How can you compute to 14 digits of accuracy within the domain ?
In this post, we’ll explore a scenario where the non-
commutativityassociativity of floating point arithmetic can lead us into trouble.
Let and . Write a computer program to compute this sum.
Use the method of characteristics to solve the PDE system
Suppose you have integers a,b that are relatively prime to m such that
Let , where k is an integer. Prove that for any positive integer n the number
is divisible by .
Define the sequence recursively by and
Find an explicit formula for in terms of n.
Let be defined by the recurrence relation , with . Show that the expression depends only on b and , but not on a.
Find the general term of the sequence given by , and
Let . Show that for any positive integers there exists unique numbers such that the polynomial is divisible by p(x)