Expanding in powers of r < sub > s </ sub >/ r, the leading order term in this formula gives the approximate angular deflection δφ for a massless particle coming in from infinity and going back out to infinity:

For light grazing the surface of the sun, the approximate angular deflection is roughly 1. 75 arcseconds, roughly one millionth part of a circle.

Strike-slip faults tend to be oriented near vertically, resulting in an approximate width of 10 km within the brittle crust, thus earthquakes with magnitudes much larger than 8 are not possible.

* 1 cm — approximate width of average fingernail

* 2 cm — approximate width of an adult Human finger

The Arche is in the approximate shape of a cube ( width: 108m, height: 110m, depth: 112m ); it has been suggested that the structure looks like a hypercube ( a tesseract ) projected onto the three-dimensional world.

The Drumheller portion of the Red Deer River valley, often referred to as Dinosaur Valley, has an approximate width of and an approximate length of.

In everyday conversation, and in informal literature, it is common to see lengths measured in units of objects of which everyone knows the approximate width.

What was once High Street was adjusted to the approximate width of St Kilda Road and renamed to become part of St Kilda Road, effectively extending it to Carlisle Street.

Note, these width ratios are approximate and should be taken with large pinches of salt.

The screen size is specified by the length of the diagonal and the width and height of the screen with an approximate ratio of 4: 3.

The approximate height and width of the arch is 11. 2m and 15. 3m respectively.

Mariveles, at the southern tip, can be reached via jet ferry plying the Mariveles-to-Manila route that has an approximate travel time of 40 minutes.

Mariveles can also be reached through jet ferry plying the Mariveles to Manila route that has an approximate travel time of 40 minutes.

The `` approximate '' is important, because even after the order of the work has been established by the chance method, the result is not inviolable.

Rhode Island's rate of $.07 per mile is considerably lower than reimburseable rates in the federal government and in industry nationally which approximate a $.09 per mile average.

The approximate equation is Af, where N is the number of Af with electron line-density greater than or equal to Af, and Q is proportional to the mass of the meteorite.

He concluded that the anaconda's maximum length is 12 or 13 ( perhaps 14 ) meters, which would approximate from 39 to 42 feet ( 14 meters is slightly less than 46 feet ).

The restrained gyro-stabilized platform with reasonable response characteristics operates with an approximate equation of motion, neglecting transient effects, as follows: Af where U is a torque applied about the output axis of the controlling gyro.

To test the hypothesis that all treatments have exactly the same effect, the F-test's p-values closely approximate the permutation test's p-values: The approximation is particularly close when the design is balanced.

One Nepōhualtzintzin ( 91 ) represented the number of days that a season of the year lasts, two Nepōhualtzitzin ( 182 ) is the number of days of the corn's cycle, from its sowing to its harvest, three Nepōhualtzintzin ( 273 ) is the number of days of a baby's gestation, and four Nepōhualtzintzin ( 364 ) completed a cycle and approximate a year ( 1 days short ).

This ensures that ΔG and ΔH are nearly the same over a considerable range of temperatures and justifies the approximate empirical Principle of Thomsen and Berthelot, which states that the equilibrium state to which a system proceeds is the one which evolves the greatest amount of heat, i. e. an actual process is the most exothermic one.

Except for a few primitive types such as sponges ( which have no nervous system ) and jellyfish ( which have a nervous system consisting of a diffuse nerve net ), all living animals are bilaterians, meaning animals with a bilaterally symmetric body shape ( that is, left and right sides that are approximate mirror images of each other ).

* Some curves that seem simple, such as the circle, cannot be described exactly by a Bézier or piecewise Bézier curve ; though a four-piece cubic Bézier curve can approximate a circle ( see Bézier spline ), with a maximum radial error of less than one part in a thousand, when each inner control point ( or offline point ) is the distance horizontally or vertically from an outer control point on a unit circle.

More generally, an n-piece cubic Bézier curve can approximate a circle, when each inner control point is the distance from an outer control point on a unit circle, where t is 360 / n degrees, and n > 2.

The approximate generation time for Danio rerio is three to four months.

where Fε < sup >- D </ sup > must be the number of units ε required to obtain L. The fractal dimension is the number of the dimensions of the figure being used to approximate the fractal: 0 for a dot, 1 for a line, 2 for a square.

