matching the steps اختیار [It follows that -a = (-q)d-r =(-q-1)d+(d-r).%3DIf d I a, then a = md for someinteger m, and it follows that -a =(-m)d as well.Note that 0 < d-r < d, so by definition(-a) div d = -q-1. But -(a div d) =-q,Conversely, if d does not divide a,O then a = qd + r for some r with 0 Show that if a and d are positiveintegers, then (-a) div d = -a div d if.and only if d divides aReorder the following steps (FromStep 01 to step 06) to proof the? above statementاختیارStep 01اختیار[Step 02اختیار [Step 03اختیارStep 04اختیارStep 05Step 06اختیار [

Answered: matching the steps

Engineering

Computer Science

matching the steps

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

matching the steps

اختیار [
It follows that -a = (-q)d-r =
(-q-1)d+(d-r).
%3D
If d I a, then a = md for some
integer m, and it follows that -a =
(-m)d as well.
Note that 0 < d-r < d, so by definition
(-a) div d = -q-1. But -(a div d) =
-q,
Conversely, if d does not divide a,
O then a = qd + r for some r with 0 <r <
d. Here q = a div d.
%3D
Therefore, -(a div d) = -m and (-a)
div d = -m, as desired.
%3D
so (-a) div d = -(a div d).

Show that if a and d are positive
integers, then (-a) div d = -a div d if
.and only if d divides a
Reorder the following steps (From
Step 01 to step 06) to proof the
? above statement
اختیار
Step 01
اختیار[
Step 02
اختیار [
Step 03
اختیار
Step 04
اختیار
Step 05
Step 06
اختیار [

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