content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Kinetics Force & Acceleration of a Particle
Galileo study of pendulums and falling bodies dispelled many of the early notions of Dynamics while providing insight on the effects of forces on bodies that are in motion. This would later allow
Isaac Newton with bases for his famous three laws of motion.
1. “A particle... | 4 | [
-0.07666015625,
-0.11328125,
-0.038330078125,
-0.0213623046875,
0.0269775390625,
0.044921875,
-0.06298828125,
0.0068359375,
0.046875,
0.0947265625,
0.048828125,
-0.028564453125,
-0.03076171875,
0.00518798828125,
-0.00335693359375,
-0.036865234375,
-0.045166015625,
0.10107421875,
... | 13,704,400 | 13704400 | |
Ampere’s Circuital Law [Explained] - Resources For Electrical & Electronic Engineers
Ampere’s Circuital Law [Explained]
Ampere’s circuital law states that the line integral of magnetic field intensity about any closed path is exactly equal to the direct current enclosed by that path. In the figure below, the integral
... | 4 | [
-0.045654296875,
0.06494140625,
0.00897216796875,
0.007049560546875,
0.016357421875,
-0.035400390625,
0.059814453125,
0.00958251953125,
0.00457763671875,
0.049560546875,
-0.039306640625,
0.003936767578125,
0.1298828125,
0.006134033203125,
0.0113525390625,
0.0615234375,
-0.09619140625... | 13,704,401 | 13704401 | |
Rate of reactions. (Chapter 2) - презентация онлайн
Rate of reactions. (Chapter 2)
1. Slayt 1
Chapter 2
1. Meaning and Measurement
of Rate
• Rate is defined as the change in concentration of products
or reactants in a course of time.
change in concentration
Average Reaction Rate =
change in time
• Reaction ra... | 4 | [
-0.060791015625,
-0.0155029296875,
-0.03173828125,
-0.000030159950256347656,
0.04833984375,
-0.00131988525390625,
-0.0234375,
0.10400390625,
0.10107421875,
-0.0031890869140625,
0.06640625,
-0.037841796875,
-0.0213623046875,
-0.01129150390625,
-0.04150390625,
0.004974365234375,
0.0578... | 13,704,402 | 13704402 | |
chol.down: Deletion and rank one Cholesky factor update in mgcv: Mixed GAM Computation Vehicle with Automatic Smoothness Estimation
Given a Cholesky factor, R, of a matrix, A, choldrop finds the Cholesky factor of A[-k,-k], where k is an integer. cholup finds the factor of A + uu^T (update) or A - uu^T (downdate).
R ... | 4 | [
-0.08935546875,
-0.060302734375,
-0.0186767578125,
-0.015869140625,
0.013427734375,
-0.03955078125,
0.0255126953125,
-0.068359375,
-0.07666015625,
0.0213623046875,
0.0625,
0.06982421875,
0.01519775390625,
-0.045654296875,
-0.042236328125,
0.05517578125,
-0.00445556640625,
0.0559082... | 13,704,403 | 13704403 | |
Complex Power Functions
Complex Power Functions
Recall from The Complex Natural Logarithm Function page that if $z \in \mathbb{C} \setminus \{ 0 \}$ then we defined:
(1)
\quad \log (z) = \log \mid z \mid + i \arg (z)
Where $\arg(z)$ is specified in some branch of the complex natural logarithm function.
With this ... | 5 | [
-0.01019287109375,
-0.0240478515625,
-0.11083984375,
0.07470703125,
-0.035400390625,
-0.107421875,
0.06396484375,
-0.04248046875,
0.11376953125,
0.0289306640625,
0.0260009765625,
-0.035400390625,
0.050048828125,
0.083984375,
0.064453125,
0.05029296875,
-0.09521484375,
-0.0047607421... | 13,704,404 | 13704404 | |
A hurricane article submitted by mid-September has a 50–50 chance of being accepted in time to meet the IPCC manuscript deadline of mid-March 2013.
Publication is central to science. Authors, not wanting to get scooped, are keen about the speed of the review process. Editors, focused on ensuring a thorough review... | 4 | [
-0.09033203125,
0.007659912109375,
0.00537109375,
0.07958984375,
0.08935546875,
0.0228271484375,
-0.0947265625,
0.00543212890625,
0.08056640625,
0.061279296875,
0.00823974609375,
0.029296875,
0.0296630859375,
-0.0286865234375,
-0.049072265625,
-0.03466796875,
0.06396484375,
-0.0422... | 13,704,405 | 13704405 | |
Ramanujan’s nested radical
Ramanujan posed the following puzzle to Journal of Indian Mathematical Society. What is the value of the following?
He waited over six months, and when nobody replied he gave his solution. The result is simply 3.
Now suppose you didn’t know an algebraic proof and wanted to evaluate the ex... | 5 | [
-0.058349609375,
0.0234375,
-0.076171875,
0.03564453125,
-0.0250244140625,
-0.040771484375,
-0.0517578125,
0.024169921875,
0.056884765625,
-0.0157470703125,
-0.05029296875,
-0.003509521484375,
-0.0107421875,
0.05419921875,
-0.015869140625,
-0.033447265625,
-0.048583984375,
0.001403... | 13,704,406 | 13704406 | |
Question about Michael's Probability Table: Seven-Out and Survival
First, thanks to everyone who maintains this website, and also thanks to those who participate and try to help.
I'm not new to the game, but I am newer at studying it. Thirty years ago I was taught the Pass w/ Odds method, and the Don't etc. I haven't ... | 5 | [
0.0267333984375,
-0.01470947265625,
-0.0208740234375,
-0.0194091796875,
0.002227783203125,
0.04248046875,
0.0322265625,
0.037841796875,
-0.048828125,
0.045654296875,
0.023193359375,
0.01348876953125,
0.048828125,
0.038818359375,
-0.024658203125,
0.0164794921875,
-0.03857421875,
0.0... | 13,704,407 | 13704407 | |
Illustration: Artificial Data – topmodels
Warning in qqrplot_plot(x[x$group == i, ], ...): infinite sample quantile drawn; limited to +/- 100 for plotting Warning in qqrplot_plot(x[x$group == i, ], ...): infinite sample quantile drawn;
limited to +/- 100 for plotting
Predictive ... | 4 | [
0.005828857421875,
0.00012874603271484375,
0.046630859375,
0.033935546875,
0.08154296875,
-0.09033203125,
0.0028839111328125,
0.1005859375,
0.04248046875,
0.049072265625,
0.033447265625,
-0.0458984375,
0.0172119140625,
-0.01116943359375,
-0.032958984375,
-0.058837890625,
0.0483398437... | 13,704,408 | 13704408 | |
1. Introduction
2. Definitions
3. Unit Conversion for Time
4. Unit Conversion for Speed/Velocity
5. Unit Conversion for Acceleration
6. Examples
7. Summary
8. FAQs
Introduction
In this article, we will learn about a few important attributes, their units, and conversion methods between the different units.
• Speed... | 4 | [
0.023681640625,
-0.012939453125,
-0.06640625,
-0.0023345947265625,
-0.03857421875,
-0.0206298828125,
-0.049072265625,
-0.03466796875,
-0.0213623046875,
-0.0595703125,
0.060302734375,
-0.10986328125,
0.0634765625,
-0.005859375,
-0.06591796875,
-0.03759765625,
0.052490234375,
0.14941... | 13,704,409 | 13704409 | |
Communication: Wigner functions in action-angle variables, Bohr-Sommerfeld quantization, the Heisenberg correspondence principle, and a symmetrical quasi-classical approach to the full electronic density matrix
It is pointed out that the classical phase space distribution in action-angle (a-a) variables obtained from a... | 4 | [
-0.08740234375,
-0.01165771484375,
-0.0084228515625,
-0.05908203125,
-0.07568359375,
0.09814453125,
0.05322265625,
-0.048095703125,
0.06298828125,
0.028564453125,
0.130859375,
0.02783203125,
-0.0027313232421875,
-0.03662109375,
0.09912109375,
-0.021240234375,
-0.037353515625,
-0.01... | 13,704,410 | 13704410 | |
June 2022 Geometry Regents, Part I (multiple choice) (2024)
This exam was adminstered in June 2022.
More Regents problems.
June 2022 Geometry Regents
Part I
Each correct answer will receive 2 credits. No partial credit.
1. Triangle A'B'C' is the image of △ABC after a dilation centeredat the origin. The coordinates... | 4 | [
0.030517578125,
0.0380859375,
0.037353515625,
-0.05810546875,
-0.006195068359375,
0.00286865234375,
-0.025634765625,
0.034423828125,
0.0419921875,
0.00653076171875,
0.078125,
-0.08837890625,
-0.03564453125,
0.05810546875,
-0.036865234375,
0.025390625,
-0.05615234375,
-0.0390625,
... | 13,704,411 | 13704411 | |
How to do Analysis questions
This post is for posterity, made shortly after Dr Paul Russell lectured Analysis II in Part IB of the Maths Tripos at Cambridge. In particular, he demonstrated a way of doing certain basic questions.
