content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A question from Arhangel'skii-Buzyakova
up vote 1 down vote favorite
1
The question is also posted here, however there is no answer.
Recently, I am reading the paper: On linearly Lindelöf and strongly discretely Lindelöf spaces by Arhangel'skii and Buzyakova. Here is the Lemma 2.2 in paper. (Sorry for the picture is ... | 5 | [
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Transformation Of Conics
November 6th 2006, 12:04 PM #1
Junior Member
Joined
Aug 2006
Posts
56
Transformation Of Conics
First, just to clarify the nomenclature used by my text book, an equation of the form:
A(x squared) + Bxy + C(y squared) + Dx + Ey + F = 0
is a conic if A, B, and C are not si... | 5 | [
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Patent US6449577 - Self-optimizing adjustment algorithm
FIELD OF THE INVENTION
This invention relates to testing integrated circuit devices using an algorithm which adjusts a parameter of the device in order to achieve a predetermined value for another parameter.
BACKGROUND
Often in integrated circuit (IC) testing a... | 4 | [
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Isothermal Magnetic Susceptibility
My book says that "in the mean field approximation, the isothermal magnetic susceptibility just below the Curie temperature goes as ##(T_c-T)^{-1}##". I need some help understanding how to get this
proportionality. My book does not contain any derivation or further explanations.
Acco... | 4 | [
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Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 715258, 6 pages
http://dx.doi.org/10.1155/2013/715258
Research Article
Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operat... | 5 | [
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Fatoring polynomials - what am I doing wrong?
March 11th 2011, 06:44 PM
Eloise1995
Fatoring polynomials - what am I doing wrong?
Hi! Here is the problem I was trying to solve, and what I did:
3x^2+7x-6=0
Since 3*(-6)=-18, I need two numbrers, the product of which is -18, and the sum of which is 7. I cho... | 4 | [
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The Application of Shape Gradient for the Incompressible Fluid in Shape Optimization
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 728534, 11 pages
http://dx.doi.org/10.1155/2013/728534
Research Article
The Application of Shape Gradient for the Incompressible Fluid in Shape Optimization
^1Schoo... | 4 | [
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Patent US2981944 - Microwave navigation system
April 25, 1961 B. P. WASHBURNE 2,
MICROWAVE NAVIGATION SYSTEM Original Filed April 10, 1956 4 Sheets-Sheet 1 U I07 U .16 J? .fi INVENTOR.
1 arraen/Ef April 1961 B. P. WASHBURNE 2,981,944
MICROWAVE NAVIGATION SYSTEM 9 I .z .Z .Z
INVENTOR.
April 25, 1961 B. P. WASHBURNE... | 4 | [
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Help me please.... Mixed Partials
September 8th 2009, 04:42 PM
tiga killa
Help me please.... Mixed Partials
Use the "mixed partials" check to see if the following differential equation is exact
(-1x^2 + 2y)dx + (2x - 3y^1)dy = 0
My(x,y) = ?
Nx(x,y) = ?
F(x,y) = ?
September 8th 2009, 05:00 PM
... | 4 | [
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Fibonacci's sequence
May 26th 2006, 11:00 AM #1
Senior Member
Joined
Apr 2006
Posts
290
Fibonacci's sequence
Two consecutive Fibonacci numbers are relatively prime
This is my proof - am i correct?
Let Fn and Fn+1 be any two consecutive Fibonacci numbers and suppose there is an integer d > 1 suc... | 5 | [
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Doing Business in Interstellar Space
Doing Business in Interstellar Space
Tuesday, 1 March 2011 - 1:00pm
Overview
Imagine that interstellar trade is possible at speeds close to the speed of light. It must incorporate the insights of Einstein's special theory of relativity, which teaches us that clocks on board a
sp... | 5 | [
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Free Particle Action
gulsen
I've recently started Feynman & Gibbs. I was sure exercises will be fun, but i can't enjoy myself when i fail solving the first one! Exercise 1-1 says: show that free particle action is
[tex]\frac{m}{2} \frac{x_b^2 - x_a^2}{t_b-t_a}[/tex]
Shouldn't it be:
[tex]\frac{m}{2} \frac{(x_b - ... | 4 | [
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Patent US7890835 - Cyclic redundancy check circuit and communication system having the same for multi-channel communication
CROSS-REFERENCE TO RELATED PATENT APPLICATIONS
This application claims the priority, under 35 U.S.C. §119, of Korean Patent Application No. 10-2005-0084550, filed on Sep. 12, 2005, in the Korean ... | 4 | [
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The Math Behind WvW Ratings - News
Today, Habib Loew explains the math between the WvW ranking system:
Quote
People often ask how WvW rankings are determined so in this post I will outline exactly the system that we use.
