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Consider a Soldier Facing in a Given Direction (Say North)

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Consider a soldier facing in a given direction (say north). Let us denote "left face" by l, "right face" by r, "about face" by a, and "stand fast" by
f. (The element f means "don't move from your present position." It does not mean "return to your original position.") Then we define Consider a soldier facing in a given direction (say north). Let us denote  left face  by l,  right face  by r,  about face  by a, and  stand fast  by f. (The element f means  don't move from your present position.  It does not mean  return to your original position. ) Then we define   and an operation   meaning  followed by . Thus,   means  left face  followed by  left face  and is the same as the single  about face . Does the set H and operation   satisfy the commutative property? ​ Answer yes or no. and an operation Consider a soldier facing in a given direction (say north). Let us denote  left face  by l,  right face  by r,  about face  by a, and  stand fast  by f. (The element f means  don't move from your present position.  It does not mean  return to your original position. ) Then we define   and an operation   meaning  followed by . Thus,   means  left face  followed by  left face  and is the same as the single  about face . Does the set H and operation   satisfy the commutative property? ​ Answer yes or no. meaning "followed by". Thus, Consider a soldier facing in a given direction (say north). Let us denote  left face  by l,  right face  by r,  about face  by a, and  stand fast  by f. (The element f means  don't move from your present position.  It does not mean  return to your original position. ) Then we define   and an operation   meaning  followed by . Thus,   means  left face  followed by  left face  and is the same as the single  about face . Does the set H and operation   satisfy the commutative property? ​ Answer yes or no. means "left face" followed by "left face" and is the same as the single "about face". Does the set H and operation Consider a soldier facing in a given direction (say north). Let us denote  left face  by l,  right face  by r,  about face  by a, and  stand fast  by f. (The element f means  don't move from your present position.  It does not mean  return to your original position. ) Then we define   and an operation   meaning  followed by . Thus,   means  left face  followed by  left face  and is the same as the single  about face . Does the set H and operation   satisfy the commutative property? ​ Answer yes or no. satisfy the commutative property?

Answer yes or no.

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