.0498046875,
0.0260009765625,
0.0096435546875,
-0.068359375,
-0.054931640625,
-0.09228515625,
0.068359375,
-0.042724609... | 13,706,758 | 13706758 | |
None
Yesterday we investigated the effect of using the 200-day simple moving average (200SMA) as a proxy for a rules-based investing method. The idea was to approximate what a reasonably rational actor/
agent might do in addition to the buy-and-hold approach. When folks talk about research, backtesting, and forecast co... | 4 | [
-0.0225830078125,
0.00982666015625,
-0.027587890625,
0.06005859375,
0.00897216796875,
-0.004119873046875,
-0.04736328125,
0.06640625,
-0.01190185546875,
0.040283203125,
-0.036376953125,
0.10888671875,
0.0179443359375,
-0.015380859375,
-0.04296875,
-0.0634765625,
-0.022216796875,
-0... | 13,706,759 | 13706759 | |
Lecture Notes 2 A
Lecture Notes 2 A
Lecture Notes 2 A
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LECTURE 2. (TEXED): IN CLASS: PROBABLY LECTURE 3.MANIFOLDS 1. FALL 2006. TANGENT VECTORS.Overview: Tangent vec... | 4 | [
-0.0693359375,
-0.0103759765625,
0.044677734375,
-0.0198974609375,
0.055419921875,
0.06298828125,
0.0927734375,
0.166015625,
0.05419921875,
0.0146484375,
0.060546875,
0.0126953125,
0.00927734375,
-0.07568359375,
-0.0277099609375,
0.022216796875,
-0.044677734375,
-0.01434326171875,
... | 13,706,760 | 13706760 | |
Listed below are the lead concentrations in μg/g measured in
different traditional medicines. Use a 0.05...
Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05...
Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a ... | 5 | [
0.053466796875,
0.0537109375,
0.052978515625,
-0.029052734375,
0.00885009765625,
0.0264892578125,
-0.033935546875,
0.166015625,
0.00872802734375,
0.068359375,
0.03564453125,
-0.08740234375,
0.0125732421875,
-0.0308837890625,
-0.00494384765625,
-0.1025390625,
0.035400390625,
-0.1181... | 13,706,761 | 13706761 | |
2.2: Fractions and Decimals
Introduction
Your local newspaper quotes a political candidate as saying, “The top half of the students are well-educated, the bottom half receive extra help, but the middle half we are leaving out ” (Neal,
2008). You stare at the sentence for a moment and then laugh. To halve something m... | 4 | [
-0.005035400390625,
0.032958984375,
0.072265625,
-0.010986328125,
0.0130615234375,
-0.06591796875,
-0.057861328125,
0.048828125,
0.0220947265625,
0.0576171875,
-0.0576171875,
-0.060302734375,
-0.00173187255859375,
0.0263671875,
0.0118408203125,
-0.00408935546875,
0.006744384765625,
... | 13,706,762 | 13706762 | |
eduction
matlab.tall.reduce
Reduce arrays by applying reduction algorithm to blocks of data
Description
tA = matlab.tall.reduce(fcn,reducefcn,tX) applies the function fcn to each block of array tX to generate partial results. Then the function applies reducefcn to the vertical concatenation of partial
results repea... | 5 | [
0.0294189453125,
0.09619140625,
0.008544921875,
-0.04248046875,
-0.041015625,
-0.0289306640625,
-0.0118408203125,
0.052734375,
-0.045166015625,
0.0107421875,
-0.045654296875,
0.07958984375,
0.08935546875,
-0.054443359375,
-0.002593994140625,
-0.02880859375,
-0.08642578125,
0.101562... | 13,706,763 | 13706763 | |
Chapter 1: Measurement and Energy Flashcards
1
Classify each of the following statements as a hypothesis, theory, or law.
