What's the difference between approximation and interpolation?

Approximation


Definition:

  • (n.) The act of approximating; a drawing, advancing or being near; approach; also, the result of approximating.
  • (n.) An approach to a correct estimate, calculation, or conception, or to a given quantity, quality, etc.
  • (n.) A continual approach or coming nearer to a result; as, to solve an equation by approximation.
  • (n.) A value that is nearly but not exactly correct.

Example Sentences:

  • (1) Between 25 and 40 degrees C, the thermal dependencies of VR and f were approximately constant (Q10's of 1.31 and 1.36 got VR and f, respectively).
  • (2) The proportion of teeth per child with calculus was approximately 8 percent for supragingival and 4 percent for subgingival calculus.
  • (3) 5-Azacytidine (I) stability was increased approximately 10-fold over its stability in water or lactated Ringer injection by the addition of excess sodium bisulfite and the maintenance of pH approximately 2.5.
  • (4) This time is approximately six months for the neuroleptics given orally, one month for antidepressants, and five and a half half-lives for benzodiazepines.
  • (5) After 55 days of unrestricted food availability the body weight of the neonatally deprived rats was approximately 15% lower than that of the controls.
  • (6) In the clinical trials in which there was complete substitution of fat-modified ruminant foods for conventional ruminant products the fall in serum cholesterol was approximately 10%.
  • (7) Only the approximately 2.7 kb mRNA species was visualized in Northern blots of total cellular and poly(A+) RNA isolated from cardiac ventricular muscle.
  • (8) The enzyme was solubilized by Triton X-100 and purified approximately 480-fold by gel filtration and affinity chromatography on alanine methyl ketone-AH-Sepharose 4B.
  • (9) The Cao-dependent Na+ efflux was half-maximally activated by [Ca2+]o = 2.0 mM in LiSW and 7.2 mM in Tris-SW; at saturating [Ca2+]o, [Ca2+]i, and [Na+]i the maximal (calculated) Cao-dependent Na+ efflux was approximately 75 pmol#cm2.s.
  • (10) The DNA untwisting enzyme has been purified approximately 300-fold from rat liver nuclei.
  • (11) The molecular weight of antigen RFB2 was estimated to be approximately 85,000 daltons based on the results of gel filtration on Sepharose CL-6B.
  • (12) Approximately 90% of the patients have a lambda light chain myeloma protein and almost all patients excrete Bence-Jones protein.
  • (13) With glucose and protein as intraduodenal stimulus (no pancreatin added), the plasma amino acids rose significantly less (by approximately 50% of the control experiment) and the increment in insulin (but not C-peptide) concentrations was significantly reduced by loxiglumide.
  • (14) Plasma fibrinogen decreased by approximately 7% due to hemodilution caused by plasma volume expansion.
  • (15) The estimated DNA compaction ratio (approximately 3-fold) is consistent with a significant degree of nucleosome unfolding in the hyperstimulated BR genes.
  • (16) Each species has approximately 500 core histones cluster repeats per haploid genome.
  • (17) This gene, termed cbbE', codes for a putative surface protein of approximately 55 kDa, termed the E' protein.
  • (18) The total content of both thyroid hormones in the oocytes increased throughout most of the ovarian cycle as the oocytes increased in size from less than 2 mg to approximately 6.5 mg by ovulation.
  • (19) Sonographic images of the gallbladder enable satisfactory approximation of gallbladder volume using the sum-of-cylinders method.
  • (20) Replacement of Na+ by K+ or Li+ did not alter uptake, whereas replacement of Cl- by HCO-3 or gluconate- reduced uptake by approximately 40%.

Interpolation


Definition:

  • (n.) The act of introducing or inserting anything, especially that which is spurious or foreign.
  • (n.) That which is introduced or inserted, especially something foreign or spurious.
  • (n.) The method or operation of finding from a few given terms of a series, as of numbers or observations, other intermediate terms in conformity with the law of the series.

Example Sentences:

  • (1) However, this deficit was observed only when the sample-place preceded but not when it followed the interpolated visits (second experiment).
  • (2) V4-V5-the interpolated value between 40 and 50 is indicated-i.e.
  • (3) Our analysis showed that the interpolation errors are proportional to the curvature of the dose distribution and are relatively high in regions on either side of, but not including, the steepest part of the penumbra.
  • (4) 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.
  • (5) A formal notion of relatability is defined, specifying which physically given edges leading into discontinuities can be connected to others by interpolated edges.
  • (6) The retrospective, prospective and "Status Quo" methods were used; age was recorded as the recalled date, the mid-interval interpolated date and the age at examination; and called "real" age (RA), "interval" age (IA) and "visit" age (VA).
  • (7) We have compared three interpolation methods (surface splines, spherical splines and tridimensional interpolation functions).
  • (8) Zones of nonreset due to interference, reset, interpolation and sinus echoes were defined by noting the timing of the first response after A2.
  • (9) In examining two different sets of experiments, it is proposed that staggered joint interpolation is the underlying planning strategy.
  • (10) The dose of cold air expressed as the level of ventilation causing a 20% change in FEV1 (PD20) was interpolated from individual dose-response curves.
  • (11) Quantitation of specific ELISA antibody was achieved by interpolation from a calibation curve.
  • (12) The two organisations signed a 10-year agreement in 2011 to provide funds to combat match-fixing but Interpol’s secretary general, Jürgen Stock, said the decision to freeze cooperation had been made “in light of the current context” surrounding Fifa.
  • (13) Computer simulations, phantom measurements, and clinical studies were used in evaluating the SSP and noise characteristics of two new section-interpolation algorithms.
  • (14) In a third experiment every second image was deleted and the rest of the images were 'disordered', realigned and the missing planes reconstructed by interpolation.
  • (15) Interpol said that in the case of Flight MH370: "No checks of the stolen Austrian and Italian passports were made by any country between the time they were entered into Interpol's database and the departure of the flight."
  • (16) As the subjects in the present study were not able to produce a vowel at target intensities and frequencies, the data were interpolated to 65 dB (A) intensity level for comparison purposes.
  • (17) On Thursday, the Russian office of Interpol requested an international search for Mikhail Khodorkovsky , a former oligarch and Putin critic who fled to Switzerland after he was released from prison on a presidential pardon in 2013.
  • (18) There was considerable confusion over the warrant, which a German government spokesman said on Monday came via Interpol’s “red notice” system, though both Mansour and Interpol said no such red notice exists against his name.
  • (19) The content of Met-enk in other discrete brain areas can be quantified by interpolation of the OD determined by autoradiography in the standard curve.
  • (20) Two interpolative background subtraction methods used in scintigraphy are tested using both phantom and clinical data.

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