The short, short summary is that after each battle we use the score differential between the wor... | 4 | [
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blackjack proabability question
August 14th 2007, 11:59 AM #1
Junior Member
Joined
Jun 2007
Posts
63
blackjack proabability question
suppose that you are playing blackjack against a dealer. in freshly shuffled deck, what is the probability that neither you nor the dealer is dealt a blackjack?
a blac... | 4 | [
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Determining the Slope on a v-t Graph
It was learned earlier in Lesson 4 that the slope of the line on a velocity versus time graph is equal to the acceleration of the object. If the object is moving with an acceleration of +4 m/s/s
(i.e., changing its velocity by 4 m/s per second), then the slope of the line will be +4... | 4 | [
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Impedance equation
October 9th 2012, 10:03 AM #1
Junior Member
Joined
Oct 2012
From
England
Posts
25
Impedance equation
Hi guys,
i need some help please with the following equation, I need to make c the subject of z=sqrt(r^2 + (xl - xc)^2).
My first step was remove the sqrt to become z^2=r^... | 4 | [
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Patent US4386403 - System and method for LSI circuit analysis
INTRODUCTION
This invention relates to systems for analyzing large circuit networks. More particularly, the invention relates to apparatus and methods for verifying the adequacy of designs of circuits having a
very large number of very small closely spaced ... | 4 | [
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domain and range of inverse trig functions
October 14th 2009, 02:47 AM #1
Member
Joined
Dec 2008
From
Australia
Posts
161
hey, can someone tell me how to do these? like explain it and all
Find the domain and range of:
a) $y = 2tan^{-1}x$
do for y = 2tanx.. the domain would be -pi/2 < x ... | 4 | [
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... | 22,818 | 22818 | |
Laplace equation solution in polar coordinates
June 12th 2012, 11:59 AM #1
Newbie
Joined
May 2012
From
US
Posts
5
Dear all,
In my research I need to solve a polar form of Laplace equation. No big deal, I have solved but I am not able to satisfy the boundary conditions.
For the past three month... | 4 | [
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2.5.1 Newton Methods Overview
Next: 2.5.2 Discrete Newton Up: 2.5 Newton Methods Previous: 2.5 Newton Methods
Newton methods include several classes, including discrete Newton, quasi Newton (QN) (also termed variable metric), and truncated Newton (TN). Historically, the [53][35], the appeal of these methods
sh... | 4 | [
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Rolling/sliding with friction
daudaudaudau
A sphere(mass m) is sliding on a frictionless surface until it meets a surface with friction(coefficient mu). This causes the sphere to start rotating, while it still slides. Calculate the speed of
the sphere while it is both sliding and rotating on the surface with frictio... | 4 | [
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0.04956054... | 22,821 | 22821 | |
vectors distance
January 17th 2010, 12:29 AM #1
Newbie
Joined
Jan 2010
Posts
2
vectors distance
could you pls help me on these?
find the distance of:
(a) point P(1,3,1) to the surface of 3x+7y-5z=0
(b) point P(7,6,3) to the straight line of r=6j+k-t(i-j-k)
(c) L1:r=5k+t(3j+k) to L2:r=i+j... | 5 | [
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find the 1991st term
January 13th 2011, 06:37 PM #1
Newbie
Joined
Jan 2011
Posts
11
find the 1991st term
Let 2,3,5,6,7,10,11,... be an increasing sequence of positive integers that are neither the perfect squares nor the cubes. Find the 1991st term.
Let's define $f(n)$ to be the number of numbers le... | 5 | [
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Sum of series
May 21st 2008, 08:36 AM
taurus
Sum of series
What is the sum of the following series:
SUMMATION(n=1 to infiniti) -1/(n^2 + 9n + 20)
I tried using the forumula:
sum = a/(1-r)
But i cant get an exact value for r so i am not sure
Thanks
May 21st 2008, 08:43 AM
colby2152
... | 5 | [
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Inequalities
August 28th 2012, 04:44 AM #1
Member
Joined
Jul 2011
Posts
140
Inequalities
Can anyone help me confirm if I have solved this correctly?
Many thanks.
Q. 3^n > n^2 for n > 2, n $\in \mathbb{N}$.
Attempt: Step 1: For n = 2,
3^2 = 9 & 2^2 = 4
Since 9 > 4, the statement is t... | 4 | [
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Indices past paper question help
May 5th 2012, 07:42 PM #1
Junior Member
Joined
Dec 2011
Posts
28
Indices past paper question help
By using y=2^x or otherwise, solve
4^x - 3 (2^(x+1)) + 8= o
so i understand to convert the 4^x to 2^x(2) but how to proceed ??
sorry cant type equations properl... | 4 | [
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Nonlinear ODE
Two thoughts: 1. Any affine function y = mx + b solves the equation trivially. 2. You could try this: $y'\,y''=y\,y'''$, implies $\displaystyle{\frac{y'}{y}=\frac{y'''}{y''}}.$ You can integrate
then, to obtain $\ln|y|=\ln|y''|.$ You can go from there further, I think.
