In addition to the penalties provided in Title 18, United States Code, Section 1001, any person guilty of any act, as provided therein, with respect to any matter under this Title, shall forfeit all rights under this Title, and, if payment shall have been made or granted, the Commission shall take such action as may be necessary to recover the same.

In addition to regional peace and stability, U. S. interests in Burkina are to promote continued democratization and greater respect for human rights and to encourage sustainable economic development.

Intuitively, a field is a set F that is a commutative group with respect to two compatible operations, addition and multiplication, with " compatible " being formalized by distributivity, and the caveat that the additive identity ( 0 ) has no multiplicative inverse ( one cannot divide by 0 ).

In contrast, in frames accelerating with respect to the fixed stars, an important case being frames rotating relative to the fixed stars, the laws of motion did not hold in their simplest form, but had to be supplemented by the addition of fictitious forces, for example, the Coriolis force and the centrifugal force.

An identity with respect to addition is called an additive identity ( often denoted as 0 ) and an identity with respect to multiplication is called a multiplicative identity ( often denoted as 1 ).

In Lovelock's 2006 book, The Revenge of Gaia, he argues that the lack of respect humans have had for Gaia, through the damage done to rainforests and the reduction in planetary biodiversity, is testing Gaia's capacity to minimize the effects of the addition of greenhouse gases in the atmosphere.

# The vector addition +: V × V → V is jointly continuous with respect to this topology.

Aristotle distinguished between infinity in respect to addition and in respect to division.

In addition to the tough instruction ( up to eight months of 12-hour days ), the men had the challenge of dealing with birds roosting overhead in the living quarters with little respect for Navy cleanliness.

Every real number has an additive inverse ( i. e. an inverse with respect to addition ) given by.

In addition to the mastery of the mechanics of drawing lines, arcs and circles ( and text ) onto a piece of paper — with respect to the detailing of physical objects — the drafting effort requires a thorough understanding of geometry, trigonometry and spatial comprehension, and in all cases demands precision and accuracy, and attention to detail of high order.

Every topological ring is a topological group ( with respect to addition ) and hence a uniform space in a natural manner.

If a point rotates with in a frame which rotates itself with angular speed respect an external frame, we can define the addition of like the angular velocity vector of the point respect.

In addition to its familiar geometric structure, with isomorphisms that are isometries with respect to the usual inner product, the plane may be viewed at various other levels of abstraction.

This includes distributivity over addition and linearity with respect to multiplication by elements of R.

In this respect Belton was fortunate to survive at all, as in addition to the family's problems, the house deteriorated to such an extent that in 1961 the 6th Baron employed the architect Francis Johnson to oversee a large restoration program lasting three years.

The previous calculations show that addition and multiplication behave the same way in and C. In fact, we see that the map between and C given by is a homomorphism with respect to addition and multiplication.

In addition, the regency showed little respect for local customs.

The scandal resulted Allied Irish Banks being forced to reach a settlement of € 90 million with the Revenue Commissioners in respect of Deposit Interest Retention Tax evasion in 2000 in addition to thousands of tax-evaders being prosecuted including the former Minister for Justice Pádraig Flynn.

In addition to self-cultivation and the expansion of one's knowledge, the Great Learning goes into significant step-by-step detail with respect to the qualities of a proper ruler.

As an example of a potentially infinite series in respect to increase, one number can always be added after another in the series that starts 1, 2, 3 ,... but the process of adding more and more numbers cannot be exhausted or completed, because there is no end to the process.

In respect to division, a potentially infinite series of divisions is, for example, the one that starts as 1, 0. 5, 0. 25, 0. 125, 0. 0625.

Because that requirement is no longer in effect, the New York magazine ban becomes potentially unenforceable except with respect to those magazines manufactured during the ban and marked according to federal regulations then in effect.

There are other notable characteristics of the Indiana law, though most of the major movement in Right of Publicity emanates from New York and California, with a significant body of case law which suggest two potentially contradictory positions with respect to recognition of the right of publicity.

Nonetheless, in light of the massive support the Islamists could muster, the authorities henceforth viewed them as a potentially grave threat to the state and alternately treated them with harshness and respect.

Prats lost the respect of the Army officer corps, who regardless of their political beliefs, considered such a serious, potentially fatal loss of control as unprofessional and dangerous.

Jay-Z wanted to show his friend and mentor some love and respect by getting him onto a potentially successful record label.

Durbin has maintained that this reversal came about as a result of personal reflection and his growing awareness of potentially harmful implications of his previous policy with respect to women facing dangerous pregnancies.

* Ewing v. Goldstein, a landmark court case that helped to define the ethical duties of mental health professionals with respect to potentially violent individuals

If you respect someone or view him as your social superior, then he will potentially be able to exercise power over you ( since you will respond positively to his instructions / commands ).

