content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
limit
I'm doing my homework and got stuck on these problems. Can someone please help. Thank you much. http://img18.imageshack.us/img18/7430/35896163.jpg
Hi. 1) Do you have to use the hint? Alternatively there is the infinite geometric series $s_n := \sum_{k=1}^n \frac{1}{2^k}$ $j:=k-1$ $s_n := \sum_{j=0}^{n-1} \frac{1... | 4 | [
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Probabilty with events
March 20th 2007, 03:22 PM #1
Newbie
Joined
Mar 2007
Posts
20
We did this ages ago and I really can't remember how to do it! You will be loved forever if you can help me with this!
Question
The events A and B are such that
P(A) = 5/16, P(B) = 1/2 and P(A|B) =1/4
F... | 4 | [
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Patent US4247944 - V.29 Constellation detection method and apparatus
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to communication signal detection methods and apparatus, and more particularly to an improved method and apparatus for detecting complex signals transmitte... | 4 | [
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n
Degree Name
Doctor of Philosophy (PhD)
Supervisor
Dr. A.A. Harms
Abstract
This study is concerned with the analysis of the neutron transport equation with anisotropic phenomena. The mathematical method chosen for this analysis is the partial-range orthogonal function for
the representation of the angular depend... | 4 | [
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An explanation of ORS (spire measure)
The idea of omnidirectional relief and steepness (ORS), formerly known as spire measure, is to evaluate a point (often the summit of a mountain) by measuring its overall relief and steepness, using a
sort of average over all points surrounding the chosen point.
Here's a quick des... | 4 | [
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[SOLVED] Quick question on working with cdfs to find pdfs
March 14th 2010, 02:11 PM #1
Junior Member
Joined
Jan 2010
Posts
65
[SOLVED] Quick question on working with cdfs to find pdfs
Let $Y$ be a random variable and denote its pdf $f_Y$
In general, let $g$ be an increasing function on the range of ... | 5 | [
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Need help with a kinematics question
March 16th 2011, 03:25 AM #1
Newbie
Joined
Mar 2011
Posts
3
Need help with a kinematics question
Hi, I have a kinematics question which i can't solve and i need help. Here it is.
A particle moves in a straight line passing a fixed point O with a velocity of 3m/s.... | 4 | [
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What am I doing wrong with this proof?
August 16th 2011, 09:35 AM
terrorsquid
What am I doing wrong with this proof?
So, I'm trying to use induction to prove:
$\sum_{k=0}^n\left(\frac{-1}{3}\right)^k = \frac{3}{4} + \frac{1}{4}(-1)^n3^{-n},~~$$~~for~all~n \in \mathbb{N}$
Base case is true.
Assume... | 4 | [
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What is the derivative of an integral wrt the integrand?
By the fundamental thm of calc, the derivative of a definite integral wrt to the upper limit is the integrand evaluated at the upper limit.
$\frac{d}{dy} \int^{y}_{0} f(x) dx = f(y)$
What if I integrate wrt to the integrand?
$\frac{d}{df(x)} \i... | 4 | [
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Quotient (Factor) Groups of Z
Here is a way to list all the elements in a nice way. Say $n=3$ instead of using $(x,y) + \left< (3,3)\right>$ as to represent a coset I will just use $(x,y)$. When $n=3$. Define the "length" of $
(a,b)$ to be $a-b$. And as I explained different length give different cosets. So begin with ... | 5 | [
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Patent US5576548 - Nuclear imaging enhancer
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to a nuclear detector (gamma camera) for nuclear medicine imaging and the use of a wavelet based neural network (WNN) for segmenting noise from signal and the restoration of the
signal using the neu... | 4 | [
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Exponential function properties
February 18th 2006, 04:18 AM #1
Junior Member
Joined
Dec 2005
Posts
58
Exponential function properties
I am learning about exponential function so I need some help to understand.
I am learning about properties of function $f(x) = 2^x ,x \in Q$
I need explanation ... | 4 | [
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Acceleration of an aircraft
I think you guys are making this problem harder than it needs to be! First off, determine the maximum speed the slower aircraft can accelerate to using the height advantage. If that's less that
210mph, then you don't need to worry about solving the PDEs.
Heres my thinking:
Initially,
Thru... | 4 | [
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Weibull or Poisson?
March 4th 2012, 09:01 AM #1
Newbie
Joined
Jan 2008
Posts
9
Weibull or Poisson?
Exercise 3:
The lifetime of a roller bearing follows a lognormal distribution. The mean and standard
deviation of the corresponding normal distribution are 8 months and 2.5 months respectively.
