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!Załączniki/20221209102007 2022-12-09 10.20.56.excalidraw.md
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---
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excalidraw-plugin: parsed
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tags: [excalidraw]
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---
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==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
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# Text Elements
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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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|
||||||
|
|
||||||
|
RYJVSkQo0LuCzSnqB444+WkKiUAXRzZTw5wts4MHSFxwI9OBtVblXQSsv6yBDF5N
|
||||||
|
|
||||||
|
+SaCOTzidjSzlGnZ1StasmzOUZ7MU9+EFEXGzyCU4Fk4G4//DLj/xGeP2FAkTFNO
|
||||||
|
|
||||||
|
rm8KAgbgBdbIMGoAbKKixz6qdvE45tS5FK7RnkN6vGoyPF8BuF8cj0CYg9Sy6n/k
|
||||||
|
|
||||||
|
E4vhWViyXFkSYhJLZsTZTSzQdixtARSbEjFQRP5Uwdi1Q5ADxrktEX+T3qJERbYp
|
||||||
|
|
||||||
|
4t0GHjUqFMVwJtqMmsGoV8f8HflIa8Kkw5VEddmpqNqWsUpc0CVmpGBxRbeQZrPq
|
||||||
|
|
||||||
|
NQw1gTgHuNvZIc8dVurUqAPCU4bFEWp5r1PGsQFru4wFL1FJa5xhricRNFFah2xJ
|
||||||
|
|
||||||
|
anAUEqHdWut6UFSBzNi5TWGpQDhFKCR0o/M+K5yYi5l2viEimVO1I4SoqtTCebZV
|
||||||
|
|
||||||
|
L5sJABGBgBqgPGB4AfAVoEIA/ACgFiAg4RbjYA8YNnXoA4AHXPqLumMYONzJg3W2
|
||||||
|
|
||||||
|
HRuYdoowtX8LCzQKOUvouH8wooYoaNbXfSOh5uyl20mKSE/spmKfcz11jSA82PKD
|
||||||
|
|
||||||
|
yqilnmTTndR4MjyRiF4JjzZNQejm9uEw4t8jI6SrN2Azi2SyIw+EzPJ2J9gPSSzs
|
||||||
|
|
||||||
|
DyutyPKYQtRI81S3IAO+w2068rmdfi2y3vLi9MEp0Tf7G/WxiQTbvIWSISlLS/z8
|
||||||
|
|
||||||
|
S7dO/yBtYSuqipBXU13z13cQIAqxVQ+uAKpyAxPUymrC+pxiT8v8hXzQcV+qBLW8
|
||||||
|
|
||||||
|
++oJjmSqCtUwOYmfNS1d67528knBY9LgKzKoAqcyYGyCvcysC3mJwLJEX5XGqtk0
|
||||||
|
|
||||||
|
YETNn8mmh0DxCoVFcCXtDwPoKqanYCeQsHIlDHMdKBz2mFqGmA1VjJUehpFFPAsJ
|
||||||
|
|
||||||
|
ErwSG6YW1jAa/TjsLU8PuXutnYnPB7kcUVaAgjmDVCOOzi2f9k+sTOeuX44DAyYT
|
||||||
|
|
||||||
|
oU/SsVMDLba+IqT95COEtgbaSl2sz8xcrblIBrxNgFRhugqDT8AOgKGGyAYADgHw
|
||||||
|
|
||||||
|
A3AaoD8B8AOAAhho66SPIhvMMJ144KNAImo1fNCtIj4TbX1NWDL7bGNzqbXDhILq
|
||||||
|
|
||||||
|
ddaf1DS+yz3NdczI2YvQBfchYsuCxyuhLrrQ8oN02K5yqPMzSZvCNxzTVjNnm4BS
|
||||||
|
|
||||||
|
qeKhjx7/cjBHrREivDEM/g9S0UlDy472LzXis8veKuUDAmzd20m8vRDHvMLQfLN6
|
||||||
|
|
||||||
|
vtLfzP6k/QRLm3IZr/1+A0DKytkS+BuWjH605DGSXQ5CroyYGqAtND2Km5i6ScWC
|
||||||
|
|
||||||
|
+2/r0khdIT4ySgD3cqwq4bVkYl8n/Mtkj3GMK0resc/LkqIfeJP3rPEmCuwgqYnZ
|
||||||
|
|
||||||
|
sZUYqoUPT950vSv8lNmm3g+bkkLpJKrVk2ynbUJEiUqQgVOXzWTl8PLtgtRw8IIK
|
||||||
|
|
||||||
|
FQ1KUiHMCiUG0mUo4bShpDwjRPYGAVi1JBB5h3A+lLRbJLYhuJbsW8xlXwYa7FA7
|
||||||
|
|
||||||
|
VflVaixbJUdtSRR6zCj0xF5qBTk2FjwxbVE8vOLAxmrmqTNhs88HXZHDxvYytXt8
|
||||||
|
|
||||||
|
81CmxIJLtOXw1gKqoHN9LLalHWtryIoMrtqNG8LTUwO3JZujL3a9AA24YACgBxgY
|
||||||
|
|
||||||
|
gNwAmB/gHwB0AvARbgxhYgLGHccXGxvysy3xD0B8IqMJC2ZkVOF4WrKHkrCy5dPy
|
||||||
|
|
||||||
|
pso2A2NAizbL/Upo0DSuy4NJ7KS6hHjLrvc8TXmLqExYtSaE04PPrrd/TJpcitin
|
||||||
|
|
||||||
|
Jp2LGnfJq4SL/but4Tp0eNhdi9jdPIlhKmvhLljZhAeq0Ia0hptkSXikt0Wcz6GM
|
||||||
|
|
||||||
|
C+Qryiyx+LbyrKN6aN6p9SJifygBqfKm83tz/q6KJk3skgG8lnHdnm/8mPTZ23Sq
|
||||||
|
|
||||||
|
nTJ2qdOsYYGuZvvjWAp8iykoSnRtb5HM7KTBJspQGJ5M57F+u4CImY9oiZD2l+sP
|
||||||
|
|
||||||
|
aSrO5sAquK49JaxgW+az6zGDCF3rkNaoRp1K/sqqseAY2YX0Or88PST9i1q+eWgd
|
||||||
|
|
||||||
|
lsleWdL5q2uJqolrP9t3hN4kjlTifmGcOxTT8Q6kOFkOydV08URBDvuqpgR6os8f
|
||||||
|
|
||||||
|
yXqiJzyczlMPxgE4G1blaUag1A5bFULOZhEW8FHGAE3HUWpslW2m3pcbajz2DL7a
|
||||||
|
|
||||||
|
0MtP44SxVKfi+XGMogAqQeEDcAhAVoGPEPAcvz7hMAPwB8A4AcwkW4E0TAFIAiYP
|
||||||
|
|
||||||
|
Mv8csvaSJQhcvLV3y9QA0L3cIu/UYB78jbehHTq3ogNt5BGyx3LwTnciNtdyo2/X
|
||||||
|
|
||||||
|
VjaCnCuoTaRypNsG9xylYrTaQ7ZyKbqs2luujy8m7NPzaDiuusdB5iVQrHq1vK4p
|
||||||
|
|
||||||
|
55Q4YzoGdR693H9M16Opsc0p6xpuLdbjcuzLyN4yUVrbK3Tturzumz417agkgZoc
