content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Exploring Assumptions of K-means Clustering using R - Perceptive Analytics
K-Means Clustering is a well known technique based on unsupervised learning. As the name mentions, it forms ‘K’ clusters over the data using mean of the data. Unsupervised algorithms are a class of
algorithms one should tread on carefully. Using... | 4 | [
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0.0466308593... | 13,701,000 | 13701000 | |
how to interpret pearson correlation
Select the bivariate correlation coefficient you need, in this case Pearson’s. In practice, a correlation matrix is commonly used for three reasons: 1. Positive numbers indicate positive
relationships. This correlation coefficient is a single number that measures both the strength a... | 4 | [
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... | 13,701,001 | 13701001 | |
Does Combining ADX and RSI Create a Better Profitable Trading Strategy?
The use of technical indicators has never declined over time, but making a profit using them is uncertain due to one of their main drawbacks: revealing false trading signals. This drawback is more
significant than you might think because you might ... | 4 | [
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STEP Support Programme
Submitted by Heirio on Fri, 10/06/2017 - 20:38
I don't get how I'm supposed to do it. It tells me to use substitution of x = ky to find the second equation, though I've done this and the k values fluctuate. Moreover, what are we supposed to do
about the constant at the end without any x attached... | 4 | [
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Does jewelry and big hair slow down Olympic Runners?
Even a little added weight and air drag can make a measurable difference. But WIRED's physics guru says, if it makes you feel strong, go for it!
To be an Olympic champion, athletes spend years perfecting every aspect of their performance. That same attention to de... | 4 | [
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None
08-31-2018, 01:14 PM
Post: #1
Archilog Posts: 108
Member Joined: Dec 2013
Any HP-25c schematics?
Hello everyone,
I've bought a "cheap" but heavily blue-white-green corroded HP-25c and washed and cleaned it. It was so damaged that in the wash process I almost lost a component; this the "big" black transi... | 5 | [
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Navier-Stokes Equations - Examples, Definition, Formula, FAQ\'S
Navier-Stokes Equations
The Navier-Stokes Equations, foundational in the laws of fluid dynamics, describe how the velocity field of fluid substances behaves under various forces. These equations integrate principles of
physics to model the motion of fluid... | 4 | [
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Sieve of Eratosthenes | Brilliant Math & Science Wiki
Sieve of Eratosthenes is a simple and ancient algorithm used to find the prime numbers up to any given limit. It is one of the most efficient ways to find small prime numbers.
For a given upper limit \(n\) the algorithm works by iteratively marking the multiples of... | 4 | [
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Solving Quadratic Equation with One Unknown
How to solve a quadratic equation.
The quadratic equation can be expressed as
a x^2 + b x + c = 0 (1)
which can be solved for the two alternatives of x as
x[1,2] = (-b ± (b^2 - 4 a c)^1/2) / (2 a) (2)
Example - Solving Quadratic Equation
If
a = 1
b = 6
c = 5
then th... | 4 | [
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Specific Problems in Measurement of Coefficient of Friction Using Variable Incidence Tribometer
^1
Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia
^2
Faculty of Material Science and Technology in Trnava, Slovak University of Technology in Bratislava, 91724 Trnava, Slovakia
... | 4 | [
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Solving Literal Equations
SOLVING LITERAL EQUATIONS
A literal equation is, simply put, an equation that has a lot of letters or variables.
For example,
A = 𝓁 ⋅ w
(The formula for finding the area of a rectangle)
E = mc^2
(Einstein’s Theory of Relativity)
are both literal equations.
When a literal equation is... | 4 | [
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How to Calculate the Margin of Error for a Sample Mean - dummies
When you need to find a statistical sample mean (or average), you also need to report a margin of error, or MOE, for the sample mean. You can also calculate the margin of error of a sample proportion
, which is the amount of "successes" in a sample compa... | 4 | [
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Infinity: A Mathematical Introduction
Table of Contents
Perhaps there aren’t so many mysterious and yet fluent concepts such as infinity. Most of us have some sense of it, even as children. And yet, trying to pinpoint it can quickly become philosophical
or metaphysical. As children, we might say “I love you infinitely... | 4 | [
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Approximations
The general form for MML ("MML87") depends on the determinant of the Fisher information matrix.
