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 regurgitation …

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 disease has spread …

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 Clinic is the No. …

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 the hormones …

@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 won't …

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 series. I …