theorem in a sentence
n.
📚 Grade Level: Grade 6, Grade 7, Grade 8, Grade 9, Grade 10, Grade 11, Grade 12
Definition
A theorem is a statement or proposition that has been proven to be true based on previously established statements, such as other theorems, axioms, and definitions, particularly in mathematics.
Sample Sentences
- The mathematician proved a groundbreaking theorem that changed the field of geometry.
- Her research focused on a complex theorem that linked number theory and combinatorics.
- In physics, the theory of relativity is often presented as a theorem within a broader context.
- The theorem established a fundamental connection between algebra and topology, sparking new investigations.
- Students often find it challenging to grasp the implications of the Pythagorean theorem in higher dimensions.
- The Pythagorean theorem is a fundamental principle in geometry that relates the lengths of the sides of a right triangle.
- In mathematics, a theorem is a statement that has been proven based on previously established statements and axioms.
- The team's breakthrough involved a new theorem that could potentially revolutionize our understanding of quantum mechanics.
- To illustrate the theorem, the professor used a series of diagrams that made the concepts easier to grasp.
- After months of work, she finally published her proof of the long-conjectured theorem, earning the respect of her peers.