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Type of notation used in engineering documentation
engineering, double-subscript notation is a notation used to indicate some variable between two points (each point being represented by one of the subscripts). In
Double_subscript_notation
Power supply connections for integrated circuits
and manufacturer. The double-subscript notation usually corresponds to a first letter in a given IC family (transistors) notation of the terminals (e.g
IC_power-supply_pin
Notation of differential calculus
analysis, or vector calculus—other notations, such as subscript notation or the ∇ operator are common. The most common notations for differentiation (and its
Notation_for_differentiation
First letter of the Latin alphabet
Phonetic Alphabet (UPA), sometimes encoded with Unicode subscripts and superscripts ⟨ₐ⟩: Subscript small a is used in Indo-European studies ⟨ꬱ⟩: Small letter
A
Concise notation for large or small numbers
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form, since to do so would require
Scientific_notation
Describes approximate behavior of a function
the +, − or ± subscripts), Vinogradov's ≪ {\displaystyle \ll } and ≫ {\displaystyle \gg } notations and ∼ {\displaystyle \sim } notations. The small omega
Big_O_notation
Diacritic mark to indicate sound shift
name. The International Phonetic Alphabet uses a double dot below a letter, a notation it calls "subscript umlaut" to indicate breathy (murmured) voice,
Umlaut_(diacritic)
Shorthand method to record math formulas that deal with interest rates and life tables
annuity-due and superscripts or subscripts to denote terms and ages. An international standard form of this notation was agreed by the actuarial profession
Actuarial_notation
System of phonetic notation
International Phonetic Alphabet (IPA) is an alphabetic system of phonetic notation based primarily on the Latin script. It was devised by the International
International Phonetic Alphabet
International_Phonetic_Alphabet
Mathematical symbols (+ and −)
a last name denotes a Bishop, and a double plus is used to denote an Archbishop. Chess: In the algebraic notation used to record games of chess, the plus
Plus_and_minus_signs
Instantaneous rate of change (mathematics)
they are usually denoted in Leibniz notation by adding superscripts to the differentials, and in prime notation by adding additional prime marks. Higher
Derivative
Atoms of the same element, but different mass
use "AZE notation" which has the form A ZE, where A is the mass number written as a superscript, Z is the atomic number written as a subscript, and E is
Isotope
Numbers significantly larger than those used regularly
top does not make sense, so the double-arrow notation (e.g. 10↑↑(7.21×108)) can be used. If the value after the double arrow is a very large number itself
Large_numbers
quabla. ∑ (capital-sigma notation) 1. Denotes the sum of a finite number of terms, which are determined by subscripts and superscripts (which can
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Notation for chemical compounds
element contained in a molecule of a compound by writing the number as a subscript for each element symbol, such as C4H10 for butane. There are conventions
Chemical_formula
Interval between one musical pitch and another with double its frequency
In scientific pitch notation, a specific octave is indicated by a numerical subscript number after note name. In this notation, middle C is C4, because
Octave
Punctuation mark
original on 30 December 2019. Retrieved 7 February 2016. "Superscripts and Subscripts Code Chart" (PDF). The Unicode Standard. Unicode Consortium. Archived
Bracket
Musical tuning based on pure intervals
(1877). The system used a combination of + and - signs in addition to subscript numbers. Carl Eitz developed a similar system which was adapted by J.
