[permalink] [id link]
An equivalent definition is the radius of an unperturbed circular Newtonian orbit about the Sun of a particle having infinitesimal mass, moving with an angular frequency of radians per day ; or that length such that, when used to describe the positions of the objects in the Solar System, the heliocentric gravitational constant ( the product GM < sub >☉</ sub >) is equal to ()< sup > 2 </ sup > AU < sup > 3 </ sup >/ d < sup > 2 </ sup >.
from
Wikipedia
Some Related Sentences
equivalent and definition
Another definition of asymmetric makes asymmetry equivalent to antisymmetry plus irreflexivity.
This definition is equivalent to the statement that a unital associative R-algebra is a monoid in R-Mod ( the monoidal category of R-modules ).
A more abstract definition, which is equivalent but more easily generalized to infinite-dimensional spaces, is to say that bras are linear functionals on kets, i. e. operators that input a ket and output a complex number.
For alternative ( equivalent ) formulations of the definition in terms of a bijective function or a surjective function, see the section Formal definition and properties below.
It relies on the following equivalent definition of differentiability at a point: A function g is differentiable at a if there exists a real number g ′( a ) and a function ε ( h ) that tends to zero as h tends to zero, and furthermore
These definitions are equivalent to one another, so the most convenient definition can be used to determine whether a given function is continuous or not.
Such a definition can be formulated in terms of equivalence classes of smooth functions on M. Informally, we will say that two smooth functions f and g are equivalent at a point x if they have the same first-order behavior near x.
: Turing's thesis: " Turing's thesis that every function which would naturally be regarded as computable is computable under his definition, i. e. by one of his machines, is equivalent to Church's thesis by Theorem XXX.
An alternative and equivalent definition of Carmichael numbers is given by Korselt's criterion.
A bit, or a group of malfunctioning physical bits ( not always the specific defective bit is known ; group definition depends on specific storage device ) is typically automatically fenced-out, taken out of use by the device, and replaced with another functioning equivalent group in the device, where the corrected bit values are restored ( if possible ).
A bit, or a group of malfunctioning physical bits ( not always the specific defective bit is known ; group definition depends on specific storage device ) is typically automatically fenced-out, taken out of use by the device, and replaced with another functioning equivalent group in the device, where the corrected bit values are restored ( if possible ).
) This orthogonality condition can be used to derive the formula for the IDFT from the definition of the DFT, and is equivalent to the unitarity property below.
In addition to the definition above, there is an equivalent definition.
Yet another equivalent definition of the ellipse is that it is the set of points that are equidistant from one point in the plane ( a focus ) and a particular circle, the directrix circle ( whose center is the other focus ).
The electric field was formally defined as the force exerted per unit charge, but the concept of potential allows for a more useful and equivalent definition: the electric field is the local gradient of the electric potential.
Boltzmann showed that this definition of entropy was equivalent to the thermodynamic entropy to within a constant number which has since been known as Boltzmann's constant.
Baslieus, a title which had long been used for Alexander the Great was already in common usage as the Greek word for the Roman emperor, but its definition and sense was " King " in Greek, essentially equivalent with the Latin Rex.
An equivalent definition of group homomorphism is: The function h: G → H is a group homomorphism if whenever we have.
This statement is equivalent to the first of the above-given definitions of the inverse, and it becomes equivalent to the second definition if Y coincides with the codomain of ƒ.
In this case, the above definition can be characterized by the following equivalent statement:
In an equivalent formal definition, NP is the set of decision problems where the " yes "- instances can be decided in polynomial time by a non-deterministic Turing machine.
equivalent and is
He mentions the beats only once '', when he refers to their having revived through mere power and abandonment and the unwillingness to, commit death in life some idea of a decent equivalent between verbal expression and actual experience,, but the entire narrative, is written in the tiresome vocabulary `` of '' that lost `` and '' dying cause, `` and in the '' `` sprung syntax that is supposed to supplant, our mother, tongue.
In the event the total of rupees accruing to the Government of the United States of America as a consequence of sales made pursuant to this Agreement is different from the rupee equivalent of $1,276 million, the amounts available for the purposes specified in paragraph 1, Article 2, will be adjusted proportionately.
In these readings, the double bass is either kept discreetly in the background, or it is dressed in clown's attire -- the musical equivalent of a bull in a china shop.
The cross-sectional area of the cylinders is determined and then the volume of the individual cylinders is computed by multiplying the area by the stroke length, which is the equivalent of the length of the cylinders.
It is well to bear in mind that gasoline will cost from $.80 to $.90 for the equivalent of a United States gallon and while you might prefer a familiar Ford, Chevrolet or even a Cadillac, which are available in some countries, it is probably wiser to choose the smaller European makes which average thirty, thirty-five and even forty miles to the gallon.
