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Hence instead of triadic relations you have operands and operators where an operator is also a separator, yet altogether resulting in an operation. The most generic operation follows transitivity, in other words if you have a subject that has to be linked to an object reflecting associations between physical things and their names, objects and their properties, etc. in various sequences produced by the operation transit or change).
An SVO sentence pattern is an example of such transitivity in action. A logical phrase SP and SQ are other morphs with the operator disguised. Operators are normally not indicated as in „ab” (axb) or even in additive relations. In addition for example, what you make note of is the sum itself, and not the number of operations (addition) performed in the calculation (because they are the same in numeric terms). This is as important feature, although totally neglected, because it represents a compact way of denoting symbols and their relations. Nevertheless, when making a computer, you cannot disregard keeping track of the number operations performed.
Consequently, you have various kinds of objects all related by a verb that when fully specified, gives you the details of such a relation that enables you to visualize what takes place/is happening/or was the case. Comparison is the most fundamental mental operation that calls for two objects that are comparable on some grounds despite their differences in other respects. In ancient times comparison was physically performed by overlapping the two items in „space” (on a plane in fact, which was the forerunner of division, both a physical and a mental operation that proved to be very useful in a world where the distribution of goodies was a major component of social life.
The fact that you do (can) not keep track of the number of operations (repetitions of the operand and operators at different times and places) has lead us to two extreme solutions, namely the use of quantors without being able to check if any of those quantors are true or make sense. Fuzzy sets explain how you go round that problem, but interestingly enough the use of quantors is so popular that even syllogisms are built on them as some foolproof ground so logic and reasoning despite the fact that syllogism are nothing but a sort operation base on quantity, which may sound provoking but I need to explain it next time, should anyone be interested.
Ferenc Kovacs
For people who do not accept that relations in a natural language is represented by a verb, although the very same relation may be described in other linguistic (grammar) structures and who do not believe that the most generic word and unit of expressing ideas is an object grounded in sensory experience and some mental operations as separation and/or isolation (resulting in a name as well as a concept) it may be difficult to see that relations are operations whether they are indicated expressly or hidden otherwise.
[MW>] The mistake that people often make is to consider that a relation is something that is represented, rather than it being a way of representing something. That is, it is a mathematical structure that can be used in many different ways to represent many different things. It is not a fundamental ontological category.
Regards
Matthew West
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How do you confirm that your presumed constraint makes the resulting system Fit For Purpose? Friedman did.
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--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
Joseph,Rather than variables and equations the fundamentals may be Operands and Operators. Each can be simple, compound or complex. What you describe strikes me as a special case, not a system perspective.Is this possible?Jack
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Joe,Be clear that George was addressing a model as in a simulator so the terms he selected make sense in that context.When addressing a general model of system structure I suggest using more generic terms.Your choice, of course.Jack
i2 = j2 = k2 = ijk = 1:
He showed that they were a normed division algebra and used this to express the product of two sums of eight perfect squares as another sum of eight perfect squares: the `eight squares theorem' [51 http://www.ams.org/journals/bull/2002-39-02/S0273-0979-01-00934-X/S0273-0979-01-00934-X.pdf
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OK, I will try this M1 UML example from “Brian’s Gemini Music” – part of a revenue business process from a database class with REA (Resource-Event-Agent) modeling.
Jobs (gigs) are entertainment events (occurrents) that last 1-4 hours (weddings, reunions, corporate functions, booze cruises, etc.). Players are people who may play multiple roles (DJ, singer, dancer, officiant, etc,) on a single job. The entrepreneur needs to know who did what for how long on every gig.
Bill McCarthy
Michigan State University
Ronald Stamper
Jack
Jack
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Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
--
Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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Dear William,
I can provide an answer to this example.
If you look at the attached space time diagram you can see that I have transformed the diamond in your diagram into a state_of_person (clearly not a triadic relationship) that is a participant in an activity (Gig) that is classified by a particular role. The state of course has a start and end time, the start time for the person is their DoB. I have not done the qualification or rate for the job, but these do not affect the triadicity of the relation and can be relatively easily added.
By the way, the arrows in the diagram represent classification relationships, and whole part is represented by things being geometrically part of.
Regards
Matthew West
Information Junction
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--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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Ronald Stamper
Jack
Jack
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--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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--Joe Simpson
“Reasonable people adapt themselves to the world.
Unreasonable people attempt to adapt the world to themselves.
All progress, therefore, depends on unreasonable people.”
George Bernard Shaw
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Ronald
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JPL has released the SWEET ontologies, there is no date on the website page.
1993-02-02 -->The list of "production" libraries actually fills two legal sized pages! 10 JCL libraries & 72+ source libraries.
DEDo remember, JPL is a very small organization. Last I looked
they claimed ~5,000 people.
Yes, but in the percentage of PhDs, they are closer to a university
than an automobile manufacturer. And in the percentage of leading-
edge research projects in aerospace, they're at or near the top.
They are the experts. Their judgment takes priority.