content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Darboux's theorem (analysis)
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Darboux's theorem (analysis)
Darboux's theorem (analysis)
In mathematics, Darboux's theorem is a theorem in real ana... | 5 | [
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For the data in Exercise 10 of Chapter 10, Section 2 “The Linear
Correlation Coefficient” Compute...
For the data in Exercise 10 of Chapter 10, Section 2 “The Linear Correlation Coefficient” Compute...
For the data in Exercise 10 of Chapter 10, Section 2 “The Linear Correlation Coefficient” Compute the least squares r... | 5 | [
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Series and Parallel Circuits - ppt video online download
2 Characteristics of Series CircuitsOnly one path (electron has no choices, must go through all components) If one goes out, they all go out Voltage adds VT=V1+V2+V3+…. Current is constant IT=I1=I2=
I3=…. Resistance adds RT=R1+R2+R3+…. Power adds PT=P1+P2+P3+….
... | 5 | [
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Measure EVM for 802.15.4 (ZigBee) System
This example shows how to measure the error vector magnitude (EVM) of a simulated IEEE® 802.15.4 [ 1 ] transmitter by using a comm.EVM System object™. The EVM measurement quantifies the modulation
accuracy of a transmitter by measuring the difference between an error-free modul... | 4 | [
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A researcher is interested in whether salaries for middle school
teachers were less than salaries for...
A researcher is interested in whether salaries for middle school teachers were less than salaries for...
A researcher is interested in whether salaries for middle school teachers were less than salaries for nurses ... | 5 | [
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The "beta coefficient" of a stock is a measure of the stock`s
volatility (or risk) relative...
The "beta coefficient" of a stock is a measure of the stock`s volatility (or risk) relative...
The "beta coefficient" of a stock is a measure of the stock`s volatility (or risk) relative to the market as a whole. Stocks with... | 5 | [
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Singular Point: Regular and Irregular Examples
Singular Point in Differential Equations
A differential equation of the form y′′ + p(x)y′ + q(x)y = 0 has a singular point at x[0] if either of the following limits do not exist [1]:
What this means for second order differential equations is that an initial value probl... | 5 | [
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Diophantine equation
2015-07-14
Description:
Consider quadratic Diophantine equations of the form:
x^2 – Dy^2 = 1
For example, when D=13, the minimal solution in x is 649^2 – 13×180^2 = 1.
It can be assumed that there are no solutions in positive integers when D is square.
By finding minimal solutions in x for D... | 5 | [
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In a recent year, 65% of first-year college students responding
to a national survey identified "being...
In a recent year, 65% of first-year college students responding to a national survey identified "being...
In a recent year, 65% of first-year college students responding to a national survey identified "being very... | 5 | [
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Incentre Angle
Weekly Problem 1 - 2011
Use facts about the angle bisectors of this triangle to work out another internal angle.
Problem
The three angle bisectors of triangle $LMN$ meet at a point $O$ as shown.
$\angle LNM$ is $68^{\circ}$. What is the size of $\angle LOM$?
If you liked this problem, here i... | 4 | [
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Try you hand at a few exercises involving Exploring Matrices.
Contents
Qube Simplified
I have simplified the Qube app by removing these four buttons.
• solve. The <== key now controls the unscrambling operation.
• scramble. The ==> key now does six random rotations.
• order. I never found a satisfactory re... | 5 | [
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3.6 Perpendicular and Parallel Lines – Intermediate Algebra (2024)
Chapter 3: Graphing
Perpendicular, parallel, horizontal, and vertical lines are special lines that have properties unique to each type. Parallel lines, for instance, have the same slope, whereas perpendicular lines are
the opposite and have negative re... | 4 | [
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Ordinary Differential Equations/Substitution 1 - Wikibooks, open books for an open world
As we saw in a previous example, sometimes even though an equation isn't separable in its original form, it can be factored into a form where it is. Another way you can turn non-separable equations
into separable ones is to use sub... | 5 | [
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[Solved] What is the derivative of \(\rm e^{e^x}\) with res
What is the derivative of \(\rm e^{e^x}\) with respect to e^x?