... | 5 | [
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Course Content and Outcome
Course Content and Outcome Guide for MTH 243
Course Number:
MTH 243
Course Title:
Statistics I
Credit Hours:
5
Lecture Hours:
50
Lecture/Lab Hours:
0
Lab Hours:
0
Special Fee:
Course Description
Introduces displaying data with graphs, numerical descriptions of data,... | 4 | [
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Building a better roller coaster
March 22nd 2010, 09:20 AM
GiorgioCabrera
Building a better roller coaster
Calculus.. Building a better roller coaster?
Suppose you are asked to design the first ascent and drop for a new roller coaster. By studying photographs of your favorite coasters, you decide to make th... | 4 | [
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Mixed Volume and Boundary Integral Equation Method with Elliptical Inclusions and a Circular/Elliptical Void
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 942073, 10 pages
http://dx.doi.org/10.1155/2013/942073
Research Article
Mixed Volume and Boundary Integral Equation Method with Elliptical Incl... | 4 | [
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Patent US3843940 - Differential pulse code modulation transmission system
Elite States lshiguro et al.
atent [191 DIFFERENTIAL PULSE CODE MODULATION TRANSMISSION SYSTEM Inventors: Tatsuo Ishiguro; Yukihiko lliiima, both of Tokyo, Japan [73] Assignee: Nippon Electric Company Limited,
Tokyo, Japan Filed: Oct. 11, 1973 ... | 4 | [
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Patent US6973471 - Method and apparatus for implementing signed multiplication of operands having differing bit widths without sign extension of the multiplicand
Publication number US6973471 B2
Publication type Grant
Application number US 10/081,431
Publication date Dec 6, 2005
Filing date Feb 22, 2002
Prior... | 4 | [
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Transmitting Magnetic Loop Antenna de AA8C
A MORE EFFICIENT MAGNETIC LOOP ANTENNA
Variations on a Theme Continued
... | 4 | [
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... | 15,219 | 15219 | |
Raising Capital
October 27th 2010, 03:46 PM #1
Newbie
Joined
Sep 2010
Posts
10
Raising Capital
A company needs to raise $10 million to finance an investment. How many bonds would the firm need to sell (ignoring transaction costs)? Assume the company decides to issue 10-year maturity bonds
with a 5% c... | 5 | [
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normal Sylow subgroups
November 10th 2008, 12:20 PM
dori1123
normal Sylow subgroups
Let G be a finite group with $|G|=pqr$, where $p, q, r$ are primes with $p<q<r$. Prove that G has a normal Sylow subgroup for either p, q, or r.
November 10th 2008, 07:42 PM
NonCommAlg
Quote:
suppose to the contrary ... | 5 | [
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Double integration to find the area
June 5th 2009, 07:20 AM #1
Newbie
Joined
Jun 2009
Posts
2
Double integration to find the area
Use a double integral to find the area of the region.
The region inside the cardioid r = 1 + cos(θ) and outside the circle r = 3cos(θ).
I found the boundaries to be f... | 5 | [
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Transforming a differential equation into another differential equation
May 8th 2011, 07:40 AM #1
Newbie
Joined
May 2011
Posts
3
Transforming a differential equation into another differential equation
1. The problem statement
$m\frac{d^{2}x}{dt^{2}}+c\frac{dx}{dt}+kx=F_{0}cos \omega t \\\\LC\frac{d^... | 4 | [
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Bayes Theorem Problem Sets
September 9th 2009, 09:28 AM #1
Newbie
Joined
Aug 2009
Posts
9
Hi there! Hope you all could help me out with the following problems (4 in total):
1. It is known that a certain disease is caused by a gene mutation but is recessive in nature. This means that if B is a normal ... | 4 | [
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Rotational energy problem
April 26th 2010, 09:58 AM #1
Super Member
Joined
Nov 2008
Posts
597
Rotational energy problem
Question:
http://i.imgur.com/qWrXh.jpg
(Correct) Answers:
(a) 0.146938776m
(b) 0.102857143m
My work:
First off, my problem likely lies with the fact that it i... | 4 | [
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Multiple Solutions for Nonlinear Doubly Singular Three-Point Boundary Value Problems with Derivative Dependence
International Journal of Differential Equations
VolumeΒ 2012Β (2012), Article IDΒ 838947, 21 pages
http://dx.doi.org/10.1155/2012/838947
Research Article
Multiple Solutions for Nonlinear Doubly Singular Thr... | 5 | [
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[SOLVED] Write x^2 + 10x + 38 in the form (x+b)^2+c...
March 29th 2008, 11:35 AM #1
[SOLVED] Write x^2 + 10x + 38 in the form (x+b)^2+c...
