Bernstein basis polynomial

Meaning

Noun

• Any polynomial of the form $b\_\{i,n\}(t)=\; \{n\; \backslash choose\; i\}\; t^i\; (1\; -\; t)^\{n\; -\; i\}\backslash !\backslash !$, being the i ^th term of the binomial expansion of $(t\; +\; (1\; -\; t))^n\backslash !$.

Origin

• Named after Sergei Natanovich Bernstein (1880–1968), a Russian and Soviet mathematician of Jewish origin.