From 2aae24466f24bc366e67238918f92925f3777183 Mon Sep 17 00:00:00 2001 From: songyc macbook Date: Thu, 6 Aug 2026 02:00:47 +0900 Subject: [PATCH] =?UTF-8?q?=EB=A3=A8=ED=8A=B8=20=EC=A0=95=EB=A6=AC:=20?= =?UTF-8?q?=EB=B6=84=EB=A6=AC=20=EC=A0=84=20=EC=9E=94=EC=9E=AC(=5Farchive?= =?UTF-8?q?=C2=B7=EC=98=9B=20logseq=20=EC=84=A4=EC=A0=95=C2=B7=EB=B9=88=20?= =?UTF-8?q?=ED=8F=B4=EB=8D=94)=20=EC=A0=9C=EA=B1=B0=20=E2=80=94=20before-g?= =?UTF-8?q?raph-split=20=ED=83=9C=EA=B7=B8=EB=A1=9C=20=EB=B3=B5=EC=9B=90?= =?UTF-8?q?=20=EA=B0=80=EB=8A=A5?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-Authored-By: Claude Fable 5 Claude-Session: https://claude.ai/code/session_01G8rNxLqi5rYjRamC8uwiJW --- CLAUDE.md | 2 +- _archive/๐Ÿ“‹ Index Page.md | 3 - ...e8c65-1877-4d91-b2ca-bc86e9ecaaab_1785629797597.png | Bin 72567 -> 0 bytes ...e8c6b-ce0b-487c-aa3d-6004f5f26887_1785629802910.png | Bin 62053 -> 0 bytes .../.recycle/assets_image_1748951222987_0.png | Bin 45191 -> 0 bytes .../.recycle/assets_image_1749027826746_0.png | Bin 36031 -> 0 bytes .../.recycle/assets_image_1749027899133_0.png | Bin 34054 -> 0 bytes .../.recycle/assets_image_1749298473963_0.png | Bin 70906 -> 0 bytes .../.recycle/assets_image_1749640474454_0.png | Bin 75973 -> 0 bytes .../.recycle/assets_image_1749641254750_0.png | Bin 97301 -> 0 bytes .../.recycle/assets_image_1749643277298_0.png | Bin 74883 -> 0 bytes .../.recycle/assets_image_1750429155669_0.png | Bin 43331 -> 0 bytes .../.recycle/assets_image_1750432329258_0.png | Bin 85076 -> 0 bytes .../.recycle/assets_image_1751107742290_0.png | Bin 43994 -> 0 bytes .../.recycle/assets_image_1766742278234_0.png | Bin 83028 -> 0 bytes logseq/.recycle/pages_1์žฅ ๋ฐฑํ„ฐ์™€ ํ–‰๋ ฌ.md | 168 ------- logseq/.recycle/pages_2์žฅ ์„ ํ˜•๋ฐฉ์ •์‹ ํ’€๊ธฐ.md | 3 - logseq/.recycle/pages_First Page.md | 26 - logseq/.recycle/pages_Index Page.md | 4 - logseq/.recycle/pages_card.md | 1 - logseq/.recycle/pages_contents.md | 1 - logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜ 1๊ฐ•.md | 2 - logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜(์„ฑ์ •ํ˜œ).md | 2 - .../pages_์•Œ๊ณ ๋ฆฌ์ฆ˜ ๊ธฐ๋ฒ• ๋ฐ ์ž๋ฃŒ๊ตฌ์กฐ.md | 4 - logseq/.recycle/pages_์ž๋ฃŒ๊ตฌ์กฐ.md | 3 - logseq/.recycle/pages_์ „๊ณต๊ณต๋ถ€.md | 1 - .../.