The treatment of larger molecules that contain a few dozen electrons is computationally tractable by approximate methods such as density functional theory ( DFT ).

The total energy is determined by approximate solutions of the time-dependent Schrödinger equation, usually with no relativistic terms included, and by making use of the Born – Oppenheimer approximation, which allows for the separation of electronic and nuclear motions, thereby simplifying the Schrödinger equation.

This does not imply that the solution is an exact one ; they are all approximate quantum mechanical calculations.

In this type of calculation, there is an approximate Hamiltonian and an approximate expression for the total electron density.

With enough samples, the graph of the histogram will approximate the density function of a chi-squared distribution with one degree of freedom.

These ideal electrical elements represent real, physical electrical or electronic components but they do not exist physically and they are assumed to have ideal properties according to a lumped element model, while components are objects with less than ideal properties, a degree of uncertainty in their values and some degree of nonlinearity, each of which may require a combination of multiple electrical elements in order to approximate its function.

The classification of a wave at any particular degree can vary, though practitioners generally agree on the standard order of degrees ( approximate durations given ):

Digital computers can also be used to generate a set of coordinates that accurately describe an arbitrary curve, and the points can be connected with line segments to approximate the curve with a high degree of accuracy.

For instance, for sparse graphs ( graphs in which the number of edges is at most a constant times the number of vertices in any subgraph ), the maximum clique has bounded size and may be found exactly in linear time ; however, for the same classes of graphs, or even for the more restricted class of bounded degree graphs, finding the maximum independent set is MAXSNP-complete, implying that, for some constant c ( depending on the degree ) it is NP-hard to find an approximate solution that comes within a factor of c of the optimum.

While her account incorporated elements of traditional Christianity, it also met with a certain degree of resistance as well, largely to its teaching ( as she reported she was given it ) that some denominations might approximate truth better than others but that different teachings were more appropriate for certain individuals at their given stage of spiritual development, and that therefore judgment should not be passed on them for where they were.

Now, you might wonder why we would ever want to get an approximate fit when we could just increase the degree of the polynomial equation and get an exact match.

For this reason, it is usually best to choose as low a degree as possible for an exact match on all constraints, and perhaps an even lower degree, if an approximate fit is acceptable.

Instead, the calculation of relative degree of interference from the concentration of interfering ions can only be used as a guide to determine whether the approximate extent of the interference will allow reliable measurements, or whether the experiment will need to be redesigned so as to reduce the effect of interfering ions.

The law is stated that " Any two time-lines approximate to the exact degree to which their material contents are alike ," and it is revealed that an experiment with a replica railway shed in the right place had already been successful in allowing a controlled transfer of minds.

In terms of the law that " Any two time-lines approximate to the exact degree to which their material contents are alike " the tower is obviously a repeat, on a grand scale, of the Othertimers ' successful but small experiment with a railway shed constructed in the same space as ours.

A version of the minimum degree algorithm was implemented in the MATLAB function symmmd ( where MMD stands for multiple minimum degree ), but has now been superseded by a symmetric approximate multiple minimum degree function symamd, which is faster.

This is accomplished by using a polynomial of high degree, and / or narrowing the domain over which the polynomial has to approximate the function.

* Similarly, groups with property ( T ) can be used to construct finite sets of invertible matrices which can efficiently approximate any given invertible matrix, in the sense that every matrix can be approximated, to a high degree of accuracy, by a finite product of matrices in the list or their inverses, so that the number of matrices needed is proportional to the number of significant digits in the approximation.

As mentioned above, one consequence of a high degree of multicollinearity is that, even if the matrix X < sup > T </ sup > X is invertible, a computer algorithm may be unsuccessful in obtaining an approximate inverse, and if it does obtain one it may be numerically inaccurate.

Exponents of this view infer that the most complete truth is a property solely of a unique coherent system, called the absolute, and that humanly knowable propositions and systems have a degree of truth that is proportionate to how fully they approximate this ideal.

Typically in mechanical engineering it is used for finding the approximate real resonant frequencies of multi degree of freedom systems, such as spring mass systems or flywheels on a shaft with varying cross section.

In approximate DFTs one can estimate to high degree of accuracy the deviance from Koopmans ' theorem using the concept of energy curvature.