vault backup: 2023-03-10 08:18:20
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---
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||||||
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excalidraw-plugin: parsed
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||||||
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tags: [excalidraw]
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||||||
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||||||
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---
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||||||
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==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
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||||||
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||||||
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||||||
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%%
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||||||
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# Drawing
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||||||
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```compressed-json
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||||||
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aA==
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```
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%%
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||||||
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!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md
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!Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md
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!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md
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!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md
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---
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||||||
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||||||
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excalidraw-plugin: parsed
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||||||
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tags: [excalidraw]
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||||||
|
|
||||||
|
---
|
||||||
|
==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
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||||||
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||||||
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||||||
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# Text Elements
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||||||
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%%
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||||||
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# Drawing
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||||||
|
```compressed-json
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
|
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||||||
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|
||||||
|
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||||||
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|
||||||
|
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|
||||||
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|
||||||
|
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||||||
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|
||||||
|
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|
||||||
|
|
||||||
|
qK8X4RMloGAHqNwFv40w6obMh56/MfXpglTZL9quiosfDksFEsWwX7E7ETLFcFcs
|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
eE3Gnmf6Y6FTJTpHnyXOWyVuxluSmzGFoWfIScl+nGxosB6VoXa3BaLrgH4q+ASe
|
||||||
|
|
||||||
|