A hypothesis is an educated guess, or an untested explanation, that is based upon observations or know facts. For example, if an entomologist guesses that gray moths survive better on gray tree
tr... | 4 | [
-0.04443359375,
0.0205078125,
0.0458984375,
0.04541015625,
0.11279296875,
0.00775146484375,
-0.006256103515625,
0.035888671875,
0.0213623046875,
0.12158203125,
-0.01123046875,
-0.04931640625,
-0.02978515625,
0.01275634765625,
0.00494384765625,
-0.09619140625,
-0.013427734375,
0.048... | 13,706,764 | 13706764 | |
A New Approach to Solving Periodic Differential Systems - JPS Hot Topics
A New Approach to Solving Periodic Differential Systems
2021-3-29
JPS Hot Topics 1, 026
© The Physical Society of Japan
This article is on
A remark on renormalization group theoretical perturbation in a class of ordinary differential equat... | 4 | [
-0.146484375,
-0.0537109375,
0.06982421875,
0.12451171875,
-0.01104736328125,
0.00469970703125,
-0.0140380859375,
0.016357421875,
0.0693359375,
-0.08935546875,
0.1142578125,
0.003997802734375,
0.0252685546875,
-0.0291748046875,
0.02685546875,
-0.03759765625,
-0.08642578125,
0.06298... | 13,706,765 | 13706765 | |
Cross Multiplication – Techniques & Examples
The number at the top in a fraction is known as the numerator, while the number at the bottom is known as the denominator. The numerator and denominator are separated by a slash line or division bar.
For instance, 4/5, 2/7, 1/3, 1/4, etc., are all examples of fractions. It... | 4 | [
-0.04150390625,
-0.057373046875,
-0.04296875,
-0.00567626953125,
-0.017578125,
-0.051025390625,
-0.07470703125,
0.0079345703125,
0.038330078125,
-0.00177764892578125,
0.03662109375,
-0.10107421875,
0.04638671875,
0.0625,
0.00396728515625,
0.11376953125,
-0.03759765625,
0.181640625,... | 13,706,766 | 13706766 | |
None
f(x,y,z)=(y)/(x+y+z) When differentiating with respect to y, assume x and z are constants, and use the Quotient Rule: ((u)/(v))' = (u'v-uv')/(v^(2)) to differentiate the function as a whole. f_(y)=(1
(x+y+z)-y(1))/((x+y+z)^(2))=(x+z)/((x+y+z)^(2)) -> f_(y)(2,1,-1)=(2-1)/((2+1-1)^(2))=(1)/(4) Result: f_(y)(2,1,-1)=... | 5 | [
0.019287109375,
0.043701171875,
-0.019775390625,
-0.06787109375,
-0.0115966796875,
-0.060302734375,
-0.04638671875,
-0.032470703125,
-0.0084228515625,
0.076171875,
0.046875,
-0.048583984375,
0.0166015625,
0.07470703125,
-0.057373046875,
-0.060302734375,
-0.08203125,
-0.03076171875,... | 13,706,767 | 13706767 | |
High School Mathematics Extensions/Discrete Probability - Wikibooks, open books for an open world
Introduction
Probability theory is one of the most widely applicable mathematical theories. It deals with uncertainty and teaches you how to manage it.
Please do not misunderstand: We are not learning to predict things; ... | 5 | [
0.0213623046875,
0.029296875,
0.042724609375,
0.01104736328125,
0.01324462890625,
-0.062255859375,
0.08447265625,
0.04541015625,
0.1044921875,
0.08447265625,
0.0250244140625,
-0.06787109375,
0.03857421875,
0.0595703125,
-0.0125732421875,
0.00154876708984375,
-0.04443359375,
-0.0212... | 13,706,768 | 13706768 | |
Generalized Entropy of Order Statistics
1. Introduction
Suppose
(1)
for details refer to [1].
Order statistics has been studied by statisticians for some time and has been applied to problems of statistical estimation [2], reliability analysis, image coding [3] etc. Some information theoretic
aspects of order stati... | 5 | [
-0.06298828125,
-0.00421142578125,
0.054931640625,
-0.0238037109375,
0.0028533935546875,
0.027099609375,
0.09814453125,
-0.0098876953125,
0.158203125,
0.004364013671875,
-0.0107421875,
0.08544921875,
0.08544921875,
0.0283203125,
-0.051513671875,
-0.06396484375,
-0.0306396484375,
0.... | 13,706,769 | 13706769 | |
Measurements of biodiversity
From Coastal Wiki
A variety of 'objective' measures have been developed in order to estimate biodiversity from field observations. This article discusses the most commonly used biodiversity indices.
