content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Factorising polynomials in C
$<br /> z^4 - 2z^2 - 3<br />$ Help please, this is using imaginary numbers just so you know...
Hello, Let $t=z^2$ The equation is now $t^2-2t-3$ using the discriminant method : $\Delta=4+12=16=4^2$ --> $t_1 \& t_2=\frac{2 \pm 4}{2}=3 \text{ or } -1$ are the roots of the polynomial. --> $t^... | 4 | [
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0.09375,
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... | 14,900 | 14900 | |
Related Financial Functions - GNU Emacs Calc Manual
8.6.4 Related Financial Functions
The functions in this section are basically inverses of the present value functions with respect to the various arguments.
The b M (calc-fin-pmt) [pmt] command computes the amount of periodic payment necessary to amortize a loan. Th... | 5 | [
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0.0269775390625,
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-0.01635... | 14,901 | 14901 | |
Floating-point Basics
Programmers mostly fall into one of three categories in their understanding of floating point math: There are some who don’t know enough about it to recognize that its results are not completely
reliable; there are some who know just enough about it to think that its results are never reliable; an... | 4 | [
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0.0137939453125... | 14,902 | 14902 | |
Gyroscopic motion question?
1. The problem statement, all variables and given/known data
an apparatus consists of bicycle wheels A and B (assume I=mR^2) connected by a long rod with a pivot point at point C. wheel A is .8m away from pivot point, weight 3 kg, and has radius .4m. Wheel B
is .8m from pivot point, weighs ... | 5 | [
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0.0791015625... | 14,903 | 14903 | |
Atwood Machine Problem (Rotational Dynamics)
February 19th 2010, 11:35 AM #1
Newbie
Joined
Feb 2010
Posts
11
Atwood Machine Problem (Rotational Dynamics)
Two masses m1 and m2 are hung over a pulley, forming an Atwood Machine.
m1 = 0.400 kg
m2 = 0.410 kg
R, radius of pulley = 0.10 m
momen... | 4 | [
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... | 14,904 | 14904 | |
Brevet US5479511 - Method, sender apparatus and receiver apparatus for modulo operation
The present invention relates to a method, to a sender apparatus and to a receiver apparatus for modulo operation.
BACKGROUND
In access control systems, e.g. pay TV systems, square, or more general, d-th roots modulo X are used wh... | 4 | [
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0.0208740234375... | 14,905 | 14905 | |
On Generalized Derivations in Nearrings
Chinese Journal of Mathematics
Volume 2013 (2013), Article ID 752928, 4 pages
http://dx.doi.org/10.1155/2013/752928
Research Article
On Generalized Derivations in Nearrings
Department of Mathematics, Jamia Millia Islamia, New Delhi 110 025, India
Received 14 July 2013; Accept... | 5 | [
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0.101562... | 14,906 | 14906 | |
Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 251715, 12 pages
http://dx.doi.org/10.1155/2012/251715
Research Article
Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables
^1Faculty of Science... | 5 | [
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Patent US6975951 - Meter apparatus and method for phase angle compensation employing linear interpolation of digital signals
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention pertains generally to meter apparatus and, more particularly, to such apparatus receiving one or more first alternating curr... | 4 | [
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0.149... | 14,908 | 14908 | |
Why won't think equation work with the newton-raphson method?
(x^3+e^2x+5)^(1/3) It just ends up oscillating between 0.854 & -2.884
Very good point! $a^{1/3}= 0$ if and only if a= 0. That will not have the vertical tangent at the solution point. Skeeter's point was that the derivative of $y= (x^3+ e^x+ 5)^{1/3}$, $y= ... | 5 | [
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Patent US6337851 - Method and apparatus for relative error scheduling in a communications network using discrete rates and proportional rate scaling
CROSS REFERENCES TO RELATED APPLICATION
This application is a continuation of U.S. patent application Ser. No. 09/197,137 filed Nov. 20, 1998, now U.S. Pat. No. 6,108,305... | 4 | [
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Lienard-Wiechert potential
Just to remind you, the Lienard-Wiechert potential, as far as the scalar potential is concerned, is:
[tex] \phi(\textbf{r},t)=\frac{q}{|\textbf r-\textbf r'(t')|\left(1-\frac{v'(t')\cdot \textbf{u}}{c}\right)}[/tex]
, where [itex]\textbf u[/itex] is the unit vector in the direction of [itex... | 4 | [
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Initial Value Problems
September 15th 2009, 02:19 PM #1
Newbie
Joined
Sep 2008
Posts
11
1. y(dy/dx) = (y^3 - 1) (x/y) e^(ax^2) ; y(0) = -1
a > 0 is fixed constant
I solved to split up the x and y components and got:
(y^2)/(y^3 -1) dy = (xe^ax^2) dx
n(y) = m(x) (using equation above i mad... | 5 | [
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-0.... | 14,912 | 14912 | |
probability exercise with dependent events
September 17th 2011, 12:40 PM
achacy
probability exercise with dependent events
I have some difficulties in solving the following problem:
A deck of 52 playing cards, containing all 4 aces, is randomly divided into 4 piles of 13 cards each. Define events E1, E2, E3... | 5 | [
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-0.03759765625,
... | 14,913 | 14913 | |
Confirm answer: probability question
September 28th 2010, 06:37 AM #1
Member
Joined
Jan 2010
Posts
232
Confirm answer: probability question
I need a confirmation on the answer I have here.