For example, when the film is only four minutes old, Neitzbohr refers to a small, Victorian piano stool as `` Wilhelmina '', and we are thereupon subjected to a flashback that informs us that this very piano stool was once used by an epileptic governess whose name, of course, was Doris ( the English equivalent, when passed through middle-Gaelic derivations, of Wilhelmina ).
It is convenient to classify a child's onset ages and completion ages as `` advanced '', `` moderate '' ( modal ), or `` delayed '' according to whether the child's age equivalent `` dots '' appeared to the left of, upon, or to the right of the appropriate short transverse line.
when it represents only itself and on which is its complement ( so that go on is semantically equivalent to board ), on has stronger stress than go does.
When I have instructions to leave is equivalent in meaning to I have instructions that I am to leave this place, dominant stress is ordinarily on leave.
When the same sequence is equivalent in meaning to I have instructions which I am to leave, dominant stress is ordinarily on instructions.
In the first of these sentences if by is the complement of come and Tuesday is an adjunct of time equivalent to on Tuesday, there will be strong stress on by in the spoken language ; ;
In the second sentence if drinking water is a gerundial clause and without drinking water is roughly equivalent in meaning to unless I drink water, there will be stronger stress on water than on drinking ; ;
but if drinking is a gerundial noun modifying water and without drinking water is equivalent to without water for drinking, there will be stronger stress on drinking than on water.
In the Steiners have busy lives without visiting relatives only context can indicate whether visiting relatives is equivalent in meaning to paying visits to relatives or to relatives who are visiting them, and in I looked up the number and I looked up the chimney only the meanings of number and chimney make it clear that up is syntactically a second complement in the first sentence and a preposition followed by its object in the second.
equivalent and radius
The radius and ulna of the front legs are articulated by the carpus, which, while structurally equivalent to the human wrist, functions as a knee.
BE is the ratio of gravitational binding energy mass equivalent to observed neutron star gravitational mass of " M " kilograms with radius " R " meters,
In a sphere whose radius is infinitely large, this plane may be treated as nearly equivalent to the parallel plane with its centre at the Earth's center.
) That is equivalent to a hypothetical decrease in Earth radius and an increase of Earth bulge.
All these star types are concentrated much more densely within the tidal radius of the Hyades than within an equivalent 10-parsec radius of the Earth.
BE is the ratio of gravitational binding energy mass equivalent to observed neutron star gravitational mass of " M " kilograms with radius " R " meters,
The rectifying radius is equivalent to the meridional mean, which is defined as the average value of M:
One can also note that the function being integrated is the upper right quarter of a circle with a radius of one, and hence integrating the upper right quarter from zero to one is the geometric equivalent to the area of one quarter of the unit circle, or pi over 4.
Approximate formulas are available to convert the distributions along the two axes into the equivalent circle radius for the specified percentage.
A circle of radius r for the Chebyshev distance ( L < sub >∞</ sub > metric ) on a plane is also a square with side length 2r parallel to the coordinate axes, so planar Chebyshev distance can be viewed as equivalent by rotation and scaling to planar taxicab distance.
This implies that the closed bosonic string compactified on a radius is equivalent to the theory with radius.
To see this, consider the given vector as the radius of a sphere and note that finding a non-zero vector orthogonal to the given one is equivalent to finding a non-zero vector that is tangent to the surface of that sphere.
The equivalent " surface radius " that is described by radial distances at points along a body's surface is its radius of curvature ( more formally, the radius of curvature of a curve at a point is the radius of the osculating circle at that point ).
One way to illustrate the " vastness " of high-dimensional Euclidean space is to compare the proportion of a hypersphere with radius and dimension, to that of a hypercube with sides of length, and equivalent dimension.
The outer radius of an Alderson disk would be roughly equivalent to the orbit of Mars or Jupiter.
With the 50 % lethal thermal range being thus downrated to being equivalent to a 550 kt explosion, the 50 % lethal thermal radius goes from the previous 11 km without ducking and convering to ~ 7 km with prompt duck and covering within 2 seconds.
In keeping with the several indications within Revelation text that there is some encryption, the cube may not even represent a cube, but rather a sphere or spheroid, with a radius equivalent to approximately 6, 000 stadia or 690 miles ; alternatively the symbol might be taken as a " sacred dodecahedron " with the twelves given as a clue to its actual, faceted shape.
* The Alderson disk is a theoretical structure in the shape of a disk, where the outer radius is equivalent to the orbit of Mars or Jupiter and the thickness is several thousand miles.
The active crater at Kawah Ijen has an equivalent radius of, a surface of.
0.795 seconds.