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What is finite and infinite cyclic group?
Normally, a cyclic group is defined as a set of numbers generated by repeated use of an operator on a single element which is called the generator and is denoted by g.If the operation is multiplicative then the elements are g0, g1, g2, ...Such a group may be finite or infinite. If for some integer k, gk = g0 then the cyclic group is finite, of order k. If there is no such k, then it is infinite - and is isomorphic to Z(integers) with the operation being addition.
How cyclic integral of a point function is zero?
the cyclic integral of this is zero
Is every finite abelian group is cyclic?
No, for instance the Klein group is finite and abelian but not cyclic. Even more groups can be found having this chariacteristic for instance Z9 x Z9 is abelian but not cyclic
Is every cyclic group abelian?
Yes. Lets call the generator of the group z, then every element of the group can be written as zk for some k. Then the product of two elements is: zkzm=zk+m Notice though that then zmzk=zm+k=zk+m=zkzm, so the group is indeed abelian.
What are the opposite angles of a quadrilateral inscribed in a circle?
A quadrilateral is inscribed in a circle it means all the vertices of quadrilateral are touching the circle. therefore it is a cyclic quadrilateral and sum of the opposite angles in cyclic quadrilateral is supplementary. suppose if one angle is A then another will be 180 degree - angle A.
Is it true that an infinite cyclic group may have 3 distinct generators?
A cyclic group, by definition, has only one generator. An example of an infinite cyclic group is the integers with addition. This group is generated by 1.
Every subgroup of a cyclic group is cyclic?
Yes, every subgroup of a cyclic group is cyclic because every subgroup is a group.
Is meiosis cyclic or non cyclic?
Meiosis is not cyclic; rather it is a linear process. It does not cycle.
What is the noun for cyclic?
The word 'cyclic' is the adjective form of the noun cycle.
What is finite and infinite cyclic group?
Normally, a cyclic group is defined as a set of numbers generated by repeated use of an operator on a single element which is called the generator and is denoted by g.If the operation is multiplicative then the elements are g0, g1, g2, ...Such a group may be finite or infinite. If for some integer k, gk = g0 then the cyclic group is finite, of order k. If there is no such k, then it is infinite - and is isomorphic to Z(integers) with the operation being addition.
Is every abelian group is cyclic or not and why?
every abelian group is not cyclic. e.g, set of (Q,+) it is an abelian group but not cyclic.
Prove that coordinate is cyclic in Lagrangian then it is also cyclic in Hamiltonian?
If a coordinate is cyclic in the Lagrangian, then the corresponding momentum is conserved. In the Hamiltonian formalism, the momentum associated with a cyclic coordinate becomes the generalized coordinate's conjugate momentum, which also remains constant. Therefore, if a coordinate is cyclic in the Lagrangian, it will also be cyclic in the Hamiltonian.
How cyclic integral of a point function is zero?
the cyclic integral of this is zero
Are tides cyclic or random events?
Cyclic.... Sources: A basic Science Class.....
What reactions are referred to as light dependent reactions?
Cyclic and non-cyclic photophosphorylation.
What is a cyclic change?
A cyclic change is a change that happens in an orderly way and where the events repeat constantly. Cyclic changes include seasonal events and tides.
When was the ARFORGEN model introduced as a cyclic readiness model?
The ARFORGEN (Army Force Generation) model was introduced in 2006 as a cyclic readiness model for the U.S. Army. It was designed to provide a structured framework for managing the training, equipping, and sustaining of forces, ensuring that units are prepared for deployment in a more systematic and predictable manner. The model emphasizes a continuous cycle of readiness to meet operational demands effectively.
