exercise:C2ad1f21c9: 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> Let <math>n</math> be a positive integer, and assume that <math>j</math> is a positive integer not exceeding <math>n/2</math>. Show that in Theorem~, if one alternates the multiplications and divisions, then all of...") |
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Let <math>n</math> be a positive integer, and assume that <math>j</math> is a positive integer not exceeding <math>n/2</math>. Show that in [[guide:E54e650503#thm 3.7 |Theorem]], if one alternates the multiplications and divisions, then all of the intermediate values in | |||
the calculation are integers. Show also that none of these intermediate values exceed the final value. | |||
positive integer not exceeding <math>n/2</math>. Show that in [[guide:E54e650503#thm 3.7 |Theorem | |||
alternates the multiplications and divisions, then all of the intermediate values in | |||
the calculation are integers. Show also that none of these intermediate values exceed | |||
the final value. | |||
Latest revision as of 00:14, 13 June 2024
Let [math]n[/math] be a positive integer, and assume that [math]j[/math] is a positive integer not exceeding [math]n/2[/math]. Show that in Theorem, if one alternates the multiplications and divisions, then all of the intermediate values in the calculation are integers. Show also that none of these intermediate values exceed the final value.