A Hessian is an inhabitant of the German state of

Hesse Hesse or Hessen ( ), officially the State of Hesse (), is a States of Germany, state in Germany. Its capital city is Wiesbaden, and the largest urban area is Frankfurt, which is also the country's principal financial centre. Two other major hist ...

. 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, British Army in several major wars in the 18th century, most notably the American Revolutionary War. The term is a synecdoc ...

, eighteenth-century German regiments in service with the British Empire **

Hessian (boot) The Hessian boot (; from Hesse in Germany) is a style of light riding 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 ...

, a style of boot **

Hessian fabric Hessian (, ), burlap in North America, or crocus in Jamaica and the wider Caribbean, is a woven fabric made of vegetable fibres, usually the skin of the jute plant or sisal leaves. It is generally used (in the crude tow form known as gunny) ...

, coarse woven material **

Hessian fly The Hessian fly (''Mayetiola destructor''), or barley midge, 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 in ...

or barley midge, a species of fly (thought to be introduced by Hessian soldiers) *

Hessian dialects Hessian () 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 Palatine German language, Palatinate German () of the Rhine Franconian sub-family. However, ...

, 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 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 the end of the S ...

, 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 norma ...

Hessian matrix In mathematics, the Hessian matrix, Hessian or (less commonly) Hesse matrix is a square matrix of second-order partial derivatives of a scalar-valued Function (mathematics), function, or scalar field. It describes the local curvature of a functio ...

, 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 and image analysis. Like other feature detectors, the Hessian affine detector is typically used as a preprocessing step to algorithms that rely on ide ...

, 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. When examining a function in a neighbor ...

** 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 repres ...

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 finite field of 3 elements.He ...

Hessian polyhedron In geometry, the Hessian polyhedron is a regular complex polytope, regular complex polyhedron 333, , in \mathbb^3. It has 27 vertices, 72 3 edges, and 27 Möbius–Kantor polygon, 33 faces. It is self-dual. Harold Scott MacDonald Coxeter, Coxete ...

* 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, published by William Morrow and Company. Plot The book begins with an incident in 1781 when a small detachment of Hessian (German auxiliaries in th ...

'', a 1972 novel by Howard Fast

People with the name

* Patrick J. Hessian (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 As ...

(1891–1962), Canadian lawyer and political figure * Toby Hessian (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 norma ...

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 norma ...