In the notation of the proof of Theorem 12, let us take a look at the special case in which the minimal polynomial for T is a product of first-degree polynomials, i.e., the case in which each Af is of the form Af.

An abugida ( from Ge ‘ ez አቡጊዳ ’ äbugida ), also called an alphasyllabary, is a segmental writing system in which consonant – vowel sequences are written as a unit: each unit is based on a consonant letter, and vowel notation is secondary.

The same notation is used with sets to denote cardinality ; the meaning depends on context.

In mathematical notation, this is:

In X-ray notation, the principal quantum number is given a letter associated with it.

The numeral system employed, known as algorism, is positional decimal notation.

As in so many programming languages, the operation ( V, x ) is often written V ← x ( or some similar notation ), and ( V ) is implied whenever a variable V is used in a context where a value is required.

( b ) illustrates the same process using spectroscopic notation,. The Auger effect () is a physical phenomenon in which the filling of an inner-shell vacancy of an atom is accompanied by the emission of an electron from the same atom.

If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).

Either approach is adequate for most uses, provided that one attends to the necessary changes in language, notation, and the definitions of concepts like restrictions, composition, inverse relation, and so on.

In quantum mechanics, Bra-ket notation is a standard notation for describing quantum states, composed of angle brackets and vertical bars.

The notation was introduced in 1939 by Paul Dirac and is also known as Dirac notation, though the notation has precursors in Grassmann's use of the notation for his inner products nearly 100 years previously.

Bra-ket notation is widespread in quantum mechanics: almost every phenomenon that is explained using quantum mechanics — including a large portion of modern physics — is usually explained with the help of bra-ket notation.

The set of all congruence classes modulo n is denoted or ( the alternate notation is not recommended because of the possible confusion with the set of n-adic integers ).

This notation is now universal and is recommended by the IUPAC.

* " Did Not Play " a notation used in sports in a box score or a roster listing

For purposes of recording the moves that are played in the game, it is sufficient to employ an algebraic form of notation, as in Chess, and write the names of the pieces and the squares they are to be placed in.

* Chess notation

Category: Chess notation

FEN notation is critical for recording games in chess variants such as Chess960 ( also known as Fischer Random Chess ), where the initial position is not necessarily the traditional initial position.

* Chess notation

Category: Chess notation

Page from Chess Player's Chronicle in a style of descriptive notation

* Chess notation, to represent moves in a game of chess

White must respond to the attack on his e-pawn ( For explanation of notation, see Chess Opening Theory Table ).

Category: Chess notation

Chess notation is the term for several systems that have developed to record either the moves made during a game of chess or the position of the pieces on a chess board.

The U. S. Chess Federation prefers the use of algebraic notation but still permits descriptive notation.

The Miscellaneous Symbols Unicode block ( 2600 – 26FF ) contains various glyphs representing things from a variety of categories: Astrological, Astronomical, Chess, Dice, Ideological symbols, Musical notation, Political symbols, Recycling, Religious symbols, Trigrams, Warning signs and Weather.

* Chess notation

Category: Chess notation

No human being can write fast enough, or long enough, or small enough † ( †" smaller and smaller without limit ... you'd be trying to write on molecules, on atoms, on electrons ") to list all members of an enumerably infinite set by writing out their names, one after another, in some notation.

Algorithms can be expressed in many kinds of notation, including natural languages, pseudocode, flowcharts, programming languages or control tables ( processed by interpreters ).

The notation was introduced by Karl Weierstrass in 1841.

signal " from the notation made by a volunteer on the project.

The system was revolutionary by including a zero and positional notation.

The decimal point notation was introduced by Sind ibn Ali, he also wrote the earliest treatise on Arabic numerals.

The first programmable computer built by Konrad Zuse used binary notation for numbers.

Binary operations are often written using infix notation such as a * b, a + b, a · b or ( by juxtaposition with no symbol ) ab rather than by functional notation of the form f ( a, b ).

* Given any combination of complex numbers, bras, kets, inner products, outer products, and / or linear operators, written in bra-ket notation, its Hermitian conjugate can be computed by reversing the order of the components, and taking the Hermitian conjugate of each.

The notation aspect of the Booch method has now been superseded by the Unified Modeling Language ( UML ), which features graphical elements from the Booch method along with elements from the object-modeling technique ( OMT ) and object-oriented software engineering ( OOSE ).

The notation was introduced by Andreas von Ettingshausen in 1826, although the numbers were already known centuries before that ( see Pascal's triangle ).

Primary sources include more than three hundred choreographies in Beauchamp-Feuillet notation, as well as manuals by Raoul Auger Feuillet and Pierre Rameau in France, Kellom Tomlinson and John Weaver in England, and Gottfried Taubert in Germany.

Since the elements can be uniquely sequenced by atomic number, conventionally from lowest to highest ( as in a periodic table ), sets of elements are sometimes specified by such notation as " through ", " beyond ", or " from ... through ", as in " through iron ", " beyond uranium ", or " from lanthanum through lutetium ".

The current system of chemical notation was invented by Berzelius.

The CE / BCE notation has been adopted by numerous authors and publishers wishing to be

Among the reasons given by those who oppose the use of Common Era notation is that it is selective as other aspects of the Western calendar have origins in various belief systems ( e. g., January is named for Janus ), Style guides for academic texts on religion generally prefer BCE / CE to BC / AD.