This study is composed of two phases: the first phase establishes the modular architecture, and taking a bicycle as the case study, applies the Interpretive Structural Model (ISM) to modularize and cluster parts, and then models the connecting relations between the parts numerically using a Disassembly Effort Index (DEI).
Moreover, we can see that Aquinas follows the common medieval practice of connecting relations of this type with both Aristotle's discussion in the Metaphysics and the Boethius-inspired example of the column.
Connected, transitive relations are called weak orderings.
Moreover, x and y are connected with relation (2.5) where y k → l when k → ∞.
For this purpose, we propose connected components' relation tree in successive frames that are explained in the next section.
Throughout the paper, we suppose that the terms of double sequence (x=(x_{mn})) and (y= y_{mn})) are connected with relation (1.2).
Suppose that the elements of the four-dimensional matrices (A=(a_{mnkl})) and (G=(g_{mnkl})) are connected with relation (4.6).
Then we have by Lemma 3.5 that a ˆ = ( a ˆ k ) ∈ ℓ 1 and equality (3.2) holds for all sequences x = ( x k ) ∈ X and y = ( y k ) ∈ Y which are connected by relation (2.2).
Throughout the paper, we suppose that a sequence (x=(x_{n})in{omega}) and (hat{F}_{n}(x)) are connected by relation (1.5) and I is an admissible ideal of subset of (mathbb{N}).
Now, we may give the following theorem by using equality (4.3) between the methods A and E. Suppose that the elements of four-dimensional infinite matrices (A=(a_{mnkl})) and (E=(e_{mnkl})) are connected with relation (4.3).
