where I is the moment of inertia of the object ( in general, a tensor quantity ), and ω is the angular velocity.

where I is the moment of inertia of the object ( in general, a tensor quantity ) and ω is the angular velocity.

For example, the cofinality of ω² is ω, because the sequence ω · m ( where m ranges over the natural numbers ) tends to ω² ; but, more generally, any countable limit ordinal has cofinality ω.

where ω is the angular velocity dθ / dt.

where ω is the angular frequency.

* Z ( where ω is a cube root of 1 ), the ring of Eisenstein integers.

* Consider now L = Q ( ³ √ 2, ω ), where ω is a primitive third root of unity.

where ω is the wave's angular frequency ( usually expressed in radians per second ), and k is the angular wavenumber ( usually expressed in radians per meter ).

where < var > ω </ var > measured in radians per second.

A similar relationship is obtained for rotating systems, where T < sub > A </ sub > and ω < sub > A </ sub > are the torque and angular velocity of the input and T < sub > B </ sub > and ω < sub > B </ sub > are the torque and angular velocity of the output.

The power P = Fu = Tω, where ω is the angular velocity of the wheel.

* Z ( where ω is a primitive cube root of 1 ): the Eisenstein integers

where I is the moment of inertia and ω is the angular velocity.

where I is the moment of inertia of the body and ω is its angular speed.

where P is power, τ is torque, ω is the angular velocity, and · represents the scalar product.

It is usually encountered in quantum mechanics, where it is used in combination with the reduced Planck constant ( symbol ħ, h-bar ) and the angular frequency ( symbol ω ) or angular wavenumber ( symbol k ).

where α, β, and γ are coordinates on the unit sphere S, and ω is the area element on S. This result has the interpretation that u ( t, x ) is t times the mean value of φ on a sphere of radius ct centered at x:

where ω is the angular speed, and r is the orbital radius as measured from the Earth's center of mass.

Ae < sup > j ( ωt + π )</ sup >, where t is time, A is the magnitude of the vector, ω is angular frequency ( ω = 2πf ), where f is the frequency and π ≈ 3. 1416 and e ≈ 2. 7183.

But California is where we're goin ''.

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

Now I wish to enter the American market, where the competition is very strong.

from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.

A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.

In a society where everything is for sale, Marlowe is the only man who cannot be bought.

This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.

As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.

`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

She was exposing herself to temptation which it is best to avoid where it can consistently be done.

Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.

but it is perennially restructured in situations where anchors are dragged or lost.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

The absurdity of the greasepaint was never discussed on-screen, but in a famous scene in Duck Soup, where both Chicolini ( Chico ) and Pinky ( Harpo ) disguise themselves as Groucho, they are briefly seen applying the greasepaint, implicitly answering any question a viewer might have had about where he got his mustache and eyebrows.

Prior to the 19th century, suburb often referred to the outlying areas of cities where work was most inaccessible — implicitly, where the poorest people had to live.

Additionally, the OS has yet another facility for converting an application from being long-term fixed to being fixed for an indefinite period, possibly for days, months or even years ( however, this facility implicitly requires that the application firstly be swapped-out, possibly from preferred-memory, or a mixture of preferred-and non-preferred memory, and secondly be swapped-in to non-preferred memory where it resides for the duration, however long that might be ; this facility utilizes a documented Supervisor Call instruction ).

Eager evaluation is almost exclusively used in imperative programming languages where the order of execution is implicitly defined by the source code organization.

Prior to the 1960s and ' 70s, specialized gay communities did not exist as such outside Berlin and Amsterdam ; bars were usually where gay social networks developed, and they were located in certain urban areas where police zoning would implicitly allow so-called " deviant entertainment " under close surveillance.

" This was implicitly a hospital DNR order, where 222 ( or similar ) is the hospital telephone number for the emergency resuscitation or crash team.

A hypersurface may be locally defined implicitly as the set of points satisfying an equation, where is a given scalar function.

Paradigms and research programmes allow anomalies to be set aside, where there is reason to believe that they arise from incomplete knowledge ( about either the substantive topic, or some aspect of the theories implicitly used in making observations ).

Sometimes, the maximal possible domain is also understood implicitly: a formula such as may mean that the domain of f is the set of real numbers x where the square root is defined ( in this case x ≤ 2 or x ≥ 3 ).

While seldom used explicitly, the geometric view of the complex numbers is implicitly based on its structure of a Euclidean vector space of dimension 2, where the inner product of complex numbers and is given by ; then for a complex number its absolute value || coincides with its Euclidean norm, and its argument with the angle turning from 1 to.

In the application of dynamic programming to mathematical optimization, Richard Bellman's Principle of Optimality is based on the idea that in order to solve a dynamic optimization problem from some starting period t to some ending period T, one implicitly has to solve subproblems starting from later dates s, where t < s < T.

Identification mode can be used either for ' positive recognition ' ( so that the user does not have to provide any information about the template to be used ) or for ' negative recognition ' of the person " where the system establishes whether the person is who she ( implicitly or explicitly ) denies to be ".

* " Interstital federal lawmaking " is a species of " federal common law " which arises where Congressional statutes implicitly compel federal courts to fill gaps to interpret the federal law, should a case or controversy arise, where the transactions or issues typically would be controlled by state law ( such as real property regulatory programs ).

The poem is implicitly the work of a government agency at some point in the future, when modern bureaucratizing trends have reached the point where citizens are known by arbitrary numbers and letters, not personal names.

In Colorado, US 24 runs from Interstate 70 ( and implicitly with, U. S. Route 6 ) from Minturn where it goes through Minturn and continues south to the Continental Divide at Tennessee Pass.

It is also possible for a mobile to implicitly register, where the TSC will update its registration records when the mobile makes a call attempt.

where P is a polynomial with coefficients in K, the polynomial ring ; that is, implicitly defined algebraic functions.

A few CPUs have been designed where every operand is always implicitly specified in every instruction -- zero-operand CPUs.

It implicitly builds shortest-path trees by flooding multicast traffic domain wide, and then pruning back branches of the tree where no receivers are present.

He is implicitly homosexual, something which has been shown many times during the series as in Sally's cat fight with the super-sexy robot assassin Ann Droid in the episode " Artificial Intolerance " which simply resulted in the response of " It doesn't do anything for me " from Ty, and in the episode " Supersuit and Ty Required " where Zeroman decides to find a successor and rejects the notion of Ty being his heir, with Ty initially thinking that it is because of his sexuality, but at the end Les reveals it was because Zeroman wouldn't be Zeroman without Ty there to always help him ).