식 단순화

simplify 키워드는 대수, 삼각 및 지수 함수 항등식을 사용하여 식을 단순화하고 제곱근과 거듭곱을 단순화합니다.

<region id="ID0E6M4LB" top="38.400000000000006" left="38.400000000000006" height="39.2" width="343.5" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="15">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <plus />
        <apply>
          <minus />
          <apply>
            <plus />
            <apply>
              <pow />
              <parens>
                <apply>
                  <minus />
                  <id xml:space="preserve">x</id>
                  <real>3</real>
                </apply>
              </parens>
              <real>2</real>
            </apply>
            <apply>
              <scale />
              <real>4</real>
              <apply>
                <pow />
                <id xml:space="preserve">x</id>
                <real>2</real>
              </apply>
            </apply>
          </apply>
          <apply>
            <scale />
            <real>2</real>
            <id xml:space="preserve">x</id>
          </apply>
        </apply>
        <real>1</real>
      </apply>
      <command>
        <id xml:space="preserve">simplify</id>
      </command>
      <symResult>
        <apply>
          <plus />
          <apply>
            <minus />
            <apply>
              <mult />
              <real>5</real>
              <apply>
                <pow />
                <id xml:space="preserve" labels="*">x</id>
                <real>2</real>
              </apply>
            </apply>
            <apply>
              <mult />
              <real>8</real>
              <id xml:space="preserve" labels="*">x</id>
            </apply>
          </apply>
          <real>10</real>
        </apply>
      </symResult>
    </symEval>
  </math>
</region>

<region id="ID0EPN4LB" top="96.000000000000014" left="38.400000000000006" height="39.2" width="262.55" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="17">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <pow />
            <id xml:space="preserve">x</id>
            <real>2</real>
          </apply>
          <apply>
            <scale />
            <real>7</real>
            <id xml:space="preserve">x</id>
          </apply>
        </apply>
        <real>10</real>
      </apply>
      <command>
        <id xml:space="preserve">simplify</id>
      </command>
      <symResult>
        <apply>
          <mult />
          <parens>
            <apply>
              <plus />
              <id xml:space="preserve" labels="*">x</id>
              <real>2</real>
            </apply>
          </parens>
          <parens>
            <apply>
              <plus />
              <id xml:space="preserve" labels="*">x</id>
              <real>5</real>
            </apply>
          </parens>
        </apply>
      </symResult>
    </symEval>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

<region id="ID0E6N4LB" top="153.60000000000002" left="38.400000000000006" height="39.2" width="220.25333333333336" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="19">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <scale />
        <parens>
          <apply>
            <plus />
            <id xml:space="preserve">a</id>
            <id xml:space="preserve">b</id>
          </apply>
        </parens>
        <parens>
          <apply>
            <minus />
            <id xml:space="preserve">a</id>
            <id xml:space="preserve">b</id>
          </apply>
        </parens>
      </apply>
      <command>
        <id xml:space="preserve">simplify</id>
      </command>
      <symResult>
        <apply>
          <minus />
          <apply>
            <pow />
            <id xml:space="preserve" labels="*">a</id>
            <real>2</real>
          </apply>
          <apply>
            <pow />
            <id xml:space="preserve" labels="*">b</id>
            <real>2</real>
          </apply>
        </apply>
      </symResult>
    </symEval>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

<region id="ID0E6O4LB" top="268.80000000000007" left="38.400000000000006" height="39.2" width="253.43666666666672" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="23">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <mult />
        <apply>
          <mult />
          <real>2</real>
          <apply>
            <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">sin</id>
            <id xml:space="preserve">x</id>
          </apply>
        </apply>
        <apply>
          <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">cos</id>
          <id xml:space="preserve">x</id>
        </apply>
      </apply>
      <command>
        <id xml:space="preserve">simplify</id>
      </command>
      <symResult>
        <apply>
          <id xml:space="preserve" labels="FUNCTION">sin</id>
          <apply>
            <mult />
            <real>2</real>
            <id xml:space="preserve" labels="*">x</id>
          </apply>
        </apply>
      </symResult>
    </symEval>
  </math>
</region>

<region id="ID0EPP4LB" top="326.40000000000003" left="38.400000000000006" height="39.2" width="189.25000000000003" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="25">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <mult />
        <apply>
          <pow />
          <id xml:space="preserve" labels="CONSTANT" label-is-contextual="true">e</id>
          <apply>
            <scale />
            <real>2</real>
            <id xml:space="preserve">x</id>
          </apply>
        </apply>
        <apply>
          <pow />
          <id xml:space="preserve" labels="CONSTANT" label-is-contextual="true">e</id>
          <apply>
            <scale />
            <real>5</real>
            <id xml:space="preserve">y</id>
          </apply>
        </apply>
      </apply>
      <command>
        <id xml:space="preserve">simplify</id>
      </command>
      <symResult>
        <apply>
          <pow />
          <id xml:space="preserve" labels="CONSTANT">e</id>
          <apply>
            <plus />
            <apply>
              <mult />
              <real>2</real>
              <id xml:space="preserve" labels="*">x</id>
            </apply>
            <apply>
              <mult />
              <real>5</real>
              <id xml:space="preserve" labels="*">y</id>
            </apply>
          </apply>
        </apply>
      </symResult>
    </symEval>
  </math>
</region>

• 단순화 알고리즘에서 수행되는 단계의 수를 늘리려면 max 수정자를 추가합니다. 일부 경우 simplify만 단독으로 사용하는 것보다 더 단순한 결과가 구해집니다.

• 일부 변수의 정의역에 대한 가정을 세워 식을 단순화하려면 simplify 다음에 assume 키워드와 적용할 가정을 추가합니다.

• 대체된 수치 값을 줄여서 표현하기 전에 값을 표시하려면 explicit 키워드를 사용합니다.

• 단순화할 식에 제곱근이나 역 삼각 함수와 같이 분기가 여러 개인 함수가 포함된 경우 PTC Mathcad가 원래 수치 동작과 다른 결과를 반환할 수 있습니다.

• 일반 지수나 로그를 포함하는 식을 단순화하려면 combine 키워드를 사용합니다.