A small lake has 105 fish: 40 are trout and 65 are carp. A fisherman caught 8 fish. What is the probability tha... | 5 | [
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-... | 14,914 | 14914 | |
Inverse Trig Integration
September 10th 2008, 02:57 PM #1
Member
Joined
Aug 2008
Posts
225
Inverse Trig Integration
I am trying to integrate arcsin (x^(1/2)).
I used a u-sub for x^(1/2) and tried to finish with integration by parts, but I ended up with something just as complicated, requiring anothe... | 5 | [
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0.052734375,
-0.0825195... | 14,915 | 14915 | |
partial fractions
March 11th 2010, 09:03 AM #1
Junior Member
Joined
Sep 2009
Posts
74
partial fractions
can someone point me in the right direction on this?
$\frac{8x^3+10x^2 + 54x + 72}{x^4 - 81}$
I factored the denominator to
$\frac{8x^2+10x^2+54x+73}{(x^2+9)(x^2-9)}$
so breaking it... | 4 | [
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0.078125,
-0.0... | 14,916 | 14916 | |
Fourier Transform and Wave Function
1. The problem statement, all variables and given/known data
a) Find the normalization constant N for the Gaussian wave packet [itex]\psi (x) = N e^{\frac{-(x-x_{0})^{2}}{2K^{2}}}[/itex]. b) Find the Fourier Transform and verify it is normalized.
2. The attempt at a solution
a) I ... | 5 | [
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0.039794921875,
-0.0... | 14,917 | 14917 | |
Patent US5390364 - Least-mean squares adaptive digital filter havings variable size loop bandwidth
FIELD OF THE INVENTION
This invention relates to the field of digital filtering and more particularly to the field of adaptive least means squares digital filtering.
BACKGROUND OF THE INVENTION
Digital filtering involv... | 4 | [
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0.0... | 14,918 | 14918 | |
Patent US6272487 - Query optimization through the use of multi-column statistics to avoid the problems of non-indexed column correlation
This application is a Continuation of application Ser. No. 08/808,521, filed Feb. 28, 1997, which application is incorporated herein by reference.
A portion of the disclosure of this... | 4 | [
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-0... | 14,919 | 14919 | |
Physics Forums - Expected value of Q(x,p)
nicksauce Jul5-08 01:24 PM
expected value of Q(x,p)
To find the expected value of Q(x,p) we evaluate [itex]<\psi|Q(x,-i\hbar \frac{\partial }{\partial x})|\psi>[/itex]. But what do you do if you want to find, say, <p^(3/2)>. How do you raise the
derivative operator to th... | 5 | [
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-0.0678... | 14,920 | 14920 | |
One Sided Limit Problem
September 25th 2013, 06:02 PM #1
Newbie
Joined
Sep 2013
From
Michigan
Posts
10
One Sided Limit Problem
I need to find the lim as x approaches 9 from the left of this function:
f(x) = ((sqrt(x))-3)/(x-9)
I know from creating a table of y values when x is near 9 and fr... | 5 | [
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-0.01397705078125,
-0.008544921875,
-... | 14,921 | 14921 | |
More questions:)
January 11th 2008, 07:58 PM #1
Junior Member
Joined
Dec 2007
Posts
41
More questions:)
1. How would u go about finding the inverse of the following funcions:
(i can do the regular ones)
a. f:R\{1} ~ R, f(x)= x+1/x-1
b. f:R\{2/3}~R, f(x)= 2x+3/3x-2
2. Let f:S~R be given ... | 5 | [
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0.0257568359375,
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-0.0... | 14,922 | 14922 | |
Functions
8.7 Binary Number Functions
The commands in this chapter all use two-letter sequences beginning with the b prefix.