Different types of biodiversity indices
The basic idea of a biodiversity index is to o... | 4 | [
0.0361328125,
-0.0169677734375,
0.00131988525390625,
0.0281982421875,
0.0245361328125,
0.0380859375,
-0.0184326171875,
-0.04052734375,
0.041015625,
0.0130615234375,
0.0216064453125,
-0.197265625,
-0.024658203125,
0.06396484375,
-0.083984375,
0.042724609375,
-0.0179443359375,
-0.012... | 13,706,770 | 13706770 | |
– exact real and complex numbers
ca.h – exact real and complex numbers¶
A ca_t represents a real or complex number in a form suitable for exact field arithmetic or comparison. Exceptionally, a ca_t may represent a special nonnumerical value, such as an infinity.
Introduction: numbers¶
A Calcium number is a real or ... | 4 | [
-0.08984375,
0.0203857421875,
-0.034423828125,
0.033447265625,
-0.0537109375,
-0.0546875,
0.04833984375,
0.0458984375,
0.12255859375,
-0.04931640625,
0.05126953125,
-0.062255859375,
0.0260009765625,
0.08349609375,
0.0625,
-0.107421875,
-0.11572265625,
0.017822265625,
-0.041748046... | 13,706,771 | 13706771 | |
uses XLPack; procedure test_dgesv; const n = 3; lda = n; ldb = n; a: array[1..n*n] of Double = (0.2, -0.32, -0.8, -0.11, 0.81, -0.92, -0.93, 0.37, -0.29); b: array[1..n] of Double = (-0.3727, 0.4319,
-1.4247); var ipiv: array[1..n] of Integer; info: Integer; begin Dgesv(n, lda, a, ipiv, ldb, b, info); Writeln('x ='); ... | 5 | [
-0.0174560546875,
0.032470703125,
-0.032470703125,
-0.103515625,
-0.06884765625,
-0.107421875,
-0.01123046875,
0.07421875,
0.02978515625,
-0.001678466796875,
0.00860595703125,
-0.0169677734375,
-0.003326416015625,
-0.0732421875,
0.00946044921875,
0.0279541015625,
-0.0458984375,
-0.... | 13,706,772 | 13706772 | |
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number n of outcome values are equally likely to be
observed. Thus every one of the n outcome values has equal probability 1/n. Intuitively, a discrete uniform distribution ... | 4 | [
-0.05224609375,
0.0216064453125,
0.0191650390625,
-0.06640625,
-0.0595703125,
-0.0634765625,
0.049072265625,
-0.0576171875,
0.07421875,
0.10791015625,
-0.035400390625,
-0.055908203125,
0.054443359375,
0.0003509521484375,
-0.01446533203125,
-0.10107421875,
0.08447265625,
-0.05029296... | 13,706,773 | 13706773 | |
Solving Exponential Equations with Logarithms
Most exponential equations do not solve neatly; there will be no way to convert the bases to being the same, such as the conversion of 4 and 8 into powers of 2. In solving these more-complicated
equations, you will have to use logarithms.
Taking logarithms will allow us to... | 4 | [
0.0037841796875,
0.02880859375,
-0.0302734375,
0.01806640625,
-0.0169677734375,
-0.12890625,
-0.00714111328125,
0.0213623046875,
0.045654296875,
0.10009765625,
0.039794921875,
-0.078125,
0.0230712890625,
0.10107421875,
0.09765625,
0.06982421875,
-0.1484375,
0.134765625,
-0.086425... | 13,706,774 | 13706774 | |
Shuffle a given array
Hello Everyone,
Given an array, write a program to generate a random permutation of array elements. This question is also asked as “shuffle a deck of cards” or “randomize a given array”. Here shuffle means that
every permutation of array element should equally likely.