Indeed. As always. So you've really... | 5 | [
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0.109375,
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-0.061... | 22,827 | 22827 | |
Logs/Equations
October 6th 2009, 11:33 AM #1
Logs/Equations
The problem is: $4^x-2^{x+1}=3$
Here's the work I've tried doing on it:
$4^x-2^{x+1}=3$
I split the $2^{x+1}$ up into $-2^x+2^1$.
Then I...
$4^x-2^x+2-3=0$
$4^x-2^x -1= 0$
$2^x-1=0$
$Let 2^x = y.$
$y-1=0$
$... | 4 | [
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0.03466796875,
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linear operator??!
December 7th 2006, 12:14 PM #1
linear operator??!
Hi for all,,
Can someone prove that:
If A is an additive operator and continuous from a linear space X into a linear space Y;then A is a linear operator ??!
thanks for all respondings
regards..
Miss_Lolitta
The spa... | 5 | [
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[SOLVED] Deriving a Formula
February 28th 2009, 01:39 PM #1
Member
Joined
Nov 2007
Posts
149
[SOLVED] Deriving a Formula
How do you derive a formula for both $\cos {3\Theta}$ and $\cos {4\Theta}$? Do you just use the sum and difference formulas?
What do you mean by "deriving" the "formulas"? Are you... | 4 | [
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Simultaneous Topology, Shape, and Sizing Optimisation of Plane Trusses with Adaptive Ground Finite Elements Using MOEAs
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 838102, 9 pages
http://dx.doi.org/10.1155/2013/838102
Research Article
Simultaneous Topology, Shape, and Sizing Optimisation of Pl... | 4 | [
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0.00897216... | 22,831 | 22831 | |
Question on 3-d vectors
June 2nd 2009, 03:12 AM #1
Junior Member
Joined
Dec 2008
Posts
33
Question on 3-d vectors
The CN Tower is 553 m tall. A person is south of the tower, in a boat on Lake Ontario at a position that makes an angle of elevation of 10 degrees to the top of the tower. A second person is
... | 4 | [
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-0.023193359375,... | 22,832 | 22832 | |
The Tacoma Bridge
The Tacoma Narrows Bridge in Washington state, was with 1.9 km length one of the largest suspended bridges built at the time. The bridge connecting the Tacoma Narrows channel collapsed in a dramatic
way on Thursday November 7, 1940. Winds of 35-46 mi/hours =65-75 km/hr) produced an oscillation which... | 4 | [
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... | 22,833 | 22833 | |
Logic Trouble.
April 21st 2010, 03:44 PM #1
Newbie
Joined
Apr 2010
Posts
2
Logic Trouble.
Hello, I am stuck trying to figure this Symbolic Logic problem out. I'm using the rules of inference and replacement rules. I've taken it two different ways, and became stuck on both of these.
Key:
~ : Neg... | 4 | [
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-0.0130004882... | 22,834 | 22834 | |
Uniform Circular Motion
September 16th 2008, 08:13 PM
Elite_Guard89
Uniform Circular Motion
A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t(1)=4.00s, it is at point (5.00m, 6.00m) with a velocity (3.00 m/s)j and acceleration in
the position x direct... | 5 | [
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0.0... | 22,835 | 22835 | |
Physics Forums - Calculating driving force from wheel rpm, wheel radius and engine power
paul_harris77 Oct13-09 01:33 PM
Calculating driving force from wheel rpm, wheel radius and engine power
I have spent a while trying to work out a simple equation to give me the driving force of the engine in a car using the ... | 4 | [
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-... | 22,836 | 22836 | |
Verify trig identity
verify the identity. cos(pi-theta) + sin(pi/2 + theta) = 0 can anyone please explain... Thanks!!!
Hello, overduex! One method is to use the Compound-angle Formulas: . . $\sin(A + B) \;=\;\sin(A)\cos(B) + \sin(B)\cos(A)$ . . $\cos(A - B) \;=\;\cos(A)\cos(B) + \sin(A)\sin(B)$ Verify the identity: .