|
||||||
|
|
||||||
|
TJ0vvOfKB0z71kYj3ezNz5KWHjK1UXy5kLJ9ySDrunaWuvrsRLGu7ruT52usdKVY
|
||||||
|
|
||||||
|
VMhdsm6ZrOD2wLZoIvGMp7wzQPBSU895EBqR5HSHREzS2eQzw4dGUuusNQMwxShq
|
||||||
|
|
||||||
|
WvwIbh6CRRs8CegRguo1GGuFH8DY5LQtGFOCQIMe7o2MPxdjyPKPGUaVWi+LVb1G
|
||||||
|
|
||||||
|
6iNtxF21DLEpe8rm10a0ikLwQAhAXAFFsOQSIHwBrxegA5A4AMIEW5jxQW0kBFuK
|
||||||
|
|
||||||
|
xodbCy5tlgTR48iAo0uIUXV8aHGCPmzdFg0ODXzbOpv2KFQm8f3zrw2gyKLrsnGJ
|
||||||
|
|
||||||
|
qR4I08hPMi5i4cqrrRy3zrSaHdKcvWL9/LJvDtW68LtjyCm6NxXLx6XAimgXwNPK
|
||||||
|
|
||||||
|
S6sqweu3Ln/NsGGotqatIhC/imXly74o08oK7zyrlHoIl6srq6bMojEKq7tEmrs/
|
||||||
|
|
||||||
|
oFm2+1QKj3Wdp7cp2rZsqj6u2GXnbukUkrmbgmhMLIorm7iogYX2nn07VICDX0uq
|
||||||
|
|
||||||
|
dkHyktjqs501mEFtaatTlSUdSiUKMoR0z+EEa6YRxaXWhlpyDwI3jhfABYEeW+7u
|
||||||
|
|
||||||
|
O1VrUapU/jsB64Sx+NdrROvVogAdAHgEaCoAXIo5AvAegDKBFXHbgIBjaGAGIAOg
|
||||||
|
|
||||||
|
VIG07JI3TsdbgEbzB18vcD9lNzaYSLCQT0zI1y6KQ4bdqH8WNJkL97sEhzo7KnO5
|
||||||
|
|
||||||
|
nsjbi6tztiajgyNK57Emyuo4S405NuWLU2jJpTS00kLsgAI7CXvbrOEzuoLboujY
|
||||||
|
|
||||||
|
24Um1bN16dpgStqGIGwg9g3Ksu/O1ryC3Z4qabm2870Q74wVbO+Lyui3p6bYAvto
|
||||||
|
|
||||||
|
iLIi8dKDbykQbtGaQm8/ivzwKi90dCWQ3kPwHhIVru1x6fQ9O/SZMwlSX7WQ9AZF
|
||||||
|
|
||||||
|
C6ey9PG6PWNMLAcgDE2rg5SCkw1GcFkVjtXDqw5PDQ5LfaF2C4BwgQcbDDC7FG5T
|
||||||
|
|
||||||
|
MOeLJw5VqCThBRDk11L3h3TE+KfLlWkvt+6y+qiNZsHaubDoGbEdH11b0iiQDCBk
|
||||||
|
|
||||||
|
gPwEwAfAegHhAKgQgB25jxNSA5AtueECg1LBgIBx7rUqtCGEHwbdVWsMuJiF1sKm
|
||||||
|
|
||||||
|
TjnVgMbIxRNtavLOpY1Z9envbLGe0Yuc7xi1zrdt9+jnsHLKEmNNP7q6x/tt0bgy
|
||||||
|
|
||||||
|
cobrmEp4NC7cm3Yrzbn+qLqKa0ARKFrE9gdWHv9le1NxES64M4TE9HUwAcO8Qtae
|
||||||
|
|
||||||
|
obSS8w3tabG0c2pgHzertPXrqu4doSFQhoYZ35ifOZqDCrmgFqcg/m7liDDSpH9K
|
||||||
|
|
||||||
|
tC508gVmaRm1EtWHXy4Pq8y95BdlYdI2PORhoFKNLLzYXuRfGbl2PXzWRRhOVcOa
|
||||||
|
|
||||||
|
hqUfqsOTjq3woGrKUCWDVRwXLqHW1i+6ItL7eO9VoB7wtPTEXAagpVNr7DB9AAL8
|
||||||
|
|
||||||
|
rgbIHMJsARDSCAIYVoEW5KgCGHwA4wBL0W5XBoJ2I0D4bxnORMUbmAS6yy+SCQ9z
|
||||||
|
|
||||||
|
O11N79yvIMEp66Yq1Rp7tIkNqdz7XQup37We0usSGByqNO57Uhx/rP7+elNvSa1i
|
||||||
|
|
||||||
|
sPJv7sm/IZzaPIjuv2Lc0hPJl7BJIvB1qagaocTc6h3nkspWwIWGaGu0toabb8ux
|
||||||
|
|
||||||
|
KJhViwk4F6GV67tst6EBwYeQGepZAJXaeu80fd7IGbipYq/3Y9JjC0Si5JfgDEhV
|
||||||
|
|
||||||
|
TYIB23PkczQerEvIEvR0ky2GbTUfurVKswvA27ioOs2OHNzA0Tmy0HHsMYMOPDlq
|
||||||
|
|
||||||
|
MLhOCl2EGjrA0VLNmOwqBoNjkPUq+GzzdQd+H/urQYE7GBWzO9Hf+AwZC94QFMFa
|
||||||
|
|
||||||
|
AfADwEkAAgUweYAPAK4HoAJgcvyxgAgeEA5AClQftqKoEwss2A7U+Ov3lnlNtENk
|
||||||
|
|
||||||
|
GoQIf8ZghhfpdBAm/oqb8IhjYOGLohzsu36XO3foSH2etkaP6zdTkY11uRwPL87L
|
||||||
|
|
||||||
|
+/kYzbguoUbv7xewoYi7ihiUcLbE8uuG4cwFMtqS6dgH/uUtjwHs1GdJ64Ad17G2
|
||||||
|
|
||||||
|
sAa1H56yAeLFayzpoNGKutFSt7ASj0et7mAgxNfzauyHDmaqYjOtvJ3EodsDQ58h
|
||||||
|
|
||||||
|
ruz4l3ICsmjYsd5y60CKxBrmbEhbPl1Nnei0e+b8JthClCWu3/OsTMS3/k67GhAx
|
||||||
|
|
||||||
|
JSS3MrZrbyKB/rvfyd3bpEZKfesEjeaQBUjMwzIGQivXbqKuZokm1h6Cikqwq0GO
|
||||||
|
|
||||||
|
0a8MpVm4qIy3dpkDphp0dJ9sSyYeEm6KKkdyzGBMSdAZHMyGLCViqpgaBcWBpygA
|
||||||
|
|
||||||
|
k/ccZOjZPkBPDLVUWjINLM0UcrMIbSWolpz6AUViDjAfkC7voL3h0l3SCmG4XiYL
|
||||||
|
|
||||||
|
bugFGYbaGsM3tx7PUKb2SVC3gxT6qUGlBhbK5AIvLkBGyVC4bdYmjzeQ5S1a1kbu
|
||||||
|
|
||||||
|
zYFBnDzhqcJKamOXhrcbICQjuNi4XZtmmpYx/WOkaTNM5IcKBU3LkHNnuWynKnOW
|
||||||
|
|
||||||
|
lqAT7ssnFEMmis48GpcJq0zQAUUsskcl9/Iuzjc5W5LUrhy8zfMIIbQ2C/F4M/Mo
|
||||||
|
|
||||||
|
vs471HH7vFS/u8vo1bAlAyZYEzJtCYz9wAWiB1g4AOABpB9obgFBhoAC4BMBnAes
|
||||||
|
|
||||||
|
FIB+wYoAYBCAIVyg0Ji5o2yAAZwGbhAIAeXNIAz0ZIEzAdAGkD0imexkZBmRAcGc
|
||||||
|
|
||||||
|
hnfp+IY9ztx4GdBnEZ4wHg12R4/q87IADGbdgIZ4wGhnLdPnvxmEZwmchmSZwUFr
|
||||||
|
|
||||||
|
r0ZimbMAiZo2lPHhjeGbBnKZ4wHMJReg2FZnMZnQHg1OAKABTK7ofAFYlPpgmYZn
|
||||||
|
|
||||||
|
IZ/mbMAqQQgGvEl6bmfFmoARmZ8AsAKAGNoiAK4DwxwRhAGyAjdHmfZmoZq5Ui7R
|
||||||
|
|
||||||
|
