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Despite early hiccups, number theorists say they have finally proved a key conjecture about prime numbers: that the smallest possible gap between two large prime numbers continues to shrink, relative to the natural logarithm of the smaller number, as the numbers increase.
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This concept is tightly linked to two key conjectures on evolution of cells: existence of a complex, precellular, compartmentalized but extensively mixing and recombining pool of genes, and origin of the eukaryotic cell by archaeo-bacterial fusion.
As noted above, mathematical insights involve an intuitive yet not fully elaborated understanding of the key ideas behind a conjecture.
This suggests that producing any depictive gesture may help students glean some key ideas behind the conjecture; however, dynamic gestures may be associated with reasoning about relationships between geometric objects.
Section 2.4 introduces the Edge of Chaos hypothesis, a CA-related conjecture playing a key role in complexity theory.
Observations show that both teachers and students use multimodal forms of talk using speech-accompanied gestures as a way to track the development of key ideas when exploring mathematical conjectures (Nathan, Walkington, Srisurichan, & Alibali, 2011).
Movements are designed to either be task-relevant, capturing some key relation of the subsequent geometry conjecture (Table 1), or task-irrelevant.
While much of the learning generated by this research will be on palliative care processes, there will also be key methodological messages about developing CMO conjectures early in a project and populating them with evidence.
So we conjecture that the statistics method is the key factor causing differences in identification of selection sweeps.
The key assumptions of the IGT have been summarized in conjectures 1 8.
Everything thus rested on the Taniyama-Weil conjecture, and Wiles decided to tackle this very difficult key problem in number theory.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com