content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
How do you solve 8^(x-y)=3^x and 8^y=2^(x-3)? | HIX Tutor
How do you solve #8^(x-y)=3^x# and #8^y=2^(x-3)#?
Answer 1
$x = \log \frac{8}{\log \left(\frac{3}{4}\right)} , y = \frac{\log \frac{8}{\log \left(\frac{3}{4}\right)} - 3}{3}$
From #8^y =2^{x-3}# knowing that #8 = 2^3# we can write #2^{3y} = 2^{x-3}# so we con... | 5 | [
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point pairs
Estimate Geometric Transformation
Estimate geometric transformation from matching point pairs
Libraries:
Computer Vision Toolbox / Geometric Transformations
Description
Use the Estimate Geometric Transformation block to find the transformation matrix which maps the greatest number of point pairs betwe... | 4 | [
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Biot-Savart Law
The Biot-Savart Law is an equation describing the magnetic field generated by a constant electric current. It relates the magnetic field to the magnitude, direction, length, and proximity of the
electric current. Biot–Savart law is consistent with both Ampere’s circuital law and Gauss’s theorem. The B... | 4 | [
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Hamilton–Jacobi–Bellman equation - Wikipedia
The Hamilton-Jacobi-Bellman (HJB) equation is a nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function.^
[1] Its solution is the value function of the optimal control problem which... | 4 | [
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How To Connect Solar Panels Together to Increase Power?
Updated: Mar 22, 2023
Connecting Solar Panels Together
The trick here when connecting solar panels together is to choose a connection method that is going to give you the most energy efficient configuration for your particular requirements.
Connecting solar pa... | 4 | [
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Foundation
Date of the Problem
August 05, 2024
Veronica bought a tent for her camping trip this weekend. The shape of the tent is a right triangular prism lying on its side, as shown. (The front and back sides of the tent, which are the prism's
bases, are isosceles triangles.) If the height of the tent is 6 feet at ... | 4 | [
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ManPag.es -
ssytd2.f
NAME
ssytd2.f −
SYNOPSIS
Functions/Subroutines
subroutine SSYTD2 (UPLO, N, A, LDA, D, E, TAU, INFO)
SSYTD2 reduces a symmetric matrix to real symmetric tridiagonal form by an orthogonal similarity transformation (unblocked algorithm).
Function/Subroutine Documentation
subroutine SSYTD2 (cha... | 4 | [
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40. [Hypothesis Testing for the Difference of Two Independent Means] | Statistics | Educator.com
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while
watching the lecture.
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Implement Fuzzy PID Controller in Simulink
This example shows how to implement a fuzzy inference system (FIS) for nonlinear PID control and how to convert that FIS to a lookup table.
A fuzzy inference system (FIS) maps given inputs to outputs using fuzzy logic. For control applications, typical FIS inputs are the err... | 5 | [
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Rate of Change Formula - What it is + Examples - Grade Potential Los Angeles, CA
Rate of Change Formula - What Is the Rate of Change Formula? Examples
Rate of Change Formula - What Is the Rate of Change Formula? Examples
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How do you solve the quadratic equation by completing the square: x^2+8x-2=0? | HIX Tutor
How do you solve the quadratic equation by completing the square: #x^2+8x-2=0#?
Answer 1
#color(green)(x = sqrt 18 - 4# or # color(green)(x = -sqrt 18 -4#
#x^2 + 8x = 2#
We add 16 to both sides in order to write the Left Hand ... | 4 | [
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LC Circuit
LC Circuit
Consider an electrical circuit consisting of an inductor, of inductance , connected in series with a capacitor, of capacitance . See Figure 1.6. Such a circuit is known as an LC circuit, for obvious
reasons. Suppose that is the instantaneous current flowing around the circuit. According to stand... | 4 | [
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Making code faster by splitting and use of supercomputer
Making code faster by splitting and use of supercomputer
Please refer to my question at the following link:
https://ask.sagemath.org/question/633...
There John Palmieri has written a very good code. As the output is huge and hence time-taking(No output even f... | 4 | [
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Differentiab
Jump to navigation Jump to search
In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain. As a result, the graph of a differentiable
function must have a (non-vertical) tangent line at each point in its domain... | 4 | [
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External Division Formula | Learn and Solve Questions
The line segment is divided into two pieces by a point, which may or may not be equal. We are able to determine the ratio by which the provided line segment is divided if we are aware of the point's
coordinates.