... | 4 | [
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solving this equation
sin x - square root of 3 x cos x=2 no idea how to do it o.o
I read it as $\ \ \sin{(x)} - \sqrt{3} \times \cos{(x)} = 2$
Lol, didn't see the middle x was slightly shorter than the other ones Actually it isn't. So it still was ambigious To answer the question : consider putting all trigonometric ... | 4 | [
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0.0... | 22,838 | 22838 | |
Electrostatic Potential Concept
formal
If one says that PE is calculated bringing a test charge from infinity to anywhere and
the time required to do this is infinite, then he is saying simply we cannot calculate it.
Am I wrong?
Yes. The work done by a conservative force is equal to the difference between the init... | 4 | [
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... | 22,839 | 22839 | |
Implicit Differentitationl;finding equation
June 25th 2008, 01:34 PM
lemontea
Implicit Differentitationl;finding equation
Find all the points of the elispe 3x^2+2y^2=12 where the tangent line has slope 1. Make a sketch of the elispe and the tangent line to confirm your answer as well.
June 25th 2008, 01:52 PM
... | 5 | [
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0.019... | 22,840 | 22840 | |
Decreasing Functions
November 19th 2009, 09:43 AM #1
Junior Member
Joined
Nov 2008
From
Far away.
Posts
47
Hello!
This is a question about the function f(x) = 1 + e–2x.
First I have to find f¢(x). I have found this to be: -2e^-2x
Then I have to:
Let P be the point on the graph of f... | 4 | [
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0.125,
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0... | 22,841 | 22841 | |
Continuous- and Discrete-Time Stimulus Sequences for High Stimulus Rate Paradigm in Evoked Potential Studies
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 396034, 10 pages
http://dx.doi.org/10.1155/2013/396034
Research Article
Continuous- and Discrete-Time Stimulus Sequences for Hi... | 4 | [
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0.064453125,
0.00... | 22,842 | 22842 | |
A Review of Solar Radiation Models—Part I
Journal of Renewable Energy
Volume 2013 (2013), Article ID 168048, 11 pages
http://dx.doi.org/10.1155/2013/168048
Review Article
A Review of Solar Radiation Models—Part I
Department of Applied Sciences & Humanities, Institute of Engineering & Technology, Gautam Buddh Technic... | 4 | [
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Patent US4914698 - One-show blind signature systems
BACKGROUND OF THE INVENTION
1. Field of the Invention
This is a continuation of application Ser. No. 168,802 filed 3-16-88, now abandoned.
This invention relates to cryptographic systems, and more specifically to public-key digital signature systems providing unlin... | 4 | [
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Projectiles using calculus
August 25th 2010, 04:43 AM
differentiate
Projectiles using calculus
Show that to hit a target h metres above what was its maximum range position on
a horizontal plane, the initial speed of a projectile projected at the same angle as before, must be increased from V to $\frac{V^2}{\... | 4 | [
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... | 22,845 | 22845 | |
Prove a sequence converges to 1
September 29th 2012, 04:02 PM #1
Junior Member
Joined
Dec 2010
Posts
30
Prove a sequence converges to 1
I am new to the world of proofs and I'm working on an assignment for Analysis. While I understand the concept of convergence I'm finding that writing the proofs is diffi... | 5 | [
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... | 22,846 | 22846 | |
Relation between gibbs free energy and equilibrium constant
Borek
Do you know what Q is? (To be honest using q is IMHO confusing).
Thanks, was looking at q as in heat. There is not a question on the equivalence of ΔG for
ΔG = -RTlnK
[eq]
and ΔG = ΔH - TΔS as Ill show for anyone who wants to see it
N
[2]
+ 3H
... | 5 | [
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-0.048583984375,
... | 22,847 | 22847 | |
trigonometry with triangle
May 19th 2008, 09:35 AM #1
Newbie
Joined
May 2008
Posts
1
trigonometry with triangle
The pt T is the top of a vertical lighthouse.Boats are moored at pts A,B andC.The foot O of the lighthouse A,B and C are all at sea level.The boat A is 85m from the ptO and the angle of elevati... | 4 | [
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0.001884460449... | 22,848 | 22848 | |
Kinetic Energy
Kinetic energy is the energy of motion. An object that has motion - whether it is vertical or horizontal motion - has kinetic energy. There are many forms of kinetic energy - vibrational (the energy
due to vibrational motion), rotational (the energy due to rotational motion), and translational (the energ... | 4 | [
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0.033935546875,
0... | 22,849 | 22849 | |
Operations with factorials
June 5th 2013, 10:49 AM #1
Newbie
Joined
Dec 2012
From
be
Posts
19
Operations with factorials
Hi, i'm having troubles understanding operations with faculty.
If:
(3k)! (k+1)! (2(k+1))!
__________________
k! (2k)! (3(k+1))!