Just_intonation
Representation of isolatable musical sound
different octaves. Scientific pitch notation, where a pitch class letter (C, D, E, F, G, A, B) is followed by a subscript Arabic numeral designating a specific
Musical_note
upper case letters, and whole number subscripts. The group order is defined as the subscript, unless the order is doubled for symbols with a plus or minus
List of spherical symmetry groups
List_of_spherical_symmetry_groups
Typographic symbol
parameters in a function, for example f(x|μ,σ), or in the notation for elliptic integrals. The double vertical bar, ‖, is also employed in mathematics. Parallelism:
Vertical_bar
Origin and evolution of the symbols used to write equations and formulas
index notation around 1900. Georg Cantor introduced Aleph numbers, so named because they use the aleph symbol (א) with natural number subscripts to denote
History of mathematical notation
History_of_mathematical_notation
Numeral system developed by Cistercian monks
similarly for higher numbers), and Noviomagus in 1539 wrote "million" by subscripting ¬ "1,000" under another ¬ "1,000". A late-thirteenth-century Cistercian
Cistercian_numerals
Slanting line punctuation mark (/)
are often given using smaller numbers, superscript, and subscript (e.g., 23/43). This notation is responsible for the current form of the percent %, permille
Slash_(punctuation)
Study of mathematical knots
of prime knots). The notation simply organizes knots by their crossing number. One writes the crossing number with a subscript to denote its order amongst
Knot_theory
Arithmetical operation
multiplication index, that runs from the lower value 1 indicated in the subscript to the upper value 4 given by the superscript. The product is obtained
Multiplication
Mathematical identities
an arbitrary constant vector. In Feynman subscript notation, ∇𝐁(𝐀⋅𝐁)=𝐀×(∇×𝐁)+(𝐀⋅∇)𝐁 where the notation ∇B means the subscripted gradient operates
Vector_calculus_identities
Type of uncertainty of meaning where several interpretations are possible
n, although in the informal notation of a slide presentation it may stand for sin. Commas in multi-component subscripts and superscripts are sometimes
Ambiguity
Array of numbers
matrices from other mathematical objects. An alternative notation involves the use of a double-underline with the variable name, with or without boldface
Matrix_(mathematics)
Universal notation of DNA nucleotides
The nucleic acid notation currently in use was first formalized by the International Union of Pure and Applied Chemistry (IUPAC) in 1970. This universally
Nucleic_acid_notation
Third letter of the Greek alphabet
LETTER SMALL GREEK GAMMA U+1D67 ᵧ GREEK SUBSCRIPT SMALL LETTER GAMMA U+213D ℽ DOUBLE-STRUCK SMALL GAMMA U+213E ℾ DOUBLE-STRUCK CAPITAL GAMMA U+2C84 Ⲅ COPTIC
Gamma
Binary representation for signed numbers
x* = 2N − x. For example, to find the four-bit representation of −5 (subscripts denote the base of the representation): x = 510 therefore x = 01012 Hence
Two's_complement
Phonemic script for sign languages
Stokoe notation (/ˈstoʊki/ STOH-kee) is the first phonemic script used for sign languages. It was created by William Stokoe for American Sign Language
Stokoe_notation
Typeface style used in mathematics
blackboard, lecturers began writing bold symbols with certain doubled strokes. The notation caught on: blackboard bold spread from classroom to classroom
Blackboard_bold
Typographical symbol
usages. Some X-bar notations use a double prime (standing in for a double-bar) to indicate a phrasal level, indicated in most notations by "XP". The prime
Prime_(symbol)
Shorthand way for expressing a reaction in an electrochemical cell
for the phases of each species are often included as subscripts, in a manner similar to the notation in chemical equations. Sometimes, the initial concentrations
Cell_notation
Disordered speech additions to the phonetic alphabet
diacritics that are potentially available for extIPA transcription. The subscript dot for 'whisper' is sometimes found in IPA transcription, though in IPA
Extensions to the International Phonetic Alphabet
Extensions_to_the_International_Phonetic_Alphabet
Whole number
a numerical digit, 0 plays a crucial role in positional notation (i.e., place value notation): it means that the zero position does not increase or decrease
0
Character(s) for specifying the boundary between regions of data
aren't the only way to delineate data boundaries. For example, declarative notation indicates the length of a field at the start of the field instead of relying