Question:
Write $x^2 + 10x + 38$ in the form $(x+b)^2+c$ where the values of b and c are to be found.
(a) State the minimum value of $x^2 + 10x + 38$ and the value of ... | 4 | [
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0.00062942504882812... | 15,227 | 15227 | |
Some help with a relatively straight forward integral please!
June 28th 2012, 05:43 AM
euphmorning
Some help with a relatively straight forward integral please!
Just trying to understand the answer in my book here...
given that cos(2x) = 2cos^2 x -1
then:
cos^2 x = 1/2(cos(2x) + 1). agreed.
m... | 4 | [
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complete the square
$y = 3x^2 + 12x - 7$ Take out the common factor of 3 $y = 3[x^2 + 4x - \frac{7}{3}]$ Add a cleverly disguised 0... in other words, $\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2$ $y = 3[x^2 +
4x + 2^2 - 2^2 - \frac{7}{3}]$ Can you see that $x^2 + 4x + 2^2$ is a perfect square? $y = 3[(x + 2)... | 4 | [
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Comparison of Fuzzy Clustering Methods and Their Applications to Geophysics Data
Applied Computational Intelligence and Soft Computing
Volume 2009 (2009), Article ID 876361, 16 pages
http://dx.doi.org/10.1155/2009/876361
Research Article
Comparison of Fuzzy Clustering Methods and Their Applications to Geophysics D... | 4 | [
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... | 15,230 | 15230 | |
Simplifying Complex Fractions
June 16th 2009, 05:12 AM #1
Member
Joined
May 2008
Posts
101
Simplifying Complex Fractions
Hi, I have a fraction which I can't simplify fully.
I know that
By solving with a calculator, the answer is:
How do I get there, with working?
Please help.
... | 4 | [
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Last Sunday a certain store sold copies of Newspaper A for
Author Message
TAGS:
Last Sunday a certain store sold copies of Newspaper A for [#permalink] 26 Sep 2010, 10:41
... | 4 | [
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Integrate e^x(1-e^2x)^(1/2)dx
March 2nd 2013, 10:25 PM
verasi
Integrate e^x(1-e^2x)^(1/2)dx
Hi, I was wondering if you guys could check my work for indefinite integral of (e^x)(sqrt{1-e^2x)
Let u=e^x
The integral becomes:
integral of sqrt(1-u^2)
Then I do trigonometric substitution where I le... | 5 | [
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transpose and symmetry
June 23rd 2009, 02:35 PM
chrisc
transpose and symmetry
Prove if (transpose of A)*A = A, then A is symmetric and A = A^2:
I think I understand it, but Im not sure if I can put it into proper terms
Since the transpose of A = A (if symmetric), then if you multiply both sides of the ... | 5 | [
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0.0239257812... | 15,234 | 15234 | |
eq lines and surd
December 10th 2007, 10:05 AM
Chez_
eq lines and surd
have a picture of a line AB tht eq is y=4x-5 and passes through the point 9(2,3). The line BC is perp to AB and cuts the x axis at C. I need tofind the equation of line BC, which i have done, but
i also need to find the x coordinate of C... | 4 | [
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Physics Forums - Three same-mass freight cars, why force on each is not same ?
Quote:
QUESTION
three cars of mass m are pulled with force F by a locomotive. Find forces on each cars ?
assuming the force F is exerted on car C and nearest to C is car B and remaining one is A.
[tex]\vec{F}_{A}[/tex] is total sum of al... | 5 | [
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Calc 2 Sequence
November 15th 2007, 01:33 PM
poopforbrains
Calc 2 Sequence
Can anyone lend me a hand
Write the first 5 terms of the sequence
an = 3n!/(n-1)!
Find the limit of the sequence if the limit exists
an = (n-2)!/n!
November 15th 2007, 04:56 PM
ThePerfectHacker
November 15th 2007, 05... | 4 | [
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Patent US7483931 - Signal generator using IIR type digital filter; and method of generating, supplying, and stopping its output signal
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to a signal generator using an IIR type digital filter, which is used as a re-generator of, for example, mo... | 4 | [
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... | 15,238 | 15238 | |
Not Sure how to even start this one
October 8th 2012, 12:45 PM #1
Newbie
Joined
Oct 2012
From
United States
Posts
2
Not Sure how to even start this one
The mean number of travel days per year for salespeople employed by hardware distributors needs to be estimated with a 98% degree of confidence. For ... | 5 | [
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Distance Problem
October 19th 2009, 09:48 AM #1
Member
Joined
Sep 2006
Posts
134
Distance Problem
Two different routes between two cities differ by 21 mi. Two people made the trip between the cities in exactly the same time. One traveled the shorter route at 50 mi/hr. and the other traveled
the longe... | 4 | [
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Newton's Method: Numerical Analysis
June 8th 2008, 06:31 PM
Dream
Newton's Method: Numerical Analysis
Could someone please so me how Newton's Method is used in Numerical Analysis? My teacher is doing a horrible job of teaching it and he skips a lot of steps.
