Examples of programming language in the following topics:
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- In certain contexts such as higher education, scientific calculators have been superseded by graphing calculators , which offer a superset of scientific calculator functionality along with the ability to graph input data and write and store programs for the device.
- In addition, by using programming languages such as Fortran, C, C++, Java, etc., complicated, multi-step numerical calculations can be performed on a PC.
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- Graphics can be created by hand, using computer programs, and with graphing calculators.
- Both open source computer and proprietary programs can be used for this purpose.
- For example, GraphCalc (see ) is an open source computer program that runs in Microsoft Windows and Linux that provides the functionality of a graphing calculator.
- Mathematica is an example of proprietary computational software program used in scientific, engineering, and mathematical fields and other areas of technical computing.
- Most popular graphing calculators are also programmable, allowing the user to create customized programs, typically for scientific/engineering and education applications.
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- Tables of known integrals or computer programs are commonly used for integration.
- These programs know how to perform almost any integral that can be done analytically or in terms of standard mathematical functions.
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- Many design problems can also be expressed as optimization programs.
- Increasingly, operations research uses stochastic programming to model dynamic decisions that adapt to events; such problems can be solved with large-scale optimization and stochastic optimization methods.
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- Thus, to solve the tangent line problem, we need to find the slope of a line that is "touching" a given curve at a given point, or, in modern language, that has the same slope.
- In more precise language, the dependence of $y$ upon x means that $y$ is a function of $x$.
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- In more precise language, the dependence of $y$ upon $x$ means that $y$ is a function of $x$.
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- A mathematical model is a description of a system using mathematical concepts and language.