claim: Boeing 787 Dreamliner is an air vessel.
evidence: In applied mathematics , Hessian automatic differentiation are techniques based on automatic differentiation -LRB- AD -RRB-. applied mathematics. applied mathematics. automatic differentiation. automatic differentiation. that calculate the second derivative of an - dimensional function , known as the Hessian matrix .. Hessian matrix. Hessian matrix. When examining a function in a neighborhood of a point , one can discard many complicated global aspects of the function and accurately approximate it with simpler functions .. The quadratic approximation is the best-fitting quadratic in the neighborhood of a point , and is frequently used in engineering and science .. To calculate the quadratic approximation , one must first calculate its gradient and Hessian matrix .. Hessian matrix. Hessian matrix. Let , for each the Hessian matrix is the second order derivative and is a symmetric matrix .. Hessian matrix. Hessian matrix