Here we can take advantage of the fact that in the regime (which corresponds to working in the left half of Pascal’s triangle), the function can be shown to be convex, but not too convex, in the sense that one has both upper and lower bounds on the second derivative of (in fact ...
There are several existing limits to executive power. Two drinks is my limit tonight. Boundary The line or plane indicating the limit or extent of something Limit (mathematics) A value to which a sequence converges. Equivalently, the common value of the upper limit and the lower limit of a ...
These lower bounds are not believed to be best possible. For instance, the Maier–Pomerance conjecture on Jacobsthal’s function would indicate that one needs to sieve out primes up to in order to completely sieve out an interval of length , and it is also believed that sieving up to should...
In the bottom half of the figure, converging lines depict a ground surface, while the upper half, where the lines converge up the page at a slower rate, suggests the ground has turned into a hill. The lower lines depict the ground as if planks were laid on it. Wu et al. (2007) ...
under typical mixing conditions, where n is the number of vertices and \(\vardelta \) is the maximum degree of the graph. we show that the time bound \(\vartheta (\log n)\) is optimal for distributed sampling. we also show a strong \(\varomega (\mathrm {diam})\) lower bound: ...
Archimedes approximated the area of a circle based on the area of a regular polygon inscribed within the circle and the area of a regular polygon within which the circle was circumscribed. The polygons, as Archimedes mapped them, gave the upper and lower bounds for the area of a circle, ...
RangeAttribute.MaximumIsExclusive Specifies whether bounds are included in the allowable range. System.ComponentModel.DataAnnotations.LengthAttribute Specifies both lower and upper bounds for strings or collections. For example, [Length(10, 20)] requires at least 10 elements and at most 20 elements in...
00'× e, where ' is the digit /2, there are p units in the significand of the floating-point number, and p units of 0 in the significand of the error. This error is ((/2)-p) × e. Since numbers of the form d.dd...dd × e all have the same absolute error, but have ...
One can generalise this equation in a number of ways, for instance by replacing the spatial domain with some other manifold and replacing the Laplacian with the Laplace-Beltrami operator or adding lower order terms (such as a potential, or a coupling with a magnetic field). But for sake of...
between the upper and lower bounds. In other words, it would be incorrect to assume that a 99% confidence interval means that 99% of the data in a random sample falls between these bounds. What it actually means is that one can be 99% certain that the range will contain the population...