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A Hessian is an inhabitant of the German state of
Hesse Hesse (, , ) or Hessia (, ; german: Hessen ), officially the State of Hessen (german: links=no, Land Hessen), is a States of Germany, state in Germany. Its capital city is Wiesbaden, and the largest urban area is Frankfurt. Two other major histor ...
. Hessian may also refer to:


Named from the toponym

* Hessian (soldier), eighteenth-century German regiments in service with the British Empire **
Hessian (boot) The Hessian (; from Hesse in Germany) is a style of light boot that became popular from the beginning of the 19th century. History and description First worn by German soldiers in the 18th century, these military riding boots became popular in En ...
, a style of boot ** Hessian fabric, coarse woven material ** Hessian fly or barley midge, a species of fly (thought to be introduced by Hessian soldiers) *
Hessian dialects Hessian (german: Hessisch) is a West Central German group of dialects of the German language in the central German state of Hesse. The dialect most similar to Hessian is Palatinate German (german: Pfälzisch, links=no) of the Rhine Franconian su ...
, West Central German group of dialects * Hessian crucible, a type of ceramic crucible *
Hessian Cup The Hesse Cup (German: ''Hessenpokal'') is one of the Verbandspokal, 21 regional cup competitions of German football. The winner of the competition gains entry to the first round of the German Cup. History The Cup was established in 1945, after th ...
, a regional cup competition in German football


Named for Otto Hesse

* Hessian matrix, in mathematics, is a matrix of second partial derivatives **
Hessian affine region detector The Hessian affine region detector is a feature detector used in the fields of computer vision Computer vision is an interdisciplinary scientific field that deals with how computers can gain high-level understanding from digital images or vi ...
, a feature detector used in the fields of computer vision and image analysis **
Hessian automatic differentiation In applied mathematics, Hessian automatic differentiation are techniques based on automatic differentiation (AD) that calculate the second derivative of an n-dimensional function, known as the Hessian matrix In mathematics, the Hessian matrix o ...
** Hessian equations, partial differential equations (PDEs) based on the Hessian matrix *
Hessian pair 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 ...
or Hessian duad in mathematics * Hessian form of an elliptic curve *
Hessian group In mathematics, the Hessian group is a finite group of order 216, introduced by who named it for Otto Hesse. It may be represented as the group of affine transformations with determinant 1 of the affine plane over the field of 3 elements.Hessian gr ...
*
Hessian polyhedron In geometry, the Hessian polyhedron is a regular complex polyhedron 333, , in \mathbb^3. It has 27 vertices, 72 3 edges, and 27 33 faces. It is self-dual. Coxeter named it after Ludwig Otto Hesse for sharing the ''Hessian configuration'' \left ...
* Glossary of classical algebraic geometry § Hessian, other mathematical objects called Hessian


Other uses

*
Hessian (Web service protocol) Hessian is a binary Web service protocol that makes Web services usable without requiring a large framework, and without learning a new set of protocols . Because it is a binary protocol, it is well-suited to sending binary data without any need ...
*''
The Hessian ''The Hessian'' is a 1972 novel by Howard Fast set in the time of the American Revolution. Plot The book begins with an incident in 1781 when a small detachment of Hessian (German auxiliaries in the British service) soldiers encounter a mentally ...
'', a 1972 novel by Howard Fast


People with the name

*
Patrick J. Hessian Patrick may refer to: *Patrick (given name), list of people and fictional characters with this name *Patrick (surname), list of people with this name People *Saint Patrick (c. 385–c. 461), Christian saint *Gilla Pátraic (died 1084), Patrick or ...
(1928–2007), United States Army officer *
Stephen Hessian Stephen Stanley Hessian (October 2, 1891 – November 5, 1962) was a lawyer and political figure on Prince Edward Island. He represented 5th Kings from 1920 to 1923 and 3rd Kings from 1935 to 1939 and from 1955 to 1962 in the Legislative Asse ...
(1891–1962), Canadian lawyer and political figure * Toby Hessian (born 1969), British rower


See also

* {{Disambiguation, surname Language and nationality disambiguation pages