If a problem or disease affecting other areas of the heart cause a leaky mitral valve, the condition is called functional or secondary mitral regurgitation. Possible causes of mitral valve …

The following is paraphrased from Introduction to integral equations with applications by Abdul Jerri: Let $F$ be a functional with domain $D$. Start with $F(x,t,u(t ...

On June 4th, we will be covering an emerging epidemic:Lyme Disease.Discovered first in nearby Lyme, Connecticut in the 1970s, this disease has mainstream medicine stumped as the …

The right answers the first time Effective treatment depends on getting the right diagnosis. Our experts diagnose and treat the toughest medical challenges. The world's best hospital Mayo …

Oct 18, 2018 · You can find this exact result in the book "Linear and Nonlinear Functional Analysis with Applications" by Ciarlet, see Theorem 9.14. Also in the german book "Nichtlineare …

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Jul 28, 2023 · These are called functional cysts. Other types of cysts are much less common. Functional cysts Your ovaries grow small cysts called follicles each month. Follicles produce …

@supinf what he's doing is the standard method for optimizing functionals with constraints via the calculus of variations and Lagrange multipliers. See here for details. That being said, the tool …

Jun 29, 2024 · Learn about the signs, symptoms and causes of pituitary tumors — growths that develop in the pituitary gland.

Mar 28, 2018 · A functional is a linear transform. In a fair and just world, the first derivative (with respect to what, exactly?) should be constant. This seems like a relatively uninteresting Taylor …