BJZ0ChlFSR9ZjCLVmXkQ3YAuPdqVYd2RZpvESyqcd5LaEX8QBXNmvnuvYlxmCrPY
|
||||||
|
|
||||||
|
BWWhLPZ1h5Nq7l862AcsgMJeUEwEIKAOfWG4VVnP7lxBWVggrTlsZuhTllUEAFyB
|
||||||
|
|
||||||
|
cYzH5zqaHuFllJcLCUlzwJLSJ+WZsbFeiqil4bN7HxcUiWxXyJbFWC6ilLPFd4tI
|
||||||
|
|
||||||
|
jQcT7iVvweJUqlLSHhV0YclbwlyVEWXJW369FcWYA+z+irnYQ6lWT5yVT3nJVA+7
|
||||||
|
|
||||||
|
nHrCMVxlefr0VFLkqXGVglcZXCVLSHWYcV7nET4wK7nOv5WVz+lzE6VhASImEBYL
|
||||||
|
|
||||||
|
rHGhgr8S2JHQSlTLk2VQVWGFeVMIhQmaV6AZmDw+QVb3GEQsULbHMQ5CdJnCQype
|
||||||
|
|
||||||
|
GaxxpYdRBZmlFWpCxQ+VTpAKlRVVpAxFQFHEUBBd0GOCEwOcFVkGqSnMflha5sM4
|
||||||
|
|
||||||
|
QFJw2W8h4W11GClx5T5jsmwpOws2mHpI+fqkluBKaVyaqnKdOFl5KKDSJKw6kByn
|
||||||
|
|
||||||
|
kpcScxQpSbbjdY40rbpylmBdhEwTZFBMIVJRw81btXMw+1baR1ZBKdKkwxD+XigX
|
||||||
|
|
||||||
|
VWRatWMCQMLvZ3VT0IQTVRm1c9VDwV1VKkqBCvjW7nVuIn4kqKm1f9XVVC1X9VOp
|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
NTzD3VL1Z9UY1CNbdWbV7sGkiw1d1XlCbWQYPjVSpL0OtWA1i1fYJIw6ReSk44br
|
||||||
|
|
||||||
|
DtWrVB3J5r/ck1bp4oQ3NQSkDwWpI9WTVlsHlDS1PNbLUfVSNTmCK18tRLWi1mug
|
||||||
|
|
||||||
|
LUa14tXiiS1cta9U812tfqXq12jmLXG1utUbXE1ssILX1uoNRbWm1mtSLUO1OtYj
|
||||||
|
|
||||||
|
AEMlIezUS1qtQbUm1Gui7UzVltVrXO15ta7UB1ItY3C21ytbqVm1VtQTBR1jtTzU
|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
JxFjZ7BgLedXmbi4MQ3VvQZmk6kuY1yYXmgh5dW5hd1SzG1q7JuEMNyR4UKLsl5w
|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
AJ0BxkVIAcDYAmAB9CFgAwDahHAmgLqjCGAwH9lCcyUYDkrYw0Fv53SChg5kgl+x
|
||||||
|
|
||||||
|
I2VmM7QaXpMFbZTRKsFrEV2UaZGrJxHaZ+Tvf56ZtoYOU45fXq/4Ty10E7Ivp8wX
|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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|
||||||
|
|
||||||
|
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||||||
|
|
||||||
|
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||||||
|
|
||||||
|
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||||||
|
|
||||||
|
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||||||
|
|
||||||
|
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||||||
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|
||||||
|
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||||||
|
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||||||
|
|
||||||
|
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||||||
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|
||||||
|
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||||||
|
|
||||||
|
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||||||
|
|
||||||
|
7qBNfNanZ+3zN3Cml4eF9E+JXDhZgKOMFkEQBK7jSgYhdyav20kMV3KCZSOCqddC
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||||||
|
|
||||||
|
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||||||
|
|
||||||
|
G/MCNQ7hUjoS3Gq1pY43uQziiVJYMeSa5rFF9IrJiXWLSZ11OlBLXi0NFVIi5qDd
|
||||||
|
|
||||||
|
WDCXnKOFXWZ5wtI2kPXb5tIW570hkZaRnRlc7YeAadiwN8AJll2U/AIA3QK3jdAp
|
||||||
|
|
||||||
|
AKjw8AztMoBcQhABQB+UcAAkATA9AGU3gcwebl7EIWEr8UVClBfoyIdyrdRH1NdB
|
||||||
|
|
||||||
|
U+2ANipsA2/SbTbCVqZEDRwWaZ0DdwUQymOYB2INwHQjIoN1tnoiNZUaTBUOt8Gt
|
||||||
|
|
||||||
|
IUY9BsYspwtAWEs1zeKHd63ENVMrSWLcjcIG2sCwbdQ2nBZkseUiq1CSIQ0VCgsx
|
||||||
|
|
||||||
|
2/UL3jfLn6fsehL4V5iQdCKaDTHz3YuiuFM0cYXPbDTKJYpVgnmJ1ublCLO1idVB
|
||||||
|
|
||||||
|
lxayND4R83JeyofNWhBoltWTPaR1X6spSKqMJMyAZ2GaFUc4JmB83Y1FuamzP2Cd
|
||||||
|
|
||||||
|
RDnTIrp5g0KQYVcBfFnwx1tguEnNJ/bqGxQMtRSgYkw6kFCZSOHyN8AXGNXb40fI
|
||||||
|
|
||||||
|
/jVmpZJAfTV1R9p0agz2awnGF2vI8YE+Yp9gfQn2LcUXXDY5KJXcFjBB/ibl3wMo
|
||||||
|
|
||||||
|
TR+nPGxfGemF9dvhWlMKHnRJjGquEMqpFcoQfjZLdVLSt1gFa3TvWS4AUgP6H1SQ
|
||||||
|
|
||||||
|
RgAcAv8FKFCARgAMCFl1QAgCdAFAHcBZlmAJ44Pd6mFMqXSb3YMSKl2esV5jev9f
|
||||||
|
|
||||||
|
WRqt/3QwWatLTdq0g9urWDrftPZVD19lprQOVDNQ5bjkjlmsTFjXIEke6E/+ZOfy
|
||||||
|
|
||||||
|
xsoHqQT0byXras1bBgbOh3XQZFizHYdURrh0nBjwqzLrFVrhJ3HOJnLArCCNHfIR
|
||||||
|
|
||||||
|
5ZyXB+U3xCpZLmxxkuVmYYDRvZVVW6UeNb0sK0itiYgMfbfY1l93baH2eNOxgibT
|
||||||
|
|
||||||
|
cBjS0lB4LKfaUyKLmLVGeJ0ivNYayB6ctyTtG9dS3PiMTet17IAUkoLUZVjlUB9A
|
||||||
|
|
||||||
|
s8H/CNAdwJ0CzwxQcwCzwlRLjzNA0wN0A+UYQGwDz9wmc917qXcFv5Ydr2oCXYkm
|
||||||
|
|
||||||
|
/Q6KtB6rbDmMRIDboYa2mdB02i8EPVA2/tMDdxFG2vBbxHmtAkSB1I9JmR4jvKXc
|
||||||
|
|
||||||
|
B6yWZ3AFg1zNqll3AXuFudTme2tOah2qFf/a9bOYlPWvQgDTMs7FhtQmqFHoU9zg
|
||||||
|
|
||||||
|
WFild+plmIYWQz/plRebeqVmeAdOGBj5C3Qar+EGfkX7aqNMG4TieHXDdRtSmeXD
|
||||||
|
|
||||||
|
FhlFBpE1t90TeAVvisPHGWMGvfTjHVAPlAgCVEQgCMB4A1QEMDiDHAPwZjAf8HcC
|
||||||
|
|
||||||
|
zwnQPd0ntUrbuomw6VNHBVlRYWv0KGaVHe0rKxhv/VNCgPVq1vtVg2A1wl7BV02c
|
||||||
|
|
||||||
|
FZ/ejkw9rg2a0GZHg4j145L6PNRJMjjZ8pBDL/Xgj7JbySbGE9lJSoXrlJDWT3vo
|
||||||
|
|
||||||
|
LObs3U9+zTQ2slMbfr2jMDTLDTaJ2yNokdIoIIYlnxaiYfEvBm8Roky9cFOG29mf
|
||||||
|
|
||||||
|
sW7ndWgiR3F6JgvUOZ+x2zWq6K4qjNiNM9jcdompSQfDwmbd3KtokMVnVi8HPA2h
|
||||||
|
|
||||||
|
GJC/U50JS4PyBvXnY3yGla0YaJrNRIRc92wyfQvB9mhISYUapSMbi004eZl2ewWP
|
||||||
|
|
||||||
|
XVImWfceFXM3jftDZ9o3IH359EcBX1ZqLfPoq59Z4Y7A5w5jWeE1SkgRUkSwYkuj
|
||||||
|
|
||||||
|
qd1Fgi3CujV+Q9BuqJ+TkpTGdNZymnQnUtjWcpI3OdBbhQGYjDrGdcO75eKRsDwr
|
||||||
|
|
||||||
|
MKGGXbAjazBEmNuwqUstFR4jA/pSKYzvjX0apyDMEGupsKWrC2pmsH/kEwHMPpSR
|
||||||
|
|
||||||
|
pFYxNxu4Zsv22hDvIwgywhTfdCwgFvA0NId9PQ77GyjhRqxihC4AH+DjEcAHAA8g
|
||||||
|
|
||||||
|
M8NwC3w0AGGjZAVQJ2CkAbtMUAMAhACvzTA5gzepjAm41uMEgEANgAiAxaFaAlg9
|
||||||
|
|
||||||
|
2Vv2PtADZAB7jpAAeNHja44k4WDwPeUAXjV41kA31aTjYNvqu4/uO8Ih41kA8gdg
|
||||||
|
|
||||||
|
9LEfjl41+NHjv4yDK3DD45+O5A34/oD1AJrUbYATT4/oCVEfBS+DwTQE8+OcAUAA
|
||||||
|
|
||||||
|
MC4AO8PgDDU2wKhOQTR4wMAYTzQOvzLB+E4+NoT+gJ0BYAUAMahEAG0lUDBAYwFk
|
||||||
|
|
||||||
|
IETUAFBPjjpAHROXjbABQBhouAC+inUbE1BO1glIMag8TfEyEBN4zIAiD5CooNgA
|
||||||
|
|
||||||
|
IgXIGIZA5Y9kuOIFik/gCdYrrIepoiEAEYDxejqGgAN49AAQDL8FwNkTCTR4zBNC
|
||||||
|
|
||||||
|
Sa5FiU7jZICQCkTRgFAhCTegDSCzwBAITglgk4+wxsTIE8iBITZqJwA28aNGYDCA
|
||||||
|
|
||||||
|
zALMCJyxAE5MuTLYOABuUqTkZrAAl8CACXwQAA==
|
||||||
|
```
|
||||||
|
%%
|
||||||
@@ -1346,6 +1346,7 @@ Poleg
|
|||||||
Przyrządy
|
Przyrządy
|
||||||
Pierwsza
|
Pierwsza
|
||||||
Please
|
Please
|
||||||
|
Poprzednie
|
||||||
obj
|
obj
|
||||||
oh
|
oh
|
||||||
oq
|
oq
|
||||||
@@ -6650,6 +6651,7 @@ endElkId
|
|||||||
elkEl
|
elkEl
|
||||||
error
|
error
|
||||||
endBindingEl
|
endBindingEl
|
||||||
|
elementem
|
||||||
Length
|
Length
|
||||||
Link
|
Link
|
||||||
LN
|
LN
|
||||||
@@ -10680,6 +10682,8 @@ startElkId
|
|||||||
sources
|
sources
|
||||||
selectedIndividualArrows
|
selectedIndividualArrows
|
||||||
startBindingEl
|
startBindingEl
|
||||||
|
sumy
|
||||||
|
stykach
|
||||||
JQ
|
JQ
|
||||||
Js
|
Js
|
||||||
JX
|
JX
|
||||||
@@ -17275,6 +17279,7 @@ Błędów
|
|||||||
Błędy
|
Błędy
|
||||||
BRANDES
|
BRANDES
|
||||||
Between
|
Between
|
||||||
|
Bramki
|
||||||
Trans
|
Trans
|
||||||
Type
|
Type
|
||||||
TF
|
TF
|
||||||
@@ -18652,6 +18657,7 @@ TGxa
|
|||||||
TIiK
|
TIiK
|
||||||
Techniki
|
Techniki
|
||||||
Teoria
|
Teoria
|
||||||
|
Tautologie
|
||||||
Annots
|
Annots
|
||||||
Annot
|
Annot
|
||||||
Aac
|
Aac
|
||||||
@@ -22558,6 +22564,7 @@ RuF
|
|||||||
REO
|
REO
|
||||||
RAU
|
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|
||||||
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|
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|
||||||
|
Rozdzielność
|
||||||
Navigation
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||||||
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|
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||||||
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|
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|
||||||
@@ -30525,6 +30532,7 @@ initTopX
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|||||||
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|
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|
||||||
