Code: Alles auswählen
import numpy as np
from scipy.linalg import logm, expm
a = np.array([[1.0, 3.0], [1.0, 4.0]])
print("Array a :" ,a )
print()
a= logm(a)
print(" Logarithmus von lArray a ",a)
print()
c=expm(a)
print("c = delogarithmieren :", c)
#############################
print()
b = logm(a)
print("Logarithmus von b :", b)
Code: Alles auswählen
import numpy as np
from numpy import *
import matplotlib.pyplot as plt
in_array = [[0. , 0.69314718, 1.09861229, 0.69314718, 1.09861229 ,1.38629436,
1.60943791, 1.79175947, 1.94591015 ,2.07944154 ,2.19722458 ,2.30258509,
2.39789527, 2.48490665, 2.56494936 ,2.63905733],
[2.83321334, 2.89037176 ,2.94443898 ,2.99573227 , 3.04452244 ,3.09104245,
3.13549422 ,3.17805383 ,3.21887582 ,3.25809654 ,3.29583687 ,3.33220451,
3.36729583 ,3.40119738 ,3.4339872 , 3.4657359 ],
[3.49650756, 3.52636052 ,3.55534806,3.58351894, 3.61091791 ,3.63758616,
3.66356165, 3.68887945 ,3.71357207, 3.73766962, 3.76120012 ,3.78418963,
3.80666249, 3.8286414 ,3.8501476 , 3.87120101],
[3.8918203 , 3.91202301 ,3.93182563 ,3.95124372, 3.97029191, 3.98898405,
4.00733319, 4.02535169, 4.04305127 ,4.06044301 ,4.07753744 ,4.09434456,
4.11087386 ,4.12713439 ,4.14313473, 4.15888308],
[4.17438727 ,4.18965474, 4.20469262, 4.21950771, 4.2341065 , 4.24849524,
4.26267988, 4.27666612 ,4.29045944 ,4.30406509 ,4.31748811, 4.33073334,
4.34380542 ,4.35670883, 4.36944785, 4.38202663],
[4.39444915 ,4.40671925, 4.41884061, 4.4308168 , 4.44265126 ,4.4543473,
4.46590812, 4.47733681, 4.48863637 ,4.49980967 ,4.51085951, 4.52178858,
4.53259949, 4.54329478 ,4.55387689, 4.56434819]]
# Figure und Axes erstellen
leinwand ,diagramm = plt.subplots()
diagramm.imshow(in_array)
plt.show()
Code: Alles auswählen
import math
from math import log10 , log
Ergebnis =0
#gewählte Wurzel
def W10(Rad,Wp):
mantisse =(1/Wp)*log10(Rad)
Ergebnis =round(10** mantisse,4)
print(Ergebnis)
W10(64 ,2)
###################
import math
from math import log, e
Ergebnis =0.
def Wnat(R ,W ):
mantisse = (1/W)*log(R)
Ergebnis =2.7183** mantisse
print(Ergebnis)
Wnat(100 , 3 )
############################
Code: Alles auswählen
Exponentialgleichungen und Logarithmen
print(" Basis ** Exponent = Ergebnis | z.B. 2**3 =8 ")
print(" Basis ** x = Ergebnis |Exponentialgleichung ")
import numpy as np
from numpy import log # log.nat
#Aufgabe : 3 **x = 2187
#log(3**x)=log(2187)
#x * log(3) =log(2187)
#print(log(3)) 1.0986122886681098
#print(log(2187) ) 7.690286020676768
print(log(2187)/(log(3)))
x =(log(2187)/(log(3)))
print("Ergebnis (mantisse) ", x)
print("Test :",3**7)
print()
############################################
# Exponentialgleichungen und Logarithmen
print(" Basis ** Exponent = Ergebnis | z.B. 2**3 =8 ")
print(" Basis ** x = Ergebnis |Exponentialgleichung ")
#Aufgabe : 4 **x = 21
import numpy as np
from numpy import log10
print(log10(4))
print(log10(21))
x= log10(21)/ log10(4)
print(x)
print("Ergebnis ((mantisse) ", x)
print("Test :",4**2.1961587113893803)
Code: Alles auswählen
######################################
import numpy as np
from numpy import *
def EXPO(ergebnis,basis):
mantisse = log(ergebnis) / log(basis)
print(mantisse )
EXPO(2187,3)
EXPO(100,3)
EXPO(2.5,0.5 )
EXPO((20),e)
#######################################
Code: Alles auswählen
#######################################
import numpy as np
from numpy import log10
def EXPO(ergebnis,basis):
#
#######################################
mantisse = log10(ergebnis) / log10(basis)
print(mantisse )
EXPO(2.718544 ,e)
Code: Alles auswählen
import numpy as np
from numpy import log10
def EXPO(ergebnis,basis):
# Aufgabe : 3**2*x = 4 * 5**x
# Umrechnung:
# #3**2*x =5**x*4
# (3**2)**x = 4*5**x
# 9**x / 5**x =4
# 1.8**x =4
#x*log(1,8) = log(4)
