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Scientific Computing CS 412 الحوسبة العلمیة عال 412

Scientific Computing CS 412 الحوسبة العلمیة عال 412. Lecture 4: Numbers and sets By I.Safa Alawneh. Numbers and sets. The set of natural numbers, denoted N, is the set of non-negative whole numbers: N= { 0,1,2,3 …..}

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Scientific Computing CS 412 الحوسبة العلمیة عال 412

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  1. Scientific ComputingCS 412الحوسبة العلمیةعال 412 Lecture 4: Numbers and sets By I.SafaAlawneh

  2. Numbers and sets • The 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}

  3. Numbers and sets • An Irrational Number is a real number that cannot be written as a simple fraction. • Irrational means not Rational • Examples:

  4. Numbers and sets • Real Numbers are just numbers like: 1, 12.38 , -0.8625 ,3/4, √2, 1998

  5. Representing Numbers • In computer systems, real numbers are usually represented explicitly by floating-point numbers or symbolic or rule-based representation.

  6. Representing Numbers

  7. Representing Numbers

  8. Vectors • Many 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

  9. Representing Vectors

  10. Representing of functions (Explicit)

  11. Representing of functions (Implicit)

  12. Parametric Representing of functions

  13. Parametric Representing of functions

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