Information: - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - Quantity is a property that can exist as a magnitude or multitude. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value in terms of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum. - A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories, intensional definitions (which try to give the essence of a term) and extensional definitions (which proceed by listing the objects that a term describes). Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions. - Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework. - In mathematics, and in particular linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose is its negation; that is, it satisfies the condition If the entry in the and is "a", i.e. then the skew symmetric condition is For example, the following matrix is skew-symmetric: - In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as A (also written A, A, A or A). It is achieved by any one of the following equivalent actions: - In mathematics , a Hamiltonian matrix is a 2n - by - 2n matrix A such that JA is symmetric , where J is the skew - symmetric matrix J = \ begin ( bmatrix ) 0 & I_n \ \ - I_n & 0 \ \ \ end ( bmatrix ) and In is the n - by - n identity matrix . In other words , A is Hamiltonian if and only if ( JA ) T = JA where ( ) T denotes the transpose . - Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. It includes the study of lines, planes, and subspaces, but is also concerned with properties common to all vector spaces. - In mathematics, a square matrix is a matrix with the same number of rows and columns. An "n"-by-"n" matrix is known as a square matrix of order "n". Any two square matrices of the same order can be added and multiplied. What is the relationship between 'hamiltonian matrix' and 'square matrix'?
----
Answer: subclass of
Information: - Kentucky Route 39 ( KY 39 ) is a state highway in the U.S. state of Kentucky . The route , part of the State Secondary System , exists in two segments , separated at the Madison - Jessamine county line by the Kentucky River . While there is a boat ramp on each side , there is no bridge or ferry carrying vehicular traffic across the waterway . The southernmost terminus of the route is at Kentucky Route 1247 in Somerset . The northernmost terminus is at U.S. Route 27 Business and Kentucky Route 29 in Nicholasville . The northern terminus of the southern segment is at Kentucky Route 563 in Garrard County 1.5 miles ( 2.4 km ) south of the Kentucky River . Although KY 39 ends , the roadway continues north to the south bank of the river at the confluence of Paint Lick Creek ; there is a concrete boat landing at the site of an old ferry crossing . The segment between Lancaster and the river is locally called Buckeye Pike . The southern terminus of the northern segment is at the boat launch on the north bank . - High Bridge is a small unincorporated community in Jessamine County, Kentucky, United States. It lies along the lower reaches of the Kentucky River near the confluence of the Dix River with the Kentucky. The community is part of the LexingtonFayette Metropolitan Statistical Area. - Asbury Theological Seminary is an evangelical, multi-denominational, graduate institution that offers a variety of master's degree and postgraduate degree programs through the schools of Biblical Interpretation and Proclamation, Theology and Formation, Practical Theology, World Mission and Evangelism, and Postgraduate Studies. The main campus is located in Wilmore, Kentucky, near Lexington. - Kentucky Route 29 (KY 29) is an state highway located entirely within Jessamine County in the U.S. state of Kentucky. The highway, maintained by the Kentucky Transportation Cabinet, runs north from High Bridge, Kentucky through Wilmore before ending at Nicholasville. Within Wilmore, KY 29 intersects Kentucky Route 1268 and junctions with Kentucky Route 3433. The highway acts as the border between Asbury University and Asbury Theological Seminary. Just north of Wilmore, KY 29 merges with U.S. Route 68 for before leaving US 68 and turning east heading towards Nicholasville. KY 29 terminates at Kentucky Route 39 and U.S. Route 27 Business in downtown Nicholasville. What is the relationship between 'kentucky route 39' and 'kentucky transportation cabinet'?
----
Answer:
maintained by