Delimiter
Symmetry of molecules of chemical compounds
the notation used to label irreps in the above table is called Mulliken notation. For asymmetric groups it consists of letters A and B with subscripts 1
Molecular_symmetry
mathematics and science List of mathematical uses of Latin letters Unicode subscripts and superscripts Unicode symbols CJK Compatibility Unicode symbols includes
Mathematical operators and symbols in Unicode
Mathematical_operators_and_symbols_in_Unicode
Marks added to letters in Greek
(official since the 1960s), the grave was replaced by the acute, and the iota subscript and the breathings on the rho were abolished, except in printed texts
Greek_diacritics
Use of Roman Numeral symbols in the musical analysis of chords
chord's degree and harmonic function within a given musical key. Specific notation conventions vary: some theorists use uppercase numerals (e.g. I, IV, V)
Roman_numeral_analysis
Manner of production of speech sounds
as three tones. (The ad hoc diacritics employed in the source are a subscript double quotation mark for faucalized voice, [a͈], and underlining for harsh
Harsh_voice
Number expressed in the base-2 numeral system
100101 (a prefix indicating binary format) 1001012 (a subscript indicating base-2 (binary) notation) %100101 (a prefix indicating binary format; also known
Binary_number
Theorem in number theory
This article uses technical mathematical notation for logarithms. All instances of log(x) without a subscript base should be interpreted as a natural
Divergence of the sum of the reciprocals of the primes
Divergence_of_the_sum_of_the_reciprocals_of_the_primes
Diacritic that consists of two dots placed over a letter
This page uses IPA notation for orthographic or other linguistic analysis. For the meaning of how ⟨ ⟩, | |, / /, and [ ] are used here, see this page.
Two_dots_(diacritic)
This is a list of the notation used in Alfred North Whitehead and Bertrand Russell's Principia Mathematica (1910–1913). The second (but not the first)
Glossary of Principia Mathematica
Glossary_of_Principia_Mathematica
Norm on a vector space of matrices
called Schatten norms. Matrix norms are often denoted by double vertical bars with optional subscripts (e.g., ‖ A ‖ {\displaystyle \|A\|} or ‖ A ‖ 2 {\displaystyle
Matrix_norm
Braille encoding of the International Phonetic Alphabet
voiceless diacritic always being subscript, and the superscript indicating an engma in for example ⟨ᵑǃ⟩. Or braille click notation could substitute the proper
IPA_Braille
[distance2/time] the differential operator in Euler's calculus notation with a subscript, a dihedral group of that order or a dihedral group on a regular
Latin letters used in mathematics, science, and engineering
Latin_letters_used_in_mathematics,_science,_and_engineering
Algebraic object with geometric applications
or also by T i j. Whether an index is displayed as a superscript or subscript depends on the transformation properties of the tensor, described below
Tensor
Diagrams for the bonding between atoms of a molecule and lone pairs of electrons
formulas, many or even all of the covalent bonds may be left out, with subscripts indicating the number of identical groups attached to a particular atom
Lewis_structure
Difference between logarithm and harmonic series
uses technical mathematical notation for logarithms. All instances of log ( x ) {\displaystyle \log(x)} without a subscript base should be interpreted
Euler's_constant
Designation of an astronomical body after its discovery and before its official name
designations no longer exists in this packed-notation system, as the second letter is now listed after the subscript number, or its equivalent 2-digit code
Provisional designation in astronomy
Provisional_designation_in_astronomy
Subdivision of the plane into polygons that are all regular
1619). Euclidean tilings are usually named after Cundy & Rollett's notation. This notation represents (i) the number of vertices, (ii) the number of polygons
Euclidean tilings by convex regular polygons
Euclidean_tilings_by_convex_regular_polygons
System of musical notation
from a number of earlier musical systems. It uses a system of musical notation based on movable do solfège, whereby every note is given a name according
Tonic_sol-fa
Original braille alphabet, used for French
in Quebec. See the punctuation section above for Antoine mathematical notation. Readings have changed slightly since modern braille was first published
French_Braille
