Ques: 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. After reading the paragraphs above, choose the best answer for the entity that related to 'hamiltonian matrix' with the relationship of 'subclass of'. Choices: - category - change - column - concept - definition - direction - entity - essence - greek - knowledge - learning - linear algebra - mathematics - matrix - number - operator - out - phrase - position - property - quantity - set - space - square matrix - statement - structure - word
Ans: square matrix

Ques: Information: - Top 40 is a music industry shorthand for the currently most-popular songs in a particular genre. When used without qualification it refers to the best-selling or most frequently broadcast popular music. The term is derived from record music charts, a few of which traditionally consist of a total of 40 songs. Top 40 is also an alternative term for the radio format of such music, also known as Contemporary hit radio. - WKRP in Cincinnati is an American sitcom that featured the misadventures of the staff of a struggling fictional radio station in Cincinnati, Ohio. The show was created by Hugh Wilson and was based upon his experiences working in advertising sales at Top 40 radio station WQXI in Atlanta. Many of the characters and even some of the stories (including season 1 episode 7, "Turkeys Away") are based on people and events at WQXI. - Cincinnati is a city in the U.S. state of Ohio that serves as county seat of Hamilton County. Settled in 1788, the city is located on the north side of the confluence of the Licking with the Ohio River. With a population of 298,550, Cincinnati is the third-largest city in Ohio and the 65th-largest city in the United States. Its metropolitan statistical area is the 28th-largest in the United States and the largest centered in Ohio. The city is also part of the larger CincinnatiMiddletownWilmington combined statistical area, which had a population of 2,172,191 in the 2010 census. - The Great Lakes (also called the Laurentian Great Lakes, or the Great Lakes of North America) are a series of interconnected freshwater lakes located primarily in the upper mid-east region of North America, on the CanadaUnited States border, which connect to the Atlantic Ocean through the Saint Lawrence River. Consisting of Lakes Superior, Michigan, Huron (or MichiganHuron), Erie, and Ontario, they form the largest group of freshwater lakes on Earth, containing 21% of the world's surface fresh water by volume. The total surface is , and the total volume (measured at the low water datum) is . Due to their sea-like characteristics (rolling waves, sustained winds, strong currents, great depths, and distant horizons) the five Great Lakes have also long been referred to as "inland seas". Lake Superior is the second largest lake in the world by area, and Lake Michigan is the largest lake that is entirely within one country. The southern half of the Great Lakes is bordered by the Great Lakes Megalopolis. - A situation comedy, or sitcom, is a genre of comedy centered on a fixed set of characters who carry over from episode to episode. Sitcoms can be contrasted with sketch comedy where a troupe may use new characters in each sketch, and stand-up comedy where a comedian tells jokes and stories to an audience. Sitcoms originated in radio, but today are found mostly on television as one9 of its dominant narrative forms. This form can also include mockumentaries. - Ohio is an Eastern state in the Great Lakes region of the United States. Ohio is the 34th largest by area, the 7th most populous, and the 10th most densely populated of the 50 United States. The state's capital and largest city is Columbus. - WKRP in Cincinnati is an American situation comedy television series that features the misadventures of the staff of a struggling fictional radio station in Cincinnati , Ohio . The series was created by Hugh Wilson and originally aired on the CBS network from September 1978 to April 1982 . After reading the paragraphs above, choose the best answer for the entity that related to 'list of wkrp in cincinnati episodes' with the relationship of 'is a list of'. Choices: - city - county - episode - genre - lake - music - narrative - record - river - state - station - term
Ans:
episode