Let the given array be arr[... | 5 | [
-0.02685546875,
-0.00518798828125,
-0.0247802734375,
-0.0216064453125,
-0.00177001953125,
-0.1171875,
0.09814453125,
-0.099609375,
0.0255126953125,
-0.03173828125,
-0.08203125,
0.083984375,
-0.00567626953125,
-0.04248046875,
-0.06396484375,
0.032958984375,
-0.0030364990234375,
-0.0... | 13,706,775 | 13706775 | |
Finding the curvature of the Earth
With the help of a simulation, I show, up to what altitudes the earth appears flat, although it actually has a spherical shape. Using some animations, you can learn how to recognize the curvature of
the earth, or in what circumstances it appears flat. The simulation can also simulate ... | 4 | [
-0.06591796875,
0.00042724609375,
0.008544921875,
-0.06640625,
0.039306640625,
-0.0498046875,
-0.035400390625,
0.0830078125,
0.004150390625,
0.0031890869140625,
-0.0036773681640625,
-0.035400390625,
-0.050048828125,
0.043212890625,
-0.01214599609375,
-0.0242919921875,
-0.03759765625,... | 13,706,776 | 13706776 | |
— Statistic Descriptions
The following a brief discussion of statistics found in the Explore routines. Confidence intervals are also available for the Mean, Standard Deviation, and Variance.
Included on this page are:
Measures of Location
Mean
The mean is also known as the average, calculated as follows.
Median
... | 4 | [
-0.0036468505859375,
0.0057373046875,
0.000179290771484375,
-0.0179443359375,
-0.06005859375,
-0.0234375,
-0.07080078125,
0.150390625,
-0.004180908203125,
0.03564453125,
-0.01092529296875,
-0.0267333984375,
0.146484375,
-0.0849609375,
-0.0240478515625,
0.01092529296875,
0.07958984375... | 13,706,777 | 13706777 | |
RLC Circuits in context of sequence current
07 Sep 2024
Title: Analysis of Sequence Currents in RLC Circuits: A Theoretical Framework
Abstract:
This article presents a comprehensive analysis of sequence currents in RLC (Resistor-Inductor-Capacitor) circuits, focusing on the theoretical framework that governs their... | 4 | [
-0.1533203125,
0.002044677734375,
0.0029296875,
0.031982421875,
-0.01025390625,
0.0517578125,
-0.04541015625,
-0.0106201171875,
0.08544921875,
-0.0211181640625,
-0.0167236328125,
-0.023681640625,
0.00604248046875,
-0.01348876953125,
-0.0029449462890625,
0.04931640625,
-0.080078125,
... | 13,706,778 | 13706778 | |
Understanding Mathematical Functions: How To Get A Function From A Tab
Understanding Mathematical Functions: How to Get a Function from a Table
Mathematical functions play a critical role in various fields such as engineering, science, economics, and many others. They provide a structured way to represent relations... | 4 | [
-0.05126953125,
-0.00830078125,
-0.046142578125,
-0.029052734375,
-0.060546875,
-0.0439453125,
-0.01251220703125,
0.05322265625,
0.042236328125,
0.0108642578125,
-0.00191497802734375,
-0.00732421875,
0.07080078125,
0.039306640625,
-0.0279541015625,
0.0181884765625,
-0.13671875,
0.0... | 13,706,779 | 13706779 | |
One to one function - Explanation & Examples
One to One Function – Explanation & Examples
one to one functions special? This article will help you learn about their properties and appreciate these functions. Let’s start with this quick definition of one to one functions:
One to one functions are functions that return... | 4 | [
-0.0751953125,
-0.055908203125,
0.000888824462890625,
0.0027618408203125,
-0.0277099609375,
-0.025634765625,
0.051025390625,
-0.011962890625,
0.0849609375,
-0.0198974609375,
-0.0279541015625,
-0.045654296875,
0.0230712890625,
-0.001983642578125,
0.051513671875,
-0.0277099609375,
-0.0... | 13,706,780 | 13706780 | |
Analogmachine Blog
There is an excellent description of the difference between logarithmic and linear scales in the book "Mathematical Analysis for Economists" by R Allen which I describe here.
