content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Where CFt denotes the cash flow during the period, n is the total number of periods, t denotes the currently active period, and I represent the discount rate of Eqtec Plc(Dikov, 2020).
4.2 Case 2: Constant Cash Flow
The following is an example of a basic finite geometric series that may be used to express the formul... | 5 | [
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A361365 - OEIS
COMMENTS
Imagine a safe combination lock that has two independently rotating concentric number dials. The simplest model has just n = 1 number on each of its dials and one alignment position for those two
numbers on them, allowing a single possible setting. But on the more advanced models there are n = ... | 4 | [
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Oseen's Correction to Stokes Drag in the Perspective of Newtonian and Micro-polar Fluid: A Technical Note
Abstract
A technical note on Oseen's correction to Stokes drag on axially symmetric body is written. The previous published work of author [1,2] [Srivastava and Srivastava (2017)] has been utilized for the
purpos... | 4 | [
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Dynamic analysis of soil-structure interaction effects on NPP building using simplified and solid FE model of layered subsoil
Abstract
This paper describes the soil-structure interaction (SSI) effects to the Nuclear Power Plant (NPP) structure with reactor VVER-1200/491 PWR. The simplified 1D and numerical 3D FE model... | 4 | [
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Cooperative Control for Multiple Autonomous Vehicles Using Descriptor Functions
^1
YANMAR R&D Europe, Florence 55100, Italy
^2
Department of Information Engineering, University of Pisa, Pisa 56122, Italy
^*
Author to whom correspondence should be addressed.
Submission received: 24 October 2013 / Revised: 13 Dece... | 4 | [
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Integral matrices and lattices
25 Integral matrices and lattices
25.1 Linear equations over the integers and Integral Matrices
25.1-1 NullspaceIntMat
‣ NullspaceIntMat( mat ) ( attribute )
If mat is a matrix with integral entries, this function returns a list of vectors that forms a basis of the integral nullspace... | 5 | [
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The Maximum Entropy Principle – The distribution with the maximum entropy is the distribution nature chooses
In a previous article entropy was defined as the expected number of bits in a binary number required to enumerate all the outcomes. This was expressed as follows:
entropy= H(x)=
In physics ( nature ) it is fou... | 5 | [
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operating speed of ball mill must be less than
•
Mill Type: 15 inch diameter by 21 inches long, 304 stainless steel batch ball mill. Total Mill Volume: Gallons Mill Operating Speed: 51 RPM Mill Ball Charge: 250 pounds of chrome steel grinding
balls (Not Included with Mill) FOUNDATION The mill foundation mu... | 4 | [
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Numerical Analysis | Essay Heroes
Numerical Analysis
Problem. Frequency power spectrum
Consider the following nonlinear 3rd-order system:
dx1
dt
= −(x2 + x3),
dx2
dt
= x1 +
1
5
x2,
dx3
dt
=
1
5
+ (x1 − ϵ)x3.
This equation is called the R¨ossler’s equation, and it has been applied to study chemical reac... | 4 | [
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Volumes by Slicing – Disk Method
Ryan and I began this summer by reviewing problems from Calculus II in James Stewart’s Essential Calculus Second Edition. I started by looking at Section 7.2, Volumes by Slicing. In Section 7.2 the
first method introduced is the disk method. Here a volume is approximated by very thin c... | 4 | [
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Vorticity – Stream Function Formulation for Axisymmetric Flow
Few weeks ago, a Reddit user xieta posted really neat results of flow past a cylinder to /r/CFD. These results were computed using the vorticity – stream function method. My background in CFD is
quite limited, and to be honest, this was the first time I’... | 4 | [
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Deep reinforcement learning for data-driven adaptive scanning in ptychography - QuickNT Learn
Deep reinforcement learning for data-driven adaptive scanning in ptychography
Image formation in ptychography
The approach described in this paper is compatible with multisclice ptychography, but in light of the application ... | 4 | [
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Why Twelve? - Robert Kennedy Music
Modern Western musicians live and work mainly with a twelve-note chromatic equal-tempered scale. As you can read in ample resources elsewhere on the web, equal temperament is a tuning compromise that
lets fixed-pitch instruments play in every key without sounding more out of tune in a... | 4 | [
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ear
51 research outputs found
