What's the difference between cosine and sum?

Cosine


Definition:

  • (n.) The sine of the complement of an arc or angle. See Illust. of Functions.

Example Sentences:

  • (1) algebraic sum of these three cosine functions yielded a circadian waveform with peak-times occurring near 0300 and 1130 hr and a trough-time about 2200 hr.
  • (2) The EMG data were fit with a nonlinear, multiple cosine function, which allowed the identification of one, two, or sometimes three separate cosine peaks.
  • (3) The compression technique is a variation of the Consultive Committee on International Telephony and Telegraphy Joint Photograph Experts Group compression that suppresses the blocking of the discrete cosine transform except in areas of very high contrast.
  • (4) Data were fit using a two-step sine and cosine regression for each 24-h period.
  • (5) Diurnal periodicity in bradyarrhythmia (sinoatrial block, atrioventricular block) and heart rate was analyzed by the least square fit of 24-h cosines.
  • (6) In comparison with APO-UNSUS rats APO-SUS rats showed significantly more spike-wave discharges, especially during the dark period: both the mesor and the amplitude of the optimal cosine fitted to the data were significantly increased, whereas neither the acrophase nor the period length (24 h) differed.
  • (7) To implement a picture archiving and communication system, clinical evaluation of irreversible image compression with a newly developed modified two-dimensional discrete cosine transform (DCT) and bit-allocation technique was performed for chest images with computed radiography (CR).
  • (8) Histopathological changes as shown in sections stained with hematoxylin and cosin include patchy areas of colloid degeneration and thickening of the walls of some blood vessels in 10 out of 15 marasmic cases.
  • (9) The modulation depth showed a close to cosine relation with the angle between the preferred axis and the stimulus rotation axis.
  • (10) Curvature-increment thresholds were measured for contour curvatures from 0.31 to 10.65 deg-1, for grating spatial frequencies of 4.0 and 16.0 cycles per degree (cpd), and for gratings in either sine or cosine phase at the point of maximum curvature.
  • (11) The EFP nocturnal decline in LH did not conform to a cosine rhythm.
  • (12) According to acrophases of a fitted cosine curve and visual inspection on chronograms, the phases of circadian rhythms were delayed to different degrees in the evening shifts with a minimum of about 1 h for oral temperature and a maximum of about 4 h for urinary free noradrenaline.
  • (13) The acrophases (maxima of the adjusted cosine curve) occurred at 23:39, 07:59, 08:37 and 13:25 h, respectively.
  • (14) The fit of a 24-hr cosine function was able to reject the null hypothesis of amplitude = O in the majority of patients under intensive care.
  • (15) A compression technique based on the discrete cosine transform takes the viewing factors into account by compressing the changes in the local brightness levels.
  • (16) When two drifting cosine gratings are superimposed, they will, under appropriate conditions, form a coherently moving two-dimensional pattern whose resultant direction of motion may either be between (type I), or outside (type II) the directions of the two components.
  • (17) In the second experiment, DLs were obtained for linear, exponential, and raised-cosine onset envelopes at rise-time values between 10 and 40 msec.
  • (18) The new nonlinearity hypothesis cannot account for the results obtained with sine-phase test stimuli, though it gives a better account of the results with cosine-phase stimuli than does the early nonlinearity hypothesis which was tested and rejected by Nachmias and Rogowitz (1983).
  • (19) The gonadotropin secretory pattern was subjected to cosine analysis for identifying rhythmicity.
  • (20) Two-cosine functions often provided the best fit to the EMG data.

Sum


Definition:

  • (n.) The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; as, the sum of 5 and 7 is 12.
  • (n.) A quantity of money or currency; any amount, indefinitely; as, a sum of money; a small sum, or a large sum.
  • (n.) The principal points or thoughts when viewed together; the amount; the substance; compendium; as, this is the sum of all the evidence in the case; this is the sum and substance of his objections.
  • (n.) Height; completion; utmost degree.
  • (n.) A problem to be solved, or an example to be wrought out.
  • (v. t.) To bring together into one whole; to collect into one amount; to cast up, as a column of figures; to ascertain the totality of; -- usually with up.
  • (v. t.) To bring or collect into a small compass; to comprise in a few words; to condense; -- usually with up.
  • (v. t.) To have (the feathers) full grown; to furnish with complete, or full-grown, plumage.

