Results 251 to 260 of about 8,270,809 (301)
Some of the next articles are maybe not open access.
Concurrency: Practice and Experience, 1999
Efficient and elegant complex numbers are one of the preconditions for the use of Java in scientific computing. This paper introduces a preprocessor and its translation rules that map a new basic type complex and its operations to pure Java. For the mapping is insufficient to just replace one complex-variable with two double-variables.
Michael Philippsen, Edwin Günthner
openaire +3 more sources
Efficient and elegant complex numbers are one of the preconditions for the use of Java in scientific computing. This paper introduces a preprocessor and its translation rules that map a new basic type complex and its operations to pure Java. For the mapping is insufficient to just replace one complex-variable with two double-variables.
Michael Philippsen, Edwin Günthner
openaire +3 more sources
Complex Modular Numbers: Complex Numbers Need not be Complex
The Mathematics Teacher, 1976Most students are faced with the task of solving the equation x2 + 1 = 0 over the real numbers at some time in their algebra classes. After they substitute values for x unsuccessfully, they usually attempt to solve the equivalent equation x2 = -1. They soon realize that it is impossible to square a real number and obtain a negative number.
Susan J. Grant, Ward R. Stewart
openaire +1 more source
An Approach to Complex Numbers
The Mathematical Gazette, 1970The debate about how best to introduce complex numbers is no doubt perennial. (See for instance [1] for a brief survey of some of the possibilities.) One flaw which many presentations have is that they appear somewhat arbitrary. For example one can define complex numbers as polynomial residues to the modulus
openaire +2 more sources
On the Multiplication of Complex Numbers
The Mathematical Gazette, 1949In the development of the theory of complex numbers, it is important to give a definition of them dependent only upon real numbers. In the usual algebraic treatments the product is postulated in the form or obtained from a matrix representation.
openaire +2 more sources
Stirling Numbers for Complex Arguments
SIAM Journal on Discrete Mathematics, 1997We define the Stirling numbers for complex values and obtain extensions of certain identities involving these numbers. We also show that the generalization is a natural one for proving unimodality and monotonicity results for these numbers. The definition is based on the Cauchy integral formula and can be used for many other combinatorial numbers.
B. RICHMOND, MERLINI, DONATELLA
openaire +3 more sources
Representation for Complex Numbers
IBM Journal of Research and Development, 1978This communication suggests the feasibility of a single-component scheme for representing complex numbers with real bases. Several advantages are pointed out, including the very simple extraction of the real and imaginary parts of a complex number.
openaire +2 more sources
2016
We introduced complex numbers in Sect. 1.8 of the first volume. There we just defined the numbers themselves, but did not go any further. In fact, since the introduction of complex numbers a number of centuries ago, the theory based on them has been substantially developed into an extended analysis of complex functions defined on the complex plane. The
openaire +1 more source
We introduced complex numbers in Sect. 1.8 of the first volume. There we just defined the numbers themselves, but did not go any further. In fact, since the introduction of complex numbers a number of centuries ago, the theory based on them has been substantially developed into an extended analysis of complex functions defined on the complex plane. The
openaire +1 more source
1970
The solution of a quadratic equation ax2 + bx + c = 0 can, of course, be obtained by the formula.
openaire +1 more source
The solution of a quadratic equation ax2 + bx + c = 0 can, of course, be obtained by the formula.
openaire +1 more source
1970
In Part 1 of this programme on Complex Numbers, we discovered how to manipulate them in adding, subtracting, multiplying and dividing. We also finished Part 1 by seeing that a complex number a + jb can also be expressed in Polar Form, which is always of the form r(cos θ + j sin θ).
openaire +1 more source
In Part 1 of this programme on Complex Numbers, we discovered how to manipulate them in adding, subtracting, multiplying and dividing. We also finished Part 1 by seeing that a complex number a + jb can also be expressed in Polar Form, which is always of the form r(cos θ + j sin θ).
openaire +1 more source