Newtons Method:
X(n+1) = x(n) - f(x(n))/f'(x... | 5 | [
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-0.020629... | 15,241 | 15241 | |
Independent Bernoulli trials - help with question!
January 31st 2011, 02:49 PM
Champ83
Independent Bernoulli trials - help with question!
Suppose that independent Bernoulli trials with parameter p are performed successively. Let N be the number of trials needed to get x successes, and X be the number of successe... | 5 | [
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Exponential
March 20th 2008, 12:27 AM
la_bordélique
Exponential
Question: What digit is found in the units place of 7 to the 1000th power ?
Can 7^1000 be broken down to 7^100 + 7^10?
3.23447651 × 10^84 + 282 475 249
so would the answer be 2?
March 20th 2008, 12:39 AM
Moo
Woah
Une françai... | 5 | [
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Brevet US5404324 - Methods and apparatus for performing division and square root computations in a computer
FIELD OF THE INVENTION
The present invention relates generally to the field of floating point arithmetic, and more particularly relates to improved methods and apparatus for performing division and square root c... | 4 | [
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4x^2-11x-3=0
If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + -11x + -3 = 0 Reorder the terms: -3 + -11x + 4x2 = 0 Solving -3 + -11x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x)(3 + -1x) = 0 Subproblem 1Set the factor '
(-1... | 4 | [
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Coin problem
February 5th 2010, 11:10 AM #1
Member
Joined
Jan 2008
Posts
173
Coin problem
Ayushi has six coins with a total value of 30 cents. The coins are not all the same.
Two of Ayushi’s coins will be chosen at random. What is the probability that the
total value of the two coins will be less... | 4 | [
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Grid-Connection Half-Bridge PV Inverter System for Power Flow Controlling and Active Power Filtering
International Journal of Photoenergy
Volume 2012 (2012), Article ID 760791, 8 pages
http://dx.doi.org/10.1155/2012/760791
Research Article
Grid-Connection Half-Bridge PV Inverter System for Power Flow Controlling and ... | 4 | [
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[SOLVED] tangent line to the graph
November 4th 2007, 12:15 PM #1
Newbie
Joined
Nov 2007
Posts
6
Hey... i have no idea how to work with the y's in the equation. '
The question is:
Determine the equation of the tangent line to the graph of the relation with equation xy^2+x^2y=12 at the point where ... | 4 | [
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confusing limit
April 29th 2010, 08:25 AM
nahduma
confusing limit
What is
$<br /> \lim_{n\to \infty} \frac{\pi}{2^n} \Sigma^{2^n}_{j=1} \sin(\frac{j\pi}{2^n})$
I'm getting 0 but I think i'm going wrong somewhere. Can anyone give me an idea?
April 29th 2010, 09:04 AM
Failure
Quote:
What abou... | 5 | [
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-0.00387573... | 15,249 | 15249 | |
Lifting a Box - Work and Power
cowmoo32
1. The problem statement, all variables and given/known data
A 7-kg box is being lifted by means of a light rope that is threaded through a single, light, frictionless pulley that is attached to the ceiling. If the box is lifted, at constant acceleration, from
rest on the floo... | 5 | [
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Patent US5285711 - Method and apparatus for tuning musical instruments
BACKGROUND OF THE INVENTION Field of the Invention
This invention generally relates to tuning musical instruments and more specifically to a novel method and apparatus for tuning certain musical instruments.
Description of Related Art
Conventiona... | 4 | [
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the number of roots of a polynomial in the first quadrant
December 4th 2011, 05:48 AM #1
Member
Joined
Feb 2011
Posts
147
Thanks
3
the number of roots of a polynomial in the first quadrant
I have to find out how many roots the polynomial
$f(z)=z^8+3z^7-z^5+2z^4+z+1,\,z\in\mathbb{C}$
has in ... | 5 | [
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-0.01293945... | 15,252 | 15252 | |
vector problem
January 8th 2010, 02:27 PM #1
vector problem
Hi guys,
This problem has been bothering me for a while now, and seems to contradict what I had learned in physics, that is, that the tension in a strong is not related to the length of the string. It
goes:
A clothesline is tied between two ... | 5 | [
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Geometry problems!
April 16th 2008, 06:39 AM #1
Newbie
Joined
May 2007
Posts
6
Geometry problems!