QUuDpm2ZiWeJmoAIkDVmwZtgAoALgXAC3hc9fWYtmdAIsAxBjaW2ftmEAR2ecAiQ
|
||||||
|
|
||||||
|
P4FVsXZpWchnjxOcB9nSAamaf7xRwps+nUQEgBlm5Zv/xBn7YNwAIAMwTMAenAYc
|
||||||
|
|
||||||
|
AHG5Oe0quAAs5wGCAA==
|
||||||
|
```
|
||||||
|
%%
|
||||||
2702
!Załączniki/20221209102007 2022-12-09 11.06.42.excalidraw.md
Normal file
2702
!Załączniki/20221209102007 2022-12-09 11.06.42.excalidraw.md
Normal file
File diff suppressed because it is too large
Load Diff
@@ -692,6 +692,9 @@ Pou
|
|||||||
PzK
|
PzK
|
||||||
Pochodna
|
Pochodna
|
||||||
Pochodną
|
Pochodną
|
||||||
|
Przykłady
|
||||||
|
PJe
|
||||||
|
PStj
|
||||||
obj
|
obj
|
||||||
oh
|
oh
|
||||||
oq
|
oq
|
||||||
@@ -1418,6 +1421,9 @@ ovN
|
|||||||
oZf
|
oZf
|
||||||
oqn
|
oqn
|
||||||
oTa
|
oTa
|
||||||
|
ooo
|
||||||
|
oWiF
|
||||||
|
oRO
|
||||||
GoTo
|
GoTo
|
||||||
GS
|
GS
|
||||||
Gl
|
Gl
|
||||||
@@ -2080,6 +2086,8 @@ GIT
|
|||||||
GfbfJfzf
|
GfbfJfzf
|
||||||
GJFa
|
GJFa
|
||||||
GUg
|
GUg
|
||||||
|
Głowa
|
||||||
|
GDb
|
||||||
Outline
|
Outline
|
||||||
ON
|
ON
|
||||||
OD
|
OD
|
||||||
@@ -2789,6 +2797,10 @@ OKF
|
|||||||
Omó
|
Omó
|
||||||
OTy
|
OTy
|
||||||
OGB
|
OGB
|
||||||
|
ODH
|
||||||
|
OctK
|
||||||
|
ONVx
|
||||||
|
OOzU
|
||||||
endobj
|
endobj
|
||||||
endstream
|
endstream
|
||||||
ea
|
ea
|
||||||
@@ -3496,6 +3508,10 @@ ewSC
|
|||||||
eEE
|
eEE
|
||||||
eee
|
eee
|
||||||
epGpwp
|
epGpwp
|
||||||
|
ego
|
||||||
|
eBkG
|
||||||
|
emx
|
||||||
|
emZ
|
||||||
Length
|
Length
|
||||||
Link
|
Link
|
||||||
LN
|
LN
|
||||||
@@ -4174,6 +4190,7 @@ LAT
|
|||||||
LeU
|
LeU
|
||||||
LIfBfr
|
LIfBfr
|
||||||
Llq
|
Llq
|
||||||
|
LNP
|
||||||
Filter
|
Filter
|
||||||
FlateDecode
|
FlateDecode
|
||||||
Font
|
Font
|
||||||
@@ -4879,6 +4896,10 @@ Fzo
|
|||||||
FDi
|
FDi
|
||||||
FbS
|
FbS
|
||||||
FjT
|
FjT
|
||||||
|
Fale
|
||||||
|
FlB
|
||||||
|
FFlm
|
||||||
|
FST
|
||||||
stream
|
stream
|
||||||
sj
|
sj
|
||||||
sR
|
sR
|
||||||
@@ -5585,6 +5606,7 @@ sVP
|
|||||||
sHr
|
sHr
|
||||||
skończona
|
skończona
|
||||||
severe
|
severe
|
||||||
|
symbole
|
||||||
JQ
|
JQ
|
||||||
Js
|
Js
|
||||||
JX
|
JX
|
||||||
@@ -6232,6 +6254,14 @@ Jop
|
|||||||
JQA
|
JQA
|
||||||
JfC
|
JfC
|
||||||
JkW
|
JkW
|
||||||
|
JeM
|
||||||
|
Jlya
|
||||||
|
JQu
|
||||||
|
JpL
|
||||||
|
JDu
|
||||||
|
JMmT
|
||||||
|
JQJ
|
||||||
|
JRLRFJ
|
||||||
xM
|
xM
|
||||||
xw
|
xw
|
||||||
xfkW
|
xfkW
|
||||||
@@ -6951,6 +6981,7 @@ xNrq
|
|||||||
xMDhW
|
xMDhW
|
||||||
xWe
|
xWe
|
||||||
xXoJ
|
xXoJ
|
||||||
|
xXW
|
||||||
QL
|
QL
|
||||||
QW
|
QW
|
||||||
QQx
|
QQx
|
||||||
@@ -7659,6 +7690,8 @@ QEU
|
|||||||
QwZc
|
QwZc
|
||||||
QTy
|
QTy
|
||||||
QNA
|
QNA
|
||||||
|
Qbjypir
|
||||||
|
Qgu
|
||||||
fVVhM
|
fVVhM
|
||||||
fW
|
fW
|
||||||
fci
|
fci
|
||||||
@@ -8299,6 +8332,7 @@ fDtD
|
|||||||
fZQna
|
fZQna
|
||||||
fLh
|
fLh
|
||||||
frac
|
frac
|
||||||
|
fnvm
|
||||||
Bi
|
Bi
|
||||||
Border
|
Border
|
||||||
Bh
|
Bh
|
||||||
@@ -9018,6 +9052,7 @@ BOHM
|
|||||||
BJl
|
BJl
|
||||||
BoO
|
BoO
|
||||||
BwM
|
BwM
|
||||||
|
BPF
|
||||||
Trans
|
Trans
|
||||||
Type
|
Type
|
||||||
TF
|
TF
|
||||||
@@ -10408,6 +10443,9 @@ AyQ
|
|||||||
AyR
|
AyR
|
||||||
AwpppXpDpTplpBpr
|
AwpppXpDpTplpBpr
|
||||||
AhuJ
|
AhuJ
|
||||||
|
Adres
|
||||||
|
ANt
|
||||||
|
ACe
|
||||||
Subtype
|
Subtype
|
||||||
SGw
|
SGw
|
||||||
SI
|
SI
|
||||||
@@ -11783,6 +11821,9 @@ RlF
|
|||||||
RFb
|
RFb
|
||||||
Równania
|
Równania
|
||||||
Rezystor
|
Rezystor
|
||||||
|
RyJT
|
||||||
|
RDxE
|
||||||
|
Rrt
|
||||||
Navigation
|
Navigation
|
||||||
No
|
No
|
||||||
Nj
|
Nj
|
||||||
@@ -12445,6 +12486,10 @@ NrH
|
|||||||
NKpZ
|
NKpZ
|
||||||
Nzmf
|
Nzmf
|
||||||
Nlu
|
Nlu
|
||||||
|
Notacja
|
||||||
|
Nazwy
|
||||||
|
NhlE
|
||||||
|
NESCNH
|
||||||
ColorSpace
|
ColorSpace
|
||||||
Contents
|
Contents
|
||||||
Cx
|
Cx
|
||||||
@@ -13126,6 +13171,10 @@ CEBE
|
|||||||
CpH
|
CpH
|
||||||
Cewka
|
Cewka
|
||||||
Ciągłość
|
Ciągłość
|
||||||
|
Chomsky
|
||||||
|
CWP
|
||||||
|
CmAp
|
||||||
|
ChBD
|
||||||
ExtGState
|
ExtGState
|
||||||
Eu
|
Eu
|
||||||
EV
|
EV
|
||||||
@@ -13853,6 +13902,9 @@ EMC
|
|||||||
Ewqpq
|
Ewqpq
|
||||||
EQEQTQ
|
EQEQTQ
|
||||||
Elementów
|
Elementów
|
||||||
|
EIc
|
||||||
|
EIR
|
||||||
|
EEa
|
||||||
Xmo
|
Xmo
|
||||||
XB
|
XB
|
||||||
XK
|
XK
|
||||||
@@ -14556,6 +14608,7 @@ XalJlF
|
|||||||
XVg
|
XVg
|
||||||
XhKS
|
XhKS
|
||||||
XkFD
|
XkFD
|
||||||
|
XfR
|
||||||
VB
|
VB
|
||||||
Vp
|
Vp
|
||||||
VE
|
VE
|
||||||
@@ -15257,6 +15310,9 @@ VWR
|
|||||||
VxN
|
VxN
|
||||||
VoR
|
VoR
|
||||||
VUY
|
VUY
|
||||||
|
VVWG
|
||||||
|
Voh
|
||||||
|
VJF
|
||||||
in
|
in
|
||||||
iy
|
iy
|
||||||
ir
|
ir
|
||||||
@@ -16006,6 +16062,9 @@ iKg
|
|||||||
iHMH
|
iHMH
|
||||||
int
|
int
|
||||||
istnieje
|
istnieje
|
||||||
|
iIk
|
||||||
|
iXR
|
||||||
|
iNTF
|
||||||
vK
|
vK
|
||||||
vE
|
vE
|
||||||
vD
|
vD
|
||||||
@@ -16697,6 +16756,9 @@ vFGT
|
|||||||
vEmv
|
vEmv
|
||||||
vfG
|
vfG
|
||||||
vklTl
|
vklTl
|
||||||
|
vsXm
|
||||||
|
vXr
|
||||||
|
vwW
|
||||||
DXy
|
DXy
|
||||||
DB
|
DB
|
||||||
Du
|
Du
|
||||||
@@ -17391,6 +17453,8 @@ DQF
|
|||||||
DbDrD
|
DbDrD
|
||||||
Date
|
Date
|
||||||
Definicja
|
Definicja
|
||||||
|
DFN
|
||||||
|
DRz
|
||||||
dA
|
dA
|
||||||
dET
|
dET
|
||||||
dg
|
dg
|
||||||
@@ -18101,6 +18165,8 @@ drao
|
|||||||
dNd
|
dNd
|
||||||
dNI
|
dNI
|
||||||
doy
|
doy
|
||||||
|
doE
|
||||||
|
dcu
|
||||||
YI
|
YI
|
||||||
YT
|
YT
|
||||||
Yv
|
Yv
|
||||||
@@ -18777,6 +18843,8 @@ YTX
|
|||||||
YbV
|
YbV
|
||||||
YTYZYQY
|
YTYZYQY
|
||||||
Yqf
|
Yqf
|
||||||
|
YPD
|
||||||
|
YjK
|
||||||
cVuiT
|
cVuiT
|
||||||
cJ
|
cJ
|
||||||
cN
|
cN
|
||||||
@@ -19496,6 +19564,9 @@ cZQ
|
|||||||
cVy
|
cVy
|
||||||
circ
|
circ
|
||||||
cdot
|
cdot
|
||||||
|
cXf
|
||||||
|
cdR
|
||||||
|
cVRm
|
||||||
bI
|
bI
|
||||||
bx
|
bx
|
||||||
bM
|
bM
|
||||||
@@ -20209,6 +20280,8 @@ bpj
|
|||||||
bkJe
|
bkJe
|
||||||
bZm
|
bZm
|
||||||
bcbK
|
bcbK
|
||||||
|
bajt
|
||||||
|
bOo
|
||||||
jW
|
jW
|
||||||
je
|
je
|
||||||
jz
|
jz
|
||||||
@@ -21569,6 +21642,15 @@ aVh
|
|||||||
aEWX
|
aEWX
|
||||||
ask
|
ask
|
||||||
aYW
|
aYW
|
||||||
|
alfabet
|
||||||
|
abc
|
||||||
|
aaaabcccccc
|
||||||
|
aabbbc
|
||||||
|
abbccc
|
||||||
|
aaabbbccc
|
||||||
|
aZI
|
||||||
|
amTdF
|
||||||
|
aQK
|
||||||
uH
|
uH
|
||||||
uS
|
uS
|
||||||
uVn
|
uVn
|
||||||
@@ -22270,6 +22352,8 @@ umpmrmvmq
|
|||||||
ubkW
|
ubkW
|
||||||
uDW
|
uDW
|
||||||
ukT
|
ukT
|
||||||
|
uGLm
|
||||||
|
uML
|
||||||
Mh
|
Mh
|
||||||
MediaBox
|
MediaBox
|
||||||
MI
|
MI
|
||||||
@@ -23012,6 +23096,10 @@ MIs
|
|||||||
MEoqhqx
|
MEoqhqx
|
||||||
Meoyhyx
|
Meoyhyx
|
||||||
MTy
|
MTy
|
||||||
|
MHM
|
||||||
|
MRtf
|
||||||
|
Mtn
|
||||||
|
Mqg
|
||||||
lauG
|
lauG
|
||||||
lc
|
lc
|
||||||
lS
|
lS
|
||||||
@@ -23691,6 +23779,7 @@ lqD
|
|||||||
lsv
|
lsv
|
||||||
lpX
|
lpX
|
||||||
lbwb
|
lbwb
|
||||||
|
lÖ
|
||||||
Kz
|
Kz
|
||||||
KM
|
KM
|
||||||
Kw
|
Kw
|
||||||
@@ -24357,6 +24446,9 @@ KCHz
|
|||||||
KzRz
|
KzRz
|
||||||
KByy
|
KByy
|
||||||
Kondensator
|
Kondensator
|
||||||
|
KfC
|
||||||
|
KqI
|
||||||
|
KXb
|
||||||
IS
|
IS
|
||||||
ID
|
ID
|
||||||
IQT
|
IQT
|
||||||
@@ -25064,6 +25156,9 @@ IZW
|
|||||||
Igz
|
Igz
|
||||||
IJAD
|
IJAD
|
||||||
ISg
|
ISg
|
||||||
|
Inc
|
||||||
|
Ipp
|
||||||
|
IiO
|
||||||
qF
|
qF
|
||||||
qIF
|
qIF
|
||||||
qy
|
qy
|
||||||
@@ -25731,6 +25826,8 @@ qeu
|
|||||||
qXo
|
qXo
|
||||||
qmuuj
|
qmuuj
|
||||||
qIn
|
qIn
|
||||||
|
qSVOXJ
|
||||||
|
qtq
|
||||||
Wd
|
Wd
|
||||||
WKo
|
WKo
|
||||||
Wm
|
Wm
|
||||||
@@ -26389,6 +26486,7 @@ WYU
|
|||||||
WyXyRuW
|
WyXyRuW
|
||||||
WgU
|
WgU
|
||||||
WaoW
|
WaoW
|
||||||
|
WtE
|
||||||
rM
|
rM
|
||||||
ra
|
ra
|
||||||
rv
|
rv
|
||||||
@@ -27077,6 +27175,7 @@ rJl
|
|||||||
rXcSBz
|
rXcSBz
|
||||||
rHG
|
rHG
|
||||||
różniczkowalna
|
różniczkowalna
|
||||||
|
rJL
|
||||||
tI
|
tI
|
||||||
tU
|
tU
|
||||||
ta
|
ta
|
||||||
@@ -27781,6 +27880,9 @@ tBjV
|
|||||||
