For signals of indefinite size, such as streaming audio and video, the compression ratio is defined in terms of uncompressed and compressed data rates instead of data sizes:

For example: in the present indefinite, we use ‘ go ’ with subject I / we / you / they and plural nouns, whereas for third person singular pronouns ( he / she / it ) and singular nouns we use ‘ goes ’.

For instance we might follow the statement " an integer can be factored as a product of prime numbers " with " the product is unique up to ordering ", meaning the order of the operands is irrelevant, integers and their prime factorization are ; or we might say " the solution to an indefinite integral is, up to addition by a constant ", meaning that the constant is not the focus here, the solution is, and that the addition of a constant is to be regarded as a background, of secondary focus.

For indefinite integrals, the sum rule states

For example, Boltzmann's standard definition of entropy S = k ln W ( where W is the number of ways of arranging a system and k is Boltzmann's constant ) can also written more simply as just S = Log ( W ), where " Log " here denotes the indefinite logarithm, and we let k = ; that is, we identify the physical entropy unit k with the mathematical unit.

For other non-singular forms O ( p, q ), see indefinite orthogonal group.

" For this the Chosun Ilbo was given an indefinite suspension.

For indefinite systems, preconditioners such as incomplete LU factorization, additive Schwarz, and multigrid perform poorly or fail entirely, so the problem structure must be used for effective preconditioning.

For Derrida, there was a deferral, a continual and indefinite postponement as the Signified can never be achieved.

For example, the point is a saddle point for the function but the Hessian matrix of this function at the origin is the null matrix, which is not indefinite.

For example, consider the English indefinite articles a and an.

For indefinite lattices, the classification is easy to describe.

For a function of n variables, the number of negative eigenvalues of a critical point is called its index, and a maximum occurs when all eigenvalues are negative ( index n, the Hessian is negative definite ) and a minimum occurs when all eigenvalues are positive ( index zero, the Hessian is positive definite ); in all other cases, the critical point can be a maximum, a minimum or a saddle point ( index strictly between 0 and n, the Hessian is indefinite ).

For an indefinite period of time a nuclear exchange between the United States and the Soviet Union devastated both countries and subsequently the entire planet ( but little details are known outside both countries ).

For multi-word lexemes which contain possessive adjectives or reflexive pronouns, the citation form uses a form of the indefinite pronoun one: e. g., do one's best, perjure oneself.

For any given set of sentences generated by a hierarchical grammar capable of infinite recursion there are an indefinite number of grammars that could have produced the same data.

For example, Jacques Derrida speaks of the " freeplay " of signifiers: arguing that they are not fixed to their signifieds but point beyond themselves to other signifiers in an " indefinite referral of signifier to signified.

For a brief period each year, the rays of the sun are warm enough to melt some of the snows piled a mile deep at the base of the headwalls, and then the pinnacles glisten in the daytime at high noon, and billions of gallons of water begin their slow seepage under the glaciers and across the rockstrewn hanging valleys on their long, meandering journey to the sea -- running east past the sky-carving massifs of Gurla Mandhata and Kemchenjunga, then turning south and curling down through the jungles of Assam, past the Khasi Hills, and into Bengal, past Sirinjani and Madaripur, until the hard water of the melting snows mingles with the soft drainage of fields and at length fans out to meld with the teeming salt depths of the Bay of Bengal.

For a particularly fabulous room which houses a collection of fine English Chippendale furniture, fabric wall panels were embroidered with a typically Chinese-inspired design of this revered Eighteenth Century period.

For this period, as for earlier centuries, pottery remains the most secure source ; ;

For critics, Hardy has had no poetic periods -- one does not speak of early Hardy or late Hardy, or of the London or Max Gate period, but simply of Hardy, as of a poetic monolith.

For the year, the road earned 133 per cent of its interest costs, against 121 per cent in the preceding period.

For the first six ceremonies, the eligibility period spanned two calendar years.

For various reasons, however, poverty and personal inclination among others, he did not take a prominent part in the military operations of this period.

For most of that period, it allowed horsemen to fight while being the targets of defending arquebuseers without being easily killed.

For a period after World War I, Steiner was extremely active and well known in Germany, in part because he lectured widely proposing social reforms.

For much of artillery's history during the Middle Ages and the Early modern period, artillery pieces on land were moved with the assistance of horse teams.

For normal calculation a number zero is often needed, here most notably when calculating the number of years in a period that spans the epoch ; the end years need only be subtracted from each other.

For approximately two to three weeks on either side of November 30, Antares is not visible in the night sky, because it is near conjunction with the Sun ; this period of invisibility is longer in the Northern Hemisphere than in the Southern Hemisphere, since the star's declination is significantly south of the celestial equator.

For a detailed discussion of the differences including a more comprehensive table ( several essential tables are given below ) of Biblical scripture for both Testaments and the intertestamental period with regard to canonical acceptance in Christendom's various major traditions, see Wikipedia's article on " Biblical canon ".

For the period prior to Augustine's arrival in 597, Bede drew on earlier writers, including Solinus.

For example, George Livingstone Robinson's dissertation on chapters 9-14 concluded that those chapters had their origin in the period between 518 and 516 BCE and stand in close relation to chapters 1-8, having most probably been composed by Zechariah himself.

The sleeve notes conclude: " For six years Bill Haley was a musical director of Radio Station WPWA in Chester, Pennsylvania, and led his own band all through this period.

For private households, it is argued to be insufficient to merely dismiss debts after a certain period.

For a very brief period in 1944 the Wills band included 23 members., and around mid year he toured Northern California and the Pacific Northwest with 21 pieces in the orchestra. Billboard reported that Wills outgrossed Harry James, Benny Goodman, " both Dorsies, et al.

For some this marks the beginning of the " mature " Classical style, where the period of reaction against the complexity of the late Baroque began to be replaced with a period of integration of elements of both Baroque and Classical styles.

For some psychologists, especially those in the psychodynamic tradition, the most important period of socialization is between the ages of one and ten.

For a period ending in the mid-20th century, long-serving cardinal priests were entitled to fill vacancies that arose among the cardinal bishops, just as cardinal deacons of ten years ' standing are still entitled to become cardinal priests.

For example, during the eight-year period ending in 2008, despite overall growth in music sales and one anomalous year of increase, major-label CD sales declined overall by 20 %.

For a long period, it was the " classic " Unix desktop associated with commercial Unix workstations.

* For the period 1918-July 1919, covering only twenty provinces of central Russia: