Twix Twix Twix is a chocolate bar made by Mars, Inc., consisting of a biscuit ("cookie" in North America) applied with other confectionery toppings and coatings (most frequently caramel and milk chocolate). Twix are packaged with two or four bars in a wrapper. Miniature and other variations of Twix bars are also available. The product was first produced in the United Kingdom in 1967, and introduced in the United States in 1979. Twix was called Raider in mainland Europe for many years before its name was changed in 1991 (2000 in Denmark, Finland, Norway, Sweden and Turkey) to match the international
Pre-measure is called "σ"-additivity. Thus, what is missing for a pre-measure to be a measure is that it is not necessarily defined on a sigma-algebra (or a sigma-ring). It turns out that pre-measures give rise quite naturally to outer measures, which are defined for all subsets of the space "X". More precisely, if "μ" is a pre-measure defined on a ring of subsets "R" of the space "X", then the set function "μ" defined by is an outer measure on "X" and the measure "μ" induced by "μ" on the σ-algebra Σ of Carathéodory-measurable sets satisfies formula_4 for formula_5 (in particular,