Example Sentences:

  • (1) Median effect analysis was applied for the evaluation of in vitro effect by the growth inhibition, and the in vivo effect by comparison of the increase of life span (ILS) in a combined group with the sum of ILS's in 2 single agent groups.
  • (2) Sonographic images of the gallbladder enable satisfactory approximation of gallbladder volume using the sum-of-cylinders method.
  • (3) It is shown that, by comparison of a reacting mixture at chemical equilibrium with a non-reacting but equally composed one, the sum of the mean concentrations of the reaction products can immediately be taken from optical absorption or from interferometric measurements.
  • (4) The visitors did have a chance to pull another back with three minutes remaining but Henry blazed a free-kick from within range on the left over the bar, summing up Wolves’ day out in the East Midlands.
  • (5) The norms are reported as "Scaled Score Equivalents of Raw Scores" for each age group and as "IQ Equivalents of Sums of Scaled Scores."
  • (6) The molar refractivity has been shown to be a superior parameter for the description of the activity of sulphonamides than the sum of electronegativities of atoms making up a heterocyclic substituent in the sulphonamide molecule and molecular weight of the substituent.
  • (7) Part of his initial lump sum will be donated to a fund to replace a hall destroyed by fire in an arson attack four years ago at St Luke’s Church in Newton Poppleford.
  • (8) The length of the diaphragmatic wall of the heart in both the right and left ventricle was equal to the sum of the length of the inflow tract and the thickness of the ventricular wall at the apex.
  • (9) Nickname: SuperSarko the Omnipresident Quote: "What made me who I am now is the sum of all the humiliations suffered during childhood."
  • (10) This structure is further characterized by approaches of both the carbonyl and the furan O atoms to ring H atoms with separations which are slightly less than the sum of the relevant van der Waals radii.
  • (11) The amount of gallium in 'blood-free' tissues was measured by correcting for gallium in residual blood and an estimate of intestinal absorption was then made by summing the values for all tissues examined.
  • (12) Enzyme levels in strains with concurrent mutations in both regulatory genes are considerably higher than the sum of the levels in strains with a cytR or a deoR mutation alone, indicating a certain co-operativity between the two repressor proteins.
  • (13) Transfer of nonprofessional tasks out of nursing and reduction of tension arising from reduced responsibility of nurses for coordinating activities with ancillary departments are possible explanations for the positive relation between the presence of SUM and professional nurses' satisfaction.
  • (14) The Soret MCD of the reduced protein is interpreted as th sum of two MCD curves: an intense, asymmetric MCD band very similar to that exhibited by deoxymyoglobin which we assign to paramagnetic high spin cytochrome a3(2+) and a weaker, more symmetric MCD contribution, which is attributed to diamagnetic low spin cytochrome a2+.
  • (15) In sum, these studies demonstrate the novel phospholipid ceramide 1-phosphate in HL-60 cells and suggest the possibility that a path exists from sphingomyelin to ceramide 1-phosphate via the phosphorylation of ceramide.
  • (16) During bilateral displacements, the activity induced by the respective contralateral leg is linearly summed or subtracted, depending on whether the legs are displaced in the same or in opposite directions.
  • (17) Binaural difference waves (BDWs), obtained by subtracting the sum of two monaural BAEPs from a binaural BAEP, were obtained in 16- to 20-day-old jaundiced Gunn rats before and after injection of sulfadimethoxine, which produces bilirubin neurotoxicity by promoting net transfer of bilirubin out of the circulation into brain tissue.
  • (18) The index was calculated by dividing the sum of the count rates over both knees and both wrists by the dose of technetium given.
  • (19) A "peeling" technique was used to estimate the time constants (tau 0 and tau 1) and coefficients (a0 and a1) of the first two exponential terms of the series of exponential terms whose sum represented the slope of the voltage response.
  • (20) To determine the effectiveness of nitroglycerin, alone or with phenylephrine, during AMI in man, 12 patients (five or whom had left heart failure) were evaluated by summing ST-segment abnormalities (sigmaST) from 35 precordial electrodes.

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