Recent content by smslca

It's a downward force.

A rough sketch of experiment. the red dots represent a side view of path traveled, F is downward force and the tool used here is a pen placing parallel to the coinHi. I have newly started to study mechanical physics. based on study, I conduct a simple experiment. But unfortunately i am unable...

In wikipedia source: http://en.wikipedia.org/wiki/Quadratic_residue under "composite modulus" section I found the line "On the other hand, if we want to know if there is a solution for x less than some given limit c, this problem is NP-complete;however, this is a fixed-parameter tractable...

sorry i messed it up, please help me to delete the post

for a given range of x in Zn , and n is composite , and ax² + bx + c ≡ 0(mod n) and if (4a,n)=1, I learned that we can solve the congruence by (2ax + b)² ≡ b²-4ac (mod n) ==> y² ≡ z (mod n) So, if n is composite, Sometimes I see, modulo 4an, when do we take 4an and n , how can we...

with the help of a friend i figured out that, if m is the divisor of n, it won't be possible to get a solution . But what about the other values?

If given a 'n' value and m = floor ( squareroot(n) ) then is there any way to find the value of 'y' , such that ((m*y) mod n) is congruent to (n-1)

if f(x)modg(x) is valid(means , if it yield a remainder) then , can there be negative powers of x in f(x)? for example is (x-29)mod(x2 - 3) possible ? can we do modulo division like this or is it strictly defined only for positive powers of x?

I like to know what is best known efficient algorithm to calculate f(x)modg(x) , in which the degrees of f(x) and g(x) are very very very large , and degree of f(x) >> degree of g(x).

sum of two squares? If an Even number could be expressed in the form a2 + b2 . And if there exits two other numbers m,n such that a2 + b2 = m2 + n2 then , my question is is there any relation between (a,b) and (m,n) apart from a2 + b2 = m2 + n2 ??

can we find the value of gcd(x c y , z) easily and very fast using a computer. where 1. "c" represents "combinations" used in 'permutations and combinations'. 2. x is very very large number (ex: may be of 100 or 1000 numerical digits) 3. y is also large having 2 to 5 digits less than x...

thanks it helps me somewhat

I am working with devcpp, and have written a c program. After I had compiled it and make it to run, I got these symbols at some places (i.e for some values of input) . I want to know what are they and what do they represent. symbols: -1.#IND00000000 -1.#QNAN0

I said y = √(a + x2) - x is the solution for ( dy / dx ) + ( y / ( sqrt(a+(x^2)) ) ) = 0 not for ∫ dx/√(a + x2)

If y = f(x) , and ( dy / dx ) + ( y / ( sqrt(a+(x^2)) ) ) = 0 I knew its solution is y = { sqrt(a+(x^2)) - x } , where a is a constant can anyone give the proof , by solving the differntial equation. Are there any other solutions for the above given differential equation. I asked this...