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Mathematics provides a compact and precise language used to describe arrangement in nature and was advocated by Pythagoras, Plato, Galileo, and Newton.
Physics uses mathematics to organize and formulate experimental results. From these results, accurate or estimated solutions are obtained, quantitative results from which new predictions can be experimentally confirmed or denied. Results from physics experiments are numerical data, with units of measurement and estimates of errors in measurements. Mathematics-based technologies, such as computation, have made computational physics an active area of research.
Ontology is a prerequisite for physics, but not for mathematics. This means that physics is ultimately concerned with descriptions of the real world, while mathematics is concerned with abstract patterns, even outside the real world. Thus, physical data is synthetic, while mathematical data is analytical. Mathematics contains hypotheses, while physics contains theories. Mathematics statements should only be logically correct, while predictions of physics data should match observed and experimental data.
The distinction is clear, but not always clear. For example, mathematical physics is the application of mathematics to physics. Its methods are mathematical, but its subject matter is material.
Problems in this field begin with a "mathematical model of a physical state" (a system) and a "mathematical description of a physical law" that will be applied to that system. Every mathematical phrase used to solve has a hard-to-find physical meaning. The ultimate mathematical solution has a meaning that is easy to find, because it is what the analyst is looking for.
Physics is a branch of the basic sciences, not the applied sciences. Physics is also called "basic science" because the subject matter of studying all branches of natural sciences such as chemistry, astronomy, geology and biology is restricted by the laws of physics,
Similar to how chemistry is often called the central science because of its role in linking the physical sciences, chemistry studies the properties, structures, and reactions of matter (chemistry's focus on the atomic scale distinguishes it from physics). Structures are formed because particles exert electrical forces on each other, and include the physical properties of certain materials, and the interactions are bound by the laws of physics, such as the conservation of energy, mass and charge.
Physics is applied in industries such as engineering and medicine.
Applied physics is a general term for physics research and is intended for a specific use. The applied physics curriculum usually contains a small number of classes in an applied discipline, such as geology or electrical engineering. It usually differs from engineering in that an applied physicist may not design something special, but rather use physics or conduct physics research with the goal of developing new technologies or solving a problem.
Additional information for the current page content
Mathematics provides a compact and precise language used to describe arrangement in nature and was advocated by Pythagoras, Plato, Galileo, and Newton.
Physics uses mathematics to organize and formulate experimental results. From these results, accurate or estimated solutions are obtained, quantitative results from which new predictions can be experimentally confirmed or denied. Results from physics experiments are numerical data, with units of measurement and estimates of errors in measurements. Mathematics-based technologies, such as computation, have made computational physics an active area of research.
Ontology is a prerequisite for physics, but not for mathematics. This means that physics is ultimately concerned with descriptions of the real world, while mathematics is concerned with abstract patterns, even outside the real world. Thus, physical data is synthetic, while mathematical data is analytical. Mathematics contains hypotheses, while physics contains theories. Mathematics statements should only be logically correct, while predictions of physics data should match observed and experimental data.
The distinction is clear, but not always clear. For example, mathematical physics is the application of mathematics to physics. Its methods are mathematical, but its subject matter is material.
Problems in this field begin with a "mathematical model of a physical state" (a system) and a "mathematical description of a physical law" that will be applied to that system. Every mathematical phrase used to solve has a hard-to-find physical meaning. The ultimate mathematical solution has a meaning that is easy to find, because it is what the analyst is looking for.
Physics is a branch of the basic sciences, not the applied sciences. Physics is also called "basic science" because the subject matter of studying all branches of natural sciences such as chemistry, astronomy, geology and biology is restricted by the laws of physics,
Similar to how chemistry is often called the central science because of its role in linking the physical sciences, chemistry studies the properties, structures, and reactions of matter (chemistry's focus on the atomic scale distinguishes it from physics). Structures are formed because particles exert electrical forces on each other, and include the physical properties of certain materials, and the interactions are bound by the laws of physics, such as the conservation of energy, mass and charge.
Physics is applied in industries such as engineering and medicine.
Applied physics is a general term for physics research and is intended for a specific use. The applied physics curriculum usually contains a small number of classes in an applied discipline, such as geology or electrical engineering. It usually differs from engineering in that an applied physicist may not design something special, but rather use physics or conduct physics research with the goal of developing new technologies or solving a problem.
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