content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
the encyclopedic entry of UNIQUAC
UNIQUAC
(short for
UN
iversal
QUA
si
C
hemical) is an activity coefficient model in which the activity coefficients, γ, of the components in a chemical mixture can be related through their molar fraction, x
[i]
.
Equations
In UNIQUAC the activity coefficients of the i^th com... | 4 | [
-0.0537109375,
-0.09326171875,
0.046630859375,
0.072265625,
0.029296875,
0.032958984375,
0.095703125,
0.08935546875,
0.10498046875,
0.006500244140625,
0.0242919921875,
-0.06787109375,
0.08935546875,
0.035888671875,
-0.0198974609375,
-0.01263427734375,
-0.0308837890625,
-0.018066406... | 26,400 | 26400 | |
0.999...=1? Seriously?
The article found on Wikipedia.org, on the topic "0.999..." seems to accept that 0.999...=1. I don't. The civilized world bases its numerical system on groups of ten:
1 2 3 4 5 6 7 8 9 10
Using this method, 0.9 = 9/10, of course. But what if a civilization decided to base its numerical system o... | 4 | [
-0.06396484375,
-0.009521484375,
-0.0458984375,
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-0.02001953125,
0.033935546875,
0.07177734375,
-0.003936767578125,
0.0125732421875,
-0.0625,
0.038330078125,
0.03271484375,
-0.058837890625,
-0.1064453125,
-0.049560546875,
0.003433227... | 26,401 | 26401 | |
Probability and Statistics
June 1st 2008, 04:37 PM #1
Newbie
Joined
Apr 2008
Posts
7
Probability and Statistics
Here's my problem,
A certain Lottery has 49 numbers, six of which are the winning numbers for a particular game. To play the game each participant choses six numbers. What is the probabili... | 4 | [
0.040771484375,
0.031982421875,
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0.08935546875,
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0.059814453125,
0.0093994140625,
0.03466796875,
-0.08984375,
0.0142822265625,
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0.00113677978515625,
0.0113525390625,
0.000301361083984375,
-0.016357421875,
-0.00... | 26,402 | 26402 | |
Math Help
July 6th 2008, 03:10 PM #1
Newbie
Joined
Jul 2008
Posts
16
tangent line
"Sketch the circles x²+y²=1 and y²+(x-3)²=4. There is a line with positive slope that is tangent to both circles. Find the points at which the tangent line touches each circle."
solve using implicit differentiation
... | 4 | [
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0.0634765625,
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0.06640625,
0.052734375,
-0.0830078125,
-0.0390625,
0.05078125,
... | 26,403 | 26403 | |
[SOLVED] Integration
February 25th 2009, 12:01 PM #1
Newbie
Joined
Feb 2009
From
Wyoming
Posts
13
[SOLVED] Integration
I am integrating by parts. I do not know what let u and v be. I am also stuck on the radical.
e^{sqre rt} 3s+9 ds
I want to let u = 3s+9 and v = e^rt x
can it be done ... | 5 | [
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-0.1025390625,
-0.0084228515625,
0.0678... | 26,404 | 26404 | |
Triangle inequality induction problem
August 26th 2011, 02:58 AM #1
Member
Joined
Jul 2011
Posts
196
Triangle inequality induction problem
Prove by induction that:
$|z_{1}+z_{2}+...+z_{n}| \leq |z_{1}|+|z_{2}|+...+|z_{n}|$
$n \in \mathbb{N}$ and $n\geq 1$
I seem to understand the component... | 5 | [
-0.125,
0.11279296875,
0.01080322265625,
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0.0234375,
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0.0035400390625,
0.04296875,
0.0018310546875,
0... | 26,405 | 26405 | |
computin multiple integral with ugly - but positive - function (mathematica/matlab)
July 7th 2012, 10:53 AM #1
Junior Member
Joined
Aug 2008
Posts
74
Thanks
1
computin multiple integral with ugly - but positive - function (mathematica/matlab)
hello everyone,
I'm trying to compute a triple integr... | 5 | [
-0.0162353515625,
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0.0888671875,
-0.... | 26,406 | 26406 | |
Finding for interval of m in quadratic equation.
August 23rd 2011, 10:44 PM #1
Junior Member
Joined
Aug 2011
Posts
43
Finding for interval of m in quadratic equation.
Find the interval in which 'm' lies so that the expression
$\frac{mx^2+3x-4}{-4x^2+3x+m}$
can take all real values ,where x is rea... | 4 | [
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-0.040039... | 26,407 | 26407 | |
If x=3/4 and y=1/5, what is the value of sqrt(x^2 + 6x + 9)
Author Message
TAGS:
ajay_gmat If x=3/4 and y=1/5, what is the value of sqrt(x^2 + 6x + 9) [#permalink] 25 Jul 2007, 03:18
Manage... | 4 | [
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Complex number equation
March 12th 2011, 12:13 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Complex number equation
The question:
Show that $|z_1 + z_2|^2 + |z_1 - z_2|^2 = 2|z_1|^2 + 2|z_2|^2$, for all complex numbers $z_1$ and $z_2$.