intersectA
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||||||
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||||||
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|
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|
||||||
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|
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|
||||||
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|
vD
|
||||||
@@ -54345,6 +54353,7 @@ wielkośni
|
|||||||
wskazuje
|
wskazuje
|
||||||
większy
|
większy
|
||||||
will
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|
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względem
|
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|
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|
||||||
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||||||
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||||||
@@ -55760,6 +55769,7 @@ powered
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placement
|
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|
||||||
parse
|
parse
|
||||||
points
|
points
|
||||||
|
przemienności
|
||||||
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|
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|
||||||
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|
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|
||||||
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|
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|
||||||
@@ -63613,6 +63623,8 @@ nodePlacementStrategy
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nodeNodeSpacing
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nodeNodeSpacing
|
||||||
nodeNodeBetweenLayersSpacing
|
nodeNodeBetweenLayersSpacing
|
||||||
normalizeSelectedArrows
|
normalizeSelectedArrows
|
||||||
|
negacji
|
||||||
|
neutralnym
|
||||||
gNx
|
gNx
|
||||||
gHI
|
gHI
|
||||||
gri
|
gri
|
||||||
@@ -69022,6 +69034,7 @@ znamionowa
|
|||||||
zakresu
|
zakresu
|
||||||
zakresowy
|
zakresowy
|
||||||
zgrozo
|
zgrozo
|
||||||
|
zadanie
|
||||||
ÜI
|
ÜI
|
||||||
Üj
|
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|
||||||
ÜX
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|
||||||
|
|||||||
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.obsidian/workspace.json
vendored
119
.obsidian/workspace.json
vendored
@@ -8,79 +8,36 @@
|
|||||||
"type": "tabs",
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"type": "tabs",
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"state": {
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"file": "AMiAL/Wykłady/Wykłady.md",
|
"file": "TC/Ćwiczenia/1. Algebra Boola.md",
|
||||||
"mode": "source",
|
|
||||||
"source": false
|
|
||||||
}
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|
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|
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||||||
"id": "dd7d6d61fda973a2",
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|
||||||
"type": "leaf",
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"state": {
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"type": "markdown",
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"state": {
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"file": "AMiAL/Wykłady/1 SEM/Untitled.md",
|
|
||||||
"mode": "source",
|
|
||||||
"source": false
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|
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||||||
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"id": "d22b7f26e7085367",
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"type": "leaf",
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"state": {
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"file": "EiM/EiM.md",
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|
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"mode": "source",
