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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
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
Mathematical symbols (+ and −)
algebraic notation used to record games of chess, the plus sign + is used to denote a move that puts the opponent into check, while a double plus ++ is
Plus_and_minus_signs
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
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
Punctuation mark
original on 30 December 2019. Retrieved 7 February 2016. "Superscripts and Subscripts Code Chart" (PDF). The Unicode Standard. Unicode Consortium. Archived
Bracket
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
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)
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
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
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
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
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
Atoms of the same element, but different mass
left of the chemical symbol and to indicate the atomic number with a subscript at the lower left (e.g. 3 2He, 4 2He, 12 6C, 14 6C, 235 92U, and 239 92U)
Isotope
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
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)
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
Type of uncertainty of meaning where several interpretations are possible
although in the informal notation of a slide presentation it may stand for sin {\displaystyle \sin } . Commas in multi-component subscripts and superscripts are
Ambiguity
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
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
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
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
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
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
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
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
Numbers significantly larger than those used regularly
approximately, giving a value at the top does not make sense, so the double-arrow notation (e.g. 10 ↑↑ ( 7.21 × 10 8 ) {\displaystyle 10\uparrow \uparrow (7
Large_numbers
Typographic symbol
, σ ) {\displaystyle f(x|\mu ,\sigma )} , or in the notation for elliptic integrals. The double vertical bar, ‖ {\displaystyle \|} , is also employed
Vertical_bar
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)
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
Arithmetical operation
notation, the variable i represents a varying integer, called the multiplication index, that runs from the lower value 1 indicated in the subscript to
Multiplication
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
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
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
[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
Use of Roman Numeral symbols in the musical analysis of chords
accidentals may be below the superscript and subscript number(s), before the superscript and subscript number(s), or using a slash (/) or plus sign (+)
Roman_numeral_analysis
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
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". You may
Prime_(symbol)
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
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)
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
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
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
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
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
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
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
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
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
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
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)
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
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
Compact notation for chemical compounds
are limited to a single typographic line of symbols, which may include subscripts and superscripts. A chemical formula is not a chemical name since it does
Chemical_formula
Number
in arithmetic. As a numerical digit, 0 plays a crucial role in decimal notation: it indicates that the power of ten corresponding to the place containing
0
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)
Linguistic device in formal languages
following recursive definition: Any lowercase Roman letter (with or without subscripts) is a well-formed formula (wff) of L. If φ is a well-formed formula (wff)
Quasi-quotation
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
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
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
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
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)
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
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
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
Character(s) for specifying the boundary between regions of data
boundaries can be indicated via other means. For example, declarative notation indicates the length of a field at the start of the field instead of relying
Delimiter
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)
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
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
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
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
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
Exterior algebraic map taking tensors from p forms to n-p forms
^{\bigstar }={\overline {G\alpha }}} . The left Hodge dual is denoted by a subscript star and defined as α ★ = G α _ {\displaystyle \alpha _{\bigstar }={\underline
Hodge_star_operator
Production of a sound while the velum is lowered
[a], and [ṽ] is the nasalised equivalent of [v]. Although not IPA, a subscript diacritic [ą], called an ogonek, is sometimes seen, particularly from
Nasalization
Distance from zero to a number
notation is the use of vertical bars for either the Euclidean norm or sup norm of a vector in R n {\displaystyle \mathbb {R} ^{n}} , although double vertical
Absolute_value
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
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
Musical Symbols (Unicode block) Ancient Greek Musical Notation (Unicode block) Znamenny Musical Notation (Unicode block) Duployan (Unicode block) Shorthand
List_of_Unicode_characters
Braille script of the Japanese language
gyu, gyo. And so on for the other consonants. Unlike kana, which uses a subscript e, in braille the -ye in foreign borrowings is written with yōon and the
Japanese_Braille
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)
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
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
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)
Function whose domain is the positive integers
uses technical mathematical notation for logarithms. All instances of log ( x ) {\displaystyle \log(x)} without a subscript base should be interpreted
Arithmetic_function
Theorem in number theory
uses technical mathematical notation for logarithms. All instances of log ( x ) {\displaystyle \log(x)} without a subscript base should be interpreted
Divergence of the sum of the reciprocals of the primes
Divergence_of_the_sum_of_the_reciprocals_of_the_primes
Script used to write the Punjabi language
diacritics for nasal sounds, one diacritic that geminates consonants and three subscript characters. The Gurmukhī script is generally believed to have roots in
Gurmukhi
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
Characters encoded solely to maintain round-trip convertibility with other standards
kerning or word-spacing attributes. Some subscript and superscript form characters Many of the subscript and superscript characters are actually semantically
Unicode compatibility characters
Unicode_compatibility_characters
Baryon made of specific quark combinations
this notation, the superscript character indicates whether the particle is electrically neutral (0) or carries a positive charge (+). The subscript character
Lambda_baryon
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
Typographical symbol (*)
{\displaystyle *:A^{k}\rightarrow A^{n-k}} . as a unary operator, written as a subscript The pushforward (differential) of a smooth map f {\displaystyle f} between
Asterisk
Marks to indicate pacing of written text
at least the 12th century, scribes also began entering diples (sometimes double) within the column of text. Punctuation marks, especially spacing, were
Punctuation
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
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)
Latin extended alphabet used by Slovene
non-tonemic system. The high-mid vowels /eː/ and /oː/ are written ẹ ọ with a subscript dot, while the low-mid vowels /ɛː/ and /ɔː/ are written as plain e o.
