- into a
random order static void shuffle(
int* a,
int size); void bogo_sort(
int* a,
int size) {
while (!is_sorted(a, size)) { shuffle(a, size); } }
int is_sorted(int*...
- \operatorname {E} [X]\equiv \
int _{\Omega }X\,d\operatorname {P} =\
int _{\mathbb {R} }xf(x)\,dx} for any
absolutely continuous random variable X. The
above discussion...
-
mathematical physics, a
random matrix is a matrix-valued
random variable—that is, a
matrix in
which some or all of its
entries are
sampled randomly from a probability...
- \left(X>0,Y>0\right)=\
int _{0}^{\infty }\
int _{0}^{\infty }f_{X,Y}(x,y)\,dx\,dy.} If the
probability density function of a
random variable (or vector)...
-
random variables having two
other known distributions.
Given two
statistically independent random variables X and Y, the
distribution of the
random variable...
- from 1 to 52 j := i +
randomInt(53 - i) - 1 a.swapEntries(i, j)
where a is an
array object, the
function randomInt(x)
chooses a
random integer between 1 and...
-
variance is the
expected value of the
squared deviation from the mean of a
random variable. The
standard deviation (SD) is
obtained as the
square root of...
- secure. As of
version 8.1, the
random_
int()
function is included,
which uses a
cryptographically secure source of
randomness provided by the system. There...
- }}\
int _{\alpha }^{1}q_{p}(X)dp\\&={\frac {1}{(1-\alpha )}}\
int _{\alpha }^{1}{\frac {-\ln(1-p)}{\lambda }}dp\\&={\frac {-1}{\lambda (1-\alpha )}}\
int _{1-\alpha...
- \
int _{B}X\,dP=E(X1_{B})=E(X)E(1_{B})=E(X)P(B)=\
int _{B}E(X)\,dP.} Thus the
definition of
conditional expectation is
satisfied by the
constant random variable...
