exercise:Bc75f812c0: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Using the result of Exercise Exercise, make a conjecture for the form of the fundamental matrix if the process moves as in that exercise, except that it now moves on the integers from 1 to <math>n</math>. Test your conj...") |
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\newcommand{\mathds}{\mathbb}</math></div> Using the result of | \newcommand{\mathds}{\mathbb}</math></div> Using the result of [[exercise:Fd190e1214 |Exercise]], make a conjecture for the form of the fundamental matrix if the process moves as in that exercise, except that it now moves on the integers from 1 to <math>n</math>. Test your conjecture for several different values of <math>n</math>. Can you conjecture an estimate for the expected number of steps to reach state <math>n</math>, for large <math>n</math>? (See [[exercise:0605c203bb|Exercise]] for a method of determining this expected number of steps.) | ||
conjecture for the form of the fundamental matrix if the process moves as in | |||
that | |||
exercise, except that it now moves on the integers from 1 to <math>n</math>. Test your | |||
conjecture for several different values of <math>n</math>. Can you conjecture an estimate | |||
for the expected number of steps to reach state <math>n</math>, for large <math>n</math>? (See | |||
Exercise | |||
of | |||
steps.) | |||
Latest revision as of 23:12, 15 June 2024
[math]
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Using the result of Exercise, make a conjecture for the form of the fundamental matrix if the process moves as in that exercise, except that it now moves on the integers from 1 to [math]n[/math]. Test your conjecture for several different values of [math]n[/math]. Can you conjecture an estimate for the expected number of steps to reach state [math]n[/math], for large [math]n[/math]? (See Exercise for a method of determining this expected number of steps.)