Okay so i got a giant packet full of everything and i don't get these 3 questions
There is a link attached to where the document is and it is on page 54 questions 4, 5 and 6
the archeology problem ... | 4 | [
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Big-Oh notation and a logarithmic function problem
November 18th 2011, 10:15 AM #1
Big-Oh notation and a logarithmic function problem
I need help with a problem I found in a Discrete Mathematics book.
The problem is:
Prove that the $\lfloor{\log_{2} n}\rfloor + 1$ is $O(\log_{2} n)$ or $\lfloor{\log_{2}... | 4 | [
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0.06884765625,
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0... | 15,255 | 15255 | |
Calculus of Variations - Noether's Theorem for fields
July 17th 2013, 07:10 PM #1
Member
Joined
May 2008
From
Melbourne Australia
Posts
203
Thanks
15
Calculus of Variations - Noether's Theorem for fields
I am working on the attached problem from the book "Emmy Noether's Wonderful Theorem". I beli... | 4 | [
0.0189208984375,
0.060546875,
0.12109375,
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0.0245361328125,
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0.00689697265625,
0.0005645751953125,
0.02490234375,
0.10009765625,
-0.0045166015625,
-0.00079345703125,
0.0019683837890625,
0.036376953125,
0.026611328125,
-0.07080078125,
-0.... | 15,256 | 15256 | |
4 equations
January 4th 2013, 10:09 AM #1
MHF Contributor
Joined
Dec 2007
From
Ottawa, Canada
Posts
3,080
Thanks
66
4 equations
4 equations, 4 unknowns:
u(r^2 - u^2) / (r^2 + u^2) = 156 [1]
v(r^2 - v^2) / (r^2 + v^2) = 96 [2]
w(r^2 - w^2) / (r^2 + w^2) = 63 [3]
(315uvw + 24336vw ... | 4 | [
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0.056640625,
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0.01214599609375,
-0.06396484375,
-0.029... | 15,257 | 15257 | |
Delta/Epilson proof
October 17th 2012, 07:09 AM #1
Newbie
Joined
Oct 2012
From
Canada
Posts
18
Delta/Epilson proof
Hello,
After reading the thread's sticky on how to do DE proofs, I attempted one of my home work questions so could someone let me know if I did it right? I think I did but my confi... | 4 | [
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0.0341796875,
-0.060791015625,
0.051025390625,
-0.033447265625,... | 15,258 | 15258 | |
Laurent Series and Number of Terms
October 27th 2010, 03:27 PM #1
Newbie
Joined
Feb 2010
Posts
14
Laurent Series and Number of Terms
Hello there,
How would I find the laurent series about 0 of 1/sinh(z) up to and including the z^5 term?
Thank you in advance!
This is not a particularly plea... | 5 | [
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0.01544189453125,
-0.... | 15,259 | 15259 | |
Integral Problem
February 1st 2008, 07:38 AM #1
Newbie
Joined
Feb 2008
Posts
10
Integral Problem
Hi
can anyone help with this one?
(integral) dx/x^2 +2 dx
where the limits are b= srt2 and a=0
MathCad gives answer of 1/8pi2^0.5 but not sure how to get there by hand
$\int_0^{\sqr... | 5 | [
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0.0673828125,
-0.0390625,
-0.0269775... | 15,260 | 15260 | |
Laplace transform to calculate an integral.
Use Laplace transform (with respect to t)to calculate the integral I=\int([\cos(tx)/(x^2+a^2)]dx t\geqslant 0 [IMG]file:///C:/Users/Jamie/AppData/Local/Temp/msohtmlclip1/01/clip_image002.jpg[/IMG]
Let $I(t) =\int_{0}^{\infty}\frac{\cos(tx)}{x^2+a^2}dx$ Then $\mathcal{L}\{I\}... | 5 | [
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0.052978515625,
-0.025390625,
0... | 15,261 | 15261 | |
going in circles
July 23rd 2009, 01:30 AM #1
Member
Joined
May 2009
Posts
91
Hi folks,
I am trying to solve the following question:
Find the equations of the two circles which pass through the point (2,0) and have both the y-axis and the line y - 1 = 0 as tangents.
This seems like an easy q... | 4 | [
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0.024658203125,
-0.126953125,
0.018920898437... | 15,262 | 15262 | |
Factorising polynomial over complex numbers
March 19th 2011, 05:23 PM #1
Senior Member
Joined
Apr 2010
Posts
487
Factorising polynomial over complex numbers
The question:
Factorise the polynomial $z^4 + 2z^2 - 3$ over the complex numbers.