MML87: For model parameter(s) θ, prior h(θ), data-space X, data x, and likelihood[ ]function f(x|θ),
θ = <θ[1], ..., θ[n]>,
F(x, θ)[ij] = d^2/dθ[i] dθ[j] { - ln f(x|θ) },
F(θ) = ∑[x:X]{ f(x|θ).F(x... | 4 | [
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53rd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Bulletin of the American Physical Society
53rd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 67, Number 7
Monday–Friday, May 30–June 3 2022; Orlando, Florida
Session V01: Poster Session III (4:00-6... | 4 | [
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0.01416015625... | 13,701,014 | 13701014 | |
Substituting y = 1
⇒ f(x + x) = f(x) + f(x)
⇒ f(2x) = 2f(x)
Substituting y = 2
⇒ f(x + 2x) = f(x) + f(2x)
⇒ f(3x) = f(x) + 2f(x)
⇒ f(3x) = 3f(x)
Hence, we can say, f(ax) = a × f(x) ...(1)
Substituting a = 2020 and x = 1
⇒ f(2020) = 2020 × f(1)
⇒ 1 = 2020 × f(1)
⇒ f(1) = 1/2020
Now, putting x = 1 and a = 2021 in (1... | 4 | [
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KiKaBeN - Transformer’s Self-Attention
Transformer’s Self-Attention
Why Is Attention All You Need?
Transformer
Machine Translation
In 2017, Vaswani et al. published a paper titled Attention Is All You Need for the NeurIPS conference. The transformer architecture does not use recurrence or convolution. It solely rel... | 4 | [
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Research on paraboloid-shaped resonator of novel solid vibratory gyroscope
Abstract
Resonator is the core component of Solid Vibratory Gyroscope (SVG), its structure and vibration characteristics directly determine the gyro performance. A paraboloid-shaped resonator (PSR) with
characteristics of high-overload resistan... | 4 | [
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Group has Latin Square Property/Corollary
The Cayley table for any finite group is a Latin square.
Follows directly from the definition of both a Cayley table and a Latin square.
Let $G$ be a finite group whose order is $n$.
Let $\tuple {x_1, x_2, \ldots, x_n}$ be the elements of the underlying set of $G$ in the o... | 4 | [
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Eigenfrequencies
Eigenfrequencies of a Room
Introduction Post-processing and Visualization
Eigensystem Acoustic Model Analytical Eigenfrequencies/Eigenmodes of the Empty Room
Domain Nomenclature
Boundary Conditions References
Solve the PDE Model
Introduction
Acoustic resonanc... | 4 | [
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Averages: Finding the Missing Page Number
This concept is important for CAT and other MBA entrance exams.
One commonly asked question-type is where you are asked to determine the number of pages added twice/missed when the sum of pages is given.
Take a look at the following question.
A page is torn from a novel. Th... | 4 | [
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BA/OBA/SLG Algebra, pt. 1
This post is mathematical in nature and wholly unoriginal. All it does is walk through the algebraic relationships between BA, OBA, SLG and some other related metrics, with a little bit of my
commentary sprinkled in. I believe there is nothing here that I haven’t written about before, let alon... | 4 | [
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Use the ΔH°f and ΔH°rxn information provided to calculate ΔH°f
for IF: ΔH°f (kJ/mol) IF7(g) +...
Use the ΔH°f and ΔH°rxn information provided to calculate ΔH°f for IF: ΔH°f (kJ/mol) IF7(g) +...
Use the ΔH°f and ΔH°rxn information provided to calculate ΔH°f for IF: ΔH°f (kJ/mol) IF7(g) + I2(g) → IF5(g) + 2 IF(g)
ΔH°rx... | 4 | [
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MS Chequered Plate Weight Calculator Online
How to Calculate weight of a Chequered Plate
To calculate the weight of a chequered plate, you can follow these steps:
1. Determine the dimensions of the plate:
□ Measure the length (L) and width (W) of the chequered plate in millimeters (mm).
