Isomorphic definitions
| Word backwards | cihpromosi |
|---|---|
| Part of speech | The word "isomorphic" is an adjective. |
| Syllabic division | i-so-mor-phic |
| Plural | The plural of isomorphic is isomorphisms. |
| Total letters | 10 |
| Vogais (2) | i,o |
| Consonants (6) | s,m,r,p,h,c |
Understanding Isomorphic in Computer Science
Isomorphic, in the context of computer science, refers to a property or concept where two mathematical structures, functions, or objects are essentially the same in terms of their internal structure or properties. This term is commonly used in fields such as graph theory, algebra, and programming to denote objects that are structurally identical or have a one-to-one correspondence.
Isomorphic Graphs
In graph theory, isomorphic graphs are two graphs that have the same number of vertices connected in the same way. This means that they have identical adjacency matrices, although the vertices may be labeled differently. Two graphs are considered isomorphic if there exists a bijective function (one-to-one correspondence) between their vertex sets that preserves adjacency.
Isomorphic Functions
Similarly, in algebra, isomorphic functions refer to mappings between sets that preserve the algebraic structure. This means that two sets with different representations can be considered isomorphic if there exists a function between them that respects the operations defined on the sets.
Overall, the concept of isomorphic is crucial in various branches of computer science as it allows for the comparison and analysis of mathematical structures and objects. Understanding isomorphism helps in identifying similarities between different structures and in solving problems by leveraging these structural equivalences.
Isomorphic Examples
- The two mathematical structures are isomorphic to each other.
- The biology textbook explained how the two species have isomorphic features.
- In chemistry, isomorphic substances have the same crystal structure.
- The architect designed two isomorphic buildings that look identical.
- The programming languages are not isomorphic in terms of syntax.
- The isomorphic nature of the two algorithms made them interchangeable.
- The isomorphic relationship between the two concepts was evident in the research paper.
- The economic models showed isomorphic patterns in various industries.
- Human brains exhibit isomorphic organization in certain cognitive functions.
- The isomorphic shapes of the crystals indicated a common mineral composition.