List of theorems - Wikipedia
This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures; List of data structures; List of derivatives and integrals in alternative calculi; List of equations; List of fundamental theorems; List of hypotheses; List of inequalities; Lists of ...
Theorem - Wikipedia
Theorems in mathematics and theories in science are fundamentally different in their epistemology. A scientific theory cannot be proved; its key attribute is that it is falsifiable, that is, it makes predictions about the natural world that are testable by experiments. Any disagreement between prediction and experiment demonstrates the ...
定理 - 维基百科，自由的百科全书
定理（英語： Theorem ）是經過受邏輯限制的證明為真的陈述。 一般來說，在數學中，只有重要或有趣的陳述才叫定理。證明定理是數學的中心活動。 一个定理陈述一个给定类的所有（全称）元素一种不变的关系，这些元素可以是无穷多，它们在任何时刻都无区别地成立，而没有一个例外。
Theorem -- from Wolfram MathWorld
2024年12月18日 · Although not absolutely standard, the Greeks distinguished between "problems" (roughly, the construction of various figures) and "theorems" (establishing the properties of said figures; Heath... A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments.
THEOREM中文(简体)翻译：剑桥词典 - Cambridge Dictionary
Below we introduce the precise setup and present our main results in a series of theorems. 来自 Cambridge English Corpus The purpose is to prove a distributional limit theorem for the …
Famous Theorems of Mathematics - Wikibooks
2020年5月27日 · This book is intended to contain the proofs (or sketches of proofs) of many famous theorems in mathematics in no particular order. It should be used both as a learning resource, a good practice for acquiring the skill for writing your own proofs is to study the existing ones, and for general references.
Theorem | Proofs, Axioms & Algorithms | Britannica
Theorem, in mathematics and logic, a proposition or statement that is demonstrated. In geometry, a proposition is commonly considered as a problem (a construction to be effected) or a theorem (a statement to be proved). The statement “If two lines intersect, each …
10.2: Axioms, Theorems, and Proofs - Mathematics LibreTexts
Without theorems, the world is just a bunch of statements with no conclusions. The idea of a theorem allows us to say, "If it is raining, then it must be cloudy." This statement makes sense, and almost serves as advice or warning. Without the theorem structure, either the conclusion or the assumption is gone, and we would only say,
Maths Theorems List and Important Class 10 Maths Theorems …
For Class 10, some of the most important theorems are: Pythagoras Theorem; Midpoint Theorem; Remainder Theorem; Fundamental Theorem of Arithmetic; Angle Bisector Theorem; Inscribed Angle Theorem; Ceva’s Theorem; Bayes’ Theorem; Apart from these theorems, the lessons that have the most important theorems are circles and triangles.
Theorems - MathBlog
Theorems are at the heart of mathematics, and they are considered to describe facts that are absolutely true. Mathematics is fundamentally about discovering and understanding the laws that underpin our system of numbers, geometry, and algebra. Laws and principles are really just theorems that have broad applications.