representations. g and u subscripts denote symmetry and antisymmetry, respectively, with respect to a center of inversion. Subscripts "1" and "2" denote symmetry
List of character tables for chemically important 3D point groups
List_of_character_tables_for_chemically_important_3D_point_groups
Tactile system for encoding mathematical and scientific notation
opening and closing double quotes are the same as in Grade-2 English Braille. Apart from 0, this is the same as the Antoine notation used in French and
Gardner–Salinas_braille_codes
Symmetry group of a configuration in space
around the axis each time). The degree of translation is then added as a subscript showing how far along the axis the translation is, as a portion of the
Space_group
Groups of point isometries in 3 dimensions
Oh, I or Ih) has as its rotation group the corresponding one without a subscript: T, O or I. The rotation group of an object is equal to its full symmetry
Point groups in three dimensions
Point_groups_in_three_dimensions
Book on phonetic transcription symbols
⟨←⟩, used to indicate clicks in Smalley (1963). This is similar to the subscript arrow U+02FF (˿) used to indicate clicks in the same way in the Uralic
Phonetic_Symbol_Guide
Form of text that defines C code
variable. The primary facility for accessing array elements is the array subscript operator. For example, a[i] accesses the element at index i of array a
C_syntax
Linear operator used in quantum mechanics
element refers to the linear operator of a modified Hamiltonian using Dirac notation. It is in fact referring to the matrix elements of a Hamiltonian operator
Matrix_element_(physics)
Classification system for symmetry groups in geometry
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between fundamental reflections of
Coxeter_notation
Historical programming language
and MAD/I, including three linear feet of printouts with hand-written notations and original printed manuals. Three MAD compilers exist: Original MAD
MAD_(programming_language)
Function whose domain is the positive integers
This article uses technical mathematical notation for logarithms. All instances of log(x) without a subscript base should be interpreted as a natural
Arithmetic_function
Symbol affixed to a variable name
variable subtree may be referenced indirectly by a caret and the last subscript; this is referred to as a "naked reference". System-wide routines and
Sigil_(computer_programming)
Subatomic particle
bottom (doubles allowed). For notation, the assumption is that the two heavy quarks in the Ξ are both strange; subscripts "c" and "b" are added for each
Xi_baryon
Data type that represents an ordered collection of elements (values or variables)
row i and column j of an array A would be accessed by double indexing (A[i][j] in typical notation). This way of emulating multi-dimensional arrays allows
Array_(data_type)
Branch of logic
main notational variants for each of the connectives in propositional logic. Other notations have been used historically, such as Polish notation. For
Propositional_logic
Punctuation mark with two dots (:)
COLON U+2360 ⍠ APL FUNCTIONAL SYMBOL QUAD COLON U+2982 ⦂ Z NOTATION TYPE COLON U+2A74 ⩴ DOUBLE COLON EQUAL U+205D ⁝ TRICOLON U+2AF6 ⫶ TRIPLE COLON OPERATOR
Colon_(punctuation)
Distance from zero to a number
distinct notation is the use of vertical bars for either the Euclidean norm or sup norm of a vector in ℝn, although double vertical bars with subscripts (‖⋅‖2
Absolute_value
Production of a sound while the velum is lowered
[a], and [ṽ] is the nasalized equivalent of [v]. Although not IPA, a subscript diacritic [ą], called an ogonek, is sometimes seen, particularly from
Nasalization
Exterior algebraic map taking tensors from p forms to n-p forms
{\displaystyle \alpha ^{\bigstar }} , and the left Hodge dual is denoted by a subscript star and defined as α ★ = G α _ {\displaystyle \alpha _{\bigstar }={\underline
Hodge_star_operator
Arithmetic operation
Mathematics Study Group developed the notation in connection with units used in the metric system. Mathematics portal Double exponential function – Exponential
Exponentiation
Isogonal polytope with uniform facets
Schläfli symbol can be used for representing rectified forms, with a single subscript: k-th rectification = tk{p1, p2, ..., pn−1} = kr. Truncation operations
Uniform_polytope
Type of data structure
of the array is indexed by subscript of 0. 1 (one-based indexing) The first element of the array is indexed by subscript of 1. n (n-based indexing) The
Array_(data_structure)
Script used to write the Punjabi language
