Wolfram Language
By Wolfram Research
Wolfram Language is a symbolic, multi-paradigm programming language developed by Wolfram Research as the computational engine behind Mathematica and the Wolfram Cloud. It represents nearly everything, including code itself, as symbolic…
Definition
Wolfram Language is a symbolic, multi-paradigm programming language developed by Wolfram Research as the computational engine behind Mathematica and the Wolfram Cloud. It represents nearly everything, including code itself, as symbolic expressions that can be manipulated, transformed, and evaluated, and it ships with an unusually large built-in library covering algebra, calculus, visualization, image processing, and access to curated real-world data.
Overview
Wolfram Language grew out of Mathematica, first released in the late 1980s as a tool for symbolic mathematics, and was later named and positioned as a general-purpose programming language in its own right, independent of any single front-end application. Its core idea is that everything in the system, whether a number, a function definition, a graphic, an equation, or a piece of source code, is a symbolic expression of the form head[arguments]. This uniform representation lets the same transformation rules that simplify an algebraic expression also rewrite programs, build user interfaces, or manipulate arbitrary data structures without switching mental models between code and data. Mechanically, the language relies on pattern matching and term rewriting rather than a conventional call stack as its primary execution model. A program is a set of rules the kernel applies repeatedly to an expression until no rule matches, which supports functional, rule-based, and procedural styles side by side within the same session. The system also bundles thousands of built-in functions spanning number theory, image processing, natural language parsing, and geometry, and it connects directly to curated, continuously updated data on topics from chemistry to geography and finance, so many tasks that would require pulling in several external libraries elsewhere reduce to a single function call here. Among symbolic and numeric computation tools, Wolfram Language sits closer to Maple than to general-purpose languages like Python: both prioritize exact symbolic manipulation, arbitrary-precision arithmetic, and deeply cross-linked documentation over minimalism or raw execution speed. It differs from open alternatives such as GNU Octave or Scilab, which focus on numerical matrix computation in a MATLAB-like syntax, by treating symbolic reasoning as the default computational mode rather than an add-on layered onto numeric routines. In practice, it is used in research, engineering, and education for symbolic algebra, solving differential equations exactly, algorithm prototyping, interactive notebooks, and building small computational web apps and APIs deployed through the Wolfram Cloud without separate hosting infrastructure. Notebooks mix formatted text, live code, and graphics in one document, which makes the language popular for exploratory work and for publishing self-contained, reproducible technical reports that a reader can re-execute. The main trade-offs are licensing cost and ecosystem lock-in: Wolfram Language is proprietary, tightly coupled to the Wolfram kernel, and less suited to large-scale software engineering, deployment automation, or systems programming than mainstream languages with broader hiring pools. Teams already standardized on Python's numeric stack, or needing free and open tooling for production systems, typically reach for NumPy, SciPy, or Julia instead, reserving Wolfram Language specifically for symbolic-heavy or exploratory mathematical work where its notation and integrated data pay off.
Key Features
- Represents code, data, and graphics uniformly as symbolic expressions
- Pattern-matching and term-rewriting engine drives most computation
- Enormous built-in function library spanning math, image, and text processing
- Direct access to curated, continuously maintained real-world datasets
- Interactive notebook interface mixing text, code, and live output
- Native support for arbitrary-precision and exact symbolic arithmetic
- Built-in deployment to the Wolfram Cloud as web apps or APIs
- Consistent, deeply cross-referenced documentation for every function