It may be useful to people who are only just starting the study of analysis and/or who ar... | 5 | [
-0.07373046875,
0.04931640625,
-0.031982421875,
-0.0001316070556640625,
-0.050048828125,
0.072265625,
0.07568359375,
0.032470703125,
-0.007720947265625,
0.0167236328125,
-0.0162353515625,
0.0164794921875,
-0.04150390625,
0.0245361328125,
-0.04638671875,
-0.09228515625,
-0.0341796875,... | 13,704,412 | 13704412 | |
Understanding Polychoric Correlation
Polychoric correlation is a measure of association between two ordered categorical variables, each assumed to represent latent continuous variables that have a bivariate standard normal distribution.
When we say two variables have a bivariate standard normal distribution, we mean th... | 5 | [
0.03564453125,
-0.07080078125,
0.05419921875,
0.043212890625,
-0.0654296875,
0.02197265625,
0.02783203125,
-0.00933837890625,
0.06689453125,
-0.01385498046875,
0.0255126953125,
0.018310546875,
-0.00933837890625,
0.072265625,
0.040283203125,
0.006072998046875,
0.10546875,
-0.0066833... | 13,704,413 | 13704413 | |
Matrix Determinant Example Problems
MATRIX AND DETERMINANTS EXAMPLE PROBLEMS
Question 1 :
Prove that
Solution :
First let us factor "a" from the 1^st row, "b" from the 2^nd row and c from the 3^rd row.
Now we have to multiply column 1, 2 and by a, b and c respectively.
Let us subtract 2^[S:nd:S] row from 1^st ro... | 5 | [
-0.01263427734375,
0.0263671875,
-0.059814453125,
-0.050537109375,
0.057861328125,
0.06640625,
-0.009765625,
-0.061279296875,
-0.0126953125,
-0.0184326171875,
0.025390625,
-0.060791015625,
0.00750732421875,
-0.0034942626953125,
-0.0810546875,
0.006011962890625,
-0.018310546875,
0.0... | 13,704,414 | 13704414 | |
We show you how to gauge the distance a value sits from zero on a number line.
You need to remember that the imaginary unit is not really a variable. It is the square of negative one.
We show you how to model these values in a coordinate system. We quickly learn that we can plot these values much like we can plot re... | 4 | [
-0.0576171875,
0.0250244140625,
-0.045654296875,
0.0159912109375,
-0.050537109375,
-0.051025390625,
-0.04931640625,
0.0263671875,
0.1298828125,
0.01708984375,
0.042236328125,
-0.0255126953125,
0.00537109375,
0.10791015625,
0.005462646484375,
-0.09033203125,
-0.036865234375,
0.04418... | 13,704,415 | 13704415 | |
P-1MP My MatrixP-1MP My Matrix
P-1MP My Matrix
Jump to navigation Jump to search
left
P^-1MP My Matrix is a very popular television show on MTVπ (Math Television 3.14159265358979323846264338327950288419716939937510). Hosted by XZ^-1B^-1T (neé Albert Noris Jennings), the show has had
great success since it started in... | 4 | [
-0.0286865234375,
-0.0128173828125,
-0.05859375,
-0.057373046875,
0.0015869140625,
-0.0018768310546875,
-0.00933837890625,
0.01043701171875,
-0.02294921875,
0.03955078125,
0.01177978515625,
0.0966796875,
0.05908203125,
0.01226806640625,
-0.07958984375,
-0.0291748046875,
0.087890625,
... | 13,704,416 | 13704416 | |
What is the difference between a reciprocal of a number and a opposite of the number? | Socratic
What is the difference between a reciprocal of a number and a opposite of the number?
3 Answers
When you multiply a reciprocal with its original number, the result is 1.
When you add the opposite to its original number, t... | 4 | [
-0.087890625,
0.004364013671875,
0.0301513671875,
0.041015625,
-0.0751953125,
-0.09716796875,
0.057861328125,
0.0203857421875,
0.05078125,
-0.007232666015625,
0.00421142578125,
-0.01507568359375,
0.10107421875,
0.0419921875,
-0.08837890625,
-0.041015625,
0.049072265625,
0.027221679... | 13,704,417 | 13704417 | |
Blog | Sindri
Zero-Knowledge Programs
Inspired by this thread.
Suppose you have a function that takes in two variables and returns some result:
$\Large{ \text{result} = doSomething(x,y) }$
There are a few consequences of executing $doSomething$ the traditional way:
1. Anyone wishing to verify result will need bo... | 4 | [
-0.044189453125,
0.08251953125,
-0.07470703125,
0.011962890625,
0.042724609375,
-0.026611328125,
-0.0213623046875,
0.0021514892578125,
0.04541015625,
0.04296875,
0.05712890625,
-0.01300048828125,
0.0849609375,
0.0142822265625,
0.047119140625,
0.0035247802734375,
0.033447265625,
0.0... | 13,704,418 | 13704418 | |
Walking Calorie Calculator
Calorie Burn & Walking
Introduction
This calculator predicts the calories burned by walking various distances at a variety of speeds for walkers of different weights.
Walking for exercise is very common. In addition to race walkers, hikers, and those using walking to lose weight, walking ... | 4 | [
-0.0400390625,
0.05908203125,
0.039306640625,
0.10498046875,
0.046142578125,
0.031005859375,
0.011474609375,
0.007171630859375,
0.04736328125,
0.01324462890625,
-0.039306640625,
-0.03564453125,
-0.0191650390625,
0.0286865234375,
0.028076171875,
-0.064453125,
0.02099609375,
0.106933... | 13,704,419 | 13704419 | |
Leveraging Advanced Forecasting Techniques with StatsForecast: A Case Study
INTRODUCTION
We recently solved an interesting problem for a customer: Rare events (the failure of certain components) were to be predicted on the basis of irregular historical data. The prediction was to be
grouped by customer a... | 4 | [
-0.08056640625,
0.009521484375,
0.049072265625,
0.11181640625,
0.01202392578125,
-0.01904296875,
-0.038330078125,
0.0145263671875,
-0.029541015625,
-0.07470703125,
-0.0289306640625,
0.00139617919921875,
0.046630859375,
0.0274658203125,
-0.000499725341796875,
-0.080078125,
-0.00823974... | 13,704,420 | 13704420 | |
: A
2
Art of Maneuver
The mathematics of our day appears to me like a large weapon shop in peace time. The store window is filled with showpieces whose ingenious, artful, and pleasing design enchants the connoisseur. The
real origin and purpose of these things, to attack and defeat the enemy, ... | 4 | [
0.0294189453125,
0.0732421875,
-0.0087890625,
-0.0155029296875,
-0.039306640625,
0.05712890625,
0.07861328125,
0.0218505859375,
0.083984375,
0.0072021484375,
0.04443359375,
0.0703125,
0.04150390625,
0.0234375,
-0.0240478515625,
-0.005035400390625,
0.019287109375,
0.055908203125,
... | 13,704,421 | 13704421 | |
FIR filter design using ‘Filter Builder’ App of System DSP / Fixed-Point Designer Toolboxes for Floating / Fixed-Point Arithmetic Precision..
Categories
FIR filter design using ‘Filter Builder’ App of System DSP / Fixed-Point Designer Toolboxes for Floating / Fixed-Point Arithmetic Precision..
DSP can be separated in... | 4 | [
-0.048828125,
0.0927734375,
-0.08544921875,
-0.0240478515625,
-0.036376953125,
-0.055419921875,
0.004852294921875,
-0.005615234375,
0.0225830078125,
-0.023193359375,
-0.07861328125,
-0.055419921875,
-0.0361328125,
0.00616455078125,
-0.006988525390625,
0.00016498565673828125,
-0.04125... | 13,704,422 | 13704422 | |
Multi-step Equations & Inequalities
500
(5a + 1) / 2 = 13
What is a = 5
500
A triangle has an area of 90 square meters. The height of the triangle is 12 meters and the third side is 20 meters. What is the base of the triangle?
What is 15 meters
500
-1/4x + 6 = 2/3x + 28
What is x=-24
500
Solve: (3r +7)2 < -34... | 4 | [
-0.03759765625,
0.1357421875,
0.03076171875,
-0.07177734375,
-0.04736328125,
0.017578125,
-0.0576171875,
0.09033203125,
-0.045654296875,
0.1005859375,
-0.048583984375,
-0.0252685546875,
0.06884765625,
0.083984375,
0.004638671875,
0.050537109375,
-0.0245361328125,
-0.021728515625,
... | 13,704,423 | 13704423 | |
The Generalized Quasilinear Approximation: Application to Zonal Jets PDF
The Generalized Quasilinear Approximation: Application to Zonal Jets J. B. Marston,1,∗ G. P. Chini,2,† and S. M. Tobias3,‡ 1Department of Physics, Box 1843, Brown University, Providence, RI
02912-1843, USA 2Department of Mechanical Engineering & P... | 4 | [
-0.10986328125,
-0.0732421875,
0.045654296875,
0.0306396484375,
-0.03076171875,
0.018798828125,
-0.0458984375,
0.0302734375,
0.0133056640625,
-0.041015625,
-0.02099609375,
0.0264892578125,
-0.00048065185546875,
-0.0240478515625,
-0.0274658203125,
-0.01544189453125,
-0.0220947265625,
... | 13,704,424 | 13704424 | |
A circle has a center at (1 ,3 ) and passes through (2 ,4 ). What is the length of an arc covering pi radians on the circle? | Socratic
A circle has a center at #(1 ,3 )# and passes through #(2 ,4 )#. What is the length of an arc covering #pi # radians on the circle?
