Square and Compasses stand for Great Architect of the Universe (a non-denominational reference to God)." The square and compasses has used as a symbol by several organisations, sometimes with additional symbols: Square and Compasses The Square and Compasses (or, more correctly, a square and a set of compasses joined together) is the single most identifiable symbol of Freemasonry. Both the square and compasses are architect's tools and are used in Masonic ritual as emblems to teach symbolic lessons. Some Lodges and rituals explain these symbols as lessons in conduct: for example, Duncan's Masonic Monitor of 1866 explains them as: "The square, to square
G-structure on a manifold condition. Without the corresponding integrability condition, the structure is instead called an "almost" structure, as in an almost complex structure, an almost symplectic structure, or an almost Kähler structure. Specifically, a symplectic manifold structure is a stronger concept than a "G"-structure for the symplectic group. A symplectic structure on a manifold is a two-form "ω" on "M" that is non-degenerate (which is an formula_38-structure, or almost symplectic structure), "together with" the extra condition that d"ω" = 0; this latter is called an integrability condition. Similarly, foliations correspond to "G"-structures coming from block matrices, together with integrability conditions so that the