Sentence examples for form is defined as from inspiring English sources
In this connection, a generalized Sasakian space form is defined as follows.
The sporadic form is defined as "a migraine with aura including motor weakness but with no first or second degree relative with aura including motor weakness" [1].
Then the corresponding Kuhfittig iteration in a compact form is defined as follows: x 0 ∈ K, x n + 1 = W ( x n, T k U k − 1 x n, λ ), n ≥ 0. (1.1).
The squared norm of the second fundamental form is defined as |h|^{2}=bigl| hbigl(mathcal{D}^{theta}, mathcal{D}^{theta}bigr bigr| ^{2}+bigl| hbigl(mathcal {D}^{perp}, mathcal{D}^{perp} bigr bigr| ^{2}+2bigl| hbigl(mathcal{D}^{theta}, mathcal{D}^{perp} bigr bigr| ^{2}.
where n is the dimension of M and {e1, e2,..., e n } is a local orthonormal frame of vector fields on M. The squared norm of the second fundamental form is defined as ∥ h ∥ 2 = ∑ i, j = 1 n g ( h ( e i, e j ), h ( e i, e j ) ).
The derivative operator (D^{alpha}) (the Malliavin derivative) of functionals F of the above form is defined as D^{alpha}F=sum_{j=1}^{n} frac{partial f}{partial x_{j}}bigl(W^{alpha} varphi_{1}),W^{alpha}( varphi_{2}), ldots,W^{alpha} varphi_{n} bigr) varphi_{j}.
Bringing all these considerations together Aristotle defines the good prose style, i.e. the virtue of prose style, as follows: "Let the virtue of linguistic form be defined as being clear, for since the logos is a (linguistic, sc).
Severe form was defined as the hyperechogenic visualization of both the posterior and internal wall of the sinus as a border of hypoechogenic sinus cavity.
Participants who reported administering naloxone during an overdose rescue attempt, but who had not previously completed an enrollment form, were defined as untrained at the time of the rescue attempt.
