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For such problems, to achieve given accuracy, it takes much less computational time to use an implicit method with larger time steps, even taking into account that one needs to solve an equation of the form (1) at each time step. That said, whether one should use an explicit or implicit method depends upon the problem to be solved.
An implicit data structure is one with constant O(1) space overhead (above the information-theoretic lower bound).. Historically, Munro & Suwanda (1980) defined an implicit data structure (and algorithms acting on one) as one "in which structural information is implicit in the way data are stored, rather than explicit in pointers."
In the C family of languages and ALGOL 68, the word cast typically refers to an explicit type conversion (as opposed to an implicit conversion), causing some ambiguity about whether this is a re-interpretation of a bit-pattern or a real data representation conversion. More important is the multitude of ways and rules that apply to what data ...
Both implicit and explicit memory are types of long-term memory, which is defined by the transfer of information from short-term memory into long-term storage in order to create enduring memories ...
Rod Ellis significantly advanced the study of implicit and explicit knowledge in SLA through a systematic psychometric approach aimed at operationalizing and validating these constructs. Ellis emphasized the critical need for reliable measures to distinguish between the two types of knowledge, arguing that much of SLA research suffered from ...
An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments. [ 1 ] : 204–206 For example, the equation x 2 + y 2 − 1 = 0 {\displaystyle x^{2}+y^{2}-1=0} of the unit circle defines y as an implicit function ...
An implicit surface is the set of zeros of a function of three variables. Implicit means that the equation is not solved for x or y or z . The graph of a function is usually described by an equation z = f ( x , y ) {\displaystyle z=f(x,y)} and is called an explicit representation.
The unit circle can be specified as the level curve f(x, y) = 1 of the function f(x, y) = x 2 + y 2.Around point A, y can be expressed as a function y(x).In this example this function can be written explicitly as () =; in many cases no such explicit expression exists, but one can still refer to the implicit function y(x).