□ Note the thi... | 4 | [
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Interpreting the Microwave Spectra of Diatomic Molecules
Department of Chemistry, Saint Mary’s University, Halifax, NS B3H 3C3, Canada
Submission received: 3 January 2023 / Revised: 1 February 2023 / Accepted: 1 February 2023 / Published: 8 February 2023
Abstract
:
A brief review of the theory of the rigid rotor a... | 4 | [
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Volume 03, Issue 12 (December 2014)
Optimal Stabilizing Controller for Boiler Flow Control using Soft Computing Technique
DOI : 10.17577/IJERTV3IS120286
Download Full-Text PDF Cite this Publication
D. Aditya, Dr. M. Siva Kumar, 2014, Optimal Stabilizing Controller for Boiler Flow Control using Soft Computing Techn... | 4 | [
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n
Introduction
Disentangled representation learning is a promising path to facilitate reliable generalization to in- and out-of-distribution downstream tasks, on top of being more interpretable and fair (Bengio et
al. 2013, Higgins et al. 2018, Locatello et al. 2019,2020). While various metrics have been proposed to m... | 4 | [
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\]; make x as the subject of the formula. Hence, find the value of x, if 3m - 4n = 2 and n = 2.5.
Hint: Solve the given equation to find x in terms of m and n. Then, solve for m and n from the given equations and find them. Then, substitute these values of m and n in the given equation to solve
and find x.
Complete st... | 4 | [
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0.0556640625,
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Question: gradient in terms of sum set of indexed variables of sum defined in terms of those variables
Tags are words are used to describe and categorize your content. Combine multiple words with dashes(-), and seperate tags with spaces.
How does one take the gradient of a expression involving sums in terms of a set... | 5 | [
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Basic Electrical Engineering MCQs Part 18
Basic Electrical Engineering MCQs Part 17
If potential difference across conductor of material having resistivity ρ remains constant, then heat produced is proportional to:
If potential difference across conductor of material having resistivity ρ remains constant, then heat ... | 4 | [
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The Z-Score Definition, Formula, Real Life Examples (2020)
Z-Score Definition: The Z-Score also referred to as standardized raw scores (or simply standard score) is a useful statistic because not only permits to computation of the probability (chances or
likelihood) of the raw score (occurring within normal distributi... | 4 | [
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Average Speed Formula - How to Find Average Speed?
Average speed is a crucial factor to learn the time it takes to complete a journey. Average speed is essentially a mechanism that helps us calculate the rate of travel time and distance. It is
evident that the speed keeps on changing in the journey, making finding the... | 4 | [
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Assessment and comparison of likely density distributions in the cases of thickness measurement of skin tumours by ultrasound examination and histological analysis
Abstract
Ultrasonic diagnostic methods are used to estimate the structural changes and to measure parameters of lesions of the human tissue. Nowadays, the ... | 4 | [
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Applying Maths in the Chemical & Biomolecular Sciences
Questions 8 - 12#
Q8 bra-ket#
Using the bra-ket notation, work out the following matrix multiplications in the orthonormal basis of an s and two p orbitals \((|s\rangle,|p_x\rangle,|p_y\rangle)\), for the linear combination of
wavefunctions
\[\begin{split}\displ... | 4 | [
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Summary:
• You started with an investment of:$ on
• Your principal amount grew to:$ by
• Your total NET profit for the period was: $
Month Monthly Interest Total Interest Balance
There are many reasons to need a simple interest calculator. The idea of paying interest, which is actually a time-based fee, on ... | 4 | [
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Tutorial on Discrete Probability Distributions
Tutorial on discrete probability distributions with examples and detailed solutions.
