... It would seem that someone has done this before. If we let F(n) equal the total not counting mirror images or rotations. we get for n = 1 to 4 the...
EUREKA! A teacher should balance firmness with kindness By Queena Lee-Chua Philippine Daily Inquirer “Kids today are so noisy,” laments Ms Reyes, a high...
... equal the total not counting mirror images or rotations. we get for n = 1 to 4 the following 0,2,4,11, . If we continue for a few more terms maybe some...
Wikipedia defines the composition operator C_\phi(f) as f \circle \phi (Some function f composed with some function phi). I hope it's okay to change some...
QUESTION - Determining Angles Between Orthogonal Planes Two circles exist, they intersect each other so that their midpoints are joined at the center, one...
... If I understand the question correctly the angle between the two points is: arccos(cos(phi1)*cos(phi2)) where phi1 and phi2 are the angles (from the line...
That made sense, I tried this in Excel ; =ACOS(COS(L62)*(COS(L64))) where cell L62 = 100 cell L64 = 269 it returned the value 1.233545102 I used the function...
In a message dated 5/13/2008 23:55:18 PM Central Daylight Time, ... Is 1.233545102 the value at J67? If so, it should be right. The 100 and 269 are both in...
... maybe you can use this way to find the books. the link¡¨http: //mathworld.wolfram.com/topics/ProbabilityandStatistics.html contain correlational...
... degrees. Once I ... By the way, the formula: cos(c) = cos(a)*cos(b) is the "Pythagorean theorem" for a *spherical* right triangle with legs a,b and...
Heres another question about this same thing... hope I explain this ok; We want to take our results but we want to viaully map them in 2D, we want the 2D...
... Sorry, I'm not sure what you're saying here. ... email the boot with the All-new Yahoo! Mail. Click on Options in Mail and switch to New Mail today or...
s(c, n) = c(c+1)/2 mod n + 1, c and n are counting numbers. Find all n such that the range of s(c,n) is the set of all integers from 1 to n inclusive....
... integers ... Nice problem. It appears (computationally) that c(c+1)/2 contains all residues modulo n if and only if n is a power of 2. Here's half of a...
Computationally I reached the same conclusion that you did; powers of 2, but I couldn't prove it for all n. It's pretty easy to prove n can't be odd. With some...
Yes - sorry I didn't phrase things clearly - this is what I meant: For any odd number like n=5 there has to be at least one missing residue and sure enough 2...
... The proof can be done via induction as follows assume that it is true for n/2 then it is true for n T(n) = n(n+1)/2 So every even number is divided by 2 in...
Hi all I have 2 sums here: 1. A motorist travelling at an average speed of 70km/h left Town A at 8am. At 8.30am a motocyclist left Town A for Town B. (a) If...
... powers of ... proved ... I'm having trouble following this. ... Where did you use it?} ... n?} ... to ... different ... mod n How do you know the first n/2...
... at 8am. ... Strategy to use: How far had the motorist travelled before the motocyclist started? At what speed is the motorcyclist gaining on the motorist? ...
... at 8am. ... the motorcyclist up with him if the distance between Town A and town B was 256 2/3km ? ... Sorry about earlier post but you left out "caught"...
Worth buying for what? Are you using statistics, teaching statistics, or learning statistics? I have taught statistics using Minitab, Fathom, Excel, and...