...al cases to terminate the recursion, but I think our operator is quite fully defined, for k as any integer, positive or negative, and m, n as any positive integers.
Formally, it's neat th...
Suppose X is a positive integer, and R a positive real number.
If ROUND(XR) = M, and integer then XR - M <= 0.5 or X - M/R <= 0.5/R ...(1)
ROUND(ROUND(X*R)/R) = N say, an integer. then M...
Anomaly
by imported_Adrian
Sure it can. 1/4 = 1/4. The problem is in the next step, where the 'positive square root' of 1/4 is given as -1/2.
...h that H_2H_3 is an altitude of triangle AH_1H_2.
Etc.
a) Find the length of AH_(2n-1) where n is a positive integer.
b) Find the length of AH_(2n) where n is a positive integer
Have f...
Hi,
Take 5 random, sequential, base 10, positive integers below 10,000.
What is the probability that they do not form part of a known sequence which can be generated by any sensible means.
...
Okay, this idea is a work in progress.
Let n be some positive integer. (The best n is unknown to me.) Each player gets one of two identical pieces of n-by-n graph/tracing-paper. (The top of each p...
Okay, here's some mostly positive feedback!
First of all, I loved the FEEL of these puzzles. The objects and situations described in them were really fun to read!
Lately, there have been ...
...here are a finite number of words which have a currently acknowledged meaning.
Thus, for eanch strictly positive integer n, there are a finite number of questions consisting of n words.
The un...
...log_10(2) is based on the ranges all being of the form [1..n], where n is a 'random' fairly large positive integer.
In practice, some of the sample spaces involved might not begin with 1...
...lest integer such that 2^c >= n!. Can we always find a way to sort n numbers with c comparisons, for any positive n? Do any of the standard n log(n) optimal sorts (heap sort, merge sort) do this? I...
... Unfortunately, that was 50 years ago. I seem to recall the use of Norton's theorem to solve. Inject a positive current, calculate the drop across two resistors, then inject a negative current, c...
'Divisor Nim' is a game similar to Nim. The game is played between two people. Several positive integers (e.g., 1 through N) are written on a piece of paper. The two players take turns selec...
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