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Sentences for "binomial "
When a lad is struggling with his multiplication tables, his appreciation of the binomial theorem or the differential calculus cannot be said to amount to much.
Virchow has introduced the term nanocephalic to designate normal crania of very small dimensions; while Sergi has adopted a binomial nomenclature, calling them eumetopic microcephalics, which signifies possessed of a fine forehead: since, as we have seen, it is precisely the shape of the forehead which determines normality.
Or better yet, it is known as Quétlét's binomial curve, because this anthropologist was the first t ... wn in mathematics for the coefficients in Newton's binomial theorem.
Newton's binomial theorem is the law for raising any binomial to the nth power, and is expanded in algebra as follows: (a+b)n = an+ na(n-1)b+ (n(n-1)/2)a(n-2)b2+ ((n(n-1)(n-2))/(2.
+bn substituting for n some determined coefficient, for example, 10, the binomial would develop, in regard to its coefficients, after the following fashion: (a+b)10 = a10+10×a9b+ ((10.
Indeed, here is the binomial theorem with the reductions made: (a+b)10 = a10+10×a9b+ ((10.
This rule also, of the intersection of binomial curves, is of broad application; whenever a general principle is stated, e.
We have seen that Quétélet's binomial curve represents the symmetrical distribution of subjects in relation to some one central anthropometric measurement.
Accordingly, if, for example, in place of half a million men whose measurements of stature, when placed in seriation, produced a perfect binomial curve, we had selected only ten men or even fewer from those corresponding to the median line; the general mean stature obtained from those half million men and that obtained from the ten individuals would be identical.
This curve is the mathematical curve of errors; and it corresponds to that constructed upon the exponents of Newton's binomial theorem and to the calculation of probability.
When a binomial curve has a very wide basis of oscillations in measurements, it evidently contains elements that are not uniform; thus, for example, if we should measure the statures of men and women together, we should of course obtain a curve, but it would be very broad at the base and quite low at the centre of density; and a similar result would follow if we measured the statures of the rich and the poor without distinguishing between them.
), if we should measure all the men on earth, we should obtain a very wide base for our binomial curve, which nevertheless would have a centre of density corresponding to the median line and to the general mean average.
But if we should take the races separately, each one of them would have its own binomial curve, which would reveal the respective mean stature for each race.
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