What's the difference between derivative and integral?

Derivative


Definition:

  • (a.) Obtained by derivation; derived; not radical, original, or fundamental; originating, deduced, or formed from something else; secondary; as, a derivative conveyance; a derivative word.
  • (n.) That which is derived; anything obtained or deduced from another.
  • (n.) A word formed from another word, by a prefix or suffix, an internal modification, or some other change; a word which takes its origin from a root.
  • (n.) A chord, not fundamental, but obtained from another by inversion; or, vice versa, a ground tone or root implied in its harmonics in an actual chord.
  • (n.) An agent which is adapted to produce a derivation (in the medical sense).
  • (n.) A derived function; a function obtained from a given function by a certain algebraic process.
  • (n.) A substance so related to another substance by modification or partial substitution as to be regarded as derived from it; thus, the amido compounds are derivatives of ammonia, and the hydrocarbons are derivatives of methane, benzene, etc.

Example Sentences:

  • (1) The interaction of the antibody with both the bacterial and the tissue derived polysialic acids suggests that the conformational epitope critical for the interaction is formed by both classes of compounds.
  • (2) The vascular endothelium is capable of regulating tissue perfusion by the release of endothelium-derived relaxing factor to modulate vasomotor tone of the resistance vasculature.
  • (3) Leumorphin is a 29-amino-acid peptide derived from preproenkephalin B. Intracerebroventricular (i.c.v.)
  • (4) A full-length cDNA encoding porcine heart aconitase was derived from lambda gt10 recombinant clones and by amplification of the 5' end of the mRNA.
  • (5) In animal experiments pharmacological properties of the low molecular weight heparin derivative CY 216 were determined.
  • (6) In addition to their involvement in thrombosis, activated platelets release growth factors, most notably a platelet-derived growth factor (PDGF) which may be the principal mediator of smooth muscle cell migration from the media into the intima and of smooth muscle cell proliferation in the intima as well as of vasoconstriction.
  • (7) Release of 51Cr was apparently a function of immune thymus-derived lymphocytes (T cells) because it was abrogated by prior incubation of spleen cells with anti-thymus antiserum and complement but was undiminished by passage of spleen cells through nylon-wool columns.
  • (8) PMNs could be primed for PMA-triggered oxidative burst by muramyl peptide molecules (MDP) and two of its adjuvant active nonpyrogenic derivatives.
  • (9) Recent studies have shown that an aberration in platelet-derived growth factor gene expression is unlikely to be a factor in proliferation of smooth-muscle cells.
  • (10) The macrophage-derived product, interleukin 1 (IL 1) is thought to play an important regulatory role in the proliferation of T lymphocytes; however, its mechanism of action is unknown.
  • (11) In the upper limb and facial forms of familial amyloidotic polyneuropathy first recorded in Swiss and Finns respectively, the differences in their patterns of neurological disease and ocular lesions could be the result of their amyloids deriving from proteins other than prealbumin.
  • (12) The antiproliferative activity of IFN was studied using the parental L cell line, a tk- derivative, and a tk- (tk+) subline into which the tk gene of herpes simplex virus was introduced.
  • (13) Bipolar derivations with the maximum PSE always included the locations with the maximum PSE obtained from a linked ears reference.
  • (14) Only those derivatives with a free amino group and net positive charge in the side chain were effective.
  • (15) Northern blot analysis with an 18-mer radiolabelled oligonucleotide, derived from an ALP specific cDNA clone, revealed a specific mRNA of about 700-800 nucleotides in HS-24 tumor cells.
  • (16) The mortality data were derived from the reports by Miyagi Prefectural Government.
  • (17) Ferrocene derivatives, in general, show a degree of versatility, coupling the electron-transfer reactions of many enzymes.
  • (18) The ADAM derivative of carnitine was separated from decomposition products of the reagent and related compounds such as amino acid derivatives on a silica gel column eluted with methanol-5% aqueous SDS-phosphoric acid (990:10:1).
  • (19) This doxorubicin derivative did not bind to Sepharose which was conjugated with cardiac actin.
  • (20) In the triploids, the 40 female chromosomes present (mouse, n = 20) were derived from a single diploid pronucleus formed after the extrusion of a first polar body, and following the monospermic fertilization of primary oocytes.

