Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
CALCULATION OF FUNCTIONS Using hand calculations, a hand calculator, or a com-
 

Summary: CALCULATION OF FUNCTIONS
Using hand calculations, a hand calculator, or a com-
puter, what are the basic operations of which we are
capable? In essence, they are addition, subtraction,
multiplication, and division (and even this will usually
require a truncation of the quotient at some point).
In addition, we can make logical decisions, such as
deciding which of the following are true for two real
numbers a and b:
a > b, a = b, a < b
Furthermore, we can carry out only a finite number
of such operations. If we limit ourselves to just addi-
tion, subtraction, and multiplication, then in evaluat-
ing functions f(x) we are limited to the evaluation of
polynomials:
p(x) = a0 + a1x + anxn
In this, n is the degree (provided an 6= 0) and {a0, ..., an}
are the coefficients of the polynomial. Later we will
discuss the efficient evaluation of polynomials; but for
now, we ask how we are to evaluate other functions

  

Source: Atkinson, Kendall - Departments of Computer Science & Mathematics, University of Iowa

 

Collections: Computer Technologies and Information Sciences