The covariance matrix is the expected value, element by element, of the n × n matrix computed as – E ( X )< sup > T </ sup >, where the superscript T refers to the transpose of the indicated vector:

In William Caxton's pioneering printed English, it is rare except in an abbreviated the, written with a thorn and a superscript E. This was the longest-lived usage, though the substitution of Y for thorn soon became ubiquitous, leading to the common ' ye ' as in ' Ye Olde Curiositie Shoppe '.

The first printing of the King James Version of the Bible in 1611 used the Y form of thorn with a superscript E in places such as Job 1: 9, John 15: 1, and Romans 15: 29.

Specifically, for any operation of arity in ( where the superscript simply denotes that it's an operation in ) define as, where denotes the equivalence class of a modulo E.

In electrochemistry, the standard electrode potential, abbreviated E ° or E < sup >⦵</ sup > ( with a superscript plimsoll character, pronounced " standard " or " nought "), is the measure of individual potential of a reversible electrode at standard state, which is with solutes at an effective concentration of 1 mol dm < sup >− 3 </ sup >, and gases at a pressure of 1 atm.

where the superscript indicates the moments are

The rhyme-and-refrain pattern of the villanelle can be schematized as A < sup > 1 </ sup > bA < sup > 2 </ sup > abA < sup > 1 </ sup > abA < sup > 2 </ sup > abA < sup > 1 </ sup > abA < sup > 2 </ sup > abA < sup > 1 </ sup > A < sup > 2 </ sup > where letters (" a " and " b ") indicate the two rhyme sounds, upper case indicates a refrain (" A "), and superscript numerals (< sup > 1 </ sup > and < sup > 2 </ sup >) indicate Refrain 1 and Refrain 2.

< sup > 69m </ sup > Zn has the longest half-life, 13. 76 h. The superscript m indicates a metastable isotope.

where the superscript indicates the temperature at which the density of the material is measured, and the subscript indicates the temperature of the reference substance to which it is compared.

The superscript theta ( zero ) on this symbol indicates that the process has been carried out under standard conditions.

For example, the partition 2 + 1 + 1 might instead be written as the tuple or in the even more compact form where the superscript indicates the number of repetitions of a term.

The superscript in the symbols,, and indicates the type of the objects being quantified over.

The superscript 0 indicates quantifiers over numbers, the superscript 1 would indicate quantification over functions from numbers to numbers ( type 1 objects ), the superscript 2 would correspond to quantification over functions that take a type 1 object and return a number, and so on.

and where a superscript on an up-arrow indicates how many arrows are there.

and the superscript on f indicates an iteration of the function, e. g., < big > f < sup > 4 </ sup >( n ) = f ( f ( f ( f ( n ))))</ big >.

where the < sup >< s > o </ s ></ sup > superscript indicates standard state values.

These functions are denoted, where the superscript indicates the order, and not a power of P. Their most straightforward definition is in terms

# A superscript < w > indicates either simultaneous velarization and labialization, as in or, or labialization of a velar consonant, as in.

* superscript < sup > A2 </ sup > after a word indicates the BrE pronunciation of the word is a common variant in AmE

* superscript < sup > B2 </ sup > after a word indicates the AmE pronunciation of the word is a common variant in BrE

A range of similar symbols are used in the literature: a stroked lowercase letter O (< sup >< s > o </ s ></ sup >), a superscript zero (< sup > 0 </ sup >) or a circle with a horizontal bar either where the bar extends the boundaries of the circle (⦵ ( Unicode 29B5 " Circle with horizontal bar ")) or is enclosed by the circle, dividing the circle in half (⊖ ( Unicode 2296 " Circled minus " as displayed in http :// www. unicode. org / charts / PDF / U2980. pdf ).

The sign originated in a superscript e ; a handwritten Sütterlin e resembles two parallel vertical lines, like an umlaut.

In tensor analysis, a mixed tensor is a tensor which is neither strictly covariant nor strictly contravariant ; at least one of the indices of a mixed tensor will be a subscript ( covariant ) and at least one of the indices will be a superscript ( contravariant ).

The accounts of Micah's idol also include reference to a Jonathan son of Gershom as being a priest, and although the masoretic text seems to avoid the implication that non-Aaronim could be priests by describing this particular Gershom as a son of Manasseh ( מנשה ), this appears to have been distorted ; the letter nun ( נ ) appears here in superscript, suggesting that the text originally described this Gershom as the one that was a son of Moses ( משה ).

The superscript ' fisher ' is present to remind that this expression is applicable for the coordinates ; whereas the non-coordinate form is the same as the Euclidean ( flat-space ) metric.