My attempt:
Let $u = z^2$
$u^2 + 2u -3 = 0$
... | 4 | [
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-0.045166015625,
0.01806640625,
-0.011291503906... | 15,263 | 15263 | |
Problem 25
June 4th 2007, 11:11 AM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Problem 25
1)Let $S_1$ be a square in the coordinate plane. Divide this square into 4 equal squares by drawing lines straight down the middle. Pick any one of the smaller squares, call ... | 5 | [
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0.034912109375... | 15,264 | 15264 | |
Patent US6775084 - Circuit and method for determining the phase difference between a sample clock and a sampled signal
CROSS-REFERENCE TO RELATED APPLICATION
This application is related to U.S. Patent App. entitled CIRCUIT AND METHOD FOR DETERMINING THE PHASE DIFFERENCE BETWEEN A SAMPLE CLOCK AND A SAMPLED SIGNAL BY L... | 4 | [
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0.05... | 15,265 | 15265 | |
Find the limit - inverse trig
January 12th 2010, 11:10 AM
DBA
Find the limit - inverse trig
Find the limit:
lim x-> 0+ tan ^-1 (lnx) =?
I have no ide where to begin here? Can someone explain this in simple steps? Please, do not just give me another limit equation...
Thanks
January 12th 2010, 11:54... | 5 | [
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-0.0295... | 15,266 | 15266 | |
Integrals To Find Amount of Work Needed
September 25th 2006, 06:39 AM
TreeMoney
Integrals To Find Amount of Work Needed
I can't figure this out, I know how to do integrals, My problem is I can never set up the equations correctly. Can someone please help me solve this.
Toxic waste (a homogeneous liquid whos... | 5 | [
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0.046386718... | 15,267 | 15267 | |
Algebra Word Problem
March 21st 2007, 02:01 PM
blacksuzaku
Algebra Word Problem
Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to
that, round the total to the nearest w... | 4 | [
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-0.018310546875,
-0.... | 15,268 | 15268 | |
Odds of 1 to 6 straight
What are the odds of rolling 1,2,3,4,5,6 (any order) with one throw of six standard dice?
are you tossing the die six times? I didn't understand the one throw comment. $6!/6^6$
6 dice are thrown once? 1/6*1/6*1/6*1/6*1/6*1/6 as each outcome is independant and you have 1/6 chance of any dice ob... | 4 | [
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-0.0634765625,
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0.0279541015625,
-0.09130859375... | 15,269 | 15269 | |
[SOLVED] Linear substitution
September 5th 2008, 01:50 AM #1
[SOLVED] Linear substitution
D is the triangle with corners in (0,0), (1,-1) and (3,0).
If we make the substitution: $u=x+y$ and $v=x-2y$ we end up with a triangle E with corners in (0,0), (0,3) and (3,3).
The triangle D is formed by the three... | 4 | [
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-0.126953125,
-0.02001953... | 15,270 | 15270 | |
General degree $d$ surface in $\mathbb{P}^3$
up vote 2 down vote favorite
1
Let $H_{d_1,g_1}, H_{d_2,g_2}$ be two Hilbert schemes of curves in $\mathbb{P}^3$ with degrees $d_1, d_2$ and genus $g_1, g_2$. Denote by $H:=H_{d_1,g_1}\times H_{d_2,g_2}$ where an element in $H$ is
a pair of curves $(C_1, C_2)$ with $C_i \in... | 5 | [
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-0.03125,... | 15,271 | 15271 | |
Ques. F Term SuSy Breaking -Bailin & Love
Yes, that what it does... Also F could not be proportional to a chiral sfield, because F is a scalar one...
However in such a definition of F I gave in my post, there is no way for me to plug in the scalar field φ[3] instead of the chiral sfield Φ[3].
Andrien, I would agree w... | 4 | [
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0.018310546875,
-0.11962890625,
-0.023925... | 15,272 | 15272 | |
Differentiate cosecx
Last edited by nath_quam; June 16th 2006 at 09:51 PM.
What would you like us to do with the attachment? RonL
For part (a) integrate dI and then using your initial value solve for the constant of integration.
Since, $\csc x=\frac{1}{\sin x}$ Then, when you take its derivative apply quotient rule,... | 5 | [
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0.1201171875,
0.0048828125... | 15,273 | 15273 | |
proving an addition identity????