This question was previously asked in
NDA 02/2021: Maths Previous Year paper (Held On 14 Nov 2021)
View all NDA Papers >
Answer (Detailed Solution Below)
Option 1 : \(\rm e^{e^x}\)
Electri... | 5 | [
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Science:Math Exam Resources/Courses/MATH100/December 2010/Question 01 (i)
MATH100 December 2010
• 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 (a) • Q2 (b) • Q2 (c) • Q3 • Q4 (a) • Q4 (b) • Q4 (c) • Q4 (d) • Q4
(e) • Q5 • Q6 • Q7 • Q8... | 5 | [
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Standard Deviation
Updated on 2023-08-29T11:57:25.931179Z
What is Standard Deviation?
Standard deviation could be defined as a measure of dispersion that describes the variability around the central tendency and is often a measure of risk.
Also, in statistical terms, standard deviation could be defined as the posi... | 4 | [
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Calculate the root mean square velocity of the hydrogen molecule at STP.
Hint: Recall the formula used to calculate the root mean square velocity. Also take into consideration the kinetic molecular orbital theory. Think about what values you can put in the formula given
that the molecules are present at STP.
Complete ... | 5 | [
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How to implement a formal expectation operator over an unknown distribution
1
|
12114 Views
|
8 Replies
|
5 Total Likes
How to implement a formal expectation operator over an unknown distribution
I need to do some simplification of an expression involving averages over a stochastic variable (in order to verify ... | 5 | [
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Pattern Detection and Scaling Laws of Daily Water Demand by SOM: an Application to the WDN of Naples, Italy
(1)
https://doi.org/10.1007/s11269-018-2140-0
Pattern Detection and Scaling Laws of Daily Water Demand
by SOM: an Application to the WDN of Naples, Italy
Roberta Padulano1 · Giuseppe Del Giudice1
Published o... | 4 | [
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A Semiflexible Polymer Translocation Through a Cylindrical Channel
2. Methods and Model
Monte Carlo (MC) and Molecular Dynamics (MD) are widely recognized as the most popular techniques for simulating a wide range of systems and phenomena. Among these methods we used Monte Carlo (MC)
simulation method
[26, 28]
due... | 4 | [
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How do you solve sqrt(x+1) =sqrt(x-5)? | Socratic
How do you solve #sqrt(x+1) =sqrt(x-5)#?
1 Answer
Explanation:
$\sqrt{x + 1} = \sqrt{x - 5}$
In order to eliminate a square root we can square the root.
Whatever you do on the left, you also do on the right.
${\sqrt{x + 1}}^{2} = {\left(\sqrt{x - 5}\right)}^{2}$
T... | 4 | [
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Quantitative Investing - How Math Drives Effective Portfolio Allocation Strategies – Toni Esteves
Citizens, families, and businesses all face the issue of financial investment. Families sometimes want to preserve their assets from inflation or earn more money without risking their resources.
Companies must navigate mor... | 5 | [
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How do you integrate int x/sqrt(16-x^2) by trigonometric substitution? | HIX Tutor
How do you integrate #int x/sqrt(16-x^2)# by trigonometric substitution?
Answer 1
$- \sqrt{16 - {x}^{2}} + C$
Although this is well set up for a shorter, non-trigonometric substitution #(#see: #u=16-x^2)#, we can make the trigonometri... | 5 | [
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How GCC Converts Decimal Literals to Floating-Point - Exploring Binary
How GCC Converts Decimal Literals to Floating-Point
I’ve written about two implementations of decimal string to double-precision binary floating-point conversion: David Gay’s strtod(), and glibc’s strtod(). GCC, the GNU Compiler Collection, has yet... | 4 | [
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a 400ml bottle contains 15% alcohol .what volume of pure alohol be ad
Magical Mathematics[Interesting Approach]> a 400ml bottle contains 15% alcohol . wha...
a 400ml bottle contains 15% alcohol .what volume of pure alohol be added to solution to make it of strength 32%
1 Answers
Rithika Ganesan
Last Activity: 7 Yea... | 4 | [
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Structural Models (EFA, CFA, SEM, ...)
