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Two lattices L 1 and L 2 are said to be adjacent if some lattice equivalent to L 2 lies between L 1 and its sublattice p·L 1: this relation is symmetric. The k-simplices of X are equivalence classes of k + 1 mutually adjacent lattices, The (n − 1)-simplices correspond, after relabelling, to chains p·L n ⊂ L 1 ⊂ L 2 ⊂ ··· ⊂ L n ...
In the Renaissance, an architect like Leon Battista Alberti was expected to be knowledgeable in many disciplines, including arithmetic and geometry.. The architects Michael Ostwald and Kim Williams, considering the relationships between architecture and mathematics, note that the fields as commonly understood might seem to be only weakly connected, since architecture is a profession concerned ...
Thomas J. Barratt was hired by Pears to be its brand manager—the first of its kind—and in addition to creating slogans and images he recruited West End stage actress and socialite Lillie Langtry to become the poster-girl for Pears, making her the first celebrity to endorse a commercial product. [1] Modern advertising originated with the ...
The houses comprise a combined living room/kitchen and large study bedroom on the ground floor, and smaller study bedrooms and a bathroom on the first floor. The curved walls of the downstairs study are lined with blackboards, built to the specification that they should be high enough for the mathematician to work but also "low enough for small ...
He paid an additional $5.4 million for the existing house and lot which was torn down to make room for his new home. [4] Called Integral House (a reference to its curved walls, and their similarity to the mathematical integral symbol), the house includes a concert hall that seats 150. Stewart has said, "My books and my house are my twin legacies.
The first part of this joke relies on the fact that the primitive (formed when finding the antiderivative) of the function 1/x is log().The second part is then based on the fact that the antiderivative is actually a class of functions, requiring the inclusion of a constant of integration, usually denoted as C—something which calculus students may forget.
The order-dependent composition 1 + 3 is the same partition as 3 + 1, and the two distinct compositions 1 + 2 + 1 and 1 + 1 + 2 represent the same partition as 2 + 1 + 1. An individual summand in a partition is called a part. The number of partitions of n is given by the partition function p(n). So p(4) = 5.
Mobile homes are designed and constructed to be transportable by road in one or two sections. Mobile homes are no larger than 20 m × 6.8 m (65 ft 7 in × 22 ft 4 in) with an internal maximum height of 3.05 m (10 ft 0 in). Legally, mobile homes can still be defined as "caravans".