Quadratic form reduction and lattice reduction are fundamental tools in computational number theory and in computer science, especially in cryptography. The celebrated Lenstra-Lenstra-Lov\'asz
reduction algorithm (so-called LLL) has been improved in many ways through the past decades a... | 4 | [
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Samacheer Kalvi 12th Business Maths Solutions Chapter 3 Integral Calculus II Miscellaneous Problems
Students can download 12th Business Maths Chapter 3 Integral Calculus II Miscellaneous Problems and Answers, Samacheer Kalvi 12th Business Maths Book Solutions Guide Pdf helps you to revise the
complete Tamilnadu State... | 4 | [
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Interval Notation - Definition, Examples, Types of Intervals - Grade Potential Columbus, OH
Interval Notation - Definition, Examples, Types of Intervals
Interval Notation - Definition, Examples, Types of Intervals
Interval notation is a crucial topic that students are required understand because it becomes more essen... | 4 | [
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Maths Fun
If you watched the video of Randall Munroe at Google you might have heard him mention a site called Project Euler. It’s a cool collection of short but interesting mathematical problems that are
intended to be solved with a computer. That said, there’s nothing stopping you from using good old practical mathem... | 4 | [
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The Greatest Common Factor
Learning Outcomes
• Identify the greatest common factor of a polynomial
Factors are the building blocks of multiplication. They are the numbers that you can multiply together to produce another number: [latex]2[/latex] and [latex]10[/latex] are factors of [latex]20[/
latex], as are [latex... | 4 | [
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Neural Network Demystified Part lll – Gradient Descent and Backpropagation
This post is the third and last part of the series Neural Network Demystified. If you haven’t read the first two parts please check Neural Network Demystified Part l – Building Blocks and Activation
Functions and Neural Network Demystified Par... | 4 | [
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Mod-01 Lec-43 Lecture-43-Frequency Domain Interpretation of LQR Controlled System
Overview
Contents:
An overview of optimization problem, some examples of optimum design problem - Concepts and terms related to optimization problem, necessary and sufficient conditions for a multivariable function.
Effects of scaling o... | 4 | [
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Home Thermodynamics Thermodynamic processes in closed systems Isentropic (“adiabatic”) process in a closed system
Isentropic (“adiabatic”) process in a closed system
An isentropic process is a reversible process of an adiabatic system.
Definition
Whereas in an isochoric process no pressure-volume work is done by t... | 4 | [
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The Stacks project
Proposition 36.17.1. Let $X$ be a quasi-compact and quasi-separated scheme. An object of $D_\mathit{QCoh}(\mathcal{O}_ X)$ is compact if and only if it is perfect.
Proof. If $K$ is a perfect object of $D(\mathcal{O}_ X)$ with dual $K^\vee $ (Cohomology, Lemma 20.50.5) we have
\[ \mathop{\mathrm{Hom... | 5 | [
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Combining sets with a matrix
Combining sets with a matrix
Hello, I hope everyone is doing fine. I try to do some combinations of sets, but I have no clue how. If anyone can point me in any direction, it will be great. Here is the problem:
M = FiniteEnumeratedSet({1, 2})
P1 = cartesian_product([M]*2)
P1 = P.list()
P2... | 5 | [
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None
If 1/x f(-x) + f(1/x) = x then this applies both when x = -n and when x = 1/n:
-1/n f(n) + f(-1/n) = -n and
n f(-1/n) + f(n) = 1/n
Multiply the top equation by -n, and swap the order of the terms in the second:
f(n) - nf(-1/n) = n^2
f(n) + nf(1/n) = 1/n
Now add the two:
2f(n) = n^2 + 1/n
f(n) = (n^2 +... | 4 | [
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None
**Introduction** Ballistics is the study of the motion of projectiles under the influence of gravity and air resistance - a complex phenomenon with far-reaching implications in various industries,
including military, aerospace, and sports. The importance of understanding ballistics cannot be overstated: in these ... | 4 | [
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Attributable fraction using a latent class model
By John Aponte and Orvalho Augusto.
Introduction
In malaria endemic areas, asymptomatic carriage of malaria parasites occurs frequently and the detection of malaria parasites in blood films from a febrile individual does not necessarily indicate
clinical malaria.
A c... | 4 | [
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How do you write the standard form of a line parallel to y-3x=2 and passing through (2,-4)? | Socratic
How do you write the standard form of a line parallel to y-3x=2 and passing through (2,-4)?