Source:
vignettes/efa_cfa.Rmd
efa_cfa.Rmd
How to perform a Factor Analysis (FA)
The difference between PCA and EFA can be quite hard to intuitively grasp as their output is very familiar. The idea is that PCA aims at extracting the most variance possible from all variables o... | 4 | [
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For most retaining walls the long term, fully drained, situation usually governs the wall stability. For the analysis of fully drained conditions the Mohr-Coulomb criterion needs to be expressed in
terms of effective stress using the effective strength parameters c´ and ?´. For design it is also conservative to use th... | 5 | [
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wept-frequency cosine (chirp) signal
Chirp
Generate swept-frequency cosine (chirp) signal
Libraries:
DSP System Toolbox / Sources
Description
The Chirp block outputs a swept-frequency cosine (chirp) signal with unity amplitude and continuous phase. To specify the desired output chirp signal, you must define its ins... | 4 | [
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Lens effect in a Kerr field - PDF Free Download
Vol. 29 (1991)
REPORTS
ON
MATHEMATICAL
LENS EFFECT
No. 3
PHYSICS
IN A KERR FIELD
JERZY PLUTA Institute
of Fundamental
Technological (Received
Research, December
Polish Academy
of Sciences, Warsaw
7, 1989)
A ray of light passing through a gravitational field... | 4 | [
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higher observational type theory
Contents
Idea
Where the idea of (non-higher) observational type theory is to equip all type formation rules (notably dependent functions, dependent pairs and inductive constructions) with their dedicated notion of
structure preserving definitional equality — namely: component-wise, ie... | 4 | [
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Doubling Time
Doubling Time Calculator (Click Here or Scroll Down)
The Doubling Time formula is used in Finance to calculate the length of time required to double an investment or money in an interest bearing account.
It is important to note that r in the doubling time formula is the rate per period. If one wishe... | 4 | [
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How to Calculate the Short Circuit Rating
••• Jupiterimages/Photos.com/Getty Images
Formally, calculating short short currents is a complex task because of the many variables involved. For this reason, many engineers use computer programs to calculate the currents. However, you can
use a simplified method to approxima... | 4 | [
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Discovering Abstract Algebrasearch
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Discovering Abstract Algebra
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN: 978... | 5 | [
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Time
Time is defined by its measurement: time is what a clock reads.[1] In classical, non-relativistic physics, it is a scalar quantity (often denoted by the symbol {\displaystyle t}t) and, like length,
mass, and charge, is usually described as a fundamental quantity. Time can be combined mathematically with other ph... | 4 | [
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Stirling Numbers of the Second Kind
In combinatorics, the Stirling numbers of the second kind tell us how many ways there are of dividing up a set of n objects (all different, or at least all labeled) into k nonempty subsets. The k
subsets aren’t labeled.
We write Stirling numbers of the second kind as S(n,k) or:
.
... | 4 | [
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NCERT Solutions For Class 8 Maths Chapter 2 Linear Equations In One Variable - Cbsestudyguru.com
NCERT Solutions For Class 8 Maths Chapter 2 Linear Equations in One Variable
Class 8 Maths Chapter 2 Linear Equations in One Variable
NCERT Solutions For Class 8 Maths Chapter 2 Linear Equations In One Variable, (Maths) e... | 4 | [
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Gradient Descent in Python-II
In the previous segment, you implemented gradient descent for simple linear regression. In this segment, we will implement gradient descent for multiple linear regression. We also know that in
multiple linear regression, we have more than one predictors.
For multiple linear regression, t... | 4 | [
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Egret Swarm Optimization
Script error: No such module "Draft topics". Script error: No such module "AfC topic".
