What's the difference between homomorphism and isomorphism?

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).

Isomorphism


Definition:

  • (n.) A similarity of crystalline form between substances of similar composition, as between the sulphates of barium (BaSO4) and strontium (SrSO4). It is sometimes extended to include similarity of form between substances of unlike composition, which is more properly called homoeomorphism.

Example Sentences:

  • (1) The experimental results for protein preparations of calmodulin in which Ca2+ was isomorphically replaced by Tb3+ were obtained by a spectrometer working at the Institute of Nuclear Physics.
  • (2) The structure is isomorphous to native FdI except at the site of mutation where A24 moves toward the [4Fe-4S] cluster.
  • (3) We have found a good correlation between dysmorphic erythrocyturia and glomerular diseases and between isomorphic erythrocyturia and nonglomerular changes.
  • (4) The mutant proteins were screened for their ability to crystallize into the orthorhombic form and bind mercury ions isomorphously.
  • (5) The structure was determined by X-ray diffraction using the isomorphous replacement technique.
  • (6) By using this method, slowly and rapidly adapting primary afferents were shown to transmit isomorphic neural images of the letters.
  • (7) All the crystals of these myoglobins are isomorphous with that of native metmyoglobin.
  • (8) The structure was refined crystallographically, by restrained least-squares methods, starting with a model based on the isomorphous diferric structure from which the ligands, metal ions, anions, and solvent molecules had been deleted.
  • (9) Fluoroaluminates or fluoroberyllates are isomorphous to Pi, and the inhibitory nucleotide-fluorometal complexes mimicked transient intermediates of nucleotides that appeared in the course of ATP hydrolysis.
  • (10) The space group is P212121 with unit cell dimensions a = 49.40 A, b = 46.71 A, c = 41.02 A for the complex with 2'AMP and a = 48.97, b = 46.58 A, c = 40.97 A for the complex with 2'UMP, both of which are poorly isomorphous to the mother crystals.
  • (11) Three heavy atom isomorphous derivatives were used for the X-ray analysis of the holo form of NAD-dependent bacterial formate dehydrogenase (ternary complex enzyme-NAD-azide) at 3.0 A resolution.
  • (12) The LD isomorphic pattern was found in 60% of AMI patients complicated by cardiogenic shock.
  • (13) We found the isomorphic phenomenon, that is, lesions appearing at sites of skin trauma, in 19 of the 22 study subjects; photodistribution of skin lesions in 15 of the 22, grouping of the lesions over the elbow and knees in 7 of the 22, and nailfold involvement in 7 of the 22.
  • (14) An equally powerful computer program for testing isomorphism of graphs based on the adjacency matrix power method is introduced.
  • (15) This facial wiping response is isomorphic with that of older pups and adult rats exposed to aversive oral stimulation.
  • (16) These isomorphous phospholipid mixtures exhibit nearly ideal mixing behavior.
  • (17) Light microscope examination found clusters of isomorphic cells separated by a dense fibrillar matrix.
  • (18) An interpretable electron density map calculated at 2.5 A resolution was obtained by the combination of multiple isomorphous replacement with four heavy atom derivatives, molecular averaging and solvent flattening.
  • (19) This corresponds approximately to the R-factor calculated for the X-ray crystal structure previously determined using the isomorphous replacement technique, if the residues 1 to 4 and 74 and all localized solvent molecules were removed from this structure.
  • (20) By characterizing isomorphism in reciprocal space [i.e.

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