1 Answer
Explanation:
The radius of the circle i... | 4 | [
0.0498046875,
-0.0113525390625,
-0.00159454345703125,
0.03466796875,
0.043701171875,
0.00860595703125,
0.0159912109375,
0.11767578125,
0.06982421875,
-0.0126953125,
-0.06494140625,
0.0225830078125,
0.01007080078125,
0.038330078125,
-0.010009765625,
-0.0264892578125,
-0.0091552734375,... | 13,704,425 | 13704425 | |
You can Download Chapter 12 Atoms Questions and Answers, Notes, 2nd PUC Physics Question Bank with Answers, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks
in your examinations.
Karnataka 2nd PUC Physics Question Bank Chapter 12 Atoms
2nd PUC Physics Atoms NCERT Text Book Qu... | 5 | [
0.01458740234375,
-0.025390625,
0.00079345703125,
0.0908203125,
-0.00872802734375,
0.09814453125,
0.017333984375,
0.134765625,
-0.06396484375,
0.047607421875,
0.03515625,
-0.047607421875,
-0.0283203125,
0.0027923583984375,
0.0400390625,
-0.0986328125,
0.03955078125,
-0.0771484375,
... | 13,704,426 | 13704426 | |
When a system experiences no net torque about a point, angular momentum is conserved. But, sometimes, there is no location about which a system experiences no net torque; other times, it might be
difficult to find that point. Choosing the system appropriately will often ensure there is no external torque on the system... | 4 | [
-0.005950927734375,
-0.047607421875,
0.00135040283203125,
-0.062255859375,
0.008544921875,
0.04736328125,
0.041015625,
0.009521484375,
0.1865234375,
0.14453125,
0.04248046875,
0.05615234375,
0.032958984375,
0.0164794921875,
0.00439453125,
-0.0289306640625,
0.025634765625,
0.0568847... | 13,704,427 | 13704427 | |
Numerical Methods and Computing 2 (CIVE08017)
Undergraduate Course: Numerical Methods and Computing 2 (CIVE08017)
Course Outline
School School of Engineering College College of Science and Engi... | 5 | [
-0.07666015625,
0.01519775390625,
-0.004180908203125,
-0.0751953125,
-0.0703125,
-0.08203125,
-0.01495361328125,
0.060302734375,
-0.10693359375,
0.0020294189453125,
0.0230712890625,
-0.04833984375,
0.059326171875,
-0.05712890625,
-0.06201171875,
-0.0279541015625,
-0.07373046875,
-0... | 13,704,428 | 13704428 | |
1455 views
First I will provide a summary of the problem. Subsequently, I will provide more detail regarding the problem. Please note that entropy is in units of the Boltzmann constant.
Summary
I have a Fokker-Planck equation which I have derived from the internal energy EOS. The Fokker-Planck equation describes the... | 4 | [
0.0027313232421875,
0.050537109375,
0.04296875,
-0.01416015625,
0.0311279296875,
-0.06396484375,
0.049560546875,
0.0517578125,
0.083984375,
0.0128173828125,
-0.0111083984375,
-0.181640625,
0.00848388671875,
-0.07958984375,
-0.0021514892578125,
0.04638671875,
-0.0027618408203125,
-0... | 13,704,429 | 13704429 | |
Formula of Tan(x+y+z) with Proof - iMath
The formula of tan(x+y+z) is given as follows:
tan(x+y+z) = $\dfrac{\tan x +\tan y+\tan z – \tan x \tan y \tan z}{1-\tan x \tan y-\tan y \tan z-\tan z \tan x}$.
In this post, let us learn how to prove the formula of tan(x+y+z).
Proof of tan(x+y+z) Formula
We will use the for... | 4 | [
-0.09375,
0.027099609375,
0.0380859375,
0.045166015625,
0.01190185546875,
0.037841796875,
0.033203125,
-0.06396484375,
0.009765625,
0.05224609375,
-0.0201416015625,
-0.049072265625,
0.00087738037109375,
0.03076171875,
0.08837890625,
0.06982421875,
-0.0322265625,
0.052734375,
-0.0... | 13,704,430 | 13704430 | |
Expressing Concentration Terms with Formula - ScienceMotive
Expressing Concentration Terms with Formula
Concentration Can be Expressed in the Following Ways:
(1) Mass percent (w/w or m/m): It is defined as the number of parts solute present in 100 parts by mass of solution. i.e.
Mass % of a component = Mass of solu... | 4 | [
0.0478515625,
-0.0162353515625,
-0.00897216796875,
0.0244140625,
0.0238037109375,
-0.0400390625,
0.06298828125,
0.08544921875,
0.00836181640625,
-0.01220703125,
0.0439453125,
-0.1064453125,
0.0693359375,
0.07763671875,
0.0228271484375,
0.01226806640625,
0.0166015625,
0.010314941406... | 13,704,431 | 13704431 | |
At what output is total revenue a maximum? $y=48x-2{{x}^{2}}$ , where $y$ is the total revenue and x is the output.
Hint: To find the output at which the total revenue will be maximum, we have to differentiate the given equation for the revenue with respect to x. Then, we have to equate this derivative to 0 and
find t... | 5 | [
0.042236328125,
0.0196533203125,
-0.014404296875,
-0.047607421875,
-0.07958984375,
-0.00439453125,
-0.02099609375,
0.06787109375,
-0.0006103515625,
0.0252685546875,
0.00182342529296875,
0.056396484375,
0.02587890625,
0.04248046875,
0.010498046875,
0.043701171875,
-0.0205078125,
0.0... | 13,704,432 | 13704432 | |
an
Descriptive statistics
corr - Pearson correlation of array elements
Status
Experimental
Description
Returns the Pearson correlation of the elements of array along dimension dim if the corresponding element in mask is true.
The Pearson correlation between two rows (or columns), say x and y, of array is defined ... | 5 | [
0.0277099609375,
-0.04541015625,
-0.0595703125,
0.04736328125,
-0.046875,
0.022705078125,
0.013671875,
-0.020263671875,
0.01708984375,
-0.0101318359375,
-0.021728515625,
-0.01318359375,
0.0028839111328125,
0.048583984375,
-0.0242919921875,
-0.041259765625,
0.01324462890625,
-0.0810... | 13,704,433 | 13704433 | |
2.2 - The Empirical Rule | STAT 800
While the standard deviation gives us a measure of variability (I.e. a variable with a standard deviation of zero has no variability), there are other important ways we can think about the standard
deviation.
First, we start with a normal distribution, symmetrical and bell-shaped.
... | 4 | [
0.08447265625,
0.0252685546875,
0.044189453125,
-0.00701904296875,
0.052978515625,
-0.0220947265625,
-0.087890625,
-0.011474609375,
0.04248046875,
0.0245361328125,
0.0849609375,
-0.036376953125,
0.109375,
-0.091796875,
0.061767578125,
-0.05859375,
-0.0150146484375,
-0.032958984375,... | 13,704,434 | 13704434 | |
Realization Theory of Nash Systems | Google Sites - P.PDFKUL.COM
Realization Theory of Nash Systems Jana Nˇemcov´a and Mih´aly Petreczky and Jan H. van Schuppen
Abstract— This paper deals with realization theory of socalled Nash systems, i.e. nonlinear systems the right-hand side of which is defined by Nash functions.... | 4 | [
-0.06982421875,
0.01141357421875,
-0.1533203125,
-0.076171875,
-0.0361328125,
0.08154296875,
0.052001953125,
0.0034332275390625,
-0.00738525390625,
0.02587890625,
-0.0286865234375,
0.029296875,
0.037109375,
0.032958984375,
-0.0087890625,
0.009521484375,
0.0167236328125,
-0.01831054... | 13,704,435 | 13704435 | |
Volume Of Sphere Worksheet
Solve the afterward problems.
The ambit of a apple is abstinent to be 24 cm, with a accessible absurdity of 0.25 cm. Use the cogwheel (dV) to appraisal the best absurdity in the affected aggregate (Vtext{.})
The breadth (A) of a aboveboard of ancillary breadth (s) is (A=s^2text{.}) Suppose ... | 5 | [
0.10498046875,
-0.0017242431640625,
0.03369140625,
-0.087890625,
-0.06201171875,
0.0031280517578125,
-0.0093994140625,
0.10595703125,
0.06396484375,
-0.00836181640625,
0.004669189453125,
-0.05859375,
0.0087890625,
0.017578125,
-0.046630859375,
0.011962890625,
0.11376953125,
-0.0319... | 13,704,436 | 13704436 | |
Pure dephasing
Pure dephasing¶
The analytical evolution of the density matrix in the pure dephasing case is given by
where F(t) is an integral which can be computed analytically in the zero temperature limit given that the correlation can be expressed as a sum of exponents. This analytical formula uses the
Matsubara ... | 4 | [
-0.08203125,
-0.031982421875,
-0.038330078125,
0.056884765625,
-0.0556640625,
-0.06640625,
-0.0322265625,
-0.015380859375,
-0.040283203125,
0.0025482177734375,
-0.00311279296875,
-0.12353515625,
-0.018798828125,
-0.08642578125,
-0.03076171875,
0.003753662109375,
0.009033203125,
-0.... | 13,704,437 | 13704437 | |
MESH & NODAL ANALYSISMESH & NODAL ANALYSIS
MESH ANALYSIS:
In the mesh analysis, a current is assigned to each window of the network such that the currents complete a closed loop.They are also referred to as loop currents. Each element and branch therefore
will have an independent current. When a branch has two mesh c... | 4 | [
-0.0191650390625,
0.10791015625,
0.0128173828125,
-0.0263671875,
0.0341796875,
-0.0111083984375,
-0.035400390625,
0.0145263671875,
0.09033203125,
0.05517578125,
-0.00958251953125,
-0.049072265625,
0.06884765625,
0.037109375,
0.046142578125,
0.014404296875,
-0.11328125,
0.0281982421... | 13,704,438 | 13704438 | |
Ideas in Geometry/Instructive examples/Continued Fractions, Section 3.2 - Wikiversity
3.2 #30
√5 To start note that 3 > √5 > 2
So this means that √5 = 2+ (√5-2) Where 2 is the whole number part and (√5-2) is the fractional part of √5.
