In mathematics, a Hessian pair or Hessian duad, named for Otto Hesse, is a pair of points of the projective line canonically associated with a set of 3 points of the projective line. More generally, one can define the Hessian pair of any triple of elements from a set that can be identified with a projective line, such as a rational curve, a pencil of divisors, a pencil of lines, and so on.
In mathematics, a Hessianpair or Hessian duad, named for Otto Hesse, is a pair of points of the projective line canonically associated with a set of...
analysis Hessian automatic differentiation Hessian equations, partial differential equations (PDEs) based on the Hessian matrix Hessianpair or Hessian duad...
invariants, and geometry. The Hessian matrix, the Hesse normal form, the Hesse configuration, the Hessian group, Hessianpairs, Hesse's theorem, Hesse pencil...
the function's Hessian matrix at that point: if the Hessian is indefinite, then that point is a saddle point. For example, the Hessian matrix of the function...
The Dirty Pair is an original English-language manga written and illustrated by Adam Warren, based on the original Dirty Pair characters created by Haruka...
type of waterproof boot. Originally a type of leather boot adapted from Hessian boots, a style of military riding boot, they were worn and popularised...
The Hessian point is a point associated to three lines tangent to a conic, whose construction is dual to that of a Hessian line. 4. The Hessianpair or...
appear in plural form—much like the words scissors and tongs, and as such pair of trousers is the usual correct form. However, the singular form is used...
Small figures at the front also became popular; in America cast flat "Hessian" soldiers were a long-lasting favourite. In Continental Europe, men such...
definiteness of the Hessian matrix: If the Hessian is positive definite at a critical point, then the point is a local minimum; if the Hessian matrix is negative...
an odd plural spelling of "body" and comes from an older garment called a pair of bodies (because the garment was originally made in two separate pieces...
In geometry, the Hessian polyhedron is a regular complex polyhedron 3{3}3{3}3, , in C 3 {\displaystyle \mathbb {C} ^{3}} . It has 27 vertices, 72 3{}...
pencil; this is the Hessian form of an elliptic curve. However, the parameters ( λ , μ {\displaystyle \lambda ,\mu } ) of the Hessian form may belong to...
residence befitting a daughter of Queen Victoria with the low Hessian funds. The pair were given a house in Darmstadt's "Old Quarter", which overlooked...
Compliance constants are the elements of an inverted Hessian matrix. The calculation of compliance constants provides an alternative description of chemical...
because of a character known as the Headless Horseman believed to be a Hessian soldier who was decapitated by a cannonball in battle. It has been adapted...
interest points, SURF uses an integer approximation of the determinant of Hessian blob detector, which can be computed with 3 integer operations using a...
gingham, and calico. The enterprise was named after the "gunny sack" (hessian/burlap bag) or trim used on some of the earlier dresses. Gunne Sax also...
curve in a pencil of curves generated by C and by the Hessian curve of C, the Hesse pencil. The Hessian polyhedron is a representation of the Hesse configuration...
function of several variables is convex on a convex set if and only if its Hessian matrix of second partial derivatives is positive semidefinite on the interior...
one free parameter K, which can be chosen by cross validation. Like LLE, Hessian LLE is also based on sparse matrix techniques. It tends to yield results...
polytopes, also with 240 vertices. Each complex Witting polytope is made of Hessian polyhedral cells that have Möbius–Kantor polygons as faces, each with eight...
Hessian, /d/ is frequently realised as [ɾ] in intervocalic position. The change also occurs in Mecklenburg dialects. Compare Borrem (Central Hessian)...
calculate hypergradients and proposes a stable approximation of the inverse Hessian. The method scales to millions of hyperparameters and requires constant...
{\frac {\partial E}{\partial w_{ij}}}=-\eta o_{i}\delta _{j}} Using a Hessian matrix of second-order derivatives of the error function, the Levenberg–Marquardt...
taken down not only "those vile Prussian banners" but also those of her Hessian relations who were, in her opinion, "simply soldiers or vassals under that...
among cavalry until the late 18th century when they were replaced with the Hessian boots popularised by Prussian king Frederick the Great. Cavalier boots...
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