Exact(4)
Mathematically speaking, his argument involves the sum of the infinite geometric progression no finite partial sum of which adds up to 2. As Aristotle would later say, this progression is only potentially infinite.
This algorithm was based on finding a least fixed point of a finite partial lattice under production rules derived from universal Horn sentences.
The infinite sum :\sum_{i=0}^{\infty} f_i denotes the limit of the corresponding finite partial sums of the sequence (fi i∈N of elements of V.
However, when a volatile surfactant is dissolved in the liquid phase, which also exerts a finite partial pressure in the vapor phase, can adsorption from both sides of the interface still be considered independent of one another?
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In this paper, we develop a unified framework to address the problem of optimal nonlinear analysis and feedback control design for finite-time partial stability and finite-time, partial-state stabilization.
The model used in this study is a detailed two-dimensional steady-state model, solved using a finite element partial differential equation solver.
Finally, we develop optimal feedback controllers for affine nonlinear systems using an inverse optimality framework tailored to the finite-time, partial-state stabilization problem and use this result to address finite-time, partial-state stabilizing sublinear controllers that minimize a derived performance criterion involving subquadratic terms.
The overall framework provides the foundation for extending optimal linear-quadratic controller synthesis to nonlinear-nonquadratic optimal finite-time, partial-state stabilization.
Recently, Wang and Wen [10] considered the partial finite sums of the reciprocal Fibonacci numbers and strengthened Theorem 1.1 and Theorem 1.2 to the finite-sum case.
So "metaphysics," in this sense, amounts to a kind of intellectualized, theoretically elaborated attempt at turning partial, finite experiences into a comprehensive view of nature and human experience.
Recently, Wu and Wang [13] studied the partial finite sum of the reciprocal Fibonacci numbers and deduced the following main result.
Write better and faster with AI suggestions while staying true to your unique style.
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