Slovene_alphabet
Letter "Ja" in Indic scripts
schemes of Khmer, Pali and Lao. Many of the matras include subscript wa (), subscript ya (), subscript a () or even the letter a () itself. Anusvara () and
Ja_(Indic)
Result on density of prime numbers
uses technical mathematical notation for logarithms. All instances of log ( x ) {\displaystyle \log(x)} without a subscript base should be interpreted
Bertrand's_postulate
Ancient script of Central and South Asia
It can also be used as a vowel length marker. A further diacritic, the double ring below ⟨𐨍⟩ appears with vowels -a and -u in some Central Asian documents
Kharosthi
Computer programming convention
follows: class DoubleVec { public: // construct a DoubleVec DoubleVec(int s) :elem(new double[s]), sz(s) { } // element access: subscripting double& operator[](int
Indentation_style
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
Boy/Male
Hindu, Indian
Money; Russian Currency
Girl/Female
Scottish
From the Gaelic 'dubhglas' meaning dark water, dark stream, or from the dark river.
Surname or Lastname
French
French : from a reduced form of the Germanic personal name Hildo (see Hildebrand, Houde).French : habitational name from any of several places in Normandy called La Houle or Les Houles, named in Old French with the singular or plural of houle ‘cave’.English : variant of Hole.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : variant of Double.In some cases, probably an altered spelling of South German Dobel or Döbel, a topographic name for someone who lived in a gorge or deep valley, Middle High German southern dialect tobel.
Surname or Lastname
English
English : variant spelling of Dowdell.Possibly an altered spelling of German Daudel, Dautel, variants of Dietz.
Male
English
Anglicized form of Irish Gaelic Dubhghall, DOYLE means "black stranger."Â
Surname or Lastname
English
English : variant of Coble.Americanized spelling of German Kobel.
Surname or Lastname
English
English : of uncertain origin; perhaps derived from the vocabulary word soul as a term of affection.French (Soulé) : variant of Soulier 1.George Soule (1600–80), one of the passengers on the Mayflower in 1620, was one of the founders of Duxbury, MA, where he became comparatively wealthy. He left eight children.
Surname or Lastname
English
English : from the medieval personal name Dobbe, one of several pet forms of Robert in which the initial letter was altered. Compare Hobbs.
Girl/Female
Latin
Mistress of the home.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : nickname from Old French doubel ‘twin’ (literally ‘double’, from Late Latin duplus, classical Latin duplex, from du(o) ‘two’ + plek, a root meaning ‘fold’).
Male
English
English name derived from the vocabulary word, from Latin nobilis, NOBLE means "noble."
Girl/Female
Christian, Hindu, Indian, Kannada
Money
Surname or Lastname
English
English : nickname for a sickly person, from French debile ‘frail’, ‘weak’ (from Latin debilis).Americanized spelling of German Diebel.
Surname or Lastname
English
English : habitational name from Wombwell in South Yorkshire, named with the Old English byname Wamba meaning ‘belly’ (or this word used in a transferred topographical sense) + Old English well(a) ‘spring’, ‘stream’.
Boy/Male
Hindu
Born during the rainy season, Money
Surname or Lastname
English
English : variant of Dibble.Altered spelling of German Deibel or Deubel.
Surname or Lastname
English
English : possibly a variant of Goble or Gobel.Perhaps an Americanized spelling of French Gobeil.
Surname or Lastname
English
English : from a variant of the medieval personal name Tebald, Tibalt (see Theobald).
Boy/Male
British, Christian, English
Dark Water; In the Seventeenth Century; Diminutive of Douglas
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
Boy/Male
English
Related to Avyan
Girl/Female
Gujarati, Indian, Punjabi, Sikh
Lover of God; Guru's Love; Love of Guru
Girl/Female
Hindu, Indian
The Diety who Looks After the Direction Eashanya or East
Girl/Female
Australian, Hebrew
Plow
Girl/Female
Tamil
Sthiratha | ஸà¯à®¤à¯€à®°à®¤à®¾
Steadiness
Girl/Female
Arabic, Muslim
Choicest
Boy/Male
Arabic, Muslim
Spirit of the Truth; An Epithet of the Prophet Muhammad
Boy/Male
Danish Norse Swedish Latin
Great.
Boy/Male
Scottish
Son of Farlan.
Girl/Female
Muslim
A flower
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
DOUBLE SUBSCRIPT-NOTATION
n.
Double-quick time, step, or march.
adv.
Twice; doubly.
n.
A subscript mark, number, or letter. See Subscript, a.
n.
Double beer; strong beer.
n.
One who, or that which, doubles.
n.
A game between two pairs of players; as, a first prize for doubles.
v. t.
To double the natural darkness of (a place).
a.
To be the double of; to exceed by twofold; to contain or be worth twice as much as.
imp. & p. p.
of Double
n.
The act of one that doubles; a making double; reduplication; also, that which is doubled.
n.
Among compositors, a doublet (see Doublet, 2.); among pressmen, a sheet that is twice pulled, and blurred.
adv.
In a double degree; doubly.
a.
Written below or underneath; as, iota subscript. (See under Iota.) Specifically (Math.), said of marks, figures, or letters (suffixes), written below and usually to the right of other letters to distinguish them; as, a, n, 2, in the symbols Xa, An, Y2. See Suffix, n., 2, and Subindex.
a.
Double; doubled; reduplicative; repeated.
n.
The state of being double or doubled.
v. t.
To attest by writing one's name beneath; as, officers subscribe their official acts, and secretaries and clerks subscribe copies or records.
n.
That which is doubled over or together; a doubling; a plait; a fold.
a.
To increase by adding an equal number, quantity, length, value, or the like; multiply by two; to double a sum of money; to double a number, or length.