What is the Section Formula?
The coordinates of a p... | 4 | [
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TOC | Previous | Next | Index
41.7 Pearson's Chi-Square Test (.NET, C#, CSharp, VB, Visual Basic, F#)
NMath Stats provides class PearsonsChiSquareTest for performing Pearson's chi-square test. Pearson's chi-square test is the most well-known of the chi-square tests, which are statistical procedures
whose results are... | 5 | [
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Yet Another Math Programming Consultant
Work in progress. This is automatically generated from compiled GAMS code. Part of a documentation tool to generate documentation for very large models.
The different coloring of decision variables and parameters can help understanding the equations. In this case x is a paramete... | 4 | [
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Plane and Solid Geometry
Ex. 107. If an arm of an isosceles triangle is produced by its own length through the vertex, and the end of the prolongation is joined to the nearest end of the base, the line joining is
perpendicular to the base. Ex. 108. The bisectors of t... | 4 | [
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Differential Privacy: A Primer
Differential Privacy (DP) is a mathematical framework that protects individual privacy in data analysis while allowing useful insights to be extracted. It works by adding carefully calibrated noise
to data or query results, ensuring that including or excluding any single individual's data... | 5 | [
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Balance equations
Outline
Topics
• Global balance (synonym: invariance)
• Detailed balance (synonym: time-reversibility)
Example
We continue our eccentric tourists example…
Question: which travelling scheme(s) are \(\pi\)-invariant?
Intuition: \(\pi\)-invariance in this context just means the fraction of tour... | 5 | [
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Set Subtraction Argument for Infinite Twin Primes
1. Preliminaries
• Sets A and B: Define sets A and B, representing prime candidates based on their remainders when divided by 6:
□ A = {6k – 1 | k ∈ ℤ}
□ B = {6k + 1 | k ∈ ℤ}
• Twin Primes: Twin primes are pairs (p, p+2) where both p and p+2 are prime ... | 4 | [
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Fourier Analysis
Non-Harmonic Periodic Forcing Functions: Fourier Analysis
To this point we have only considered harmonic forcing functions (e.g. sine). These are examples of periodic functions since they repeat themselves after a specific period of time. However, harmonic
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Molecular Collisions (How Far, How Fast, How Long)
Mean Free Path
The mean free path is the distance that a molecule travels between collisions.
The mean free path is determined by the criterion that there is one molecule within the "collisio... | 4 | [
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of Neutrons and
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
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Find whether an array is a subset of another array - Interview Problem
Difficulty Level : Medium
Understanding the problem
Problem Description : Given two integer array A[] and B[] of size m and n(n <= m) respectively. We have to check whether B[] is a subset of A[] or not. An array B is a subset of another arra... | 5 | [
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Understanding the Rank of a Matrix: A Comprehensive Guide - Tamil Print2
Understanding the Rank of a Matrix: A Comprehensive Guide
The concept of the rank of a matrix is a fundamental topic in linear algebra that plays a crucial role in various applications, from engineering to data science. In this article, we’ll exp... | 4 | [
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For what values of x is f(x)= 7x^3 + 2 x^2 + 7x -2 concave or convex? | Socratic
For what values of x is #f(x)= 7x^3 + 2 x^2 + 7x -2 # concave or convex?
1 Answer
Concave down for $x < - \frac{2}{21}$, concave up for $x > - \frac{2}{21}$
Explanation:
First, we can try to find inflection points for this function. A... | 5 | [
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Current Ratio - Important 2021
Current Ratio
Current Ratio
Current Ratio:
The current ratio is a ratio between current assets and current liabilities of a business enterprise.
The current ratio establishes a relationship between current assets and current liabilities of a firm for a particular period.
Current Ratio ... | 4 | [
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True or false? consider a random sample of size n from an x
True or false? Consider a random sample of size n from an x distribution. For such a sample, the margin of error for estimating μ is the magnitude of the difference between x and μ.
False. By definition, the margin of error is the magnitude of the differenc... | 5 | [
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-0.109375,
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0.0471... | 13,707,128 | 13707128 | |
How do we use Rolle's Theorem to find whether function f(x)=4x^2-8x+7 has a point where f'(x)=0 in the interval [-1,3]? | Socratic
How do we use Rolle's Theorem to find whether function #f(x)=4x^2-8x+7# has a point where #f'(x)=0# in the interval #[-1,3]#?
