(n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
(n.) A treatise on this science.
Example Sentences:
(1) Alphaxalone and endogenous steroid hormone metabolites inhibit the binding of [35S]-t-butyl bicyclophosphorothionate in some regions, enhance it in others and give biphasic concentration-dependence in others, apparently the result of algebraic summation of two effects involving regional-dependent enhancement or inhibition.
(2) When likelihood ratios are expressed as an algebraic function, maximum values are easily determined, hence fixing the limits of DNA analysis.
(3) Older subjects gave higher absolute error correction scores especially at the low error discriminability level, and the younger subjects did not show the negative correction bias (algebraic error) as suggested by the performance of the two older groups.
(4) Many tasks (e.g., solving algebraic equations and running errands) require the execution of several component processes in an unconstrained order.
(5) algebraic sum of these three cosine functions yielded a circadian waveform with peak-times occurring near 0300 and 1130 hr and a trough-time about 2200 hr.
(6) Parameters of quantitative genetic models have traditionally been estimated by either algebraic manipulation of familial correlations (or familial mean squares), biometric model fitting, or multiple-group covariance structure analysis.
(7) The slight diminution of this increase when (+)-erythro-DOPS was administered after inhibition of peripheral decarboxylase, might result from the algebraic sum of two inversely acting processes: suppression of NE synthesis in the capillary walls and enhancement of parenchymatous NE in some brain areas.
(8) The effect of self fertilization on the distribution of genetic types in a population can be represented algebraically by a linear transformation.
(9) Theories of denture retention have suffered from confusion of model, algebraic errors, and misapprehension of the physics of capillarity, adhesion and cohesion, as well as the role of atmospheric pressure.
(10) This derivation, stemming from first principles and founded on experimental data, does not quantitatively specify the additive (K'1) or multiplicative constant (K'2), but constrains the algebraic relationship of QT as a function of R-R.
(11) An algebraic analysis of patterns of hospitalization and case-control selection demonstrates that Berkson's bias will be avoided if both cases and controls are chosen from the community or if he = 0.
(12) By simple algebraic manipulation, Zelman introduced a pair of new reflection coefficients, and a third new parameter gamma which he misleadingly calls the "deviation from the dilute solution approximation."
(13) He merely wanted to highlight how Islam, which produced algebra and kept safe the Greek philosophers of antiquity in the middle ages, had lost its way scientifically by focusing too much on the study of religion.
(14) The graphic representation of family data for the computation of the coefficients of inbreeding [F] and relationship [r] can be replaced by an algebraic method.
(15) Traditional "stimulus-time-locked signal averaging" of human EEG, as usually practiced in both clinical and basic contexts, assumes the superposition principle of algebraic summation for a linear time series.
(16) Analysis of an algebraic model of multi-level exposure misclassification reveals that all odds ratios based on the misclassified data are constrained between the nonmisclassified odds ratio for the most extreme category and the inverse of this value.
(17) Then the integral equation is reduced to a system of algebraic equations of z - 1th degree with N + 1 unknowns.
(18) In the Appendix to this paper an algebraic relation is given which must be satisfied for two cysteine residues to make a disulfide bond.
(19) Understanding patterns that are associated with survival or death may require alternative mathematic approaches, such as group and set theory manipulated by principles of Boolean algebra.
(20) Concordance-dependent ascertainment is easily modeled algebraically; non-independent ascertainment is more complex and we here propose a model based on survival analysis.
Algorithm
Definition:
(n.) The art of calculating by nine figures and zero.
(n.) The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.
Example Sentences:
(1) In this paper we present a robust algorithm to determine automatically contours with elliptical shapes.
(2) The methodology, in algorithm form, should assist health planners in developing objectives and actions related to the occurrence of selected health status indicators and should be amenable to health care interventions.
(3) The second algorithm finds all subsequence alignments between the pattern and the test with at most k differences.
(4) An efficient numerical algorithm based on the cyclic coordinate search method to solve the latter is explained.
(5) We present the analysis both formally and in geometric terms and show how it leads to a general algorithm for the optimization of NMR excitation schemes.
(6) DATA Modern football data analysis has its origins in a video-based system that used computer vision algorithms to automatically track players.
(7) We are now conducting prospective clinical trials with one service using the algorithm and the others acting as the control group.
(8) Classic technics of digital image analysis and new algorithms were used to improve the contrast on the full image or a portion of it, contrast a skin lesion with statistical information deduced from another lesion, evaluate the shape of the lesion, the roughness of the surface, and the transition region from the lesion to the normal skin, and analyze a lesion from the chromatic point of view.
(9) With the algorithm, conserved regions of one sequence are located by doing pairwise comparisons with other sequences, which is advantageous in planning site-directed mutagenesis studies.
(10) In this article we analyze the nature of the correspondence computation and derive a cooperative algorithm that implements it.
(11) An algorithm for the treatment of cryptococcosis complicating AIDS may shorten the duration of primary intravenous AB therapy.
(12) On the basis of this limited experience, we conclude that the use of such objective standards, in a computer-operated algorithm, is more accurate than routine radiographic assessment.
(13) [In therapy] I gradually came to the view that there isn't an algorithm for these things and that even if there was, what would be the point?
(14) The signals were processed digitally using three different algorithms: 1) simple linear regression (LR); 2) linear regression with drift correction achieved by adding to, or subtracting from the plethysmographic signal a term proportional to time (LRC); 3) Fourier analysis (FFT).
(15) We used a published algorithm to assess the suspected reactions for drug causation with the following results: 40 (14%) unlikely; 193 (66%) possible; 56 (19%) probable; and 3 (1%) definite.
(16) Thus the anomalous behaviour of the ICA1 and the Nova 8 was due to a discrepancy between the standard built-in algorithm and the characteristics of our serum pools.
(17) The algorithms involved are simple and a microprocessor-based automatic PCG analysis system using the proposed technique is being contemplated.
(18) To eliminate pacing stimulus afterpotential and detect an evoked response, a hardware feedback circuit and a software template matching algorithm were used to produce a triphasic charge-balanced pacing pulse.
(19) Our results show that although kriging is a statistically optimal method, it is not markedly better than simpler interpolation algorithms, though it is considerably more complex to use.
(20) The algorithm is an improvement over the sphere model in that it considers two distinct surfaces: an ellipsoid, to model the region of the skull on which the sensors are placed, and a sphere as the medium in which the current dipole model is considered.