A theorem is a result whose truth can be proved from a set of axioms. The term is mainly used in mathematics, where the axioms are those of mathematical logic and the systems concerned. A theory is a set of ideas used to explain why something is true, or a set of rules on which a subject is based.
What is an example sentence?
A result that turned out to be true (using operations and facts already known). Example: The Pythagorean Theorem proved that a 2 + b 2 = c 2 for a right triangle. A theorem is a main result, a secondary result is called a lemma. …
What is a theorem?
1: a mathematical or logical formula, proposition or statement which is derived or intended to be derived from other formulas or propositions. 2: an idea accepted or proposed as a provable truth often in the context of a general theory: theorem proposition that the best defense is attack.
Are the theorems true?
In mathematics and logic, a theorem is a non-obvious statement that has been proven to be true, either based on commonly accepted statements like axioms, or based on previously established statements like other theorems.
What is a theory in mathematics?
A mathematical theory is a mathematical model based on axioms. It can also simultaneously be a body of knowledge (e.g. based on known axioms and definitions) and therefore in this sense refer to a mathematical research area within the established framework.
How many types of theorems are there?
Here is provided the list of key math theorems for all grade levels (from 6 to 12) which is essential for building a stronger base in math. … List of mathematical theorems.
| Pythagorean theorem | Factor theorem |
|---|---|
| Isosceles triangle theorem | Basic proportionality theorem |
| Theorem of Greens | Theorem of Bayes |
What is the difference between lemma and theorem?
Theorem – a mathematical statement proved by rigorous mathematical reasoning. In a mathematical article, the term theorem is often reserved for the most important results. Lemma – a side result whose sole purpose is to help in proving a theorem. It is a stepping stone on the way to proving a theorem.
What are the 5 learning theories?
There are five pedagogical learning theories that educators can apply to improve their classroom and make it a better learning environment for all students.
- Theory of cognitive learning. …
- Learning theory of behaviorism. …
- Constructivist learning theory. …
- Humanistic Learning Theory. …
- Learning theory of connectivism.
What are the four learning theories?
4 The learning theories are classical conditioning, operant conditioning, cognitive theory, and social learning theory. Learning is the individual growth of the person as a result of cooperative interaction with others.