September 25th 2009, 11:59 AM #1
Senior Member
Joined
Sep 2009
Posts
299
Using high school geometry only, show
that sin(A+B) = sinAcosB + sinBcosA
how would i show how one side equals the other side??
consider
in this figure, we have that NOPR is a re... | 4 | [
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0.0267333984375,
... | 15,274 | 15274 | |
some more trig identities
September 4th 2010, 02:57 PM
jayshizwiz
some more trig identities
hi. I think i'm getting the hang of these problems but I still need some assistance:
1) $cos^2x+sinx=1$
$cos^2x+sinx=cos^2x+sin^2x \rightarrow sinx - sin^2x=0 \rightarrow sinx(1-sinx)=0$
$sinx_1 = 0 \rightarr... | 4 | [
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0.0303955078125,
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0.0380859375,
0.0096435546875,
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0.00927734375,
-0.046142578125,
0.... | 15,275 | 15275 | |
Asymptotic Behavior of Solutions to a Vector Integral Equation with Deviating Arguments
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 957696, 7 pages
http://dx.doi.org/10.1155/2013/957696
Research Article
Asymptotic Behavior of Solutions to a Vector Integral Equation with Deviating Arguments
Departame... | 5 | [
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0.01513671875,
0.025634765625,
-0.050048828125,
-0.0098876953... | 15,276 | 15276 | |
GED® Math | Math Lesson 4
Home | Writing | Reading | Social Studies | Math | Science
Lesson 4: Statistics
Lesson Outline:
1. Probability: Getting a “Snapshot”... | 4 | [
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-0.0198974609375,
-0.0230712890... | 15,277 | 15277 | |
What is the basic method for proving the irrationality of a number?
July 20th 2010, 06:47 AM #1
What is the basic method for proving the irrationality of a number?
I know to prove the irrationality of $\sqrt{2}$ we simply minipulate the following:
$(\frac{p}{q})^2 = 2$
until we hit the contradiction of ... | 4 | [
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-0.05078125,
-0.001495361328125,
0.075... | 15,278 | 15278 | |
Identity crisis
January 11th 2010, 06:54 PM #1
Junior Member
Joined
Jan 2010
Posts
43
Heres the problem, Prove the identity. I can't for the life of me to figure it out.
Cosx+sinxtanx = cscx
sinxsecx
$\dfrac{\cos x + \sin x \tan x }{\sin x \sec x}$
$\frac{\cos x + \sin x \cdot \dfr... | 4 | [
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-0.0093994140625,
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0.064453125,
0... | 15,279 | 15279 | |
Math Help
September 15th 2012, 05:54 AM #1
investment
if an investment of $ 25,000 accumulates to P27,500 in 18 months, find the single interest rate?
this is my attempt: 27,000 - 25,000 = 2000 / 18 then the quotient is divided by 25,000. is this possible?
Last edited by rcs; September 15th 2012 at 05... | 4 | [
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0.0400390625,
-0.0791015625,
-0.017211... | 15,280 | 15280 | |
Solutions
269.
Prove that the number
N = 2 ×4 ×6 ×¼×2000 ×2002+ 1 ×3 ×5 ×¼×1999 ×2001
is divisible by 2003.
Solution 1.
We will start with more general observations. Let k be a natural number, A = 2 ×4 ×6 ×¼×... | 5 | [
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-0.0322265625,
... | 15,281 | 15281 | |
Optimization Problem3
April 8th 2007, 07:37 PM #1
Junior Member
Joined
Nov 2006
Posts
59
Optimization Problem3
Rectangle storage container with an open top is to have a volume 10 m^3.
The length of its base is twice the width.
Material for the base costs $10 /m^2.
Material for the sides costs... | 5 | [
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0.038818359375,
0.096679... | 15,282 | 15282 | |
Proof involving expectation of a random variable.
April 25th 2011, 12:25 PM #1
Newbie
Joined
Feb 2011
Posts
21
Proof involving expectation of a random variable.
Hi all,
I had this problem as part of an example in class. I really didn't understand what was happening so I wondered if anybody could enl... | 4 | [
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Quantum General Relativity without Quantum Gravity - a Field Law
P: n/a
When coupling fermions with gravity, the first issues that stand out
are (1) there is no transformation behavior for fermions with respect
to coordinate transformations (i.e., they transform as scalars); (2)
instead, one has a transformation behav... | 4 | [
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... | 15,284 | 15284 | |
Sarah Carratt: Week 6
From OpenWetWare
Instructions
• List the state variables needed to model the process of interest.
• Propose at least one system of differential equations you think will model the dynamics.
• Discuss the terms in your equation(s) in order to justify your choices.
• List all parameters yo... | 4 | [
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Graph theory
How do I show that the k-cube has 2^k vertices and k2^k-1 edges? Any advice? Thanks in advance.
