looking at graphs through infinitesimal microscopes
... still strong enough to handle the calculus of analytic functions. Its advantage is that everything is done with straightforward algebra which has a geometric interpretation. The algebra gives a simple set-theoretic description of a function which describes the intuitive notion of looking through a ...
... still strong enough to handle the calculus of analytic functions. Its advantage is that everything is done with straightforward algebra which has a geometric interpretation. The algebra gives a simple set-theoretic description of a function which describes the intuitive notion of looking through a ...
Arithmetics on number systems with irrational bases
... k=−N xk β is called the β-fractional part of x. If N ≤ 0 we set fp(x) = 0, for N > 0 we define fp(x) = N, i.e. fp(x) is the number of fractional digits in the β-expansion of x. Note that x is in Zβ if and only if fp(x) = 0. If β ∈ Z, β > 1, then Fin(β) is closed under the operations of addition, sub ...
... k=−N xk β is called the β-fractional part of x. If N ≤ 0 we set fp(x) = 0, for N > 0 we define fp(x) = N, i.e. fp(x) is the number of fractional digits in the β-expansion of x. Note that x is in Zβ if and only if fp(x) = 0. If β ∈ Z, β > 1, then Fin(β) is closed under the operations of addition, sub ...
22(1)
... Requests for reprint permission should be directed to the editor. However, general permission is granted to members of The Fibonacci Association for noncommercial reproduction of a limited quantity of individual articles (in whole or in part) provided complete references is made to the source. Annua ...
... Requests for reprint permission should be directed to the editor. However, general permission is granted to members of The Fibonacci Association for noncommercial reproduction of a limited quantity of individual articles (in whole or in part) provided complete references is made to the source. Annua ...
Chapter 5 DECIMAL NOTATION
... The number of real Christmas tress purchased in a recent year was 32.8 million. ...
... The number of real Christmas tress purchased in a recent year was 32.8 million. ...
Bellringers
... Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 are studying French and Spanish; 2 are studying German and Spanish; and none is studying all 3 languages at the same time. How many students are not studying any of the three languages? ...
... Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 are studying French and Spanish; 2 are studying German and Spanish; and none is studying all 3 languages at the same time. How many students are not studying any of the three languages? ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.