Linear B is a syllabic script that was used for writing Mycenaean Greek, an early form of Greek. The script pre-dated the Greek alphabet by several centuries. A recent finding of the oldest Mycenaean writing dates to about 1450 BC. Linear B, found mainly in the palace archives at Knossos, Cydonia,Pylos, Thebes and Mycenae, disappeared with the fall of Mycenaean civilization. The succeeding period, known as the Greek Dark Ages, provides no evidence of the use of writing.

The script appears related to Linear A, an undeciphered earlier script used for writing the Minoan language, and the later Cypriot syllabary, which recorded Greek. Linear B consists of around 87 syllabic signs and a large repertory of ideographic signs. These ideograms or "signifying" signs stand for objects or commodities, but do not have phonetic value and are never used as word signs in writing a sentence.

The application of Linear B seems to have been confined to administrative contexts. In all the thousands of clay tablets, a relatively small number of different "hands" have been detected: 45 in Pylos (west coast of the Peloponnese, in southern Greece) and 66 in Knossos (Crete). From this fact it could be thought that the script was used only by a guild of professional scribes who served the central palaces. Once the palaces were destroyed, the script disappeared.

In mathematics, a linear map or linear function f(x) is a function which satisfies the following two properties:

It can be shown that additivity implies the homogeneity in all cases where α is rational; this is done by proving the case where α is a natural number by mathematical induction and then extending the result to arbitrary rational numbers. If f is assumed to be continuous as well then this can be extended to show that homogeneity for α any real number, using the fact that rationals form a dense subset of the reals.

In this definition, x is not necessarily a real number, but can in general be a member of any vector space. A less restrictive definition of linear function, not coinciding with the definition of linear map, is used in elementary mathematics.

The concept of linearity can be extended to linear operators. Important examples of linear operators include the derivative considered as a differential operator, and many constructed from it, such as del and the Laplacian. When a differential equation can be expressed in linear form, it is particularly easy to solve by breaking the equation up into smaller pieces, solving each of those pieces, and adding the solutions up.

Geoffrey Horrocks is a British mathematician whose work on vector bundles has been important for the ADHM construction.

He was a professor at Newcastle University until his retirement in 1998.

Michael George Francis Ventris, OBE (12 July 1922 – 6 September 1956) was an English architect who, along with John Chadwick and Alice Kober, deciphered Linear B, a previously unknown ancient script discovered at Knossos by Arthur Evans. A prodigy in languages, Ventris had pursued the decipherment as an avocation since his teen-age years. After creating a new field of study, Ventris was tragically killed in an automobile accident a few weeks before publication of its first definitive work, Documents in Mycenaean Greek.

Ventris was born into a traditional army family then coming to an end. His grandfather and father, both named Edward Francis Vereka Ventris, reached the ranks of Major General and Lieutenant Colonel, respectively. The younger might have gone further, but he contracted tuberculosis and retired. Both men served in the Middle and Far East, the younger especially in India. During one of his stays in England, Michael's future father married Anna Dorothea Janasz (Dora), the daughter of a wealthy immigrant landholder from Poland. Her photographs reveal a slender, dark-haired beauty. They had one child, Michael.

Alice Kober (December 23, 1906 in New York City – May 16, 1950) was an American classical scholar and archaeologist best known for laying the groundwork for the decipherment of Linear B.

Starting in the early 1940s, Kober conducted her studies of Linear B while an assistant to Sir John Myres. At the time, it was agreed that the writing direction of Linear B was from left to right. Most of the known clay tablets were inventory data which contributed to the early decipherment of the counting system. The number of distinct characters that had been identified – 90 – indicated a syllabary writing system. Arthur Evans also suggested that the language used inflection. While some scholars suspected it might be related to Greek or a Cypriot language, most assumed Linear B was an unknown Cretan language.

Since World War II rationing had made paper rare, Kober cut her 2" x 3" (5 x 7 cm) note cards from any paper she could find, including flyers, books, and envelopes. She filled over 186,000 note cards with information about occurrences of the 90 Linear B characters.