What's the difference between algebra and intersection?

Algebra


Definition:

  • (n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
  • (n.) A treatise on this science.

Example Sentences:

  • (1) Alphaxalone and endogenous steroid hormone metabolites inhibit the binding of [35S]-t-butyl bicyclophosphorothionate in some regions, enhance it in others and give biphasic concentration-dependence in others, apparently the result of algebraic summation of two effects involving regional-dependent enhancement or inhibition.
  • (2) When likelihood ratios are expressed as an algebraic function, maximum values are easily determined, hence fixing the limits of DNA analysis.
  • (3) Older subjects gave higher absolute error correction scores especially at the low error discriminability level, and the younger subjects did not show the negative correction bias (algebraic error) as suggested by the performance of the two older groups.
  • (4) Many tasks (e.g., solving algebraic equations and running errands) require the execution of several component processes in an unconstrained order.
  • (5) 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.
  • (6) Parameters of quantitative genetic models have traditionally been estimated by either algebraic manipulation of familial correlations (or familial mean squares), biometric model fitting, or multiple-group covariance structure analysis.
  • (7) The slight diminution of this increase when (+)-erythro-DOPS was administered after inhibition of peripheral decarboxylase, might result from the algebraic sum of two inversely acting processes: suppression of NE synthesis in the capillary walls and enhancement of parenchymatous NE in some brain areas.
  • (8) The effect of self fertilization on the distribution of genetic types in a population can be represented algebraically by a linear transformation.
  • (9) Theories of denture retention have suffered from confusion of model, algebraic errors, and misapprehension of the physics of capillarity, adhesion and cohesion, as well as the role of atmospheric pressure.
  • (10) This derivation, stemming from first principles and founded on experimental data, does not quantitatively specify the additive (K'1) or multiplicative constant (K'2), but constrains the algebraic relationship of QT as a function of R-R.
  • (11) An algebraic analysis of patterns of hospitalization and case-control selection demonstrates that Berkson's bias will be avoided if both cases and controls are chosen from the community or if he = 0.
  • (12) By simple algebraic manipulation, Zelman introduced a pair of new reflection coefficients, and a third new parameter gamma which he misleadingly calls the "deviation from the dilute solution approximation."
  • (13) He merely wanted to highlight how Islam, which produced algebra and kept safe the Greek philosophers of antiquity in the middle ages, had lost its way scientifically by focusing too much on the study of religion.
  • (14) The graphic representation of family data for the computation of the coefficients of inbreeding [F] and relationship [r] can be replaced by an algebraic method.
  • (15) Traditional "stimulus-time-locked signal averaging" of human EEG, as usually practiced in both clinical and basic contexts, assumes the superposition principle of algebraic summation for a linear time series.
  • (16) Analysis of an algebraic model of multi-level exposure misclassification reveals that all odds ratios based on the misclassified data are constrained between the nonmisclassified odds ratio for the most extreme category and the inverse of this value.
  • (17) Then the integral equation is reduced to a system of algebraic equations of z - 1th degree with N + 1 unknowns.
  • (18) In the Appendix to this paper an algebraic relation is given which must be satisfied for two cysteine residues to make a disulfide bond.
  • (19) Understanding patterns that are associated with survival or death may require alternative mathematic approaches, such as group and set theory manipulated by principles of Boolean algebra.
  • (20) Concordance-dependent ascertainment is easily modeled algebraically; non-independent ascertainment is more complex and we here propose a model based on survival analysis.

Intersection


Definition:

  • (n.) The act, state, or place of intersecting.
  • (n.) The point or line in which one line or surface cuts another.

Example Sentences:

  • (1) If Cory Bernardi wasn’t currently in a period of radio silence as he contemplates his immediate political future he’d be all over this too, mining the Trumpocalypse – or in our domestic context, mining the fertile political fault line where Coalition support intersects with One Nation support.
  • (2) Using the intersection point of these pH-logPCO2 lines as a point of equal hemoglobin-independent "base excess" for each condition, values for true base excess were plotted.
  • (3) At 5 micrometer and 2.5 mM sulphanilic acid under aerobic conditions, the regression lines for the permeation from lumen to blood pass almost through the origin, while the regression lines for the permeation from blood to lumen intersect the ordinate at a positive Y-value.
  • (4) The two molecules in the asymmetric unit form a dimer with its 2-fold axis perpendicular to and intersecting with a crystallographic 4(1) axis.
  • (5) Senator Edward Kennedy lived his life precisely at the crossroads of all that he encountered – at the intersection of statesmanship, of history, of moral purpose, of tragedy, of compromise.
  • (6) A combination of direct measurement and point and intersection counting techniques was used.
  • (7) Quantitative cell types were determined by a grid intersection counting technique at x 1000.
  • (8) Protests on Wednesday evening continued as smaller groups marched on the city centre, temporarily shutting down traffic on some intersections.
  • (9) In considering hardware, the optimum detector system for cone-beam tomography is a system that satisfies the data sufficiency condition for which the scanning trajectory intersects any plane passing through the reconstructed region of interest.
  • (10) There is the sound of engines hissing and crackling, which have been mixed to seem as near to the ear as the camera was to the cars; there is a mostly unnoticeable rustle of leaves in the trees; periodically, so faintly that almost no one would register it consciously, there is the sound of a car rolling through an intersection a block or two over, off camera; a dog barks somewhere far away.
  • (11) By late afternoon, the intersection of North Avenue and Fulton Avenue had been turned into what one man – bottles of cognac in each hand – called an “open bar”.
  • (12) These pH-activity profiles gave an intersection at pH 6.6.
  • (13) Coyne said the project would “greatly enhance our understanding of the intersection of the important issues at play in contemporary Australia and internationally regarding climate change, natural resource conservation and human rights – particularly the rights of Indigenous peoples”.
  • (14) A projection-less strip appears at the expected retinotopic position in both grisea intersecting radially all the strata of the corresponding neuropiles.
  • (15) Measurements of the angle of the gibbus and the angle of intersection of the renal axes were made in 68 children with thoracolumbar meningomyelocele.
  • (16) Moonlight wins best picture Oscar, after Warren Beatty gives gong to La La Land Read more “Peak blackness is a rare metaphysical anomaly that can only occur when an amalgam of black excellence comes together at the same societal intersection,” he said.
  • (17) Rather than individual voxels, a new exact algorithm is presented that considers the CT data as consisting of the intersection volumes of three orthogonal sets of equally spaced, parallel planes.
  • (18) Then the intersect of regression line of food hoarded during meal time vs. body weight with the X-axis was measured.
  • (19) Very few input data are sufficient to enable the program to work out an optimized dose distribution; optimization is obtained by modifying the intersection point of beams and the size, the wedge and the time of each beam.
  • (20) The intersectional variation in the morphometrically determined collagen density within the sponges was below 20%.