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|
||||||
"source": false
|
|
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}
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|
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|
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"id": "1acc540e6db65ad7",
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"type": "leaf",
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"type": "markdown",
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"state": {
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"file": "EiM/Wykłady/Untitled.md",
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"id": "f0ee554ad90b4406",
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"type": "leaf",
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"state": {
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"type": "markdown",
|
|
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"state": {
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"file": "TC/Wykład/0. Wstęp.md",
|
|
||||||
"mode": "source",
|
|
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"source": false
|
|
||||||
}
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|
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}
|
|
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"id": "2ac8472781358939",
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"type": "leaf",
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"state": {
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"type": "markdown",
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"state": {
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"file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md",
|
|
||||||
"mode": "source",
|
"mode": "source",
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"source": false
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"source": false
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}
|
}
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}
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}
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}
|
}
|
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],
|
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|
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"currentTab": 5
|
},
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|
{
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|
"id": "6cac8048b3de6e65",
|
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|
"type": "tabs",
|
||||||
|
"children": [
|
||||||
|
{
|
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|
"id": "98355ea40f905ecf",
|
||||||
|
"type": "leaf",
|
||||||
|
"state": {
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|
"type": "markdown",
|
||||||
|
"state": {
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|
"file": "TC/ALGEBRA BOOLOWSKA.md",
|
||||||
|
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|
||||||
|
"source": false
|
||||||
|
}
|
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|
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|
||||||
|
}
|
||||||
|
]
|
||||||
}
|
}
|
||||||
],
|
],
|
||||||
"direction": "vertical"
|
"direction": "vertical"
|
||||||
@@ -146,7 +103,7 @@
|
|||||||
"state": {
|
"state": {
|
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"type": "backlink",
|
"type": "backlink",
|
||||||
"state": {
|
"state": {
|
||||||
"file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md",
|
"file": "TC/Ćwiczenia/1. Algebra Boola.md",
|
||||||
"collapseAll": false,
|
"collapseAll": false,
|
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"extraContext": false,
|
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"sortOrder": "alphabetical",
|
"sortOrder": "alphabetical",
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@@ -163,7 +120,7 @@
|
