def f1(x):
    return 4*x**2+2*x+5

f1(0)

5

def f2(x):
    ergebnis = 4*x**2+2*x+5
    return ergebnis

f2(1)

11

def f(x,a=1,b=0,c=0):
    return a*x**2+b*x+c

def g(x):
    return f(x,4,2,5)

g(1)

11

g(0)

5

tabelle=[]
for x in range(-6,5):
    tabelle.append((x,f1(x)))
print(tabelle)

[(-6, 137), (-5, 95), (-4, 61), (-3, 35), (-2, 17), (-1, 7), (0, 5), (1, 11), (2, 25), (3, 47), (4, 77)]

from pygal import XY
from IPython.display import SVG
xy = XY()
xy.add('y=4*x**2+2*x+5', tabelle)
SVG(xy.render())

v = [1,2,3]
w = [8,4,2]

def vektoradd(a,b):
    ergebnis = [0,0,0]
    ergebnis[0] = a[0] + b[0]
    ergebnis[1] = a[1] + b[1]
    ergebnis[2] = a[2] + b[2]
    return ergebnis

print(vektoradd(v,w))

[9, 6, 5]

def vektoradd(a,b):
    ergebnis = [0] * len(a)
    for i in range(len(a)):
        ergebnis[i] = a[i]+b[i]
    return ergebnis

print(vektoradd(v,w))

[9, 6, 5]

x = [3,1,2,2,1]
y = [1,3,2,2,3]

print(vektoradd(x,y))

[4, 4, 4, 4, 4]

def vektormult(a,b):
    ergebnis = [0] * len(a)
    for i in range(len(a)):
        ergebnis[i] = a[i]*b
    return ergebnis

print(vektormult(v,3))
print(vektormult(w,5))
print(vektormult(x,2))

[3, 6, 9]
[40, 20, 10]
[6, 2, 4, 4, 2]

v = [[3,2,1],
     [1,0,2]]

w = [[1,2],
     [0,1],
     [4,0]]

def matrixmult(a,b):
    c = [[0 for x in range(len(b[0]))] for y in range(len(a))]
    for i in range(len(a)):
        for k in range(len(b[0])):
            for j in range(len(b)):
                c[i][k] = c[i][k] + a[i][j] * b[j][k]
    return c

print(matrixmult(v,w))

[[7, 8], [9, 2]]

x = [[1,3,2],
     [0,2,1],
     [0,0,3]]

y = [[2,0,0],
     [5,3,0],
     [8,6,4]]

print(matrixmult(x,y))

[[33, 21, 8], [18, 12, 4], [24, 18, 12]]

def asciiChar(i):
    return "{:=03} | 0x{:03x} | {:6}\n".format(i,i,repr(chr(i)))

print(asciiChar(13))

013 | 0x00d | '\r'

def asciiListe():
    s = ""
    for i in range(127):
        s += asciiChar(i)
    return s

print(asciiListe())

