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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.
How many zeros to append in CRC?
The number of zeros to append in a CRC (Cyclic Redundancy Check) calculation is equal to the degree of the generator polynomial used in the CRC algorithm. For example, if the generator polynomial is of degree 3, you would append 3 zeros to the data before performing the division to calculate the CRC. This process helps ensure that the appended CRC value can be used to detect errors in the transmitted data.
Which error detection method involves polynomials?
The error detection method that involves polynomials is known as Cyclic Redundancy Check (CRC). In CRC, data is treated as a polynomial and divided by a predetermined generator polynomial, with the remainder serving as the checksum. This checksum is appended to the data before transmission, allowing the receiver to perform the same polynomial division to check for errors. If the remainder matches, the data is considered error-free; otherwise, an error is detected.
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 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.
What is the noun for cyclic?
The word 'cyclic' is the adjective form of the noun cycle.
What is Cyclic Fault-Finding?
Cyclic Fault-Finding is a systematic approach used in engineering and maintenance to identify and diagnose faults in a cyclic or repetitive manner. This method involves analyzing data and system behavior over defined cycles to pinpoint recurring issues or patterns that lead to failures. By focusing on cycles, engineers can uncover underlying problems that may not be evident through random inspections. Ultimately, this technique enhances reliability and performance by facilitating proactive maintenance and timely interventions.
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
What is the relation between the size of the CRC remainder and the divisor?
The size of the CRC (Cyclic Redundancy Check) remainder is directly related to the size of the divisor, which is typically a polynomial represented in binary form. The remainder is always of a size that is one less than the size of the divisor. For instance, if the divisor is an ( n )-bit polynomial, the CRC remainder will be an ( (n-1) )-bit value. This relationship ensures that the CRC can be efficiently computed and verified.