LocoScript's menu system enabled users to add, singly or in combination, a range of typographical effects: monospaced or proportional character spacing ; normal or double width characters and spacing ; various font sizes ; bold, underline, italics, subscript or superscript, and reverse video.

tensor quantities ; the superscript denotes the crystallographic direction

Vol I, chapter 16, the final chapter of that volume, carries the long superscript " Récapitulation ; caractères respectifs des trois grandes races ; effects sociaux des mélanges ; supérorité du type blanc et, dans ce type, de la famille ariane ", or, in English, " Recapitulation ; respective characters of the three great races ; social effects of mixtures ; superiority of the white type and, within that type, of the Aryan family ".

Symbols used are common but not universal ; superscript C denotes an antiparticle ; and for the U ( 1 ) group, the value of the weak hypercharge is listed.

Proper appearance of these requires true superscript and subscript, H < sub > 2 </ sub > O probably looks better using a subscript markup than using these characters ( H &# x2082 ; O )

The table on the left contains the actual Unicode characters ; the one on the right contains the equivalents using HTML markup for the subscript or superscript.

It also used a similar form with a superscript T, which was an abbreviated that, in places such as 2 Corinthians 13: 7.

This equation tells us that the growth of money wages rises with the trend rate of growth of money wages ( indicated by the superscript " T ") and falls with the unemployment rate ( U ).

where the superscript T denotes the matrix transpose.

* Decomposition ( complex version ): and where Q and Z are unitary matrices, the H superscript represents conjugate transpose, and S and T are upper triangular matrices.

In this case Q and Z are orthogonal matrices, the T superscript represents transposition, and S and T are block upper triangular matrices.

Here, is an n-dimensional complex vector, and the superscript T denotes the transpose.

where " tr " denotes the trace of the 2nd rank tensor, and superscript " T " denotes transpose, in which in image filtering D ( ϕ, r ) are symmetric matrices constructed from the eigenvectors of the image structure tensors.

: is a column vector of the, and the superscript < sup > T </ sup > is the transpose operator.

* The transpose operator is denoted by either a superscript T ( e. g. A < sup > T </ sup >) or a prime symbol ( e. g. A ′).

Consequently it allowed symbols like " ½ " for ". 5 " and the superscript < sup > 2 </ sup > for " to the power of 2 ".

The diacritic for aspiration in the International Phonetic Alphabet ( IPA ) is a superscript " h ", ⟨⟩.

Unaspirated consonants are not normally marked explicitly, but there is a diacritic for non-aspiration in the Extensions to the IPA, the superscript equal sign, ⟨⟩.

Some linguists restrict the double-dot subscript ⟨⟩ to murmured sonorants, such as vowels and nasals, which are murmured throughout their duration, and use the superscript hook-aitch ⟨⟩ for the breathy-voiced release of obstruents.

IUPAC prefers that isotope symbols be written in superscript notation when practical, for example < sup > 12 </ sup > C and < sup > 235 </ sup > U. However, other notations, such as carbon-12 and uranium-235, or C-12 and U-235, are also used.

* ( ــ ٰ ـ ) superscript alif ( also " short " or " dagger alif ": A replacement for an original alif that is dropped in the writing out of some rare words, e. g. لاكن is not written out with the original alif found in the word pronunciation, instead it is written out as ل ٰ كن.

The diacritic for aspiration is a superscript " h ", ( e. g., ).

The superscript notation for inverses can sometimes be confused with other uses of superscripts, especially when dealing with trigonometric and hyperbolic functions.

The radian is represented by the symbol " rad " or, more rarely, by the superscript c ( for " circular measure ").

Wild-type alleles are indicated with a "+" superscript, for example B < sup >+</ sup > and vg < sup >+</ sup > for round eyes and full-size wings, respectively.

In general, authors retain asterisk for " unattested ", and prefix ˣ, **, or a superscript "?

This meant that the same matrix could be used for both superscript and subscript numbers.

A similar notation remains in common use as an underbar to superscript digits, especially for monetary values without a decimal point, e. g. 99 < sup >< ins > 95 </ ins ></ sup >.

In expressions such as, the notation for exponentiation is usually to write the exponent as a superscript to the base number.

Such consonants are phonetically palatalized, and in the International Phonetic Alphabet ( IPA ) they are indicated by a superscript ⟨ j ⟩, as with for a palatalized.

# The symbol ( a superscript voiced pharyngeal fricative or reversed glottal stop ) after the letter standing for the pharyngealized consonant, as in ( the pharyngealized equivalent of ).

* Version 0. 48 ( August 23, 2010 ) The highlights of this release are: multipath node editing, improved text tool: subscript, superscript, numerical and preset inputs for text kerning, tracking and more text enhancements, new Airbrush ( Spray ) tool, LaTeX export with PDF / PS / EPS, JessyInk extension for creating presentations viewable in SVG-enabled web browsers.