1 Answer
$x = 1$, for details please see below.
Explanation:... | 4 | [
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Global stability of discrete dynamical systems via exponent analysis: applications to harvesting
(1)
Global stability of discrete dynamical systems via exponent analysis: applications to harvesting
population models
Daniel Franco
^1
, Juan Perán
^B^1
and Juan Segura
^1,2
1Departamento de Matemática Aplicada, E... | 4 | [
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How to Convert Radians to Degrees?
Fluently translating between the radians and degrees measurement systems is an indispensable skill for conquering trigonometry, calculus and physics. While angles in degrees denote fractional parts
of a full 360° rotation, angles measured in radians equate arc length to radius length... | 4 | [
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A Novel Fast Multiple-Scattering Approximate Model for Oceanographic Lidar
^1
State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, Ministry of Natural Resources, 36 Bochubeilu, Hangzhou 310012, China
^2
Key Laboratory of Space Active Opto-Electronics Technology, Shanghai I... | 4 | [
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Von Neumann's Trace Inequalities
Trace inequality is important for matrix analysis. In this post we first discuss Von Neumann’s trace inequality and another related one, which can be viewed as a slightly more detailed version of the
trace inequality Wiki page. Then we prove a related trace inequality for general Hermit... | 5 | [
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Dilation of tangent curves | NCEA Level 2 Maths | NZ Level 7 (NZC) Level 2 (NCEA)
In an earlier chapter, the effect of multiplying a function by a constant was explained. In the case of the sine and cosine functions, we saw that the constant $a$a in $a\sin x^\circ$asinx° or $a\cos
x^\circ$acosx° gave the amplitude of t... | 4 | [
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Structure modal identification based on computer vision technology
Abstract
Mobile phones have the potential to become useful tool in structural modal identification. In this paper, shaking table test videos of a 10-story steel structure captured by mobile phone is processed
using computer vision theory and then the m... | 4 | [
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How many three digit numbers are divisible by 7? [Ex 5.2, 13 - AP]
Ex 5.2, 13 - Chapter 5 Class 10 Arithmetic Progressions
Last updated at April 16, 2024 by Teachoo
Transcript
Ex 5.2, 13 How many three digit numbers are divisible by 7 Numbers divisible by 7 are 7, 14, 21, 28, …….. Lowest 3 digit number 100/7 = 142/7... | 4 | [
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0.0235595703125... | 13,707,136 | 13707136 | |
Respecting your Local Preferences — EA Forum
In this post, I give a application of geometric rationality to a toy version of a real problem.
A Conflicted Agent
Let's say you are an agent with two partially conflicting goals. Part of you wants to play a video game, and part of you wants to save the world and tile the ... | 4 | [
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Electric Current Dependent Fracture in GaN Piezoelectric Semiconductor Ceramics
^1
School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, Henan, China
^2
School of Civil and Mechanical Engineering, Curtin University, Perth, WA 6845, Australia
^3
School of Mechanical Engineering, Zhen... | 4 | [
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The hazard of fragments in accidental H2-air explosions
(1)
www.usn.no
Faculty of Technology, Natural sciences and Maritime Sciences
FMH606 Master's Thesis 2021 Energy and Environmental Technologies
The hazard of fragments in accidental H2-air explosions
Maulen Yerbolatov
(2)
www.usn.no
The University of South-... | 4 | [
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Triangles, and Geometry in general, are something you need to master as much as you can before your GMAT exam. It can seem complicated in the beginning, but once you start working with different
geometric objects and its shapes, thing will definitely get easier. The topic of this article is similar triangles. One of t... | 4 | [
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How do you graph 12y^2-25x^2=300 and identify the foci and asympototes? | Socratic
How do you graph #12y^2-25x^2=300# and identify the foci and asympototes?