A Snowy Egret
The Egret Swarm Optimization Algorithm (ESOA) is a meta-heuristic optimization algorithm that combines the predatory behavior of Snowy Egrets (Sit-And-Wait Strategy) and Great Egrets (Aggr... | 4 | [
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ElectroStudy
An electric motor has specifications: voltage is 380 V, 3 phase, frequency is 50 Hz, 1500 rpm, cos phi is 0.8 and real power on the name plate is 22 kW. Convert to HP (Horse Power) and calculate, how
many
current
of electricity will flow into the motor?
Connection of 3-Phase Motor
:catat: Answer:
1H... | 4 | [
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Displacement time-history record
When an acceleration record is specified for time-history analysis, the ground motion is automatically applied to all support restraints. CSI Software uses d’Alembert’s principle to then translate
the time history into acceleration loads which are applied to structural joints. During ... | 4 | [
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QUENCHING FOR A PARABOLIC PROBLEM DUE TO A CONCENTRATED NONLINEAR SOURCE ON A SEMI-INFINITE INTERVAL
Title QUENCHING FOR A PARABOLIC PROBLEM DUE TO A CONCENTRATED NONLINEAR SOURCE ON A SEMI-INFINITE INTERVAL
Publication Journal Article
Type
Year of 2009
Publication
Authors CHAN C.Y, TREEYAPRAS... | 4 | [
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An electric toy car with a mass of 3 kg is powered by a motor with a voltage of 8 V and a current supply of 15 A. How long will it take for the toy car to accelerate from rest to 7 m/s? | HIX Tutor
An electric toy car with a mass of #3 kg# is powered by a motor with a voltage of #8 V# and a current supply of #15 A#. H... | 4 | [
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“Keeping the polynomial monster under control”
“Keeping the polynomial monster under control"
This post is part of the series "Polynomial features in machine learning", and is not self-contained.
Series posts:
1. “Keeping the polynomial monster under control" (this post)
A recap
In the previous post we we saw tha... | 5 | [
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How a Photon Is Created or Absorbed
Robert C. Rittenhouse
Walla Walla College, College Place, WA 99324
John C. Wright and Jon L. Holmes
University of Wisconsin-Madison, Madison, WI 53706
HTML Tranlation by Paul Wagner
University of Wisconsin-Madison, Madison, WI 53706
A student typically encounters the concept of a ... | 4 | [
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Discrete-Continuous
The current system of routing flights on predefined airway networks does not harvest the benefits of exploiting tailwinds in an optimal way. Dropping the restriction to airways allows saving fuel and
reducing CO[2]–emission – an important driver in view of growing air traffic. Established graph-bas... | 4 | [
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Radical Expressions
The "
$\sqrt{16}$
, it becomes a
radical expression
.
$\sqrt{16}$
can be read as "the square root of 16", "root 16" or "radical 16".
Each radical expression has an index and a radicand.
$\sqrt[\left(index\right)]{\lef... | 4 | [
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A resonance circuit having inductance and resistance 2 xx 10^(-4) H a
A resonance circuit having inductance and resistance 2×10−4 H and 6.28 Ω respectively oscillates at 10 MHz frequency. The value of quality factor of this resonator is_____.
The correct Answer is:2000
Given : R=6.28Ω
f =10 MHz
L=2×x10−4 Henry
We kn... | 4 | [
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Quartic polynomial equations of the form (ax + b)(cx + d )( px + q)(rx + s)+ k = 0 , k ≠ 0 which can be rewritten in the form (αx^2 + β x +λ) (αx^2 + β x + µ)+ k = 0
We illustrate the method of solving this situation in the next two examples.
Example 3.23
Solve the equation
(x - 2)(x - 7)(x - 3)(x + 2) +19 = 0.
S... | 4 | [
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0.07421875,
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-0.03955078125,
0.0363769531... | 13,705,047 | 13705047 | |
(Log-Normal) heterogeneity priors for binary outcomes
TurnerEtAlPrior {bayesmeta} R Documentation
(Log-Normal) heterogeneity priors for binary outcomes as proposed by Turner et al. (2015).
