Relating to or involving algebra; expressible or demonstrable by algebraic formulas or techniques. It describes mathematical expressions, equations, and systems where letters (variables) represent numbers, and operations like addition, subtraction, multiplication, and division are used to manipulate those variables. The term emphasizes the symbolic manipulation and solution-finding characteristic of algebra. algebraic concepts are fundamental across various branches of mathematics and science, used to model relationships, solve problems, and build more complex theories. These concepts go beyond just number crunching, offering a systematic way to represent and analyze patterns and structures.
Algebraic meaning with examples
- The student struggled with the complex algebraic equations in the calculus class. Understanding the interplay of variables and functions was essential to solving the problems. They needed extra tutoring to grasp the abstract nature of algebraic manipulation and its application to real-world scenarios to master the material.
- Many modern computer graphics systems utilize algebraic representations of 3D geometry to create and manipulate complex images. The algorithms rely on algebraic equations to define the shapes, rotations, and transformations of objects in a virtual world. These calculations enable realistic rendering and animation effects.
- Scientists often use algebraic models to simulate various physical phenomena, such as the behavior of fluid dynamics or the trajectory of projectiles. These equations provide the basis for understanding and predicting how the variables involved interact. The predictive power relies on algebraic and mathematical techniques.
- Financial analysts employ algebraic methods to develop investment models, forecast market trends, and calculate risk assessments. They use formulas to estimate values and solve for unknowns in various areas of economics and finance to make informed decisions.
Algebraic Synonyms
arithmetical calculational equation-based formulaic mathematical symbolicAlgebraic Antonyms
arithmetical (in some contexts) non-algebraic numericalAlgebraic Crossword Answers
11 Letters
ALGEBRAICAL