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A negative semicycle of the solution of (2.1) consists of a "string" of terms, all less than the equilibrium point, with and such that (4.2).
A positive semi-cycle of a solution of (1.1) consists of a "string" of terms, all greater than or equal to the equilibrium, with and such that (1.3).
A positive semicycle of the solution of (2.1) consists of a "string" of terms, all greater than or equal to the equilibrium point, with and such that (4.1).
A positive semicycle of a solution { x n } n = - 1 ∞ of Equation (1.1) consists of a string of terms {x r, x r+1,..., x m }, all greater than or equal to the equilibrium x ̄, with r ≥ -1 and m ≤ ∞ such that e i t h e r r = - 1 o r r > - 1 a n d x r - 1 < x ̄. and e i t h e r m = ∞ o r m < ∞ a n d x m + 1 < x ̄.
A negative semicycle of a solution { x n } n = - 1 ∞ of Equation (1.1) consists of a string of terms {x r, x r+1,..., x m }, all less than the equilibrium x ̄, with r ≥ -1 and m ≤ ∞ such that e i t h e r r = - 1 o r r > - 1 a n d x r - 1 ≥ x ̄. and e i t h e r m = ∞ o r m < ∞ a n d x m + 1 ≥ x ̄.
In fact, Googling a string of terms like "Obama--Pennsylvania--bitter--guns--religion--San Francisco" produces hundreds of articles from known media outlets and bloggers, all linking to one another in a circle, like an enormous tiger chasing its tail.
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A negative semi-cycle of a solution of (1.1) consists of a "string" of term, all less than, with and such that (1.4).
He calls himself an equal-opportunity offender: Defending his having forwarded to friends and associates e-mails containing inflammatory images of African-Americans, he used a string of derogatory terms for Italians.
He resigned two months later and was followed by a string of short-term leaders.
Most research worldwide is fuelled by a vast legion of enthusiastic, talented younger scientists – PhD students and postdocs who work on a string of short-term contracts.
The striker Callum Wilson was carried off that day amid a string of long-term injuries that were supposed to dash any hopes of Bournemouth surviving.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com