A dry lecture may require the professor to bring a watergun in order to keep the students' attention.

3) Geometric interpretation of the localization. Let V be an irreducible algebraic variety. Then P = J(V) is a prime ideal of ℂ[X_1,...,X_n] and so ℂ[V]=ℂ[X_1,...,X_n]/J(V) is an integral domain. The localization ℂ[X_1,...,X_n]_P is a subring of ℂ(X_1,...,X_n) consisting of rational functions f/g:f,g∈ℂ[X_1,...,X_n],g∉P which are defined on a nonempty subset of V. If V = {x} is a point, then P is maximal and ℂ[X_1,...,X_n]_P=f/g:f,g∈ℂ[X_1,...,X_n],g(x) ne 0 consists of rational functions which are defined at x.

Chinese geese, various kinds of papagays or parrots, white and variegated peacocks, &c. are here seen either roving about at large,

Mendelssohn had misunderstood, platitudinized, and misinterpreted the holy concept of revelation.