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In a weak formulation, equations or conditions are no longer required to hold absolutely (and this is not even well defined) and has instead weak solutions only with respect to certain "test vectors" or "test functions". In a strong formulation, the solution space is constructed such that these equations or conditions are already fulfilled.
An example is singing, where strong forms may be used almost exclusively, apart (normally) from a, although weak forms may be used more frequently as tempo increases and note-values shorten. [citation needed] The vowel reduction in weak forms may be accompanied by other sound changes, such as h-dropping, consonant elision, and assimilation.
Weak form and strong form may refer to: Weaker and stronger versions of a hypothesis, theorem or physical law; Weak formulations and strong formulations of differential equations in mathematics; Differing pronunciations of words depending on emphasis; see Weak and strong forms in English; Weak and strong pronouns
The form stricken is limited to certain adjectival and specialist uses string – strung/*stringed – strung/*stringed hamstring – hamstrung/*hamstringed – hamstrung/*hamstringed overstring – overstrung/*overstringed – overstrung/*overstringed: Weak: Irregular forms developed by analogy with strong verbs strip – stripped – stripped
Weak verbs form the past tense by adding endings with -d-in them (sometimes -t-) to the stem. In Modern English, these endings have merged as -ed, forming the past tense for most verbs, such as love, loved and look, looked. Weak verbs already make up the vast majority of verbs in Old English. There are two major types: class I and class II.
The following is a list of irregular verbs that are commonly used in standard modern English. It omits many rare, dialectal, and archaic forms, as well as most verbs formed by adding prefixes to basic verbs (unbend, understand, mistake, etc.). It also omits past participle forms that remain in use only adjectivally (clad, sodden, etc.).
Weakened weak form (or W2 form) [1] is used in the formulation of general numerical methods based on meshfree methods and/or finite element method settings. These numerical methods are applicable to solid mechanics as well as fluid dynamics problems.
The traditional form is much more common in Northern England. A similar merger is encountered in many varieties of American English , whose prevailing pronunciations are [oə] and [oɹ] ⁓ [ɔɹ] , depending on whether or not the accent is rhotic.