In a message dated 7/31/2006 11:05:11 PM Central Standard Time, ... What are these directions 045 and 300? Degrees, using a 360-degree circle with 0=360 as...
... circle ... That's what I would assume. Known as True Bearing. 045 is North East and 300 is West, 30 degrees North or 30 degrees North of West. Peter...
... the ... Here's my detailed solution to this: Let the two numbers be x and y, defined so that y>=x Let S=x+y Let P=x*y Define: T = the set of all integers...
Oh sorry, I just realized that I have A and B reversed. Please read my solution with the understanding that A was the first guy (who knows the product) and B...
... I admit to this reply before reding the rest of the post [which I will do shortly. The numbers here that are not the product of two primes, are the third ...
... Nice (and correct) solution, as usual. :) There's a cute geometric argument as well. Think of four rods (labeled e1...e4) connected by universal joints,...
Some of you may recall a standardized testing flap that occurred many years ago. The question had been: Let P1 be a regular tetrahedron with unit edges, and...
Back in my college days I was coauthor on a paper which essentially posed the following problem: Given K keys and B "buckets", what is the minimal number of ...
Sounds interesting. Could you restate the problem so that someone with no math training can understand it? regards, Brian ... From: mathforfun@yahoogroups.com...
Well, I think that the "application" I give at the end is probably the best explanation, but here's an example... Suppose I have 9 key values and 3 buckets...
Tough one. What are the first 5 digits of the googol-th prime? That is, what are the first 5 digit of the (10^100)-th prime? For example, the (10^18)-th or the...
In a message dated 8/10/2006 6:20:50 AM Central Standard Time, ... I've no idea. Even computing how many digits it has altogether is beyond my reach at the...
... are the ... Using Guass' formula, as x --> infinity, lim((pi(x))/(x/ln(x))) = 1 and iterative techniques, I get 23572. There are 103 digits. pi(x) is the...
Hi John, Good try. ... 103 is correct The 23 is correct compared to my new algorithm primex(n) ... The algorithm I use and call primex(n) gives (actual is...
Revisiting a problem I decided was hopeless in middle school: given the track of the fron wheel of a bicycle, determine the track of the back wheel. I had...
Is speed assumed to be held constant? Based on a few minutes' experimentation with my daughter's bike (which, having training wheels, may not be the best test...
In this abstract model, the mass does not matter. Thus there is no momentum, and speed and path are independent. <tongue-in-cheek> I would hope the Cartesian...
These are coupled ordinary differential equations - not partial differential equation(s). As a vector equation: dS/dt = (dR/dt . u) u where R(t) and S(t) are...
... (x,y) if ... 16^x-16^y=(4^x)^2-(4^y)^2 192=(4^x+4^y)X(4^X-4^Y) 192=(4^x+4^y)X8 i.e.,(4^x+4^y)=192/8 i.e., =24 now we have 4^x+4^y=24 & 4^x-4^y=8 ...
Hi John, ... I uploaded some files to the mathforfun files section. Primex is there in 3 flavors. The executables should run from the yahoo files section. The...
If both front and back wheels are "straight", their tracks are identical. If the handlebars are turned 90 deg, the back wheel will not turn while the front...
... Is this bicycle being wheeled along with the frame held vertically or actually ridden with the associated leaning. When you lean, you cannot achieve a 90...
In a message dated 8/14/2006 6:25:17 PM Central Standard Time, ... Sure you can. My son does it all the time. Even 180 degree turns. stevo [Non-text portions...
If each letter represents a different number, and 4 (BOYMAD) = 9 (MADBOY), find the six digit number MADBOY. I've always hated these types of problems. I do...
In a message dated 8/15/2006 9:01:24 AM Central Standard Time, ... Are these using implied multiplication, so that they mean: 4*BOYMAD = 9*MADBOY? stevo ...
The easiest way I can come up with is to disregard the individual digits and solve for the 3-digit numbers MAD and BOY: BOYMAD = 1000(BOY) + MAD and MADBOY =...
In a message dated 8/15/2006 12:11:22 PM Central Standard Time, ... I had the same idea, but did the arithmetic wrong. :-( stevo [Non-text portions of this...
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