In the language of mathematics, these two configurations ... eight and 24 in which Cohn and Kumar’s numerical lower bounds work well. This strongly suggests that there should be magic functions in ...

How do these abstract mathematical relationships produce works of art? Because of two properties of the functions: They can be defined and expressed on the two-dimensional plane, which naturally ...

You Can Get By in Excel Without Math Skills . Microsoft Excel has so many user-friendly and automated tools that most people with even a basic understanding of math can begin, cre ...

Excel's functions work in a similar way. Indeed, they start with the = sign, and enable you to perform calculations. However, where Excel's formulas are limited to the basic mathematical ...

Dr. Kashiwara’s highly abstract work combined algebra ... The real world, described by the mathematical functions of real numbers, “is surrounded by a complex world” involving functions ...