1 Answer
Explanation:
A line parallel to $a x + b y + c = 0$ is of the type $a x + b y + k = 0$
As $y - 3 x = 2$ is $- 3 ... | 4 | [
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Concepts for varying flow rate in geothermal earth loops
The geothermal heat pump market has changed quite a bit since its early commercialization in the 1980s. Back then, all geothermal earth loops operated with fixed-speed circulators. Those circulators
were typically sized to ensure that the flow through the earth l... | 5 | [
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How do you simplify (sqrt12 - sqrt2)(sqrt12 + sqrt2)? | Socratic
How do you simplify #(sqrt12 - sqrt2)(sqrt12 + sqrt2)#?
2 Answers
$\left(\sqrt{12} - \sqrt{2}\right) \left(\sqrt{12} + \sqrt{2}\right) = 10$
Explanation:
To simplify $\left(\sqrt{12} - \sqrt{2}\right) \left(\sqrt{12} + \sqrt{2}\right)$, we use the dif... | 4 | [
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0.0252685546875,
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0.05517578125,
0.023193359375,
-0.023681640625,
0.032958984375,
0.158203125,
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0.054443359375,
0.04345703125,
0.01312255859375,
-0.0164794921875,
... | 13,698,428 | 13698428 | |
Projectile Motion with No Air Resistance
Projectile Motion with No Air Resistance
•
• Thread starter 1irishman
• Start date
In summary, the object is thrown horizontally from the top of a cliff at a velocity of 20 m/s. If it takes 4.20s to reach the ground, the range of the object is 84 m.
Homework Statement... | 4 | [
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0.01904... | 13,698,429 | 13698429 | |
How to Find Maximum Profit (Profit Maximization)
Calculus Problem Solving > > How to find maximum profit
How to Find Maximum Profit: Contents:
To maximize a function means to find its maximum value in a given range of values.
How to Find Maximum Profit: Overview of Maximization
There are two ways to find maximum... | 5 | [
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0.03515... | 13,698,430 | 13698430 | |
Section 3.4
Section 3.4, Infinite Limites
Motivation: #
We’ve already seen $\displaystyle \lim_{x\to \infty} \frac1x = 0$. Also, since those $x$ values are positive, we’re approaching 0 from above.
On a similar note, $\displaystyle \lim_{x\to -\infty} \frac1x = 0$ as well. And since those $x$ values are negative, we... | 4 | [
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... | 13,698,431 | 13698431 | |
Ex 4.1
Question 1.
The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
(Take the cost of a notebook to be x and that of a pen to be y)
Solution:
Let the cost of a notebook = Rs. x
and the cost of a pen = Rs. y
According to the condition, we have... | 4 | [
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Direct methods for sparse matrix solution
From Scholarpedia
Iain Duff and Bora Uçar (2013), Scholarpedia, 8(10):9700. doi:10.4249/scholarpedia.9700 revision #153309 [link to/cite this article]
Direct methods for sparse matrix solutions are characterized by using a matrix factorization to solve a set of equations of... | 5 | [
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... | 13,698,433 | 13698433 | |
AbstractIntroductionDerivationEvaluationConclusionsCode availabilityCompeting interestsDisclaimerAcknowledgementsFinancial supportReview statementReferences
ACP Atmospheric Chemistry and Physics ACPAtmos. Chem. Phys. 1680-7324 Copernicus Publications Göttingen, Germany 10.5194/acp-22-9011-2022Technical note: Entrainmen... | 4 | [
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Physics:Turbulence
Short description: Motion characterized by chaotic changes in pressure and flow velocity
In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in
parallel la... | 4 | [
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Science:Math Exam Resources/Courses/MATH104/December 2014/Question 03 (c)
MATH104 December 2014
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q1 (h) • Q1 (i) • Q1 (j) • Q1 (k) • Q1 (l) • Q1 (m) • Q1 (n) • Q2 • Q3 (a) • Q3 (b) • Q3 (c) • Q4 • Q5 (a) • Q5 (b) • Q5 (c) • Q5 (d)
• Q5 (e) • Q5 (f) • Q6 ... | 5 | [
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What Is an Interest Rate?
