In computer science, a symbolic language is a language that uses characters or symbols to represent concepts, such as mathematical operations and the entities (or operands) on which these operations are performed.
Modern programming languages use symbols to represent concepts and/or data and are therefore, examples of symbolic languages.
Some programming languages (such as Lisp and Mathematica) make it easy to represent higher-level abstractions as expressions in the language, enabling symbolic programming.
*Mathematical notation:
Mathematical notation is a system of symbolic representations of mathematical objects and ideas. Mathematical notations are used in mathematics, the physical sciences, engineering, and economics. Mathematical notations include relatively simple symbolic representations, such as the numbers 0, 1 and 2; variables such as x, y and z; delimiters such as "(" and "|"; function symbols such as sin; operator symbols such as "+"; relational symbols such as "<"; conceptual symbols such as lim and dy/dx; equations and complex diagrammatic notations such as Penrose graphical notation and Coxeter–Dynkin diagrams.
The codes for mathematical notation in the standard for names of scripts ISO 15924 are Zmth[6] and 995.
*Notation:
In linguistics and semiotics, a notation is a system of graphics or symbols, characters and abbreviated expressions, used (for example) in artistic and scientific disciplines to represent technical facts and quantities by convention. Therefore, a notation is a collection of related symbols that are each given an arbitrary meaning, created to facilitate structured communication within a domain knowledge or field of study.
Standard notations refer to general agreements in the way things are written or denoted. The term is generally used in technical and scientific areas of study like mathematics, physics, chemistry and biology, but can also be seen in areas like business, economics and music.