Year - New Paltz Central School District
... 9) A home repair store sells leaf blowers and cordless drills. The store makes a profit of $50 on the sale of each leaf blower (b ) and a $85 profit on the sale of each cordless drill (c ). The store believes it will make a profit of at most $405 per day on the sale of these items, since they assume ...
... 9) A home repair store sells leaf blowers and cordless drills. The store makes a profit of $50 on the sale of each leaf blower (b ) and a $85 profit on the sale of each cordless drill (c ). The store believes it will make a profit of at most $405 per day on the sale of these items, since they assume ...
Lesson 1
... All of the mathematical statements in this lesson are equations. Recall that an equation is a statement of equality between two expressions. Developing equations from written statements forms an important basis for problem solving and is one of the most vital parts of algebra. Throughout this module ...
... All of the mathematical statements in this lesson are equations. Recall that an equation is a statement of equality between two expressions. Developing equations from written statements forms an important basis for problem solving and is one of the most vital parts of algebra. Throughout this module ...
LECTURE 12: HOPF ALGEBRA (sl ) Introduction
... Here [2]q denotes the “quantum 2”, i.e., q + q −1 . The similar definition will work for any simply laced Cartan matrix A (meaning that aij ∈ {0, −1} if i ̸= j). When A is not simply laced (e.g., of type Bn , Cn , F4 , G2 ), the definition is more technical, one needs to use different q’s for the “sl ...
... Here [2]q denotes the “quantum 2”, i.e., q + q −1 . The similar definition will work for any simply laced Cartan matrix A (meaning that aij ∈ {0, −1} if i ̸= j). When A is not simply laced (e.g., of type Bn , Cn , F4 , G2 ), the definition is more technical, one needs to use different q’s for the “sl ...
Continued Fractions and Diophantine Equations
... important topic in classical number theory: continued fractions and rational approximation. We begin by analyzing a few simple Diophantine equations, then discuss the ideas behind rational approximation and develop the theory of continued fractions. Finally, we apply these results, and others, to so ...
... important topic in classical number theory: continued fractions and rational approximation. We begin by analyzing a few simple Diophantine equations, then discuss the ideas behind rational approximation and develop the theory of continued fractions. Finally, we apply these results, and others, to so ...