Discrete Probability Distribution
Let X be a discrete random variable that takes the numerical values X1, X2, ..., Xn with probabilities p(X1), p(X2), ..., p(Xn) respectively. A discret... | 4 | [
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The Elements of Euclid; viz. the first six books,together with the eleventh and twelfth, with an appendix
ABCF, and from the same trapezium take the triangle EAB, which has been proved equal to the triangle *3 Ax. FDC; and the remainders are equal,* that is, the parallelogram ABCD is equal to the
... | 4 | [
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% Constants that we will need
% Speed of light
c = 299792458;
% Earth's rotation rate
omega_e = 7.2921151467e-5; %(rad/sec)
% load out data
data = load('rtcm_data.mat');
% Data is a cell array containing data about different RTCM messages. We
% are interested in 1002 and 1019
% msgs is a an array of message i... | 4 | [
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Three Wall Problem Example
Optimization Problems: Three Wall Rectangle Area Problems
Steps:
• Draw a related picture and label with the given information
... | 4 | [
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Posted inPERCENTAGE TRICKS
percentage short tricks for fast calculation
Percentage questions for SSC cgl
It is the most crucial chapter in maths. If you understand percentage basic or concept, you can easily manage your time in the exam. Here, we discuss various percentage problems and answer with quick
math shortc... | 4 | [
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Opinion Markets | Olas
The Opinion Markets within Olas serve as a platform where contributors offer diverse opinions and predictions on various subjects. The great weakness of traditional prediction markets in this sector
is that bettors are more incentivised to bet on what they believe the majority believes to be true... | 4 | [
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Novel nested saddle coils used in miniature atomic sensors
A novel uniform magnetic field coil structure with two pairs of saddle coils nested is proposed in order to minish the aspect ratio without losing much field uniformity, which is significant in
innovative miniature atomic instruments and sensors. Optimal config... | 4 | [
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None
Given:- Equilateral triangle ABC with each side a & AD as one of its altitudes To Prove :- 3 × Square of one side = 4 × square of one of it’s altitude ⇒ 3a2 = 4AD2 Proof:- In Δ ADB & Δ ADC AB = AC AD
= AD ∠ ADB=∠ ADC Hence ∆ ADB ≅ ∆ ADC Hence , BD = DC BD = DC = 1/2BC BD = DC = 𝑎/2 Now, ADB is a right angle trian... | 4 | [
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Calculating the Expected Return of a Single Note
Introduction
While monitoring the performance of an investment is a universal requirement in finance, Peer Lending creates unique challenges. We previously introduced general principles and how one can aggregate
returns at the portfolio level. This article focuses on t... | 4 | [
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Grams to Moles Calculator
Convert grams to moles and moles to grams using our g to mol conversion calculator below.
How to Convert Moles to Grams
Grams and moles are both units used in chemistry to measure matter in different ways. A gram is an SI unit of measurement for mass equal to 1/1,000 of a kilogram^[1], and ... | 4 | [
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Partnership Quiz for IBPS PO : Part-1
Directions (Q.1-4):
A person has 3 sons. He distributed his money among his sons equally. They invested 1,44,000 , 1,52,000 and 1,32,000 Rs. in a business respectively. At the end of 1st quarter they earn a profit
of 37450.
They donated 20% of their profit and rest ... | 4 | [
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Commiting to a Fitness Challenge and Then Figuring Out if it is Achievable
My favourite spin studio has put on a fitness challenge for 2019. It has many components, one of which is improving your performance by 3% over six weeks. I’ve taken on the challenge and am now
worried that I don’t know how reasonable this incr... | 4 | [
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Enterohepatic circulation model
Enterohepatic circulation (EHC) occurs when drugs circulate from the liver to the bile in the gallbladder, followed by entry into the gut when the bile is released from the gallbladder, and
reabsorption from the gut back to the systemic circulation. The presence of EHC results in longe... | 5 | [
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Reconstruction Through Two-Channel Filter Banks
Main Content
Reconstruction Through Two-Channel Filter Banks
This example shows how to design perfect reconstruction two-channel filter banks, also known as the Quadrature Mirror Filter (QMF) banks. The QMF banks use power complementary filters.
There are several digit... | 4 | [
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Understanding the Michaelis-Menten Equation and Its Applications in Enzyme Kinetics
If you found this summary useful, consider buying us a coffee. It would help us a lot!
Introduction
The Michaelis-Menten equation is fundamental in understanding enzyme kinetics, as it establishes a critical relationship between... | 4 | [
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Systems of Differential Equations
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 landscap... | 5 | [
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Interpreting A/B Test using Python
Suppose we ran an A/B test with two different versions of a web page, \(a\) and \(b\), for which we count the number of visitors and whether they convert or not. We can summarize this in a
contingency table showing the frequency distribution of the events:
Not converted (\(f\)... | 5 | [
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Reading Motor Temperature Data
Reading Motor Temperature Data
Reading Raw Temperature Data
Each temperature sensor outputs an integer raw value whose range depends on the type of resistance thermometer mounted on the motor. Currently, we can configure 2 types of sensors: PT100 and PT1000.
