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parid0909
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Wed, 22 Jan 2003 06:28:02
It establishes that the orientation of the connectedness represented by an arc is an essential aspect of the definition of "arc" in this RM4TM. For purposes of a TM Application's definition of a "situation feature" (see 3.4.2), for example, it is insufficient merely to say that two nodes are connected by a certain type of arc. The specification of the arc must also include information as to which node serves as which endpoint type. In order to represent connectedness equivalent to the connectedness represented by an RM4TM arc in some "directed graph" paradigms, at least two directed graph arcs must be used, plus whatever additional machinery may be required to associate the two directed graph arcs in order to represent that both represent different directional aspects of the same connectedness. By contrast, RM4TM arcs are nondirectional, but oriented.
(delete)
Already incorporated directly in the revision of parid0056, see (insert revision parid number). Suspect "oriented" is not the right word for this case. What is meant, is that AT is not the same as TA. Which is to say, is the order of A and T is noncommutative. (Communtative being 2 + 3 = 5 is the same as 3 + 2 = 5, order does not matter, but noncommutative being 6 / 2 = 3 versus 2 / 6 = .3333..., order matters a great deal.
—pdurusau@emory.edu
parid0909
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Wed, 22 Jan 2003 06:28:02
It establishes that the orientation of the connectedness represented by an arc is an essential aspect of the definition of "arc" in this RM4TM. For purposes of a TM Application's definition of a "situation feature" (see 3.4.2), for example, it is insufficient merely to say that two nodes are connected by a certain type of arc. The specification of the arc must also include information as to which node serves as which endpoint type. In order to represent connectedness equivalent to the connectedness represented by an RM4TM arc in some "directed graph" paradigms, at least two directed graph arcs must be used, plus whatever additional machinery may be required to associate the two directed graph arcs in order to represent that both represent different directional aspects of the same connectedness. By contrast, RM4TM arcs are nondirectional, but oriented.
(delete)
Already incorporated directly in the revision of parid0056, see (insert revision parid number). Suspect "oriented" is not the right word for this case. What is meant, is that AT is not the same as TA. Which is to say, is the order of A and T is noncommutative. (Communtative being 2 + 3 = 5 is the same as 3 + 2 = 5, order does not matter, but noncommutative being 6 / 2 = 3 versus 2 / 6 = .3333..., order matters a great deal.
parid0909
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Wed, 22 Jan 2003 06:28:02
It establishes that the orientation of the connectedness represented by an arc is an essential aspect of the definition of "arc" in this RM4TM. For purposes of a TM Application's definition of a "situation feature" (see 3.4.2), for example, it is insufficient merely to say that two nodes are connected by a certain type of arc. The specification of the arc must also include information as to which node serves as which endpoint type. In order to represent connectedness equivalent to the connectedness represented by an RM4TM arc in some "directed graph" paradigms, at least two directed graph arcs must be used, plus whatever additional machinery may be required to associate the two directed graph arcs in order to represent that both represent different directional aspects of the same connectedness. By contrast, RM4TM arcs are nondirectional, but oriented.
(delete)
Already incorporated directly in the revision of parid0056, see (insert revision parid number). Suspect "oriented" is not the right word for this case. What is meant, is that AT is not the same as TA. Which is to say, is the order of A and T is noncommutative. (Communtative being 2 + 3 = 5 is the same as 3 + 2 = 5, order does not matter, but noncommutative being 6 / 2 = 3 versus 2 / 6 = .3333..., order matters a great deal.
parid0909
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Wed, 22 Jan 2003 06:28:02
It establishes that the orientation of the connectedness represented by an arc is an essential aspect of the definition of "arc" in this RM4TM. For purposes of a TM Application's definition of a "situation feature" (see 3.4.2), for example, it is insufficient merely to say that two nodes are connected by a certain type of arc. The specification of the arc must also include information as to which node serves as which endpoint type. In order to represent connectedness equivalent to the connectedness represented by an RM4TM arc in some "directed graph" paradigms, at least two directed graph arcs must be used, plus whatever additional machinery may be required to associate the two directed graph arcs in order to represent that both represent different directional aspects of the same connectedness. By contrast, RM4TM arcs are nondirectional, but oriented.
(delete)
Already incorporated directly in the revision of parid0056, see (insert revision parid number). Suspect "oriented" is not the right word for this case. What is meant, is that AT is not the same as TA. Which is to say, is the order of A and T is noncommutative. (Communtative being 2 + 3 = 5 is the same as 3 + 2 = 5, order does not matter, but noncommutative being 6 / 2 = 3 versus 2 / 6 = .3333..., order matters a great deal.
parid0909
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Wed, 22 Jan 2003 06:28:02
It establishes that the orientation of the connectedness represented by an arc is an essential aspect of the definition of "arc" in this RM4TM. For purposes of a TM Application's definition of a "situation feature" (see 3.4.2), for example, it is insufficient merely to say that two nodes are connected by a certain type of arc. The specification of the arc must also include information as to which node serves as which endpoint type. In order to represent connectedness equivalent to the connectedness represented by an RM4TM arc in some "directed graph" paradigms, at least two directed graph arcs must be used, plus whatever additional machinery may be required to associate the two directed graph arcs in order to represent that both represent different directional aspects of the same connectedness. By contrast, RM4TM arcs are nondirectional, but oriented.
(delete)
Already incorporated directly in the revision of parid0056, see (insert revision parid number). Suspect "oriented" is not the right word for this case. What is meant, is that AT is not the same as TA. Which is to say, is the order of A and T is noncommutative. (Communtative being 2 + 3 = 5 is the same as 3 + 2 = 5, order does not matter, but noncommutative being 6 / 2 = 3 versus 2 / 6 = .3333..., order matters a great deal.
parid0909
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Wed, 22 Jan 2003 06:28:02
It establishes that the orientation of the connectedness represented by an arc is an essential aspect of the definition of "arc" in this RM4TM. For purposes of a TM Application's definition of a "situation feature" (see 3.4.2), for example, it is insufficient merely to say that two nodes are connected by a certain type of arc. The specification of the arc must also include information as to which node serves as which endpoint type. In order to represent connectedness equivalent to the connectedness represented by an RM4TM arc in some "directed graph" paradigms, at least two directed graph arcs must be used, plus whatever additional machinery may be required to associate the two directed graph arcs in order to represent that both represent different directional aspects of the same connectedness. By contrast, RM4TM arcs are nondirectional, but oriented.
(delete)
Already incorporated directly in the revision of parid0056, see (insert revision parid number). Suspect "oriented" is not the right word for this case. What is meant, is that AT is not the same as TA. Which is to say, is the order of A and T is noncommutative. (Communtative being 2 + 3 = 5 is the same as 3 + 2 = 5, order does not matter, but noncommutative being 6 / 2 = 3 versus 2 / 6 = .3333..., order matters a great deal.
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