Description
Use the prior specifications proposed in the paper by Turner et al., based on an analysis of studies using binary e... | 5 | [
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How to Calculate the Distance/Speed of a Falling Object
••• joggiebotma/iStock/GettyImages
Galileo first posited that objects fall toward earth at a rate independent of their mass. That is, all objects accelerate at the same rate during free-fall. Physicists later established that the
objects accelerate at 9.81 meters... | 4 | [
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... | 13,705,049 | 13705049 | |
Factory, Warehouse, Sales Allocation Model: Solver-Based
This example shows how to set up and solve a mixed-integer linear programming problem. The problem is to find the optimal production and distribution levels among a set of factories, warehouses, and
sales outlets. For the problem-based approach, see Factory, War... | 4 | [
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A Comprehensive Guide to Integration: Decoding the Expression 1, 1, x, 2, 1, 2A Comprehensive Guide to Integration: Decoding the Expression 1, 1, x, 2, 1, 2 - Birmingham Journal
Integration is a cornerstone of calculus that connects geometry and algebra. The phrase “integrate 1, 1, x, 2, 1, 2” may appear confusing at f... | 5 | [
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Class 8 Maths Exercise 3.4 Solutions
Class 8 Maths Exercise 3.4 in Hindi
Class 8 Maths Book Download in PDF
Class 8 Maths Chapter 3 Solutions
Class 8 Maths NCERT Solutions
Class 8 All Subjects Solutions
NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 in Hindi and English medium modified and updated for acade... | 4 | [
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28.2 Shortest Paths on DAGs | CS61B Textbook
Recall from the previous section that DAGs are directed, acyclic graphs. If we wanted to find the shortest path on DAGs we could use Dijkstra's. However, with DAGs there's a simple shortest path
algorithm which also handles negative edge weights!
Dijkstra's Negative Edge We... | 4 | [
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... | 13,705,053 | 13705053 | |
OR in an OB World
This is a continuation of my previous post, in which I discussed the common modeling issue of using a binary variable to enforce or relax a linear constraint. The standard approach to this uses what
is commonly known as a "big M" constraint, but there are alternatives. The two that I mentioned in the ... | 4 | [
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0.05981445312... | 13,705,054 | 13705054 | |
Identity Matrix - What is Identity Matrix? 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.
Identity Matrix
The identity ma... | 4 | [
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0.035400390... | 13,705,055 | 13705055 | |
Maximum flow - Push-relabel
Maximum flow - Push-relabel method improved¶
We will modify the push-relabel method to achieve a better runtime.
Description¶
The modification is extremely simple: In the previous article we chosen a vertex with excess without any particular rule. But it turns out, that if we always... | 4 | [
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Blackbody Radiation – The Physics Hypertextbook
Discussion
introduction
Newton's laws of motion and universal gravitation, the laws of conservation of energy and momentum, the laws of thermodynamics, and Maxwell's equations for electricity and magnetism were all more or
less nearly complete at the end of the 19th cen... | 4 | [
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Final Topologies
Final Topologies
Recall from the Initial Topologies page that if $X$ is a set, $Y$ is a topological space, and $f : X \to Y$ then the initial topology induced by $f$ on $X$ is the coarsest topology which makes the
map $f : X \to Y$ continuous.
More generally, if $X$ is a set, $\{ Y_i : i \in I \}$ i... | 4 | [
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... | 13,705,058 | 13705058 | |
Cube 1 to 30 | Values of Cubes from 1 to 30 [PDF Download]
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.
