zeroth

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zeroth

(jargon)
First.

Since zero is the lowest value of an unsigned binary integer, which is one of the most fundamental types in programming and hardware design, it is often natural to count from zero rather than one, especially when the integer is actually an index, as in hardware addressing or C and Lisp's 0-based indexing of arrays.

Hackers and computer scientists often like to call the first chapter of a publication "Chapter 0", especially if it is of an introductory nature (one of the classic instances was in the First Edition of K&R). In recent years this trait has also been observed among many pure mathematicians (who have an independent tradition of numbering from 0).

Zero-based numbering tends to reduce fencepost errors, though it cannot eliminate them entirely.

Logically, the next item after the zeroth should be the "oneth" but this is never used.
References in periodicals archive ?
Caption: Figure 2: The diffraction intensities of the liquid crystal gratings in zeroth and the first orders were recorded as a function of time, using an applied voltage of ~4.0V.
Lemma 2 In a circulant matrix with length [lambda] and column weight 2, let 0 and [rho] be positions of 1 in the zeroth row, where 0 < [rho] [less than or equal to][lambda]-1.
While executing OHAM formulation for the solution of FIDE, it generates a series of problems: the expressions for zeroth order, first order and second order problems and their solutions are given below as:
One of the ways to calculate the MWD for branched polymer is numerical fractionation, where the whole polymer population is classified into number of classes based on the number of branches  (e.g., linear polymers belong to zeroth class, polymers with one LCB go to Class 1, and so on.).
Differentiating the zeroth order deformations (14) m times with respect to the embedding parameter q and then setting q = 0 and finally dividing theme by m!, we get the following mth order deformation equation:
"We're running up against walls," says Jeff Gehlhaar, the Qualcomm vice president of technology who heads the Zeroth engineering team.
This cannot be allowed, simply based on the zeroth law of thermodynamics, if both cavities are said to be at the same temperature.
Solutions of the zeroth order equations (10) using boundary conditions (12) are
Substituting (10) into (9) we get the following zeroth and first order equations of [E.sub.c]:
 proposed that the construction of the zeroth component of the decomposition series can be defined in a slightly different way.
Thus, as q varies from 0 to 1, the solution [[phi].sub.n] (t, q) varies from [v.sub.n0] (t) to [v.sub.n] (t), where [v.sub.n0](t) is the zeroth order solution and can be obtained from (10).

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