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"state": {
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"state": {
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||||||
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|
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|
||||||
"state": {
|
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||||||
"file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md",
|
"file": "TC/Ćwiczenia/1. Algebra Boola.md",
|
||||||
"linksCollapsed": false,
|
"linksCollapsed": false,
|
||||||
"unlinkedCollapsed": true
|
"unlinkedCollapsed": true
|
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}
|
}
|
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@@ -186,7 +143,7 @@
|
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"state": {
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"state": {
|
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"type": "outline",
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"type": "outline",
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||||||
"state": {
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"state": {
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"file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md"
|
"file": "TC/Ćwiczenia/1. Algebra Boola.md"
|
||||||
}
|
}
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}
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}
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},
|
},
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@@ -244,10 +201,22 @@
|
|||||||
"obsidian-excalidraw-plugin:Create new drawing": false
|
"obsidian-excalidraw-plugin:Create new drawing": false
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}
|
}
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|
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"lastOpenFiles": [
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"!Załączniki/2. Optymalizacja ze stanem nieokreślonym 2023-03-08 08.59.49.excalidraw.md",
|
"!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md",
|
||||||
|
"TC/Ćwiczenia/1. Algebra Boola.md",
|
||||||
|
"TC/ALGEBRA BOOLOWSKA.md",
|
||||||
|
"!Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md",
|
||||||
|
"!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md",
|
||||||
|
"AMiAL/Wykłady/Wykłady.md",
|
||||||
|
"AMiAL/Wykłady/1 SEM/Untitled.md",
|
||||||
|
"EiM/EiM.md",
|
||||||
|
"EiM/Wykłady/Untitled.md",
|
||||||
|
"TC/Wykład/0. Wstęp.md",
|
||||||
|
"TC/Ćwiczenia/Ćwiczenia.md",
|
||||||
|
"TC/Laboratorium/Laboratorium.md",
|
||||||
"TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md",
|
"TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md",
|
||||||
|
"!Załączniki/2. Optymalizacja ze stanem nieokreślonym 2023-03-08 08.59.49.excalidraw.md",
|
||||||
"!Załączniki/Excalidraw/Scripts/Downloaded/Auto Layout.md",
|
"!Załączniki/Excalidraw/Scripts/Downloaded/Auto Layout.md",
|
||||||
"!Załączniki/Excalidraw/Scripts/Downloaded/Box Selected Elements.svg",
|
"!Załączniki/Excalidraw/Scripts/Downloaded/Box Selected Elements.svg",
|
||||||
"!Załączniki/Excalidraw/Scripts/Downloaded/Text Arch.md",
|
"!Załączniki/Excalidraw/Scripts/Downloaded/Text Arch.md",
|
||||||
@@ -268,19 +237,7 @@
|
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"!Załączniki/Excalidraw/Scripts/Downloaded/Auto Layout.svg",
|
"!Załączniki/Excalidraw/Scripts/Downloaded/Auto Layout.svg",
|
||||||
"!Załączniki/Excalidraw/Scripts/Downloaded",
|
"!Załączniki/Excalidraw/Scripts/Downloaded",
|
||||||
"!Załączniki/Excalidraw/Scripts",
|
"!Załączniki/Excalidraw/Scripts",
|
||||||
"TC/Wykład/0. Wstęp.md",
|
|
||||||
"TC/ALGEBRA BOOLOWSKA.md",
|
|
||||||
"TC/Wykład/1. Optymalizacja.md",
|
"TC/Wykład/1. Optymalizacja.md",
|
||||||
"TC/Wykład/Wykład.md",
|
|
||||||
"TC/TC.md",
|
|
||||||
"EiM/EiM.md",
|
|
||||||
"EiM/Wykłady/1. Wstęp.md",