#x=log(4)/log(1.8)
#######################################
mantisse = log10(ergebnis) / log10(basis)
print(mantisse )
EXPO(4,1.8)
Code: Alles auswählen
# importing Tkinter and math
import math
from math import *
import numpy as np
import tkinter
from tkinter import *
class calc:
def getandreplace(self):
self.expression = self.e.get()
self.newtext=self.expression.replace('/','/')
self.newtext=self.newtext.replace('x','*')
def equals(self):
"""when the equal button is pressed"""
self.getandreplace()
try:
# evaluate the expression using the eval function
self.value= eval(self.newtext)
except SyntaxError or NameError:
self.e.delete(0,END)
self.e.insert(0,'Eingabe falsch')
else:
self.e.delete(0,END)
self.e.insert(0,self.value)
def squareroot(self):
"""squareroot method"""
self.getandreplace()
try:
# evaluate the expression using the eval function
self.value= eval(self.newtext)
except SyntaxError or NameError:
self.e.delete(0,END)
self.e.insert(0,'Invalid Input!')
else:
self.sqrtval=math.sqrt(self.value)
self.e.delete(0,END)
self.e.insert(0,self.sqrtval)
def square(self):
"""square method"""
self.getandreplace()
try:
#evaluate the expression using the eval function
self.value= eval(self.newtext)
except SyntaxError or NameError:
self.e.delete(0,END)
self.e.insert(0,'Falsche Eingabe')
else:
self.sqval=math.pow(self.value,2)
self.e.delete(0,END)
self.e.insert(0,self.sqval)
def clearall(self):
"""when clear button is pressed,clears the text input area"""
self.e.delete(0,END)
def clear1(self):
self.txt=self.e.get()[:-1]
self.e.delete(0,END)
self.e.insert(0,self.txt)
def action(self,arge):
"""pressed button's value is inserted into the end of the text area"""
self.e.insert(END,arge)
def __init__(self,master):
"""Constructor method"""
master.title(" M A T H E A S S ")
self.e = Entry(master)
self.e.grid(row=0,column=0,columnspan=6,pady=6)
self.e.focus_set() #Sets focus on the input text area
# Generating Buttons
Button(master,text="=",width=15,height=5 ,fg="white",
bg="blue",command=lambda:self.equals()).grid(
row=4, column=4,columnspan=2)
Button(master,text='CLEARALL',width=7,height=5,
fg="red", bg="light blue", ###########
command=lambda:self.clearall()).grid(row=1, column=4)
Button(master,text='Clear',width=7,height=5,
fg="white",bg="green", ############ light green
command=lambda:self.clear1()).grid(row=1, column=5)
Button(master,text="+",width=7,height=5,
fg="white",bg="green",
command=lambda:self.action('+')).grid(row=4, column=3)
Button(master,text="X",width=7,height=5,
fg="blue",bg="orange",
command=lambda:self.action('x')).grid(row=2, column=3)
Button(master,text="minus",width=7,height=5,
fg="red",bg="light green",
command=lambda:self.action('-')).grid(row=3, column=3)
Button(master,text="Divide",width=7,height=5,
fg="blue",bg="orange",
command=lambda:self.action('/')).grid(row=1, column=3)
Button(master,text="%",width=7,height=5,
fg="red",bg="light green",
command=lambda:self.action('%')).grid(row=4, column=2)
Button(master,text="7",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action('7')).grid(row=1, column=0)
Button(master,text="8",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(8)).grid(row=1, column=1)
Button(master,text="9",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(9)).grid(row=1, column=2)
Button(master,text="4",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(4)).grid(row=2, column=0)
Button(master,text="5",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(5)).grid(row=2, column=1)
Button(master,text="6",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(6)).grid(row=2, column=2)
Button(master,text="1",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(1)).grid(row=3, column=0)
