When Greek orthography was codified by grammarians in the Hellenistic era, they used a diacritic symbol derived from this half-H shape to signal the presence of / h /, and added as its counterpart a reverse-shaped diacritic to denote absence of / h /.

When used in science, for example geology, eras denote clearly defined periods of time of arbitrary but well defined length, such as for example the Mesozoic Era from 252 Ma – 66 Ma, delimited by a start event and an end event.

When used in social history, eras may for example denote a period of some monarch's reign.

When a judge of the High Court who is not present is being referred to they are described as " Mr ./ Mrs. Justice N ." In writing, the post-nominal letter " J " is used to denote a Judge ( male or female ) of the High Court: for example, Smith J.

When applied to a field ( a function defined on a multi-dimensional domain ), del may denote the gradient ( locally steepest slope ) of a scalar field ( or sometimes of a vector field, as in the Navier – Stokes equations ), the divergence of a vector field, or the curl ( rotation ) of a vector field, depending on the way it is applied.

When describing the Atabegs of Azerbaijan, the Ildeniz ( Ildegoz ) dynasty, the title Atabeg-e-Azam ( Great Atabeg ) was used, to denote their superior standing, power and influence on the Seljuk Sultans.

When applicable, a suffix is used to denote the alloying element being contributed by the electrode.

When used in this way it does not denote a judge with a particular office.

# When discussing individual institutions, secularization can denote the transformation of a religious into a secular institution.

When cylindrical correction is needed, the mathematics used to denote the combination of spherical and cylindrical power in a lens can be notated two different ways to indicate the same correction.

When the ribbon is worn alone a silver rosette ribbon emblem is worn to denote the award of a clasp.

When it refers to a fragment of the genetic material, it may denote the GC-content of part of a gene ( domain ), single gene, group of genes ( or gene clusters ), or even a non-coding region.

When we apply the pairing function to and we often denote the resulting number as

When one extreme can be considered better than the other ( like this map of life expectancy ) then it is common to denote the poor alternative with shades of red, and the good alternative with green.

where x, y and denote column vectors of length T. When x and are uncorrelated, under certain regularity conditions the second term has an expected value conditional on x of zero and converges to zero in the limit, so the estimator is unbiased and consistent.

When worn, the aigullettes denote on-duty status.

When Sun offered Intel Xeon and AMD Opteron Sun Fire servers under the V-Series sub brand, Sun used an x suffix to denote Intel Xeon processor based systems and a z suffix for AMD Opteron processor based systems, but this convention was later dropped.

When data objects are stored in an array, individual objects are selected by an index that is usually a non-negative scalar integer.

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

When α is an integer, moreover, as was similarly the case for the functions of the first kind, the following relationship is valid:

When α is an integer, the Bessel functions J are entire functions of x.

When the numbers are very large, no efficient, non-quantum integer factorization algorithm is known ; an effort concluded in 2009 by several researchers factored a 232-digit number ( RSA-768 ), utilizing hundreds of machines over a span of 2 years.

When discussing what complexity classes the integer factorization problem falls into, it's necessary to distinguish two slightly different versions of the problem:

This set, consisting of the integers congruent to a modulo n, is called the congruence class or residue class or simply residue of the integer a, modulo n. When the modulus n is known from the context, that residue may also be denoted.

When the function's argument is 0 ( zero ) it will return the integer 1 ( one ).

When m is chosen so that ( a + bm )/ k is an integer, so are the other two numbers in the triple.

When the oscillator is long and thin, such as a guitar string, or the column of air in a trumpet, many of the partials are integer multiples of the fundamental frequency ; these are called harmonics.

# When the balanced equation for a reaction is multiplied by an integer, the corresponding value of ΔH must be multiplied by that integer as well.

When originally developed, for the Intel i860, the use of integer math made sense ( both 2D and 3D calculations required it ), but as graphics cards that did much of this became common, integer SIMD in the CPU became somewhat redundant for graphical applications.

The derivation of de Moivre's formula above involves a complex number to the power n. When the power is not an integer, the result is multiple-valued, for example, when n = ½ then:

Exponentiation is a mathematical operation, written as b < sup > n </ sup >, involving two numbers, the base b and the exponent ( or index or power ) n. When n is a positive integer, exponentiation corresponds to repeated multiplication ; in other words, a product of n factors, each of which is equal to b ( the product itself can also be called power ):

When n is an integer, the solution P < sub > n </ sub >( x ) that is regular at x = 1 is also regular at x = − 1, and the series for this solution terminates ( i. e. is a polynomial ).

