Graffiti Graffiti Graffiti (both singular and plural; the singular "graffito" is very rare in English except in archeology) is writing or drawings made on a wall or other surface, usually without permission and within public view. Graffiti ranges from simple written words to elaborate wall paintings, and it has existed since ancient times, with examples dating back to ancient Egypt, ancient Greece, and the Roman Empire. In modern times, paint (particularly spray paint) and marker pens have become the most commonly used graffiti materials. In most countries, marking or painting property without the property owner's permission is considered defacement and vandalism,
Generalized singular value decomposition reduces to the singular value decomposition, explaining the name. The weighted version of the generalized singular value decomposition (GSVD) is a constrained matrix decomposition with constraints imposed on the left and right singular vectors of the singular value decomposition. This form of the "GSVD" is an extension of the "SVD" as such. Given the "SVD" of an "m×n" real or complex matrix "M" where Where "I" is the Identity Matrix and where formula_22 and formula_23 are orthonormal given their constraints (formula_30 and formula_31). Additionally, formula_30 and formula_31 are positive definite matrices (often diagonal matrices of weights). This form of the