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Yet desiring to F while believing that one will not F seems like no rational error at all.
The real numbers β i, i = 1, …, m n + n, are approximated by rational numbers β i a with rational error bounds β i v ≥ | β i − a β i |.
On each B q, q = 1, …, m + 1, the functions ϕ j, j = 1, …, m n + n, are approximated by the polynomials ϕ j q a with rational coefficients and with rational error bounds ϕ j q v ≥ ∥ a ϕ j q − ϕ j q ∥ L p ′ 1 [ t q − 1, t q ].
The constants ψ i q k are approximated by rational numbers ψ i q k a with rational error bounds ψ i q k v ≥ | ψ i q k − a ψ i q k |, i = 0, …, n − 1 ; q = 0, …, m ; k = 1, …, m n + n.
Fix q = 1, …, m + 1. Approximate p i j and f on the set B q by polynomials p i j q a and f q a with rational coefficients and define the rational error bounds: p i j q v ≥ ∥ p i j − a p i j q ∥ L p 1 [ t q − 1, t q ], v f q ≥ ∥ f − a f q ∥ L p 1 [ t q − 1, t q ].
A rational error estimate however depends on what can be achieved analytically (method variation) and biologically (variation around a homeostatic set point).
Similar(54)
This study aimed to develop a better understanding of error types associated with microsatellite genotyping, as a first step toward development of a rational error-detection strategy.
In our model, repulsive tuning curve changes are understood as rational errors committed by a sensory system which assumes sparseness about neural drive.
But rational persuasion of error arrived at through one's own reasoning is not possible.
The distinction is important, because it is in the rational part that error of judgment enters in.
The main contribution of this research is a mathematical model to build an exact arithmetical unit able to represent without error rational numbers in positional notation system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com