What's the difference between jacobian and operator?

Jacobian


Definition:

  • (a.) Of or pertaining to a style of architecture and decoration in the time of James the First, of England.

Example Sentences:

  • (1) A modified perturbation method (MPM) arising from the replacement of the sensitivity matrix by the Jacobian matrix is presented.
  • (2) A variable Jacobian and weighted backprojection algorithm, used for medical CT, was adapted to perform CT reconstructions on data obtained with a dental panoramic x-ray unit.
  • (3) Ranks of Jacobian matrices and submatrices and other criteria are used to check patterns of moment invariants and local identifiability.
  • (4) It is shown that the stability modulus of the Jacobian matrix at the no-disease equilibrium is a threshold for this model.
  • (5) Transformations of these potentials by means of Jacobians give linkage relations for equilibrium thermodynamics.
  • (6) Using this fact, the approximate solution of this problem could be obtained by analyzing the spectrum of eigenvalues of the Jacobian matrix for the linearized system.

Operator


Definition:

  • (n.) One who, or that which, operates or produces an effect.
  • (n.) One who performs some act upon the human body by means of the hand, or with instruments.
  • (n.) A dealer in stocks or any commodity for speculative purposes; a speculator.
  • (n.) The symbol that expresses the operation to be performed; -- called also facient.

Example Sentences:

  • (1) All transplants were performed using standard techniques, the operation for the two groups differing only as described above.
  • (2) after operation for hip fracture, and merits assessment in other high-risk groups of patients.
  • (3) Twenty-seven patients were randomized to receive either 50 mg stanozolol or placebo intramuscularly 24 h before operation, followed by a 6 week course of either 5 mg stanozolol or placebo orally, twice daily.
  • (4) Of the patients 73% demonstrated clinically normal sensibility test results within 23 days after operation.
  • (5) Seventeen patients (Group 1) had had no previous surgery, while 13 (Group 2) had had multiple previous operations.
  • (6) Use of the improved operative technique contributed to reduction in number of complications.
  • (7) Life expectancy and the infant mortality rate are considered more useful from an operational perspective and for comparisons than is the crude death rate because they are not influenced by age structure.
  • (8) Together these results suggest that IVC may operate as a selective activator of calpain both in the cytosol and at the membrane level; in the latter case in synergism with the activation induced by association of the proteinase to the cell membrane.
  • (9) At operation, the tumour was identified and excised with part of the aneurysmal wall.
  • (10) Sixteen patients were operated on for lumbar pain and pain radiating into the sciatic nerve distribution.
  • (11) No consistent relationship could be found between the time interval from SAH to operation and the severity of vasospasm.
  • (12) In order to control noise- and vibration-caused diseases it was necessary not only to improve machines' quality and service conditions but also to pay special attention to the choice of operators and to the quality of monitoring their adaptation process.
  • (13) The present findings indicate that the deafferented [or isolated] hypothalamus remains neuronally isolated from the environment if the operation is carried out later than the end of the first week of life.
  • (14) At the fepB operator, a 31 base-pair Fur-protected region was identified, corresponding to positions -19 to +12 with respect to the transcriptional start site.
  • (15) In the past 6 years 26 patients underwent operation for recurrent duodenal ulcer after what was considered to be an "adequate" initial operation.
  • (16) The operative arteriograms confirmed vascular occlusive phenomenon.
  • (17) The reference library used in the operation of a computerized search program indicates the closest matches in the reference library data with the IR spectrum of an unknown sample.
  • (18) And that, as much as the “on water, operational” considerations, is why we are being kept in the dark.
  • (19) Six of the patients were operated using the McIndoe and Bannister technique while on the other two the Tobin and Day technique was used.
  • (20) Focusing on two prospective payment systems that operated concurrently in New Jersey, this study employs the hospital department as the unit of analysis and compares the effects of the all-payer DRG system with those of the SHARE program on hospitals.

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