For PT100, raw values ty... | 4 | [
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"The Coconut Problem" Updated With Solution | Fundamentals of Mathematics and Physics
“The Coconut Problem” Updated With Solution
This is a famous old problem. I shall just state the problem here for you, and will follow up in a day or two with a solution and some of its amusing history. Update: Scroll down for a
stra... | 5 | [
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Factor
factorTwoPoseSE2
Factor relating two SE(2) poses
Since R2022a
Description
The factorTwoPoseSE2 object contains factors that relate pairs of poses in the SE(2) state space for a factorGraph object.
Creation
Description
F = factorTwoPoseSE2(nodeID) creates a factorTwoPoseSE2 object, F, with the node identi... | 4 | [
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0.00555... | 13,701,054 | 13701054 | |
How do you find the mean, median and mode of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10? | Socratic
How do you find the mean, median and mode of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10?
1 Answer
$\overline{x} = 5.5$
$\text{median} = 5.5$
No mode.
Explanation:
Recall that the mean ($\overline{x}$) of a data set is the sum of its terms div... | 4 | [
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Implicit Function - Definition, Formula, Differentiation of Implicit Function, Examples, FAQs
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 n... | 5 | [
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Rocket Thrust Calculator
Last updated:
Rocket Thrust Calculator
New
The rocket thrust calculator uses Newton's third law and calculates the net rocket propulsion, taking into account the pressure difference between the ambient pressure and the pressure at the rocket
nozzle. You can use this calculator not only for r... | 4 | [
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1. Choose the correct option.
i) A gas in a closed container is heated with 10J of energy, causing the lid of the container to rise 2m with 3N of force. What is the total change in energy of the system?
(A) 1 OJ
(B) 4J
(C) -1 OJ
(D) – 4J
ii) Which of the following is an example of the first law of thermodynamics... | 5 | [
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0.0859375,
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KiKaBeN - BLEU (Bi-Lingual Evaluation Understudy)
BLEU (Bi-Lingual Evaluation Understudy)
How do we evaluate a machine translation with reference sentences?
The article reviews the paper BLEU: a Method for Automatic Evaluation of Machine Translation.
Human evaluations of machine translation (MT) requires skilled spe... | 5 | [
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0.040283203125,
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Uncommon answers: deposit sizes, lazy strategies, and peer prediction
The Kleros protocol has been designed to incentivize jurors to expend time and effort to analyze subjective cases that can sometimes be complex. In particular, it is important that the protocol
penalizes "lazy strategies", namely juror voting strate... | 4 | [
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1.4 How derivatives and integrals relate to one another in Calculus
First, let us review some of the properties of differentials and derivatives, referencing the expression and graph shown below:
• A differential is an infinitesimal increment of change (difference) in some continuously-changing variable, represented... | 4 | [
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How do I evaluate int_1^4sqrt(t) \(5 + 2 t) dt? | HIX Tutor
How do I evaluate #int_1^4sqrt(t) \(5 + 2 t) dt#?
Answer 1
I would expand the argument as:
#int_1^4sqrt(t)*5+sqrt(t)*2tdt=#
I can now separate the integrals, as:
#int_1^4sqrt(t)*5dt+int_1^4sqrt(t)*2tdt=#
Remembering that #sqrt(t)=t^(1/2)# and the rules t... | 5 | [
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0.000... | 13,701,062 | 13701062 | |
10.5 Solve Exponential and Logarithmic Equations - Intermediate Algebra | OpenStax
By the end of this section, you will be able to:
• Solve logarithmic equations using the properties of logarithms
• Solve exponential equations using logarithms
• Use exponential models in applications
Before you get started, tak... | 4 | [
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Exponent rules
The quantities are expressed in exponential notation in mathematics for some reasons. For doing some mathematical activities with exponential functions, the fundamental formulas of mathematics may
not be useful. Hence, it requires some special properties and they are called the rules of exponents. Now, ... | 4 | [
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Following Curved Regularized Optimization Solution Paths
Part of Advances in Neural Information Processing Systems 17 (NIPS 2004)
Authors
Saharon Rosset
Abstract
Regularization plays a central role in the analysis of modern data, where non-regularized fitting is likely to lead to over-fitted models, useless for bo... | 4 | [
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None
As a belated celebration of pi-day, here's a short routine to calculate the Inverse Gamma function (positive arguments only) -
Simply using Newton's method and the SandMath, it doesn't get any shorter - and on the CL it quickly converges after a few iterations... worth seeing it in action!