tyv
|
tyv
|
||||||
tEvE
|
tEvE
|
||||||
tfL
|
tfL
|
||||||
|
terminalne
|
||||||
|
tLk
|
||||||
|
tbYua
|
||||||
wo
|
wo
|
||||||
wHJ
|
wHJ
|
||||||
wKe
|
wKe
|
||||||
@@ -28467,6 +28569,8 @@ wrt
|
|||||||
wHb
|
wHb
|
||||||
wZt
|
wZt
|
||||||
warunkiem
|
warunkiem
|
||||||
|
wCx
|
||||||
|
wtM
|
||||||
pDJ
|
pDJ
|
||||||
parenleftbigg
|
parenleftbigg
|
||||||
parenrightbigg
|
parenrightbigg
|
||||||
@@ -29205,6 +29309,9 @@ pgK
|
|||||||
pVHW
|
pVHW
|
||||||
punkcie
|
punkcie
|
||||||
pain
|
pain
|
||||||
|
pomocniczy
|
||||||
|
produkcji
|
||||||
|
pJYA
|
||||||
HD
|
HD
|
||||||
Ho
|
Ho
|
||||||
Hg
|
Hg
|
||||||
@@ -29834,6 +29941,9 @@ Huw
|
|||||||
HyN
|
HyN
|
||||||
HYx
|
HYx
|
||||||
HOim
|
HOim
|
||||||
|
HLo
|
||||||
|
HsW
|
||||||
|
HJw
|
||||||
UDq
|
UDq
|
||||||
Ue
|
Ue
|
||||||
UV
|
UV
|
||||||
@@ -30513,6 +30623,11 @@ UwTo
|
|||||||
UnE
|
UnE
|
||||||
UFe
|
UFe
|
||||||
Uqac
|
Uqac
|
||||||
|
UbNM
|
||||||
|
UmV
|
||||||
|
Uxi
|
||||||
|
UAVBFG
|
||||||
|
UWM
|
||||||
yr
|
yr
|
||||||
yukC
|
yukC
|
||||||
yF
|
yF
|
||||||
@@ -31203,6 +31318,8 @@ ygzg
|
|||||||
yeaYBV
|
yeaYBV
|
||||||
yGg
|
yGg
|
||||||
yfu
|
yfu
|
||||||
|
yME
|
||||||
|
yDV
|
||||||
Zmo
|
Zmo
|
||||||
ZS
|
ZS
|
||||||
ZW
|
ZW
|
||||||
@@ -31885,6 +32002,10 @@ ZuV
|
|||||||
ZtH
|
ZtH
|
||||||
ZAZ
|
ZAZ
|
||||||
ZpS
|
ZpS
|
||||||
|
Zmg
|
||||||
|
ZÜ
|
||||||
|
ZZJ
|
||||||
|
ZsS
|
||||||
mD
|
mD
|
||||||
ma
|
ma
|
||||||
mj
|
mj
|
||||||
@@ -32597,6 +32718,11 @@ mXG
|
|||||||
mrR
|
mrR
|
||||||
mUg
|
mUg
|
||||||
mUE
|
mUE
|
||||||
|
metaalfabet
|
||||||
|
mtjh
|
||||||
|
mkk
|
||||||
|
mUQ
|
||||||
|
mUzE
|
||||||
nD
|
nD
|
||||||
nF
|
nF
|
||||||
nZ
|
nZ
|
||||||
@@ -33295,6 +33421,11 @@ nre
|
|||||||
nwopovos
|
nwopovos
|
||||||
nuMlj
|
nuMlj
|
||||||
nlpu
|
nlpu
|
||||||
|
nHagHX
|
||||||
|
njMI
|
||||||
|
noV
|
||||||
|
nMy
|
||||||
|
nKv
|
||||||
gNx
|
gNx
|
||||||
gHI
|
gHI
|
||||||
gri
|
gri
|
||||||
@@ -33985,6 +34116,9 @@ gqZ
|
|||||||
gVH
|
gVH
|
||||||
grp
|
grp
|
||||||
granicę
|
granicę
|
||||||
|
gramatyki
|
||||||
|
gas
|
||||||
|
gQZ
|
||||||
kXk
|
kXk
|
||||||
kQ
|
kQ
|
||||||
kx
|
kx
|
||||||
@@ -34676,6 +34810,10 @@ khzJ
|
|||||||
kZaCaSasaK
|
kZaCaSasaK
|
||||||
kgf
|
kgf
|
||||||
krg
|
krg
|
||||||
|
kDg
|
||||||
|
kQn
|
||||||
|
kĄ
|
||||||
|
kOL
|
||||||
üx
|
üx
|
||||||
ün
|
ün
|
||||||
ür
|
ür
|
||||||
@@ -35372,6 +35510,9 @@ hiZ
|
|||||||
hhK
|
hhK
|
||||||
hIF
|
hIF
|
||||||
hIr
|
hIr
|
||||||
|
hDgF
|
||||||
|
hzb
|
||||||
|
hDz
|
||||||
zC
|
zC
|
||||||
zZ
|
zZ
|
||||||
zZes
|
zZes
|
||||||
@@ -36080,6 +36221,10 @@ zgX
|
|||||||
zgtd
|
zgtd
|
||||||
zDfTfLf
|
zDfTfLf
|
||||||
zrzt
|
zrzt
|
||||||
|
zmiennych
|
||||||
|
zfqd
|
||||||
|
znr
|
||||||
|
zOw
|
||||||
ÜI
|
ÜI
|
||||||
Üj
|
Üj
|
||||||
ÜX
|
ÜX
|
||||||
@@ -36221,6 +36366,7 @@ zrzt
|
|||||||
Óz
|
Óz
|
||||||
ÓW
|
ÓW
|
||||||
Óg
|
Óg
|
||||||
|
Ós
|
||||||
ęH
|
ęH
|
||||||
ęP
|
ęP
|
||||||
ęe
|
ęe
|
||||||
|
|||||||
6
.obsidian/plugins/quick-latex/data.json
vendored
6
.obsidian/plugins/quick-latex/data.json
vendored
@@ -1,9 +1,9 @@
|
|||||||
{
|
{
|
||||||
"moveIntoMath_toggle": true,
|
"moveIntoMath_toggle": true,
|
||||||
"autoCloseMath_toggle": false,
|
"autoCloseMath_toggle": false,
|
||||||
"autoCloseRound_toggle": true,
|
"autoCloseRound_toggle": false,
|
||||||
"autoCloseSquare_toggle": true,
|
"autoCloseSquare_toggle": false,
|
||||||
"autoCloseCurly_toggle": true,
|
"autoCloseCurly_toggle": false,
|
||||||
"addAlignBlock_toggle": true,
|
"addAlignBlock_toggle": true,
|
||||||
"addAlignBlock_parameter": "align*",
|
"addAlignBlock_parameter": "align*",
|
||||||
"autoAlignSymbols": "= > < \\le \\ge \\neq \\approx",
|
"autoAlignSymbols": "= > < \\le \\ge \\neq \\approx",
|
||||||
|
|||||||
73
.obsidian/workspace.json
vendored
73
.obsidian/workspace.json
vendored
@@ -4,59 +4,22 @@
|
|||||||
"type": "split",
|
"type": "split",
|
||||||
"children": [
|
"children": [