Consider the following two sequences of numbers:
[latexpage]
100, 150, 200, 250, 300, $\ldots$
100, 150, 225, 337.5, 506.25,... | 4 | [
-0.0986328125,
-0.036376953125,
-0.037841796875,
-0.04150390625,
0.04541015625,
-0.0126953125,
-0.017333984375,
0.0220947265625,
0.09228515625,
-0.00579833984375,
0.0517578125,
0.0072021484375,
0.02392578125,
0.056396484375,
0.014404296875,
-0.054931640625,
-0.059814453125,
0.02746... | 13,706,781 | 13706781 | |
Jacobian of
singerjac
Jacobian of state transition function based on Singer acceleration motion model
Since R2020b
Description
jacobian = singerjac(state) returns the Jacobian of the state transition function, jacobian, based on the Singer motion model, which assumes the target acceleration decays over time. The d... | 4 | [
-0.0751953125,
-0.05712890625,
0.030029296875,
-0.04248046875,
-0.0106201171875,
0.01287841796875,
-0.01165771484375,
0.0220947265625,
-0.03466796875,
0.0267333984375,
0.0400390625,
-0.004150390625,
0.017822265625,
-0.0284423828125,
-0.024658203125,
0.06689453125,
-0.07568359375,
0... | 13,706,782 | 13706782 | |
22.4 Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field
171 22.4 Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field
Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field
• Describe the effects of magnetic fields on moving charges.
• Use the right hand rule 1 t... | 5 | [
0.0294189453125,
-0.051513671875,
-0.051025390625,
-0.07958984375,
0.1044921875,
0.01251220703125,
0.01611328125,
-0.01806640625,
-0.059326171875,
-0.0169677734375,
-0.00494384765625,
0.00147247314453125,
0.031494140625,
0.01495361328125,
-0.06103515625,
0.0201416015625,
-0.086425781... | 13,706,783 | 13706783 | |
Fundamentals Of Statistics For Information Scientists and Analysts
Picture by Editor
As Karl Pearson, a British mathematicia... | 5 | [
0.030517578125,
-0.00927734375,
-0.032470703125,
0.060302734375,
-0.044677734375,
0.00142669677734375,
0.057861328125,
0.08447265625,
0.08837890625,
0.0849609375,
-0.031982421875,
0.00927734375,
0.06201171875,
0.017822265625,
-0.0289306640625,
0.0201416015625,
-0.054443359375,
-0.0... | 13,706,784 | 13706784 | |
How many different (eight letter) words can be formed out of the letters of the word DAUGHTER so that
Hint: Here in the given question we are asked to find the number of words formed by the given word DAUGHTER can be arranged under a given condition. To solve this problem we use the concept of the
permutation. A permut... | 4 | [
0.0230712890625,
-0.0693359375,
0.03955078125,
-0.035888671875,
-0.0703125,
0.04150390625,
0.0625,
0.0059814453125,
0.01068115234375,
0.1298828125,
0.037841796875,
0.0308837890625,
0.09912109375,
-0.0113525390625,
-0.05615234375,
0.05908203125,
-0.010986328125,
-0.0213623046875,
... | 13,706,785 | 13706785 | |
Some Chaos Notions on Dendrites
Center of Modelling and Data Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Malaysia
^*
Author to whom correspondence should be addressed.
Submission received: 15 September 2019 / Revised: 5 October 2019 / Accepted: 8 October 2019 / Publishe... | 4 | [
-0.03125,
-0.0888671875,
0.042236328125,
-0.059326171875,
-0.08154296875,
0.01287841796875,
0.056640625,
-0.036865234375,
0.053955078125,
-0.0791015625,
-0.0079345703125,
-0.0576171875,
0.0206298828125,
-0.032958984375,
0.005828857421875,
-0.01165771484375,
-0.00970458984375,
-0.01... | 13,706,786 | 13706786 | |
Let X be the number of 1’s and Y the number of 2’s that occur in n rolls of a fair die. Compute Cov(X, Y).
jernplate8
Answered question
2021-08-15
Let X be the number of 1’s and Y the number of 2’s that occur in n rolls of a fair die. Compute Cov(X, Y).