The simplest way to think of an interest rate is the amount that someone will charge you for borrowing a sum of money. So for instance if you borrow $100 and they want it back with an extra $10 then
they have charged you 10% interest; or have they? There are actually many different ways to c... | 4 | [
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Integrated Knowledge Solutions
(Originally published on August 21, 2018)
Any machine learning model building task begins with a collection of data vectors wherein each vector consists of a fixed number of components. These components represent the measurements, known as
attributes or features, deemed useful for the g... | 5 | [
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ARTS-Week7
27 Dec 2018
ARTS-Week7
ARTS weekly
[ ARTS leadership DP backtrace PKI rsync ]
Algorithm
Problem
[22] Generate Parentheses
Given n pairs of parentheses, write a function to generate all combinations of well-formed parentheses.
For example, given n = 3, a solution set is:
[
"((()))",
"(()())",
"... | 5 | [
-0.06591796875,
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0.01055908203125,
0.0830078125,
-0.06884765625,
0... | 13,698,439 | 13698439 | |
One Sample Mean
┌────────────────────────┬┬────────┐
│ Input ││Results │
├───────────────────────┬┼┼───────┬┤
│ α │││ ││
├───────────────────────┼┼┼───────┼┤
│ β │││ N ││
├───────────────────────┼┼┼───────┼┤
│Allowable difference[] │││ ││
├───────... | 5 | [
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0.0299072265625... | 13,698,440 | 13698440 | |
Sharp EL-5510
Datasheet legend Years of production: Display type: Alphanumeric display
New price: Display color: Bl... | 5 | [
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0.009643554... | 13,698,441 | 13698441 | |
How do you derive the MGF of a Poisson distribution?
How do you derive the MGF of a Poisson distribution?
Let X be a discrete random variable with a Poisson distribution with parameter λ for some λ∈R>0. Then the moment generating function MX of X is given by: MX(t)=eλ(et−1)
How do you find MGF?
The moment generatin... | 4 | [
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0.002349853515625... | 13,698,442 | 13698442 | |
Hello fellows, I hope all of you are fine. In today’s tutorial, we are gonna have a look at A Simple Loop in Uniform Magnetic Field. There are 2 foremost classes of the alternating current machines,
i^st is the alternating current motor and 2^nd is an alternating current generator. Motor alters electrical energy into... | 4 | [
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Practice Problems (Introduction to Probability Theory)
A few practice problems related to Probability theory are given here. These problems are adapted from the textbook: Probability and Random Processes by Scott Miller 2nd Edition.
These problems cover the following topics:
1. Experiments, Sample spaces, events,
... | 5 | [
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0.0003299713... | 13,698,444 | 13698444 | |
rre
We will assume that the transit paths across the Sun are parallel to the ecliptic, and we will only use the projection of PP' perpendicular to the ecliptic.
The Earth's Orbit
We now need to introduce distances in the solar system as measured in astronomical units. The mean Sun-Earth distance is 1 AU, but it varie... | 4 | [
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-0.0087890625,
-0.0137... | 13,698,445 | 13698445 | |
Deviation Method for Weighted Averages | Arithmetic | ANA Prep
We know we can use the deviation method to find the arithmetic mean of numbers. It is very useful in cases where the numbers are huge, as it considerably brings down the calculation time.
The same method can be applied to weighted averages, as well. Let’s ... | 4 | [
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0.... | 13,698,446 | 13698446 | |
The blocks shown in the figure have equal masses The class 11 physics JEE_Main
Hint: In the question, velocity of the first object and the friction coefficient of A and B is given. By substituting the values in the equation of the distance and relating the equation of mass and
velocity, we get the value of the distance... | 4 | [
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0.06542... | 13,698,447 | 13698447 | |
(6+2i)(6-2i)-(3-4i)(3+4i)
Simplifying Complex Expressions: (6+2i)(6-2i)-(3-4i)(3+4i)
This article will demonstrate how to simplify the complex expression (6+2i)(6-2i)-(3-4i)(3+4i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers and i... | 4 | [
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... | 13,698,448 | 13698448 | |
Random Walks are Almost Closed
or
Loop Closure is Surprisingly Non-Destructive
Clayton Shonkwiler
Colorado State University
04.21.18
Modern polymer physics is based on the analogy between a polymer chain and a random walk.
