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Commit 6eb41707 authored by Goik Martin's avatar Goik Martin
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Adding graphic explanation

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Doc/Sd1/Ref/Statements/phythagorean.svg 0 → 100644
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Doc/Sd1/statements.xml
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......@@ -2691,9 +2691,18 @@ import java.util.Random;
<qandadiv>
<qandaentry>
<question>
<para>Read the <link
xlink:href="https://en.wikipedia.org/wiki/Pythagorean_triple">definition
of Pythagorean triples</link>.</para>
<para><link
xlink:href="https://en.wikipedia.org/wiki/Pythagorean_triple">Pythagorean
triples</link> are integer combinations of three values being
related by the <link
xlink:href="https://en.wikipedia.org/wiki/Pythagorean_theorem">Pythagorean
theorem</link>:</para>
<mediaobject>
<imageobject>
<imagedata fileref="Ref/Statements/phythagorean.svg"/>
</imageobject>
</mediaobject>
<para>Find all <link
xlink:href="https://en.wikipedia.org/wiki/Pythagorean_triple">Pythagorean
......@@ -2741,8 +2750,7 @@ import java.util.Random;
</inlineequation>.</para>
<tip>
<para>Think of writing a program which creates all possible
triples <inlineequation>
<para>Think of creating all possible triples <inlineequation>
<m:math display="inline">
<m:mrow>
<m:mo>(</m:mo>
......@@ -2807,7 +2815,8 @@ import java.util.Random;
</tr>
</informaltable>
<para>Why does the value 998 appear here?</para>
<para>Why does a value of 838 rather then 840 appears
here?</para>
<para>This list mostly contains values like <inlineequation>
<m:math display="inline">
......@@ -2819,60 +2828,68 @@ import java.util.Random;
<m:mo>,</m:mo>
<m:mn>4</m:mn>
<m:mn>3</m:mn>
<m:mo>,</m:mo>
<m:mn>3</m:mn>
<m:mn>4</m:mn>
</m:mrow>
<m:mo>)</m:mo>
</m:mrow>
</m:math>
</inlineequation> failing to obey our restriction
</inlineequation> failing both our restrictions
<inlineequation>
<m:math display="inline">
<m:mrow>
<m:mrow>
<m:mn>1</m:mn>
<m:mo>+</m:mo>
<m:msup>
<m:mn>1</m:mn>
<m:mn>4</m:mn>
<m:mn>2</m:mn>
</m:msup>
<m:mo>+</m:mo>
<m:mn>3</m:mn>
<m:msup>
<m:mn>3</m:mn>
<m:mn>2</m:mn>
</m:msup>
</m:mrow>
<m:mo>≠</m:mo>
<m:mi>840</m:mi>
<m:msup>
<m:mn>4</m:mn>
<m:mn>2</m:mn>
</m:msup>
</m:mrow>
</m:math>
</inlineequation>. These triples have thus to be filtered
retaining only the desired combinations simultaneously obeying
both <inlineequation>
</inlineequation> and <inlineequation>
<m:math display="inline">
<m:mrow>
<m:mrow>
<m:mi>a</m:mi>
<m:mn>1</m:mn>
<m:mo>+</m:mo>
<m:mi>b</m:mi>
<m:mn>3</m:mn>
<m:mo>+</m:mo>
<m:mi>c</m:mi>
<m:mn>4</m:mn>
</m:mrow>
<m:mo>=</m:mo>
<m:mo>≠</m:mo>
<m:mi>840</m:mi>
</m:mrow>
</m:math>
</inlineequation> and <inlineequation>
</inlineequation>. These triples have thus to be filtered
retaining only the desired combinations simultaneously obeying
both <inlineequation>
<m:math display="inline">
<m:mrow>
<m:mrow>
......@@ -2900,6 +2917,26 @@ import java.util.Random;
</m:msup>
</m:mrow>
</m:math>
</inlineequation> and <inlineequation>
<m:math display="inline">
<m:mrow>
<m:mrow>
<m:mi>a</m:mi>
<m:mo>+</m:mo>
<m:mi>b</m:mi>
<m:mo>+</m:mo>
<m:mi>c</m:mi>
</m:mrow>
<m:mo>=</m:mo>
<m:mi>840</m:mi>
</m:mrow>
</m:math>
</inlineequation>. This might be accomplished by
implementing three nested loops:</para>
......
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