In a simple continued fraction our numerator is 1. In order to get 1 in the numera... | 4 | [
-0.08544921875,
0.0166015625,
0.11328125,
0.006927490234375,
0.046875,
0.002197265625,
-0.06396484375,
-0.005706787109375,
-0.01153564453125,
0.005950927734375,
-0.005859375,
-0.034912109375,
0.00604248046875,
0.01470947265625,
-0.00921630859375,
0.020263671875,
-0.022705078125,
0.... | 13,704,439 | 13704439 | |
Scalar Quantization: Background, Practices & More | Qdrant - Qdrant
Scalar Quantization: Background, Practices & More | Qdrant
Kacper Łukawski
·
March 27, 2023
Efficiency Unleashed: The Power of Scalar Quantization
High-dimensional vector embeddings can be memory-intensive, especially when working with large datas... | 4 | [
0.07958984375,
-0.0113525390625,
-0.0556640625,
-0.052734375,
-0.0277099609375,
0.0179443359375,
-0.048828125,
0.005157470703125,
0.09521484375,
-0.0341796875,
-0.02001953125,
0.04052734375,
-0.029052734375,
0.028564453125,
-0.056884765625,
0.0218505859375,
0.036376953125,
0.057128... | 13,704,440 | 13704440 | |
Kalkulator Aljabar Boolean
Masukkan ekspresi boolean ke dalam kalkulator aljabar boolean untuk menemukan tabel kebenaran dan sifat ekspresi tersebut.
The boolean algebra simplifier is a physics and algebra-related tool. It finds the truth table of the inserted boolean expressions. You can enter all of the boolean ope... | 5 | [
0.0184326171875,
0.00830078125,
-0.048583984375,
-0.021484375,
-0.10546875,
-0.038818359375,
0.0213623046875,
-0.050537109375,
-0.009765625,
0.0224609375,
-0.0262451171875,
-0.0888671875,
0.04150390625,
-0.03759765625,
-0.0096435546875,
0.025390625,
-0.050048828125,
0.0234375,
-0... | 13,704,441 | 13704441 | |
What are 4 consecutive odd integers whose sum is 64? | Socratic
What are 4 consecutive odd integers whose sum is 64?
1 Answer
Explanation:
Let the first number be #color(red)(x#
Remember that consequetive odd integers differ in the values of $2$
$\therefore$ The other numbers are #color(red)(x+2,x+4,x+6#
#color(o... | 4 | [
-0.00014019012451171875,
0.0615234375,
-0.022216796875,
-0.056396484375,
0.036865234375,
0.07763671875,
0.07373046875,
0.01416015625,
-0.032958984375,
-0.052490234375,
0.01007080078125,
0.083984375,
0.057373046875,
-0.052490234375,
-0.01239013671875,
0.01123046875,
-0.02490234375,
... | 13,704,442 | 13704442 | |
ing
Smoothing
Overview
The Smoothing analysis is used for minimizing the fluctuations of a time series. You can choose from several smoothing methods which are described below.
Settings
Method
None
This method is used to include a series without any calculation applied.
Moving average
The value at each point i... | 4 | [
-0.07373046875,
-0.038818359375,
0.032470703125,
0.0194091796875,
-0.0556640625,
-0.038818359375,
0.038330078125,
0.0576171875,
0.03857421875,
-0.03466796875,
-0.047119140625,
0.005279541015625,
0.03662109375,
-0.06591796875,
-0.10107421875,
0.01470947265625,
-0.0732421875,
-0.0319... | 13,704,443 | 13704443 | |
Abstract Algebra
Hw7 Problem 3
Return to Homework 7, Glossary, Theorems
Problem 3
(a) (+) Prove that the order of a cycle of length $k$ is $k$.
(b) (+) Prove that the order of the product of two disjoint cycles in $S_n$ ($n\geq 2$) is the least common multiple of the lengths of the cycles. Deduce that the order of a... | 5 | [
0.00153350830078125,
0.061767578125,
0.07373046875,
-0.080078125,
-0.024658203125,
0.0927734375,
0.007659912109375,
-0.00970458984375,
-0.0908203125,
0.01324462890625,
0.00119781494140625,
-0.0206298828125,
0.042236328125,
-0.06201171875,
-0.04736328125,
0.0537109375,
-0.03662109375,... | 13,704,444 | 13704444 | |
There is a drum full of milk, people come for buying milk in the range of 1-40 litres. You can have only 4 cans to draw milk out of drum. tell me what should be the measurement of these four cans so
that you can measure any amount of milk in the range of 1-40 litres.
Note: idea is to minimise the efforts to draw the ... | 4 | [
0.00946044921875,
0.0216064453125,
-0.01446533203125,
-0.07568359375,
-0.03271484375,
0.0142822265625,
0.103515625,
0.036376953125,
-0.01226806640625,
-0.0240478515625,
0.01318359375,
-0.15234375,
0.07177734375,
0.06396484375,
-0.034423828125,
-0.05322265625,
-0.0233154296875,
0.03... | 13,704,445 | 13704445 | |
mldivide - Solve systems of linear equations Ax = B forx - MATLAB (2024)
Solve systems of linear equations Ax = B for x
Description
x = A\B solves the system of linear equations A*x = B. The matrices A and B must have the same number of rows. MATLAB^® displays a warning message if A is badly scaled or nearly singular... | 5 | [
-0.039306640625,
-0.06884765625,
-0.08203125,
-0.07177734375,
0.011962890625,
-0.050537109375,
-0.03515625,
-0.039794921875,
-0.0185546875,
0.064453125,
0.0230712890625,
0.035400390625,
0.0771484375,
0.033203125,
-0.023681640625,
0.11328125,
-0.021240234375,
0.0242919921875,
-0.0... | 13,704,446 | 13704446 | |
Switching Perfect Control Algorithm
Department of Electrical, Control and Computer Engineering, Opole University of Technology, 76 Proszkowska Str., 45-758 Opole, Poland
^*
Author to whom correspondence should be addressed.
Submission received: 30 April 2020 / Revised: 11 May 2020 / Accepted: 13 May 2020 / Publishe... | 4 | [
-0.037353515625,
-0.0152587890625,
-0.06787109375,
0.0311279296875,
-0.040771484375,
-0.021728515625,
-0.020263671875,
0.08544921875,
-0.02685546875,
0.09619140625,
0.09130859375,
0.07470703125,
0.033935546875,
-0.111328125,
-0.048583984375,
0.123046875,
-0.037841796875,
-0.0015029... | 13,704,447 | 13704447 | |
MOTION ALONG A CURVE: VELOCITY AND ACCELERATION VECTORS - Applications of Differential Calculus - Calculus AB and Calculus BC
Calculus AB and Calculus BC
CHAPTER 4 Applications of Differential Calculus
K. MOTION ALONG A CURVE: VELOCITY AND ACCELERATION VECTORS
If a point P moves along a curve defined parametrically ... | 5 | [
-0.0400390625,
-0.05078125,
-0.050537109375,
-0.083984375,
-0.0291748046875,
0.0537109375,
-0.02490234375,
0.06787109375,
0.04296875,
0.056396484375,
0.08349609375,
0.10009765625,
0.039794921875,
0.09326171875,
-0.032470703125,
0.044921875,
-0.0673828125,
0.07666015625,
0.0708007... | 13,704,448 | 13704448 | |
Bertrand Hypothesis and Ramanujan Prime Numbers - GameLudere
Home » Articles archive » Mathematics » Bertrand Hypothesis and Ramanujan Prime Numbers
The French mathematician Bertrand (1822-1900) formulated the conjecture that for every positive integer \(n\) there is always at least one prime number \(p\) such that
\... | 5 | [
-0.0234375,
-0.007049560546875,
-0.003997802734375,
0.034912109375,
0.002349853515625,
0.052734375,
0.058349609375,
0.1298828125,
0.03759765625,
0.015869140625,
-0.08203125,
0.08447265625,
0.0308837890625,
-0.005584716796875,
0.04931640625,
-0.034912109375,
0.043212890625,
-0.00671... | 13,704,449 | 13704449 | |
Vertical Asymptotes (Sample Questions)
A vertical asymptote is an area of a graph where the function is undefined. A graphed line will bend and curve to avoid this region of the graph. Vertical asymptotes are vertical lines that
correspond to the zeroes of the denominator in a function. A fraction cannot have zero in t... | 4 | [
-0.0400390625,
-0.00360107421875,
-0.034912109375,
0.025634765625,
-0.00714111328125,
-0.0947265625,
-0.11767578125,
0.0791015625,
0.06396484375,
-0.0179443359375,
0.060302734375,
-0.021484375,
0.0257568359375,
0.06103515625,
0.0400390625,
0.01708984375,
-0.0145263671875,
-0.034667... | 13,704,450 | 13704450 | |
Cost of Living
Hide
Problem C
Cost of Living
A newspaper columnist recently wrote a column comparing Disneyland’s price increases to other things in the economy; e.g., If gasoline were to have increased at the same rate as Disneyland’s
admission since 1990, it would cost $\$ 6.66$ per gallon.
