Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature.
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When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature.
Mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity.
Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries.
Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory.
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