Algorithmic Triad - The Basic Concepts Of Algorithms

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{3}A_{32} Base Sequence = 12735 String Sequence = 12735 - 3 - 32 **

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Algorithmic Triad - The Basic Concepts Of Algorithms

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Figure 117.1 illustrates the conceptual essence of algorithms. Assuming a problem has been properly defined, What is meant by *Algorithmic Triad*.

**The strings**:
S_{7}P_{3}A_{32} (Force - Push).
**The math**:

Pj Problem of Interest is of type *force* (push and pull). *Algorithm* is the formal name assigned to the set of instructions used to solve a given problem. These instructions are essentially *pull* and *push* actions. The *push* actions are dominant (e.g instructions are pushed along to solution). Hence the Pj Problem of Interest is of type *force-push*.

*Algorithms* are at the heart of problem solving. They are the set of instructions used to solve problems. In essence they *bridge* problem conceptualization and definition to problem solution.
**Specification of Input**: means that the data members that constitute the ingredients needed for the solution of the problem must be specified.
**Specification of Output**: means that the products desired from the processing of the inputs must be specified.
**Ambiguity Intolerance**: means the operations involved in the processing of the input to produce the desired products must be unambiguous:

(a) The order in which the operations are performed must be given.

(b) At each step, the next operation must be unambiguously determined (deterministic). Non-deterministic algorithms are of theoretical importance but are not implied in the algorithmic triad which focuses on *computational algorithm*..

(c) The number of operations, including repetitions must be finite.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

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More Pj Problem Strings