"actually satisfy" is correct and usable in written English.
It is used to express that something is truly or genuinely satisfying, rather than just appearing to be satisfying. Example: "I thought buying a new car would make me happy, but it didn't actually satisfy me like I thought it would."
If X⊂Y are two classes of analytic functions in the unit disk D and θ is an inner function, θ is said to be (X,Y -improving, if every function f∈X,Y -improvingθ∈Y must actually satiffy fθ∈X.
If every function f ∈ X satisfying f θ ∈ Y must actually satisfy f θ ∈ X, then θ is said to be ( X, Y ) -improving.
Suppose X and Y are two classes of analytic functions on D, and X ⊆ Y. Let θ be an inner function, θ is said to be ( X, Y ) -improving, if every function f ∈ X satisfying f θ ∈ Y must actually satisfy f θ ∈ X.
Although for Crouzeix-Raviart type IFE functions in (widehat{S}_{h}( T)) the flux jump condition is enforced on the line segment (overline {DE}), they actually satisfy a weak flux jump condition along the actual interface curve (Gammacap T), which is stated in the following lemma.
Much of life is, of course, more complex than this, in part because one often has to choose between competing preferences and estimate how likely it is that one can actually satisfy them in the circumstances one takes oneself to be in.
What will actually satisfy Abramovich?
I wrote all of the Common App and Stanford University supplement essays and was actually satisfied with them.
The goal is "figuring out how to make it so that the divorce rate goes down and that it becomes the norm for people to feel like their relationship actually satisfies their existential hope".
A new report finds that "63 percent of those who are self-employed would not consider changing jobs in the next 12 months, but less than half (48 percent) are actually satisfied with their job, and only 28 percent would recommend self-employment to others".
It is not shown that the resulting object actually satisfies any integral equation.
The condition (m gg p) is actually satisfied for a non-woven fibrous sheet examined in Section 4.