|
||||||
{
|
{
|
||||||
"id": "e3f67ff91e1a0ec7",
|
"id": "d78597a825f50ab5",
|
||||||
"type": "tabs",
|
"type": "tabs",
|
||||||
"children": [
|
"children": [
|
||||||
{
|
{
|
||||||
"id": "2876d87cd78f8cc4",
|
"id": "c8e570f8081d25d8",
|
||||||
"type": "leaf",
|
"type": "leaf",
|
||||||
"state": {
|
"state": {
|
||||||
"type": "markdown",
|
"type": "markdown",
|
||||||
"state": {
|
"state": {
|
||||||
"file": "Elektrotechnika/Wykład/1 SEM/1 SEM.md",
|
"file": "Myśli nieuczesane.md",
|
||||||
"mode": "source",
|
|
||||||
"source": false
|
|
||||||
}
|
|
||||||
}
|
|
||||||
},
|
|
||||||
{
|
|
||||||
"id": "9dfa8e90ce06f6bd",
|
|
||||||
"type": "leaf",
|
|
||||||
"state": {
|
|
||||||
"type": "markdown",
|
|
||||||
"state": {
|
|
||||||
"file": "AMiAL/Wykłady/1 SEM/20221125083233.md",
|
|
||||||
"mode": "source",
|
|
||||||
"source": false
|
|
||||||
}
|
|
||||||
}
|
|
||||||
},
|
|
||||||
{
|
|
||||||
"id": "710f7c554a075e32",
|
|
||||||
"type": "leaf",
|
|
||||||
"state": {
|
|
||||||
"type": "markdown",
|
|
||||||
"state": {
|
|
||||||
"file": "AMiAL/Wykłady/1 SEM/20221202082251.md",
|
|
||||||
"mode": "source",
|
|
||||||
"source": false
|
|
||||||
}
|
|
||||||
}
|
|
||||||
},
|
|
||||||
{
|
|
||||||
"id": "8f9834f9b39c8cbc",
|
|
||||||
"type": "leaf",
|
|
||||||
"state": {
|
|
||||||
"type": "markdown",
|
|
||||||
"state": {
|
|
||||||
"file": "AMiAL/Wykłady/1 SEM/20221125083233.md",
|
|
||||||
"mode": "source",
|
"mode": "source",
|
||||||
"source": false
|
"source": false
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
],
|
]
|
||||||
"currentTab": 3
|
|
||||||
}
|
}
|
||||||
],
|
],
|
||||||
"direction": "vertical"
|
"direction": "vertical"
|
||||||
@@ -122,7 +85,7 @@
|
|||||||
"state": {
|
"state": {
|
||||||
"type": "backlink",
|
"type": "backlink",
|
||||||
"state": {
|
"state": {
|
||||||
"file": "AMiAL/Wykłady/1 SEM/20221125083233.md",
|
"file": "Myśli nieuczesane.md",
|
||||||
"collapseAll": false,
|
"collapseAll": false,
|
||||||
"extraContext": false,
|
"extraContext": false,
|
||||||
"sortOrder": "alphabetical",
|
"sortOrder": "alphabetical",
|
||||||
@@ -139,7 +102,7 @@
|
|||||||
"state": {
|
"state": {
|
||||||
"type": "outgoing-link",
|
"type": "outgoing-link",
|
||||||
"state": {
|
"state": {
|
||||||
"file": "AMiAL/Wykłady/1 SEM/20221125083233.md",
|
"file": "Myśli nieuczesane.md",
|
||||||
"linksCollapsed": false,
|
"linksCollapsed": false,
|
||||||
"unlinkedCollapsed": true
|
"unlinkedCollapsed": true
|
||||||
}
|
}
|
||||||
@@ -162,7 +125,7 @@
|
|||||||
"state": {
|
"state": {
|
||||||
"type": "outline",
|
"type": "outline",
|
||||||
"state": {
|
"state": {
|
||||||
"file": "AMiAL/Wykłady/1 SEM/20221125083233.md"
|
"file": "Myśli nieuczesane.md"
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
},
|
},
|
||||||
@@ -199,24 +162,24 @@
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
],
|
],
|
||||||
"currentTab": 4
|
"currentTab": 7
|
||||||
}
|
}
|
||||||
],
|
],
|
||||||
"direction": "horizontal",
|
"direction": "horizontal",
|
||||||
"width": 300,
|
"width": 300,
|
||||||
"collapsed": true
|
"collapsed": true
|
||||||
},
|
},
|
||||||
"active": "8f9834f9b39c8cbc",
|
"active": "c8e570f8081d25d8",
|
||||||
"lastOpenFiles": [
|
"lastOpenFiles": [
|
||||||
"AMiAL/Wykłady/1 SEM/20221202082251.md",
|
"AMiAL/Ćwiczenia/Zadania/ciagi_gr/Zadanie 1.md",
|
||||||
"AMiAL/Wykłady/1 SEM/20221021083844.md",
|
"AMiAL/!Materiały/ciagi_gr.pdf",
|
||||||
"AMiAL/Wykłady/1 SEM/20221014083923.md",
|
|
||||||
"AMiAL/Ćwiczenia/1 SEM/20221202121227.md",
|
|
||||||
"AMiAL/Wykłady/1 SEM/20221125083233.md",
|
|
||||||
"AMiAL/Wykłady/Wykłady.md",
|
|
||||||
"AMiAL/Ściągi.md",
|
|
||||||
"AMiAL/AMiAL.md",
|
"AMiAL/AMiAL.md",
|
||||||
"Elektrotechnika/Wykład/1 SEM/Prąd zmienny.md",
|
"AMiAL/!Materiały/funkcje.pdf",
|
||||||
"Elektrotechnika/!Materiały/Wykłady/Wyklad_E4_2020.pdf"
|
"AMiAL/!Materiały/li_zesp_odp.pdf",
|
||||||