The “binary” operations actually work regardless of the currently displayed radix, although their results make the most sense in a radix like 2, 8, or 16 (as obtained by the d 2, d 8, or d 6
c... | 4 | [
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0.068359375,
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0.0201416015625,
-0.07470703125,
0.0034027099... | 14,923 | 14923 | |
simple newtons method question
October 3rd 2011, 04:04 PM #1
Member
Joined
Nov 2008
Posts
146
simple newtons method question
so I have a cubic equation here with 3 roots I need to find using newtons method. Basically I wanted to know how to determine the starting point. I picked an x value close to the r... | 5 | [
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-0... | 14,924 | 14924 | |
An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 217540, 14 pages
http://dx.doi.org/10.1155/2013/217540
Research Article
An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation
^1Department of... | 5 | [
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0.029541015625,
... | 14,925 | 14925 | |
Concavity
January 4th 2009, 01:58 PM #1
Newbie
Joined
Jan 2009
Posts
13
Concavity
The graph of f(x)= integral from 0 to x (15(t^2) - 2(t^3) + 24)dt is concave up on (a,b). Find b-a.
Okay so I know from the curve sketching lesson in AB calculus that to find concavity you take the second derivative an... | 4 | [
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0.0152587890625,
0.09228515625,
0.00653076171875,
... | 14,926 | 14926 | |
Can't figure out how to find the integral of this equation
July 21st 2009, 01:32 PM #1
Newbie
Joined
Jul 2009
Posts
2
Can't figure out how to find the integral of this equation
how would I solve the integral of 1/(a+b*sqrt(y))dy
i've tried various approaches but I can't seem to get anywhere. Anyone ... | 5 | [
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Integral limit
July 12th 2011, 04:22 AM #1
Junior Member
Joined
Nov 2010
Posts
41
Integral limit
Does the integral in the attached image converge?
Can you give me a hint how to start solving this question. Thanks
Re: Integral limit
Here's the informal argument. I'll leave it to you to make it ... | 5 | [
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... | 14,928 | 14928 | |
Implicit differentiation
Hi, just wondering if I got this one right.
A circle is given by an equation (see image). The first task is to find y' and y'' in the point (0,0). This I have done. Using implicit differentiation I got:
y'=2 and y''=-5
Now, the second question reads:
"The circle describe... | 4 | [
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Analytical Study of Some Important Generalized Nonlinear Partial Differential Equations
Journal of Mathematics
Volume 2013 (2013), Article ID 146836, 8 pages
http://dx.doi.org/10.1155/2013/146836
Research Article
Analytical Study of Some Important Generalized Nonlinear Partial Differential Equations
Department of Ma... | 5 | [
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Optimal Selling Rule in a Regime Switching Lévy Market
International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 264603, 28 pages
http://dx.doi.org/10.1155/2011/264603
Research Article
Optimal Selling Rule in a Regime Switching Lévy Market
Department of Mathematics, Towson Univers... | 4 | [
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Automated Design of an FDI System for the Wind Turbine Benchmark
Journal of Control Science and Engineering
Volume 2012 (2012), Article ID 989873, 13 pages
http://dx.doi.org/10.1155/2012/989873
Research Article
Automated Design of an FDI System for the Wind Turbine Benchmark
^1Department of Electrical Engineering,... | 4 | [
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Patent US20070286298 - Doppler frequency determination for mobile wireless devices
TECHNICAL FIELD
Embodiments of the invention relate to wireless communications. More particularly, embodiments of the invention relate to determination of speed of movement of a wireless mobile device using Doppler
frequency information... | 4 | [
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... | 14,933 | 14933 | |
Line m and n pass through point (1,2). Is the slope of m
Author Message
TAGS:
Line m and n pass through point (1,2). Is the slope of m [#permalink] 20 Feb 2010, 22:38
... | 4 | [
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A Dynamic Cooperative Scheme with Multiple Antennas for Indoor Mobile Robot Localization
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 972371, 14 pages
http://dx.doi.org/10.1155/2013/972371
Research Article
A Dynamic Cooperative Scheme with Multiple Antennas for Indoor Mobile Robot Localization
Depart... | 4 | [
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Problems of statics, angular motion and simple harmonic motion
All Questions are shown on pictures.
My Calculated answers:
A1(a) R= 19.21∠68.7^o N
(b) E = 19.21∠-111.34^o N or = -19.21∠68.7^o N <--- Is't either one answer is correct or not? If not, which answer is correct and why? Thanks.
A2(b) I = 0.5mr^2 = 1.125kg... | 4 | [
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Help Wanted – Part 3
A key premise in Swinburne’s (deductive) argument in defense of his inductive version of the Cosmological argument (TCA) goes like this:
(TCA9) The probability that there will be a complex physical universe given that God does not exist is low. (EOG, p.151)
Based on Swinburne’s explanation of hi... | 4 | [
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Abstract Algebra - Rings and Subrings
February 19th 2013, 06:52 PM #1
Newbie
Joined
Dec 2012
From
United States
Posts
8
Abstract Algebra - Rings and Subrings
Let R be a finite commutative ring, that is if a, b are elements of R, then ab = ba.