I tried getting the LHS to match the RHS, but I've done som... | 4 | [
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Stability in a Simple Food Chain System with Michaelis-Menten Functional Response and Nonlocal Delays
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 936952, 14 pages
http://dx.doi.org/10.1155/2013/936952
Research Article
Stability in a Simple Food Chain System with Michaelis-Menten Functional Response a... | 5 | [
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0.0093383789... | 26,410 | 26410 | |
Completeness of Vector Space
May 20th 2010, 08:22 AM #1
Junior Member
Joined
Jan 2010
Posts
32
Completeness of Vector Space
Let $H$ be the space of sequences $(x(1),x(2),x(3),...)$ such that $\sum^{\infty}_{j=1}\frac{|x(j)|^2}{j^2}<\infty$, with inner product $<x,y>=\sum^{\infty}_{j=1}\frac{x(j)\overline... | 5 | [
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simple sigma operation question
September 23rd 2012, 01:11 PM #1
Member
Joined
May 2012
From
Toronto
Posts
240
Thanks
1
simple sigma operation question
How does one complete a summing operation where
$a = 11$ and $b= 96$
$X= {8, 10, 9}$ and $Y= {108, 101,103,94}$
a sum like
$i... | 4 | [
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0.0278320... | 26,412 | 26412 | |
Convert Nordictrack revolutions to miles
So I put on my 10th grade geometry hat and figured it out. Here’s what I did.
Goal:
Use simple geometry to determine how many Nordictrack revolutions equal one mile.
First, measure the radius (r) of the encased wheel (this is the distance from the center to the ... | 4 | [
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0.0595703125,
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0.029052734375,
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... | 26,413 | 26413 | |
Dividing Genetic Computation Method for Robust Receding Horizon Control Design
Applied Computational Intelligence and Soft Computing
Volume 2010 (2010), Article ID 168653, 10 pages
http://dx.doi.org/10.1155/2010/168653
Research Article
Dividing Genetic Computation Method for Robust Receding Horizon Control Design
De... | 4 | [
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0.0203... | 26,414 | 26414 | |
Find the equation,
April 5th 2006, 01:17 PM #1
Newbie
Joined
Jan 2006
Posts
16
Find the equation,
I thought this was a lil to simple and think my answer might be wrong :/
Determine the equation of the tangent to the curve at the given point
(x+2)^2+(y-3)^2=29 P(3,5)
tnkfub
I thought th... | 4 | [
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... | 26,415 | 26415 | |
Working with Trig identies to show that a triangle is a right triangle
April 29th 2009, 05:47 PM #1
Newbie
Joined
Apr 2009
Posts
2
Working with Trig identies to show that a triangle is a right triangle
Can someone please assist me with this questions? Thank you in advance for your assistance.
If ang... | 4 | [
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0.0166015... | 26,416 | 26416 | |
An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 724854, 8 pages
http://dx.doi.org/10.1155/2013/724854
Research Article
An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay
Schoo... | 5 | [
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Analyzing Electromagnetic Systems on Electrically Large Platform Using a GTM-PO Hybrid Method with Synthetic Basis Functions
International Journal of Antennas and Propagation
Volume 2014 (2014), Article ID 162421, 7 pages
http://dx.doi.org/10.1155/2014/162421
Research Article
Analyzing Electromagnetic Systems on Elec... | 4 | [
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... | 26,418 | 26418 | |
Formula for f of g
October 9th 2012, 10:54 AM #6
Super Member
October 9th 2012, 10:40 AM #5
October 9th 2012, 10:34 AM #4
October 9th 2012, 10:31 AM #3
Member
October 9th 2012, 10:09 AM #2
October 9th 2012, 09:51 AM #1
Member
Re: Formula for f of g
Hello, Eraser147!
$f\!\!\circ\!g \;=\;f(g(x))$ . . . $=... | 4 | [
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Fun with metrics
September 23rd 2011, 10:11 PM
SlipEternal
Fun with metrics
I'm a first year grad student. After listening to my algebra professor's explanation that for any finite set A, P(A) is a vector space under the operation of symmetric difference over the field $
\mathbf{Z}_2$. It got me to wondering... | 4 | [
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Modular Arithmetic
April 27th 2010, 11:48 PM #1
Newbie
Joined
Apr 2010
Posts
2
Modular Arithmetic
Hi,
Just need help with a couple of Q's.
Using Euclids algorithm, find:
3568a = 1 mod 1127
and
Use Euclids algorithm to find x and y so 6804x +1343y = 1
Ty for any help.
Las... | 4 | [
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Simple Maths/Physics Simultaneous Equation.
May 13th 2013, 04:41 AM #1
Newbie
Joined
May 2013
From
Australia
Posts
3
Simple Maths/Physics Simultaneous Equation.