Consider the prices of ... | 5 | [
-0.05419921875,
0.0091552734375,
-0.004302978515625,
0.025634765625,
0.054931640625,
0.0081787109375,
-0.0027313232421875,
-0.056396484375,
0.0145263671875,
0.04345703125,
0.12255859375,
-0.10107421875,
0.034912109375,
0.004791259765625,
0.0016937255859375,
-0.00775146484375,
-0.0673... | 13,704,451 | 13704451 | |
he
Write the two inequalities you would use to solve the absolute-value inequality. Tell whether they are connected by and or by or. $$ |10+7 x| \geq 11 $$
Short Answer
Expert verified
The two inequalities are \(10 + 7x \geq 11\) or \(-(10 + 7x) \geq 11\), and they are connected by the logical connector 'or'.
Step... | 4 | [
-0.0167236328125,
0.06396484375,
0.007659912109375,
-0.01251220703125,
-0.031005859375,
0.048583984375,
0.041259765625,
0.07275390625,
-0.103515625,
0.0198974609375,
0.0240478515625,
-0.022216796875,
0.08642578125,
0.04833984375,
-0.048583984375,
0.029296875,
-0.0303955078125,
-0.0... | 13,704,452 | 13704452 | |
Transactions Online
Copy
Tomu MAKITA, Atsuki NAGAO, Tatsuki OKADA, Kazuhisa SETO, Junichi TERUYAMA, "A Satisfiability Algorithm for Deterministic Width-2 Branching Programs" in IEICE TRANSACTIONS on Fundamentals, vol.
E105-A, no. 9, pp. 1298-1308, September 2022, doi: 10.1587/transfun.2021EAP1120.
Abstract: A branchin... | 4 | [
-0.0002899169921875,
-0.021240234375,
-0.07666015625,
-0.0107421875,
-0.01251220703125,
-0.038818359375,
-0.007781982421875,
0.0322265625,
-0.041015625,
0.064453125,
-0.032958984375,
0.035888671875,
0.10302734375,
0.060302734375,
-0.01904296875,
0.034423828125,
-0.0201416015625,
-0... | 13,704,453 | 13704453 | |
ztrsen - Linux Manuals (3)
ztrsen (3) - Linux Manuals
NAME
ztrsen.f -
SYNOPSIS
Functions/Subroutines
subroutine ztrsen (JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, W, M, S, SEP, WORK, LWORK, INFO)
ZTRSEN
Function/Subroutine Documentation
subroutine ztrsen (characterJOB, characterCOMPQ, logical, dimension( * )SELECT,... | 4 | [
-0.10791015625,
0.05615234375,
-0.1298828125,
0.00482177734375,
-0.0048828125,
-0.031005859375,
-0.005523681640625,
0.1064453125,
-0.10107421875,
-0.029052734375,
0.051025390625,
-0.027587890625,
0.0966796875,
0.0103759765625,
-0.07177734375,
0.01312255859375,
-0.0081787109375,
0.0... | 13,704,454 | 13704454 | |
1. Introduction2. A Smooth Penalty Function3. The Smoothed Penalty Algorithm4. Computational Aspects and Numerical Results Results with a starting point Results with a starting point Results with a starting pointFundingConflicts of InterestCite this paperReferences
OJOpOpen Journal of Optimization2325-7105Scientific Re... | 5 | [
-0.04736328125,
0.07861328125,
0.01055908203125,
-0.007720947265625,
-0.0269775390625,
-0.045166015625,
0.049072265625,
-0.0128173828125,
-0.027587890625,
0.021728515625,
-0.0238037109375,
0.025146484375,
0.0250244140625,
-0.00110626220703125,
-0.08447265625,
0.040771484375,
0.031738... | 13,704,455 | 13704455 | |
Class 11 Nuclear Physics Notes
Unit 5 – Modern Physics
Chapter 24 -Nuclear Physics
Nuclear Physics:
The branch of physics dealing with the study of atomic nucleus is called nuclear physics. It includes the study of properties of nucleus, nuclear phenomena, interaction of nuclei, nuclear
transmutation and their appli... | 4 | [
0.04736328125,
0.00860595703125,
-0.038330078125,
0.052001953125,
0.08154296875,
0.02294921875,
0.007110595703125,
0.11181640625,
-0.033935546875,
0.06982421875,
0.0169677734375,
0.01348876953125,
-0.0322265625,
0.002044677734375,
0.0177001953125,
-0.103515625,
0.028564453125,
-0.0... | 13,704,456 | 13704456 | |
Tarjan's Algorithm Guide: Upsolving Competitive Programming Challenges
Tarjan Algorithm Beginner Overview
Hello everyone 👋, welcome back to another article, today are going to dive into a very cool graph algorithm called "Tarjan", we are going to see what it is, how it works, what it's used for, and we
are going to u... | 5 | [
-0.055908203125,
-0.0166015625,
-0.06396484375,
-0.03125,
0.04150390625,
-0.06640625,
0.007720947265625,
0.052978515625,
-0.0625,
-0.0218505859375,
-0.07958984375,
0.051513671875,
0.04541015625,
-0.0230712890625,
-0.0267333984375,
0.0264892578125,
-0.0027313232421875,
0.03588867187... | 13,704,457 | 13704457 | |
ce
Use a significance level of \(\alpha=0.05\) and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject \(H_{0}\) or fail to reject \(H_{0 .}\) ) b.
Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: Th... | 5 | [
0.024658203125,
0.1259765625,
0.00933837890625,
-0.00457763671875,
-0.01336669921875,
-0.0012664794921875,
0.00112152099609375,
0.0228271484375,
-0.024169921875,
0.048095703125,
0.08154296875,
-0.1552734375,
0.00098419189453125,
0.033447265625,
0.0791015625,
-0.03955078125,
-0.048095... | 13,704,458 | 13704458 | |
Konishi anomaly
Konishi anomaly
From Scholarpedia
Kenichi Konishi (2009), Scholarpedia, 4(3):7121. doi:10.4249/scholarpedia.7121 revision #91410 [link to/cite this article]
The Konishi anomaly is a set of exact quantum-mechanical relations involving various composite operators in supersymmetric gauge theories. The... | 4 | [
-0.134765625,
-0.029541015625,
0.06982421875,
0.06884765625,
-0.006072998046875,
-0.003448486328125,
-0.030517578125,
0.010498046875,
0.0205078125,
-0.026123046875,
0.01171875,
0.004913330078125,
-0.036376953125,
0.03369140625,
-0.017822265625,
-0.038330078125,
0.0546875,
-0.025146... | 13,704,459 | 13704459 | |
d
If the magnetic field a distance \(r\) away from a current carrying wire is \(10 \mathrm{~T}\), what will be the total magnetic field at \(r\) if another wire is placed a distance \(2 r\) from the
original wire and has a current twice as strong flowing in the opposite direction? The magnetic field generated by a cu... | 4 | [
-0.08984375,
0.06640625,
-0.0103759765625,
-0.0751953125,
0.056640625,
0.001953125,
0.037841796875,
0.0693359375,
-0.06103515625,
0.004364013671875,
0.057373046875,
-0.0208740234375,
0.07763671875,
0.05810546875,
-0.046875,
0.11865234375,
-0.044677734375,
0.0019378662109375,
-0.1... | 13,704,460 | 13704460 | |
2012 AMC 10A Problems/Problem 13
The following problem is from both the 2012 AMC 12A #8 and 2012 AMC 10A #13, so both problems redirect to this page.
Problem
An iterative average of the numbers 1, 2, 3, 4, and 5 is computed the following way. Arrange the five numbers in some order. Find the mean of the first two... | 4 | [
0.0128173828125,
0.035888671875,
0.04150390625,
-0.142578125,
-0.07470703125,
-0.01055908203125,
-0.048095703125,
0.048583984375,
-0.035400390625,
0.0859375,
-0.059814453125,
0.0303955078125,
0.039794921875,
0.0027618408203125,
-0.06689453125,
0.025390625,
-0.0157470703125,
-0.0303... | 13,704,461 | 13704461 | |
Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism (history)
From Scholarpedia
Tom W B Kibble (2009), Scholarpedia, 4(1):8741. doi:10.4249/scholarpedia.8741 revision #137393 [link to/cite this article]
This page summarizes the history of the development of the Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism. M... | 4 | [
-0.2177734375,
-0.0277099609375,
0.0235595703125,
0.052978515625,
-0.053466796875,
0.0966796875,
-0.002685546875,
0.057861328125,
-0.047607421875,
-0.015380859375,
0.04443359375,
0.01177978515625,
0.05224609375,
-0.053466796875,
-0.0078125,
-0.0299072265625,
-0.019287109375,
-0.021... | 13,704,462 | 13704462 | |
Equations
Introduction
The keyword equation defines GAMS names that may be used in the model statement. A GAMS equation name is associated with the symbolic algebraic relationships that will be used to generate the
constraints in a model. The algebraic relationships are defined by using constants, mathematical operato... | 4 | [
-0.09375,
-0.00958251953125,
-0.0284423828125,
0.0693359375,
-0.0537109375,
0.01251220703125,
0.06103515625,
0.0091552734375,
-0.04150390625,
0.00482177734375,
0.091796875,
-0.020751953125,
0.123046875,
-0.039306640625,
0.038818359375,
0.04833984375,
-0.0322265625,
-0.0556640625,
... | 13,704,463 | 13704463 | |
an
Graph the solution set, and write it using interval notation \(-4<2(x+1) \leq 6\)
Short Answer
Expert verified
The solution in interval notation is \((-3, 2]\).
