The geometry and topology of the real number line and Cartesian plane are introduced. Techniques of formal proof are introduced including well-ordering, mathematical induction, proof by contradiction, ...

Harvard scientist Dr. Willie Soon claims a mathematical formula proves God's existence, sparking debate on the convergence of science and faith. Soon discusses examples like closed spacetime ...

This course covers the fundamentals of logic and standard mathematical proofs. It naturally builds from interpreting and creating ... Universal and existential quantifiers(“for all”, “there exists”) ...

We provide a complete mathematical formalization of derivable expressions over an admissible alphabet equipped with concatenation and enclosure operators. The proof of the Non-Duplication Theorem ...

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In a new study, researchers have finally proved that the original solution, which involves only four pieces, is optimal by using a new proof technique. This technique shows for the first time that ...

Mathematicians excel at handling complexity and uncertainty. Mathematical reasoning strategies aren't just useful for dilemmas involving numbers. We can apply math mindsets to improve our approach ...

Deepen your expertise and hone your research skills on this 4-year MEng Mathematical Computation at UCL. You'll delve deep into the mathematical topics, methods and principles that underpin modern ...

One of the most appealing aspects of adding an induction cooktop to your kitchen is how much easier they are to clean than traditional gas stoves. While yes, they do typically require less maintenance ...

Sign up for CNN’s Wonder Theory science newsletter. Explore the universe with news on fascinating discoveries, scientific advancements and more. Trees depicted in ...