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- https://math.libretexts.org/Courses/De_Anza_College/Calculus_IV%3A_Multivariable_Calculus/03%3A_Vector_Calculus/3.05%3A_Divergence_and_CurlDivergence and curl are two important operations on a vector field. They are important to the field of calculus for several reasons, including the use of curl and divergence to develop some higher-dim...Divergence and curl are two important operations on a vector field. They are important to the field of calculus for several reasons, including the use of curl and divergence to develop some higher-dimensional versions of the Fundamental Theorem of Calculus. In addition, curl and divergence appear in mathematical descriptions of fluid mechanics, electromagnetism, and elasticity theory, which are important concepts in physics and engineering.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Contemporary_Mathematics_(OpenStax)/05%3A__Algebra/5.01%3A__Algebraic_ExpressionsThis page focuses on algebraic expressions and equations, detailing how to translate between written and symbolic forms, and explaining operations such as addition, subtraction, multiplication, and di...This page focuses on algebraic expressions and equations, detailing how to translate between written and symbolic forms, and explaining operations such as addition, subtraction, multiplication, and division. It provides examples of expressions versus equations, demonstrates the importance of the order of operations (PEMDAS), and introduces historical context about the symbols used in algebra. Exercises are given for practice, both in translating expressions and performing algebraic operations.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Contemporary_Mathematics_(OpenStax)/04%3A__Number_Representation_and_Calculation/4.04%3A_Multiplication_and_Division_in_Base_SystemsThis page discusses arithmetic operations, specifically multiplication and division, in numerical bases other than base 10. It covers the process of creating multiplication tables for various bases li...This page discusses arithmetic operations, specifically multiplication and division, in numerical bases other than base 10. It covers the process of creating multiplication tables for various bases like base 6, 7, and 12, using repeated addition according to the specific base rules. It also tackles division in non-decimal bases and identifies common errors such as using incorrect symbols or applying base 10 rules to other bases.
