The notation was introduced by Karl Weierstrass in 1841.

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 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 was designed to facilitate the formal manipulation of linear-algebraic expressions.

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

Here, the idea was to map mathematical notation to a natural number ( using a Gödel numbering ).

The current system of chemical notation was invented by Berzelius.

because it does not explicitly make use of religious titles for Jesus, such as " Christ " and Domin-(" Lord "), which are used in the BC / AD notation, nor does it give implicit expression to the Christian creed that Jesus was the Christ.

In some communist states during the Cold War period, usage of non-religious notation was mandated.

Although Xenakis could well have composed this music by hand, the intensity of the calculations needed to transform probabilistic mathematics into musical notation was best left to the number-crunching power of the computer.

While his system was less " scientific " than that of J. P. Lesley, it's other key features – notation, specificity, and versatility – make it deserving of the praise it has received.

There was a notation in use like ' tenth-metre ', meaning the tenth decimal of the metre, currently an Angstrom.

The example above shows a notation named " type-image-svg " that references the standard public FPI and the system identifier ( the standard URI ) of an SVG 1. 1 document, instead of specifying just a system identifier as in the first example ( which was a relative URI interpreted locally as a MIME type ).

Other notational traditions do exist ; Italian solo music is typically written at the sounding pitch, and the " old " German method sounded an octave below where notation except in the treble clef, where the music was written at pitch.

He was the first person to use algebraic notation and symbolism.

Some of the limitations of Diophantus ' notation are that he only had notation for one unknown and, when problems involved more than a single unknown, Diophantus was reduced to expressing " first unknown ", " second unknown ", etc.

Western musical notation was originally created to preserve the lines of Gregorian chant, which before its invention was taught as an oral tradition in monastic communities.

The only element lacking for the creation of these fields was an efficient algebraic notation in which to express his concepts.

His notation for the cardinal numbers was the Hebrew letter ( aleph ) with a natural number subscript ; for the ordinals he employed the Greek letter ω ( omega ).

The abacus had fallen out of use in western Europe in the 16th century with the rise of decimal notation and algorismic methods.

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

Schweitzer, who insisted that the score should show Bach's notation with no additional markings, wrote the commentaries for the Preludes and Fugues, and Widor those for the Sonatas and Concertos: six volumes were published in 1912 – 14.

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

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 ).

Binary operations sometimes use prefix or ( probably more often ) postfix notation, both of which dispense with parentheses.

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.

Some properties of this notation are convenient since we are dealing with linear operators and composition acts like a ring multiplication.

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 ).

This retains only the broad outlines of Bliss's scheme, replacing most of the detailed notation with a new scheme based on the principles of faceted classification.

A modern classification for libraries, with simple notation, mnemonics, and alternatives.

The Cantigas de Santa Maria (" Canticles of Holy Mary ";, ) are 420 poems with musical notation, written in Galician-Portuguese during the reign of Alfonso X El Sabio ( 1221 – 1284 ) and often attributed to him.

A production rule in is formalized mathematically as a pair, where is a non-terminal and is a string of variables and nonterminals ; rather than using ordered pair notation, production rules are usually written using an arrow operator with as its left hand side and as its right hand side:

Music produced with notation or sequencing software could easily be considered computer-aided composition.

Especially if one deals with multiple commutators, another notation turns out to be useful involving the adjoint representation:

Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").

The same classification would later be used, but with a different notation, also devised by Cutter, at the Cary Library in Lexington.

This result agrees with the previous section, though the notation is slightly different.

where the notation ρ is used to describe the distance of the path from the origin instead of R to emphasize that this distance is not fixed, but varies with time.

The $ 395 HP-35, along with nearly all later HP engineering calculators, used reverse Polish notation ( RPN ), also called postfix notation.

The successor of B3-21, the Elektronika B3-34 wasn't backward compatible with B3-21, even if it kept the reverse Polish notation ( RPN ).

Calculated Industries competed with the HP 12c in the mortgage and real estate markets by differentiating the key labeling ; changing the “ I ”, “ PV ”, “ FV ” to easier labeling terms such as " Int ", " Term ", " Pmt ", and not using the reverse Polish notation.