Given the following two equations:
m1*u = m1*v1 + m2*v2
m1*u^2 = m1*v1^2 + m2*v2^2
Taking this as a simultaneous equation, an... | 4 | [
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Proof by Induction - Divisibility Proofs
September 20th 2011, 11:50 AM #1
Member
Joined
Jul 2011
Posts
140
Proof by Induction - Divisibility Proofs
Q. Prove by induction that...
Please see attachment.
The end result should be divisible by 6, but it hasn't worked out that way for me. Can someone... | 5 | [
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Mechanics forces acting on a object in a slope
Attachment 25548 answer to q15 is 2.42ms can anyone solve these questions please
Re: Mechanics forces acting on a object in a slope
Quote:
Attachment 25548
answer to q15 is 2.42ms can anyone solve these questions please
First, one question per thr... | 5 | [
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Area of the Triangle (in 3D)
February 5th 2009, 06:19 AM #1
Area of the Triangle (in 3D)
Hi everyone, so here's the problem:
We got a triangle in a 3D room defined by the coordinates:
A = (1, 2, -1)
B = (3, 1, 4)
C = (0, 2, 3)
What's the area of the triangle?
----
If it were just ... | 5 | [
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Field Theory - Dummit and Foote Ch 13 - Exercise 1, page519
September 20th 2013, 06:24 PM #1
Field Theory - Dummit and Foote Ch 13 - Exercise 1, page519
I am studying Dummit and Foote Chapter 13: Field Theory.
Exercise 1 on page 519 reads as follows:
================================================== ==... | 5 | [
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... | 26,426 | 26426 | |
Related rates: urgent
January 6th 2007, 03:43 PM #1
Newbie
Joined
Jan 2007
Posts
2
Can anyone help
A baseball diamond has the shape of a square with sides 90 feet long. A player 30 feet from third base is running at a speed of 28 feet per second. At what rate is the player’s distance s from
the ho... | 5 | [
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0.03662109375,
-0.016... | 26,427 | 26427 | |
Expected Value
September 24th 2009, 06:43 PM #1
Senior Member
Joined
Jan 2009
Posts
290
Expected Value
A sack contains 20 products, where two are defective. Given that five products are chosen randomly, determine the expected number of defective products.
Let $P_k$ be the probability of there being ... | 4 | [
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Monotonicity of Eventually Positive Solutions for a Second Order Nonlinear Difference Equation
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 635149, 5 pages
http://dx.doi.org/10.1155/2013/635149
Research Article
Monotonicity of Eventually Positive Solutions for a Second Order Nonlinear Differ... | 5 | [
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Counting Principles, card 1..50 and one number is twice the other
September 26th 2010, 03:17 PM #1
Member
Joined
May 2009
Posts
129
Counting Principles, card 1..50 and one number is twice the other
There are 50 cards numbered from 1 to 50.
Two different cards are chosen at random. What is the probabi... | 4 | [
0.04638671875,
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-0.0252685546875... | 26,430 | 26430 | |
Comparison Theorems for the Position-Dependent Mass Schrรถdinger Equation
ISRN Mathematical Physics
Volumeย 2012ย (2012), Article IDย 461452, 11 pages
http://dx.doi.org/10.5402/2012/461452
Research Article
Comparison Theorems for the Position-Dependent Mass Schrรถdinger Equation
Theoretical Physics Department, FFEKS... | 5 | [
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Vector Proof Help
November 17th 2010, 04:43 PM
Lord Voldemort
Vector Proof Help
First off, sorry if this is in the wrong section. I was unsure of where to put it, and if there's a more suitable location please point me to it and I'll ask a mod to move it. Anyways, this
appeared on my exam today, and I couldn... | 4 | [
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Homework Help
Posted by Cho on Friday, August 26, 2011 at 11:42pm.
the product of two even consecutive integers is 224. find the integers
• math - Martin, Friday, August 26, 2011 at 11:44pm
14 and 16.
• math - Cho, Friday, August 26, 2011 at 11:47pm
how do u figure that out?
• math - Cho, Friday, Au... | 4 | [
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0.017... | 26,433 | 26433 | |
For what values of r does the function y = e^rx satisfy
July 27th 2010, 05:22 PM #1
Junior Member
Joined
Jun 2010
Posts
42
For what values of r does the function y = e^rx satisfy
For what values of r does the function y = e^rx satisfy the equation y'' + 4y' - 45y = 0?
Solve $r^2+4r-45=0$ do you know... | 4 | [
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-0.013671875... | 26,434 | 26434 | |
Polar Coordinate..
Find the area inside the larger loop and outside the smaller loop of the limacon r= 1/2 + Cos[x]
The region between the loops would be: $2\left[\int_{0}^{\frac{2\pi}{3}}\frac{1}{2}(\frac{1}{2}+c os{\theta})^{2}d{\theta}-\int_{\frac{2\pi}{3}}^{\pi}\frac{1}{2}(\frac{1}{2} +cos{\theta})^{2}d{\
theta}\r... | 5 | [
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-0.0292968... | 26,435 | 26435 | |
A question regarding rectangle ratios.