Step by step solution
01
- Simplify the inequality
First, simplify the inequality by distributing the 2 on the right side: \(-4 < 2(x + 1) \leq 6\)... | 4 | [
0.00970458984375,
0.03369140625,
0.05810546875,
-0.043701171875,
-0.055419921875,
0.0257568359375,
-0.04541015625,
0.07958984375,
-0.04736328125,
-0.023193359375,
-0.051513671875,
-0.0419921875,
0.09375,
-0.000873565673828125,
0.057861328125,
0.04248046875,
0.01019287109375,
-0.068... | 13,704,464 | 13704464 | |
Geodesic
Given two points on a surface, the geodesic is defined as the shortest path on the surface connecting them. Geodesics have many interesting properties. The Normal Vector to any point of a Geodesic
arc lies along the normal to a surface at that point (Weinstock 1974, p. 65).
Furthermore, no matter how badly a... | 4 | [
-0.045166015625,
-0.0205078125,
0.06396484375,
-0.01446533203125,
-0.006866455078125,
-0.038330078125,
-0.00628662109375,
0.08447265625,
0.07421875,
0.005218505859375,
-0.030517578125,
0.06298828125,
0.0146484375,
0.000797271728515625,
-0.037353515625,
-0.0537109375,
-0.068359375,
... | 13,704,465 | 13704465 | |
Perimeter of a Triangle Formula - Definition, Solved Examples and FAQs
Any two-dimensional figure's perimeter is the distance measured around it. By adding the lengths of each of the sides, we can measure the diameter of any closed form. In this article, you will learn
the definition of perimeter and how to calculate t... | 4 | [
0.000858306884765625,
0.06982421875,
-0.0888671875,
0.00165557861328125,
0.0022125244140625,
-0.026123046875,
-0.01519775390625,
0.103515625,
0.07763671875,
0.031005859375,
0.046142578125,
-0.037109375,
0.037841796875,
0.0400390625,
0.0673828125,
-0.07177734375,
-0.0390625,
0.03369... | 13,704,466 | 13704466 | |
Putnam's Arithmetic
Contents
179
Partnership 181
Alligation Medial 187
Evolution 193
Questions for Review 200
Geometrical Progression 206
Mental and Oral 245
Geometrical Definitions 253
Popular passages
Page 214
-
The circumference ... | 4 | [
0.040283203125,
0.02294921875,
0.04345703125,
-0.057373046875,
-0.01251220703125,
0.042236328125,
-0.04345703125,
0.039306640625,
0.08642578125,
0.0244140625,
0.0189208984375,
0.01171875,
-0.0130615234375,
0.025634765625,
0.017333984375,
-0.07958984375,
-0.125,
0.06884765625,
-0.... | 13,704,467 | 13704467 | |
Leetcode 373 Find K Pairs with Smallest Sums
You are given two integer arrays nums1 and nums2 sorted in ascending order and an integer k.
Define a pair (u, v) which consists of one element from the first array and one element from the second array.
Return the k pairs (u1, v1), (u2, v2), …, (uk, vk) with the smallest... | 4 | [
0.021728515625,
0.06884765625,
-0.0634765625,
-0.0830078125,
0.041259765625,
-0.002655029296875,
0.02685546875,
-0.1337890625,
-0.0859375,
-0.01361083984375,
-0.10302734375,
-0.025146484375,
0.0225830078125,
-0.0341796875,
-0.12109375,
0.03271484375,
-0.05029296875,
0.009033203125,... | 13,704,468 | 13704468 | |
'Fair Partitions' - II
'Fair Partitions' - II
Here we propose a proof for a weaker version of the claim floated in the last post here: Any convex polygon, for any N, can be partitioned into N equal area and equal perimeter pieces, *if the pieces
need not be convex*.
-----------------
Proof for possibility of partiti... | 4 | [
-0.049560546875,
0.0537109375,
0.031982421875,
-0.03662109375,
0.0174560546875,
-0.076171875,
0.09326171875,
-0.017578125,
0.0238037109375,
0.003570556640625,
-0.13671875,
-0.0238037109375,
0.048828125,
0.08642578125,
0.0093994140625,
-0.06591796875,
0.058837890625,
0.0034942626953... | 13,704,469 | 13704469 | |
[Solved]
In the given diagram, CD and BD are bisectors of &ang
In the given diagram, CD and BD are bisectors of ∠C and ∠ABE respectively. If ∠BDC = 28°, then the value of (∠ABC + ∠ACB) is
This question was previously asked in
OTET 2022 (2nd) Exam (Mathematics & Science) Official Paper-II (Held On: 01 July, 2023)
V... | 4 | [
-0.0167236328125,
0.072265625,
0.046142578125,
0.0189208984375,
0.01470947265625,
-0.052001953125,
0.05712890625,
0.0859375,
0.1025390625,
0.00179290771484375,
0.11572265625,
-0.111328125,
0.0615234375,
0.000194549560546875,
0.08935546875,
0.01611328125,
-0.1044921875,
-0.060546875... | 13,704,470 | 13704470 | |
Solvable groups. Galois' theorem. | JustToThePointSolvable groups. Galois' theorem.
Seeing much, suffering much, and studying much are the three pillars of learning, Benjamin Disraeli
Definition. Let G be a group. We say that G is solvable or G is a solvable group if it has a normal tower whose subquotients are al... | 5 | [
-0.0810546875,
-0.0517578125,
0.053466796875,
0.0830078125,
0.06591796875,
0.0284423828125,
0.023193359375,
-0.052978515625,
0.01904296875,
-0.09619140625,
-0.015625,
0.023193359375,
0.047607421875,
-0.0615234375,
-0.072265625,
-0.006317138671875,
-0.07421875,
0.005126953125,
-0.... | 13,704,471 | 13704471 | |
Polynomial Regression — Machine Learning Works (2024)
What is Polynomial Regression?
My last tutorial discussed multiple linear regression, an algorithm that can find a linear relationship between several independent variables and one dependent variable.
But what if we want to be able to identify more complex correla... | 4 | [
-0.08984375,
-0.03857421875,
-0.035400390625,
0.06640625,
0.068359375,
0.005584716796875,
-0.06298828125,
-0.08740234375,
0.0196533203125,
-0.007110595703125,
-0.05078125,
0.0673828125,
0.02783203125,
0.0242919921875,
-0.009033203125,
0.059326171875,
-0.0458984375,
0.037353515625,
... | 13,704,472 | 13704472 | |
How do you find the derivative of 3x^(lnx)? | HIX Tutor
How do you find the derivative of #3x^(lnx)#?
Answer 1
Let #y=3x^{ln(x)}#, then #ln(y)=ln(3x^{ln(x)})=ln(3)+ln(x^{ln(x)})=ln(3)+(ln(x))^{2}# (using the properties that #ln(AB)=ln(A)+ln(B)# for #A,B > 0# and #ln(A^{p})=pln(A)# for #A > 0#).
Now differentiate #\... | 5 | [
-0.0002269744873046875,
-0.10888671875,
-0.01116943359375,
-0.04443359375,
-0.0213623046875,
-0.00775146484375,
0.078125,
-0.0634765625,
0.06494140625,
0.048828125,
0.08154296875,
0.0517578125,
0.00604248046875,
0.057373046875,
0.07958984375,
0.05224609375,
-0.181640625,
0.04516601... | 13,704,473 | 13704473 | |
Body Weight and the Energetics of Temperature Regulation
ABSTRACT
1. The interactions of basal rate of metabolism, thermal conductance, body temperature, lower limit of thermoneutrality, and body weight in mammals are compatible with Newton’s law of cooling.
2. A small body weight will normally reduce the level and... | 4 | [
0.04296875,
0.028076171875,
0.0023345947265625,
0.1328125,
0.014404296875,
0.01214599609375,
0.02001953125,
-0.0272216796875,
0.00360107421875,
0.0859375,
-0.0234375,
-0.09912109375,
-0.044189453125,
0.07421875,
0.09716796875,
-0.07958984375,
0.01544189453125,
0.032470703125,
-0.... | 13,704,474 | 13704474 | |
Simplify expressions using multiple index laws with integer base and negative powers | Stage 3 Maths | HK Secondary S1-S3
We've learned a lot of index laws including the multiplication law, the division law, the power of a power law and the zero index law.