Cubes 1 to 30
Cubes 1 to... | 4 | [
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Haogao Gu
Book notes: Coalescent theory: An introduction
Last modified: Post views:
The book Coalescent theory: An introduction by John Wakeley stays in my bookshelf for more than 3 years. I have tried started reading it several times, but I always got stuck in the first two
chapters. This time I decided to read it f... | 4 | [
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he Kelly
The Kelly Criterion#
The Kelly Criterion determines the size of a bet in a repeated game with binary outcomes. The analysis was proposed in 1956 by John Kelly at Bell Laboratories. Kelly identified an analogy between
gambling on binary outcomes and Claude Shannon’s work on encoding information for transmissio... | 5 | [
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... | 13,705,061 | 13705061 | |
Normal Subgroups
Normal Subgroups
Recall from the Left and Right Cosets of Subgroups page that if $(G, \cdot)$ is a group, $(H, \cdot)$ is a subgroup, and $g \in G$ then the left coset of $H$ with representative $g$ is defined to be
the set:
(1)
\quad gH = \{ g \cdot h : h \in H \}
Similarly, the right coset of $H... | 5 | [
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Solve the following quadratic equation by completing the square method ${{x}^{2}}+10x+21=0$.
Hint: We are required to use completing the square method to solve this question. The first step is to make the coefficient of ${{x}^{2}}$ equal to 1 by dividing its coefficient throughout the
equation. Then, we can transpose t... | 4 | [
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Swing-Up Control of a Pendulum on a Cart using Multistage Nonlinear MPC with Nonlinear Grey-Box Model
This example uses a multistage nonlinear model predictive controller to swing-up and balance an inverted pendulum on a cart. The nonlinear plant that you use to design the MPC controller is a
grey-box model in which t... | 4 | [
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... | 13,705,064 | 13705064 | |
Neuron Activation Function
A Neuron Activation Function is an decision function in an artificial neuron.
• Context:
• Example(s):
□ a Step Function-based Activation Function, e.g. [math]\displaystyle{ \varphi(v) = \begin{cases} a: \ \text{if} \ v \gt c \\ b: \ \text{if} \ v \ge c\end{cases} }[/math];
□... | 4 | [
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Result Summery
This page is about calculating the outcome of a collision between 2 solid bodies. In other words given the initial velocities and masses of the objects, what will be the final velocities?
The results are summarised here, these results are proved in the remainder of this page.
┌───────────────────────... | 5 | [
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df-nadd - Mathbox for Scott Fenton
Detailed syntax breakdown of Definition df-nadd
┌────┬───────────┬───────┬───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────... | 4 | [
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Journal of Mathematical Finance Vol.06 No.05(2016), Article ID:72117,24 pages
10.4236/jmf.2016.65057
Randomized Stopping Times and Early Exercise for American Derivatives in Dry Markets
João Amaro de Matos^1, Ana Lacerda^2
^1Nova School of Business and Economics, Universidade Nova de Lisboa, Lisbon, Portugal
^2Eco... | 4 | [
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None
If C is the cost of producing an output x, then marginal cost function MC = dc/dx
Using integration, as the reverse process of differentiation, we obtain,
Cost function C = ∫ ( MC ) dx + k
Where k is the constant of integration which is to be evaluated,
Average cost function AC = C/X, x ≠ 0
Example 3.9
The m... | 5 | [
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Use the lm command to create the linear-log model in R. The
linear log function takes...
Use the lm command to create the linear-log model in R. The linear log function takes...
Use the lm command to create the linear-log model in R. The linear log function takes the form Y=a+blog(x)
> #generating data for the proble... | 5 | [
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IIT JEE 2006 Sample Question Paper
JEE 2006 Sample Question Paper :
Page 1 |
Page 2
|
Page 3
|
Page 4
|
Page 5
|
Page 6
|
Page 7
IIT JEE 2006 Sample Question Paper
Passage 1
When heat is added to a gas, the temperature increases and the gas expands. If the gas is in a rigid container, then the volume rem... | 4 | [
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Search for:
Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge
during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to n... | 4 | [
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12.1.1 Simulating impacts
In section 12.1, we highlighted four aspects of impacts which should be included in a comprehensive simulation model. Some details of how to implement these will be described here. The first was to
allow for the possibility of some loss of energy during the bounce. As is familiar from many pr... | 4 | [
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Shabnam has 2 school bags 3 tiffin boxes and 2 water class 11 maths JEE_Main
Hint: First find the number of ways 1 school bag will be selected from 2 school bags. Then, find the number of ways to select 1 tiffin box out of 3 tiffin boxes. After that find the number of ways to
select 1 water bottle out of 2 water bottle... | 4 | [
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Hiding Encryption and Credit Card Numbers In Plaintext With Format Preserving Encryption
We can normally spot when something is encrypted, as it either looks like Base64 or hex characters. But, why can’t we convert our ciphertext into a form that looks a bit more like the characters we
would expect to see? And, could ... | 4 | [
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Standing Waves
Goal
Understand what a standing wave is and how to deal with them, and ideally avoid them.
