# Convergent sentence example

convergent
• Note that the funnel in Figure 4 is also a convergent nozzle.
• The mean brightness varies as .51; and the integral f J02(z)zdz is not convergent.
• The general continued fraction al is evidently equal, convergent by convergent, to the continued fraction X 2 b 2 X2X3b3 x3%4b4 a1+ A2a2 + X + X
• Every even convergent is greater than every odd convergent; every odd convergent is less than, and every even convergent greater than, any following convergent.
• Every convergent is a nearer approximation to the value of the whole fraction than any fraction whose denominator is less than that of the convergent.
• The difference between the continued fraction and the nth convergent is less than, and greater than a n+2 These limits qn may be replaced by the following, which, though not so close, are simpler, viz.
• If we suppose alb to be converted into a continued fraction and p/q to be the penultimate convergent, we have aq-bp= +1 or -1, according as the number of convergents is even or odd, which we can take them to be as we please.
• In this case the sum to n terms of the series is equal to the nth convergent of the fraction.
• The two legs of a parabolic branch may converge to ultimate parallelism, as in the conic parabola, or diverge to ultimate parallelism, as in the semi-cubical parabola y 2 = x 3, and the branch is said to be convergent, or divergent, accordingly; or they may tend to parallelism in opposite senses, as in the cubical parabola y = x 3 .
• Man and monkeys alone possess parallel and convergent vision of the two eyes, while a divergent, and consequently a very widely extended, vision is a prerogative of the lower mammals; squirrels, for instance, and probably also hares and rabbits, being able to see an object approaching them directly from behind without turning their heads.
• There is nearly always an arrangement to observe the preparation first in convergent light and then in parallel polarized light.
• Convergent beam electron diffraction In many materials, the crystal structure of minority phases is not known.
• The acute bisectrix of the optic axes never deviates from the normal to the basal plane by more than a degree or two, hence a cleavage flake of mica will always show an optic figure in convergent light when placed on the stage of a polarizing microscope.
• Molar series strongly convergent behind (see Prairie-Marmot).
• If a is zero, we may regard as the first convergent, and precede the series by and Ã‚°-.
• Standard intelligence tests measure convergent thinking, which is the ability to come up with a single correct answer.
• The Japanese attack was convergent, but there was no room for envelopment; the Russian position moreover was " all-round " and presented no flanks, and except for the enfilade fire of the Japanese and Russian gunboats in the shallow bays on either side the battle was locally at every point a frontal attack and defence.
• On the 25th of August the 2nd and 4th Armies from Haicheng and the 1st Army from the Yin-tsu-ling and Yu-shu-ling began the last stage of their convergent advance.
• It follows from this property of the function that we cannot have for log x a series which shall be convergent for all values of x, as is the case with sin x and cos x, for such a series could only represent a uniform function, and in fact the equation log(I +x) =x -",, x2 +3x 3 -4x 4 + is true only when the analytical modulus of x is less than unity.
• The resemblance shows various grades of completeness; and the convergent mimics may be themselves noxious, or edible and innocuous.
• The outermost hyphae may even put forth thinner hyphae, radiating into the soil like root-hairs, and the convergent tips may be closely appressed and so divided by septa as to resemble the root-apex of a higher plant (Armillaria mellea).
• It is doubtful whether the convergent action of the streams has been the sole agency in the erosion of these striking cavities, or whether snow and glacier-ice have had a share in the work.
• If then the objective tube is directed to any star, the convergent beam from the object-glass is received by the plane mirror from which it is reflected upwards along the polar axis and viewed through the hollow upper pivot.
• Every convergent is nearer to the value of the whole fraction than any preceding convergent.
• In the case of a recurring continued fraction which represents N, where N is an integer, if n is the number of partial quotients in the recurring cycle, and pnr/gnr the nr th convergent, then p 2 nr - Ng2nr = (- I) nr, whence, if n is odd, integral solutions of the indeterminate equation x 2 - Ny 2 = I (the so-called Pellian equation) can be found.
• We may require to represent the infinite convergent power series ao+alx+ a2x 2 + ...
• Its n th convergent is not equal to the sum to n terms of the series.
• Lambert for expressing as a continued fraction of the preceding type the quotient of two convergent power series.
• The optic figure seen in convergent polarized light through a section cut parallel to the plane of symmetry of a borax crystal is symmetrical only with respect to the central point.
• But, while Robertson was in some measure the initiator of a movement, Prescott came to his task when the range of information was incomparably wider and when progress in sociologic theory had thrown innumerable convergent lights upon the progress of events.