_________________
Just so you know, I am blind.
I pledge allegiance to the whole of humanity, and to the world in which we live: one people under the heavens, indivisible, with Liberty and Equality for all.
My Shapeways Shop
Removing the largest square from a rectangle with ra... | 4 | [
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0.087890625,
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0.005523681640625,
0.06005859375,
... | 26,436 | 26436 | |
Codes over Graphs Derived from Quotient Rings of the Quaternion Orders
ISRN Algebra
VolumeΒ 2012Β (2012), Article IDΒ 956017, 14 pages
http://dx.doi.org/10.5402/2012/956017
Research Article
Codes over Graphs Derived from Quotient Rings of the Quaternion Orders
^1Departamento de MatemΓ‘tica, ICEx, UNIFAL, R. Gabriel ... | 4 | [
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-0... | 26,437 | 26437 | |
Math Help
April 3rd 2008, 01:08 PM #1
Logic
Express the propositions $p\implies q$ and $q\wedge p$ using only $\downarrow$ and $\sim.$
$p\downarrow q,$ where $p$ and $q$ are propositions, it's defined by the following truth table:
-------
Let $p_1,p_2,p_3,p_4,p_5,p_6$ be propositions such that $\... | 5 | [
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-0.076171875,
0... | 26,438 | 26438 | |
Limit of multivariable function
April 7th 2009, 12:15 PM #1
Newbie
Joined
Dec 2006
Posts
17
Limit of multivariable function
The question asks to find the limit (x,y) -> (0,0) and this is the function:
$\frac{x^2 sin(y)^2}{x^2 + 5y^2}$
so i tried approaching (0,0) from y=cx and i get this:
$\f... | 5 | [
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-0.047607421875,
... | 26,439 | 26439 | |
Salt problem
January 28th 2009, 12:06 PM #1
Junior Member
Joined
Aug 2007
Posts
71
Salt problem
A tank with capacity of 400 gal of water originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/ min, and
the mixture ... | 5 | [
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Genral Term
Hi, Find the genral term of the G.P with third term 1 and the seventh term 8? Thanks!!!
The general term of any geometric sequence is given by Tn = $ar^{n-1}$ where clearly, $a$ is the first term and $r$ is the common ratio of the geometric progression. So we have here, T3=1 T7=8 i.e.
$ar^2=1$............(... | 4 | [
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A Novel Algorithm for Intrusion Detection Based on RASL Model Checking
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 621203, 10 pages
http://dx.doi.org/10.1155/2013/621203
Research Article
A Novel Algorithm for Intrusion Detection Based on RASL Model Checking
^1School of Information Engineering... | 4 | [
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0.015869140625,
-0.069335... | 26,442 | 26442 | |
Quarter-Symmetric Nonmetric Connection on
ISRN Geometry
Volume 2012 (2012), Article ID 659430, 14 pages
http://dx.doi.org/10.5402/2012/659430
Research Article
Quarter-Symmetric Nonmetric Connection on -Sasakian Manifolds
^1Department of Mathematics, Dum Dum Motijheel Rabindra Mahavidyalaya, 208/B/2, Dum Dum Road, W... | 4 | [
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-0.031494140625,
0.... | 26,443 | 26443 | |
cyclic groups
June 11th 2006, 10:13 AM #1
Junior Member
Joined
Feb 2006
From
United Kingdom
Posts
70
cyclic groups
I have a problem in a textbook that is giving me trouble. Either I'm missing something or there is some sort of mistake in the question. The problem is with part (ii), the other parts se... | 5 | [
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-0.0... | 26,444 | 26444 | |
prove H is an abelian group
November 5th 2009, 05:51 PM #1
Junior Member
prove H is an abelian group
Last edited by apple2009; November 8th 2009 at 05:13 PM.
Problem: Suppose $G$ is a group such that $g^2=e_G\quad\forall g\in G$. Prove that $G$ is abelian.
Proof (1): Note that $g^2=e\implies g=g^{-1}$.... | 5 | [
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Accounting for Antenna in Half-Space Fresnel Coefficient Estimation
International Journal of Geophysics
Volume 2012 (2012), Article ID 138458, 11 pages
http://dx.doi.org/10.1155/2012/138458
Research Article
Accounting for Antenna in Half-Space Fresnel Coefficient Estimation
Dipartimento di Ingegneria dell'Informazio... | 4 | [
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0.014892578125,
-0.0849... | 26,446 | 26446 | |
Show a function f is constant, given...
February 27th 2009, 06:43 AM
Rudipoo
Show a function f is constant, given...
Q: f from the the reals to the reals satisfies |f(x)-f(y)|<=|x-y|^2 (*), for all x,y in the reals. Show f is constant.
A: My answer is this:
Suppose, without loss of generality, that y>x... | 5 | [
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-0.07763671875... | 26,447 | 26447 | |
Convergence proof...
December 20th 2011, 03:21 AM #1
Junior Member
Joined
Jan 2011
Posts
58
Convergence proof...