Button(master,text="2",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(2)).grid(row=3, column=1)
Button(master,text="3",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(3)).grid(row=3, column=2)
Button(master,text="0",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action(0)).grid(row=4, column=0)
Button(master,text="Point",width=7,height=5,
fg="black",bg="white",
command=lambda:self.action('.')).grid(row=4, column=1)
Button(master,text="(",width=7,height=5,
fg="blue",bg="orange",
command=lambda:self.action('(')).grid(row=2, column=4)
Button(master,text=")",width=7,height=5,
fg="blue",bg="orange",
command=lambda:self.action(')')).grid(row=2, column=5)
Button(master,text="1/**",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.squareroot()).grid(row=3, column=4)
Button(master,text="**",width=7,height=5,
fg="white",bg="black",
command=lambda:self.square()).grid(row=3, column=5)
Button(master,text="log10",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action("log10")).grid(row=1, column=6)
Button(master,text="log.nat",width=7,height=5,
fg="white",bg="blue",
command=lambda:self.action("log")).grid(row=2, column=6)
root=Tk()
obj=calc(root)
root.mainloop()
Code: Alles auswählen
original_string =''' -2.30258509 -1.60943791 -1.2039728 -0.91629073 -0.69314718 -0.5108256
-0.35667494 -0.22314355 -0.10536052 0.0.09531018 0.18232156
0.26236426 0.33647224 0.40546511 0.47000363 0.53062825 0.58778666
0.64185389 0.69314718 0.74193734 0.78845736 0.83290912 0.87546874
0.91629073 0.95551145 0.99325177 1.02961942 1.06471074 1.09861229
1.13140211 1.16315081 1.19392247 1.22377543 1.25276297 1.28093385
1.30833282 1.33500107 1.36097655 1.38629436 1.41098697 1.43508453
1.45861502 1.48160454 1.5040774 1.5260563 1.54756251 1.56861592
1.58923521 1.60943791 1.62924054 1.64865863 1.66770682 1.68639895
1.70474809 1.7227666 1.74046617 1.75785792 1.77495235 1.79175947
1.80828877 1.82454929 1.84054963 1.85629799 1.87180218 1.88706965
1.90210753 1.91692261 1.93152141 1.94591015 1.96009478 1.97408103
1.98787435 2.00148456 2.01490302 2.02814825 2.04122033 2.05412373
2.06686276 2.07944154 2.09186406 2.10413415 2.11625551 2.12823171
2.14006616 2.1517622 2.16332303 2.17475172 2.18605128 2.19722458
2.20827441 2.21920348 2.2300144 2.24070969 2.2512918 2.2617631
2.27212589 2.28238239 2.29253476 2.30258509 2.31253542 2.32238772
2.3321439 2.34180581 2.35137526 2.360854 2.37024374 2.37954613
2.38876279 2.39789527 2.40694511 2.41591378 2.42480273 2.43361336
2.44234704 2.4510051 2.45958884 2.46809953 2.4765384 2.48490665
2.49320545 2.50143595 2.50959926 2.51769647 2.52572864 2.53369681
2.54160199 2.54944517 2.55722731 2.56494936 2.57261223 2.58021683
2.58776404 2.59525471 2.60268969 2.61006979 2.61739583 2.62466859
2.63188884 2.63905733 2.6461748 2.65324196 2.66025954 2.66722821
2.67414865 2.68102153 2.68784749 2.69462718 2.70136121 2.7080502
2.71469474 2.72129543 2.72785283 2.73436751 2.74084002 2.74727091
2.75366071 2.76000994 2.76631911 2.77258872 2.77881927 2.78501124
2.79116511 2.79728133 2.80336038 2.8094027 2.81540872 2.82137889
2.82731362 2.83321334 2.83907846 2.84490938 2.8507065 2.85647021
2.86220088 2.8678989 2.87356464 2.87919846 2.88480071 2.89037176
2.89591194 2.90142159 2.90690106 2.91235066 2.91777073 2.92316158
2.92852352 2.93385687 2.93916192 2.94443898 2.94968834 2.95491028
2.9601051 2.96527307 2.97041447 2.97552957 2.98061864 2.98568194
2.99071973 2.99573227 3.00071982 3.0056826 3.01062089 3.0155349
3.02042489 3.02529108 3.0301337 3.03495299 3.03974916 3.04452244
3.04927304 3.05400118 3.05870707 3.06339092 3.06805294 3.07269331
3.07731226 3.08190997 3.08648664 3.09104245 3.09557761 3.10009229