1 Answer
The foci are $\left(0 , 3 \sqrt{3}\right)$ and $\left(0 , - 3 \sqrt{3}\right)$
The asymptotes are $y = \frac{5}{2 \sqrt{3}} \left(x\right)$ and $y = - \... | 4 | [
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Dinic - The Algorithms
INF = float("inf")
class Dinic:
def __init__(self, n):
self.lvl = [0] * n
self.ptr = [0] * n
self.q = [0] * n
self.adj = [[] for _ in range(n)]
"""
Here we will add our edges containing with the following parameters:
vertex closest to source, ver... | 4 | [
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0.... | 13,707,142 | 13707142 | |
RD Sharma Solutions Class 7 Chapter 16 Congruence
Exercise 16.1
Question :1. Explain the concept of congruence of figures with the help of certain examples.
Solution 1:
Congruent objects or figures are identical replicas of one another, or mirror images of one another. Congruence is the property of two things b... | 4 | [
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How to
How to do multistart optimizations#
Sometimes you want to make sure that your optimization is robust to the initial parameter values, i.e. that it does not get stuck at a local optimum. This is where multistart comes in handy.
What does multistart (not) do#
In short, multistart iteratively runs local optimiz... | 5 | [
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I recently stumbled upon the Postage Stamp Problem. Given two relatively prime positive numbers a and b, show that any sufficiently large number N, there exists positive integers x and y such that
ax + by = N.
I initially missed the constraint that x and y must be positive, in which result is well known (Bézout’s le... | 5 | [
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313: Sliding game
<< problem 310 - Nim Square Digital root clocks - problem 315 >>
Problem 313: Sliding game
(see projecteuler.net/problem=313)
In a sliding game a counter may slide horizontally or vertically into an empty space.
The objective of the game is to move the red counter from the top left corner of a g... | 5 | [
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Combining good ideas to get the best solution
Trade-offs are present in all our activities. Maybe you have heard the so-called "No free lunch theorem" in Machine Learning. The theorem states that there is no silver bullet when it comes to
machine learning models, but in fact, there is never a silver bullet when it com... | 4 | [
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How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of gestation. The distribution of birth weights (in grams) for late-preterm babies is approximately N(2750, 560).1. What is the probability that a randomly chosen late-preterm baby would have a low... | 5 | [
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(1+i)^12
Exploring (1 + i)^12: A Journey into Complex Numbers
The expression (1 + i)^12 might seem daunting at first glance, but it offers a fascinating exploration into the world of complex numbers. Let's break down how to calculate this and uncover its
intriguing properties.
Understanding Complex Numbers
Complex n... | 5 | [
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Introduction to SIBER
Andrew L Jackson
2023-10-19
SIBER introduction and guide
This user manual introduces the basic functionality of this standalone version of SIBER, which was historically part of the siar package. Note that siar itself is now obsolete and instead you should
look to the related packages mixsiar a... | 4 | [
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R
Revision #1 to TR07-039 | 28th May 2008 00:00
Smoothed Analysis of Binary Search Trees and Quicksort Under Additive Noise
Abstract:
Binary search trees are a fundamental data structure and their height plays a key role in the analysis of divide-and-conquer algorithms like quicksort. We analyze their smoothed heigh... | 4 | [
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Overview of main functions
Objective
This vignette demonstrates three major functions in the brokenstick package: brokenstick(), predict() and plot(). We also need dplyr and ggplot2.
For more elaborate documentation, see the manual.
Plot trajectories
The smocc_200 data in the brokenstick package contain the height... | 5 | [
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How do you find the derivative of 1/(x^2) - 1/x? | Socratic
How do you find the derivative of #1/(x^2) - 1/x#?
