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Since q* is non-decreasing and well-behaved, every point of increase belongs to an open interval where q* is either continuous or strictly increasing.
Of course, when every point of increase belongs to an open interval all of whose points are points of increase, on that interval the function concerned must be strictly increasing.
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We still need a result that will lead us from (4) to conditions (11)–(13): If θ″ (or θ′) is a point of increase belonging to an interval where q* is either continuous, or (and) strictly increasing, then ( {text{MR}}left( {theta ^{primeprime}} right) = {text{MC}}^ left( {theta ^{primeprime}} right) ) (same for θ′).
The quadratic IF curve that starts at π/2 radians and increases belongs to the third component.
Bloggers such as Marty Kaplan of The Huffington Post argue that so long as Stewart's comedy is grounded in truth, responsibility for increased cynicism belongs to the political and media figures themselves, not the comedian who satirizes them.
The primary aim of the study is to examine the effectiveness of the Wii to decrease the level of depressive symptoms and increase a sense of belonging, increase self-reported mood, and increase social support at post-intervention and 2-month follow up.
The domestic record for a sales increase may belong to the issue of People in 2006 with the first published pictures of Ms. Jolie's and Mr. Pitt's baby, Shiloh, which sold 800,000 more copies than usual.
At the highest observed value on the attitudinal boundary marker measure (the case of the US, cf. Fig. 3), citizenship is associated with a.11 increase in belonging, compared to immigrants without citizenship.
The short-term increases may belong to cephalic and orosensory phase responses, whereas the long-term increases cohere to the gastrointestinal mechanisms.
The factors independently associated with participation in CRC screening by an individual at increased risk belonged to each of four dimensions relating to his individual psychosocial characteristics, to his relationship with a physician, within the family and social environment.
By contrast in Fig. 3, we can see that the intensity of peaks at 1,005, 1,605 and 1,620 cm−1 increased which belong to phenylalanine, while 785 and 1,585 cm−1 also enhanced which assigned to indole ring of tryptophan.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com