Exact(5)
These conditions are satisfied; the function if is an example.
are satisfied, the function g ( z ) is a hyperholomorphic function in Ω.
If it is satisfied, the function is defined by the von Mises distribution; otherwise, it shows 1 in any θ.
Suppose that there exists a disjoint pair I and J of { 1, 2, …, m } and x 0 ∈ X m such that the following conditions are satisfied: the function F : X m → X m is ( ≼ I, ≼ I ) -decreasing.
Given a disjoint pair I and J of { 1, 2, …, m }, suppose that there exists x 0 ∈ X m such that the following conditions are satisfied: the function F : ( X m, d, ≼ I ) → ( X m, d, ≼ I ) is ( ≼ I, ≼ I ) -decreasing; x 0 ≼ I F p ( x 0 ) or x 0 ≽ I F p ( x 0 ). the function F : ( X m, d, ≼ I ) → ( X m, d, ≼ I ) is ( ≼ I, ≼ I ) -decreasing; x 0 ≼ I F p ( x 0 ) or x 0 ≽ I F p ( x 0 ).
Similar(3)
Theorem 3.2 Assume that ( H 2 ′ ) and (H3) are satisfied, the functions g i ( ⋅, 0 ) are bounded.
To realize bidirectional transduction between neural tissue and neural microelectrodes, the electrode material must satisfy the function of stimulating and recording.
The function satisfies the functional equation (1.5) which is thus called a cubic functional equation.
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