Protonated P2VP
Roiter/Minko
Clarkson University
Plasmid DNA
Alonso–Sarduy, Dietler La... | 4 | [
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0.00421142578... | 13,698,449 | 13698449 | |
Superposition according to Russian SP 20.13330.2016: Loads and Actions
Superposition according to Russian SP 20.13330.2016: Loads and Actions#
Introduction#
This document provides a short introduction in the use of the program MAXIMA for combinations according to the Russian code SP 20.13330.2016: Loads and Actions
... | 4 | [
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-0.05126953125,
-0.081... | 13,698,450 | 13698450 | |
Relativistic Mirrors
Andrew York
There's something strange about the way mirrors reflect, if they are moving really fast. The angle of reflection is not what we were taught, when observed from another frame of reference. So say the
equations. In fact, it happens anytime a mirror is in motion, but only becomes apparen... | 5 | [
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-0.01214599609375,
0.00225830078125,
-0.032470703125,
0.1005859375... | 13,698,451 | 13698451 | |
Collision theory is a principle of chemistry used to predict the rates of chemical reactions. It states that when suitable particles of the reactant hit each other with the correct orientation, only
a certain amount of collisions result in a perceptible or notable change; these successful changes are called successful... | 4 | [
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... | 13,698,452 | 13698452 | |
mlsl: Multi-level Single-linkage in nloptr: R Interface to NLopt
The “Multi-Level Single-Linkage” (MLSL) algorithm for global optimization searches by a sequence of local optimizations from random starting points. A modification of MLSL is included using a
low-discrepancy sequence (LDS) instead of pseudorandom numbers.... | 4 | [
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0.038330078125,
-0.047119140625,
-0... | 13,698,453 | 13698453 | |
Relational algebra
3.2. Relational algebra¶
In the last chapter, we introduced the relational model of the database, and defined the fundamental mathematical object in the model, the relation. In this chapter, we discuss relational algebra,
which is the set of algebraic operations that can be performed on relations. R... | 5 | [
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0.0196533203125,
0.06... | 13,698,454 | 13698454 | |
The MOLE Mole The mole is a word
Download presentation
? Mole The mole is a word that means a very specific number. We know about the word “dozen” it means 12 items. The mole means 6. 0221367 x 1023 particles. we just round it to 6. 022 x 1023.
If we have a mole of anything we have 6. 022 x 1023 of them. That’s a lo... | 4 | [
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-0.03466796875,
-0.0303955078125,
-0.036865234375,
-0.0380859375,
0.01489... | 13,698,455 | 13698455 | |
1.1 Characteristics Table | Sentinel Routine Querying Reporting Tool
1.1 Characteristics Table
Characteristics Table output by the QRP Reporting Tool is highly customizable. Using parameters in Baseline File, users can specify what will be included and the way in which it will be displayed in
the final output file.
... | 4 | [
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0.0517578125,
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-0.0001163482666015625,
-0.047607421875,
-0.0201416015625,
-0.0527343... | 13,698,456 | 13698456 | |
Sparse Arrays
Julia has support for sparse vectors and sparse matrices in the SparseArrays stdlib module. Sparse arrays are arrays that contain enough zeros that storing them in a special data structure leads to
savings in space and execution time, compared to dense arrays.
In Julia, sparse matrices are stored in the ... | 5 | [
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13.3 Bohr’s Theory of the Hydrogen Atom
Learning Objectives
Learning Objectives
By the end of this section, you will be able to do the following:
• Describe the mysteries of atomic spectra
• Explain Bohr’s theory of the hydrogen atom
• Explain Bohr’s planetary model of the atom
• Illustrate the energy state ... | 5 | [
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MR 1. Estimating Market Risk Measures: An Introduction And Overview
VaR Revisited
• VaR is defined as the maximum dollar (or percentage) amount expected to be lost over a given time horizon, at a pre-defined confidence level. For example, if the 95% one-month VAR is $1 million,
there is 95% confidence that over ... | 4 | [
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Solving real-world optimisation problems - a crash course with PuLP | Shedload Of Code
Back
Solving real-world optimisation problems - a crash course with PuLP
February 10, 2024 10 minute read
Source: Pexels
Some of the links in this article are affiliate links. This means if you click on the link and purchase or ... | 5 | [
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Angles in Three Squares
Drawing the right diagram can help you to prove a result about the angles in a line of squares.
Problem
The picture below shows three squares.
Surprisingly, $c = a + b$.
Can you prove it?