1 Answer
$- \frac{2}{x} ^ 3 + \frac{1}{x} ^ 2$
Explanation:
This can be done with the quotient rule, but the easiest thing to do is to first rewrite:
$\frac{1}{x} ^ 2 - \frac{1}{x} = {x}^{- 2} - {x}^{- 1}... | 5 | [
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es
Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
Ajuda do Scilab >> Estatística > Data with Missing Values > nand2mean
nand2mean
difference of the means of two independent samples
Calling Sequence
[dif]=nand2mean(samp... | 5 | [
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5 Best Ways to Integrate a Polynomial in Python
💡 Problem Formulation: When dealing with polynomials in numerical analysis or scientific computing, it is often required to integrate these functions over a certain interval. In Python, there are
multiple ways to approach polynomial integration. For instance, given a p... | 5 | [
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NCERT Solutions for Class 9 Maths Chapter 12 - Exercise 12.2 Heron’s Formula
Application of Heron's Formulas in Finding Areas of Quadrilaterals
Many fields are in the shape of quadrilaterals. Similarly, various surfaces are polygons. To find their areas, we divide the surface into triangular parts and then use Heron’s... | 4 | [
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Two Sample T-Hypothesis Test and its importance in Six Sigma - SixSigma.us
Two Sample T-Hypothesis Test and its importance in Six Sigma
We cannot undermine the contribution of statistics in successful Six Sigma projects. In this article, we will discuss one of the most commonly used statistical tests in the Six Sigma ... | 5 | [
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-0.00933837890625,
-0.0595703125,
-0.01318359375,
0.022705078125,
-0.0185546875,
0.16796875,
0.03662109375,
0.023193359375,
-0.008544921875,
0.0164794921875,
-0.032958984375,
-0.057861328125,
0.038818359375,
-0.0322265625,
0.03564453125,
-0.0223388... | 13,707,157 | 13707157 | |
Generic ML Concepts
Cross-Validation
Allows us to compare different ML methods! When working with a dataset for training a learner:
• Naive Idea → Use all data
• Better Idea → Use x percent for training and y percent for testing
the issue is how do we know that the selection is good ? The lord answers through K-... | 4 | [
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0.12158203125,
... | 13,707,158 | 13707158 | |
Calculating Kanban levels with Safety Stock and Buffer Stock
Kanban - Pull System
A search on the web will yield numerous Kanban card calculations for a pull system. There are many that are correct and many that are incorrect. The calculation can become very confusing quickly.
There are also different formulas for dif... | 5 | [
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0.036376953125,
0.004211425... | 13,707,159 | 13707159 | |
Consider the difference of squares 2 2 for integers-Turito
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Question
Consider the difference of squares 𝑎^2 − 𝑏^2 for integers 𝑎 and 𝑏. Make a table for the difference of squares using consecutive integers for 𝑎 and 𝑏. What pattern do you notice? Using the pattern
find the pair ... | 4 | [
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-0.045654296875,
0.02026367... | 13,707,160 | 13707160 | |
Lewis Carroll — A Tangled Tale — ANSWERS TO KNOT VIII.
ANSWERS TO KNOT VIII.
§ 1. The Pigs.
Problem.—Place twenty-four pigs in four sties so that, as you go round and round, you may always find the number in each sty nearer to ten than the number in the last.
Answer.—Place 8 pigs in the first sty, 10 in the second, ... | 4 | [
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-0.053466796875,
-0.0400390625,
0.02... | 13,707,161 | 13707161 | |
Parabola Formula | Equation, Properties, Examples
Equation, Properties, Examples | Parabola Formula
The parabola is an attractive and multifaceted geometric shape that managed to captured the attention of scientists and mathematicians for hundreds of years. Its unique properties and unsophisticated
yet exquisite equa... | 4 | [
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... | 13,707,162 | 13707162 | |
Principles of Macroeconomics 2e, The Macroeconomic Perspective, Adjusting Nominal Values to Real Values
Adjusting Nominal Values to Real Values
Overview
By the end of this section, you will be able to:
• Contrast nominal GDP and real GDP
• Explain GDP deflator
• Calculate real GDP based on nominal GDP values
... | 4 | [
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0.009... | 13,707,163 | 13707163 | |
1dmatcalc
1dmatcalc¶
Usage: 1dmatcalc [-verb] expression
Evaluate a space delimited RPN matrix-valued expression:
* The operations are on a stack, each element of which is a
real-valued matrix.
* N.B.: This is a computer-science stack of separate matrices.
If you want to join two matrices in sepa... | 4 | [
-0.07373046875,
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-0.10009765625,
0... | 13,707,164 | 13707164 | |
(x-1)^2=4 Square Root Method
Solving Equations Using the Square Root Method: (x-1)^2 = 4
The square root method is a useful technique for solving quadratic equations that are in a specific form. This method relies on the concept of inverse operations to isolate the variable.
Here's how to solve the equation (x-1)^2 =... | 4 | [
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-0.05... | 13,707,165 | 13707165 | |
Introduction to Mathematical Physics/N body problem in quantum mechanics/Molecules - Wikibooks, open books for an open world
Vibrations of a spring model
edit
We treat here a simple molecule model \index{molecule} to underline the importance of symmetry using \index{symmetry} in the study of molecules. Water molecule... | 4 | [
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0.05859375,
-0.091796875,
0.0311279296875,
-0.041... | 13,707,166 | 13707166 | |
Classification of variables with logistic regression model – GLM
Hello everyone, one of the great dilemmas in all data analysis is to know which are the variables that most influence us in a certain condition.
