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In mathematics, the extended real number system [a] is obtained from the real number system by adding two elements denoted + and [b] that are respectively greater and lower than every real number. This allows for treating the potential infinities of infinitely increasing sequences and infinitely decreasing series as actual infinities .
Involuntary extension of the "normal" leg occurs when flexing the contralateral leg against resistance. To perform the test, the examiner should hold one hand under the heel of the "normal" limb and ask the patient to flex the contralateral hip against resistance (while the patient is supine), asking the patient to keep the weak leg straight while raising it.
The Rorschach test is a projective psychological test in which subjects' perceptions of inkblots are recorded and then analyzed using psychological interpretation, complex algorithms, or both. Some psychologists use this test to examine a person's personality characteristics and emotional functioning.
Each real set, function, and relation has its natural hyperreal extension, satisfying the same first-order properties. The kinds of logical sentences that obey this restriction on quantification are referred to as statements in first-order logic. The transfer principle, however, does not mean that R and *R have identical behavior.
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Extemporaneous Speaking (Extemp, or EXT) is a speech delivery style/speaking style, and a term that identifies a specific forensic competition. The competition is a speech event based on research and original analysis, done with a limited-preparation; in the United States those competitions are held for high school and college students.
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Here are some of the basic properties and computations of Ext groups. [3] Ext 0 R (A, B) ≅ Hom R (A, B) for any R-modules A and B. Ext i R (A, B) = 0 for all i > 0 if the R-module A is projective (for example, free) or if B is injective. The converses also hold: If Ext 1 R (A, B) = 0 for all B, then A is projective (and hence Ext i R (A, B ...