What's the difference between constant and dimensionless?

Constant


Definition:

  • (v. t.) Firm; solid; fixed; immovable; -- opposed to fluid.
  • (v. t.) Not liable, or given, to change; permanent; regular; continuous; continually recurring; steadfast; faithful; not fickle.
  • (v. t.) Remaining unchanged or invariable, as a quantity, force, law, etc.
  • (v. t.) Consistent; logical.
  • (n.) That which is not subject to change; that which is invariable.
  • (n.) A quantity that does not change its value; -- used in countradistinction to variable.

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) By 24 hr, rough endoplasmic reticulum in thecal cells increased from 4.2 to 7% of cell volume, while the amount in granulosa cells increased from less than 3.5% to more than 10%; the quantity remained relatively constant in the theca but declined to prestimulation values in the granulosa layer.
  • (3) The norepinephrine values remained constant on the three days.
  • (4) At the same time the duodenum can be isolated from the stomach and maintained under constant stimulus by a continual infusion at regulated pressure, volume and temperature into the distal cannula.
  • (5) Rise time and fall time constants have been quantified for describing kinetics of response.
  • (6) Standard nerve conduction techniques using constant measured distances were applied to evaluate the median, ulnar and radial nerves.
  • (7) The stopped-flow technique was used to measure the rate constants for the reactions between the oxidized forms of peroxidase with luminol and the following substrates: p-iodophenol, p-bromophenol, p-clorophenol, o-iodophenol, m-iodophenol, luciferin, and 2-iodo-6-hydroxybenzothiazole.
  • (8) The family comprises at least three variable (V) gene segments, three constant (C) gene segments, and three junction (J) gene segments.
  • (9) This value is about 30 times higher than the association constant for guanine-cytosine base pair formation under the same experimental conditions.
  • (10) There is a relationship between the duration of stimulation (t) and the total heat production (H) of the type H = A plus bt, where A and b are constants.
  • (11) Naloxone injection into those rats exposed to constant illumination significantly increased hypothalamic levels of beta-endorphin compared to saline injected controls.
  • (12) [5alpha-(3)H]5alpha-Androst-16-en-3-one (5alpha-androstenone) was infused at a constant rate for 180min into the spermatic artery of a sexually mature boar.
  • (13) The birds were maintained at a constant temperature in, dim green light.
  • (14) We previously established that the binding constant (Ka) of this receptor site for the chemically synthesized model AGE, 2-(2-furoyl)-4(5)-(2-furanyl)-1H- imidazole-butyric acid (FFI-BA), on cells of the mouse macrophagelike cell line RAW 264.7 is identical to that for AGE proteins.
  • (15) On the other hand, if we correct for the population of HMM with degraded light chain 2, the difference in the binding constants in the presence and absence of Ca2+ may be as great as 5-fold.
  • (16) The matter is now in the hands of the Guernsey police and the law officers.” One resident who is a constant target of the paper and has complained to police, Rosie Guille, said the allegations had a “huge impact on morale” on the island.
  • (17) Stability of kinetic constants for a long period of time is demonstrated.
  • (18) The association constants K'A, KN, and K'N in the scheme (see article), were determined for the magnesium salts of ADP, adenyl-5'-yl imidodiphosphate AMP-P(NH)P, and PPi.
  • (19) As total pancreatectomy markedly reduces the pancreatic hormone level, leading to a mortal hypoglycaemia, we attempted to maintain plasma glucose within the normal range by constant I.V.
  • (20) Utilizing a range of operative Michaelis-Menten parameters that characterize phenytoin elimination via a single capacity-limited pathway, a situation assuming instantaneous absorption (case I) is compared with the situation in which continuous constant-rate absorption occurs (case II).

Dimensionless


Definition:

  • (a.) Without dimensions; having no appreciable or noteworthy extent.

Example Sentences:

  • (1) Using the hypothesis that the biodynamical efficiency may not be greater than the inverse age rate beta, a dimensionless number is constructed, which is given by the product of age rate beta and the theoretical lifespan T.
  • (2) Dimensionless similarity criteria were used to produce a biological clock for ceftizoxime elimination.
  • (3) The nonideality of all three colligative expressions is described by a dimensionless constant called the solute-solvent interaction parameter I.
  • (4) Assuming that the catalytic action of the enzyme obeys a Michaelis-Menten rate expression and that the deactivation of the enzyme follows a first-order decay, the present analysis employs the dimensionless, integrated form of the overall rate expression to obtain a criterion (based on the maximization of the determinant of the derivative matrix) that relates the a priori estimates of the parameters with the times at which samples should be withdrawn from the reacting mixture.
  • (5) Two criteria are used for screening: both involve the parameter [(delta rho)4] (delta rho is a dimensionless function proportional to the Fourier transform of the set of observed structure factors).
  • (6) A new calibration constant is introduced, viz., the response factor (RF, dimensionless), which is independent of the diameter of the capillary, the construction of the universal detector and the driving current used during detection.
  • (7) On the basis of the dimensionless stride length, stride frequency, pelvic rotation and trunk rotation, deficits in the gait of stroke patients could be quantified.
  • (8) Assymptotic solutions show that the volume estimates are governed by a time constant, tau, related to diffusion in the tissue, to tissue capacity, and to wall permeability, and by a dimensionless ratio, f, describing a relation of tau to vascular transport time.
  • (9) ct and cv are dimensionless quantities that increase with [4-AP] and reflect the voltage-independent and voltage-dependent component, respectively, of block.
  • (10) The dimensionless input parameters are: U, a horizontal Froude number based on forward speed and leg length; V, a vertical Froude number based on vertical landing velocity and leg length, and KLEG, a dimensionless stiffness for the leg-spring.
  • (11) This is the most important dimensionless group influencing the motion of a particle relative to the fluid.
  • (12) The quantitative assessment of the technological effectiveness of the products is done by using a single dimensionless overall index that varies from 0 to 1, this facilitating a comparative evaluation of this effectiveness.
  • (13) The estimated dimensionless carrier parameters for 2 are J*max = 0.16, Km = 0.08 mM, P*c = 2.0, and P*m = 0.25; for lisinopril, passive absorption is not significant and its absorption is nonpassive: J*max = 0.032, Km = 0.082 mM, and P*c = 0.39 (where J*max is the maximal flux, Km is the Michaelis constant, P*c is the carrier permeability, and P*m is the passive permeability).
  • (14) Proper nondimensionalization of the resulting equations leads to the identification of dimensionless parameters which combine the transport characteristics of the endothelial wall and the intravascular flow resistance.
  • (15) The governing differential equations are given in dimensionless form to make the results representative of animals of all body sizes.
  • (16) Mean systolic pressure differences, volume losses, and energy losses, as well as dimensionless pressure losses and energy loss coefficients, are calculated from the recorded pressure, volume, and flow tracings.
  • (17) The performance of hemodialyzers was expressed schematically using three dimensionless quantities.
  • (18) It requires only the introduction of two dimensionless ratios into the standard model: the ratio of the mean unbound ligand concentration actually present within the capillary or sinusoid to its equilibrium value, and the ratio of the permeability of the membrane plus associated extracellular diffusion barriers to the permeability of the membrane alone.
  • (19) The distribution of the Arden ratio (A) and another dimensionless EOG quantity (G) devised by Gliem (1971) in a sample of normal human subjects are presented.
  • (20) In this study, we use published empirical relationships, developed to identify the initial change from oscillating laminar flow to oscillating turbulent flow in tubes, to derive the limiting relationships between a dimensionless stroke volume and the Womersley number for maintenance of laminar conditions.

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