Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Active Tutors
Asked Questions
Answered Questions
if we wish to store s entries using a hash function whose output has m bits how many collisions should we expect to
1 what evidence does a correct casting-out-nines match give in favour of the hypothesis that the addition has been done
what is the shortest the address on a typical international letter could be if it is to get to a unique human recipient
show that low-density generator-matrix codes are bad a family of low-density generator-matrix codes is defined by two
how do redundant arrays of independent disks raid work these are information storage systems consisting of about ten
investigate the possibility of achieving the shannon limit with linear block codes using the following counting
estimate how many binary low-density parity-check codes have self-orthogonal duals note that we dont expect a huge
linear binary codes use the input symbols 0 and 1 with equal probability implicitly treating the channel as a symmetric
consider the source as a b c d e ps 13 13 19 19 19 and the channel whose transition probability matrix isnote that
let x be an ensemble with ax 0 1 and px 0995 0005 consider source coding using the block coding of x100 where every x
let x be an ensemble with px 01 02 03 04 the ensemble is encoded using the symbol code c 0001 001 01 1 consider the
find the capacity and optimal input distribution for the three-input three-output channel whose transition
the input to a channel q is a word of 8 bits the output is also a word of 8 bits each time it is used the channel flips
find the minimum distance of the lsquopentagonful low density parity-check code whose parity-check matrix isshow that
similarly enumerate all strings of length 8 that end in the zero state there are 34 of them hence show that we can map
describe the asymptotic properties of the probabilities depicted in figure 1611a for a grid in a triangle of width and
a channel with input x and output y has transition probability matrixassuming an input distribution of the formwrite
see if you can prove that k-means always converges hint find a physical analogy and an associated lyapunov function a
given that dna replication is achieved by bumbling brownian motion and ordinary thermodynamics in a biochemical
while the genome acquires information through natural selection at a rate of a few bits per generation your brain
make a version of the k-means algorithm that models the data as a mixture of k arbitrary gaussians ie gaussians that
imagine fitting a mixture of ten gaussians to data in a twenty-dimensional space estimate the computational cost of
investigate how fast sexual and asexual species evolve if they have a fitness function with interactions for example
dependence on crossover mechanism in the simple model of sex each bit is taken at random from one of the two parents
dependence on population size how do the results for a sexual population depend on the population size we anticipate