Whats the difference between theorem, lemma and corollary? Can anybody explain me what is the basic difference between theorem, lemma and corollary? We have been using it for a long time but I never paid any attention I am just curious to know
Definition: Theorem, Lemma, Proposition, Conjecture and Principle etc. Definition: Theorem, Lemma, Proposition, Corollary, Postulate, Statement, Fact, Observation, Expression, Fact, Property, Conjecture and Principle Most of the time a mathematical statement is classified with one the words listed above
请解释一下这些语料库语言学概念：type，token, lemma，word family？ - 知乎 比如前文举的例子中，有 12 个类符。 lemma - 词目，剑桥词典上的解释是“a form of a word that appears as an entry in a dictionary and is used to represent all the other possible forms For example, the lemma 'build' represents 'builds', 'building', 'built', etc ”，也就是不同变形的单词的基本形式。
definition - What is a lemma? - Mathematics Stack Exchange As per title, what is a "lemma"? How is it different from "theorem"? ASAIK, I have to prove a self-proposed theorem in my paper Do I also have to provide the proof for a self-proposed lemma?
Lemma Proposition Theorem, which one should we pick? Lemma - technical result used in the proof of the theorem, which is claimed as original and proved, but the main interest in which lies its use in the proof of one or more theorems Corollary - a specialization of a just presented theorem, in terms more likely to be useful in practice, or of intuitive interest
terminology - Lemma vs. Theorem - Mathematics Stack Exchange On its own, Fatou's Lemma is not so remarkable, and it quickly becomes a minor routine step in very major and fundamental theorems in real analysis -- this is why it is itself a lemma, not a theorem Another good example of a theorem of the (i) type is "Zorn's lemma"
Terminology: Difference between Lemma, Theorem, Definition, Hypothesis . . . Lemma : Lemma contains some information that is commonly used to support a theorem So, a Lemma introduces a Theorem and comes before that Theorem The information contained in the Lemma is generally used in the proof of the Theorem Q1: What is a Proposition ? Q2: What is the difference between Proposition and Theorem ?
Urysohns Lemma: Proof - Mathematics Stack Exchange Why do we call the Urysohn lemma a "deep" theorem? Because its proof involves a really original idea, [ ] But the Urysohn lemma is on a different level It would take considerably more originality than most of us possess to prove this lemma unless we were given copious hints!"