000 | 0x000 | '\x00'
001 | 0x001 | '\x01'
002 | 0x002 | '\x02'
003 | 0x003 | '\x03'
004 | 0x004 | '\x04'
005 | 0x005 | '\x05'
006 | 0x006 | '\x06'
007 | 0x007 | '\x07'
008 | 0x008 | '\x08'
009 | 0x009 | '\t'  
010 | 0x00a | '\n'  
011 | 0x00b | '\x0b'
012 | 0x00c | '\x0c'
013 | 0x00d | '\r'  
014 | 0x00e | '\x0e'
015 | 0x00f | '\x0f'
016 | 0x010 | '\x10'
017 | 0x011 | '\x11'
018 | 0x012 | '\x12'
019 | 0x013 | '\x13'
020 | 0x014 | '\x14'
021 | 0x015 | '\x15'
022 | 0x016 | '\x16'
023 | 0x017 | '\x17'
024 | 0x018 | '\x18'
025 | 0x019 | '\x19'
026 | 0x01a | '\x1a'
027 | 0x01b | '\x1b'
028 | 0x01c | '\x1c'
029 | 0x01d | '\x1d'
030 | 0x01e | '\x1e'
031 | 0x01f | '\x1f'
032 | 0x020 | ' '   
033 | 0x021 | '!'   
034 | 0x022 | '"'   
035 | 0x023 | '#'   
036 | 0x024 | '$'   
037 | 0x025 | '%'   
038 | 0x026 | '&'   
039 | 0x027 | "'"   
040 | 0x028 | '('   
041 | 0x029 | ')'   
042 | 0x02a | '*'   
043 | 0x02b | '+'   
044 | 0x02c | ','   
045 | 0x02d | '-'   
046 | 0x02e | '.'   
047 | 0x02f | '/'   
048 | 0x030 | '0'   
049 | 0x031 | '1'   
050 | 0x032 | '2'   
051 | 0x033 | '3'   
052 | 0x034 | '4'   
053 | 0x035 | '5'   
054 | 0x036 | '6'   
055 | 0x037 | '7'   
056 | 0x038 | '8'   
057 | 0x039 | '9'   
058 | 0x03a | ':'   
059 | 0x03b | ';'   
060 | 0x03c | '<'   
061 | 0x03d | '='   
062 | 0x03e | '>'   
063 | 0x03f | '?'   
064 | 0x040 | '@'   
065 | 0x041 | 'A'   
066 | 0x042 | 'B'   
067 | 0x043 | 'C'   
068 | 0x044 | 'D'   
069 | 0x045 | 'E'   
070 | 0x046 | 'F'   
071 | 0x047 | 'G'   
072 | 0x048 | 'H'   
073 | 0x049 | 'I'   
074 | 0x04a | 'J'   
075 | 0x04b | 'K'   
076 | 0x04c | 'L'   
077 | 0x04d | 'M'   
078 | 0x04e | 'N'   
079 | 0x04f | 'O'   
080 | 0x050 | 'P'   
081 | 0x051 | 'Q'   
082 | 0x052 | 'R'   
083 | 0x053 | 'S'   
084 | 0x054 | 'T'   
085 | 0x055 | 'U'   
086 | 0x056 | 'V'   
087 | 0x057 | 'W'   
088 | 0x058 | 'X'   
089 | 0x059 | 'Y'   
090 | 0x05a | 'Z'   
091 | 0x05b | '['   
092 | 0x05c | '\\'  
093 | 0x05d | ']'   
094 | 0x05e | '^'   
095 | 0x05f | '_'   
096 | 0x060 | '`'   
097 | 0x061 | 'a'   
098 | 0x062 | 'b'   
099 | 0x063 | 'c'   
100 | 0x064 | 'd'   
101 | 0x065 | 'e'   
102 | 0x066 | 'f'   
103 | 0x067 | 'g'   
104 | 0x068 | 'h'   
105 | 0x069 | 'i'   
106 | 0x06a | 'j'   
107 | 0x06b | 'k'   
108 | 0x06c | 'l'   
109 | 0x06d | 'm'   
110 | 0x06e | 'n'   
111 | 0x06f | 'o'   
112 | 0x070 | 'p'   
113 | 0x071 | 'q'   
114 | 0x072 | 'r'   
115 | 0x073 | 's'   
116 | 0x074 | 't'   
117 | 0x075 | 'u'   
118 | 0x076 | 'v'   
119 | 0x077 | 'w'   
120 | 0x078 | 'x'   
121 | 0x079 | 'y'   
122 | 0x07a | 'z'   
123 | 0x07b | '{'   
124 | 0x07c | '|'   
125 | 0x07d | '}'   
126 | 0x07e | '~'

NBA_03_Funktionen¶

mathematische Funktionen¶

Vektorrechnung¶

Matrizenmultiplikation¶

Textverarbeitung¶

Generelle Verwendung von Funktionen¶