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Function means tree. In engineering design, a function–means tree (a.k.a. function/means tree or F/M tree) is a method for functional decomposition and concept generation. At the top level, main functions are identified. Under each function, a means (or solution element) is attached. Alternative solution elements can also be attached.
In the theory of complex systems, a function tree is a diagram showing the dependencies between the functions of a system. It breaks a problem (or its solution) down into simpler parts, allowing the design and development to be more focused and efficient. [1] When used in computer programming, a function tree visualizes which function calls ...
A tree structure, tree diagram, or tree model is a way of representing the hierarchical nature of a structure in a graphical form. It is named a "tree structure" because the classic representation resembles a tree , although the chart is generally upside down compared to a biological tree, with the "stem" at the top and the "leaves" at the bottom.
Decision tables are a concise visual representation for specifying which actions to perform depending on given conditions. Decision table is the term used for a Control table or State-transition table in the field of Business process modeling; they are usually formatted as the transpose of the way they are formatted in Software engineering.
The nested set model is a technique for representing nested set collections (also known as trees or hierarchies) in relational databases.. It is based on Nested Intervals, that "are immune to hierarchy reorganization problem, and allow answering ancestor path hierarchical queries algorithmically — without accessing the stored hierarchy relation".
Folds can be regarded as consistently replacing the structural components of a data structure with functions and values. Lists, for example, are built up in many functional languages from two primitives: any list is either an empty list, commonly called nil ([]), or is constructed by prefixing an element in front of another list, creating what is called a cons node ( Cons(X1,Cons(X2,Cons ...
Employing coloring to distinguish members of F and Q, and using the ranked alphabet F={ false, true, nil, cons (.,.) }, with cons having arity 2 and all other symbols having arity 0, a bottom-up tree automaton accepting the set of all finite lists of boolean values can be defined as (Q, F, Q f, Δ) with Q = { Bool, BList}, Q f = { BList}, and Δ consisting of the rules
Notice that the right child of a left child of the root of a sub-tree (for example node B in the diagram for the tree rooted at Q) can become the left child of the root, that itself becomes the right child of the "new" root in the rotated sub-tree, without violating either of those constraints. As seen in the diagram, the order of the leaves ...