Standing Waves
Standing Waves are waves that appear to be stationary in a room. Their low pressure, high pressure, and nodes do not move, they are stationary, or "standing" still. The waves fall into a category ... | 5 | [
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Find The First Four Nonzero Terms Of The Taylor Series About 0 For The Function T^(2)sin(5t)
The first four nonzero terms of the Taylor series about 0 for the function f(t) = t^2 sin(5t) are:
t^2, (5/3)t^3, ...
To find the first four nonzero terms of the Taylor series about 0 for the function f(t) = t^2 sin(5t), we n... | 5 | [
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ultiobj
gamultiobj Algorithm
Introduction
This section describes the algorithm that gamultiobj uses to create a set of points on the Pareto front. gamultiobj uses a controlled, elitist genetic algorithm (a variant of NSGA-II [3]). An elitist
GA always favors individuals with better fitness value (rank). A controlled ... | 4 | [
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What is Mechanical Energy - Definition
What is Mechanical Energy – Definition
In physics, mechanical energy (Emech) is the energy associated with the motion and position of an object usually in some force field (e.g. gravitational field). Material Properties
What is Mechanical Energy
In physics, mechanical energy (... | 4 | [
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Feedback Through Nodal Attribute Changes
31 Feedback Through Nodal Attribute Changes
This next tutorial will briefly demonstrate how changes to nodal attributes over time are another mechanism that results in feedback between the epidemic system and the dynamic network structure. In
the context of diseases like HIV, p... | 4 | [
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Financial and Managerial Accounting
10.6 Direct Materials Variances
As you’ve learned, direct materials are those materials used in the production of goods that are easily traceable and are a major component of the product. The amount of materials used and the price
paid for those materials may differ from the standar... | 4 | [
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Gradient-based Optimization Method
The following features can be found in this section:
Iterative Solution
OptiStruct
uses an iterative procedure known as the local approximation method to determine the solution of the optimization problem using the following steps:
1. Analysis of the physical problem using fini... | 4 | [
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Nix the Tricks
A pretty interesting conversation unfolded in Geometry this morning. We are getting ready to explore similarity, so I gave the kiddos a quick assignment on solving proportional equations with one
variable. This was meant to be pure review. When we started talking about these problems I, of course, heard ... | 4 | [
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Priyam Study Centre | Van't Hoff Equation Derivation
The Van't Hoff Equation: Derivation and Applications
Jan 13, 2024
Welcome to Priyam Study Centre, your trusted resource for all things related to science and education. In this article, we will delve into the derivation of the Van't Hoff equation and explore its
ap... | 4 | [
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Hypothesis Tests for Variance Case I
Statistics is the language of variation. Everything varies, and we use variance (σ^2) to describe the spread of the data. For any experimental work aimed at making improvements, whether in the
design, manufacturing process or field performance, there are two ways to make improvement... | 5 | [
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The Learner Will Use Relations and Functions to Solve Problems
GOAL 4
The learner will use relations and functions to solve problems.
4.01 Use linear functions or inequalities to model and solve problems; justify results.
a) Solve using tables, graphs, and algebraic properties.
b) Interpret constants and coefficien... | 4 | [
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enerality
First order language Expressing generality
If we are to describe the world, we must first be able to name things. In logic a proper name is a simple expression (that is, one we do not further analyse) serving to pick out an individual thing.
Examples of proper names in English include 'Australia', 'Forty-two... | 4 | [
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Why is the last digit of n5 equal to the last digit of N?
