Instead, define Q ( h ) to be the difference quotient as a function of h:

Instead of considering the inverses for individual inputs and outputs, one can think of the function as sending the whole set of inputs, the domain, to a set of outputs, the range.

Instead, this function is assigned to the endpoints of each communication session.

Instead of the accumulation of knowledge, a time-based, conditioning function he identified with the past, he stressed observation as a continuous process of learning, a timeless process that happens always in the present.

Instead the programmer may write a method on the generic function, this will be invoked when the object is printed.

Instead, as the temperature changes, it loses value in one membership function while gaining value in the next.

Instead of a linear driving device, one may use a nonlinear update function.

Instead of using the areas of rectangles, which put the focus on the domain of the function, Lebesgue looked at the codomain of the function for his fundamental unit of area.

Instead, they cause incorrect folding ( disrupting function ) or disable intracellular transport.

Instead, that function is served by the Counties of Sweden.

Instead of approximating n !, one considers its natural logarithm as this is a slowly varying function:

" Instead, Laborde advocates a view of 120 Days of Sodom that stresses the signifying, as opposed to the symbolizing, function of Sadian language and person.

Instead of a zoom function, a special magnification mode called FatBits was used.

Instead, they attempt to adopt a more evolutionary perspective, positing that economic reasoning might be basic, unlearned, and serve some adaptive function.

Instead, that function is served by the counties of Sweden.

Instead, that function is served by Counties of Sweden ; however, in many instances a county has virtually the same border as the province, which is the case with Värmland and its corresponding county Värmland County.

Instead, the number and type of the arguments to the function call are also used to select among several function implementations.

In general, a pricing model function, f, does not have a closed-form solution for its inverse, g. Instead, a root finding technique is used to solve the equation:

Instead of supplying complete combat divisions, its function was to round out regular formations by supplying units of up to battalion size ( including infantry, light artillery and formation reconnaissance ), and to supply extra support functions such as engineers, medical units and military police.

Instead, to break the random oracle assumption, one must discover some unknown and undesirable property of the actual hash function ; for good hash functions where such properties are believed unlikely, the considered protocol can be considered secure.

Instead, he appointed the Sri Guru Granth Sahib, the Sikh holy book, as his successor as Guru instead of a possibly fallible human ; and due to the faith's belief in complete equality, women can participate in any religious function and / or perform any Sikh ceremony and / or lead the congregation in prayer.

Instead, some combination of that calculated wave function and the previous wave functions for that electron is used — the most common being a simple linear combination of the calculated and immediately preceding wave function.

Instead of emotional recrimination, loaded phrases and sloganeering, we need a dispassionate study of the facts, a better understanding of the opposite viewpoint and a more serious effort to extend the areas of agreement until a solution is reached.

Instead of Catholics' being obliged or even encouraged to beget the greatest possible number of offspring, as many Non-Catholics imagine, the ideal of responsible parenthood is stressed.

Instead -- and not just to prove my objectivity -- I hasten to report that it's a highly amusing film which probably does a fairly accurate job of reporting on the Easter vacation shenanigans of collegians down in Fort Lauderdale, and that it seems to come to grips quite honestly with the moral problem that most commonly vexes youngsters in this age group -- that is to say, sex.

Instead of her old confidence in the simplest, purest, most moving musical expression, Miss Schwarzkopf is letting herself be tempted by the classic sin of artistic pride -- that subtle vanity that sometimes misleads a great artist into thinking that he or she can somehow better the music by bringing to it something extra, some personal dramatic touch imposed from the outside.

Instead, the element is prepared, in milligram amounts, by the neutron irradiation of < sup > 226 </ sup > in a nuclear reactor.

Instead, providence is a power that emanates from the heavens to the sublunar region, and is responsible for the generation and destruction of earthly things, without any direct involvement in the lives of individuals.

Instead, it is negotiated by or configured at the endpoints on a per-virtual-connection basis.

Instead of the gradual transition through the capillaries from arteries to veins that is typical of normal functioning vasculature, AVMs cause direct associations of the arteries and veins.

Since the 2002 edition, the Apostles ' Creed is included in the Roman Missal with the indication, " Instead of the Niceno-Constantinopolitan Creed, especially during Lent and Easter time, the baptismal Symbol of the Roman Church, known as the Apostles ’ Creed, may be used.

Instead, it is put in parallel with chapter 4 ( C ) where divine judgements are pronounced against the Babylonian kings.

Instead, the Hebrew name Ahasuerus accords with an inscription of the time that notes that Artaxerxes II was named also Arshu, understood as a shortening of Achshiyarshu the Babylonian rendering of the Persian Khshayarsha ( Xerxes ), through which the Hebrew Achashverosh ( Ahasuerus ) is derived.

Instead, Pasternak was told, " Comrade Stalin is busy.

Instead it is part of the Intelligence and Security Directorate ( DIS ) which reports directly to the Minister of the Presidency.

Instead, murder is treated as a civil crime and is covered by the law of retaliation, whereby the relatives of the victim decide whether the offender is punished with death by the authorities or made to pay diyah as compensation.

Instead of listing every single element, sometimes an ellipsis ("...") is used, if the writer believes that the reader can easily guess what is missing ; for example, presumably denotes the set of integers from 1 to 100.

Instead, these efforts, it is argued, were made in order to advance Western development and reinforce Western hegemony.

Instead, the decree states that Christ is " really, truly, substantially present " in the consecrated forms.

Instead, non-return-to-zero, inverted encoding is used: a change from pit to land or land to pit indicates a one, while no change indicates a series of zeros.

Instead, it is important that support for the CRM system is companywide.

Instead, this is just an indication that sugar and / or fat has separated due to poor storage.