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He developed a metaphysical dualism that distinguishes radically between mind, the essence of which is thinking, and matter, the essence of which is extension in three dimensions.
Thus far we have seen that Leibniz rejected the Cartesian account of matter, according to which matter, the essence of which is extension, could be considered a substance.
In what follows, we shall study the approximation properties of the operators M n,q (f; z), which is extension of the results studied in [10].
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which is extensions involving fractional derivatives and fractional integrals.
In this section, we extend the local Poincaré type inequalities into the global cases in the following L φ -averaging domains, which are extension of John domains and L s -averaging domain, see [15, 16].
Next, we extend the local Poincaré-type inequality into the global case in L ϕ -averaging domain, which are extension of John domains and L s -averaging domain, for more details see [5, 8, 9].
In real Banach space, we define new concepts of generalized invexity for non-differentiable functions and generalized invariant monotonicity for set-valued mappings which are extension and improvement of the corresponding definitions of [8, 9].
Instead, they enter their cars, which are extensions of the home.
The brain works by an electrochemical process in which information, including memory, is passed through billions of dendrites, which are extensions of neuron cells (like the branches of a tree).
Inequalities (1.6) and (1.8) are the equivalent forms of (1.5) and (1.7), which are extensions of (1.4).
Kawachi [11] proposed and mathematically analyzed deterministic models for rumor transmission, which are extensions of the deterministic D-K model.
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