Algorithmic Triad - The Basic Concepts Of Algorithms
Strings (SiPjAjk) = S7P3A32 Base Sequence = 12735 String Sequence = 12735 - 3 - 32
Figure 117.1 illustrates the conceptual essence of algorithms. Assuming a problem has been properly defined, What is meant by Algorithmic Triad.
S7P3A32 (Force - Push).
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.
Single Variable Functions
Ordinary Differential Equations (ODEs)
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Derivation Of Heat Equation For A One-Dimensional Heat Flow
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.
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
More Pj Problem Strings