analysis

分析

仕組みや意味を理解するため、物事やその各部分を詳しく調べること。

やさしい英語で： A careful study of something and its parts to understand how it works or what it means.

• We need an analysis of the problem.
• Her analysis showed why sales had fallen.
• The scientists completed several chemical analyses.

使い方： analysis of something (The report includes an analysis of the results.)

類義語： examination, study

よく使う表現： analysis of something, detailed analysis, data analysis

解析学

変化する量や関数、値が極限に近づく様子を調べる数学の分野。

やさしい英語で： The area of mathematics that studies changing quantities, functions, and how values approach limits.

• She studies mathematical analysis.
• Real analysis examines limits and continuous functions.
• Our analysis course includes a chapter on integration.

よく使う表現： real analysis, complex analysis, mathematical analysis

演繹

正しいと分かっている事実から筋道を立てて、何かを証明する方法。

やさしい英語で： A way of proving something by reasoning from facts already known to be true.

• He established the claim by analysis.
• The philosopher used analysis to reach the conclusion.
• Their analysis began with two accepted truths.

類義語： deduction

よく使う表現： proof by analysis, logical analysis