Once you've had a chance to think about how to prove it, click to reveal the diagram below.
Can you... | 4 | [
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NCERT Solutions class 10 maths chapter 10
Circles
NCERT Solutions class 10 maths chapter 10 Exercise 10.1
Question 1
How many tangents can a circle have?
Answer:
There can be infinit tangents to a circle.
Question 2
Fill in the blanks:
(i) A tangent to a circle intersects it in …………… point(s).
(ii) A line in... | 4 | [
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Flow in a Porous Medium;
Oceanography 540--Marine Geological Processes--Winter Quarter 2001
Flow in a Porous Medium; Model for Crustal Porous Flow
Flow in a porous medium is described by Darcy's Law which relates the movement of fluid to the pressure ... | 4 | [
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concert hall simulation
This simulation attempts to recreate the distribution of sound in square concert halls. The set-up is seen in the figure below, where the radii are calculate through geometry
The radii come out to be
$$\begin{aligned} r_1 &= d_1 \sqrt{\left(\frac{y}{2d_1-x}\right)^2 + 1} \\ r_3 &= d_3 \sqrt{\l... | 4 | [
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Sol
ode23
Solve nonstiff differential equations — low order method
Description
[t,y] = ode23(odefun,tspan,y0), where tspan = [t0 tf], integrates the system of differential equations $y"=f\left(t,y\right)$ from t0 to tf with initial conditions y0. Each row in the solution array
y corresponds to a value returned in c... | 5 | [
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Simple Interest Problems
Solution:
Use the familiar formula from business: Principle × Rate × Time = Interest
In particular, for these problems, since time = 1 year, Principle × Rate = Interest
Identify the variable: Let x = Principle invested at 6% (0.06)
x + 3000 = Principle invested at 9% (0.09)
Principle × R... | 4 | [
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MinkowskiSum · LazySets.jl
MinkowskiSum{N, S1<:LazySet{N}, S2<:LazySet{N}} <: LazySet{N}
Type that represents the Minkowski sum of two sets, i.e., the set
$$\[X ⊕ Y = \{x + y : x ∈ X, y ∈ Y\}.\]$$
Fields
Notes
The ZeroSet is the neutral element and the EmptySet is the absorbing element for MinkowskiSum.
The Minko... | 4 | [
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chap_LBC.tex
Last change on this file since 14113 was 14113, checked in by nicolasmartin, 4 years ago
#2414 Reintegration to the trunk, LaTeX manuals are compiling ;-)
File size: 42.1 KB
Line
1 \documentclass[../main/... | 4 | [
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The Gaseous State: Ideal and Real gases
The following physical characteristics define the gaseous state:
• Gases have a high compressibility.
• Gases apply pressure in all directions equally.
• Compared to solids and liquids, gases are significantly less dense.
• The volume and shape of gases are not constan... | 4 | [
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Permutation: What Is It and How to Calculate It? (Tutorial) - Gidihow
Permutation: What Is It and How to Calculate It? (Tutorial)
Permutation: What Is It and How to Calculate It? (Tutorial) – A permutation is a mathematical term that describes the number of ways things can be ordered or arranged. With it, the order of... | 4 | [
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Finding the Sum of Two Complex Numbers Represented on an Argand Diagram
Question Video: Finding the Sum of Two Complex Numbers Represented on an Argand Diagram Mathematics • Third Year of Secondary School
Using the Argand diagram shown, find the value of 𝑧₁ + 𝑧₂.
Video Transcript
Using the Argand diagram shown, fi... | 4 | [
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The Problem of the Week Day 4: Week of 7/17 - 7/23
We have completed our sequences! For the easy one, we will just be using n and b, and the hard one only requires your equation. For the hard problem, the equation should be quadratic, or you made a
mistake. If it is linear, go over Tuesday's work and find your mistake.... | 4 | [
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Let f and g be two real-valued functions such that f(x+y) + f(x-y) = 2f(x).g(y) AA x,y in R. If f(x) is not identically zero and |f(x)| <=1 AA x in R, then prove that |g(y)| <=1 AA y in R? | Socratic
Let #f# and #g# be two real-valued functions such that #f(x+y) + f(x-y) = 2f(x).g(y) AA x,y in R#. If #f(x)# is not iden... | 4 | [
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Question #a8e62 | Socratic
Question #a8e62
1 Answer
$1.0 \cdot {10}^{2} \text{mL}$
Explanation:
The thing to remember about dilution calculations is that the ratio that exists between the concentration of the concentrated solution and that of the diluted solution is equal to the ratio that
exists between the volume... | 4 | [
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Some Results from Graph Theory
The following results will help us prove that the output of Prim's Algorithm is guaranteed to be a minimal spanning tree:
Every tree with $n \gt 1$ vertices has a leaf (i.e., some vertex of degree 1).
