parametrically's Usage Examples:

Thus, if a particle's position is described parametrically as r ( t ) = ( x ( t ) , y ( t ) , z ( t ) ) {\displaystyle \mathbf.

is minimal only if the parametrically definable subsets of its domain cannot be avoided, because they are already parametrically definable in the pure.

theory, parametricity is an abstract uniformity property enjoyed by parametrically polymorphic functions, which captures the intuition that all instances.

This is achieved by adding constraints to type variables in parametrically polymorphic types.

alternatives for choice or the mode of selection guiding choice varies parametrically[clarification needed] with what collection of alternatives is available.

equation) a 2-dimensional Newton iteration b) one implicitly and the other parametrically given a 1-dimensional Newton iteration is necessary.

The rational normal curve may be given parametrically as the image of the map ν : P 1 → P n {\displaystyle \nu :\mathbf {P}.

eccentricity k {\displaystyle \scriptstyle {k}} (the ellipse being defined parametrically by x = 1 − k 2 cos ⁡ ( t ) {\displaystyle \scriptstyle {x={\sqrt {1-k^{2}}}\cos(t)}}.

Because of (1) any conoid is a Catalan surface and can be represented parametrically by x ( u , v ) = c ( u ) + v r ( u )   , {\displaystyle \mathbf {x}.

Oscillons have also been experimentally observed in thin parametrically vibrated layers of viscous fluid and colloidal suspensions.

regression spline of a variable) or may be specified non-parametrically, or semi-parametrically, simply as 'smooth functions', to be estimated by non-parametric.

Milner–Mycroft typability or the Milner–Mycroft calculus) refers to a recursive parametrically polymorphic function where the type parameter changes with each recursive.

following example in Haskell shows a parameterized list data type and two parametrically polymorphic functions on them: data List a = Nil | Cons a (List a) length.

Parametric resonance occurs in a mechanical system when a system is parametrically excited and oscillates at one of its resonant frequencies.

closed ribbon the curves X + ε U {\displaystyle X+\varepsilon U} given parametrically by X ( s ) + ε U ( s ) {\displaystyle X(s)+\varepsilon U(s)} are, for.

defined parametrically by x = x ( t ) , y = y ( t ) {\displaystyle x=x(t),\qquad y=y(t)} with respect to the same circle is given parametrically as X =.

Kansei engineering parametrically links the customer's emotional responses (i.

Enneper surface is a self-intersecting surface that can be described parametrically by: x = u ( 1 − u 2 / 3 + v 2 ) / 3 ,   {\displaystyle x=u(1-u^{2}/3+v^{2})/3.