A formula is a concise symbolic way of expressing information, and its plural can be either formulas or formulae. In mathematics, formulas such as the volume of a sphere ((V = \frac{4}{3}\pi r^3)) or Newton's second law ((F=ma)) act as powerful models that enable quick calculations of real-world phenomena. They are distinct from simple expressions because they include relations like equality or inequality—for instance, (8x - 5 \geq 3) is a formula, while (8x - 5) is just an expression. In mathematical logic, a formula is a well-formed structure built from the symbols and rules of a logical language. In chemistry, formulas like H₂O specify the exact atomic proportions of a compound, such as two hydrogen atoms and one oxygen atom in water, or O₃ for ozone. Ultimately, whether in math or science, formulas form the essential basis for calculations and problem-solving.