diacritics for nasal sounds, one diacritic that geminates consonants and three subscript characters. The prevalent view among Punjabi linguists is that as in the
Gurmukhi
Serif typeface
staveless tone letters, and old-style digits. Small capitals, superscript and subscript are also available; they display better than HTML formatting and are distinct
Gentium
Integer-valued knot invariant; least number of crossings in a knot diagram
Tables of prime knots are traditionally indexed by crossing number, with a subscript to indicate which particular knot out of those with this many crossings
Crossing_number_(knot_theory)
Musical Symbols (Unicode block) Ancient Greek Musical Notation (Unicode block) Znamenny Musical Notation (Unicode block) Duployan (Unicode block) Shorthand
List_of_Unicode_characters
Modifier mark added to a letter
you may see question marks, boxes, or other symbols. This page uses IPA notation for orthographic or other linguistic analysis. For the meaning of how ⟨ ⟩
Diacritic
Names of numbers in English
decimal point. Thus one-half would be written 0.5 in decimal, base ten notation, and fifty thousand as 50 000, and not 50.000 nor 50,000 nor 50000. In
English_numerals
instead of phonetic symbols. Unicode supports several phonetic scripts and notation systems through its existing scripts and the addition of extra blocks with
Phonetic_symbols_in_Unicode
Function that measures dissimilarity between two probability distributions
information theory, a double bar is commonly used: D ( p ∥ q ) {\displaystyle D(p\parallel q)} ; this is similar to, but distinct from, the notation for conditional
Divergence_(statistics)
Diacritical mark (◌̀)
This page uses IPA notation for orthographic or other linguistic analysis. For the meaning of how ⟨ ⟩, | |, / /, and [ ] are used here, see this page.
Grave_accent
Typographical symbol (*)
operator, denoted in prefix notation The Hodge star operator on vector spaces ∗:Ak→An−k. as a unary operator, written as a subscript The pushforward (differential)
Asterisk
Extension of the factorial function
uses technical mathematical notation for logarithms. All instances of log ( x ) {\displaystyle \log(x)} without a subscript base should be interpreted
Gamma_function
Unicode character block
Old Irish phonetic notation, the Oxford English Dictionary and American dictionaries, and Americanist and Russianist phonetic notations. Its character set
Phonetic_Extensions
Prefix indicating a power of two
Markus Kuhn proposed the extra prefix "di" and the symbol suffix or subscript "2" to mean "binary"; so that, for example, "one dikilobyte" would mean
Binary_prefix
Average of the means of several subsamples of same size
average of the individual group means. Pooled variance The dots in the subscripts indicate the index(es) over which summation is applied. Everitt (2006)
Grand_mean
Unicode character block
Latin characters for phonetic, Mayanist, and Medieval transcription and notation systems. 89 of the characters in this block are for medieval characters
Latin_Extended-D
Script used to write the Greek language
ω⟩ carry an additional diacritic in certain words, the so-called iota subscript, which has the shape of a small vertical stroke or a miniature ⟨ι⟩ below
Greek_alphabet
Decomposition of periodic functions
} and functional notation often replaces subscripting: s ( x ) = ∑ n = − ∞ ∞ s ^ ( n ) ⋅ e i 2 π n P x common mathematics notation = ∑ n = − ∞ ∞ S [
Fourier_series
Formula in Lie group theory
eigenvalues of g(U) will be g(λij), where λij are the eigenvalues of U, the double subscript is made clear below. In the present case with g(U) = 1 − exp(−U)/U
Derivative of the exponential map
Derivative_of_the_exponential_map
Quantum states of two qubits
states. Their entanglement means the following: The qubit held by Alice (subscript "A") can be in a superposition of 0 and 1. If Alice measured her qubit
Bell_state
Quantum mechanics taking into account particles near or at the speed of light
predictions. Other common notations include ms and sz etc., but this would clutter expressions with unnecessary subscripts. The subscripts σ labeling spin values
Relativistic quantum mechanics
Relativistic_quantum_mechanics
programming languages, such as division by zero errors, domain errors, array subscript out of bounds errors, arithmetic underflow errors, several types of underflow
Glossary_of_computer_science
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DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
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