I'm taking my first Graph Theory course now as a undergrad. I may not be the best person to answer this question. However, it's been sitting in the Urgent Homework Help forum for over 24 hours. Even
if I can't ... | 4 | [
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... | 15,286 | 15286 | |
Brevet US2927734 - Computing system for electronic resolver
March 8, 1960 A. w. VANCE 2,927,734
COMPUTING SYSTEM FOR ELECTRONIC RESOLVER Filed Dec. 50, 1954 IN VEN TOR. ARTHUR W VAN r: E
ATT D RN. EY
. 2,927,134 COMPUTING SYSTEM FOR ELEo'rRoNrc RESOLVER Arthur W. Vance, Cranbum'y, N.J., assignor to Radio Corporation... | 4 | [
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0.03710... | 15,287 | 15287 | |
Orbital velocities in the Schwartzschild geometry
kev
For a massless particle such as a photon, ds=0 and I can write the metric as:
[tex]0 = \alpha - \alpha^{-1}\dot{r}^2 - r^2 \dot{\phi}^2[/tex]
and in this case I can use L=0.
...
Note that for a masslesss particle, the over-dot means the derivative with respect ... | 5 | [
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Math Help
October 1st 2006, 08:05 AM #1
Member
Joined
Sep 2006
Posts
75
1!+2!+3!...+99!+100!
What is the remainder when 1!+2!+3!+...+99!+100! is divided by 18?
Again, I have no idea what to do.
At first I didnt know what ! meant so I simply did 101*50.
Now I think its 101!*50, but thats jus... | 4 | [
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Patent US5627718 - Apparatus providing protection and metering in an ac electrical system utilizing a multi-function sampling technique
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to digital protection and metering apparatus for ac electrical systems, and more particularly, to the man... | 4 | [
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Showing the rest energy doesn't depend on velocity.
1. The problem statement, all variables and given/known data
A system of two particles, each with rest masses [itex]m_1[/itex] and [itex]m_2[/itex] have velocities [itex]\vec{u}_1[/itex] and [itex]\vec{u}_2[/itex] in the S frame. Consider another frame, the S'
frame, ... | 4 | [
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Inner Product
December 12th 2008, 12:05 PM #1
Newbie
Joined
Dec 2008
Posts
5
Inner Product
I'd be grateful for any assistance.
V is a finite dimensional vector space over F (where F is R or C).
Let V be a real vector space and let T be a linear operator on V. Prove that if V has a basis consis... | 4 | [
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Evaluation of an Infinite Sum?
November 28th 2006, 10:38 AM
TMFKAN64
Evaluation of an Infinite Sum?
I'm looking to evaluate the infinite sum of 1/(n-f)^2 where n is the index of summation from 1 to infinity and f is a constant between zero and one.
I really have no clue where to start on this. I've seen the... | 4 | [
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A Suzuki Type Fixed-Point Theorem
International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 736063, 9 pages
http://dx.doi.org/10.1155/2011/736063
Research Article
A Suzuki Type Fixed-Point Theorem
Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsih... | 5 | [
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Solve the following ODE .. #3
October 10th 2010, 06:01 AM #1
Member
Joined
Sep 2010
Posts
98
Solve the following ODE .. #3
Problem:
Solve the following equation:
$x^4y'=-x^3y-sec(xy)$
Solution:
Rearrange:
$(x^3y+sec(xy))dx+x^4dy=0$
$sec(xy)+x^3ydx+x^4dy=0$
$sec(xy)+x^3(ydx+x... | 5 | [
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imagionary numbers and proving
January 25th 2006, 01:23 PM #1
Newbie
Joined
Jan 2006
Posts
4
imagionary numbers and proving
This is the problem:
$(1+((1+i)/2)) (1+((1+i)/2)^2) (1+{((1+i)/2)^2}^2)...$$(1+{((1+i)/2)^2}^n)$ = $(1+i)(1-1/{2^2}^n)$
it is given that n must be >=2
I tried to sol... | 5 | [
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Light Intensity rate
January 7th 2006, 12:03 PM
mathletes
Math Questttttttt
An object is moving away from the light source at a rate of 4 units/s. Find the rate of change of the intensity of illumination when it is 2 units from the light source.
yeah, this is my answer:
rate of change = k(1/unit˛xsecond... | 5 | [
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Derivatives of Functions
July 13th 2011, 06:31 AM #1
Newbie
Joined
Jul 2011
Posts
6
Derivatives of Functions
The question is asking to find the derivative of the function:
y=4-7e^-x^9
I am confused because there are so many exponents. It would really help to see the work with the answer.
Re: D... | 5 | [
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Probabilities
January 27th 2007, 10:21 PM
gretchen
Probabilities
If two balls are drawn (without replacement) from an urn that contains four red balls, five green balls and seven white balls. Find the probability that both balls are white.
Possible solutions:
2/3
1/9
7/40
49/240
January 27t... | 4 | [
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