Mary Hogarth beautiful and light-hearted". When Robert Story visited the Hogarth household in 1836, he described Hogarth as "the fairest flower of spring". Dickens showed particular affection to Hogarth, and described her as "a close friend, an exceptional sister, a companion at home." It is believed that Hogarth was the first person to read "The Pickwick Papers" and "Oliver Twist", as Dickens valued Hogarth's input and feedback more than his wife's. In the early hours of 7 May 1837, after Hogarth had returned from a showing of "Is She His Wife?" at the St James's Theatre with the Dickens couple, she collapsed
Arrangement of hyperplanes subspaces are "S" itself, all the individual hyperplanes, all intersections of pairs of hyperplanes, etc. (excluding, in the affine case, the empty set). These subspaces are called the flats of "A". The intersection semilattice "L"("A") is partially ordered by "reverse inclusion". If the whole space "S" is 2-dimensional, the hyperplanes are lines; such an arrangement is often called an arrangement of lines. Historically, real arrangements of lines were the first arrangements investigated. If "S" is 3-dimensional one has an arrangement of planes. The intersection semilattice "L"("A") is a meet semilattice and more specifically is a geometric semilattice. If the arrangement