Hi everyone! I want to know how Laplace has found the probability of "sunrise probability" Suppose that in a random card string,we choose a card.and it came...
Interesting slant.... In that case, if 5 men can build 5 houses in a week, then 4 mwn will build (or complete) no houses in a week. ... notebooks...
6946
slim_the_dude
Nov 3, 2003 3:08 pm
... <nick_hobson@y...> ... multiple ... cannot ... occurs ... or ... Nice proof, but I have just one question about it. I don't understand the step where you...
6948
clooneman
Nov 3, 2003 5:58 pm
"By the top equation, m = 1 (mod 3)", you say. Which is the "top" equation? And then, how? ... multiple ... cannot ... occurs ... or...
6949
video_ranger
Nov 3, 2003 6:43 pm
Good point. I did indeed mean "3n^2 + 3n + 1 = m^2", but you're right. The first three examples of m (turned up by computer search) are 13,181,2521 which are...
6950
clooneman
Nov 3, 2003 6:59 pm
Welllllllllllll, if we presume that each man is a builder, nothing more, and that each house gets "built" (recast your own definition), nothing more, then 5...
6951
bqllpd
Nov 4, 2003 12:24 am
This is something I worked out just about an hour ago and relates to what I've recently been posting about this transform I found and how it might reveal a...
6953
bqllpd
Nov 4, 2003 8:37 pm
... each ... This morning I figured the sum of the roots only depends on the first and second coefficients of the polynomial. Didn't know how to express the...
6954
bqllpd
Nov 4, 2003 9:20 pm
Here's something I saw on a site. Apperently p_n = 1 + sum[m=1, 2^n],floor|(n^(1/n))*(sum[x=1,m],floor|cos^2(pi)* ((x-1)!+1)/x|)^(-1/n)| where p_n is the nth...
6955
bqllpd
Nov 7, 2003 3:41 am
"Robert Jackson suggests that if you've completed a difference table and still don't understand the sequence, you should turn the paper through an angle of 60...
6956
clooneman
Nov 7, 2003 6:43 pm
In fact, Michael Jackson was so impressed with his namesake's efforts that he applied this transformation to his face, and see how it has changed over the...
6957
a_corbit
Nov 7, 2003 7:02 pm
Hello All, I am putting a drawing on the pictures page of an object I need some answers on. It is a beam of sorts with 300 lbs weight on each end of it and it...
6958
gflom
CalcuNation
Nov 7, 2003 7:50 pm
Art , Could you define what you mean by how much heavier means ? Your torque is correct . If I understand the question , and if the weight of the shaft is W , ...
6960
neotitecs
Nov 12, 2003 8:06 pm
Hi Theorem:if F(x) is continuous at a,then P(x=a)=0, if F(x) is not continuous at a then P(x=a) is the hight of the jump of F(x) at a if a<b then (1)...
6963
neotitecs
Nov 14, 2003 8:16 pm
Hi Theorem:The cumilative distribution function or briefly the distribution function,for a random variable X is defined by F(x)=P(X=<x) where x is any real...
6965
Nick_Hobson
Nov 15, 2003 8:41 pm
A triangle has internal angles A, B, and C, none of which exceeds a right angle. Show that sin A + sin B + sin C > 2 cos A + cos B + cos C > 1 tan (A/2) + tan...
6966
slim_the_dude
Nov 16, 2003 6:31 pm
Intuitively, this would seem to be provable. But consider the following counterexample: Let X be a random negative integer. Let the experiement be done in...
6967
neotitecs
Nov 16, 2003 6:36 pm
Hi Prove the following function are cumilative distribution function (a) 1/2+1/pi tan^-1(x) , xE(negative infinite,positive infinite) (b) 1-e^-x ,...
6968
neotitecs
Nov 16, 2003 6:38 pm
Hi Prove the following function are cumilative distribution function (a) 1/2+1/pi tan^-1(x) , xE(negative infinite,positive infinite) (b) 1-e^-x ,...
6969
clooneman
Nov 17, 2003 1:43 pm
F(x) is condescending for all x. ... infinite...
6970
clooneman
Nov 17, 2003 6:52 pm
I'm just mulling this over in my head, and I'm nearly sure that you could use differentiation to evaluate the maximum value of sin A + sin B + sin C, a problem...
6971
jason1990
Nov 18, 2003 4:48 pm
... The portion of ABC-space in which 0 <= A,B,C <= pi/2 and A+B+C=pi is the portion of the plane A+B+C=pi bounded by the lines A+B=pi/2,C=pi/2 A+C=pi/2,B=pi/2...
6972
jason1990
Nov 18, 2003 4:53 pm
... Let ... perform ... Actually, you just proved it. These properties of cdf's can, for the most part, be taken as axioms, so this shows you can't have such a...
6973
jason1990
Nov 18, 2003 4:58 pm
These follow from the corresponding properties of a probability measure: (1) P is nonnegative and additive, (2) P is continuous from above, (3) P(empty set) =...
6974
gflom
CalcuNation
Nov 19, 2003 6:28 am
Jason Would we not have to apply partial differentiation on our functions to use the method of Lagrange ? Gary ... From: jason1990 To:...
6975
clooneman
Nov 19, 2003 1:17 pm
If A, B and C are the internal angles of a triangle, are there any formulae, etc governing the relationship between sin A, cos B and cos C? ... a ... is ... A ...
6976
gflom
CalcuNation
Nov 19, 2003 3:55 pm
Probably the easiest to remember and use is : Law of Sines sin A / a = sin B / b = sin C / c where the small case letters are the lengths of the sides opposite...
6977
jason1990
Nov 19, 2003 5:13 pm
... functions to use the method of Lagrange ? Of course. I just omitted it because it's so easy. In fact, it's so easy, I screwed it up! :) There is one...
6978
clooneman
Nov 19, 2003 5:38 pm
Yes, indeed, thank you. But are there any formulae, etc governing the relationship between sin A, cos B and cos C? (as spposed to sin A, sin B and sin C; or...