Here is a summary of the laws we know so far.
Summary of laws... | 4 | [
-0.03857421875,
0.07958984375,
-0.019775390625,
0.08251953125,
-0.0218505859375,
-0.068359375,
-0.006378173828125,
-0.05859375,
0.06884765625,
0.0400390625,
0.05615234375,
-0.0216064453125,
0.054443359375,
0.072265625,
0.0234375,
0.0830078125,
-0.046875,
0.1494140625,
-0.09912109... | 13,704,475 | 13704475 | |
Speaker Verification Using i-vectors
Speaker verification, or authentication, is the task of confirming that the identity of a speaker is who they purport to be. Speaker verification has been an active research area for many years. An
early performance breakthrough was to use a Gaussian mixture model and universal bac... | 4 | [
0.03173828125,
-0.111328125,
0.00041961669921875,
-0.06396484375,
0.02001953125,
0.038330078125,
0.046630859375,
-0.05078125,
-0.040283203125,
-0.0849609375,
-0.000209808349609375,
0.043701171875,
0.0201416015625,
0.00701904296875,
-0.057373046875,
-0.09814453125,
0.1015625,
0.1162... | 13,704,476 | 13704476 | |
Langmuir adsorption model of Physics Topics | Question AI
Langmuir adsorption model
<div id="mw-content-wrapper"><div id="mw-content"><div id="content" class="mw-body" role="main"><div id="bodyContentOuter"><div class="mw-body-content" id="bodyContent"><div id="mw-content-text"
class="mw-body-content mw-content-ltr" l... | 4 | [
-0.10595703125,
-0.07275390625,
0.00020122528076171875,
0.09912109375,
0.05615234375,
-0.07861328125,
0.0595703125,
-0.007232666015625,
0.0206298828125,
0.0220947265625,
0.056884765625,
-0.00469970703125,
-0.02734375,
0.049560546875,
0.05126953125,
-0.032470703125,
0.028564453125,
... | 13,704,477 | 13704477 | |
Connections and Parallel Transport
(This note was originally written by Keenan Crane; at this point all responsibility for content and/or errors lies with Peter Schröder)
Parallel Transport
Suppose we have a tangent vector \(u = df(X)\) sitting on an immersed surface \(f(M)\). How do we move from one point of the su... | 4 | [
-0.02001953125,
-0.0927734375,
0.02490234375,
-0.04150390625,
-0.0107421875,
0.0361328125,
0.076171875,
-0.01116943359375,
0.019287109375,
0.056396484375,
0.0595703125,
0.0142822265625,
-0.03369140625,
0.055908203125,
-0.0242919921875,
-0.0284423828125,
-0.09228515625,
0.0810546875... | 13,704,478 | 13704478 | |
Alternating CurrentOverhead LinesPower System
Ferranti Effect – Causes, Circuit Diagram, Advantages & Disadvantages
Ferranti Effect in Power Lines: Circuit Diagram, Causes, Effects, Controlling, Advantages and Disadvantages
As we know that electricity is generated at power generation plants using huge electromechan... | 4 | [
-0.07421875,
0.1396484375,
0.005401611328125,
0.0439453125,
0.033447265625,
0.02490234375,
-0.009033203125,
0.0947265625,
0.0634765625,
-0.059814453125,
-0.005035400390625,
0.0400390625,
0.0810546875,
-0.103515625,
-0.033203125,
0.00189971923828125,
-0.0123291015625,
-0.01391601562... | 13,704,479 | 13704479 | |
Warm-start · Krylov.jl
Most Krylov methods in this module accept a starting point as argument. The starting point is used as initial approximation to a solution.
solver = CgSolver(A, b)
cg!(solver, A, b, itmax=100)
if !issolved(solver)
cg!(solver, A, b, solver.x, itmax=100) # cg! uses the approximate solution `solve... | 4 | [
-0.12890625,
-0.009033203125,
-0.0615234375,
0.00106048583984375,
-0.059814453125,
-0.04541015625,
-0.01483154296875,
0.00762939453125,
-0.07177734375,
0.05322265625,
-0.039794921875,
-0.00762939453125,
0.045166015625,
0.02099609375,
0.0062255859375,
0.010498046875,
-0.037841796875,
... | 13,704,480 | 13704480 | |
[molpro-user] spacial extent <R**2>
H. -J. Werner werner at theochem.uni-stuttgart.de
Sat Jul 2 10:55:19 BST 2005
Dear Dr. Eisfeld,
I hope the following explains your questions about the quadrupole moments
in Molpro.
Best regards
Joachim Werner
1.) Definition of second moments: The electronic contributions are negat... | 4 | [
-0.010498046875,
0.03271484375,
-0.0294189453125,
-0.002532958984375,
-0.06298828125,
-0.0673828125,
0.030517578125,
0.06982421875,
0.060302734375,
-0.06494140625,
0.06103515625,
0.038818359375,
0.007110595703125,
0.0045166015625,
0.00118255615234375,
0.00396728515625,
-0.02026367187... | 13,704,481 | 13704481 | |
13. [Work] | High School Physics | 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.
Section 1: Motion
Math Review ... | 4 | [
-0.06884765625,
0.03173828125,
-0.00970458984375,
-0.04541015625,
0.015625,
-0.013671875,
-0.043212890625,
0.0225830078125,
0.0166015625,
0.08349609375,
0.049072265625,
0.01470947265625,
-0.045654296875,
0.0303955078125,
-0.005584716796875,
0.0240478515625,
-0.047119140625,
0.05688... | 13,704,482 | 13704482 | |
C3 Question Query
C3 qu 4b)i) Ex 6F Heinemann’s book Query
Qu4.b)i)
Solve, in the interval 0 ≤ θ ≤ 360
sec (2θ - 15) = cosec 135
Now the obvious solution is simply:
cos (2θ - 15) = sin 135
2θ - 15 = cos-1 (sin 135)
2θ - 15 = 45, 315, 405, 675
θ = 30, 165, 210, 345
However, a... | 4 | [
-0.044921875,
0.083984375,
0.01385498046875,
0.0026092529296875,
-0.01708984375,
0.0205078125,
-0.0240478515625,
0.030029296875,
0.035888671875,
0.0098876953125,
0.0849609375,
-0.11572265625,
0.01055908203125,
0.041748046875,
0.0103759765625,
-0.053466796875,
-0.033203125,
0.027832... | 13,704,483 | 13704483 | |
Determining the Relation between Two Given Vectors
Question Video: Determining the Relation between Two Given Vectors Mathematics • Third Year of Secondary School
Given that 𝐀 and 𝐁 satisfy 𝐀 × 𝐁 = 𝟬, 𝐀 ≠ 𝟬 and 𝐁 ≠ 𝟬, how are the two vectors related? [A] parallel [B] perpendicular
Video Transcript
Given tha... | 4 | [
-0.0654296875,
-0.0634765625,
-0.03173828125,
-0.06298828125,
0.023193359375,
0.043212890625,
-0.0084228515625,
-0.034423828125,
0.0771484375,
0.031005859375,
0.09716796875,
-0.0263671875,
0.07568359375,
0.06591796875,
-0.0130615234375,
0.037353515625,
-0.056396484375,
0.0263671875... | 13,704,484 | 13704484 | |
Equation of an ellipse or hyperbola through five points
Yesterday I wrote about the equation of a circle through three points. This post will be similar, looking at the equation of an ellipse or hyperbola through five points. As with the earlier post, we
can write down an elegant equation right away. Making the equat... | 4 | [
-0.033447265625,
-0.013916015625,
-0.052490234375,
-0.01043701171875,
0.1005859375,
-0.0252685546875,
-0.0556640625,
-0.059814453125,
0.06591796875,
0.0458984375,
0.1044921875,
0.0189208984375,
-0.0244140625,
0.01263427734375,
0.0091552734375,
0.09716796875,
-0.07470703125,
0.02905... | 13,704,485 | 13704485 | |
ia
Description
The pmedian problem is defined as follows: given a set I={1...n} of
locations and a transportation cost W between each pair of
locations. Select a subset S of p location minimizing the sum of the
distances between each location and the closest one in S.
There are currently 40 data files from the OR-LIB... | 4 | [
-0.040283203125,
-0.0034332275390625,
0.06884765625,
0.0135498046875,
0.0286865234375,
-0.037109375,
0.046142578125,
0.1259765625,
-0.08935546875,
0.07763671875,
0.01708984375,
0.021240234375,
0.061279296875,
0.0024261474609375,
-0.050537109375,
0.029052734375,
0.033203125,
-0.0520... | 13,704,486 | 13704486 | |
exponential rate limiting
Following my previous post on rate limiting with GCRA, leaky buckets without the buckets, I reviewed my old notes on rate limiting for Exim. I thought I should do a new write-up of the ideas that I
hope will be more broadly interesting.
Exponential rate limiting uses an exponentially-weighted... | 4 | [
-0.162109375,
0.019775390625,
-0.0045166015625,
-0.0076904296875,
0.012939453125,
-0.07763671875,
0.0164794921875,
0.02685546875,
0.107421875,
0.072265625,
0.0205078125,
-0.03369140625,
0.03369140625,
0.0303955078125,
0.01385498046875,
-0.015869140625,
0.06884765625,
-0.02587890625... | 13,704,487 | 13704487 | |
s a
Describe the \(x\) -values at which \(f\) is differentiable. \(f(x)=\left\\{\begin{array}{ll}x^{2}-4, & x \leq 0 \\ 4-x^{2}, & x>0\end{array}\right.\)
Short Answer
Expert verified
The function is differentiable for all real x-values.