I am a little stuck on the following:
suppose that:
1) sum(n..infinity) (a_n)^2 and sum(n..infinity)(b_n)^2 converges, then prove sum(n..infinity) (a_n)*(b_n) converges.
I am gues... | 4 | [
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Odds of passing a test.
January 28th 2014, 05:18 PM #1
Member
Joined
Oct 2009
From
Detroit
Posts
157
Thanks
5
Odds of passing a test.
An instructor gives her class a set of 10 problems with the information that the final exam will consist of a random selection of 5 of them. If a student has figur... | 4 | [
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0.004150390625,
-0.0654296... | 26,449 | 26449 | |
Induction for Triangular numbers
July 10th 2013, 09:55 PM #1
Junior Member
Joined
Jul 2013
From
California
Posts
56
Induction for Triangular numbers
I have tried and tried, with no success. Instructor is useless, book is far more useless, there's nothing worse than online math class.
I need to a... | 5 | [
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0.030029... | 26,450 | 26450 | |
Quick conjugate clarifcation
February 23rd 2011, 01:33 PM #1
Member
Joined
Nov 2010
Posts
119
Quick conjugate clarifcation
Consider the function $f(x)=(18x+18h)(\sqrt{15x-3})-18x\sqrt{15x+15h-3}$
If you factor out an $18x$, then theres still a $(1+18h)$ in front of the first square root. Would the c... | 5 | [
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0.039306640625,
-0.0461425781... | 26,451 | 26451 | |
Using Objective Clustering for Solving Many-Objective Optimization Problems
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 584909, 12 pages
http://dx.doi.org/10.1155/2013/584909
Research Article
Using Objective Clustering for Solving Many-Objective Optimization Problems
School of Computer Scienc... | 4 | [
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0.0150146484375,
0.01... | 26,452 | 26452 | |
the encyclopedic entry of ordinary annuity
The term annuity is used in finance theory to refer to any terminating stream of fixed payments over a specified period of time. This usage is most commonly seen in academic discussions of finance,
usually in connection with the valuation of the stream of payments, taking into... | 4 | [
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Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems
The Scientific World Journal
Volume 2013 (2013), Article ID 473828, 9 pages
http://dx.doi.org/10.1155/2013/473828
Research Article
Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems
School of Mathematical Sciences,... | 5 | [
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0.0076904296875,
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0.0047... | 26,454 | 26454 | |
Math Help
If y'=0 on I some open interval. Then, y=C for some real number C. Proof: Let a<b be in I. Then consider [a,b]. The function y is differenciable fully on [a,b] because it is differenciable on I.
Thus, y is continous on [a,b] and as said on (a,b). This tells us that y satisfies Lagrange's Mean Value Theorem. ... | 5 | [
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-0... | 26,455 | 26455 | |
weak derivative
November 20th 2011, 05:31 PM #1
Junior Member
Joined
May 2008
Posts
50
weak derivative
I have the function f(x)= x+1 for x greater or equal to 0 and -x-1 for x less than 0 ,
I have to prove that f has no weak derivative.
I computed <Df,g>= 2g(0)+\int_0^\infty g(x)dx - \int_{-\inf... | 5 | [
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0.09375,
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-0.08203125,
... | 26,456 | 26456 | |
Taylor polynomial of ODE
September 11th 2010, 02:53 AM #1
Junior Member
Joined
May 2010
Posts
74
Taylor polynomial of ODE
dy/dt = [-pi*cos(pi*t)-2ty]/[1+t^2]
Find the fourth degree polynomial centred about 0
I know the taylor polynomial goes y(0) + hy'(0) + h^2/2y''(0) + h^3/6y'''(0) + h^4/24y'... | 5 | [
-0.0233154296875,
-0.01239013671875,
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0.0263671875,
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Mathematical Induction
May 12th 2008, 07:46 AM
bex23
Mathematical Induction
I have a couple of questions that I a unsure on. The first part have done but hopefully you can confirm I have done this right the rest I am not sure on. Can you point me in the right direction.
Suppose G is a group with elements a ... | 5 | [
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0.05664... | 26,458 | 26458 | |
volume by washer and cylindical shells.
December 10th 2009, 06:03 PM #1
Junior Member
Joined
Sep 2007
Posts
25
volume by washer and cylindical shells.
problem given:
y=x^3, y=8 x=0, rotate about x=2
The book uses cylindrical shells given the anser
v = integral (2,0) 2pi (8-x^3)(2-x)dx
... | 5 | [
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-... | 26,459 | 26459 | |
Number of ways of selecting r letters?
May 25th 2009, 10:21 AM #1
Number of ways of selecting r letters?