When is a non-negative integer, then gives the number of

When spoken about graph labeling with unique labels, commonly taken from the integer range 1 ,..., n, where n is the number of the vertices of the graph, two labeled graphs are said to be isomorphic if the corresponding underlying unlabeled graphs are isomorphic.

When we want to write functions to make an abstract data type, we wish to write functions to interface with the data type, and thus we want to extract some data from the data type, for example, just the string or just the integer part of.

When a string is bowed or tone in a wind instrument initiated by vibrating reed or lips, a phenomenon called mode-locking counteracts the natural inharmonicity of the string or air column and causes the overtones to lock precisely onto integer multiples of the fundamental pitch, even though these are slightly different than the natural resonance points of the instrument.

When the quotient is not an integer and the division process is extended beyond the decimal point, one of two things can happen.

When a man proves a positive integer to exist, he should show how to find it.

When the overtones are integer multiples ( e. g., 2 ×, 3 × ... 6 × ... ) of the fundamental frequency ( called harmonics ), then the oscillation is periodic, i. e., it vibrates in exactly the same way over and over again.

When large numbers of delayed signals are mixed over several seconds, the resulting sound has the effect of being presented in a large room, and it is more commonly called reverberation or reverb for short.

When Phil Smith and Phil Mayfield jumped together from a Houston skyscraper on 18 January 1981, they became the first to attain the exclusive BASE numbers ( BASE # 1 and # 2, respectively ), having already jumped from an antenna, spans, and earthen objects.

When numbers are used to represent months, a significant amount of confusion can arise from the ambiguity of a date order ; especially when the numbers representing the day, month or year are low, it can be impossible to tell which order is being used.

When storing records in a large unsorted file, one may use a hash function to map each record to an index into a table T, and collect in each bucket T a list of the numbers of all records with the same hash value i. Once the table is complete, any two duplicate records will end up in the same bucket.

When CD4 < SUP >+</ SUP > T cell numbers decline below a critical level, cell-mediated immunity is lost, and the body becomes progressively more susceptible to opportunistic infections.

When the film editing is complete, the edge numbers on the final cut film correspond back to their identical frames on the original negative so that a conform edit can be made of the original negative to match the work print.

When the Indian Rebellion of 1857 broke out in South Asia, the 21st Native Infantry, then stationed in Karachi, declared allegiance to rebels and joining their numbers on 10 September 1857.

When time is running forward, the piece numbers increment from 0 – 7 ; with the time that piece 0 is transmitted is the coded instant, and the remaining pieces are transmitted later.

When used in the right way and in sufficient numbers, the Finns had found that they were effective.

When the coefficients belong to a finite field or are rational numbers, there are algorithms to test irreducibility and to compute the factorization into irreducible polynomials.

When two geometrically similar flow patterns, in perhaps different fluids with possibly different flow rates, have the same values for the relevant dimensionless numbers, they are said to be dynamically similar.

When the user's hand motion was not smooth, it produced wrong numbers.

* When writing RPN on paper ( something that some users of RPN may not do ) adjacent numbers need a separator between them.

) When it is picked up, the player is rewarded with 2, 764, 331 points ; the numbers are the digits of Apogee's past phone number, which was 1-800-276-4331.

When the elements of A are real numbers, this result becomes rk ( A )

When the film opened in June 1989, it was backed by the biggest marketing and merchandising campaign in film history at the time, and became one of the biggest box office hits of all time, grossing well over US $ 250 million in the US alone and $ 400 million worldwide ( numbers not adjusted for inflation ) and earning critical acclaim for the performances of both Keaton and Nicholson, as well as the film's production aspects, which won the Academy Award for Best Art Direction.

When pages or volume numbers in the Zohar are referred to, they conventionally follow the pagination or the three-volume partitioning of the Mantua edition.

When they are different, the coordination numbers used can be different.

When viewed in this way the numbers x < sub > 1 </ sub >, ..., x < sub > n </ sub >, and y < sub > 1 </ sub >, ..., y < sub > n </ sub > are the components of x and y with respect to an orthonormal basis of V.

When times prior to the epoch need to be represented, it is common to use the same system, but with negative numbers.

When the positive integers are arrayed along the Ulam spiral, prime numbers, represented by dots, tend to collect along diagonal lines.

When large numbers of delayed signals are mixed over several seconds, the resulting sound has the effect of being presented in a large room, and it is more commonly called reverberation or reverb for short.