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Which is the term for concepts in a study such as the average age of a person upon acquiring his or her first job and the average salary he or she was paid for that job?
variables
What types of math is used on an electrical engineer's job how are they used and why are they used?
Math is a way of modeling circuits. Once you have a mathematical model of a circuit, you can start to vary the math which is much easier than building the circuit and varying the hardware. Today, computers do much of the math.
Why is mathematics categorized into pure and applied?
Applied mathematics focuses on the application of mathematical principles to real world problems, and even some abstract problems. Engineering, theoretical physics, and computer science all make use of applied mathematics, and frequently firms of these types will employ mathematicians to supplement their group of employees. I.e. some video game developers employ mathematicians for complex physics modeling equations. Some physicists seek the help of mathematicians to provide rigorous proofs and other mathematical support for abstract concepts. Pure math is the study of math, with the goal being the improvement of the foundations or concepts of math. Pure math is the study of the underlying mechanisms that cause mathematical techniques to work, the improvement and justification of these techniques and development of new techniques all fall under pure math. I.e. developing a substitute for traditional trigonometry would be pure math(chose that example because someone recently did that). They also analyze abstract math problems and see what concepts could apply to them or why they work. The *are separated for the same reason physics and engineering are separated. It would be less efficient to focus on both the development of mathematical concepts and ways to apply these concepts to the real world. Too much workload for most students. In the same vein a physicist doesn't have time to learn all the technology and applications of physics to eliminate the job of an engineer, even though the physicist probably has a better understanding of the physics that the engineer would use on a daily basis. I'm sure there are places to improve this answer. Please feel free.
Is plum an adjective?
It can be used as an adjective: a plum job
What is the difference between a concept and a variable and How does a researcher transform one into the other?
A concept is an idea or an abstraction that stands for something. A concept becomes a variable when it is made operational or when it can be counted, categorized, or observed. For example, job satisfaction is a concept, but, it becomes a variable when a definition is it attached to it that makes it measurable. You may ask a married person, "how satisfied are you with your job?" If you attach levels of satisfaction to it, then it becomes a variable. All variables are concepts when you can measure the concept. However, not all concepts can be variables. A concept that is not a variable is a concept that is not measurable.
