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For 3-dimensional manifolds, we derive a formula for the second derivative of −log(det Δ) with respect to such a variation, at a critical point.
We characterize the algebraic boundary of this region and we derive a formula for its degree.
"They've actually caused some head-scratching in terms of how to price them," said Professor Duffie, who has asked his graduate students to derive a formula for valuation.
We also derive a formula for the critical thermal stress above which the plane surface will wrinkle and buckle.
Then, we investigate the general D-dimensional case (D > 1) and derive a formula for the asymptotic bias as a function of the MS vector.
Under the assumptions of the multivariate additive model, we derive a formula for the Gauss Markov predictor for a non-observable incremental claim.
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In 1965 a particle theorist derived a formula for the collision of elementary particles.
John Taylor, a former Treasury official, has derived a formula, the Taylor Rule, which Fed policy often agrees with.
Now a Yale-led group of researchers has derived a formula for understanding where quantum objects land when they are transmitted.
Twenty years later two gravitation theorists, using completely different techniques, derived a formula for the collision of stars or black holes.
We have derived a formula for computing the payload and the possible modification pixels of a block.
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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