Constants and changes

Eating meat: Constants and changes

Eating meat has been an important component of human evolution and rising meat consumption has made a major contribution to improved nutrition. Expanding the current practices of meat production would worsen its already considerable environmental consequences but more environmentally sensitive ways of meat production are possible. Although they could not match the current levels of meat supply,...

Lipschitz Extension Constants Equal Projection Constants

For a Banach space V we define its Lipschitz extension constant, LE(V ), to be the infimum of the constants c such that for every metric space (Z, ρ), every X ⊂ Z, and every f : X → V , there is an extension, g, of f to Z such that L(g) ≤ cL(f), where L denotes the Lipschitz constant. The basic theorem is that when V is finite-dimensional we have LE(V ) = PC(V ) where PC(V ) is the well-known p...

Mathematical Constants and Sequences

Basic math constants Derived from the basic ones ... from 0 and 1 ... from i ... from 1 and i ... from π ... from e ... from e and π ... from γ ... from Φ Named real math constants Other notable real constants Notable integer numbers Named/notable functions on N Named/notable integer sequences Related to Factorials Related to Hamming weight Related to Powers Related to Divisors Related to Aliqu...

Constants and scientific progress.

Scientists like constants (a personal favorite is Avogadro's number). It is no wonder, because not only does defining a constant represent a major scientific breakthrough, but as human beings we like things we can rely on, things that stay the same and that bring us consistency, stability, and a way to understand ourselves and the world around us. On the other hand, scientists create and welcom...

Constants and Splicing Systems