The symmetric group S4 is also a (CP)-group, but symmetric groups of larger degree are not. However, S4 is not a (CP1)-group. > IsCPGroupSymm4 true (5) > IsCP1GroupSymm4 false (6) > orseqIsCPGroupSymmn,n=5..10 false (7) A cyclic group...
IsMetacyclicMetacyclicGroup3,2,3 true (3) > IsMetacyclicFrobeniusGroup186,1 true (4) > IsMetacyclicCyclicGroup9 true (5) Compatibility • TheGroupTheory[IsMetacyclic]command was introduced in Maple 2019. ...
The discrete logarithm problem (DLP) is one of the cornerstones of the fields of cryptology and cryptography. It is described using a finite cyclic group G with a generator g (primitive root modulo p); an element h, where h is an element in the group G and generated by g; and a prim...
Here is the result we are proving: Let be a prime power and let be the cyclic group of order . Let be a set which does not contain any three term arithmetic progression, except for the trivial progressions . Then The exciting thing about this bound is that it is exponentially better t...
(CMAC) ■ 32-bit cyclic redundancy code (CRC) generator ■ Random number generators ❐ Pseudo random number generator (PRNG) ❐ True random number generator (TRNG) Protection Units This product line has multiple types of protection units to control erroneous or unauthorized ...
Briefly, the MI takes into account the cyclic nature of phase variables by P I :¼ P1 ij wij ijNwÀij1dPθðXi id;θXðXÞdi;θXðXÞj2; XÞ ; ð2Þ where N denotes the number of observables Xi, and wij the spatial weights, and dθðX1; X2Þ :¼ ...
Briefly, the MI takes into account the cyclic nature of phase variables by $$I: = \frac{1}{{\mathop {\sum}\nolimits_{ij} {w_{ij}} }}\frac{{\mathop {\sum}\nolimits_{ij} {w_{ij}{\mathrm{d}}_\theta (X_i,\bar X){\mathrm{d}}_\theta (X_j,\bar X)} }}{{N^{ -...
Our findings shed light on the important role of cyclic tensile forces in tissue morphogenesis. Introduction Research over the past decades has indicated that mechanical cues can regulate critical cellular processes to drive important events such as morphogenesis. However, the underlying mechanisms for ...
►cyclicACMIPointPatchField ►cyclicACMIPolyPatch ►cyclicAMIFvPatch ►cyclicAMIFvPatchField ►cyclicAMIFvsPatchField ►cyclicAMIGAMGInterface ►cyclicAMIGAMGInterfaceField ►cyclicAMILduInterface ►cyclicAMILduInterfaceField ►cyclicAMIPointPatch ►cyclicAMIPointPatchField ►cyclicAMIPolyPatch...
For more information on Maple 17 changes, seeUpdates in Maple 17. See Also GroupTheory GroupTheory[AlternatingGroup] GroupTheory[CyclicGroup] GroupTheory[DihedralGroup] GroupTheory[HaradaNortonGroup] GroupTheory[PSL] GroupTheory[SymmetricGroup] Download Help Document...