01 LBL "IGMMA"
0... | 5 | [
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0.0150... | 13,701,066 | 13701066 | |
In geometry, a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve. This means that the defining equation
is factorable over the complex numbers (or more generally over an algebraically closed field) as the product of two linea... | 4 | [
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Unsteady Magnetohydrodynamic Boundary Layer Flow near the Stagnation Point towards a Shrinking Surface
Unsteady Magnetohydrodynamic Boundary Layer Flow near the Stagnation Point towards a Shrinking Surface ()
1. Introduction
Stagnation flow of an incompressible viscous fluid over a shrinking sheet has many important ... | 4 | [
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Out of Sorts
Hide
Problem A
Out of Sorts
Ann Logan is fascinated with finite sequences of integers. She is particularly interested in sequences of the form $x_1, x_2, \ldots , x_ n$ where:
• $x_{i} = (ax_{i-1}+c)\mod m$,
• $n$, $m$, $a$, and $c$ are positive integer constants,
• $x_0$ is a non-negative integ... | 5 | [
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Bound States, Physics tutorial
Introduction to Bound States:
You would remind that a body in the simple harmonic motion bounces backward and forward between the two points where the total or net mechanical energy, 'E', of the body is equivalent to the
potential energy. As the kinetic energy becomes zero, the body sho... | 4 | [
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Geomean: Excel Formulae Explained - ExcelAdept
Key Takeaway:
• GEOMEAN is a statistical function in Excel that calculates the geometric mean of a set of numbers. It is commonly used in financial analysis and growth rate calculations to account for
compounding effects.
• The GEOMEAN function in Excel can be use... | 4 | [
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-... | 13,701,071 | 13701071 | |
Reinforcement Learning 2 - Solving MDP Problems with Dynamic Programming (Policy Iteration and Value Iteration) - Moment For Technology
In the last article, reinforcement learning 1 — Reading Markov Decision Process MDP introduced Markov process, this paper will introduce how to use dynamic programming method to solve.... | 5 | [
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Approximating Earth as a sphere
Isaac Newton suggested in 1687 that the earth is not a perfectly round sphere but rather an ellipsoid, and he was right. But since our planet is roughly a sphere, it’s often useful to approximate it
by a sphere. So if you’re going to do that, what radius do you use? More generally, wha... | 5 | [
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0.0125122070312... | 13,701,073 | 13701073 | |
Are you looking to calculate a percentile in Excel?
Well, you’re in the right place.
To calculate a percentile in Excel, you can use the PERCENTILE.INC function for inclusive calculations or PERCENTILE.EXC for exclusive calculations. The syntax is PERCENTILE.INC(array, k) or
PERCENTILE.EXC(array, k), where array is ... | 4 | [
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0.01098632... | 13,701,074 | 13701074 | |
calculate the degree of ionisation of codeine (sho - Asksia.ai
Chemistry
Posted 5 months ago
calculate the degree of ionisation of codeine (shown below), in the stomach ( $\mathrm{pH}=2)$ and the intestine $(\mathrm{pH}=8)$. With regards to the ADME process, describe how the degree of ionisation of codeine will affec... | 4 | [
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-0.0300... | 13,701,075 | 13701075 | |
WOLFRAM
Re: Simplyfing Sum[Mod[f(k),y],{k,k0,n}] type expressions? (Newbie question)
• To: mathgroup at smc.vnet.net
• Subject: [mg40224] Re: [mg40202] Simplyfing Sum[Mod[f(k),y],{k,k0,n}] type expressions? (Newbie question)
• From: Dr Bob <drbob at bigfoot.com>
• Date: Wed, 26 Mar 2003 02:43:58 -0500 (EST)
... | 5 | [
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... | 13,701,076 | 13701076 | |
Notes - DAA HT23, Heaps
Flashcards
What is the “height” of a tree?