Show that for any t $\in$ R, T = tR = {tr|r $\in$ R} i... | 4 | [
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Patent US20080120031 - Tracking method
FIELD OF THE INVENTION
The present invention is in the field of inertial navigation. More specifically the invention is regarding combination of information from several sources to improve the accuracy of tracking a
platform bearing a navigation system.
BACKGROUND OF THE INVENTI... | 4 | [
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basis of the subspace of R4 consisting of all vectors perpendicular to v.
April 6th 2011, 07:14 PM
Diggidy
basis of the subspace of R4 consisting of all vectors perpendicular to v.
v=[3 -5 7 9]^T
Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.
I have no clue how to do t... | 5 | [
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Convergence of series sqrt(n+1)-sqrt(n-1)
October 20th 2009, 09:10 AM #1
Junior Member
Joined
Oct 2009
Posts
40
Convergence of series sqrt(n+1)-sqrt(n-1)
$\sum_{n=1}^{\infty} (\sqrt{n+1}-\sqrt{n-1})$
I need to determine whether the series converges or diverges using either the integral test, d'Alemb... | 5 | [
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Algebra - Factoring
I've tried to factor this for a long time but I can't get it right. (x-2y)^3 + 4(2y-x)
well the directions were for me to factor it completely. Since the problem was (x-2y)^3 + 4(2y - x). I figured I had to use one of those formulas. So at first I multiplied a -1 into (2y - x) to make
it the same a... | 4 | [
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-0.0732421875,
-0.030151... | 14,942 | 14942 | |
Degenerated conic sections and classification
We know that a conic section is degenerated if and only if F(x,y,z) = f(x,y,z) . g(x,y,z) with f(x,y,z) and g(x,y,z) homogeneous polynomial functions in x,y and z.
Since F(x,y,z) is homogeneous with a degree = 2 , f(x,y,z) and g(x,y,z) are homogeneous with a degree = 1. Fr... | 4 | [
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-0.1... | 14,943 | 14943 | |
Find the surface area of an open-topped box
November 15th 2011, 01:19 PM #1
Junior Member
Find the surface area of an open-topped box
Re: Find the surface area of an open-topped box
Actually
$\pi r^2 h$ is the volume of a cylinder.
$2 \pi r^2+ 2 \pi r h$ is the Surface Area.
If you think about it ... | 4 | [
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simultaneous problem solving? year 10 extension work
June 29th 2008, 11:23 PM
white
simultaneous problem solving? year 10 extension work
eeek (Doh) these questions are confusing . year 10 extension work the teacher gave me.. need help. thank you
q.1an investor received $1400 interest per annum from a sum of... | 4 | [
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... | 14,945 | 14945 | |
different optimization problem
December 9th 2008, 01:39 PM
galactus
different optimization problem
Here's one that's a little different than the usual cylinder in a cone, cone in a sphere, etc.
Find the tetrahedron of largest volume that can be inscribed in a sphere of radius R.
If the tetrahedron has ... | 5 | [
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Simplify expression
April 28th 2011, 02:15 AM #1
Newbie
Joined
Apr 2011
Posts
6
Simplify expression
({3e}^{2x} - {e}^{-x})({e}^{x} + {3e}^{-2x})
Need help with the above equation ... Remove brackets and simplify expontential expression !!!
I got a result of .... after simplifying .... 8e ... i ... | 4 | [
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0.0400390625... | 14,947 | 14947 | |
Prime numbers question
June 4th 2009, 07:34 PM
Nerdfighter
Prime numbers question
My teacher has given my class a challenge task: to prove the following implication:
Let $a$and $n$ be integers such that $n \geq 1$ and $a \geq 2$.
Prove: If $a^n + 1$ is prime, then there exists an integer $m$ such that ... | 5 | [
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Patent US4321494 - Air-gap winding in an electrical machine
This is a continuation of application Ser. No. 587,618, filed June 17, 1975, now abandoned.
The present invention relates to an air-gap winding in an electric machine, of which the conductors extending in the axial direction of the machine are embedded in an ... | 4 | [
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-0... | 14,949 | 14949 | |
Complex numbers
March 9th 2010, 01:51 PM
TheCoffeeMachine
Complex numbers
I was doing an exercise on complex numbers, most of which was about finding the moduli and the arguments of complex numbers of the form $\dfrac{\left(x_{1}+iy_{1}\right)^m}{\left(x_{2}+iy _{2}\
right)^n}$ and $\left(x_{1}+iy_{1}\right)... | 5 | [
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Number Theory (find the smallest prime divisors)
November 11th 2011, 12:58 PM #1
Newbie
Joined
Oct 2011
Posts
7
Number Theory (find the smallest prime divisors)
I am only stuck on part c), but I will show you parts a) and b) to see where this question is coming from.
a) Prove that if p and q are odd... | 4 | [
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Very interesting article requires math I don't have, guru? If not, interesting NTL
Why did the mods move this from the relativity section to the homework section? The post said "I'm done with school so this isn't homework or anything", and the questions are clearly being asked in a
relativistic context.
