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Regarding 'Conjecture 1', the next example shows that it does not hold.
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(Erdős often gave cash prizes to mathematicians for solving unsolved problems and regarded the conjecture as quite difficult. Szemerédi received $1,000 from Erdős for his proof).
For example, a mathematician working on a proof regards a conjecture as plausible if it "has some chances of success" (Polya 1954 (v. 2): 148).
Only the details remain in the air, and conjecture regarding his impending departure will hang in the Mets clubhouse until a trade is completed.
In particular, he was able to show that Polish American mathematician Benoit Mandelbrot's conjecture regarding the fractal dimension (a measure of a shape's complexity) of the boundary of the largest of these sets was correct.
To the author's knowledge, no Conjecture regarding what the answer to the Algebraic KP Question should be has appeared in the literature.
Science, particularly social science, being what it is, many conclusions will be provisional; the philosophical moral psychologist must be prepared to adjudicate controversies in other fields, or offer informed conjecture regarding future findings.
If this conjecture regarding the intimate or internal relationship between virtue and moral sense is correct, then it does much to explain and account for the range of exemptions that are required in this area.
Another reason why this function has drawn so much attention is the celebrated Riemann conjecture regarding nontrivial zeros which states that all nontrivial zeros of the Riemann zeta-function lie on the critical line.
Finally, we pose a conjecture regarding the behavior of sloppiness with scale: if a small-scale AQS model with a lattice quantum many-body Hamiltonian is sloppy, then its large-scale version will also be sloppy.
Such data would lessen post hoc conjecture regarding underlying physical abnormalities and the attribution of emergent adverse drug events.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com