MATLAB FINANCIAL DERIVATIVES TOOLBOX Bedienungsanleitung PDF herunterladen (Seite 70)

example and for the case of a scalar: 0 | 1, 1 | 0, and 1 | 1 is 1

(TRUE) while 0 | 0 is 0 (FALSE).

• “~A” is a matrix whose elements are 1's where “A” has zero elements

and 0's where “A” has non-zero elements. For example and in the

case of a scalar: ~1 is (FALSE) and ~0 is 1 (TRUE).

Note that for Matlab, any number (integer or real, positive or negative)

different from 0 (zero) is a true statement, that is, it has the same meaning

as with 1. Pay also attention that the precedence with relational and logical

operators is the following (from highest to lowest):

1. Transpose “ .' ”, power “.^”, complex conjugate transpose “ ' “,

matrix power “^”;

2. Unary plus “+”, unary minus “-“, logical negation “~”;

3. Multiplication “.*”, right division “./”, left division that returns the

inverse of a division “.\”, matrix multiplication “*”, matrix right

division “/”, matrix left division “\”;

4. Addition “+”, subtraction “–”;

5. Colon operator “:”;

6. Less than “<”, less than or equal to “<=”, greater than “>”, greater

than or equal to “>=”, equal to “==”, not equal to “~=”;

7. Element-wise logical AND “&”;

8. Element-wise logical OR “|”.

View the examples that follow to digest the use or logical and relational

operators.

Matlab’s command:

>> clear all; x=2; y=0; z=-2;

>> a=(x>=1), b=(x~=1 & y), c=(1|y & x>0), d=(~y & z | ~x == 5)

Matlab’s response:

a =

b =

c =

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MATLAB FINANCIAL DERIVATIVES TOOLBOX Bedienungsanleitung Seite 70