4,149 reputation
41336
bio website
location
age
visits member for 3 years, 5 months
seen Nov 24 at 14:24

Mar
16
asked On last digit of 4 consecutive primes less than 10 apart
Mar
16
revised On proving $n = \sum_{d\mid n}\varphi(d)$
deleted 2 characters in body
Mar
16
comment On proving $n = \sum_{d\mid n}\varphi(d)$
@GregMartin: I suppose that the proof I wrote above closely parallels the one you mention, but somehow I find it more natural and useful to partition the set of integers $\{1,\dots,n\}$ than to partition the set of fractions $\{\frac{1}{n},\dots,\frac{n}{n}\}$, even though both procedures are basically equivalent.
Mar
16
revised On proving $n = \sum_{d\mid n}\varphi(d)$
added 29 characters in body
Mar
16
revised On proving $n = \sum_{d\mid n}\varphi(d)$
added 29 characters in body
Mar
16
revised On proving $n = \sum_{d\mid n}\varphi(d)$
added 7 characters in body
Mar
16
revised On proving $n = \sum_{d\mid n}\varphi(d)$
added 493 characters in body
Mar
16
revised On proving $n = \sum_{d\mid n}\varphi(d)$
added 493 characters in body
Mar
16
revised On proving $n = \sum_{d\mid n}\varphi(d)$
deleted 29 characters in body
Mar
16
asked On proving $n = \sum_{d\mid n}\varphi(d)$
Mar
14
revised Expectation expression
added 51 characters in body
Mar
14
revised Expectation expression
deleted 10 characters in body
Mar
14
answered Expectation expression
Mar
14
revised How to convert the ln part of this equation to log10?
added 27 characters in body
Mar
14
revised How to convert the ln part of this equation to log10?
added 27 characters in body
Mar
14
revised Why is $H_1 \le G \land H_2 \le G$ necessary in $a(H_1 \cap H_2) = aH_1 \cap aH_2$?
added 97 characters in body
Mar
14
comment How to convert the ln part of this equation to log10?
Yes, the equation should be as you have it, although I'd go ahead and multiply together the two constants you have there ($3101.420903$ and $2.302585093$). Also, the problem of getting $y$ when $x = n$, does not require converting to $\log_{10}$. All you need is to have an actual numeric (as opposed to symbolic) value for $x$, and then you just replace $x$ in the original equation with this actual value, take its natural logarithm, and off you go.
Mar
14
revised How to convert the ln part of this equation to log10?
added 17 characters in body
Mar
14
answered How to convert the ln part of this equation to log10?
Mar
14
revised Why is $H_1 \le G \land H_2 \le G$ necessary in $a(H_1 \cap H_2) = aH_1 \cap aH_2$?
added 113 characters in body