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท.md | 283 ----------- .../pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซ.md | 1 - .../pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซแ„‹แ…ตแ„Œแ…ฅแ†ซ.md | 31 -- logseq/config.edn | 443 ------------------ logseq/custom.css | 5 - 31 files changed, 1 insertion(+), 982 deletions(-) delete mode 100755 _archive/๐Ÿ“‹ Index Page.md delete mode 100755 logseq/.recycle/assets_3์žฅ_4๊ฐ€์ง€_๊ธฐ๋ณธ_๋ถ€๋ถ„๊ณต๊ฐ„_1785222523974_0_9_6a6e8c65-1877-4d91-b2ca-bc86e9ecaaab_1785629797597.png delete mode 100755 logseq/.recycle/assets_3์žฅ_4๊ฐ€์ง€_๊ธฐ๋ณธ_๋ถ€๋ถ„๊ณต๊ฐ„_1785222523974_0_9_6a6e8c6b-ce0b-487c-aa3d-6004f5f26887_1785629802910.png delete mode 100755 logseq/.recycle/assets_image_1748951222987_0.png delete mode 100755 logseq/.recycle/assets_image_1749027826746_0.png delete mode 100755 logseq/.recycle/assets_image_1749027899133_0.png delete mode 100755 logseq/.recycle/assets_image_1749298473963_0.png delete mode 100755 logseq/.recycle/assets_image_1749640474454_0.png delete mode 100755 logseq/.recycle/assets_image_1749641254750_0.png delete mode 100755 logseq/.recycle/assets_image_1749643277298_0.png delete mode 100755 logseq/.recycle/assets_image_1750429155669_0.png delete mode 100755 logseq/.recycle/assets_image_1750432329258_0.png delete mode 100755 logseq/.recycle/assets_image_1751107742290_0.png delete mode 100755 logseq/.recycle/assets_image_1766742278234_0.png delete mode 100755 logseq/.recycle/pages_1์žฅ ๋ฐฑํ„ฐ์™€ ํ–‰๋ ฌ.md delete mode 100755 logseq/.recycle/pages_2์žฅ ์„ ํ˜•๋ฐฉ์ •์‹ ํ’€๊ธฐ.md delete mode 100755 logseq/.recycle/pages_First Page.md delete mode 100755 logseq/.recycle/pages_Index Page.md delete mode 100755 logseq/.recycle/pages_card.md delete mode 100755 logseq/.recycle/pages_contents.md delete mode 100755 logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜ 1๊ฐ•.md delete mode 100755 logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜(์„ฑ์ •ํ˜œ).md delete mode 100755 logseq/.recycle/pages_์•Œ๊ณ ๋ฆฌ์ฆ˜ ๊ธฐ๋ฒ• ๋ฐ ์ž๋ฃŒ๊ตฌ์กฐ.md delete mode 100755 logseq/.recycle/pages_์ž๋ฃŒ๊ตฌ์กฐ.md delete mode 100755 logseq/.recycle/pages_์ „๊ณต๊ณต๋ถ€.md delete mode 100755 logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท.md delete mode 100755 logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซ.md delete mode 100755 logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซแ„‹แ…ตแ„Œแ…ฅแ†ซ.md delete mode 100755 logseq/config.edn delete mode 100755 logseq/custom.css diff --git a/CLAUDE.md b/CLAUDE.md index 9122750..5d08133 100755 --- a/CLAUDE.md +++ b/CLAUDE.md @@ -12,7 +12,7 @@ disable-anki-sync:: true - `Major Study/` โ€” ์ „๊ณต (์ŠคํŠธ๋žญ ์„ ํ˜•๋Œ€์ˆ˜ํ•™). Anki ํ”„๋กœํŒŒ์ผ **Major Study** - ๊ฐ ๊ทธ๋ž˜ํ”„๋Š” ์ž๊ธฐ `pages/ assets/ logseq/ journals/`๋ฅผ ๊ฐ€์ง„๋‹ค. **๊ทธ๋ž˜ํ”„ ๊ฐ„ `[[๋งํฌ]]`ยท`((uuid))` ์ฐธ์กฐ๋Š” ๋ถˆ๊ฐ€๋Šฅ**ํ•˜๋‹ค. - **Anki ๋™๊ธฐํ™” ๊ทœ์น™**: ๊ทธ๋ž˜ํ”„โ†”ํ”„๋กœํŒŒ์ผ 1:1. ํ”Œ๋Ÿฌ๊ทธ์ธ์€ "๊ทธ ์ˆœ๊ฐ„ Anki์— ์—ด๋ ค ์žˆ๋Š” ํ”„๋กœํŒŒ์ผ"์— ์‹ฑํฌํ•˜๋ฏ€๋กœ, **์‹ฑํฌ ์ „์— ๋ฐ˜๋“œ์‹œ ์ง์ด ๋งž๋Š” ํ”„๋กœํŒŒ์ผ์ด ์—ด๋ ค ์žˆ๋Š”์ง€ ํ™•์ธ**ํ•œ๋‹ค (Claude๊ฐ€ AnkiConnect `deckNames`๋กœ ํ™•์ธ ๊ฐ€๋Šฅ). ์‹ฑํฌ ๋ฏธ๋ฆฌ๋ณด๊ธฐ์—์„œ **create/delete๊ฐ€ 0์ด ์•„๋‹ˆ๋ฉด ์ง„ํ–‰ ๊ธˆ์ง€** (์ž˜๋ชป๋œ ํ”„๋กœํŒŒ์ผ ์‹ ํ˜ธ). ํ”„๋กœํŒŒ์ผ์„ ๋‚˜๋ˆˆ ์ด์œ : ํ”Œ๋Ÿฌ๊ทธ์ธ์ด "ํ˜„์žฌ ๊ทธ๋ž˜ํ”„์— ์—†๋Š” ์นด๋“œ = ์‚ญ์ œ ๋Œ€์ƒ"์œผ๋กœ ์ทจ๊ธ‰ํ•ด, ํ•œ ํ”„๋กœํŒŒ์ผ์„ ๊ณต์œ ํ•˜๋ฉด ์„œ๋กœ์˜ ์นด๋“œ๋ฅผ ์ง€์šฐ๋ ค ๋“ค๊ธฐ ๋•Œ๋ฌธ. -- ๋ฃจํŠธ์˜ `_archive/`(์˜› Index Page), `logseq/`(์˜› ๊ทธ๋ž˜ํ”„ ํœด์ง€ํ†ตยท๋ฐฑ์—… ์ž”์žฌ), ๋นˆ `pages/ assets/ journals/`๋Š” ๋ถ„๋ฆฌ ์ „ ์ž”์žฌ๋‹ค. ๊ฑด๋“œ๋ฆฌ์ง€ ์•Š๋Š”๋‹ค. +- ์ €์žฅ์†Œ ๋ฃจํŠธ์—๋Š” ๊ทธ๋ž˜ํ”„ ํด๋” 3๊ฐœ์™€ `CLAUDE.md`, `.gitignore`, `.claude/`๋งŒ ๋‘”๋‹ค (๋ถ„๋ฆฌ ์ „ ์ž”์žฌ๋Š” 2026-08-06 ์ •๋ฆฌ โ€” ์˜› Index Pageยท์„ค์ • ๋“ฑ์€ ํƒœ๊ทธ `before-graph-split`์—์„œ ๋ณต์› ๊ฐ€๋Šฅ). - ## ์ž‘์—… ํ๋ฆ„ (์ค‘์š”) id:: 6a5cd2bb-6915-4aec-bfb8-88d45154e0ef