To know this, a tool that we can use is a logistic regression model: glm.
Logistic regression allows us to... | 5 | [
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0.0247802734375,
-0.0203857421875,
-0.041748046875... | 13,707,167 | 13707167 | |
losses -
Sun-Planet
Planetary gear set of carrier, planet, and sun wheels with adjustable gear ratio and friction losses
Libraries:
Simscape / Driveline / Gears / Planetary Subcomponents
Description
The Sun-Planet gear block represents a set of carrier, planet, and sun gear wheels. The planet is connected to and ... | 4 | [
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0.... | 13,707,168 | 13707168 | |
|cp4space| = 100
This is the 100th article on cp4space, and is inspired by a discussion last night with Gabriel Gendler.
Triangle centres with complex numbers
Suppose we have a triangle in the Euclidean plane $\mathbb{R}^2$. We can identify the Euclidean plane with the complex plane, and represent the triangle by a ... | 4 | [
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-0.016967773437... | 13,707,169 | 13707169 | |
F(x)=tan^(-1)x-x is decreasing in -Turito
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Question
A.
B.
C.
D.
We are given a function. We have to find the interval for which it is decreasing. We will take the first order derivative to find the answer
The given function is f(x) = tan^-1x - x
A function is said... | 4 | [
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Theories of Numerosities
Let us give an intuitive sketch of how the theory of numerosities can be developed for all countable sets (for details see Benci and Di Nasso 2003 and Mancosu 2009, 2016). The idea is to find a way
of counting infinite sets that generalizes counting on finite sets. One can call the idea counti... | 4 | [
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0.03125,
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0.0625,
0.034423828125,
-0.00... | 13,707,171 | 13707171 | |
Mathematical foundation of music
Let's discuss how the current music is created, and what was the motivation of the current system of musical tones.
Sound is a vibration (e.g. of a string, of a drum, of a speaker ...) which propagates through air, and can be detected e.g. by a human ear or by a microphone. It can no... | 4 | [
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0.1123046875,
-0.00... | 13,707,172 | 13707172 | |
Towards Computational Game Theory Part 1
Published on
∘ 33 min read ∘ ––– views
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Previous Article
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Preface
The front half of this post is mostly explanation, and the latter half are notes.
Contents
Intro to Game Theory: a Lightspeed Overture
Broadly speaking, Game Theory is a field dedi... | 5 | [
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0.06103515625,
0.0400390625,
0.0439453125,
0.07763671875,
0.04443359375,
-0.... | 13,707,173 | 13707173 | |
Science:Math Exam Resources/Courses/MATH215/December 2013/Question 02 (a)
MATH215 December 2013
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q2 (a) • Q2 (b) • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q4 (c) • Q5 (a) • Q5 (b) • Q6 (a) • Q6 (b) • Q6 (c) • Q7 (a) • Q7 (b) • Q7 (c) •
Question 02 ... | 5 | [
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0.07421875,
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... | 13,707,174 | 13707174 | |
Radians to Degrees - Conversion, Formula, Examples
Radians and degrees conversion is a very crucial skill for advanced math students to understand.
Initially, we need to explain what radians are so that you can understand how this theorem is used in practice. After that we’ll take it one step further by looking at a ... | 4 | [
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-0.0805664... | 13,707,175 | 13707175 | |
What Do You Need to Know about Power Calibrating
It is complicated to calculate the rated power for RF phase stable cables. During application process, sufficient calculation by professional engineers is necessary, yet inconvenient. Focusimple
Electronics has made a detailed instruction of the cable rated power, speci... | 4 | [
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Herglotz formula
From Encyclopedia of Mathematics
An integral relation between two closed isometric oriented regular surfaces. Let local coordinates $u$ and $v$ be introduced on the surfaces $S_1$ and $S_2$ so that equality of the coordinates
realizes an isometric mapping. Let
$$ds^2=Edu^2+2Fdudv+Gdv^2$$
be the fir... | 4 | [
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0.... | 13,707,177 | 13707177 | |
Community - Competitive Programming - Competitive Programming Tutorials - Dynamic Programming: From Novice to Advanced
By Dumitru — Topcoder member
Discuss this article in the forums
An important part of given problems can be solved with the help of dynamic programming (DP for short). Being able to tackle problems of ... | 5 | [
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0.051025390625... | 13,707,178 | 13707178 | |
Solving Two-Step Equations | sofatutor.com
Solving Two-Step Equations
Basics on the topic Solving Two-Step Equations
When solving algebraic two-step equations, like one-step equations, your goal is to isolate the variable on one side of the equal sign, but for two-step equations, you will need to do an extra step,
he... | 4 | [
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... | 13,707,179 | 13707179 | |
2005 AMC 12B Problems/Problem 9
The following problem is from both the 2005 AMC 12B #9 and 2005 AMC 10B #19, so both problems redirect to this page.