Then why is this equal to:
... | 4 | [
-0.01373291015625,
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0.0... | 22,850 | 22850 | |
Related Rates, water entering trough problem
October 26th 2009, 03:59 PM #1
Newbie
Joined
Mar 2009
Posts
7
Related Rates, water entering trough problem
A trough is 15ft long and 4ft across the top. Its ends are isosceles triangles with height 3 ft. Water runs into the trough at a rate of 2.5 cubic feet p... | 4 | [
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0.002822875976... | 22,851 | 22851 | |
inequalities
Quadratic Inequalities are always easiest to solve if you complete the square. $\displaystyle x^2 - 2x - 3 \leq 0$ $\displaystyle x^2 - 2x + (-1)^2 - (-1)^2 - 3 \leq 0$ $\displaystyle (x - 1)^2 - 4 \
leq 0$ $\displaystyle (x - 1)^2 \leq 4$ $\displaystyle \sqrt{(x-1)^2} \leq \sqrt{4}$ $\displaystyle |x-1| \... | 4 | [
0.018310546875,
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0.00537109375,
0.07666015625,
... | 22,852 | 22852 | |
Math Help
May 1st 2006, 02:07 AM #1
I am finding it very hard to solve this integration problem. Can some one explain the process step by step so that I will be able to do futher problems by myself.
Heres the question:
$\int\frac{1}{x\sqrt{4-9In^2(x)}}dx$
I know the solution but don't know how to g... | 5 | [
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-0.014404296875,
-0.0162... | 22,853 | 22853 | |
Distances
December 10th 2010, 01:08 AM
Evaldas
Distances
I don't understand this:
http://img837.imageshack.us/img837/4438/85154834.jpg
The plan shows the roads between towns A, B and C. Find the distance:
a) from A to BC;
b) from B to AC;
c) from C to AB.
December 10th 2010, 01:26 AM
ark600... | 4 | [
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... | 22,854 | 22854 | |
Two series/sequence problems
November 16th 2012, 12:39 PM #1
Newbie
Joined
Aug 2012
From
London
Posts
22
Two series/sequence problems
Evening all, two questions here, first off I'm just sceptical with my answer for the first question, in great need of a second opinion in terms of my methods etc. The ... | 4 | [
-0.125,
-0.0181884765625,
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0.0233154296875,
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0.011962890625,
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-0.0224... | 22,855 | 22855 | |
linear algebra Gram-Schmidt in Function Spaces problem
August 18th 2010, 10:49 AM #46
Whoops. Not sure integration by parts will get you the $H_{1}$ integral. Let me think on that one a bit more.
so the normalized H_0 would be sqrt(sqrt(pi))?
Oh ok, this problem is a lot more work than I was expecting.
... | 5 | [
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PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 767853, 12 pages
http://dx.doi.org/10.1155/2013/767853
Research Article
PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application
^1Electrical and Comput... | 4 | [
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-... | 22,857 | 22857 | |
-Bernstein Polynomials of Unbounded Functions with
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 349156, 7 pages
http://dx.doi.org/10.1155/2013/349156
Research Article
On the -Bernstein Polynomials of Unbounded Functions with
Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey
... | 5 | [
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-0... | 22,858 | 22858 | |
with Killing and Branching: Applications to Wright-Fisher Models with or without Selection
International Journal of Stochastic Analysis
Volume 2011 (2011), Article ID 605068, 37 pages
http://dx.doi.org/10.1155/2011/605068
Research Article
Nonconservative Diffusions on with Killing and Branching: Applications to Wrig... | 4 | [
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linear transformations
September 15th 2012, 07:11 PM
bonfire09
linear transformations
I have to show that transformation T defined by T(x1,x2)=(2x1-3x2,x1+4,5x2) is not linear?. I know by definition that T(u+v)= T(u)+T(v) and that T(cv)=cT(v). But how do I use this to prove the
question?
September 15th 2012... | 5 | [
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Veryfing ODE for complicated y(t)
1. The problem statement, all variables and given/known data
For the differential equation, verify (by differentiation and substitution) that the given function y(t) is a solution.
2. Relevant equations
[itex] y' - 4ty = 1 [/itex]
[itex] y(t) = \int_{0}^{t} e^{-2(s^{2}-t^{2})} ds[/i... | 4 | [
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-0... | 22,861 | 22861 | |
derivate
1. Find the derivative of $(2 \sqrt{x} + 2)(x - \sqrt{x})$. This uses the product rule, so: $\frac{d}{dx}[(2 \sqrt{x} + 2)(x - \sqrt{x})]$ = $\left ( 2 \cdot \frac{1}{2} \frac{1}{\sqrt{x}} \right )(x
- \sqrt{x}) + (2 \sqrt{x} + 2) \left ( 1 - \frac{1}{2} \frac{1}{\sqrt{x}} \right )$ = $\left ( \frac{1}{\sqrt{x... | 5 | [
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0.... | 22,862 | 22862 | |
produce of eq with sor and por
July 20th 2008, 09:39 AM #1
Junior Member
Joined
Jul 2008
Posts
52
produce of eq with sor and por
roots a/b, 1/ab
sor = a/b + 1/ab
= (a^2+1 )/ab
por = a/b X 1/ab
= a/ab^2
=1/b^2
form the eq with details pls.
