Theme or themes may refer to:

Art

See also

In Indo-European studies, a thematic vowel or theme vowel is the vowel *e or *o from ablaut placed before the ending of a Proto-Indo-European (PIE) word. Nouns, adjectives, and verbs in the Indo-European languages with this vowel are thematic, and those without it are athematic. Used more generally, a thematic vowel is any vowel found at the end of the stem of a word.

Proto-Indo-European

PIE verbs and nominals (nouns and adjectives) consist of three parts:

The thematic vowel, if present, occurs at the end of the suffix (which may include other vowels or consonants) and before the ending:

Athematic forms, by contrast, have a suffix ending in a consonant, or no suffix at all (or arguably a null suffix):

For several reasons, athematic forms are thought to be older, and the thematic vowel was likely an innovation of late PIE: Athematic paradigms (inflection patterns) are more "irregular", exhibiting ablaut and mobile accent, while the thematic paradigms can be seen as a simplification or regularisation of verbal and nominal grammar. In the Anatolian languages, which were the earliest to split from PIE, thematic verbs are rare or absent. Furthermore, during late PIE and in the older daughter languages, a number of athematic forms were replaced by thematic ones, as in prehistoric Greek *thes- 'god' versus *thes-o- > Classical Greek θεός (theós).

The Family Way is a soundtrack recording composed by Paul McCartney, released in January 1967. The album is the soundtrack to the 1966 film of the same name, directed by Roy Boulting and starring Hayley Mills. Produced and arranged by George Martin, the album was credited to "The George Martin Orchestra" and issued under the full title The Family Way (Original Soundtrack Album). A 45rpm single, again credited to the George Martin Orchestra, was issued on 23 December 1966, comprising "Love in the Open Air" backed with "Theme From 'The Family Way'", as United Artists UP1165.

The Family Way won an Ivor Novello Award in 1967. It was remastered and released on CD in 1996 with new musical compositions not on the original 1967 soundtrack album.

The recording took place over November and December 1966, before the Beatles began work on their album Sgt. Pepper's Lonely Hearts Club Band. McCartney's involvement in the project was minimal, according to biographer Howard Sounes, who quotes Martin's recollection that he had to "pester Paul for the briefest scrap of a tune" with which to start writing the score. After McCartney had provided "a sweet little fragment of a waltz tune", Martin continued, "I was able to complete the score."

Collapse may refer to:

In Riemannian geometry, a collapsing or collapsed manifold is an n-dimensional manifold M that admits a sequence of Riemannian metrics g_i, such that as i goes to infinity the manifold is close to a k-dimensional space, where k < n, in the Gromov–Hausdorff distance sense. Generally there are some restrictions on the sectional curvatures of (M, g_i). The simplest example is a flat manifold, whose metric can be rescaled by 1/i, so that the manifold is close to a point, but its curvature remains 0 for all i.

Examples

Generally speaking there are two types of collapsing:

(1) The first type is a collapse while keeping the curvature uniformly bounded, say .

Let be a sequence of dimensional Riemannian manifolds, where denotes the sectional curvature of the ith manifold. There is a theorem proved by Jeff Cheeger, Kenji Fukaya and Mikhail Gromov, which states that: There exists a constant such that if and , then admits an N-structure, with denoting the injectivity radius of the manifold M. Roughly speaking the N-structure is a locally action of a nilmanifold, which is a generalization of an F-structure, introduced by Cheeger and Gromov. This theorem generalized previous theorems of Cheeger-Gromov and Fukaya where they only deal with the torus action and bounded diameter cases respectively.

Collapse: How Societies Choose to Fail or Succeed (also titled Collapse: How Societies Choose to Fail or Survive) is a 2005 book by academic and popular science author Jared M. Diamond, which reviews the causes of historical and pre-historical instances of societal collapse—particularly those involving significant influences from environmental changes, the effects of climate change, hostile neighbors, and trade partners—and considers the responses different societies have had to such threats. While the bulk of the book is concerned with the demise of these historical civilizations, Diamond also argues that humanity collectively faces, on a much larger scale, many of the same issues, with possibly catastrophic near-future consequences to many of the world's populations.

Synopsis

In the prologue, Diamond summarizes his methodology in one paragraph:

Diamond identifies five factors that contribute to collapse: climate change, hostile neighbors, collapse of essential trading partners, environmental problems, and failure to adapt to environmental issues.