Math Forum / Mathematics / Undergraduate Math / June 2007

Here is my problem. E an element of set {0,1}. A, B are two events
(which can occur simultaniously) and probability of E=0 when A occured
is
                  P(E=0 | A)=(1/x)

i am an undergrad trying to understand buchstaber and panov's construction of connected sum in their paper : "Torus Actions and Their Applications in Topology and Combinatorics" . As a resource refer to Buchstaber and Ray's paper in the arXiv:
http://arxiv.org/pdf/math/0010025 ...

I can't seem to get to the result
       PQ = sqrt( [cos(s-t) - 1]^2 + [sin(s-t) - 0]^2 )   EQ.2
from
       PQ = sqrt( 2-2cos(s)cos(t) - 2sin(s)sin(t) )       EQ.1

I have an engineering text (Fluid Mechanics by White) that is using a
lower case delta symbol in a way I haven't seen before.
For example, when talking about shear it says that
(tau) = (delta)(theta)/(delta)t

1)Determinate the range of f(x)= (1/2)^((x^2)-1)
2)Consider the real variable function
  g(x) = log(2) ((9x^2)-6x+1)
   2.1) Determinate its range.

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as being "undraped". In Western countries, there is generally no

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A Course in Algebraic Number Theory by Henry Cohen
A Course in Game Theory by Martin J. Osborne and Ariel Rubinstein
A First Course In Probability 7th Ed by Sheldon Ross

1) Solve the following equation:
Module of [sin x + sqrt 3*cos x] minor or equal than 1  
2) Consider f and g defined in R by
f(x) = e^(x-1) ; g(x) = sin x

Dear Group,
Could someone help with this stupidly simple thing.
Imagine you have a grocery shop, and you want 100 oranges to be
delivered every week, with minimum variance. You can choose between

The tetrahedron based coordinate system from Synergetics generalizes to
any number of dimensions easily.
Almost everyone who has written anything about this says vectors from
the origin of the coordinate system in the directions of the

Suppose that each side of an equilateral triangle can be partitioned into n partitions, all of which have equal length. From this, you are able to create n^2 equilateral triangles. How many of these triangles are DOWNWARD pointing?
For example, suppose we have 1 triangle, then
y(1) ...

Can someone work out the steps in solving this problem?
I think it's basically a simplification problem.
here it is:
3/5 [sin^-1  1  --  tan^-1 (-1)]

I have six numbers that I want to encrypt into one single larger number.
The 6 numbers may be presented as ff:
number  Range
num1   [0-9999.99]

Proposition 2: If p is an odd perfect number, then, p + 2 is an abundant number.
¿Can you obtain a proof of that?
Greetings.

Please give me a very short solution and impressive solution for this
equation.
2sec ^2 A - cos ^2 A - tan A ( 1 + sin A + sec A ) = 0
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