Ben-Ami is currently Vice-President of the Toledo International Centre for Peace ( TICpax ), which, according to its mission statement, " seeks to contribute to the prevention and resolution of violent or potentially violent international or intranational conflicts and to the consolidation of peace, within a framework of respect and promotion of Human Rights and democratic values.

" As a result, the channel was fined £ 20, 000 for breaching advertising codes requiring political impartiality, for denigrating other religious beliefs, for potentially frightening viewers, and for making statements prejudicial of " respect for human dignity ".

This air is usually pumped into the suit at positive pressure with respect to the surroundings as an additional protective measure against the introduction of dangerous agents into a potentially ruptured or leaking suit.

Alexander found it necessary to dictate some sort of organization in who would surf the Pipeline to both preserve the value of showing respect to one ’ s elders, i. e. those who were native to the land and had been surfing for many years, and also protect surfers from the reef ’ s potentially life threatening waves.

In response, both Burgess and Grassroot Institute of Hawaii have stated that Burgess is a member but has never been legal counsel for Grassroot Institute of Hawaii ; and that Grassroot's role with respect to the Akaka bill has been to foster public education and discourse which had previously been woefully inadequate considering the potentially profound consequences of the bill.

For instance, any changes with respect to drugs and controlled substances or illegal immigration could affect the number of persons arrested, convicted, and sentenced, thereby potentially reducing demand for correctional facilities to house them.

It is also the derivative of the formula for the volume with respect to r because the total volume of a sphere of radius r can be thought of as the summation of the surface area of an infinite number of spherical shells of infinitesimal thickness concentrically stacked inside one another from radius 0 to radius r. At infinitesimal thickness the discrepancy between the inner and outer surface area of any given shell is infinitesimal and the elemental volume at radius r is simply the product of the surface area at radius r and the infinitesimal thickness.

In theories that do not respect Lorentz invariance the speed of light is not ( necessarily ) a barrier, and particles can travel faster than c without infinite energy or causal paradoxes.

Aristotle also distinguished " things infinite in respect of divisibility " ( such as a unit of space that can be mentally divided into ever smaller units while remaining spatially the same ) from things ( or distances ) that are infinite in extension (" with respect to their extremities ").

Accordingly I distinguish an eternal uncreated infinity or absolutum which is due to God and his attributes, and a created infinity or transfinitum, which has to be used wherever in the created nature an actual infinity has to be noticed, for example, with respect to, according to my firm conviction, the actually infinite number of created individuals, in the universe as well as on our earth and, most probably, even in every arbitrarily small extended piece of space.

Subwoofer enclosures come in a variety of designs, including bass reflex ( with a port or passive radiator in the enclosure ), infinite baffle, horn-loaded, and bandpass designs, representing unique tradeoffs with respect to efficiency, bandwidth, size and cost.

: The band would like to extend their infinite love and respect to those who have championed OMS over the years, whether from within the industry and the media or from without.

** Voltage-controlled current source ( VCCS ) Generates a current based on a voltage with respect to a specified gain, used to model field-effect transistors and vacuum tubes ( has infinite input impedance and infinite output impedance ).

When the dimension of H is infinite, then S < sub > 1 </ sub >( H ) ( the trace class ) is not reflexive, because it contains a subspace isomorphic to ℓ < sup > 1 </ sup >, and S < sub >∞</ sub >( H ) = L ( H ) ( the bounded operators ) is not reflexive, because it contains a subspace isomorphic to ℓ < sup >∞</ sup > ( in both cases, the subspace can be chosen to be the operators diagonal with respect to a given orthonormal basis of H ).

" In response, Chisholm objects that if one complicates the analysandum, one must also complicate the analysans ; in this particular case, that one must analyse in purely sensory terms what it means not to be paralyzed and so on, with respect to which the same problems would arise leading to an infinite regress.

A Hankel operator on a Hilbert space is one whose matrix with respect to an orthonormal basis is a ( possibly infinite ) Hankel matrix

* Diversity, because understanding differences develops respect for ethnic, cultural, and religious pluralism ; an international consciousness ; and an appreciation for the infinite worth of every person ; and

* The infinite tensor product of a countable number of factors of type I < sub > n </ sub > with respect to their tracial states is the hyperfinite type II < sub > 1 </ sub > factor.

The smallest alkane with such a chemical bond, ethane, exists as an infinite number of conformations with respect to rotation around the C – C bond.

Fear of the Lord is the beginning of wisdom ( Prov 1: 7 ) because it puts our mindset in correct location with respect to God: we are the finite, dependent creatures, and He is the infinite, all-powerful Creator.

The Stern – Brocot tree forms an infinite binary search tree with respect to the usual ordering of the rational numbers.

This corresponds to X having an infinite G invariant measure without atoms, absolutely continuous with respect to the measure on X.