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We developed a new Bochner formula and it becomes useful with the first conjecture we proved.
For the first conjecture, the product of the distances from an interior point to the vertices is mainly considered and a lower bound is obtained by the geometric method.
Recall Bostrom's first conjecture: that few or none of our civilizations reach a posthuman stage capable of building computers that can run the kind of simulation in which we might exist.
(p 157 158) Rensch's first conjecture has received widespread support from studies of diverse vertebrate and invertebrate taxa: in taxa where males are larger than females (male-biased SSD, MBSSD), SSD does indeed tend to increase with body size [2], [3].
The first conjecture was the binding of messenger RNAs carrying sense and antisense Alus.
The naïve reading is regarded as a first conjecture and it has to be validated or invalidated by the subsequent structural analysis [ 4].
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The ergodic theorem was first conjectured by the American chemist J. Willard Gibbs in the early 1900s in the context of statistical mechanics and was proved in a corrected, abstract formulation by the American mathematician George David Birkhoff in 1931.
Identity (2.14) was first conjectured by Professor Ohtsuka, the first author of [10].
One consequence of this result was a new proof of a theorem about moduli spaces first conjectured in a theoretical physics setting by Edward Witten of the Institute for Advanced Study in Princeton, New Jersey, himself a Fields medalist.
After first conjecturing that the Axiom of Constructibility might be "absolutely consistent," meaning not falsifiable by any further extension of models of ZF + V = L,[17] in his 1947 "What is Cantor's Continuum Hypothesis?" Gödel conjectured that the CH would be shown to be independent.
It was Kennedy who first conjectured that "parsing Perl suffers from the 'halting problem'", which was later proved.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com