(answer provided is abx^2 -a^2x +... | 4 | [
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0.01434326171875,... | 22,863 | 22863 | |
Tangent lines
February 28th 2009, 04:18 AM #1
Junior Member
Joined
Sep 2007
Posts
56
Tangent lines
I have a problem that I do not know how to start. If anyone could give me a hint on how to start it, that would be great.
Let $f$ be the function given by $f(x) = e^{-x}$, and let $g$ be the function g... | 4 | [
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Specify critical region, calculate the test stat?
April 7th 2009, 08:13 PM #1
Newbie
Joined
Mar 2009
Posts
15
Ok the question says:
Specify the critical region and calculate the test statistic based on data in the table below:
Ho: $\mu$ =75
Ha: $\mu$ < 75
alpha = .05
n = 64
$\bar{x... | 5 | [
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Patent US7542624 - Window-based method for approximating the Hausdorff in three-dimensional range imagery
CROSS-REFERENCE TO RELATED APPLICATION
This application claims the benefit of U.S. Provisional Application No. 60/688,886, filed Jun. 8, 2005, which is incorporated herein by reference.
STATEMENT OF GOVERNMENT IN... | 4 | [
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-0.0015487670898437... | 22,866 | 22866 | |
Patent US6445927 - Method and apparatus for calibrating base station locations and perceived time bias offsets in an assisted GPS transceiver
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to a satellite positioning receiver, and more particularly to a Global Positioning... | 4 | [
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Physics Forums - View Single Post - Time dilation ll
cos,
I assume that you are refering to the section titled "Physical Meaning of the Equations Obtained in Respect to Moving Rigid Bodies and Moving Clocks" since that section ends with:
Thence we conclude that a balance-clock at the equator must go more slowly, by ... | 5 | [
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... | 22,868 | 22868 | |
f: [0,1]-->]0,1[, f injective
October 1st 2010, 06:31 AM #1
Junior Member
Joined
Sep 2009
Posts
62
f: [0,1]-->]0,1[, f injective
Hello,
I'm looking for a injective function defined as f: [0,1]-->]0,1[.
How should I start?
I'm trying to start with what it implies:
f:A--->B
A=[0,1]={x:0... | 5 | [
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Intersection of paraboloid and plane
February 8th 2011, 08:56 AM
maximus101
Intersection of paraboloid and plane
If C is the curve in reals^3 which is the intersection of the paraboloid {(x,y,z) s.t. z= (x^2) + (y^2)}
With the plane {(x,y,z) s.t. z= 3 -2y}
And L is the segment of C which lies in the half... | 5 | [
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-0.111328125... | 22,870 | 22870 | |
Complement Addition
How do you use "Complement Addition" to subtract binary, hexadecimal, and decimal numbers?
1. You can use this method only if you have a limited number of digits to write a number. 2. You have to use a carry bit for these operations. 3. You have to calculate the compliment of a number
first. Exampl... | 4 | [
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0.040283... | 22,871 | 22871 | |
Group theory question
November 29th 2012, 03:07 PM #1
Member
Joined
Apr 2008
Posts
137
Thanks
4
Group theory question
Hi,
Let $H_{1}, H_{2}, H_{3}$ be subgroups of a group $G$ under addition. Moreover suppose $x\in H_{1}, y\in H_{2}, x+y \in H_{3}$
I'm wondering if it then follows that $H_{... | 5 | [
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Finding Volume using integration
1. The problem statement, all variables and given/known data
Find the volume of the solid formed by rotating the region enclosed by:
(e^(1x)+2)/y=0/x=0/x=.9
about the y axis
2. Relevant equations
Probably disk method i would assume:
V=pi*int((f(x)^2) dx from bounds a to b
3. The att... | 5 | [
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Value of a normal random variable.
June 17th 2009, 09:27 PM #1
Junior Member
Joined
Jan 2008
Posts
35
Value of a normal random variable.
I just got another quick question related to this.