Integral


Definition:

  • (a.) Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
  • (a.) Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
  • (a.) Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
  • (a.) Pertaining to, or proceeding by, integration; as, the integral calculus.
  • (n.) A whole; an entire thing; a whole number; an individual.
  • (n.) An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.

Example Sentences:

  • (1) Some common eye movement deficits, and concepts such as 'the neural integrator' and the 'velocity storage mechanism', for which anatomical substrates are still sought, are introduced.
  • (2) The influence of the various concepts for the induction of lateral structure formation in lipid membranes on integral functional units like ionophores is demonstrated by analysing the single channel current fluctuations of gramicidin in bimolecular lipid membranes.
  • (3) "As the investigation remains live and in order to preserve the integrity of that investigation, it would not be appropriate to offer further comment."
  • (4) The data on mapping the episomal plasmid integration sites in yeast chromosomes I, III, IV, V, VII, XV are presented.
  • (5) The coefficient of variation in the integrated area of a single peak is 16%.
  • (6) It is likely that trunk mobility is necessary to maintain integrity of SI joint and that absence of such mobility compromises SI joint structure in many paraplegics.
  • (7) The purpose of this paper is to discuss the potential for integrating surveillance techniques in reproductive epidemiology with geographic information system technology in order to identify populations at risk around hazardous waste sites.
  • (8) Breast reconstruction should not be limited to the requiring patients, but should represent, in selected cases with favourable prognosis, an integrative and complementary procedure of the treatment.
  • (9) The authors conclude that H. pylori alone causes little or no effect on an intact gastric mucosa in the rat, that either intact organisms or bacteria-free filtrates cause similar prolongation and delayed healing of pre-existing ulcers with active chronic inflammation, and that the presence of predisposing factors leading to disruption of gastric mucosal integrity may be required for the H. pylori enhancement of inflammation and tissue damage in the stomach.
  • (10) We conclude that neuronal activities in the region of the retrofacial nucleus are important both in the integration of stimuli from the central chemoreceptors and in defining the discharge patterns of respiratory neurons.
  • (11) Only Arteparon had a favorable effect on the integrity of the articular surface.
  • (12) The process of integrating the two banks is expected to take three years, with predictions that up to 25,000 roles could eventually be eliminated.
  • (13) Angus (A), Charolais (C), Hereford (H), Limousin (L), and Simmental (S) breeds were included in deterministic computer models simulating integrated cow-calf-feedlot production systems.
  • (14) Their levels in urine are a useful indicator of the integrity of membrane barriers of the kidney glomerular capillary wall.
  • (15) The resistance of GSA 65 to proteolytic degradation, together with previous immunofluorescence data that indicate the antigen is an integral part of the G. lamblia cyst wall, suggests that this molecule may play a role in maintaining the integrity of the cyst in vivo.
  • (16) It is intended to aid in finding the appropriate PI (proportional-integral) controller settings by means of computer simulation instead of real experiments with the system.
  • (17) Coup leader Captain Amadou Sanogo on Friday pleaded for foreign help to preserve the territorial integrity of the former French colony, a major gold and cotton producer.
  • (18) The problem-based system provides a unique integration of acquiring theoretical knowledge in the basic sciences through clinical problem solving which was highly rated in all analysed phases.
  • (19) These included: 1) association of infectious processes with other laboratory results; 2) a feeling of integration with the patient and health care team; and 3) the introduction of medical terminology.
  • (20) Based on the results of the Community AIM Exploratory Action, further collaborative work is required at EEC level to create an Integrated Health Information Environment (IHE) allowing essentially for integration, modularity and security.