Answer & Explanation
Define ${X}_{i}$to be indicator random... | 5 | [
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Oculus Rift Drift - WorldViz User Forum - Virtual Reality Software
Kalman Filter for Euler Angles and Position data
I had to implement my own filter, Nexus does not have options for a real time filter (although we use 7 markers on the HMD, Nexus 2 in kinematic fit mode will use all available markers on the segment
to ... | 4 | [
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29.7 Probability: The Heisenberg Uncertainty Principle
236 29.7 Probability: The Heisenberg Uncertainty Principle
Summary
• Use both versions of Heisenberg’s uncertainty principle in calculations.
• Explain the implications of Heisenberg’s uncertainty principle for measurements.
Probability Distribution
Matter ... | 5 | [
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Min Max Normalization in data mining | T4Tutorials.com
Min Max Normalization in data mining
Min Max is a data normalization technique like Z score, decimal scaling, and normalization with standard deviation. It helps to normalize the data. It will scale the data between 0 and 1. This
normalization helps us to understa... | 4 | [
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A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows:
A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: ₹ 200 for the first day, ₹ 250 for the second day, ₹ 300 for the third day, etc., the
penalty for eac... | 4 | [
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capacitors lab - Homework Prime
Description
The Notebook Paper Capacitor
Objectives
• To measure the capacitance of a parallel plate capacitor made out of sheets of
aluminum foil and plain white paper.
• To measure capacitance in series and parallel and see if it behaves as expected.
• To see if the relationship of ... | 4 | [
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Using Trigonometry to Solve Right-Angled Triangles with Angles in Degrees
Question Video: Using Trigonometry to Solve Right-Angled Triangles with Angles in Degrees Mathematics • Third Year of Preparatory School
𝐴𝐵𝐶 is a right-angled triangle at 𝐵 where 𝑚∠𝐶 = 62° and 𝐴𝐶 = 17 cm. Find the lengths of 𝐴𝐵 and 𝐵�... | 4 | [
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Nonlinear eigenvalue problems with positively convex operators
Abstract
We consider the equation u = λAu (λ > 0), where A is a forced isotone positively convex operator in a partially ordered normed space with a complete positive cone K. Let Λ be the set of positive λ
for which the equation has a solution u ε{lunate} ... | 4 | [
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10. Step 10: Discount benefits and costs, calculate summary results
Steps
10.1 Choose a discount rate.
10.2 Assemble benefits and costs by time period.
10.3 Calculate the NPV.
10.4 Calculate the BCR.
10.5 Calculate the NPVI (if required).
10.6 Calculate the incremental BCR (if applicable).
10.7 Calculate the in... | 4 | [
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Trend - Language - Julia - Part One
Preface
Goal: Explore Julia statistic plot visualization. Providing the data using linear model.
Julia is a very interesting language. Unfortunately, I don’t have enough Julia knowledge to review. I haven’t learn the fundamental part. I have no right to talk about it yet. Howev... | 4 | [
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Energy and Power En gi neering, 2011, 3, 616-624
doi:10.4236/epe.2011.35077 Published Online November 2011 (http://www.SciRP.org/journal/epe)
Copyright © 2011 SciRes. EPE
Joint RANS/LES Modeling of Flameless Combustion
Vladimir L. Zimont, Valerio Battaglia
CRS4, Science and Technology Park Polaris, Pula, Italy
E... | 4 | [
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Mixed Aptitude Quiz - 8 : For IBPS PO Pre Exam 2016
Ques 1.
Ques 2.
Two equal bottles are filled with water and milk. The amount of water in each container is 20% and 30%. What is the ratio of milk in both the bottles respectively ?
Solution :
1st Bottle Contains 80% of milk and 20% water
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Find the area between the curves y=sinx and y=cosx on [0,2π].
Find the area between the curves y=sinx and y=cosx on [0,2π].
Find the area between the curves y=sinx and y=cosx on [0,2π].
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contact us directly to get an explanation for this answer
Solving the equations of ... | 5 | [
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