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Additional resources for Abdus Salam - Weak and Electromagnetic Interactions. Published in Elementary Particle Theory: Proceedings of the 8th Nobel Symposium

Example text

The basic ideas involved are reviewed here. A. Terms, Coefficients, and Algebraic Expressions An algebraic term is a collection of factors that may include numbers, variables, or expressions within parentheses. Here are some examples: (a) 3 (b) Ϫ6P (d) Ϫ8n2 (c) 5xy (f ) 21x ϩ 32 (e) n If a term consists of a single nonvariable number, it is called a constant term. In (a), 3 is a constant term. Any term that contains a variable is called a variable term. We call the constant factor of a term the numerical coefficient or simply the coefficient.

In this section, we review basic exponential properties and operations on polynomials. Although there are five to eight exponential properties (depending on how you count them), all can be traced back to the basic definition involving repeated multiplication. n times n times The Product and Power Properties There are two properties that follow immediately from this definition. When b3 is multiplied by b2, we have an uninterrupted string of five factors: b3 # b2 ϭ 1b # b # b2 # 1b # b2, which can then be written as b5.

1x ϩ 52 14. Ϫ1n Ϫ 32 Translate each phrase into an algebraic expression. 15. seven fewer than a number 16. a number decreased by six 17. the sum of a number and four 18. a number increased by nine Create a mathematical model using descriptive variables. 29. The length of the rectangle is three meters less than twice the width. 30. The height of the triangle is six centimeters less than three times the base. 31. The speed of the car was fifteen miles per hour more than the speed of the bus. 32.

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Abdus Salam - Weak and Electromagnetic Interactions. Published in Elementary Particle Theory: Proceedings of the 8th Nobel Symposium by Nils Fridolf Valdemar Svartholm


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