Proof: Suppose not. Every vertex must have a path to every other vertex, so the degre... | 5 | [
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Doult )
\[
\begin{array}{l}
\sum_{m_{1}} r m_{1} \text { समान द... | Filo
Question asked by Filo student
Doult \[ \begin{array}{l} \sum_{m_{1}} r m_{1} \text { समान द्रव्यमान है। } \\ F_{g}=\frac{G\left(m_{1}\right)^{2}}{r^{2}} \\ \sqrt{F_{g} \propto \frac{1}{r^{2}}} \| \operatorname{Fg}^{-2} \\ \text { But
} \sum_{m_... | 5 | [
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Thales' Theorem
A theorem that is credited to Thales (after Thales of Miletus, (c. 620 - c. 546 BC) is the subject of Euclid's Elements VI.2:
If a straight line is drawn parallel to one of the sides of a triangle, then it cuts the other sides of the triangle, or these produced, proportionally; and, if the sides of t... | 4 | [
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Nahamcon 2023: Cryptography | root@nayyyr:~/blog#
Intro
So maybe I haven’t written a blog post in a while, but I was able to make time for Nahamcon 2023 where my team got 35th! I managed to full solve the cryptography category, and while it wasn’t
terribly difficult, there were a number of math concepts that showed up... | 5 | [
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A Connection Between Binary Search Trees and Quicksort
Consider the running time of inserting any $n$ elements into an initially empty binary search tree.
In the best case, the process results in a balanced tree similar to the one shown below. In this case, note there are $n$ nodes to be created, each requiring at mo... | 4 | [
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Scale drawing of lengths and distances
Back to: MATHEMATICS JSS 2
Welcome to Class !!
We are eager to have you join us !!
In today’s Mathematics class, We will be discussing Scale Drawing of lengths and Distances. We hope you enjoy the class!
A drawing that shows a real object with accurate sizes except they have... | 4 | [
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Does volume have to be in liters for pv=nrt?
Asked by: Tracy Rempel Score: 4.2/5
(
15 votes
)
The Gas Constant (R)
It is crucial to match your units of Pressure, Volume, number of mole, and Temperature with the units of R. If you use the first value of R, which is 0.082057 L atm mol^-^1K^-^1, your unit for
pressu... | 4 | [
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Significant Liquid Structures - Modeling the Structure of Liquids: The Physical Model Approach - Liquid-State Physical Chemistry: Fundamentals, Modeling, and Applications (2013)
Liquid-State Physical Chemistry: Fundamentals, Modeling, and Applications (2013)
8. Modeling the Structure of Liquids: The Physical Model App... | 4 | [
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Using Differential Equations To Solve Missile Trajectory Problems
A series of separate differential equations can be set up using the diagram shown below, based on projectile motion - incorporating gravity but neglecting air drag effects.
Diagram depicting projectile motion in 2 dimensions.
Here we can write the DEs... | 5 | [
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Measure the drag coefficient of your car
Purpose
The purpose of this experiment is to determine your vehicle’s drag coefficient Cd and coefficient of rolling resistance Crr. This is done by measuring your vehicle’s speed as a function of time while
coasting in neutral (also known as a coast down test).
Why would yo... | 5 | [
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Recently, I had email from a student in Italy.