Problem
On a certain math exam, $10\%$ of the students got $70$ points, $25\%$ got $80$ points, $20\%$ got $85$ points, $15\%$ got $90$ points, and the rest got $95... | 4 | [
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-0.01806640625,
-0.0573730468... | 13,707,180 | 13707180 | |
C++代写 | COM SCI M226 -1 Research on machine learning algorithms
这个作业是用C++研究机器学习的算法
Research on machine learning algorithms
COM SCI M226 -1
Assignment 5 – Tutorial Explanation
40% of final score
Due date: 31st December 2019
Question: Create a new objective function that can model
multiple parameters
In this question,... | 4 | [
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0.007781982... | 13,707,181 | 13707181 | |
Suppose a star the size of our Sun, but with mass 8.0 times as
great, were...
Suppose a star the size of our Sun, but with mass 8.0 times as great, were...
Suppose a star the size of our Sun, but with mass 8.0 times as great, were rotating at a speed of 1.0 revolution every 8.0 days. If it were to undergo gravitationa... | 5 | [
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-0.076... | 13,707,182 | 13707182 | |
skbio.stats.distance.permdisp
skbio.stats.distance.permdisp#
skbio.stats.distance.permdisp(distance_matrix, grouping, column=None, test='median', permutations=999, method='eigh', number_of_dimensions=10, seed=None)[source]#
Test for Homogeneity of Multivariate Groups Disperisons.
PERMDISP is a multivariate a... | 5 | [
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-0.0167236328125,
-0.03... | 13,707,183 | 13707183 | |
Evaluate Algebraic Expressions - A Step By Step Guide
Evaluate algebraic expressions
What are algebraic expressions? How do we evaluate algebraic expressions? Are there any real-life applications? These questions will be answered in this lesson.
What are algebraic expressions?
When mathematical expressions use only ... | 4 | [
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-0.0537109375,
0.033691... | 13,707,184 | 13707184 | |
Equation of the Line Parallel to x and y Axis
EQUATION OF THE LINE PARALLEL TO X AND Y AXIS
To understand the equation of a line which is parallel to x axis,
To understand the equation of a line which is parallel to y axis,
Example 1 :
Find the equation of a straight line passing through the mid-point of a line seg... | 4 | [
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-0.02014160156... | 13,707,185 | 13707185 | |
Secant calculator online - Calculate sec - derivative - primitive - limit - Solumaths
The trigonometric function sec allows to calculate the secant of an angle expressed in radians, degrees, or grades.