The longest downward path to a leaf.
What is the maximum possible height of a tree with $n$ nodes (in the most general case)?
\[n-1\]
What is the height of a binary heap with $n$ nodes?
\[\lfloor \log_2 n\rfloor\]
What is the max-heap property of... | 5 | [
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0.044677734375,
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-0.00012302398681640625,
0.058837890625,
-0.... | 13,701,077 | 13701077 | |
Point A is at (4 ,2 ) and point B is at (3 ,1 ). Point A is rotated pi/2 clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed? | Socratic
Point A is at #(4 ,2 )# and point B is at #(3 ,1 )#. Point A is rotated #pi/2 # clockwise about the or... | 4 | [
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-0.036865234375,
0.07421875,
-0.0240478515625,
-0.02514... | 13,701,078 | 13701078 | |
None
Solution
This time, there was no perfect solutions. Therefore, it was not easy to determine the best ones. Below, the solutions are provided together with motivations why bonus points were (or were not)
given.
Let us start with the solution of Alexandra Vasileva. Part A:
Here, the geometrical optics part is cle... | 5 | [
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How to calculate wave energy
Table of Contents
Definition
Wave energy is the energy produced by wind waves in the oceans and sea due to the motion of water. A machine that can harvest wave energy is called a WEC (Wave Energy Converter).
Waves are formed due to the interaction between the wind passing over the surf... | 4 | [
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An Empirical Model for Backscattering Coefficients of Vegetation Fields at 5.4 GHz
Article information
J. Electromagn. Eng. Sci. 2022;22(2):146-151
Received 2020 November 30; Revised 2021 July 7; Accepted 2021 July 14.
Abstract
A new, simple empirical model for microwave backscattering from vegetation fields at 5.... | 4 | [
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nt
Students can download Maths Chapter 4 Geometry Ex 4.1 Questions and Answers, Notes, Samacheer Kalvi 10th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps
students complete homework assignments and to score high marks in board exams.
Tamilnadu Samacheer Kalvi 10th Maths Solu... | 4 | [
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Blog
Standard deviation is a mathematical measure that is used to represent the variation of the data around the mean or average of the given data set. For the representation of the data use the graph,
this graph is known as the standard deviation graph. This graph visualizes the spread of data effectively.
Two types ... | 4 | [
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-0.052978515625,
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TI-83, TI-83+, TI-84,
Quick-and-Dirty Guide to the TI-83, TI-83+, TI-84, and TI-84+
To the left is a picture of a TI-83 calculator. (The TI stands for Texas Instruments.) The TI-83 "Plus", TI-84, and TI-84 "Plus" are almost identical, so this guide... | 5 | [
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... | 13,701,084 | 13701084 | |
A ball with a mass of 6 kg moving at 3 m/s hits a still ball with a mass of 8 kg. If the first ball stops moving, how fast is the second ball moving? | Socratic
A ball with a mass of #6 kg# moving at #3 m/s# hits a still ball with a mass of #8 kg#. If the first ball stops moving, how fast is the second ball moving?
2 ... | 4 | [
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0.039794921... | 13,701,085 | 13701085 | |
and
$$\notag \newcommand{\E}{\mathbb{E}} \newcommand{\I}{\mathbb{I}} \newcommand{\N}{\mathcal{N}} \newcommand{\bm}{\mathbf{m}} \newcommand{\bmu}{{\boldsymbol{\mu}}} \newcommand{\bx}{\mathbf{x}} \
newcommand{\by}{\mathbf{y}} \newcommand{\bz}{\mathbf{z}} \newcommand{\g}{\,|\,} \newcommand{\intd}{\;\mathrm{d}} \newcommand... | 5 | [
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Tumor Modeling and Microwave Heating for Increasing Oxygen in Tumors during Photodynamic Therapy
Abstract
Tumor destruction due to Photodynamic Therapy (PDT) is mainly governed by the amount of molecular oxygen present in the tumor. Oxygen is one of the rate-limiting factors in PDT. This rate-limiting
factor always m... | 4 | [
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le
This module contains classes and procedures for computing various statistical quantities related to the Uniform Spherical distribution. More...
