But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

Such a system is said to have an infinite impulse response ( IIR ).

Such fiction is said to emphasize the fact that human consciousness, being finite in nature, can never make complete sense of, or successfully order, a universe that is infinite in its aspects and possibilities.

Such proofs presume the existence of a totality that is complete, a notion disallowed by intuitionists when extended to the infinite — for them the infinite can never be completed:

Such systems have ( in the classical limit ) an infinite number of normal modes and their oscillations occur in the form of waves that can characteristically propagate.

Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.

Such a number is infinite, and its inverse is infinitesimal.

" By the eighteenth century, " man " had come to refer primarily to males ; some writers who wished to use the term in the older sense deemed it necessary to spell out their meaning: Anthony Trollope, for example, writes of " the infinite simplicity and silliness of mankind and womankind " and when " Edmund Burke, writing of the French Revolution, used men in the old, inclusive way, he took pains to spell out his meaning: ' Such a deplorable havoc is made in the minds of men ( both sexes ) in France ....'"

Such an automaton is called infinite tree automaton

Such infinite summations are known as series.

Such faith is no common or easy thing, but is a relation to the Absolute which Defies reason, and can be won and held only in an infinite passion.

Such sets include the set of all prime numbers, the set of all integers, the set of all rational numbers, the set of algebraic numbers, the set of binary strings of all finite lengths, and the set of all finite subsets of any countably infinite set.

Such dualism risks an infinite regress however ; if any such mind is real, it is still subject to the standard argument against free will.

Such papers quickly disappear into the infinite junk heap of fringe ideas.

Such higher-order terms are required in order to accurately represent the displacement function as a sum of an infinite series, enabling several analytical techniques in engineering and physics.

Such a modification implies that the phasor travels along an arc of infinite radius by, where is the multiplicity of the pole on the imaginary axis.

Such, an irresistible force cannot exist because it would require an infinite amount of energy which is not possible in a finite universe.

Such abilities are vital, as many challenging obstacles exist throughout the game, and enemies are virtually infinite.

Such loans under Section 104 ( E ) of the Act will be made to United States business firms and branches, subsidiaries, or affiliates of such firms in India for business development and trade expansion in India and to United States firms and to Indian firms for the establishment of facilities for aiding in the utilization, distribution, or otherwise increasing the consumption of and markets for United States agricultural products.

Such products are generally disparaged by audiophiles, although some high-end manufacturers do produce integrated systems.

Such products reduce the use of raw materials for framing and stuffing and reduce transportation weight and volume to about 15 % of that of conventional furniture ;

Such references also occur in London advertisements for unrelated products and services.

Such compounds are termed spiro and are important in a number of natural products.

Such glycine-alanine repeats are also found in nature, for example in silk fibroin ; in particular, certain Epstein-Barr virus gene products bearing this sequence can stall the proteasome, helping the virus propagate by preventing antigen presentation on the major histocompatibility complex.

Such products are generically called internal products, as they can be described by the generic notion of a monoidal category.

Such a provision would have undercut the original purpose of the legislation, which was to provide pharmaceutical companies a financial incentive to more throughly characterize the safety and efficacy of pharmaceutical products in pediatric patients.

Such finished goods may be used for manufacturing other, more complex products, such as aircraft, household appliances or automobiles, or sold to wholesalers, who in turn sell them to retailers, who then sell them to end users – the " consumers ".

Such Sweet Thunder ( 1957 ), based on Shakespeare's plays and characters, and The Queen's Suite, dedicated to Queen Elizabeth II, were products of the renewed impetus which the Newport appearance helped to create.

Such " secondary " tribes, he suggested, actually came about as modern products of state expansion.

Such products have been designed for Alessi ( company ) | Alessi, Pirelli, and others.

Such " businesses " seldom involve sales of real products or services to which a monetary value might be easily attached.

Such mixtures allow for the production of products which are low in fats and / or sugars.

Such world-famous products goes a long way to create a thriving domestic sector.

Such laws increase the price of products entering or leaving the island.

Such products were traded across a wide area.

Such products were traded across the country and abroad.

Such products with concentrations of 30 parts per million ( ppm ) or less are typically manufactured using an electrolysis process, whereas those with higher concentrations of 50 ppm or more are usually silver compounds that have been bound with a protein.

Such products are baseballs, bats, and golf clubs by Campbell Mfg, Wilsons, Worth Sports, and Rawlings.

Such high-temperature corrosion products, in the form of compacted oxide layer glazes, prevent or reduce wear during high-temperature sliding contact of metallic ( or metallic and ceramic ) surfaces.

Such data is incorporated into both NOAA and NGA products and the Corps engages in efforts to improve hydrographic collection methods.

Such server-to-server gateways are offered by several enterprise IM software products, including:

Such models are continually being refined based on particle physics experiments ( which measure nuclear reaction rates ) and astronomical observations ( which include direct observation of mass loss, detection of nuclear products from spectrum observations after convection zones develop from the surface to fusion-burning regions – known as ' dredge-up ' events – and so bring nuclear products to the surface, and many other observations relevant to models ).