If out of $3n$ letters there are $n\ As,n\ Bs\ \mbox{and}\ n\ Cs$, show that the number of ways of selecting $r$ letters out of these is the same as selecting $(3n - r)$ letters out of them. If
$n < r < 2... | 5 | [
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-0.... | 26,460 | 26460 | |
the encyclopedic entry of Frege
In
mathematical logic Frege's propositional calculus
was the first
axiomatization
of
propositional calculus
. It was invented by
Gottlob Frege
, who also invented
predicate calculus
, in
1879
as part of his
second-order predicate calculus
(although
Charles Peirce
was the ... | 5 | [
0.0064697265625,
-0.0189208984375,
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0.05639648... | 26,461 | 26461 | |
L'Hospitals Rule Troubles
November 12th 2008, 11:19 AM #1
Junior Member
Joined
May 2008
Posts
56
L'Hospitals Rule Troubles
Why does the limit as t approaches infinity of [(-te-5t)/5]-[e^-5t/25]= 1/25? I keep getting infinities when I try to use l'Hospitals rule.
Here is what you have posted:
$\l... | 5 | [
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0.050048828125,
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-0.006927490234375,
0.020263671875,
-0.11376953125,... | 26,462 | 26462 | |
Matrix Mappings on the Domains of Invertible Matrices
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 820930, 6 pages
http://dx.doi.org/10.1155/2013/820930
Research Article
Matrix Mappings on the Domains of Invertible Matrices
Faculty of Arts and Sciences, Melikşah University, 38280 Kayser... | 5 | [
-0.109375,
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0.... | 26,463 | 26463 | |
Proving (u X v).(x X y) and using particular standard basis
April 30th 2012, 12:06 PM #1
Proving (u X v).(x X y) and using particular standard basis
On page 13 of doCarmo's book on Differential geometry of curves and surfaces he stated that:
...we prove the relation:
$(u \wedge v)\cdot(x \wedge y) = \lef... | 4 | [
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... | 26,464 | 26464 | |
Value as an Aftershock Precursor: A Case Study Using Earthquake Data between 2003 and 2011 in Turkey
Journal of Earthquakes
Volume 2014 (2014), Article ID 123092, 5 pages
http://dx.doi.org/10.1155/2014/123092
Research Article
Potential of Fractal Analysis of Earthquakes through Wavelet Analysis and Determination of ... | 4 | [
-0.031494140625,
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-0.... | 26,465 | 26465 | |
the encyclopedic entry of Convolutional coding
In
telecommunication
, a
convolutional code
is a type of
error-correcting code
in which (a) each
m
-
bit information
symbol (each
m
-
bit string
) to be encoded is transformed into an
n
-bit symbol, where
m
/
n
is the code
rate
(
n
≥
m
) and (b) t... | 4 | [
-0.033203125,
-0.006622314453125,
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-0.052490234375,
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0.040771484375,
-0.01068115234375,
0.0417480... | 26,466 | 26466 | |
recurrence relation
December 21st 2006, 06:31 PM #1
Newbie
Joined
Dec 2006
Posts
15
recurrence relation
Can anyone tell me if this is correct for this relation:
6.1 In the following sequences determine s5 if s0, s1, ... sn, ... is a sequence satisfying the given recurrence relation and initial condi... | 4 | [
-0.11181640625,
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-0.00099945068359375,
-0.0546875,
-0.09375,
-0.031982421875,
0.06201171875,
-0.0859375,
0.0... | 26,467 | 26467 | |
A Novel Image Fusion Method Based on FRFT-NSCT
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 408232, 9 pages
http://dx.doi.org/10.1155/2013/408232
Research Article
A Novel Image Fusion Method Based on FRFT-NSCT
College of Electronic and Information Engineering, Hebei University, Baoding 071002,... | 4 | [
-0.06396484375,
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0.0125732421875,
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0.01324462890625,
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-0.04833984375,
-0.0308837890625,
-0.07... | 26,468 | 26468 | |
Design of an Extended Interacting Multiple Models Adaptive Estimator for Attitude Determination of a Stereoimagery Satellite
International Journal of Aerospace Engineering
Volume 2011 (2011), Article ID 890502, 19 pages
http://dx.doi.org/10.1155/2011/890502
Research Article
Design of an Extended Interacting Multiple ... | 4 | [
-0.04541015625,
0.01495361328125,
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0.020751953125,
-0.0101318... | 26,469 | 26469 | |
Quasi-3D Modeling of Sediment Transport for Coastal Morphodynamics
1. Introduction
Sand transport plays a very important role in many aspects of coastal and marine engineering. The balance of moving sands influences the construction of harbours, coastal defence, offshore wind
turbine and oil rig, offshore platform and... | 4 | [
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0.056396484375,
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Static Electric Force and Measurement Principle of Material Constants in Electrostrictive Material
Smart Materials Research
Volume 2012 (2012), Article ID 712103, 8 pages
http://dx.doi.org/10.1155/2012/712103
Research Article
Static Electric Force and Measurement Principle of Material Constants in Electrostrictive Ma... | 4 | [
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0.00323486328125,
-0.03039... | 26,471 | 26471 | |
An Integrated Model of Material Supplier Selection and Order Allocation Using Fuzzy Extended AHP and Multiobjective Programming
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 363718, 14 pages
http://dx.doi.org/10.1155/2013/363718
Research Article
An Integrated Model of Material Supplier Selection... | 4 | [
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0.005462646484375,... | 26,472 | 26472 | |
One for you, WonderBoy
January 10th 2010, 08:54 AM #1
MHF Contributor
Joined
Dec 2007
From
Ottawa, Canada
Posts
3,080
Thanks
66
One for you, WonderBoy
Right triangle: sides 135-352-377
Isosceles triangle: sides 132-366-366
Both have perimeter = 864 and area = 23760
Find another case ... | 4 | [
0.0224609375,
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find the derivative of this function
September 19th 2012, 09:07 PM #1
Junior Member
Joined
Jul 2012
From
auckland
Posts
46
find the derivative of this function
how do i do this
find the derivative of this funtion.
y= ln (ln(tanx))
derive the following properties of log x:
a
h... | 4 | [
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0.035888671875,
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0.00238037109375,
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0.03173828... | 26,474 | 26474 | |
Runge Kutta on second order differential
January 4th 2010, 10:17 PM #1
Newbie
Joined
Oct 2009
Posts
6
Runge Kutta on second order differential
Hi, As part of my project I have been asked to code a program that peforms the runge kutta 4th order algoritm on a equation of form:
$ax'' + bx' + c = 0$
... | 4 | [
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0.025146484... | 26,475 | 26475 | |
Moment generating function of X*Y, normal distributions
June 29th 2013, 10:25 AM #1
Newbie
Joined
Nov 2011
Posts
17
Moment generating function of X*Y, normal distributions
Let $X$ and $Y$ be jointly normally distributed random variables with correlation $0 \le \rho \le 1$ and variance $\sigma^2 = 1$. How... | 5 | [
0.00653076171875,
-0.0252685546875,
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0.08251953125,
-0.041503906... | 26,476 | 26476 | |
Second order homogenous DE - Tricky
November 29th 2010, 08:54 AM
chr91
Second order homogenous DE - Tricky
I started by trying to find the auxillary equation, as this is a homogenous second order DE.
I get to this:
k^2 - 2k + 1 + E^2
What can I do from here? (k-1)(k-1) + E^2 ???
November 29th 20... | 4 | [
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-0.03... | 26,477 | 26477 | |
Neural Networks, Manifolds, and Topology
Posted on April 6, 2014
topology, neural networks, deep learning, manifold hypothesis
Recently, there’s been a great deal of excitement and interest in deep neural networks because they’ve achieved breakthrough results in areas such as computer vision.^1
However, there remai... | 4 | [
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... | 26,478 | 26478 | |
The Determination of the Velocities after Impact for the Constrained Bar Problem
Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 384071, 16 pages
http://dx.doi.org/10.1155/2009/384071
Research Article
The Determination of the Velocities after Impact for the Constrained Bar Problem
^1Center for En... | 4 | [
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0.0252685546875,
-0.0244140625,
-0.101... | 26,479 | 26479 | |
Solving Derivatives
September 21st 2013, 11:20 AM #1
Solving Derivatives
Hello Everyone,
In preparation for an upcoming exam I've selected a derivative problem and attempted to solve it...
I have to use $f^'$$(x) = \frac{f(x+h)-f(x)}{h}$ to solve these problems.
My attempts:
a) $f(x) = 3x^3$ Us... | 4 | [
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0.003509521484375,
0.017333984375,
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0.0234375,
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0.1181640625,
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0.0037384033203125,
-0.03173828125,
0.0093994140625,
0.0052490234375,
-0.055175781... | 26,480 | 26480 | |
Two much trig :)
April 8th 2005, 05:15 PM #1
Two much trig :)
solve 2cosX + tanX = secX where X is greater than or equal to zero and less than 2 pi. I understand that the secant is basically the inverse of the cosine, (hyp/adj), but I have no idea how to
solve for this. I also don't understand how to solve an... | 4 | [
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-0.026489257812... | 26,481 | 26481 | |
Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 323126, 9 pages
http://dx.doi.org/10.1155/2013/323126
Research Article
Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices
^1Depar... | 4 | [
0.004302978515625,
0.06689453125,
0.10107421875,
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Homework Help
Posted by Tay on Tuesday, January 17, 2012 at 8:34pm.
a particle moves along the curve y= sqrt 1+x cubed. As it reaches the point (2,3) the y-corrdinate is increasing at a rate of 4cm/s. How fast is the x-coordinate of the point changing at that
instant?
• math - bobpursley, Tuesday, January 17, 2012 ... | 5 | [
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Algebra....HELP!!
Posted by Austin on Thursday, October 4, 2012 at 12:52pm.
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.