"Nominal 375mL cans of soft drink have a mean content slightly above this value so that the stated contents are ... | 5 | [
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... | 22,874 | 22874 | |
If an integer is to be randomly selected from set M above
Author Message
TAGS:
If an integer is to be randomly selected from set M above [#permalink] 12 Jan 2008, 04:29
1
... | 4 | [
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... | 22,875 | 22875 | |
Surface integral with differential forms
Hi, I'm trying to solve a problem in David Bachman's Geometric Approach to Differential Forms (teaching myself.) The problem is to integrate the scalar function f(x,y,z) = z^2 over the top half of
the unit sphere centered at the origin, parameterized by [tex]\phi(r,\theta) = (rc... | 5 | [
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0.0089111328... | 22,876 | 22876 | |
Quadradic Progressions.
June 12th 2006, 06:31 PM
ThePerfectHacker
Quadradic Progressions.
Consider the following sets.
$S_1=\{a_1n^2+b_1n+c_2|n\in \mathbb{Z}\}$
$S_2=\{a_2n^2+b_2n+c_2|n\in \mathbb{Z}\}$
.....
$S_k=\{a_kn^2+b_kn+c_k|n\in \mathbb{Z}\}$
Where, $a_1,a_2,...,a_kot = 0$
Prove ... | 5 | [
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0.... | 22,877 | 22877 | |
Weird Sequence
Let $a_1=1$. For all $n>1$, define $a_n=\sum_{\substack{i<n \\ \gcd(i,n)=1}}a_i$ So $a_2=a_1$ and $a_4=a_1+a_3$. Find $a_{24}$
Hello, Let n be 24 You're looking for $a_{24} = \sum_{\substack{i<24 \\ \gcd(i,24)=1}} a_i$ All i<24 with gcd(i,24)=1 are : 1,2,5,7,11,13,17,19,23 Hence $a_{24} = a_1+a_2+a_5+a_... | 5 | [
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-0.043212890625,
-0.00607299804... | 22,878 | 22878 | |
Math Help
September 15th 2008, 07:11 AM #1
Newbie
Joined
Sep 2008
Posts
6
Please help
Hello. I'm having trouble with the 2 last calculus exercises witch I just can't solve
1) 1-sinx -cosx +sin2x+cos2x=0
2)log(2 below) (4^(x+1)+4) * log(2below) (4^(x)´+1)=log(1/square root of 2 below) (square r... | 5 | [
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0.021... | 22,879 | 22879 | |
Work done by a force field
WHAT?? Of course, the gradient is a vector! The "gradient" of the scalar function f(x,y) is defined as the vector f[x]i+ f[y]j. Wakingrufus was referring to vector quantity F(x,y) = (x^2)(y^3)i + (x^
3)(y^2)j AS a gradient, not taking the gradient of it. (At least I hope not!)
Yes, you could... | 5 | [
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0.060058593... | 22,880 | 22880 | |
De Moivre's Theorem Question
September 13th 2008, 09:51 PM #1
Newbie
Joined
May 2008
Posts
19
De Moivre's Theorem Question
Hi everyone!
I have this question:
If z = 1 + i√3, use de Moivre's theorem to find z^5 in cartesian form.
I'm a bit lost, do I find all the roots?
The steps I've ... | 5 | [
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-0.125,
-0.0091552734375,
-0.0... | 22,881 | 22881 | |
rectangle with unknown sides?
June 17th 2008, 11:28 AM #1
rectangle with unknown sides?
Ok we have this rectangle questiosn that makes no sense to me.
Here is a diagram of the question
The smaller rectangle is 4 by 5 metres which the area would be 20 metres. Then the rectangle 'grows' bigger and then h... | 4 | [
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center of mass: functions with respect to y
February 9th 2013, 03:15 PM
infraRed
center of mass: functions with respect to y
Hi. In Calc 2 I have some homework questions for calculating the moments and center of mass for planar laminae. Fortunately, the book gives the exact equations necessary for the calculatio... | 4 | [
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Sketching graph of quadratic function
Diagram shows the graph of y=8-2(x-a)^2. find the value of a and b..
Last edited by patoshik; January 31st 2010 at 04:18 AM.
First look for the y-intercept: Set x = 0 that gives you y = ? Then you wan´t to find the x intercepts. So set y = 0 Then 2(x-2)^2 must equal 8.. But you g... | 4 | [
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How to integrate when the dx, the differential, is in the denominator?
January 12th 2013, 03:05 AM #1
Newbie
Joined
Jan 2013
From
Israel
Posts
9
How to integrate when the dx, the differential, is in the denominator?
the problem is:
$dx \cdot y=(A-dx)dy$
it yields:
$\frac{dx}{A-dx}=\frac{d... | 5 | [
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Patent US20020035553 - Intelligent interpolation methods for automatic generation of an accurate digital elevation model
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention
[0002] The present invention relates generally to interpolation methods for automatic generation of an accurate digital elevation model,... | 4 | [
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0... | 22,886 | 22886 | |
Zero Function
March 31st 2013, 07:30 PM
spotsymaj
Zero Function
I have had several homeworks lately that refer to the zero function. This time we are asked to prove the set of all p(x) which determine the zero function is an ideal of F[x]. Where F is a field.
