What's the difference between group and homomorphism?

Group


Definition:

  • (n.) A cluster, crowd, or throng; an assemblage, either of persons or things, collected without any regular form or arrangement; as, a group of men or of trees; a group of isles.
  • (n.) An assemblage of objects in a certain order or relation, or having some resemblance or common characteristic; as, groups of strata.
  • (n.) A variously limited assemblage of animals or plants, having some resemblance, or common characteristics in form or structure. The term has different uses, and may be made to include certain species of a genus, or a whole genus, or certain genera, or even several orders.
  • (n.) A number of eighth, sixteenth, etc., notes joined at the stems; -- sometimes rather indefinitely applied to any ornament made up of a few short notes.
  • (n.) To form a group of; to arrange or combine in a group or in groups, often with reference to mutual relation and the best effect; to form an assemblage of.

Example Sentences:

  • (1) A group of interested medical personnel has been identified which has begun to work together.
  • (2) Once treatment began, no significant changes occurred in Group 1, but both PRA and A2 rose significantly in Groups 2 and 3.
  • (3) This trend appeared to reverse itself in the low dose animals after 3 hr, whereas in the high dose group, cardiac output continued to decline.
  • (4) All transplants were performed using standard techniques, the operation for the two groups differing only as described above.
  • (5) after operation for hip fracture, and merits assessment in other high-risk groups of patients.
  • (6) Seventeen patients (Group 1) had had no previous surgery, while 13 (Group 2) had had multiple previous operations.
  • (7) The effects of sessions, individual characteristics, group behavior, sedative medications, and pharmacological anticipation, on simple visual and auditory reaction time were evaluated with a randomized block design.
  • (8) Urinary ANF immunoreactivity was significantly enhanced by candoxatril in both groups (P less than 0.05 and P less than 0.01 in groups 1 and 2, respectively), with a more pronounced effect evident at the higher dose (P less than 0.01).
  • (9) The second group only with Haloperidol (same dose).
  • (10) A change in the pattern of care of children with IDDM, led to a pronounced decrease in hospital use by this patient group.
  • (11) If the method was taken into routine use in a diagnostic laboratory, the persistence of reverse passive haemagglutination reactions would enable grouping results to be checked for quality control purposes.
  • (12) We considered the days of the disease and the persistence of symptoms since the admission as peculiar parameters between the two groups.
  • (13) A group I subset (six animals), for which predominant cultivable microbiota was described, had a mean GI of 2.4.
  • (14) The half-life of 45Ca in the various calcium fractions of both types of bone was 72 hours in both the control and malnourished groups except the calcium complex portion of the long bone of the control group, which was about 100 hours.
  • (15) Between 22 HLA-identical siblings and 16 two-haplotype different siblings, a significant difference in concordance of reactions for the B-cell groups was noted.
  • (16) The cumulative incidence of grade II and III acute GVHD in the 'low dose' cyclosporin group was 42% compared to 51% in the 'standard dose' group (P = 0.60).
  • (17) The intrauterine mean active pressure (MAP) in the nulliparous group was 1.51 kPa (SD 0.45) in the first stage and 2.71 kPa (SD 0.77) in the second stage.
  • (18) Biden will meet with representatives from six gun groups on Thursday, including the NRA and the Independent Firearms Owners Association, which are both publicly opposed to stricter gun-control laws.
  • (19) Another interested party, the University of Miami, had been in talks with the Beckham group over the potential for a shared stadium project.
  • (20) However, the groups often paused less and responded faster than individual rats working under identical conditions.

Homomorphism


Definition:

  • (n.) Same as Homomorphy.
  • (n.) The possession, in one species of plants, of only one kind of flowers; -- opposed to heteromorphism, dimorphism, and trimorphism.
  • (n.) The possession of but one kind of larvae or young, as in most insects.

Example Sentences:

  • (1) 64:269-286) used to evaluate the success of such refinement can be supplemented by an evaluation of density smoothness, which can also detect the presence of near structure homomorphs not identified by the former test for density flatness.
  • (2) Cytogenetic studies, the first on any Sabethes species, revealed a karyotype of three pairs of homomorphic chromosomes (2n = 6).
  • (3) Homomorphic techniques fail to account for many of these grouping phenomena, whose explanations require mechanisms of construction rather than mechanisms of detection.
  • (4) Variations in the BPD as a function of BW do not connote differences in the brain: body weight relationship, because the neurocrania of all term fetuses are not homomorphic.
  • (5) Errors arise when nodes on the mental lattices are not connected in the same way as the physical system lattice; when the latter changes so that the mental lattice no longer provides an accurate map, even as a homomorphism; or when inverse one-to-many mapping gives rise to ambiguities.
  • (6) By applying homomorphic filtering to individual beats, the occurrence of organized structures convected from their origin in the shear layer is readily identified.
  • (7) We have applied the technique to the all-female, chromosomally homomorphic gecko Lepidodactylus lugubris.
  • (8) A new method for correcting the signal intensity from surface coil (homomorphic filters) was evaluated in 40 examinations.
  • (9) Two different smoothing procedures are presented: classical, linear smoothing and nonlinear, homomorphic smoothing.
  • (10) The heterosomes which appear homomorphic in metaphases were identified by their differential polytenization.
  • (11) These are related to each other and to an objective description of the structure and function of the physical system by homomorphic mappings.
  • (12) The use of homomorphic filters is therefore safe and sensible.
  • (13) Experimental measurements to evaluate these methods were conducted for 201Tl and 99mTc SPECT using a homomorphic cardiac phantom.
  • (14) Means to partially overcome this degradation using homomorphic filtering and adaptive enhancement are presented.
  • (15) Randomly cloned DNA fragments and a poly-(GATA) containing sequence were used as probes to identify sex chromosomal inheritance and to detect differences at the molecular level between the homomorphic X and Y in the phorid fly, Megaselia scalaris.
  • (16) Those six pairs of chromosomes were uniformly homomorphic in moles, whereas at least one of them was heteromorphic in both paternal and maternal cells.
  • (17) It is pointed out that a homomorphism can correct the Cole-Moore discrepancy in delay of conductance for voltage clamp data with initial hyperpolarization.
  • (18) Of the three homomorphic chromosome pairs, only the shortest or sex pair (I) showed a consistent banding pattern.
  • (19) Curves are presented to compare the representation of the nerve conductances by the Hodgkin-Huxley equations and the new homomorphism.
  • (20) BMR varied in individual kestrels in proportion to W1.67, which is considerably steeper than the mass exponents for homomorphic change (0.667; Heusner, 1984) for interspecific comparison among all birds (0.677) or raptors (0.678), for interindividual comparison of kestrels on ad libitum maintenance regimens (0.786), and for mass proportionality (1.00).

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