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1 Grow or cause to grow and become more mature, advanced, or elaborate.

no object
with object
grow , evolve, mature, expand, enlarge, spread, advance, progress, prosper, succeed, thrive, get on well, flourish, blossom, bloom, burgeon, make headway, be successful
initiate , instigate, set in motion, put in place, institute, inaugurate, originate, invent, form, establish, fashion, generate
expand , enlarge, add to, flesh out, supplement, reinforce, augment, extend, broaden, fill out, embellish, enhance, elaborate, amplify, refine, improve, polish, perfect

2 Start to exist, experience, or possess.

no object
with object
come into being , come about, start, begin, be born, come into existence, appear, arrive, come forth, emerge, erupt, burst out, arise, originate, break, unfold, crop up, follow, happen, result, ensue, break out
fall ill with , be taken ill with, be struck down with, be stricken with, succumb to

3 with object Treat (a photographic film) with chemicals to make a visible image.

4 Chess with object Bring (a piece) into play from its initial position on a player's back rank.

### Origin

Mid 17th century (in the sense ‘unfold, unfurl’): from French développer, based on Latin dis- ‘un-’ + a second element of unknown origin found also in envelop.

Pronunciation

## develop

/dɪˈvɛləp/

'Bare' or 'Bear'?
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or equivalently, if the joint density exists,

A set of random variables is DESIGN Java Espadrille Mule Sandals buy for sale sale really WmKkIm
if and only if every pair of random variables is independent. Even if the set of random variables is pairwise independent, it is not necessarily mutually independent as defined next.

A set of random variables is mutually independent if and only if for any finite subset ${X}_{1},\dots ,{X}_{n}$ and any finite sequence of numbers ${a}_{1},\dots ,{a}_{n}$ , the events $\left\{{X}_{1}\le {a}_{1}\right\},\dots ,\left\{{X}_{n}\le {a}_{n}\right\}$ are mutually independent events (as defined above).

The measure-theoretically inclined may prefer to substitute events { X A } for events { X a } in the above definition, where A is any Borel set . That definition is exactly equivalent to the one above when the values of the random variables are real numbers . It has the advantage of working also for complex-valued random variables or for random variables taking values in any measurable space (which includes topological spaces endowed by appropriate σ-algebras).

Linguistic structures are pairings of meaning and form. Any particular pairing of meaning and form is a Saussurean . For instance, the meaning "cat" is represented worldwide with a wide variety of different sound patterns (in oral languages), movements of the hands and face (in sign languages ), and written symbols (in written languages).

Linguists focusing on structure attempt to understand the rules regarding language use that native speakers know (not always consciously). All linguistic structures can be broken down into component parts that are combined according to (sub)conscious rules, over multiple levels of analysis. For instance, consider the structure of the word "tenth" on two different levels of analysis. On the level of internal word structure (known as morphology), the word "tenth" is made up of one linguistic form indicating a number and another form indicating ordinality. The rule governing the combination of these forms ensures that the ordinality marker "th" follows the number "ten." On the level of sound structure (known as phonology), structural analysis shows that the "n" sound in "tenth" is made differently from the "n" sound in "ten" spoken alone. Although most speakers of English are consciously aware of the rules governing internal structure of the word pieces of "tenth", they are less often aware of the rule governing its sound structure. Linguists focused on structure find and analyze rules such as these, which govern how native speakers use language.

Linguistics has many sub-fields concerned with particular aspects of linguistic structure. The theory that elucidates on these, as propounded by Noam Chomsky, is known as generative theory or universal grammar . These sub-fields range from those focused primarily on form to those focused primarily on meaning. They also run the gamut of level of analysis of language, from individual sounds, to words, to phrases, up to cultural discourse.

Sub-fields that focus on a grammatical study of language include the following.

Stylistics is the study and interpretation of texts for aspects of their linguistic and tonal style. Stylistic analysis entails the analysis of description of particular dialects and registers used by speech communities. Stylistic features include rhetoric , [37] diction, stress, outlet limited edition Hogan traditional 2015 sneakers discount collections oGO5Cz5b
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, dialogue, and other forms of phonetic variations. Stylistic analysis can also include the study of language in canonical works of literature, popular fiction, news, advertisements, and other forms of communication in popular culture as well. It is usually seen as a variation in communication that changes from speaker to speaker and community to community. In short, Stylistics is the interpretation of text.