|
|
||||||
"EiM/Wykłady/Untitled.md",
|
|
||||||
"PI/PI.md",
|
|
||||||
"EP/EP.md",
|
|
||||||
"AiSD/AiSD.md",
|
|
||||||
"AMiAL/AMiAL.md",
|
|
||||||
"AMiAL/Wykłady/Wykłady.md",
|
|
||||||
"!Załączniki/Recording 20230307101855.webm",
|
"!Załączniki/Recording 20230307101855.webm",
|
||||||
"!Załączniki/Drawing 2022-10-28 10.29.21.excalidraw.svg",
|
"!Załączniki/Drawing 2022-10-28 10.29.21.excalidraw.svg",
|
||||||
"!Załączniki/Recording 20230307101521.webm",
|
"!Załączniki/Recording 20230307101521.webm",
|
||||||
|
|||||||
@@ -1,14 +1,14 @@
|
|||||||
# Aksjomaty algebry boola
|
# Aksjomaty algebry boola
|
||||||
1. $(\bar 0 = 1) \cap (\bar 1 = 0)$
|
1. $(\bar 0 = 1) \cap (\bar 1 = 0)$
|
||||||
2. $\forall x\in B (x+1=1) \cap (x \cdot 1 = x)$
|
2. $(x+1=1) \cap (x \cdot 1 = x)$ - 1 elementem neutralnym dla iloczynu
|
||||||
3. $\forall x\in B (x+0=x) \cap (x \cdot 0 = 0)$
|
3. $(x+0=x) \cap (x \cdot 0 = 0)$ - 0 elementem neutralnym dla sumy
|
||||||
4. $(x + \bar x = 1) \cap (x \cdot \bar x = 0)$
|
4. $(x + \bar x = 1) \cap (x \cdot \bar x = 0)$ - Prawo negacji
|
||||||
5. $(x+x=x)\cap (x\cdot x = x)$
|
5. $(x+x=x)\cap (x\cdot x = x)$ - Prawo idempotentności
|
||||||
6. $\bar{\bar x} = x$
|
6. $\bar{\bar x} = x$
|
||||||
7. $\forall x,y \in B\ \ (\overline{x+y}=\bar{x}\cdot \bar{y})\cap (\overline{xy}=\bar{x}+\bar{y})$ prawo de morgana
|
7. $(\overline{x+y}=\bar{x}\cdot \bar{y})\cap (\overline{xy}=\bar{x}+\bar{y})$ - Prawo de morgana
|
||||||
8. $(x+y = y+x) \cap (x\cdot y = y \cdot x)$
|
8. $(x+y = y+x) \cap (x\cdot y = y \cdot x)$ - Prawo przemienności iloczynu/sumy
|
||||||
9. $x+(y+z)=(x+y)+z\cap x(yz)=(xy)z$
|
9. $x+(y+z)=(x+y)+z\cap x(yz)=(xy)z$
|
||||||
10. $x(y+z)=xy+xz\cap x+(yz)=x+y \cdot x+z$
|
10. $x(y+z)=xy+xz\cap x+(yz)=x+y \cdot x+z$ - Rozdzielność iloczynu względem sumy
|
||||||
|
|
||||||
# Prawa Pochłaniania
|
# Prawa Pochłaniania
|
||||||
1. $x+xy=x \cap x(x+y)=x$
|
1. $x+xy=x \cap x(x+y)=x$
|
||||||
@@ -16,3 +16,6 @@
|
|||||||
|
|
||||||
# Prawo Wklejania
|
# Prawo Wklejania
|
||||||
1. $(yx+\bar x=y)\cap[(y+x)(y+\bar x)=y]$
|
1. $(yx+\bar x=y)\cap[(y+x)(y+\bar x)=y]$
|
||||||
|
|
||||||
|
%%za a+a=a^2 ban na życie%%
|
||||||
|
|
||||||
|
|||||||
31
TC/Ćwiczenia/1. Algebra Boola.md
Normal file
31
TC/Ćwiczenia/1. Algebra Boola.md
Normal file
@@ -0,0 +1,31 @@
|
|||||||
|
|
||||||
|
---
|
||||||
|
Date: [20230308101739]
|
||||||
|
---
|
||||||
|
|
||||||
|
![[ALGEBRA BOOLOWSKA]]
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
# Tautologie
|
||||||
|
## 1
|
||||||
|
$$\begin{gathered}
|
||||||
|
x\cdot y + \bar{y} \cdot z = (x+z)\cdot(y+\bar{x})
|
||||||
|
\\\\
|
||||||
|
P=(x+z)\cdot(y+\bar{x}){=}^{10}(x+z)\cdot y + (x+z)\cdot \bar{x}\\=^{8}y\cdot(x+z)+\bar{x}\cdot(x+z)=^{10}y\cdot x+ y \cdot z + \bar{x}\cdot x + \bar{x} \cdot z\\ =^{4}y\cdot x + y \cdot z + 0 +\bar{x}\cdot z =^{3}y\cdot x + y \cdot z + \bar{x}\cdot z\\=^{2}y\cdot x + y \cdot z \cdot 1 + \bar{x}\cdot z =^{4} y\cdot x + y\cdot z \cdot (x+\bar{x})+\bar{x}\cdot z \\=^{10}y\cdot x + y\cdot z \cdot x + y \cdot z \cdot \bar{x}+\bar{x}\cdot z =^{8} x*y+xyz+\bar{x}zy+\bar{x}z \\=^{2}xy(1+z)+\bar{x}z(y+1)=^{8}xy(z+1)+\bar{x}z(y+1)=^{2}xy\cdot1+\bar{x}z\cdot 1\\=^{2}xy+\bar{x}z = L
|
||||||
|
|
||||||
|
\end{gathered}$$
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
# Bramki na stykach
|
||||||
|
|
||||||
|
![[1. Algebra Boola 2023-03-08 11.11.50.excalidraw]]
|
||||||
|
|
||||||
|
|
||||||
|
## Poprzednie zadanie:
|
||||||
|
![[1. Algebra Boola 2023-03-08 11.17.37.excalidraw]]
|
||||||
|
|
||||||
|
![[1. Algebra Boola 2023-03-08 11.38.40.excalidraw]]
|
||||||
6
TC/Ćwiczenia/Ćwiczenia.md
Normal file
6
TC/Ćwiczenia/Ćwiczenia.md
Normal file
@@ -0,0 +1,6 @@
|
|||||||
|
# Ćwiczenia Overview
|
||||||
|
|
||||||
|
```ccard
|
||||||
|
type: folder_brief_live
|
||||||
|
```
|
||||||
|
|
||||||
Reference in New Issue
Block a user