bartowski/YuLan-Mini-GGUF
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# Do Ideal Gases Absorb Heat?
1. Jul 11, 2007
### s.p.q.r
Hi,
Do IDEAL gases absorb heat when they expand? I asked a few people this question, half said yes and half said no.
Im after a simple yes or no answer with a small explanation to clarify this one.
If anyone knows, please reply.
Cheers!
2. Jul 11, 2007
#... |
For any time, t, we have the following two equations: Step 3: dJ / dW and dJ / db. Applying the backpropagation algorithm on these circuits amounts to repeated application of the chain rule. Our brain changes their connectivity over time to represents new information and requirements imposed on us. Then it is said that... |
# News this Week
Science 01 Sep 2000:
Vol. 289, Issue 5484, pp. 1442
1. NIH GUIDELINES
# Researchers Get Green Light for Work on Stem Cells
1. Gretchen Vogel
The biomedical community is moving quickly to take advantage of new guidelines from the National Institutes of Health (NIH) for use of human pluripotent stem... |
# RD Sharma Solutions for Class 8 Maths Chapter 1 - Rational Numbers Exercise 1.7
In Exercise 1.7, we shall discuss problems based on the division of rational numbers and their properties. This set of solutions are prepared by our expert tutor team to help students understand the fundamentals easily. Solutions for RD S... |
# complex arithmetic-geometric mean
It is also possible to define the arithmetic-geometric mean for complex numbers. To do this, we first must make the geometric mean unambiguous by choosing a branch of the square root. We may do this as follows: Let $a$ and $b$ br two non-zero complex numbers such that $a\neq sb$ for... |
# Matlab pole zero to transfer function pdf
Zeros, poles and static gain of an lti model are computed with the commands zero. Matlab code to plot ber of qpsk under awgn channel method. Correlate pulse response in serdes designer to ibisami simulation in the serdes designer app, plot the ctle transfer function and puls... |
Inverse Function Thm
1. Nov 3, 2006
ak416
Im not sure whether this is a "Homework Question", but it is a question regarding the proof of the Inverse Function Theorem. It starts like this:
Let k be the linear transformation Df(a). Then k is non-singular, since det(f '(a)) != 0. Now D((k^-1(f(a))) = D(k^-1)(f(a)) (Df(a... |
SortPermutation - Maple Help
StringTools
SortPermutation
return a permutation that sorts a list of strings
Calling Sequence SortPermutation( los )
Parameters
los - list(string); a list of strings
Description
• The SortPermutation( los ) command returns a permutation $p$ that sorts the list los, that is, for... |
Principle of Inclusion-Exclusion – IMT DeCal
# Principle of Inclusion-Exclusion
by Suraj Rampure
Here, we will re-visit the Principle of Inclusion and Exclusion.
Note: You may find it easier to understand the Principle of Inclusion-Exclusion by watching a video. Two from this class are linked below. The former also... |
# Proof for Cosine of 18 degrees in Geometric method
You have learned how to derive the value of cos 18 degrees in trigonometric method. It is time to learn how to derive the value of cosine of angle eighteen degree experimentally in geometric method. It is practically possible by constructing a right triangle (or rig... |
# Thread: Find a set of vectors whose span is the kernel of the following matrix.
1. ## Find a set of vectors whose span is the kernel of the following matrix.
Find a set of vectors whose span is the kernel of the following matrix:
1 1 2 0
2 1 0 -1
0 1 4 1
When I calculate the kernel I get:
2s+t
-4s-t
s
t
To find... |
# Find the Period of the rotation, the math gets tricky
## Homework Statement
[PLAIN]http://img573.imageshack.us/img573/6932/72101948.png [Broken]
In the diagram above, a block is on a cone rotating above a height of h and is a distance r from the rotating axis. The cone is subjected to gravity, but is resisting due ... |
Math Help - amplitude for cos graph
1. amplitude for cos graph
from the diagram, i can say that the
amplitude, a is 3 but the ans given is 1.5.
y intercept, b is 0 but the ans given is 1.5
and how to determine the n?? the ans for n is 4.
i need the above ans before continue to b question..tq
2. I had a big thing... |
## Engineering Mechanics: Statics & Dynamics (14th Edition)
Published by Pearson
# Chapter 13 - Kinetics of a Particle: Force and Acceleration - Section 13.4 - Equations of Motion: Rectangular Coordinates - Problems - Page 130: 12
#### Answer
$F=\frac{m(g+a_B)\sqrt{4y^2+d^2}}{4y}$
#### Work Step by Step
We can de... |
## Monday, July 13, 2015
### Solve for all 6 complex roots of the equation $x^6+10x^5+70x^4+288x^3+880x^2+1600x+1792=0$ (Heuristic Solution)
Solve for all 6 complex roots of the equation $x^6+10x^5+70x^4+288x^3+880x^2+1600x+1792=0$.
My solution:
Let $f(x)=x^6+10x^5+70x^4+288x^3+880x^2+1600x+1792=(x^2+ax+b)(x^2+px+q... |
# Question about this linear equation with fractions
hackedagainanda
Homework Statement:
8/(x - 2) - (13/2) = 3/(2x - 4)
Relevant Equations:
None.
I use 2x -4 as the LCD and turn 8/(x - 2) - (13/2) = 3 into 16 - 13x - 4 = 3, I then get 12 - 13x = 3 which leads me to 13x = -9 so x = -9/13 which is the wrong answer.
Wh... |
## Using Matrices to Solve Systems of Equations if (parent.playingGame) document.writeln('<i><font color = AA00DD>Game Version</font></i>')
This tutorial: Part A: The Matrix of a System and Row Operations
In the preceding tutorial we talked about systems of linear equations in two unknowns. Here we generalize to any ... |
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📚 Open-Web-Math-Pro
Open-Web-Math-Pro is refined from open-web-math using the ProX refining framework. It contains about 5B high quality math related tokens, ready for pre-training.
License
Open-Web-Math-Pro is based on open-web-math, which is made available under an ODC-By 1.0 license; users should also abide by the CommonCrawl ToU: https://commoncrawl.org/terms-of-use/. We do not alter the license of any of the underlying data.
Citation
@article{zhou2024programming,
title={Programming Every Example: Lifting Pre-training Data Quality like Experts at Scale},
author={Zhou, Fan and Wang, Zengzhi and Liu, Qian and Li, Junlong and Liu, Pengfei},
journal={arXiv preprint arXiv:2409.17115},
year={2024}
}
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