I am doing a project on Hand-Eye calibration. I have found A, the transformation from camera to world, and B, the transformation from gripper to base. I want to find the transformation from gripper
to camera. This is the solution of the equation AX = XB. Can you me any a... | 5 | [
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SICP-1.3.1节练习
lispor
posted @
Feb 22, 2011 02:07:35 PM
in
Scheme
with tags
SICP
, 1569 阅读
练习 1.29 - 1.33
练习 1.29:
Simpson's Rule is a more accurate method of numerical integration than the method illustrated
above. Using Simpson's Rule, the integral of a function f between a and b is approximated as
h
- (y_... | 5 | [
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Quasi-conformal mapping
From Encyclopedia of Mathematics
A mapping with bounded distortion or bounded deviation from a conformal mapping. A numerical characterization of the distortion under a mapping $ f : D \rightarrow D ^ \prime $ at a point $ a \in D $
is the coefficient $ k ( f , a ) $ of quasi-conformality (di... | 4 | [
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Angle between a Line and a Plane
Angle between a Line and a Plane
A line that intersects a plane makes an angle to the plane. The angle is defined by taking a point on the line and dropping it vertically to the plane. Complete a triangle by drawing from this point
to where the line intersects the plane. The angle is ... | 4 | [
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A novel bibliometric index with a simple geometric interpretation
Abstract
We propose the χ-index as a bibliometric indicator that generalises the h-index. While the h-index is determined by the maximum square that fits under the citation curve of an author when plotting
the number of citations in decreasing order, th... | 4 | [
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The Open Carbonate System
In an open carbonate system, the aqueous solution is in chemical equilibrium with atmospheric CO[2].^1
Unlike the closed system, where the total amount of inorganic carbon (DIC) remains constant as the pH changes, the amount of DIC in an open system increases with increasing pH.
Henry’s Law... | 4 | [
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... | 13,698,490 | 13698490 | |
. (a) How long can you play tennis on the 800 kJ (about 200 kcal) of energy in a candy bar? (b) Does this seem like a long time?
All categories
. (a) How long can you play tennis on the 800 kJ (about 200 kcal) of energy in a candy bar? (b) Does this seem like a long time?
Discuss why exercise is necessary but may not... | 4 | [
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5.1 Sample Spaces, Outcomes, Events, and Set Operations | Data Analysis for Public Affairs with R
5.1 Sample Spaces, Outcomes, Events, and Set Operations
A sample space is a list of all possible outcomes of an experiment and is denoted \(\Omega\). Examples of sample spaces are:
• Rolling a single die: \(\Omega = \... | 4 | [
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... | 13,698,492 | 13698492 | |
PART A) Recall from Example 1 that whenever Suzan sees a bag of
marbles, she grabs...
PART A) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs...
PART A) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red mar... | 4 | [
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How To Calculate Acceleration With Friction
scanrail/iStock/GettyImages
As a force that opposes motion, friction always reduces acceleration. Friction occurs between the interaction of an object against a surface. Its magnitude depends on the characteristics of both the
surface and the object, and whether the object... | 4 | [
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Question #b7a06 | Socratic
Question #b7a06
2 Answers
See a solution process below"
Explanation:
Assuming you are looking for the radical form of ${4}^{\frac{2}{3}}$
We can rewrite the expression as:
${4}^{2 \times \frac{1}{3}}$
We can use this rule for exponents to simplify the expression giving:
${x}^{\textcol... | 4 | [
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AP SSC 10th Class Maths Solutions Chapter 1 Real Numbers Optional Exercise
AP State Board Syllabus AP SSC 10th Class Maths Textbook Solutions Chapter 1 Real Numbers Optional Exercise Textbook Questions and Answers.
AP State Syllabus SSC 10th Class Maths Solutions 1st Lesson Real Numbers Optional Exercise
10th Class... | 4 | [
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ce
Updating search results...
15 Results
Family facing 6th Grade math unit focusing on area and surface area.
Subject:
Material Type:
Provider:
Date Added:
11/17/2020
In this unit, students learn to find areas of polygons by decomposing, rearranging, and composing shapes. They learn to understand and use the te... | 4 | [
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Plastic analysis of structural steel beams -
Plastic analysis of structural steel beams
Tapered Steel beam with purlins
The design of a steel beams can be made considering their ability to yield under the action of bending loads. A fully compact beam cross section develop its plastic bending moment capacity through
... | 4 | [
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If x<0and y<0 x+y+x÷y=1÷2 and (x+y)x÷y=-1÷2 then find x and y? | Socratic
If x<0and y<0 x+y+x÷y=1÷2 and (x+y)x÷y=-1÷2 then find x and y?
1 Answer
$x = - \frac{1}{4}$ and $y = - \frac{1}{4}$
Explanation:
We have:
$x + y + \frac{x}{y} = \frac{1}{2}$ ..... [A]
$\left(x + y\right) \frac{x}{y} = - \frac{1}{... | 4 | [
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