|
"AMiAL/!Materiały/li_zesp.pdf",
|
||||||
|
"AMiAL/Ćwiczenia/1 SEM/20221209121051.md",
|
||||||
|
"AMiAL/Wykłady/Wykłady.md",
|
||||||
|
"AMiAL/Ćwiczenia/1 SEM/20221202121227.md",
|
||||||
|
"AMiAL/Ćwiczenia/1 SEM/20221123123903.md"
|
||||||
]
|
]
|
||||||
}
|
}
|
||||||
1
AMiAL/Wykłady/1 SEM/20221209083058.md
Normal file
1
AMiAL/Wykłady/1 SEM/20221209083058.md
Normal file
@@ -0,0 +1 @@
|
|||||||
|
Jeżeli f jest różniczkowalna i $\Delta x \ne 0$ jest przyrostem $x$ to $dy=f'(x)\Delta x$ jest różniczką
|
||||||
26
AMiAL/Ćwiczenia/1 SEM/20221209121051.md
Normal file
26
AMiAL/Ćwiczenia/1 SEM/20221209121051.md
Normal file
@@ -0,0 +1,26 @@
|
|||||||
|
6)
|
||||||
|
$$\begin{align}
|
||||||
|
y &= \frac{2}{\sqrt[6]{x^{5}}}-\frac{x}{3}+\frac{\sqrt[4]{x^{3}}}{2}
|
||||||
|
\\
|
||||||
|
y &= \frac{2}{(x^{5})^{\frac{1}{6}}}-\frac{x}{3}+\frac{(x^3)^{\frac{1}{4}}}{2}
|
||||||
|
\\
|
||||||
|
|
||||||
|
y' &= 2(x^\frac{-11}{6})^{-\frac{5}{6}}-\frac{1}{3}+\frac{1}{2}*\frac{3}{4}*x^{-\frac{1}{4}}
|
||||||
|
\\
|
||||||
|
|
||||||
|
y' &= NaN
|
||||||
|
\end{align}$$
|
||||||
|
|
||||||
|
Można wyznaczyć pochodną tej funkcji za pomocą reguły różniczkowania złożonych funkcji. W szczególności, jeśli $f$ i $g$ są dwoma funkcjami, to pochodną funkcji $y=f(g(x))$ jest
|
||||||
|
|
||||||
|
$y' = f'(g(x)) \cdot g'(x)$
|
||||||
|
|
||||||
|
Możemy zastosować tę regułę do każdego składnika funkcji wyjściowej. W tym celu najpierw policzymy pochodne poszczególnych składników funkcji:
|
||||||
|
|
||||||
|
$\frac{dy}{dx} = \frac{dy}{dx} \left(\frac{2}{\sqrt[6]{x^{5}}}-\frac{x}{3}+\frac{\sqrt[4]{x^{3}}}{2}\right)$
|
||||||
|
|
||||||
|
$= \frac{dy}{dx} \left(\frac{2}{\sqrt[6]{x^{5}}}\right) - \frac{dy}{dx} \left(\frac{x}{3}\right) + \frac{dy}{dx} \left(\frac{\sqrt[4]{x^{3}}}{2}\right)$
|
||||||
|
|
||||||
|
$= \frac{1}{(\sqrt[6]{x^{5}})^2} \cdot \frac{dy}{dx} \left(\sqrt[6]{x^{5}}\right) - \frac{1}{3} \cdot \frac{dy}{dx}(x) + \frac{1}{4} \cdot \frac{dy}{dx} \left(\sqrt[4]{x^{3}}\right)$
|
||||||
|
|
||||||
|
$= \frac{1}{(\sqrt[6]{x^{5}})^2} \cdot \frac{dy}{dx} \left(\sqrt[6]{x^{5}}\right) - \frac{1}{3} \cdot 1 + \frac{1}{4} \cdot \frac{dy}{dx} \left(\sqrt[4]{x^{3}}\right)$
|
||||||
20
Elektrotechnika/Ćwiczenia/20221209102007.md
Normal file
20
Elektrotechnika/Ćwiczenia/20221209102007.md
Normal file
@@ -0,0 +1,20 @@
|
|||||||
|
![[20221209102007 2022-12-09 10.20.56.excalidraw]]
|
||||||
|
|
||||||
|
![[20221209102007 2022-12-09 10.37.42.excalidraw]]
|
||||||
|
|
||||||
|
![[20221209102007 2022-12-09 10.46.14.excalidraw]]
|
||||||
|
|
||||||
|
![[20221209102007 2022-12-09 10.56.09.excalidraw]]
|
||||||
|
|
||||||
|
|
||||||
|
![[20221209102007 2022-12-09 11.06.42.excalidraw]]
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
Rx=Rt Et/4Rt
|
||||||
|
|
||||||
|
Et
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
# 3
|
||||||
19
Myśli nieuczesane.md
Normal file
19
Myśli nieuczesane.md
Normal file
@@ -0,0 +1,19 @@
|
|||||||
|
Co openAI ćpie:
|
||||||
|
|
||||||
|
To determine whether a sequence is monotonic, we must first determine whether the sequence is increasing or decreasing. To do this, we take the first derivative of the sequence and determine whether it is always positive, always negative, or has both positive and negative values.
|
||||||
|
|
||||||
|
For the given sequence $a_n=n^{2}-8n+15$, the first derivative is $a'_n=2n-8$. This expression is always negative for values of $n$ greater than 4, and always positive for values of $n$ less than 4. This means that the sequence is decreasing for values of $n$ greater than 4 and increasing for values of $n$ less than 4.
|
||||||
|
|
||||||
|
Therefore, the sequence is not monotonic because it is both increasing and decreasing. We can express this in LaTeX as follows:
|
||||||
|
|
||||||
|
$a_n=n^{2}-8n+15$ is not monotonic because its first derivative, $a'_n=2n-8$, has both positive and negative values.