• Algebra....HELP!! - Henry, Friday, October 5, 2012... | 4 | [
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geometry -Euclidean
June 6th 2008, 12:31 PM
skystar
geometry -Euclidean
Consider triangle ABC,suppose D is midpoint of AC and that the line through B perpendicular to AC intersects AC at a point X lying between D and C using Pythagoras theorem prove
$|BA|^{2}+|BC|^{2}=2|BD|^{2}+2|AD|^{2}$
i drew pretty... | 4 | [
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Another Optimal Control Question
October 11th 2010, 08:08 PM #1
Junior Member
Joined
Sep 2008
From
Boston, Massachusetts
Posts
41
Another Optimal Control Question
The system $\dot{x} = x + 4u$ where $u = u(t)$ is not subject to any constraint, is to be controlled from $x(0) = 1$ to $x(t_1) = 2$ where... | 5 | [
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Gradient, divergence and curl - nabla dotted with f(r)r
November 29th 2009, 11:44 AM #1
Gradient, divergence and curl - nabla dotted with f(r)r
Sorry for the naff title, couldn't think of anything else. I've ended with a ridiculous answer...
a) Find $abla\cdot\left(f(r)\mathbf{r}\right)$, where $r=|\mathbf{r... | 4 | [
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-0.0334... | 26,487 | 26487 | |
Differential equation
August 9th 2008, 04:04 PM
kezman
Differential equation
Find all the solutions
y''(x) + y(x) = cos(x) + xy'(0) + y(0)
I found $\frac{1}{2}$x sen(x) as 1 solution.
I dont know if its the only one.
August 9th 2008, 06:26 PM
mr fantastic
Quote:
You mean you have found ... | 5 | [
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0.... | 26,488 | 26488 | |
How to obtain isomorphic factor groups of a group from its ismomorphic subgroups?
November 20th 2012, 04:07 AM #1
Member
Joined
Sep 2009
Posts
161
How to obtain isomorphic factor groups of a group from its ismomorphic subgroups?
Dear Friends,
If two normal subgroups H and K of a group G are ısomorphi... | 4 | [
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A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 836804, 15 pages
http://dx.doi.org/10.1155/2012/836804
Research Article
A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions
^1Department of ... | 5 | [
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Algorithms for Egyptian Fractions
An Egyptian fraction representation can be formed from the binary representation of a number; e.g. 27/22 = 1.0(0111010001)*. (The star indicates that the parenthesized digits repeat in blocks of ten
af... | 5 | [
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E(x^2) and V(x^2)
March 6th 2010, 01:41 AM
alexandrabel90
E(x^2) and V(x^2)
Explosive devices used in mining operations produce nearly circular craters when detonated. The radii of these craters are exponentially distributed with mean 10 feet. Find the mean and variance
of the areas produced by these explosi... | 4 | [
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the encyclopedic entry of parallelogram
In geometry, a parallelogram is a quadrilateral with two sets of parallel sides. The opposite sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are congruent.
The three-dimensional counterpart of a parallelogram is a parallelepiped.
Propert... | 4 | [
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... | 26,493 | 26493 | |
Spatial Correlation for DoA Characterization Using Von Mises, Cosine, and Gaussian Distributions
International Journal of Antennas and Propagation
Volume 2011 (2011), Article ID 540275, 12 pages
http://dx.doi.org/10.1155/2011/540275
Research Article
Spatial Correlation for DoA Characterization Using Von Mises, Cosine... | 4 | [
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using integrals to find volume
September 22nd 2010, 02:08 PM #1
Junior Member
Joined
Jun 2010
Posts
35
using integrals to find volume
i have this problem where i have to find the volume of the solid obtained by rotationg the region bounded by the given curves about the specified line.
the specified ... | 5 | [
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... | 26,495 | 26495 | |
Setting up a homogenous ODE using Kirchhoff's law of voltage
September 25th 2012, 11:25 AM
nivek0078
Setting up a homogenous ODE using Kirchhoff's law of voltage
Thank you in advance for your help. I'm having trouble with the setup of this problem. The problem states:
The loop current I in a series RL circu... | 5 | [
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Geometry problems
1. November 23rd 2012, 07:48 PM #1
Geometry problems
Last edited by chubakueno; November 23rd 2012 at 07:52 PM.
2. November 24th 2012, 03:59 AM #2
Re: Geometry problems
Could you resubmit, including a diagram, with labels for the various points so that we can refer to li... | 5 | [
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fourier series question help me pls T_T
May 1st 2007, 11:30 AM #1
Newbie
Joined
May 2007
Posts
4
fourier series question help me pls T_T
Q1 )find the Fourier coefficients and Fourier series corresponding to the
periodic functions
g(x) = { 3 -2<x<0
.............-3 0<x<2
Q2 )Expand f(x) =... | 5 | [
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Galois Theory Question
January 15th 2010, 01:20 AM #1
Junior Member
Joined
Oct 2009
Posts
36
Galois Theory Question
Let $f(x)=x^4+6x^2+3x-3$ and let $L$ be a splitting field of $f$ over $\mathbb{Q}$.
I can show that 73 has a cube root in $L$. Now I'm asked to "deduce" that the Galois group $G$ of $f... | 4 | [
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0.00154113... | 26,499 | 26499 |