theo
rem
复数形式
theorems
1
定理
a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system
- Mathematicians often prove theorems to establish mathematical truths.
数学家经常证明定理以建立数学真理。
- One fundamental aspect of mathematical reasoning is establishing the validity of theorems.
数学推理的一个基本方面是确立定理的有效性。
- The Pythagorean theorem is a well-known principle in geometry.
毕达哥拉斯定理是几何学中一个著名的原理。
- A theorem typically requires a rigorous proof to be considered valid.
定理通常需要严格的证明才能被视为有效。
- Students often encounter various theorems while studying advanced mathematics.
学生在学习高等数学时经常会遇到各种定理。
2
an idea or statement widely accepted as demonstrably true
- The engineer relied on the theorem that stress is proportional to strain.
- Economic models propose theorems about market behavior.
- The experiment confirmed a physical theorem regarding energy conservation.
- Philosophical theorems may require logical argument rather than empirical proof.
- Some theorems in physics bridge abstract concepts and measurable results.