Anyway, I'm no... | 5 | [
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0.0947265625,
-0.00860595703... | 14,952 | 14952 | |
Math Help
March 25th 2007, 07:53 PM #1
Junior Member
Joined
Nov 2006
Posts
59
Related Rates
The altitude of a triangle is increasing at a rate of 1cm/min while the area of the triangle is in creasing at a rate of 2cm^2/min. At what rate is the base of the triangle changing when the
altitude is 10cm ... | 5 | [
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Uniform circular motion and acceleration
Hi spacecadette, ok so let try and help you by starting you off in the right direction, so the question says that we can spiral motion as uniform circular motion combined with a constant upward
velocity. So lets do just that, we will first investigate this Uniform circular motio... | 4 | [
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A New Four-Scroll Chaotic Attractor Consisted of Two-Scroll Transient Chaotic and Two-Scroll Ultimate Chaotic
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 438328, 12 pages
http://dx.doi.org/10.1155/2012/438328
Research Article
A New Four-Scroll Chaotic Attractor Consisted of Two-Scroll Transien... | 4 | [
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0.05322265625,
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-0.00042915344238281... | 14,955 | 14955 | |
Patent US6595637 - Progressive multifocal ophthalmic lens with fast power variation
The present invention relates to multifocal ophthalmic lenses. Such lenses are well known; they provide an optical power which varies continuously as a function of the position on the lens; typically
when a multifocal lens is mounted in... | 4 | [
-0.0240478515625,
0.012451171875,
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0.0732421875,
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0.00787353515625,
0.024169921875,
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-0.04931640625,... | 14,956 | 14956 | |
How does an irreducible polynomial of prime power order split over an extension of prime power degree
up vote 4 down vote favorite
I asked this question in a similar form on math.se here, where it has been unanswered for a little over a week some work on it can be found there. The motivation for this question was anot... | 5 | [
0.00494384765625,
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0.036376953125,
0.0306396484375,
0.054931640625,
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Polynomial Interpolation
28.5 Polynomial Interpolation
Octave comes with good support for various kinds of interpolation, most of which are described in Interpolation. One simple alternative to the functions described in the aforementioned chapter, is to
fit a single polynomial, or a piecewise polynomial (spline) to ... | 5 | [
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0.00445556640625,
0.0213623046875,
0.0849609375,
-0.083984375,
0.007293... | 14,958 | 14958 | |
Volume and Surface Area of a Rotated Solid and Arclength
January 27th 2010, 09:54 PM #1
Junior Member
Joined
Jan 2010
Posts
28
Volume and Surface Area of a Rotated Solid and Arclength
Hello, I'm back again. I have three problems (two with two parts) that, if you guys wouldn't mind, I would like to have c... | 5 | [
0.05908203125,
0.030517578125,
-0.00262451171875,
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0.078125,
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-0.... | 14,959 | 14959 | |
Sampling distributions help
May 25th 2009, 03:16 AM #1
Newbie
Joined
May 2009
Posts
2
Sampling distributions help
Hello need some help on few questions
The amount of time spent by North American adults watching tv per day is normally distributed with a mean of 6 hrs and a std of 1.5 hrs.
A. wha... | 5 | [
0.0128173828125,
0.0074462890625,
0.07373046875,
0.0089111328125,
0.00051116943359375,
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0.05126953125,
0.0198974609375,
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0.031005859375,
0.04052734375,
-0.00811767578125,
-0.06884765625,
-0.0154418945312... | 14,960 | 14960 | |
Flat sheaves and induced morphism
up vote 1 down vote favorite
Hi,
I want to consider a module $P$ on a product $X \times Y$ of varieties over a field of characteristic zero, such that $P$ is flat over $X$. Furthermore I want to consider for each closed point $x$ on
$X$ the natural map
$i_x:Y\rightarrow X\times Y$,
... | 4 | [
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0.0240478515625,
0.0898... | 14,961 | 14961 | |
Finding a spanning set of a null space
October 2nd 2009, 01:38 AM #1
Newbie
Joined
May 2008
Posts
1
Finding a spanning set of a null space
Let U be the subspace of R4 given by:
U = nullspace of the matrix
[0 0 2 3 ]
[0 -3 -2 -2 ]
Find a spanning set for U.
Any and all help will b... | 5 | [
0.00506591796875,
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-0.040283203125,
-0.05712890625,
-0.028076171875,
-0.061767578125,
-0.0234... | 14,962 | 14962 | |
Epsilon-delta definition of limit
If you have problems understanding the definition of
[tex]\lim_{x \rightarrow a} f(x) = L[/tex]
start with a really easy example.
