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1 Type Package Package schoolmath February 20, 2015 Title Functions and datasets for math used in school Version 0.4 Date Author, Josef Wienand Maintainer Depends R (>= 2.10) This package contains functions and datasets for math taught in school. A main focus is set to prime-calculation License GPL (>= 2) Repository CRAN Date/Publication :35:33 NeedsCompilation no R topics documented: schoolmath-package cancel.fraction decimal2fraction gcd is.decimal is.even is.negative is.odd is.positive is.prim is.real.positive is.whole prime.factor primes primlist scm

2 2 cancel.fraction Inde 13 schoolmath-package Functions and datasets for math used in school Details This package contains functions and datasets for math taught in school. A main focus is set to prime-calculation Package: schoolmath Type: Package Version: 0.4 Date: License: GPL version 2 or newer, Josef Wienand Maintainer: <schlarmann@produnis.de> cancel.fraction cancel fractions to their simplest form This function cancels a fraction to its simplest form, using greatest common divisor cancel.fraction(numerator, denominator) numerator denominator fraction s numerator fraction s denominator

3 decimal2fraction 3 gcd ## to cancel fraction 42/56 type: cancel.fraction(42, 56) decimal2fraction convert a decimal-number into fraction This function converts a decimal number into a fraction decimal2fraction(decimal, period = 0) decimal period the decimal number to be converted, given without an repeating ending if the decimal places have an repeating ending (period), set the period here. See eamples. ## converting decimal2fraction( ) ## converting a number with decimal period, e.g decimal2fraction(12.123, 4)

4 4 is.decimal gcd Greatest common divisor of two numbers This function gives the greatest common divisor of two numbers gcd(, y) y first number second number scm gcd(42, 56) is.decimal check wether a vector contains numbers with decimal places This function checks, wether a vector contains numbers with decimal places. It returns TRUE or FALSE is.decimal() a number or vector to be checked

5 is.even 5 is.whole is.decimal(3) # this will return FALSE is.decimal(2.01) # this will return TRUE <- c(1,2,3,4,5.5, 6.03, 23.07) is.decimal() is.even check wether numbers of a vector are even This function checks wether the numbers of a vector are even. It returns TRUE/FALSE is.even() A number or vector to be checked is.odd is.even(3) is.even(2) # this will return FALSE # this will return TRUE <- c(1,2,3,4,5, 6, 7) is.even()

6 6 is.odd is.negative check wether numbers of a vector are negative This function checks wether the numbers of a vector are negative. It returns TRUE/FALSE is.negative() A number or vector to be checked is.positive is.real.positive is.negative(3) is.negative(-2) # this will return FALSE # this will return TRUE <- c(-1, -2, 3.02, 4, -5.2, 6, -7) is.negative() is.odd check wether numbers of a vector are odd This function checks wether the numbers of a vector are odd. It returns TRUE/FALSE is.odd() A number or vector to be checked

7 is.positive 7 is.even is.odd(2) is.odd(3) # this will return FALSE # this will return TRUE <- c(1,2,3,4,5, 6, 7) is.odd() is.positive check wether numbers of a vector are positive This function checks wether the numbers of a vector are positive. It returns TRUE/FALSE. is.positive() A number or vector to be checked is.negative is.real.positive is.positive(-3) is.positive(2) # this will return FALSE # this will return TRUE <- c(-1, -2, 3.02, 4, -5.2, 6, -7) is.positive()

8 8 is.real.positive is.prim check wether a vector contains prime-numbers This function checks, wether a vector contains prime-numbers. It returns TRUE or FALSE is.prim(y) y a number or vector to be checked primes is.prim(8) # this will return FALSE is.prim(11) # this will return TRUE <- c(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11) is.prim() is.real.positive check wether numbers of a vector are real positive This function checks wether the numbers of a vector are positive. It returns TRUE/FALSE. Real positive means, that zero is included as a positive number. is.real.positive()

9 is.whole 9 A number or vector to be checked is.negative is.positive is.real.positive(-3) is.real.positive(0) # this will return FALSE # this will return TRUE <- c(0, -1, -2, 3.02, 4, -5.2, 6, -7) is.real.positive() is.whole check wether a vector contains numbers with decimal places This function checks, wether a vector contains whole numbers without decimal places. It returns TRUE or FALSE is.whole() a number or vector to be checked is.decimal

10 10 primes is.whole(3.12) is.whole(2) # this will return FALSE # this will return TRUE <- c(1, 2, 3, 4, 5.5, 6.03, 23.07) is.whole() prime.factor giving prime-factors of a number This function calculates the prime-factors of a number prime.factor(n) n the number to be checked prime.factor(21) prime.factor(100) primes generate prime-numbers This function generates prime-numbers, which can be found between a start- and an end-number. primes(start = 12, end = 9999)

11 primlist 11 start end start-number end-number is.prim primes(12,150) # list prime-numbers between 12 and 150 primlist prime-numbers between 1 and This is a list of prime-numbers between 1 and data(primlist) Format a vector containing a list of prime-numbers between 1 and scm calculating the smallest common multiple of two numbers This function calculates the smallest common multiple (least common multiple) of two numbers scm(, y)

12 12 scm y first number second number gcd scm(3528, 3780)

13 Inde Topic datasets primlist, 11 Topic logic is.decimal, 4 is.even, 5 is.negative, 6 is.odd, 6 is.positive, 7 is.prim, 8 is.real.positive, 8 is.whole, 9 Topic math cancel.fraction, 2 decimal2fraction, 3 gcd, 4 prime.factor, 10 primes, 10 scm, 11 Topic package schoolmath-package, 2 schoolmath-package, 2 scm, 4, 11 cancel.fraction, 2 decimal2fraction, 3 gcd, 3, 4, 12 is.decimal, 4, 9 is.even, 5, 7 is.negative, 6, 7, 9 is.odd, 5, 6 is.positive, 6, 7, 9 is.prim, 8, 11 is.real.positive, 6, 7, 8 is.whole, 5, 9 prime.factor, 10 primes, 8, 10 primlist, 11 schoolmath (schoolmath-package), 2 13

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