diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 47b76f4..23fe5c3 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -12,8 +12,8 @@ "checkpointList": [ { "path": "/", - "date": "2022-01-06", - "size": 639961 + "date": "2022-01-07", + "size": 640626 } ], "activityHistory": [ @@ -21,268 +21,8 @@ "path": "/", "size": [ { - "date": "2021-09-11", - "value": 881 - }, - { - "date": "2021-09-12", - "value": 117 - }, - { - "date": "2021-09-13", - "value": 1256 - }, - { - "date": "2021-09-14", - "value": 2350 - }, - { - "date": "2021-09-15", - "value": 2658 - }, - { - "date": "2021-09-16", - "value": 2379 - }, - { - "date": "2021-09-17", - "value": 2958 - }, - { - "date": "2021-09-20", - "value": 3532 - }, - { - "date": "2021-09-21", - "value": 504 - }, - { - "date": "2021-09-22", - "value": 1326 - }, - { - "date": "2021-09-23", - "value": 1170 - }, - { - "date": "2021-09-24", - "value": 2420 - }, - { - "date": "2021-09-29", - "value": 2117 - }, - { - "date": "2021-09-30", - "value": 3672 - }, - { - "date": "2021-10-01", - "value": 4392 - }, - { - "date": "2021-10-04", - "value": 3088 - }, - { - "date": "2021-10-05", - "value": 0 - }, - { - "date": "2021-10-06", - "value": 0 - }, - { - "date": "2021-10-10", - "value": 4296 - }, - { - "date": "2021-10-11", - "value": 2247 - }, - { - "date": "2021-10-12", - "value": 0 - }, - { - "date": "2021-10-13", - "value": 321 - }, - { - "date": "2021-10-14", - "value": 1265 - }, - { - "date": "2021-10-15", - "value": 2347 - }, - { - "date": "2021-10-19", - "value": 1661 - }, - { - "date": "2021-10-21", - "value": 12918 - }, - { - "date": "2021-10-22", - "value": 12 - }, - { - "date": "2021-10-23", - "value": 0 - }, - { - "date": "2021-10-24", - "value": 0 - }, - { - "date": "2021-10-25", - "value": 140 - }, - { - "date": "2021-11-01", - "value": 16800 - }, - { - "date": "2021-11-02", - "value": 0 - }, - { - "date": "2021-11-04", - "value": 112719 - }, - { - "date": "2021-11-05", - "value": 1875 - }, - { - "date": "2021-11-06", - "value": 0 - }, - { - "date": "2021-11-07", - "value": 1870 - }, - { - "date": "2021-11-08", - "value": 6153 - }, - { - "date": "2021-11-12", - "value": 6702 - }, - { - "date": "2021-11-15", - "value": 322 - }, - { - "date": "2021-11-16", - "value": 0 - }, - { - "date": "2021-11-18", - "value": 1515 - }, - { - "date": "2021-11-19", - "value": 60229 - }, - { - "date": "2021-11-20", - "value": 303 - }, - { - "date": "2021-11-21", - "value": 0 - }, - { - "date": "2021-11-23", - "value": 2470 - }, - { - "date": "2021-11-24", - "value": 3475 - }, - { - "date": "2021-11-25", - "value": 1703 - }, - { - "date": "2021-11-26", - "value": 345395 - }, - { - "date": "2021-11-29", - "value": 0 - }, - { - "date": "2021-11-30", - "value": 472 - }, - { - "date": "2021-12-01", - "value": 0 - }, - { - "date": "2021-12-02", - "value": 1397 - }, - { - "date": "2021-12-03", - "value": 10913 - }, - { - "date": "2021-12-04", - "value": 0 - }, - { - "date": "2021-12-06", - "value": 2982 - }, - { - "date": "2021-12-07", - "value": 385 - }, - { - "date": "2021-12-08", - "value": 966 - }, - { - "date": "2021-12-09", - "value": 2868 - }, - { - "date": "2021-12-10", - "value": 4093 - }, - { - "date": "2021-12-11", - "value": 0 - }, - { - "date": "2021-12-14", - "value": 1406 - }, - { - "date": "2021-12-15", - "value": 3717 - }, - { - "date": "2021-12-16", - "value": 773 - }, - { - "date": "2021-12-17", - "value": 1071 - }, - { - "date": "2022-01-05", - "value": 12358 - }, - { - "date": "2022-01-06", - "value": 87 + "date": "2022-01-07", + "value": 505 } ] } diff --git a/notes/mat/Lomené výrazy.md b/notes/mat/Lomené výrazy.md new file mode 100644 index 0000000..4c735ca --- /dev/null +++ b/notes/mat/Lomené výrazy.md @@ -0,0 +1,24 @@ +# Lomené výrazy +- výraz ve tvaru zlomku +## Podmínky +Nelze dělit všemi čísly => u lomených výrazů musíme stanovit podmínky, aby jmenovatel nebyl roven nule. + +$$ +\frac{\frac{3x}{x+1}}{\frac{2x+1}{x-3}} +$$ +$$ +x \neq -1; x \neq 3; x \neq - \frac{1}{2} +$$ +## Krácení a rozšiřování lomených výrazů +Lze krátit jen násobení a dělení, ne sčítání a odčítání. + +Pro libovolné výrazy $v_1$, $v_2$, $v_3$ +$$ +\frac{v_1 * v_3}{v_2 * v_3} = \frac{v_1}{v_2} +$$ +$$ +\xRightarrow{krácení} +$$ +$$ +\xLeftarrow{rozšiřování} +$$ diff --git a/notes/mat/Mnohočlen.md b/notes/mat/Mnohočlen.md index 51621c3..bd6f0e6 100644 --- a/notes/mat/Mnohočlen.md +++ b/notes/mat/Mnohočlen.md @@ -1,5 +1,5 @@ # Mnohočlen - +Pouze přirozená čísla v exponentech. $$ (x^3 - 2x + 3) * (x^4 - 3x^2 + 5x) = x^7 - 3x^5 + 5x^4 - 2x^5 + 6x^3 - 10x^2 + 3x^4 - 9x^2 + 15x = x^7 - 5x^5 + 8x^4 + 6x^3 + 19x^2 + 15x $$ diff --git a/notes/mat/mat.md b/notes/mat/mat.md index c4dfd2e..676f4e5 100644 --- a/notes/mat/mat.md +++ b/notes/mat/mat.md @@ -11,6 +11,7 @@ imagePrefix: 'data/' - [[mat/Číselné soustavy|Číselné soustavy]] - [[mat/Druhá odmocnina|Druhá odmocnina]] - [[mat/Intervaly|Intervaly]] +- [[mat/Lomené výrazy|Lomené výrazy]] - [[mat/Matematika|Matematika]] - [[mat/Mnohočlen|Mnohočlen]] - [[mat/Množiny|Množiny]]