I dont understand what it means by the zero funct... | 5 | [
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Rating System Math
The KGS rank system is based on the assumption that there is some value k such that if A plays B in an even game, then the probability that A wins is given by:
P[A wins] = 1 / (1 + e^k(Rank[B] - Rank[A]))
and the probability that A loses is given by
P[A loses] = 1 - P[A wins]
Further, it is assu... | 4 | [
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Basic Algebra Word Problems (I got a few)
January 23rd 2007, 11:19 AM
NemesysEvolved
Basic Algebra Word Problems (I got a few)
1. One-sixth of the sum of a certain number plus ten is equal to one-quarter of the number. What is it?
2. Find a number such that if it is multiplied by seven and eight is then add... | 4 | [
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evaluate the integral with inverse trig func.
September 14th 2009, 04:56 PM #1
Member
Joined
Sep 2009
Posts
124
∫ 4ds/ (√4-s 2 )
(integrate from 0 to 1
i tried moving the top 4 outside (as 1/4):
[1/4 sin^-1 (s/2) ] from 0 to 1
1/4 sin^/1 (1/2) = 1/4 (pi/6)= pi/24
but the answer is 2... | 5 | [
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Newton's Method special case troubles....
February 7th 2011, 03:00 PM
Glockstock
Newton's Method special case troubles....
Most analyses of Newton's method assume that $f'(a) eq 0$,
where a is the solution of the nonlinear equation.
I'd like to investigate what happens in the special case where $f'(a) = ... | 5 | [
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Quadratics Help
July 16th 2007, 05:58 PM #1
Quadratics Help
k i am a grade 11 student and need help with some questions
These question are from Grade 11 Nelson Book (Canadian) From a quadratic section
1a) The line y = x - 1 intersects the circle X^2 + y^2 = 25 at two points. This line is called a secant... | 4 | [
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Interpreting the Phase Spectrum in Fourier Analysis of Partial Ranking Data
Advances in Numerical Analysis
Volume 2012 (2012), Article ID 579050, 15 pages
http://dx.doi.org/10.1155/2012/579050
Research Article
Interpreting the Phase Spectrum in Fourier Analysis of Partial Ranking Data
School of Computer Engineering,... | 4 | [
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systems of equations in three variables.
December 16th 2010, 04:13 PM
quikwerk
systems of equations in three variables.
I have a question here that I have only partially worked.
Question:
3c+4y+z=7
2y+z=3
-5+3y+8z=-31
Working:
Z=3-2y, given because 2y+z=3.
$3c+4y+z=7 \rightarrow 3c... | 5 | [
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R has an uncountable number of distinct subsets.
May 2nd 2011, 10:52 PM #1
Junior Member
Joined
Oct 2009
Posts
72
R has an uncountable number of distinct subsets.
It's a five part question leading up to the point that, if S is a subset of T, then if $S$ is dense then so is $T$. That much was easy but par... | 4 | [
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... | 22,895 | 22895 | |
Calculus 2
December 29th 2012, 12:58 PM
Aschu
Calculus 2
f(x,y) = x2 + y2 subject to the constraint xy = 1, find all extrema, if they exist. Where x is in [-10, 10]
The only (x,y) that satisfy the constraint are =+_1 and y=+_1. In both cases f(x) =2. Here is where I stuck, which one is the max/min?
December... | 4 | [
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A Gradient Boosting Algorithm for Survival Analysis via Direct Optimization of Concordance Index
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 873595, 8 pages
http://dx.doi.org/10.1155/2013/873595
Research Article
A Gradient Boosting Algorithm for Survival Analysis via Direct Optim... | 4 | [
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Hexagon Geometry
August 6th 2008, 05:14 AM #1
Member
Joined
May 2008
Posts
101
Hexagon Geometry
Have a go at this question ... it was from AIMO 2007 Intermediate Paper.
A point P is marked inside a regular hexagon ABCDEF so that angle BAP = angle DCP = 50 degrees. Find angle ABP.
In my opinion,... | 4 | [
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force vectors
The measures of the angles between the resultant and two applied forces are 65 degrees and 42 degrees. If the magnitude of the resultant is 24 pounds, find to the nearest pound the magnitude of the
smaller force.
sketch a parallelogram with one angle = 107 degrees the diagonal that connects the opposite ... | 4 | [
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... | 22,899 | 22899 |