Step by step solution
01
Determine differentiability for the formula \(x^2-... | 4 | [
0.04248046875,
0.0301513671875,
-0.057861328125,
-0.0634765625,
-0.064453125,
-0.0556640625,
-0.00067138671875,
0.10205078125,
0.001617431640625,
-0.01220703125,
0.0654296875,
-0.02001953125,
0.004364013671875,
0.022216796875,
-0.038818359375,
0.031982421875,
0.009521484375,
-0.098... | 13,704,488 | 13704488 | |
Investigate Linear Infeasibilities
This example shows how to investigate the linear constraints that cause a problem to be infeasible. For further details about these techniques, see Chinneck [1] and [2].
If linear constraints cause a problem to be infeasible, you might want to find a subset of the constraints that i... | 5 | [
-0.04443359375,
-0.003448486328125,
-0.06396484375,
-0.0107421875,
0.06494140625,
-0.0225830078125,
0.007171630859375,
0.01495361328125,
-0.1064453125,
0.0250244140625,
-0.07421875,
-0.0242919921875,
0.10400390625,
0.0546875,
-0.0037689208984375,
-0.013671875,
0.11279296875,
-0.063... | 13,704,489 | 13704489 | |
Improving Statistical Machine Translation Quality Using Differential Evolution | Informatica | Vilnius University Institute of Data Science and Digital Technologies
1 Introduction
A translation is a challenging and creative act. A Machine Translation (MT) (Dorr
et al.
,
1999
; Bungum and Gambäck,
2010
) can ea... | 4 | [
-0.1064453125,
-0.0220947265625,
0.01226806640625,
0.01251220703125,
0.00445556640625,
-0.0625,
-0.0194091796875,
0.09716796875,
0.08154296875,
0.0017242431640625,
0.036376953125,
-0.0223388671875,
0.10205078125,
-0.00506591796875,
-0.00537109375,
-0.0169677734375,
0.01220703125,
0... | 13,704,490 | 13704490 | |
Transient Response of RL Circuit:
Considers a Transient Response of RL Circuit consisting of a resistance and inductance as shown in Fig. 12.1. The inductor in the circuit is initially uncharged and is in series with the resistor.
When the switch S is closed, we an find the complete solution for the current. Applicat... | 5 | [
-0.1611328125,
0.10888671875,
0.052734375,
0.078125,
0.02734375,
0.080078125,
-0.025146484375,
0.02490234375,
0.068359375,
0.0927734375,
0.07763671875,
-0.026123046875,
0.03125,
0.01007080078125,
-0.01385498046875,
0.0047607421875,
-0.06591796875,
-0.0302734375,
0.0142822265625,
... | 13,704,491 | 13704491 | |
The jacobian matrix of partial derivatives?
•
• Thread starter andlook
• Start date
In summary, df represents the linear transformation that approximates the map f in differential geometry.
In differential geometry what does df mean as in
[tex]
\mbox{f} : \mathbb{R}^m \mbox{ to } \mathbb{R}^n [/tex]
Then ... | 4 | [
-0.026123046875,
-0.0076904296875,
0.003143310546875,
-0.091796875,
0.042236328125,
0.041748046875,
0.024658203125,
-0.004608154296875,
-0.02978515625,
0.041748046875,
0.06201171875,
0.064453125,
-0.057373046875,
-0.0322265625,
0.0042724609375,
0.02783203125,
-0.0341796875,
0.03295... | 13,704,492 | 13704492 | |
MOVIMIENTO CIRCULAR UNIFORME
Questions and Answers
• 1.
Una esfera hace 5 / π revoluciones por segundo, al extremo de una cuerda de 3m. Lavelocidad de la esfera es:
□ A.
□ B.
□ C.
□ D.
□ E.
Correct Answer
B. B. 30 m /seg.
Explanation
The given question provid... | 4 | [
0.041748046875,
0.00787353515625,
-0.029541015625,
-0.0703125,
-0.061279296875,
-0.00494384765625,
-0.00555419921875,
0.080078125,
0.038330078125,
0.0216064453125,
0.11572265625,
-0.0247802734375,
0.01611328125,
-0.037841796875,
-0.002593994140625,
0.0167236328125,
-0.006195068359375... | 13,704,493 | 13704493 | |
Symmetric
Jump to navigation Jump to search
In mathematics, a symmetric tensor is a tensor that is invariant under a permutation of its vector arguments:
${\displaystyle T(v_{1},v_{2},\ldots ,v_{r})=T(v_{\sigma 1},v_{\sigma 2},\ldots ,v_{\sigma r})}$
for every permutation σ of the symbols {1, 2, ..., r}. Altern... | 4 | [
-0.051025390625,
-0.06298828125,
0.03857421875,
-0.054931640625,
0.01190185546875,
0.057373046875,
-0.0294189453125,
-0.05126953125,
-0.0164794921875,
-0.004791259765625,
-0.0264892578125,
0.0201416015625,
-0.046142578125,
0.078125,
0.0146484375,
0.08154296875,
0.0145263671875,
0.1... | 13,704,494 | 13704494 | |
er
Problem Model Prompt
P_Inequality_5 GPT-4 Turbo Root C w/ H
Ground Truth Answer: 1
Use in Code
import champ_dataset # "pip install champ-dataset" if necessary
dataset = champ_dataset.load('v0')
problem = dataset['P_Inequality_5']
messages = problem.conversations['GPT-4 Turbo|Root C w/ H'].messages... | 5 | [
-0.02783203125,
0.0693359375,
-0.043212890625,
-0.031982421875,
-0.037841796875,
-0.027587890625,
0.004302978515625,
0.07763671875,
-0.0201416015625,
-0.037353515625,
0.0673828125,
-0.0311279296875,
0.040283203125,
-0.017822265625,
0.06884765625,
-0.01385498046875,
0.017822265625,
... | 13,704,495 | 13704495 | |
Simplified criterion for second order effects of isolated members: the slenderness λ[lim] following the EN Eurocode recommendation
Eurocode 2 part 1-1: Design of concrete structures 5.8.3.1 (1)
Second order effects may be ignored if the slenderness (λ = l[0]/i) is below a certain value λ[lim].
The recommended value... | 4 | [
-0.05810546875,
-0.00116729736328125,
0.09130859375,
0.048095703125,
0.07470703125,
0.056396484375,
-0.0196533203125,
0.0732421875,
0.0011749267578125,
-0.041015625,
0.1005859375,
-0.02685546875,
0.03955078125,
0.0020751953125,
0.02197265625,
0.03466796875,
-0.02001953125,
0.032714... | 13,704,496 | 13704496 | |
PPT - Chapter 3 Graphs, Trees, and Tours PowerPoint Presentation, free download - ID:6800373
1. Chapter 3Graphs, Trees, and Tours Presented by Qibin Cai
2. Overview • Terminology in graph theory • Trees • - Minimum spanning tree (MST) • - Shortest path tree (SPT) • Tours • - TSP tours
3. Building trees Kruskal’s a... | 5 | [
-0.0269775390625,
0.03759765625,
-0.0130615234375,
-0.0263671875,
0.01104736328125,
-0.06201171875,
0.005584716796875,
0.05810546875,
-0.05078125,
0.06591796875,
-0.022705078125,
0.0185546875,
0.06103515625,
0.033447265625,
0.0245361328125,
0.016845703125,
-0.017578125,
-0.02307128... | 13,704,497 | 13704497 | |
Science:Math Exam Resources/Courses/MATH102/December 2019/Question 08(b)
MATH102 December 2019
Work in progress: this question page is incomplete, there might be mistakes in the material you are seeing here.
• Q1 • Q2 • Q3 • Q4 (a) • Q4 (b) • Q4 (c) • Q4 (d) • Q5 (a) • Q5 (b) • Q5 (c) • Q5 (d) • Q6 • Q7 • Q8(a) •... | 5 | [
-0.0224609375,
0.0072021484375,
0.0277099609375,
-0.02734375,
0.034912109375,
0.06787109375,
-0.0263671875,
-0.001983642578125,
-0.01409912109375,
0.1298828125,
0.103515625,
-0.1396484375,
-0.0673828125,
-0.00750732421875,
-0.016845703125,
0.11279296875,
-0.01904296875,
-0.06152343... | 13,704,498 | 13704498 | |
Polynomial Calculator
Polynomial Calculator
Calculate polynomials step by step
The calculator will find (with steps shown) the sum, difference, product, and result of the division of two polynomials (quadratic, binomial, trinomial, etc.). It will also calculate the roots of the
polynomials and factor them. Both univ... | 4 | [
0.0030364990234375,
-0.0167236328125,
-0.060791015625,
-0.010986328125,
-0.0478515625,
0.0223388671875,
-0.1044921875,
0.017333984375,
0.0113525390625,
0.0284423828125,
-0.004180908203125,
-0.0250244140625,
0.06982421875,
0.01531982421875,
-0.01287841796875,
0.042724609375,
-0.102050... | 13,704,499 | 13704499 |