Scientific Computing CS 412 الحوسبة العلمیة عال 412
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Transcript of Scientific Computing CS 412 الحوسبة العلمیة عال 412
Scientific ComputingCS 412
العلمیة الحوسبة412عال
Lecture 4: Numbers and setsBy
I.Safa Alawneh
Numbers and setsThe set of natural numbers, denoted
N, is the set of non-negative whole numbers:
N= { 0,1,2,3 …..} The set of integers, Z, contains the
signed whole numbers including zero: Z= { …..,-2,-1,0,1,2, ……}
The set of rationals, Q, also include numbers with fractions:
Q = { p/q: p, q€ Z ,q≠ 0}
Numbers and setsAn Irrational Number is a real number
that cannot be written as a simple fraction.
Irrational means not Rational
Examples:
Real Numbers are just numbers like: 1, 12.38 , -0.8625 ,3/4, √2, 1998
Numbers and sets
Representing NumbersIn computer systems, real numbers are
usually represented explicitly by floating-point numbers or symbolic or rule-based representation.
Representing Numbers
Representing Numbers
VectorsMany quantities can be measured or
reported using a single number: time, distance…
These are called Scalar quantities.There are many phenomena that
cannot use single scalar: a position in space
Representing Vectors
Representing of functions (Explicit)
Representing of functions (Implicit)
Parametric Representing of functions
Parametric Representing of functions