3.10458668 3.10906096 3.11351531 3.11794991 3.12236492 3.12676054
3.13113691 3.13549422 3.13983262 3.14415228 3.14845336 3.15273602
3.15700042 3.16124671 3.16547505 3.16968558 3.17387846 3.17805383
3.18221184 3.18635263 3.19047635 3.19458313 3.19867312 3.20274644
3.20680324 3.21084365 3.2148678 3.21887582 3.22286785 3.22684399
3.2308044 3.23474917 3.23867845 3.24259235 3.24649099 3.25037449
3.25424297 3.25809654 3.26193531 3.26575941 3.26956894 3.27336401
3.27714473 3.28091122 3.28466357 3.28840189 3.29212629 3.29583687
3.29953373 3.30321697 3.3068867 3.31054301 3.314186 3.31781577
3.32143241 3.32503602 3.32862669 3.33220451 3.33576958 3.33932198
3.3428618 3.34638915 3.34990409 3.35340672 3.35689712 3.36037539
3.3638416 3.36729583 3.37073817 3.37416871 3.37758752 3.38099467
3.38439026 3.38777436 3.39114705 3.39450839 3.39785848 3.40119738
3.40452517 3.40784192 3.41114771 3.41444261 3.41772668 3.42100001
3.42426265 3.42751469 3.43075618 3.4339872 3.43720782 3.44041809
3.4436181 3.44680789 3.44998755 3.45315712 3.45631668 3.45946629
3.46260601 3.4657359 3.46885603 3.47196645 3.47506723 3.47815842
3.48124009 3.48431229 3.48737508 3.49042852 3.49347266 3.49650756
3.49953328 3.50254988 3.5055574 3.5085559 3.51154544 3.51452607
3.51749784 3.5204608 3.52341501 3.52636052 3.52929738 3.53222564
3.53514535 3.53805656 3.54095932 3.54385368 3.54673969 3.54961739
30271283 4.30406509 4.30541553 4.30676415 4.30811095 4.30945594
.48751214 4.48863637 4.48975933 4.49088104 4.49200149 4.49312068
.56538932 4.56642936 4.56746832 4.5685062 4.56954301 4.57057874
4.5716134 4.57264699 4.57367952 4.57471098 4.57574138 4.57677071
4.57779899 4.57882621 4.57985238 4.58087749 4.58190156 4.58292458
4.58394655 4.58496748 4.58598737 4.58700622 4.58802403 4.5890408
4.59005655 4.59107126 4.59208495 4.5930976 4.59410924 4.59511985
4.59612944 4.59713801 4.59814557 4.59915211 4.60015764 4.60116216
4.60216568 4.60316818 4.60416969'''
# Vor der Auaführung des Codes, zuächst immer Originalzustand herstellen.
# Dann Komma einsetzen u, print(modified_string) aktivieren
modified_string = original_string.replace(" " , " ") # ((" " , ", ")
#print(original_string )
print(modified_string)
Code: Alles auswählen
# Einfache Logarithmische Gleichungen lösen
# ipy import *
import numpy as np
from numpy import *
# Allgemeine Formel : log(Basis) = Numerus
# Beispiele mit unterschiedlicher Basis
########## log(x) = 2
x=e**1
print(x)
x=e**2
print(x)
x=e**2.718
print(x)
x=e**exp(-2)
print(x)
print()
########## log10(x) = 3
x= log10(1)
print(x)
x= log10(10)
print(x)
x= log10(3.4)
print(x)
x= log10(log(10))
print(x)
print()
########## log2(x) =2
x= log2(1)
print(x)
x=log2(10)
print(x)
x=log2(10)
print(x)
x=log2(sin(3))
print(x)
print()
########## log5(x) =2
x= log((1,5) )
print(x)
x= log((3.27,5))
print(x)
x=log((0.4,5))
print(x)
x=log((log10(19),5))
print(x)
x=log((exp(3),5))
print(x)
Code: Alles auswählen
#Logarithmische Gleichungen :Bestimmung des Logarithmanden als " Basis " ipy import *
import numpy as np
from numpy import *
#:formal : logarithmand * x = numerus
#log3 *x =100
print(3**10)
#####################################
# beispiel
# log(.e**1/2 * x = 7
x= e**1/2 ** 7
print(e **7)
#log4*x**2 =6
#x**2 = 4**6
x= 4**6 *1/2
print(4**6 *1/2)
#log3*x - log3*5*x = 5
# log3*4*x =12
x= 4**5**1/4
print(4**5**1/4)
#log2*x = 2.7184
x= 2**2.718
print(e**2.7184)
#log1.7 *x = 10
x=1.7
1.7**5
print(x)
#loge *x =100
x= e**100
print(e**10)
#log(pi/e) x = 35
x=pi/e**35
Code: Alles auswählen
#Logarithmus mit sehr kleiner Basis
import numpy as np
from numpy import *
# log0.5(*x) = 25 gilt formal für weitere Ergebnisse)
print(0.5 **pi)
print(0.1 **e)
print(0.03**e )
print(0.1 ** pi)
print(log(pi)** 0.0000000001)
print(log(e)**e)