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) Hessians ( or ) were German soldiers who served as auxiliaries to the British Army during the American Revolutionary War. The term is an American synecdoche for all Germans who fought on the British side, since 65% came from the German states ...

, 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 E ...

, a style of boot **

Hessian fabric Hessian (, ), burlap in the United States and Canada, or crocus in Jamaica and the wider Caribbean, is a woven fabric usually made from skin of the jute plant or sisal fibres, which may be combined with other vegetable fibres to make rope, nets ...

, coarse woven material **

Hessian fly The Hessian fly or barley midge, ''Mayetiola destructor'', is a species of fly that is a significant pest of cereal crops including wheat, barley and rye. Though a native of Asia, upon its discovery it was believed to have been transported into ...

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 Hessian crucible is a type of ceramic crucible that was manufactured in the Hesse region of Germany from the late Middle Ages through the Renaissance period. They were renowned for their ability to withstand very high temperatures, rapid changes ...

, 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 Ludwig Otto Hesse (22 April 1811 – 4 August 1874) was a German mathematician. Hesse was born in Königsberg, Prussia, and died in Munich, Bavaria. He worked mainly on algebraic invariants, and geometry. The Hessian matrix, the Hesse nor ...

Hessian matrix In mathematics, the Hessian matrix or Hessian is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field. It describes the local curvature of a function of many variables. The Hessian matrix was developed ...

, in mathematics, is a matrix of second partial derivatives ** Hessian affine region detector, 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 In geometry, the Hessian curve is a plane curve similar to folium of Descartes. It is named after the German mathematician Otto Hesse. This curve was suggested for application in elliptic curve cryptography, because arithmetic in this curve represe ...

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 The American Revolution was an ideological and political revolution that occurred in British America between 1765 and 1791. The Americans in the Th ...

'', 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 (1891–1962), Canadian lawyer and political figure *

Toby Hessian Toby Hessian (born 17 June 1969) is a British lightweight rower. He was three times world champion; twice with the lightweight men's four (in 1991 in Vienna and in 1992 in Montreal) and once with the lightweight men's eight (in 1994 in Indianap ...

(born 1969), British rower

Named from the toponym

Named for Otto Hesse Ludwig Otto Hesse (22 April 1811 – 4 August 1874) was a German mathematician. Hesse was born in Königsberg, Prussia, and died in Munich, Bavaria. He worked mainly on algebraic invariants, and geometry. The Hessian matrix, the Hesse nor ...

Other uses

People with the name

See also

Named for
Otto Hesse Ludwig Otto Hesse (22 April 1811 – 4 August 1874) was a German mathematician. Hesse was born in Königsberg, Prussia, and died in Munich, Bavaria. He worked mainly on algebraic invariants, and geometry. The Hessian matrix, the Hesse nor ...