Easy example:
Consider [tex]f(x) = x[/tex] and [tex]\lim_{x \rightarrow 5} x = ?[/tex]
Obviously the limit is 5, i.e. [tex]\lim_{x \rightarrow 5} x = 5... | 5 | [
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0.0027313232421875,
-0.01165771... | 14,963 | 14963 | |
Residue problem
April 12th 2010, 09:54 PM #1
Newbie
Joined
Aug 2008
Posts
21
Residue problem
How do I find the residue of 1/(z^2 sinz) ? It seems to me that it has a 3rd order singularity at z=0, but I cant find the residue
It has a pole of order 3 at z = 0. And there is a standard formula (it will ... | 5 | [
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0.0458984375,
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0.0108642578125,
-0.006... | 14,964 | 14964 | |
There is a club of car-owners consisting of 100 members. 93
Author Message
TAGS:
shubhangi There is a club of car-owners consisting of 100 members. 93 [#permalink] 12 Feb 2004, 19:00
Se... | 4 | [
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2 definitions for argument, why?
Jhenrique
In the wiki, I found this definition for the argument:
This gives the inverse of [itex]\mathrm{cis}\,\theta = \cos \theta + i \sin \theta = e^{i\theta}[/itex].
It is not a definition of the argument
, but reflects the fact that if [itex]z = e^{i\theta}[/itex] then
[tex... | 4 | [
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... | 14,966 | 14966 | |
Proving ismorphism
August 16th 2012, 07:47 PM #1
Newbie
Joined
Aug 2012
From
Canada
Posts
21
Proving ismorphism
Define ⊕ on RXR by setting (a,b)⊕(c,d)=(ac−bd,ad+bc)Show that the function h from system (C,⋅)→(RxR,⊕) given by h(a+bi)=(a,b) is a one to one function from the set of complex numbers that i... | 4 | [
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0.0120849609375,
-0.0561523437... | 14,967 | 14967 | |
Math Help
September 6th 2008, 02:11 AM #1
Member
Joined
Nov 2006
Posts
152
solve
solve the equation
$x\sqrt {1 + \frac {1}{x}} + \frac {1}{x}\sqrt {x + 2} = 1 + \sqrt {x + \frac {2}{x} + 3}$
Hello,
$<br /> x\sqrt {1 + \frac {1}{x}} + \frac {1}{x}\sqrt {x + 2} = 1 + \sqrt {x + \frac {2}{x... | 4 | [
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[SOLVED] Trignometry and Radians Question
May 2nd 2008, 01:56 PM #1
[SOLVED] Trignometry and Radians Question
Question:
In the diagram, $AB$ is an arc of a circle, centre $O$ and radius $r \ cm$, and angle $AOB = \theta \ radians$. The point X lies on OB and AX is perpendicular OB.
(i) Show that the ar... | 4 | [
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0.03466796875,
-0.032470703125,
-0.00340270... | 14,969 | 14969 | |
Physics Forums - View Single Post - Can anybody explain the formula for Kinetic Energy?
Here’s my version of the derivation of the kinetic energy formula (first post using latex, so go easy)
Kinetic energy is force times change in distance.
[tex]
KE = F \Delta x
[/tex]
Force is mass times acceleration, which is a c... | 4 | [
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... | 14,970 | 14970 | |
[SOLVED] Mortgage Word Problem. HELP.
October 28th 2006, 10:52 PM #1
math-impaired
Guest
This is the question. I have no idea how to solve it and I am now in panic mode. I hope someone can help. How do I solve this word problem. What are the steps I need to know to correctly solve
it. Please help!
"A bank... | 4 | [
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Unique Sylow p-Subgroups
December 3rd 2011, 12:28 PM #1
Newbie
Joined
Dec 2011
Posts
1
Unique Sylow p-Subgroups
If p is an odd prime, prove the following.
a) If G is a group of order $(p-1)p^2$, then G has a unique Sylow p-subgroup.
b) There are at least four groups of order $(p-1)p^2$which are p... | 4 | [
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0.0208740234... | 14,972 | 14972 | |
Complex numbers questions
November 25th 2009, 11:37 PM #1
Junior Member
Joined
Nov 2009
Posts
38
Complex numbers questions
So I missed the last week of class because I've been sick and with my textbooks stuck in my school lockers, I can't really get caught up on work. My friend was able to send me two sa... | 5 | [
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I need help solving this equation
Hello joshua17hernandez! You use brackets, I hope you know, what they mean. So you want to solve $(x - \frac{3}{5}) - 1 = \frac{x-5}{4}$, right? Then $x - \frac{3}{5} - \frac{5}{5} = \frac{x}{4} - \
frac{5}{4}$ $x - \frac{8}{5} = \frac{x}{4} - \frac{5}{4}$ $- \frac{8}{5} + \frac{5}{4} ... | 4 | [
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0... | 14,974 | 14974 | |
Instantaneous (Midpoint)/Average Velocity?
