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Mathematics 1 / Matematik 1

Mathematics 1 / Matematik 1. Lesson 4 – discrete series and their solutions Lektion4 – diskreta serier och deras lösningar. Algebraic series. A series in which the next element is formed through addition Example:3,7,13,. En serie var nästa elementet bildas genom addition

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Mathematics 1 / Matematik 1

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  1. Mathematics 1 /Matematik 1 Lesson 4 – discrete series and their solutions Lektion4 – diskreta serier och deras lösningar

  2. Algebraic series • A series in which the next element is formedthrough addition • Example:3,7,13,.... • En serie var nästa elementet bildas genom addition • Exempel:3,7,13,....

  3. Geometric series • A series where the next element is formed by multiplication • Example: intrest on an investment • En serie var nästa elementet bildas genom multiplication • Exempel: ränta på en investition

  4. Pseudorandomnoise • A series ofrandomnumberthat is finite in length (deterministic) and therefore not randombutpseudorandom. It is usedtosimulate the effekt ofwhitenoise on a system • Modular division ”%” delivers the rest of a integer division ex: 13%4=1 because 12/4=3 and there is a rest 1 • En serie av slumptal som är ändlig i sin längd (deterministiskt) och därför inte slumpmässigt utan pseudoslumpmässig. Detta används för att simulerar vit brus på ett system. • Modular division ”%” ger resten av en heltalsdivision ex: 13%4=1 för att 12/4=3 med resten 1

  5. Pseudorandomnoise (cont.) • is maximum numberofnumbersbeforerollover • arenumbers (primes or at leastodd and large) • start value

  6. Low pass filter (timedependent) • When measurement data is collected it mostlycontainsnoisethatcan and should be filtered away. A low pass filter can be madetoremovehigherfrequency signals from the information • is filter property • När mätdata samlas innehåller den ofta brus som kan och borde filtereras bort. En låg passfilter kan konstrueras så att den tar bort högfrekventa signaler från informationen • är filteregenskapen

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