This module contains classes and procedures for computing various statistical quantities related to the Uniform Spherical distribution.
Specifically, this module contains ... | 4 | [
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Angles Opposite to Equal Sides of an Isosceles Triangle are Equal
Here we will prove that in an isosceles triangle, the angles opposite to the equal sides are equal.
Solution:
Given: In the isosceles ∆XYZ, XY = XZ.
To prove ∠XYZ = ∠XZY.
Construction: Draw a line XM such that it bisects ∠YXZ and meets the side YZ a... | 4 | [
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Notes - Rings and Modules HT24, Smith normal form
Flashcards
Can you state the “Smith normal form” theorem?
Suppose:
• $R$ is a Euclidean domain
• $A \in \text{Mat} _ {n,m}(R)$
Then:
• $A \sim D _ k$, where $k = \min(n, m)$ and
\[D_k = \begin{bmatrix} d_1 & 0 & \cdots & 0 & \cdots & 0 \\\\ 0 & d_2 & \ddots... | 4 | [
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Standardized Differences
This vignette provides a review of effect sizes for comparisons of groups, which are typically achieved with the t.test() and wilcox.test() functions.
Standardized Differences
For t-tests, it is common to report an effect size representing a standardized difference between the two compared sa... | 5 | [
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METHOD FOR ELLIPTIC CURVE CRYPTOGRAPHY WITH COUNTERMEASURES AGAINST SIMPLE POWER ANALYSIS AND FAULT INJECTION ANALYSIS AND SYSTEM THEREOF
METHOD FOR ELLIPTIC CURVE CRYPTOGRAPHY WITH COUNTERMEASURES AGAINST SIMPLE POWER ANALYSIS AND FAULT INJECTION ANALYSIS AND SYSTEM THEREOF
There are provided a method for elliptic ... | 4 | [
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How to Use the Limit Comparison Test to Determine Whether a Series Converges - dummies
The idea behind the limit comparison test is that if you take a known convergent series and multiply each of its terms by some number, then that new series also converges. And it doesn’t matter
whether the multiplier is, say, 100, o... | 5 | [
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Principal Component Analysis
The most rewarding part of our job at Element is to be able to help customers with their analytical problems. Sometimes that means recommending a different column, or a change in the method
parameters. On other occasions we are asked to help with data processing and interpretation. This tas... | 4 | [
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7.2 - Least Squares: The Idea
7.2 - Least Squares: The Idea
Example 7-1
Before delving into the theory of least squares, let's motivate the idea behind the method of least squares by way of example.
A student was interested in quantifying the (linear) relationship between height (in inches) and weight (in pounds), ... | 5 | [
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Electronic systems are widely used by humans nowadays in all aspects of daily life. Today, there is no living for humans on Earth without any electronic products. High Speed, Low Power, and Low Area
Electronic Systems are what the current generation needs. In digital systems, a variety of arithmetic circuits are emplo... | 4 | [
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Inertial Frame Dragging and Relative Rotation of ZAMOs in Axistationary Asymptotically Flat Spacetimes
Department of Computer Science, OsloMet—Oslo Metropolitan University, NO-0130 Oslo, Norway
Submission received: 8 January 2023 / Revised: 15 February 2023 / Accepted: 23 February 2023 / Published: 26 February 2023
... | 4 | [
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Derivatives in Higher Dimensions
• MHB
• Thread starter joypav
• Start date
In summary, according to Munkres, if a neighborhood of a point exists in an R^n space, then the function $f$ is differentiable there.
Looking at Munkres "Analysis on Manifolds", it says for $A\subset R^n, f: A \rightarrow R^m$ suppose ... | 5 | [
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Factor Polynomials — Common Factor
Lesson Video: Factor Polynomials — Common Factor Mathematics
Through a series of walk-throughs of examples, learn how to look for the greatest common factors of terms in a polynomial expression. We consider the numbers in the coefficients and constant terms
and the variables themselv... | 4 | [
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