1. The problem statement, all variables and given/known data
Prove the following theorems:
Theorem 1:
Vavg= (Vfinal+Vinitial)/2
TO Theorem 2:
Vavg=Vmp= V(t/2) <--Where V(t/2) represents a function read as V of t/2.
(t/2) is the midpoint in time for a given interval and V(t... | 4 | [
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0.03369140625,
0.03857421875,
0.00191497... | 14,975 | 14975 | |
Simple Trigonometric Equations
February 26th 2009, 06:11 AM
db5vry
Simple Trigonometric Equations
These are hard for me right now, it will be fine once I understand it but I'm not sure because it's very confusing!
If I had cos 3x = 0.5, would I:
Use cos^-1 0.5 = 60
and because cos is positive in the... | 4 | [
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0.010009765625,
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-0.08740234375,
-0.02... | 14,976 | 14976 | |
The probability for a range of numbers
October 16th 2012, 11:49 AM
TheMegaSage
The probability for a range of numbers
Let's say you have 24 people who are tossing a penny into a can. Each toss has a straight 15% chance of success. How do I figure out what percentage chance for each number, from 0 to 24, has of
... | 5 | [
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0.003082275390625,... | 14,977 | 14977 | |
Finding exact values
June 14th 2011, 09:19 AM #1
Junior Member
Joined
Sep 2010
Posts
60
Finding exact values
I dont really know what to do to solve this problem. It wants me to find exact values of each part labeled with a variable.
I have the solution manual, but it doesnt go into any kind of ... | 4 | [
-0.054931640625,
0.01300048828125,
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0.0247802734375,
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0.031982421875,
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... | 14,978 | 14978 | |
Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 678252, 12 pages
http://dx.doi.org/10.1155/2012/678252
Research Article
Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems
^1Department of Mathematics, North U... | 4 | [
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-0.018310546875,
-0... | 14,979 | 14979 | |
Need confirmation on set identity problem
February 2nd 2010, 01:24 PM
Runty
Need confirmation on set identity problem
I believe I may have solved this properly, but I have some nagging doubts about my process. Here is the question.
Show whether the set equality $(A-B) \cup (B-A) = (A \cup B) - (A \cap B)$ i... | 4 | [
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0.0289306640625,
0.07958984375,
0.03173828125,
-0.004425048828125,
-0.043457... | 14,980 | 14980 | |
Math problems please have a look.
Thanks you so much! Please attempt just a few if you don;t have much time. sc000aab42.jpg - Image - Photobucket - Video and Image Hosting
What is your difficulty with these? Several of these look like simple applications of basic rules. Why have you not made any attempt yourself?
#1 ... | 5 | [
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0.058349609375,
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0.09375,
-0.022216796875,
0... | 14,981 | 14981 | |
Bayes Rule probability problem.
May 9th 2011, 07:55 AM
johammbass
Bayes Rule probability problem.
Hi all,
I am not sure if this belongs to University Math help. It looks like it's basic enough but we are doing it in college. I hope I am not intruding in the wrong territory.
The problem is as follows:
... | 5 | [
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0.031494140625,... | 14,982 | 14982 | |
Poisson brackets and angular momentum
1. The problem statement, all variables and given/known data
Let f(q, p), g(q, p) and h(q, p) be three functions in phase space. Let Lk =
ε[lmk]q[l]p[m] be the kth component of the angular momentum.
(i) Define the Poisson bracket [f, g].
(ii) Show [fg, h] = f[g, h] + [f, h]g.
(iii... | 4 | [
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0.06030273437... | 14,983 | 14983 | |
Kinematics: A stone is projected vertically upwards, argh!
December 22nd 2012, 05:35 PM #1
Kinematics: A stone is projected vertically upwards, argh!
Hello,
I am having considerable trouble getting my head around questions involving the SUVAT equations. I can do them if I split them into up and down parts bu... | 4 | [
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0... | 14,984 | 14984 | |
Define Tetrahedron knowing one vertex, 3 vectors, opposite face.
Hopefully I've interpreted your problem correctly. If not, perhaps you can attach a picture showing the situation.