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
The equation for adiabatic gas expansion is:
|
||||||
|
|
||||||
|
$$\frac{dU}{dt} = \frac{PdV}{dt}$$
|
||||||
|
|
||||||
|
where $U$ is the internal energy of the gas, $P$ is the pressure of the gas, and $V$ is the volume of the gas. This equation describes the change in the internal energy of the gas as it expands adiabatically, which means that there is no heat transfer between the gas and its surroundings.
|
||||||
|
|
||||||
|
$\mathbb{R}$
|
||||||
88
PI/Ćwiczenia/Gramatyki.md
Normal file
88
PI/Ćwiczenia/Gramatyki.md
Normal file
@@ -0,0 +1,88 @@
|
|||||||
|
```
|
||||||
|
date: 20221205115525
|
||||||
|
```
|
||||||
|
|
||||||
|
# Notacja Chomsky'ego:
|
||||||
|
$G=<V,\Sigma,P,\sigma>$, gdzie:
|
||||||
|
- V - symbole terminalne
|
||||||
|
- $\Sigma$ - metaalfabet - alfabet pomocniczy - symbole pomocnicze
|
||||||
|
- P - lista produkcji
|
||||||
|
- $\sigma$ - Głowa gramatyki
|
||||||
|
|
||||||
|
|
||||||
|
abc
|
||||||
|
aaaabcccccc
|
||||||
|
aabbbc
|
||||||
|
|
||||||
|
## $\begin{gathered}a^{n}b^{m}c^{k} &n,m,k\geqslant1\end{gathered}$
|
||||||
|
|
||||||
|
$G_{1}=<V_1,\Sigma_1,P_1,\sigma_1>$
|
||||||
|
$V_1 = \{a,b,c\}$
|
||||||
|
$\Sigma_1=\{\alpha,\beta,\gamma\}$
|
||||||
|
$P_1=\begin{cases}\alpha \rightarrow a\alpha \\ \alpha \rightarrow a\beta \\ \beta \rightarrow b\beta \\ \beta \rightarrow b\gamma \\ \gamma \rightarrow c\gamma \\ \gamma \rightarrow c \end{cases}$
|
||||||
|
$\sigma_1 = \alpha$
|
||||||
|
|
||||||
|
## $\begin{gathered}a^{n}b^{m}c^{n} &n,m\geqslant1\end{gathered}$
|
||||||
|
$G_{2}=<V_2,\Sigma_2,P_2,\sigma_2>$
|
||||||
|
$V_2 = \{a,b,c\}$
|
||||||
|
$\Sigma_2=\{\alpha,\beta\}$
|
||||||
|
$P_2=\begin{cases}\alpha \rightarrow a\alpha c \\ \alpha \rightarrow a\beta c \\ \beta \rightarrow b \beta \\ \beta \rightarrow b \end{cases}$
|
||||||
|
$\sigma_2 = \alpha$
|
||||||
|
|
||||||
|
## $\begin{gathered}a^{n}b^{n}c^{n} &n\geqslant 1 \end{gathered}$
|
||||||
|
$G_{3}=<V_2,\Sigma_2,P_2,\sigma_2>$
|
||||||
|
$V_3 = \{a,b,c\}$
|
||||||
|
$\Sigma_3=\{\alpha,\beta\}$
|
||||||
|
$P_3=\begin{cases}\alpha \rightarrow abc \\ \alpha \rightarrow a\alpha \beta c \\ b\beta \rightarrow bb \\ c\beta \rightarrow \beta c \end{cases}$
|
||||||
|
$\gamma = \alpha$
|
||||||
|
|
||||||
|
## Przykłady
|
||||||
|
abbccc w $G_1$
|
||||||
|
$\alpha \rightarrow^2 a\beta \rightarrow^3 ab\beta \rightarrow^4 abb\gamma \rightarrow^5 abbc\gamma \rightarrow^5 abbcc\gamma \rightarrow^6 abbccc$
|
||||||
|
|
||||||
|
Drzewo gramatyki
|
||||||
|
```
|
||||||
|
abbccc
|
||||||
|
||||||
|
||||||
|
|||||γ
|
||||||
|
||||γ
|
||||||
|
|||γ
|
||||||
|
||β
|
||||||
|
|β
|
||||||
|
α
|
||||||
|
```
|
||||||
|
|
||||||
|
aaabbbccc $a^nb^nc^n$
|
||||||
|
|
||||||
|
$\alpha \rightarrow^2 a\alpha\beta c \rightarrow^2aa\alpha\beta c\beta c\rightarrow^1 aaabc\beta c\beta cc \rightarrow^{4,4} aaab\beta c\beta cc \rightarrow^4 aaab\beta\beta cc \rightarrow^3 aaabb\beta ccc\rightarrow^3 aaabbbccc$
|
||||||
|
|
||||||
|
# Notacja BNF:
|
||||||
|
$V={a,b,c}$
|
||||||
|
$\Sigma = \{<\alpha>,<\beta>\}$
|
||||||
|
$P = \begin{gathered}\{<\alpha>::= a<\alpha>c|a<\beta>c \\ <\beta>::= a \}\end{gathered}$
|
||||||
|
|
||||||
|
|
||||||
|
### Nazwy zmiennych:
|
||||||
|
$$\begin{gathered}
|
||||||
|
V=\{a..z,A..Z,0..9\} \\
|
||||||
|
\Sigma = \{<ident>,<litera>,<cyfra>\} \\
|
||||||
|
P=\{<ident>::=<litera>|<ident><litera>|<ident><cyfra>\\
|
||||||
|
<ident>::=a|..|z|A|..|Z \\
|
||||||
|
<cyfra>::=0|..|9 \} \\
|
||||||
|
\sigma = <ident>
|
||||||
|
\end{gathered}$$
|
||||||
|
|
||||||
|
|
||||||
|
### Adres IP
|
||||||
|
V={0..9,.}
|
||||||
|
Σ = {<IP>, <bajt>, <l1>,<l2>,<l3>, <0-9>
|
||||||
|
P={<IP>::=<bajt>.<bajt>.<bajt>.<bajt>
|
||||||
|
<bajt>::=<l1>|<l2>|<l3>
|
||||||
|
<l1>::=<0-9>
|
||||||
|
<0-9>::=0|<1-9>
|
||||||
|
<l2>::=<1-9><0-9>
|
||||||
|
<1-9>::=1|..|9
|
||||||
|
<l3>::=1<0-9><0-9>|2<0-4><0-9>|25<0-5>
|
||||||
|
<0-4>::=0|1|2|3|4
|
||||||
|
<0-5>::=5|<0-4>}
|
||||||
|
σ=<IP>
|
||||||
Reference in New Issue
Block a user