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ACT, Inc. says that the ACT assessment measures high school students' general educational development and their capability to complete college-level work with the multiple choice tests covering four skill areas: English, mathematics, reading, and science.
Blaise Pascal helped Pierre de Fermat in his work related to the development of probability theory which strongly influenced the development of modern economics and social science.
Mathematics is the medium language with definite instructive explaining how thing related or worked in science. Early learning in science (say primary school) might need a lot of memorizing and little calculation. At the higher end, it will be less memorizing and more to understanding of how thing work or relate. It is when Maths become the major part of science.
Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. From the eighteenth century onwards, this was a recognized category of mathematical activity, sometimes characterized as speculative mathematics, and at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on.Another insightful view put forth is that pure mathematics is not necessarily applied mathematics: it is possible to study abstract entities with respect to their intrinsic nature, and not be concerned with how they manifest in the real world. Even though the pure and applied viewpoints are distinct philosophical positions, in practice there is much overlap in the activity of pure and applied mathematicians. To develop accurate models for describing the real world, many applied mathematicians draw on tools and techniques that are often considered to be "pure" mathematics. On the other hand, many pure mathematicians draw on natural and social phenomena as inspiration for their abstract research.Applied mathematics is a branch of mathematics that concerns itself with mathematical methods that are typically used in science, engineering, business, and industry. Thus, "applied mathematics" is a mathematical science with specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems; as a profession focused on practical problems, applied mathematics focuses on the formulation and study of mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics, where mathematics is developed primarily for its own sake. Thus, the activity of applied mathematics is vitally connected with research in pure mathematics.
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