If we take the origin (your point D) to be the zero vector, and ##a##, ##b##, and ##c## are the vectors from the origin to the three prisms... | 4 | [
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... | 14,985 | 14985 | |
gcd proof
November 9th 2008, 06:11 PM
r0r0trog
gcd proof
can someone help me prove that gcd(p^a - 1, p^b - 1) = p^gcd(a, b) - 1, plz?
a and b are positive integers and p is a prime
this is how far i've come til i got stuck:
assume b >= a.
gcd(p^a - 1, p^b - 1) | (p^b - 1) - (p^a - 1) <=>
<=>... | 5 | [
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... | 14,986 | 14986 | |
joint and marginal p.m.f.s
May 20th 2009, 05:13 PM
redpack
joint and marginal p.m.f.s
In a smoking survey among boys between the ages of 12 and 17, 78% prefer to date
nonsmokers. 1% prefer to date smokers, and 21% don’t care. Suppose seven such boys are
selected randomly and X equals the number who prefe... | 4 | [
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Exact coordinates of M (The minimum point)
March 18th 2012, 12:20 PM
johnreal
Exact coordinates of M (The minimum point)
I have been doing past paper questions whole day, and each time i come across a problem i get the best help from this site, i only have two more questions and they are hard, in the first part ... | 5 | [
0.0299072265625,
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0.03... | 14,988 | 14988 | |
Polygonising a scalar field
Also known as: "3D Contouring", "Marching Cubes", "Surface Reconstruction"
... | 4 | [
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Volume of a solid generated by rotating a region about the y-axis
August 1st 2009, 05:12 PM #1
Junior Member
Joined
Aug 2009
Posts
29
Volume of a solid generated by rotating a region about the y-axis
"Sketch the region bounded by the curves $y = x^ {\frac{3}{2}}$, y = 8, x = 0, and find the volume of the... | 4 | [
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Differential
May 9th 2006, 03:56 AM #1
Junior Member
Joined
Apr 2006
Posts
37
Differential
Hello,
I have here a strength differential $\frac{-t}{\sqrt{1-t^2}}$
Normally is not a big problem but I making a mistake I don't know:
let my try $u=1-t^2$ thus $u'=-2t$
$v=\sqrt{u}$ thus $v'=\... | 5 | [
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Mathematical Induction
December 22nd 2012, 01:40 PM
AW63
Mathematical Induction
$5^{2n}-3^{n}$ is a multiple of 11 for all integers $n\geq 1$
My attempt at a solution so far (I haven't included shown the case for P(1) etc.
$P(k):5^{2k}-3^{k}=11p \\ P(k+1):5^{2k+2}-3^{k+1} \\ 5^{2}\cdot 5^{2k}-3\cdot 3^... | 4 | [
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Looking for a better method (convergence in mean square)
August 13th 2009, 05:59 AM #1
Looking for a better method (convergence in mean square)
Hi,
I'm preparing a lesson with a student, and since he's not a major in maths, I'm looking for a better solution than mine, because it looks too "mathematical"
... | 5 | [
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-0... | 14,993 | 14993 | |
MathGroup Archive: February 2005 [00253]
[Date Index] [Thread Index] [Author Index]
Re: bugs in Mathematica 5.1
• To: mathgroup at smc.vnet.net
• Subject: [mg54085] Re: bugs in Mathematica 5.1
• From: "Gennady Stupakov" <stupakov at y... | 5 | [
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Simple Harmonic Oscillator
Ok, So for part a, obtaining the equation of motion, i guess i should start by looking at the generic equation of motion:
displacement = amplitude * cosine ( angular frequency of oscillation * time + phase shift )
x(t) = A cos( omega*t + phi)
When x(t) = A, cos( om*t + phi) = 1 and om*t +... | 4 | [
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0.0117187... | 14,995 | 14995 | |
Thermodynamics help
Chestermiller
You have the equation of U as a function of T, and you know know that
[tex]C_v=\frac{\partial U}{\partial T}[/tex]
.
This is a "hypothetical" ideal gas.
Cv=∂U/∂T is valid for a "real" ideal gas.
The whole point here is that U(T) is not given by
dU=CvdT but by that other, more co... | 4 | [
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Writing an expression as a sum or difference of logs??
October 20th 2010, 11:04 PM #1
Junior Member
Joined
Sep 2010
Posts
51
Writing an expression as a sum or difference of logs??
Write ln [((x-3)^4(x+5)^1/2)/((2x-7)^9(x^1/3))] as a sum or difference of logarithms with all exponents simplified as far as ... | 4 | [
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Trigonometric Identities, need help fast!
February 28th 2009, 04:15 PM #1
Newbie
Joined
Nov 2008
Posts
11
Trigonometric Identities, need help fast!
I'm reading on a distance, and this is the first time I just got totally stuck. I need help really fast!
It's probably really easy.
I understand th... | 4 | [
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most general way to generate pairwise independent random variables?
up vote 10 down vote favorite
1
Is there a sort of structure theorem for pairwise independent random variables or a very general way to create them?
I'm wondering because I find it difficult to come up with a lot of examples of nontrivial pairwise in... | 4 | [
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