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May
4
comment On the arrangement of digits on a dice
Thanks for the answer. I some how feel that the sum of numbers resulting from independent throws of the dice (or the throw of 2 such dice and summing the value on their face) is biased because the arrangement of numbers follow a pattern and are not random. However, it looks like this is not true.
May
4
accepted On the arrangement of digits on a dice
May
4
awarded  Student
May
4
asked On the arrangement of digits on a dice
Nov
17
comment Is memory unimportant in doing mathematics?
Some problems in Math. heavily rely on observing patterns. I assume that you need good memory to relate patterns and recognize them when you encounter them. You definitely need good memory to get good grades too!
Nov
17
comment Prove $0! = 1$ from first principles
What do you consider as "first principles"?
Nov
8
comment How one should solve $x^2+\frac{81x^2}{(x+9)^2}=40$
The problem text has $81 x^2$ but the title has $9 x^2$ - Please fix.
Nov
8
comment Distances are different by ~100-200m
This site may help you: movable-type.co.uk/scripts/latlong.html
Nov
7
comment Optimizing response times of an ambulance corp: short-term versus average
I did not have a chance to read all what has been posted here but in your final algorithm you must consider the density of trafic at a given time of day in addition to the physical distance. This is accounted for already with tire trucks dispatching systems in some USA cities already. The second point is that you need to take in consideration how critical is the call. Serving a critical call may outweigh balancing the average.
Nov
7
answered $\leq$ operation and logical error
Nov
7
comment Squaring inequality $a>b+c$
Think of 2 squares one with side a and the other with side b+c, you'd immediately see that the area of the of the square with the bigger side is the bigger area.
Nov
6
comment Proof: How many digits does a number have? $\log_{10} n + 1$
I see now, thanks.
Nov
6
comment Proof: How many digits does a number have? $\log_{10} n + 1$
So, given N=8 for example, how many digits would there be in log(8)? Thank you.
Nov
6
comment Try to find an approximation by logarithm function.
I am not able to find an approximation for this form.
Nov
5
comment Speechless mathematical proofs.
In fact, this particular example is not obvious without some words (at least to me)!
Nov
5
comment Try to find an approximation by logarithm function.
Please ignore my comment, I did not see that you have (1/zx). I was viewing this on a tiny pad. This is not linear at all.
Nov
5
comment Try to find an approximation by logarithm function.
If $x, z$ are constants, then what you have is $f(x)=x/K$ where $K$ is constant. This is a straight line and not a log function.
Nov
5
comment Combinatorics: When To Use Different Counting Techniques
I suggest you understand the basics not just memorize end-result formulas. Problems are not usually like give me the permutations of 3 distinct objects.
Nov
5
comment Try to find an approximation by logarithm function.
So, is this a function of x, c and z? of is it just an $f(x)$?
Nov
4
comment Closed Formula Expression for Sum of Combinatorics
@wj32, thanks for your explanation.