Secant function
The secant trigonometric function noted sec, allows the calculation of the secant of an angle, it is... | 5 | [
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-0... | 13,707,186 | 13707186 | |
Implementing math.acosh for Inverse Hyperbolic Cosine
Posted inmath Python modules
Implementing math.acosh for Inverse Hyperbolic Cosine
The inverse hyperbolic cosine, often denoted as arccosh or cosh⁻¹, is a mathematical function that plays an important role in various fields, including physics, engineering, and com... | 5 | [
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question to determine the general solution of wave equation
I have difficulties obtaining the general solution of the equation $u_{tt} - c^2u_{xx} = 0$. From the online textbook Section2.3, it mentions $v = u_t +cu_x$, and it gets the result $v_t - cv_x = 0$
by chain rule. But when I expand $v_t - cv_x = 0$, I get an e... | 4 | [
-0.087890625,
0.02783203125,
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-0.006134033203125,
-0.0247802734375,
-... | 13,707,188 | 13707188 | |
ReportReport
We now test whether the ranksums AS A WHOLE provide a significant ordering. The Friedman Chi-square value is 2.7619. The probability that this could happen by chance is 0.7366 We now undertake a more
detailed examination of the pair-wise rank correla- tions that exist between pairs of judges. First, we pre... | 4 | [
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-0.0... | 13,707,189 | 13707189 | |
ation
Overview
Powertowers, with a base b and an initial value x are x, b^x, b^b^x, … . Often people assume x=1 and simply write 1, b, b^b, b^b^b,… and introduce a "height"-parameter to indicate the "height" of the
powertower (I'lll use the letter h for this). One fairly common way to write this is b^^h. where b^^0=1 ... | 4 | [
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0.1171875,
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0.0... | 13,707,190 | 13707190 | |
Antal Horvath^1, Christoph Jud^1, Simon Pezold^1, Matthias Weigel^1,2, Charidimos Tsagkas^3, Katrin Parmar^3, Oliver Bieri^1,2, and Philippe Cattin^1
^1Department of Biomedical Engineering, University of Basel, Allschwil, Switzerland, ^2Division of Radiological Physics, Department of Radiology, University Hospital B... | 4 | [
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0.05322265... | 13,707,191 | 13707191 | |
Thermodynamics - AP Chemistry
All AP Chemistry Resources
Example Questions
Example Question #1 : Thermodynamics
The following is a list of specific heat capacities for a few metals.
A 50g sample of an unknown metal is heated with 800 joules. If the temperature of the metal increases by 41.6^oC, what is the identity... | 4 | [
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-0.0155029296875,
0.00457763671875,
-0.1162109375,
0.026611328125,
0.043701171... | 13,707,192 | 13707192 | |
Power
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5.4 Conservation of energy 5.6 Chapter summary
5.5 Power (ESCMJ)
Now that we understand the relationship between work and energy, we are ready to look at a quantity related the rate of energy transfer. For example, a mother pushing ... | 4 | [
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-0.00909423828125,
0.0227050781... | 13,707,193 | 13707193 | |
Chapter 7 Performance Analysis Additional References Selim Akl
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Chapter 7 Performance Analysis
Additional References • • Selim Akl, “Parallel Computation: Models and Methods”, Prentice Hall, 1997, Updated online version available through website. (Textbook), Michael Quinn, Parallel Programming
i... | 5 | [
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0.... | 13,707,194 | 13707194 | |
Addiplication
We learn so early in life about +, −, × and ÷ that we tend to see these operations as the unique foundation stones of arithmetic, on which everything else must be built. But there are other operators
we can apply to pairs of numbers. In a paper recently posted on the arXiv, Shinji Tanimoto of Kochi Joshi... | 5 | [
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... | 13,707,195 | 13707195 | |
The BGV fully homomorphic encryption scheme | Bitdefender Research
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published on June 29, 2023
The BGV fully homomorphic encryption scheme
This is a sister blogpost to the previous one about a similar scheme (BFV) and it's part of the series that covers fully homomorphic encryption techniques and applicat... | 4 | [
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MTH220: Statistical Methods and Inference TMA Assignment, SUSS, Singapore To settle a debate over whether Coca Cola or Pepsi Cola is more popular, a random sample of 79 participants
University Singapore University of Social Science (SUSS)
Subject MTH220: Statistical Methods and Inference TMA
Posted on: 24^th May 20... | 4 | [
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The sum of all possible numbers greater than 10,000 formed by u-Turito
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Question
The sum of all possible numbers greater than 10,000 formed by using {1,3,5,7,9} is
A. 6666600
B. 932460
C. 6660000
D. 1968
First of all find the total number of numbers satisfying the... | 4 | [
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0.03173828125,
0.0111083984375,
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-0.0158... | 13,707,198 | 13707198 | |
Maybe I'm missing something obvious, but how do you show explicitly that the BTZ metric
\(ds^2 = - (r^2 - 8 M) dt^2 + \frac{dt^2}{r^2-8M} + r^2 d \phi^2\)
is a quotient of the Poincare patch of \(AdS_3\)
\(ds^2 = -r^2 dt^2 + \frac{dr^2}{r^2} + r^2 d \phi^2\)
To me, it just looks like BTZ is asymptotically \(AdS_3\... | 4 | [
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