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Any n-dimensional formal group law gives an n dimensional Lie algebra over the ring R, defined in terms of the quadratic part F < sub > 2 </ sub > of the formal group law.
Some Related Sentences
Any and formal
Any formal or informal group — a family, a church, a club, a business, a trade union — may be said to have government.
Any formal series with has a composition inverse provided is an invertible element of R. The coefficients are found recursively from the above formula for the coefficients of a composition, equating them with those of the composition identity X ( that is 1 at degree 1 and 0 at every degree greater than 1 ).
Any formal policy guidelines issued by the chancellor are legally binding directives that cabinet ministers must implement.
Any nation, with or without formal relations, may request the extradition of fugitives who abscond to Bhutan.
Any proposal of law in the broadest sense and any proposed treaty is in principle first submitted to the Council of State for legal comment ; this can be limited by formal law, which however only does so for trivial cases ( Article 73 ).
# Any assignment of the elements of a formal language to natural numbers in such a way that the numbers can be manipulated by an algorithm to simulate manipulation of elements of the formal language.
It also includes force used directly to preclude or impede the mission and / or duties of US forces, including the recovery of US personnel or vital US Government property .” A “ hostile force ” is defined as “ Any civilian, paramilitary, or military force or terrorist ( s ), with or without national designation, that have committed a hostile act, exhibited hostile intent, or have been declared hostile by appropriate US authority .” “ Armed forces ” are defined as “ The military forces of a nation or a group of nations .” Although the original Senate bill that produced the 1989 amendment intended to make the treatment of captives the operative qualifying condition for those held outside of formal armed conflict, this intent has only been sporadically enforced.
Any person or organization, public or private, may make inquiries or request the Board to render formal decisions on proposed new names, proposed name changes, or names that are in conflict.
Allen's formal definition is found on page 4 of the original edition of the book: " Any voting system in which the mechanisms for recording and / or tabulating the vote are hidden from the voter, and / or the mechanism lacks a tangible record of the vote cast.
Any dentist in the UK who wishes to train in the field of dental implantology must take part in an extended learning program which covers a detailed theory syllabus, as approved by the GDC, in addition to formal supervised surgical training and mentoring.
* Cheating: Any attempt to give or obtain assistance in a formal academic exercise ( like an examination ) without due acknowledgment.
Any Chinese citizen with the right to vote who has passed a professional competency test after formal training or after two to three years of experience in legal work could qualify as a lawyer.
Any and group
Any normal subgroup has a corresponding quotient group, formed from the larger group by eliminating the distinction between elements of the subgroup.
* Any simply connected solvable Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.
* Any simply connected nilpotent Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices with 1's on the diagonal of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.
Any Lie group G can be decomposed into discrete, simple, and abelian groups in a canonical way as follows.
# Any tangent vector at the identity of a Lie group can be extended to a left invariant vector field by left translating the tangent vector to other points of the manifold.
" Any attempt to organize the group ... under a single authority would eliminate their independent initiatives, and thus reduce their joint effectiveness to that of the single person directing them from the centre.
Any symmetry group whose elements have a common fixed point, which is true for all finite symmetry groups and also for the symmetry groups of bounded figures, can be represented as a subgroup of orthogonal group O ( n ) by choosing the origin to be a fixed point.
However, in the case of a finitely presented group we know that not all the generators can be trivial ( Any individual generator could be, of course ).
Any group that managed to find ways of reasoning effectively would reap benefits for all its members, increasing their fitness.
Any time during a triad conversation, group members can switch seats and one of the co-pilots can sit in the pilot ’ s seat.
Any group can be seen as a category with a single object in which every morphism is invertible ( for every morphism f there is a morphism g that is both left and right inverse to f under composition ) by viewing the group as acting on itself by left multiplication.
Any and law
Any person who felt himself wronged might lay an information before the Council of Areopagus, on declaring what law was broken by the wrong done to him.
Any person could develop and use a coat of arms if they wished to do so, provided they did not usurp someone else's arms, and historically, this right was enshrined in Roman Dutch law.
In an inertial frame, Newton's first law ( the law of inertia ) is satisfied: Any free motion has a constant magnitude and direction.
The law states that “ Any person who is arrested shall have the person ’ s immigration status determined before the person is released ”.
Any conductor, be it a loop, a coil or simply a piece of plate metal, that is placed in this field will have eddy currents induced in it thus creating an opposing magnetic field, in accordance with Lenz's law.
* Noether's theorem: Any quantity which has a continuous differentiable symmetry in the action has an associated conservation law.
Today lynching is a felony in all states of the United States, defined by some codes of law as " Any act of violence inflicted by a mob upon the body of another person which results in the death of the person ," with a " mob " being defined as " the assemblage of two or more persons, without color or authority of law, for the premeditated purpose and with the premeditated intent of committing an act of violence upon the person of another.
:( c ) Any public safety officer, sheriff's deputy or officer authorized by law may seize or arrange for the removal of any Pit Bull Terrier from the city.
Any means, in short, whereby the general law of tithing is altered, and a new method of taking them is introduced, is called a modus decimandi, or special manner of tithing.
* Any use whatsoever of matrimony exercised in such a way that the act is deliberately frustrated in its natural power to generate life is an offense against the law of God and of nature, and those who indulge in such are branded with the guilt of a grave sin.
Any law passed by the District legislature can be nullified by Congressional action, and indeed the District government could be significantly altered or eliminated entirely by a simple majority vote in Congress.
( 2 ) Any non-profit corporation, civic association, or governmental entity which has buildings and grounds open to the public may request for the appointment of constables to serve as law enforcement officers in order to protect life and property.
Any similar canister with the labels reading " dog spray " and / or " bear spray " is regulated under the Pest Control Products Act-while legal to be carried by anyone, it is against the law if its use causes ' a risk of imminent death or serious bodily harm to another person ' or harming the environment and carries a penalty up to a fine of $ 500, 000 and jail time of maximum 3 years.
Any person accused of committing a crime is presumed innocent until proven guilty in a court of law.