The fundamental reason for this, as everybody has noted, is due to rules of modular arithmetic. Note, the last digit of n5 can only be affected by the last digit of n. That is, the 1s digit of any
power of n will only be affected by the ones digit of n, and not... | 5 | [
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Calculating specific heat capacity (∆ E = m c ∆ θ) | Oak National Academy
Hello there, I'm Mr. Forbes and welcome to this lesson from the Energy of Moving Particles unit.
The lesson's called calculating specific heat capacity.
By the end of this lesson, you're going to be able to carry out a wide range of calculati... | 4 | [
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Problems
Clock problems: Solved examples
Example 1: What is the smaller angle between the two hands of the clock at 5:00 O’clock?
Sol : At 5 O’clock, the hour hand will be at 5 and the minute hand will be at 12. Now, they have a gap of 5 hour spaces and each hour space is 30 degrees. That means the angle between the... | 4 | [
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Exponential Growth | Sheldon Lee Glashow | Inference
Wikipedia defines exponential growth correctly, if not clearly, as “a specific way that a quantity may increase over time. It occurs when the instantaneous rate of change of a quantity with respect
to time is proportional to the quantity itself.”^1 Let me approach th... | 4 | [
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The Elegant Way To Generate The Complex Number Field
Definition: If R is a commutative ring with unity and a is in R, the ideal {ra | r is in R} of all multiples of a is the principle ideal generated by a and is denoted by "<a>".
An ideal is to a ring as a normal subgroup is to a group.
Definition: Let R ... | 4 | [
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MathAction SandBox Shortcoming
Please try the two solve statements at the bottom The first one runs in a short time but the second runs a long time. The only differenct is *R*P in eq1. Examining eq1a shows that in fact p=1 has a
solution so there should be at least one solution to eq1. More generally the grobner shou... | 4 | [
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Journal of Modern Physics Vol.07 No.11(2016), Article ID:69111,6 pages
10.4236/jmp.2016.711120
Ion Acoustic Soliton and the Lambert Function
Behrooz Maleko lkalami, Taimur Mohammadi, Khabat Ghamari
Department of Physics, University of Kurdistan, Sanandaj, Iran
Copyright © 2016 by authors and Scientific Research Pu... | 5 | [
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Integrate question - Printable Version
Integrate question - DrD - 10-18-2017 09:56 PM
Example:
integrate(cos(2*x)^3*sin(2*x)^5,x);
Returns:
-1/16*cos(2*x)^8+1/6*cos(2*x)^6-1/8*cos(2*x)^4;
attempting to simplify to match CAS programs:
1. trigsin(-1/16*cos(2*x)^8+1/6*cos(2*x)^6-1/8*cos(2*x)^4);
2. ratnormal((-1)/16*s... | 5 | [
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Matrix Outer Product: Linear Combinations of Vectors
Matrix multiplication (outer product) is a fundamental operation in almost any Machine Learning proof, statement, or computation. Much insight may be gleaned by looking at different ways of looking
matrix multiplication. In this post, we will look at one (and possib... | 4 | [
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nt
Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 8 Differentials and Partial Derivatives Ex 8.8 Textbook Questions and Answers, Notes.
Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 8 Differentials and Partial Derivatives Ex 8.8
Choose the most suitable answer from the given ... | 5 | [
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Clean Energy Based Multigeneration System for Sustainable Cities: Thermodynamic, and Stability Analyses
^1
Department of Engineering Sciences, National University of Sciences and Technology, Islamabad 44000, Pakistan
^2
Industrial Engineering Department, College of Engineering, King Saud University, Riyadh 11421, S... | 4 | [
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nal
Journal of Water Resource and Protection
Vol. 2 No. 11 (2010) , Article ID: 3191 , 6 pages DOI:10.4236/jwarp.2010.211117
Removal of Copper Ions From Acid Mine Drainage Wastewater Using Ion Exchange Technique: Factorial Design Analysis
^1Department. of Chemical Engineering, Pravara Rural Engineering College, Loni,... | 4 | [
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