diff --git a/_archive/๐Ÿ“‹ Index Page.md b/_archive/๐Ÿ“‹ Index Page.md deleted file mode 100755 index ce2668d..0000000 --- a/_archive/๐Ÿ“‹ Index Page.md +++ /dev/null @@ -1,3 +0,0 @@ -- [[๐Ÿ”ค ์˜์–ด๊ณต๋ถ€]] -- [[๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ป์ฝ”๋”ฉ ์ง€์‹_ํŒ ์ •๋ฆฌ]] -- [[๐Ÿ“š์ „๊ณต๊ณต๋ถ€]] \ No newline at end of file diff --git a/logseq/.recycle/assets_3์žฅ_4๊ฐ€์ง€_๊ธฐ๋ณธ_๋ถ€๋ถ„๊ณต๊ฐ„_1785222523974_0_9_6a6e8c65-1877-4d91-b2ca-bc86e9ecaaab_1785629797597.png b/logseq/.recycle/assets_3์žฅ_4๊ฐ€์ง€_๊ธฐ๋ณธ_๋ถ€๋ถ„๊ณต๊ฐ„_1785222523974_0_9_6a6e8c65-1877-4d91-b2ca-bc86e9ecaaab_1785629797597.png deleted file mode 100755 index d9113479569b6a61ebaec7d45f175f259dc6a5c8..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 72567 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ํ–‰๋ ฌOCR.pdf](../assets/1์žฅ_๋ฒกํ„ฐ์™€_ํ–‰๋ ฌOCR_1784291728493_0.pdf) -- -- ## 1.1 ๋ฒกํ„ฐ์™€ ์„ ํ˜•๊ฒฐํ•ฉ - - **์„ ํ˜•๋Œ€์ˆ˜ํ•™**์€ ๋ฒกํ„ฐ $v$์™€ ํ–‰๋ ฌ $A$์— ๊ด€ํ•œ ํ•™๋ฌธ์ด๋‹ค. ์ถœ๋ฐœ์ ์€ ๋‘ ๋ฒกํ„ฐ์˜ **์„ ํ˜•๊ฒฐํ•ฉ(linear combination)** $cv + dw$ ์ด๋‹ค. - - ๊ธฐ๋ณธ ์—ฐ์‚ฐ์€ ๋‹จ 2๊ฐ€์ง€: **๋ฒกํ„ฐ ๋ง์…ˆ** $v+w$, **์Šค์นผ๋ผ ๊ณฑ** $cv$ โ†’ ์ด ๋‘˜์„ ํ•ฉ์นœ ๊ฒƒ์ด ์„ ํ˜•๊ฒฐํ•ฉ $cv+dw$. - - ๐Ÿ’ก ๋ฏธ๋ถ„์ ๋ถ„ํ•™์ด "์ˆ˜์™€ ํ•จ์ˆ˜ $f(x)$"์—์„œ ์‹œ์ž‘ํ•œ๋‹ค๋ฉด, ์„ ํ˜•๋Œ€์ˆ˜ํ•™์€ "๋ฒกํ„ฐ์™€ ์„ ํ˜•๊ฒฐํ•ฉ"์—์„œ ์‹œ์ž‘ํ•œ๋‹ค. ์ด ์žฅ์˜ ๋ชจ๋“  ๋‚ด์šฉ($Ax$, ์—ด๊ณต๊ฐ„, ํ–‰๋ ฌ๊ณฑ, $CR$)์ด ๊ฒฐ๊ตญ ์ „๋ถ€ "์„ ํ˜•๊ฒฐํ•ฉ"์ด๋ผ๋Š” ํ•œ ๋‹จ์–ด๋กœ ๊ฟฐ์–ด์ง„๋‹ค. - - **๋‘ ๊ฐ€์ง€ ํ•ต์‹ฌ ์งˆ๋ฌธ** โ€” ์ด ์ฑ… ์ „์ฒด๋ฅผ ๊ด€ํ†ตํ•˜๋Š” ์งˆ๋ฌธ - - โ‘  ๋ชจ๋“  ์„ ํ˜•๊ฒฐํ•ฉ $cv + dw$ ๋Š” ๋ฌด์—‡์„ ์ฑ„์šฐ๋Š”๊ฐ€? (์ง์„ ? ํ‰๋ฉด? ๊ณต๊ฐ„ ์ „์ฒด?) - - โ‘ก ํŠน์ • ๋ฒกํ„ฐ $b$ ๋ฅผ ๋งŒ๋“œ๋Š” ์ˆ˜ $c, d$ ๋ฅผ ์ฐพ์„ ์ˆ˜ ์žˆ๋Š”๊ฐ€? โ†’ ์—ฐ๋ฆฝ๋ฐฉ์ •์‹ $cv + dw = b$ ํ’€๊ธฐ - - ๐Ÿ’ก โ‘ ์€ ๋‚˜์ค‘์— "์—ด๊ณต๊ฐ„"(1.3์ ˆ), โ‘ก๋Š” "$Ax=b$ ํ’€๊ธฐ"(2์žฅ ์˜ˆ๊ณ )๋กœ ์ด๋ฆ„์ด ๋ฐ”๋€Œ์–ด ๊ณ„์† ๋“ฑ์žฅํ•œ๋‹ค. - - **2์ฐจ์›์—์„œ์˜ ๋‹ต** ($\mathbb{R}^2$) - - $v, w$ ๊ฐ€ (์˜๋ฒกํ„ฐ๊ฐ€ ์•„๋‹ˆ๊ณ ) ๊ฐ™์€ ์ง์„  ์œ„์— ์žˆ์ง€ ์•Š์œผ๋ฉด โ†’ **์„ ํ˜•๋…๋ฆฝ(linearly independent)**. ์„ ํ˜•๊ฒฐํ•ฉ์ด $xy$-ํ‰๋ฉด ์ „์ฒด๋ฅผ ์ฑ„์šฐ๊ณ , $cv+dw=b$ ์˜ ํ•ด๊ฐ€ **์ •ํ™•ํžˆ ํ•˜๋‚˜** ์กด์žฌํ•œ๋‹ค. (์ด๋•Œ ํ–‰๋ ฌ $A=[v\ w]$ ์˜ ์—ญํ–‰๋ ฌ์ด ์กด์žฌ) - - $v, w$ ๊ฐ€ ์›์ ์„ ์ง€๋‚˜๋Š” ๊ฐ™์€ ์ง์„  ์œ„์— ์žˆ์œผ๋ฉด โ†’ **์„ ํ˜•์ข…์†(linearly dependent)**. ์„ ํ˜•๊ฒฐํ•ฉ์€ ๊ทธ ์ง์„ ๋งŒ ์ฑ„์šฐ๊ณ , $b$ ๊ฐ€ ์ง์„  ๋ฐ–์ด๋ฉด ํ•ด๊ฐ€ ์—†๋‹ค. - - โš ๏ธ ์†Œ๊ฑฐ๋ฒ•์ด "์‹คํŒจ"ํ•˜๋Š” ๊ฒƒ์€ ๊ณ„์‚ฐ ์‹ค์ˆ˜๊ฐ€ ์•„๋‹ˆ๋ผ **ํ•ด๊ฐ€ ์›๋ž˜ ์—†๊ธฐ ๋•Œ๋ฌธ**์ด๋‹ค. ๋ฏธ์ง€์ˆ˜ ํ•˜๋‚˜๋ฅผ ์†Œ๊ฑฐํ•˜๋ ค๋‹ค ๋‘˜ ๋‹ค ์†Œ๊ฑฐ๋˜์–ด $0 = (\text{0์ด ์•„๋‹Œ ์ˆ˜})$ ๊ผด์˜ ๋ชจ์ˆœ์ด ๋‚˜์˜ค๋Š” ๊ฒฝ์šฐ. - - โš ๏ธ ์ฒซ ๋ฐฉ์ •์‹์˜ ๊ณ„์ˆ˜๊ฐ€ 0์ด์–ด์„œ ์†Œ๊ฑฐ๋ฅผ ์‹œ์ž‘ํ•˜๊ธฐ ์–ด๋ ค์›Œ ๋ณด์ด๋ฉด โ†’ ๋ฐฉ์ •์‹์˜ **์ˆœ์„œ๋ฅผ ๋ฐ”๊พธ๋ฉด** ๋œ๋‹ค (ํ•ด๊ฐ€ ์—†๋Š” ๊ฒƒ์ด ์•„๋‹˜). - - **์—ฐ๋ฆฝ๋ฐฉ์ •์‹์„ ๋ณด๋Š” 3๊ฐ€์ง€ ๊ด€์ ** (๊ฐ™์€ ๋ฌธ์ œ, ๋‹ค๋ฅธ ์‹œ๊ฐ) - - ํ–‰ ๋ฐฉ๋ฒ•: $c, d$ ์— ๋Œ€ํ•œ ๋‘ ๋ฐฉ์ •์‹ (๊ฐ ํ–‰ = ๋ฐฉ์ •์‹ ํ•˜๋‚˜) - - ์—ด ๋ฐฉ๋ฒ•: ์—ด๋ฒกํ„ฐ์˜ ์„ ํ˜•๊ฒฐํ•ฉ $cv + dw = b$ - - ํ–‰๋ ฌ ๋ฐฉ๋ฒ•: $A\begin{bmatrix}c\\d\end{bmatrix} = b$ - - ๐Ÿ’ก ์ด ์ฑ…์€ ์ผ๊ด€๋˜๊ฒŒ **์—ด ๋ฐฉ๋ฒ•(์„ ํ˜•๊ฒฐํ•ฉ)์˜ ๊ด€์ **์„ ๋ฐ€๊ณ  ๋‚˜๊ฐ„๋‹ค. ํ–‰ ๋ฐฉ๋ฒ•์€ ๊ณ„์‚ฐ์šฉ, ์—ด ๋ฐฉ๋ฒ•์€ ์ดํ•ด์šฉ. - - **3์ฐจ์›** ($\mathbb{R}^3$) - - ๋ฒกํ„ฐ 2๊ฐœ(์„ ํ˜•๋…๋ฆฝ)์˜ ์„ ํ˜•๊ฒฐํ•ฉ์€ ๊ธฐ๊ปํ•ด์•ผ ์›์ ์„ ์ง€๋‚˜๋Š” **ํ‰๋ฉด**์„ ์ฑ„์šด๋‹ค. ๊ณต๊ฐ„ ์ „์ฒด๋ฅผ ์ฑ„์šฐ๋ ค๋ฉด **์„ ํ˜•๋…๋ฆฝ์ธ ๋ฒกํ„ฐ 3๊ฐœ**๊ฐ€ ํ•„์š”ํ•˜๋‹ค. - - โš ๏ธ ๋ฒกํ„ฐ 2๊ฐœ๊ฐ€ $\mathbb{R}^3$๋ฅผ ๋ชป ์ฑ„์šฐ๋Š” ๊ฒƒ์€ ์ข…์†์ด๋ผ์„œ๊ฐ€ ์•„๋‹ˆ๋ผ **๊ฐœ์ˆ˜๊ฐ€ ๋ถ€์กฑ**ํ•ด์„œ๋‹ค. ๋…๋ฆฝ/์ข…์† ๋ฌธ์ œ์™€ ๊ฐœ์ˆ˜ ๋ฌธ์ œ๋ฅผ ๊ตฌ๋ถ„ํ•  ๊ฒƒ. - - ๊ฐ€์žฅ ๊ฐ„๋‹จํ•œ ์˜ˆ: ํ‘œ์ค€๋‹จ์œ„๋ฒกํ„ฐ $i=(1,0,0),\ j=(0,1,0),\ k=(0,0,1)$ โ†’ $ci+dj+ek=(c,d,e)$ - - **ํ•ญ๋“ฑํ–‰๋ ฌ(identity matrix)** $I$: ์ฃผ๋Œ€๊ฐ์„ฑ๋ถ„์ด ๋ชจ๋‘ 1, ๋‚˜๋จธ์ง€๋Š” 0. ๋ชจ๋“  ๋ฒกํ„ฐ์— ๋Œ€ํ•ด $Iv = v$ (์ˆซ์ž 1์˜ ์—ญํ• ). - - ์ฐจ์›์ด ๋‹ค๋ฅธ ๋ฒกํ„ฐ๋ผ๋ฆฌ๋Š”(2์ฐจ์› $v$์™€ 3์ฐจ์› $w$) ์„ ํ˜•๊ฒฐํ•ฉ์„ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค. - - ๋‘ ๋…๋ฆฝ ๋ฒกํ„ฐ์˜ ์„ ํ˜•๊ฒฐํ•ฉ ์ „์ฒด๊ฐ€ "ํ‰๋ฉด"์ด ๋˜๋Š” ๊ทผ๊ฑฐ: ๊ทธ ์œ„ ์ž„์˜์˜ ๋‘ ์ (๋‘ ์„ ํ˜•๊ฒฐํ•ฉ)์˜ ์ค‘์ ๋„ ๋‹ค์‹œ ์„ ํ˜•๊ฒฐํ•ฉ์ด๋ฏ€๋กœ ๊ฐ™์€ ํ‘œ๋ฉด ์œ„์— ์žˆ๋‹ค โ†’ ํ‰๋ฉด์˜ ๊ธฐ๋ณธ ์„ฑ์งˆ์„ ๋งŒ์กฑ. (๋” ์—„๋ฐ€ํ•œ ๋…ผ์ฆ์€ 1.2์ ˆ์˜ ๋ฒ•์„ ๋ฒกํ„ฐ๋กœ) - - ### โ“ ์Šค์Šค๋กœ ์ ๊ฒ€ (1.1) - - $v, w$๊ฐ€ ์„ ํ˜•๋…๋ฆฝ์ผ ๋•Œ $cv+dw=b$์˜ ํ•ด๊ฐ€ "์กด์žฌ"ํ•  ๋ฟ ์•„๋‹ˆ๋ผ "์œ ์ผ"ํ•˜๊ธฐ๊นŒ์ง€ ํ•œ ์ด์œ ๋Š”? - - ์„ ํ˜•๊ฒฐํ•ฉ์ด ํ‰๋ฉด ์ „์ฒด๋ฅผ ์ฑ„์šฐ๋ฏ€๋กœ ํ•ด๊ฐ€ ์กด์žฌํ•˜๊ณ , ๋งŒ์•ฝ ๋‘ ์Œ $(c,d) \neq (c',d')$์ด ๊ฐ™์€ $b$๋ฅผ ๋งŒ๋“ค๋ฉด ๊ทธ ์ฐจ์ด๊ฐ€ $v, w$์˜ ์ž๋ช…ํ•˜์ง€ ์•Š์€ ์„ ํ˜•๊ฒฐํ•ฉ์œผ๋กœ ์˜๋ฒกํ„ฐ๋ฅผ ๋งŒ๋“ค๊ฒŒ ๋˜์–ด ๋…๋ฆฝ์ด๋ผ๋Š” ๊ฐ€์ •์— ๋ชจ์ˆœ. - - ์„ธ ๋ฒกํ„ฐ $v, w, z$์—์„œ $z = v + w$๋ผ๋ฉด, ์„ธ ๋ฒกํ„ฐ์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด ์ฑ„์šฐ๋Š” ์˜์—ญ์€ $v, w$ ๋‘˜๋งŒ์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด ์ฑ„์šฐ๋Š” ์˜์—ญ๊ณผ ๋น„๊ตํ•ด ์–ด๋–ป๊ฒŒ ๋˜๋Š”๊ฐ€? - - ๋˜‘๊ฐ™๋‹ค. $z$๋Š” ์ƒˆ๋กœ์šด ๋ฐฉํ–ฅ์„ ์ œ์‹œํ•˜์ง€ ๋ชปํ•˜๋ฏ€๋กœ ์ฑ„์šฐ๋Š” ์˜์—ญ์ด ๋„“์–ด์ง€์ง€ ์•Š๋Š”๋‹ค (์—ฌ์ „ํžˆ ๊ฐ™์€ ํ‰๋ฉด). - - $cv + dw = b$๋ฅผ ์†Œ๊ฑฐ๋ฒ•์œผ๋กœ ํ’€ ๋•Œ "ํ•ด๊ฐ€ ์—†์Œ"์€ ๊ณ„์‚ฐ ๊ณผ์ •์—์„œ ์–ด๋–ค ํ˜•ํƒœ๋กœ ๋‚˜ํƒ€๋‚˜๋Š”๊ฐ€? - - ํ•œ ๋ฏธ์ง€์ˆ˜๋งŒ ์†Œ๊ฑฐํ•˜๋ ค ํ–ˆ๋Š”๋ฐ ๋‘ ๋ฏธ์ง€์ˆ˜๊ฐ€ ๋ชจ๋‘ ์†Œ๊ฑฐ๋˜๋ฉด์„œ $0 = (\text{0์ด ์•„๋‹Œ ์ˆ˜})$ ๋ผ๋Š” ๋ชจ์ˆœ ๋ฐฉ์ •์‹์ด ๋‚จ๋Š”๋‹ค. -- -- ## 1.2 ๋‚ด์ ์œผ๋กœ๋ถ€ํ„ฐ์˜ ๊ธธ์ด์™€ ๊ฐ - - **๋‚ด์ (dot product)**: $v \cdot w = v_1w_1 + v_2w_2 + \cdots + v_nw_n$ (์ˆœ์„œ ๋ฌด๊ด€: $v\cdot w = w\cdot v$) - - ๐Ÿ’ก ๋‚ด์  ํ•˜๋‚˜์—์„œ **๊ธธ์ด**($v \cdot v$), **์ˆ˜์ง**($v \cdot w = 0$), **์‚ฌ์ž‡๊ฐ**(์ฝ”์‚ฌ์ธ ๊ณต์‹)์ด ์ „๋ถ€ ๋‚˜์˜จ๋‹ค. ์ด ์ ˆ์˜ ๋ชจ๋“  ๋‚ด์šฉ์€ ๋‚ด์ ์˜ ์‘์šฉ์ด๋‹ค. - - **๊ธธ์ด(length)**: $\|v\| = \sqrt{v \cdot v} = \sqrt{v_1^2 + \cdots + v_n^2}$ - - ํ”ผํƒ€๊ณ ๋ผ์Šค ์ •๋ฆฌ์˜ $n$์ฐจ์› ํ™•์žฅ. ์˜ˆ: $\|(1,2,3)\|^2 = 1+4+9 = 14$ - - ๐Ÿ’ก ์ฐจ์›์„ ํ•˜๋‚˜์”ฉ ์˜ฌ๋ฆด ๋•Œ๋งˆ๋‹ค ์ง๊ฐ์‚ผ๊ฐํ˜•์„ ํ•˜๋‚˜์”ฉ ๋” ์„ธ์šฐ๋Š” ๊ทธ๋ฆผ: $(1,2,3)$์˜ ๊ธธ์ด = ํ‰๋ฉด ๋ฒกํ„ฐ $(1,2,0)$(๊ธธ์ด $\sqrt5$)๊ณผ $z$์ถ• ์„ฑ๋ถ„ $(0,0,3)$์œผ๋กœ ๋งŒ๋“  ์ง๊ฐ์‚ผ๊ฐํ˜•์˜ ๋น—๋ณ€. - - $n$์ฐจ์› ๋‹จ์œ„ ์ •์œก๋ฉด์ฒด์˜ ๋Œ€๊ฐ์„  ๊ธธ์ด๋Š” $\sqrt{n}$ - - **๋‹จ์œ„๋ฒกํ„ฐ(unit vector)**: ๊ธธ์ด๊ฐ€ 1์ธ ๋ฒกํ„ฐ. $v \neq 0$ ์ด๋ฉด $u = \dfrac{v}{\|v\|}$ ๋Š” ๋‹จ์œ„๋ฒกํ„ฐ. - - $x$์ถ•๊ณผ ๊ฐ $\theta$๋ฅผ ์ด๋ฃจ๋Š” ๋‹จ์œ„๋ฒกํ„ฐ: $u = (\cos\theta, \sin\theta)$ (์ž๋™์œผ๋กœ ๊ธธ์ด 1: $\cos^2\theta + \sin^2\theta = 1$) - - **์ˆ˜์ง(perpendicular)**: $v \cdot w = 0 \iff$ ์‚ฌ์ž‡๊ฐ $90ยฐ$ - - ์ด๋•Œ $\|v+w\|^2 = \|v\|^2 + \|w\|^2$ (ํ”ผํƒ€๊ณ ๋ผ์Šค). ์ „๊ฐœ: $\|v+w\|^2 = v\cdot v + 2\,v\cdot w + w\cdot w$ ์—์„œ ๊ฐ€์šด๋ฐ ํ•ญ์ด 0. - - **์‚ฌ์ž‡๊ฐ ๊ณต์‹ (์ฝ”์‚ฌ์ธ ๊ณต์‹)**: ์˜๋ฒกํ„ฐ๊ฐ€ ์•„๋‹Œ $v, w$ ์— ๋Œ€ํ•ด $\cos\theta = \dfrac{v \cdot w}{\|v\|\,\|w\|}$ - - ๐Ÿ’ก ์œ ๋„์˜ ํ๋ฆ„: ๋‹จ์œ„๋ฒกํ„ฐ๋ผ๋ฆฌ ๋จผ์ € ์ฆ๋ช…($u = (\cos\theta, \sin\theta)$, $U = (\cos\beta, \sin\beta)$์˜ ๋‚ด์  = $\cos(\theta-\beta)$, ์‚ผ๊ฐ๋ฒ•์˜ ์ฝ”์‚ฌ์ธ ์ฐจ ๊ณต์‹) โ†’ ์ผ๋ฐ˜ ๋ฒกํ„ฐ๋Š” ๊ฐ์ž ๊ธธ์ด๋กœ ๋‚˜๋ˆ  ๋‹จ์œ„๋ฒกํ„ฐ๋กœ ๋งŒ๋“ค๋ฉด ๋œ๋‹ค. - - **๋ถ€ํ˜ธ๋งŒ ๋ด๋„ ๊ฐ์„ ์•ˆ๋‹ค**: $v \cdot w > 0$ โ†’ ์˜ˆ๊ฐ, $= 0$ โ†’ ์ง๊ฐ, $< 0$ โ†’ ๋‘”๊ฐ - - โš ๏ธ ์‚ฌ์ž‡๊ฐ์„ ๋…ผํ•  ๋•Œ ๋‘ ๋ฒกํ„ฐ ๋ชจ๋‘ **์˜๋ฒกํ„ฐ๊ฐ€ ์•„๋‹ˆ์–ด์•ผ** ํ•œ๋‹ค (๊ธธ์ด๋กœ ๋‚˜๋ˆ„๊ธฐ ๋•Œ๋ฌธ). - - **2๋Œ€ ๋ถ€๋“ฑ์‹** ($|\cos\theta| \le 1$ ์—์„œ ์œ ๋„) - - **์Šˆ๋ฐ”๋ฅด์ธ  ๋ถ€๋“ฑ์‹(Schwarz inequality)**: $|v \cdot w| \le \|v\|\,\|w\|$ โ€” "์ˆ˜ํ•™์—์„œ ๊ฐ€์žฅ ์ค‘์š”ํ•œ ๋ถ€๋“ฑ์‹" - - **์‚ผ๊ฐ๋ถ€๋“ฑ์‹(triangle inequality)**: $\|v + w\| \le \|v\| + \|w\|$ โ€” ์‚ผ๊ฐํ˜•์˜ ๋‘ ๋ณ€์˜ ํ•ฉ์€ ๋‚˜๋จธ์ง€ ๋ณ€๋ณด๋‹ค ํฌ๊ฑฐ๋‚˜ ๊ฐ™๋‹ค - - ์œ ๋„ ์ˆœ์„œ: ์Šˆ๋ฐ”๋ฅด์ธ  โ†’ ์‚ผ๊ฐ. $\|v+w\|^2 = \|v\|^2 + 2v\cdot w + \|w\|^2 \le \|v\|^2 + 2\|v\|\|w\| + \|w\|^2 = (\|v\|+\|w\|)^2$ - - ๋“ฑํ˜ธ ์„ฑ๋ฆฝ ์กฐ๊ฑด: ํ•œ ๋ฒกํ„ฐ๊ฐ€ ๋‹ค๋ฅธ ๋ฒกํ„ฐ์˜ ์ƒ์ˆ˜๋ฐฐ์ผ ๋•Œ ($w = cv$, ์‚ฌ์ž‡๊ฐ $0ยฐ$ ๋˜๋Š” $180ยฐ$, ์‚ผ๊ฐํ˜•์ด ๋‚ฉ์ž‘ํ•ด์ง€๋Š” ๊ฒฝ์šฐ) - - ๐Ÿ’ก ์‚ฐ์ˆ -๊ธฐํ•˜ํ‰๊ท  ๋ถ€๋“ฑ์‹ $\sqrt{xy} \le \frac{1}{2}(x+y)$ ๋„ ์Šˆ๋ฐ”๋ฅด์ธ  ๋ถ€๋“ฑ์‹์˜ ํŠน์ˆ˜ํ•œ ๊ฒฝ์šฐ๋กœ ๋‚˜์˜จ๋‹ค ($v=(\sqrt x, \sqrt y)$, $w=(\sqrt y, \sqrt x)$). - - **์ฝ”์‚ฌ์ธ ๋ฒ•์น™**: $\|v-w\|^2 = \|v\|^2 - 2\|v\|\|w\|\cos\theta + \|w\|^2$ ($(v-w)\cdot(v-w)$ ์ „๊ฐœ๋กœ ์œ ๋„) - - **์‘์šฉ** - - ์‹œ์†Œ์˜ ๊ท ํ˜•: ๊ฐ€์ค‘์น˜ ๋ฒกํ„ฐ $w$์™€ ๊ฑฐ๋ฆฌ ๋ฒกํ„ฐ $v$์˜ ๋‚ด์  $= 0$ ์ด๋ฉด ๊ท ํ˜•. - - ๊ฒฝ์ œ: (๋น„์šฉ) $=$ (์ˆ˜๋Ÿ‰ ๋ฒกํ„ฐ $q$) $\cdot$ (๊ฐ€๊ฒฉ ๋ฒกํ„ฐ $p$). ๋‚ด์ ์ด 0์ด๋ฉด ์ˆ˜์ž…๊ณผ ์ง€์ถœ์˜ ์ผ์น˜ ("์žฅ๋ถ€์˜ ๊ท ํ˜•"). - - ๊ธฐ์šธ๊ธฐ: ์›์ ์—์„œ $v$, $w$๋กœ ๊ฐ€๋Š” ํ™”์‚ดํ‘œ์˜ ๊ธฐ์šธ๊ธฐ์˜ ๊ณฑ์ด $-1$์ด๋ฉด $v \cdot w = 0$ (์ˆ˜์ง์ธ ์ง์„ ์˜ ๊ธฐ์šธ๊ธฐ ์กฐ๊ฑด๊ณผ ์ผ์น˜). - - **3์ฐจ์› ๊ณต๊ฐ„ ์•ˆ์˜ ํ‰๋ฉด**: ๋ฒ•์„ ๋ฒกํ„ฐ $n$๊ณผ ์ˆ˜์ง์ธ ๋ชจ๋“  ๋ฒกํ„ฐ $w$์˜ ์ง‘ํ•ฉ. ๋ฐฉ์ •์‹ $n_1w_1 + n_2w_2 + n_3w_3 = 0$ - - ์˜ˆ: $xy$-ํ‰๋ฉด์˜ ๋ฒ•์„ ๋ฒกํ„ฐ๋Š” $n = (0,0,1)$ โ†’ ๋ฐฉ์ •์‹์€ $w_3 = 0$ - - ### โ“ ์Šค์Šค๋กœ ์ ๊ฒ€ (1.2) - - $\|v\| = 5$, $\|w\| = 3$์ผ ๋•Œ $v \cdot w$๊ฐ€ ๊ฐ€์งˆ ์ˆ˜ ์žˆ๋Š” ๊ฐ’์˜ ๋ฒ”์œ„๋Š”? $\|v - w\|$์˜ ๋ฒ”์œ„๋Š”? - - ์Šˆ๋ฐ”๋ฅด์ธ  ๋ถ€๋“ฑ์‹์—์„œ $-15 \le v \cdot w \le 15$. $\|v-w\|$๋Š” ๋‘ ๋ฒกํ„ฐ๊ฐ€ ๊ฐ™์€ ๋ฐฉํ–ฅ์ผ ๋•Œ ์ตœ์†Œ $2$, ๋ฐ˜๋Œ€ ๋ฐฉํ–ฅ์ผ ๋•Œ ์ตœ๋Œ€ $8$ (์‚ผ๊ฐ๋ถ€๋“ฑ์‹). - - $\|v+w\|^2 = \|v\|^2 + \|w\|^2$ ์ด ์„ฑ๋ฆฝํ•œ๋‹ค๋Š” ๊ฒƒ์€ ๋‘ ๋ฒกํ„ฐ์— ๋Œ€ํ•ด ๋ฌด์—‡์„ ๋งํ•ด์ฃผ๋Š”๊ฐ€? ์—ญ๋„ ์„ฑ๋ฆฝํ•˜๋Š”๊ฐ€? - - $2v\cdot w = 0$, ์ฆ‰ ์ˆ˜์ง์ด๋ผ๋Š” ๋œป. ์ „๊ฐœ์‹์—์„œ ๊ณง๋ฐ”๋กœ ๋‚˜์˜ค๋ฏ€๋กœ ์—ญ๋ฐฉํ–ฅ๋„ ์„ฑ๋ฆฝ (๋™์น˜). - - ์Šˆ๋ฐ”๋ฅด์ธ  ๋ถ€๋“ฑ์‹๊ณผ ์‚ผ๊ฐ๋ถ€๋“ฑ์‹ ์ค‘ ์–ด๋А ๊ฒƒ์ด ์–ด๋А ๊ฒƒ์œผ๋กœ๋ถ€ํ„ฐ ์œ ๋„๋˜๋Š”๊ฐ€? - - ์‚ผ๊ฐ๋ถ€๋“ฑ์‹์ด ์Šˆ๋ฐ”๋ฅด์ธ  ๋ถ€๋“ฑ์‹์œผ๋กœ๋ถ€ํ„ฐ ์œ ๋„๋œ๋‹ค ($\|v+w\|^2$ ์ „๊ฐœ์—์„œ $v\cdot w$๋ฅผ $\|v\|\|w\|$๋กœ ํ‚ค์›€). - - ๋ฒกํ„ฐ $(1,1,1)$๊ณผ ์ˆ˜์ง์ธ ๋ฒกํ„ฐ๋“ค์€ $\mathbb{R}^3$์—์„œ ๋ฌด์—‡์„ ์ด๋ฃจ๋Š”๊ฐ€? - - $w_1+w_2+w_3=0$์„ ๋งŒ์กฑํ•˜๋Š”, ์›์ ์„ ์ง€๋‚˜๋Š” **ํ‰๋ฉด** ($(1,1,1)$์ด ๋ฒ•์„ ๋ฒกํ„ฐ). -- -- ## 1.3 ํ–‰๋ ฌ๊ณผ ์—ด๊ณต๊ฐ„ - - **ํ–‰๋ ฌ(matrix)**: $m$๊ฐœ์˜ ํ–‰๊ณผ $n$๊ฐœ์˜ ์—ด๋กœ ์ด๋ฃจ์–ด์ง„ ์ง์‚ฌ๊ฐํ˜• ์ˆ˜ ๋ฐฐ์—ด ($m \times n$ ํ–‰๋ ฌ). $m = n$์ด๋ฉด **์ •์‚ฌ๊ฐํ–‰๋ ฌ**. - - ํŠน์ˆ˜ํ•œ ํ–‰๋ ฌ 4ํ˜•์ œ: **ํ•ญ๋“ฑํ–‰๋ ฌ**(๋Œ€๊ฐ์„  1), **๋Œ€๊ฐํ–‰๋ ฌ**(๋Œ€๊ฐ์„  ๋ฐ– 0), **์‚ผ๊ฐํ–‰๋ ฌ**(๋Œ€๊ฐ์„  ์•„๋ž˜์ชฝ ๋˜๋Š” ์œ„์ชฝ์ด 0), **๋Œ€์นญํ–‰๋ ฌ**(ํ–‰๊ณผ ์—ด์„ ๋ฐ”๊ฟ”๋„ ๊ฐ™์Œ) - - $Ax$ **๋ฅผ ๊ณ„์‚ฐํ•˜๋Š” 2๊ฐ€์ง€ ๋ฐฉ๋ฒ•** - - **ํ–‰ ๋ฐฉ๋ฒ•**: $Ax$์˜ ๊ฐ ์„ฑ๋ถ„ $=$ ($A$์˜ ๊ฐ ํ–‰) $\cdot x$ ์˜ ๋‚ด์  โ†’ ์ˆซ์ž๊ฐ€ ์ฃผ์–ด์กŒ์„ ๋•Œ ๊ณ„์‚ฐ์— ์œ ๋ฆฌ - - **์—ด ๋ฐฉ๋ฒ•**: $Ax = x_1a_1 + x_2a_2 + \cdots + x_na_n$ โ†’ $Ax$ ๋Š” $A$ ์˜ **์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ** - - ๐Ÿ’ก ์ด ๋ฌธ์žฅ์ด ์ด ์žฅ์—์„œ ๊ฐ€์žฅ ์ค‘์š”ํ•œ ํ•œ ์ค„์ด๋‹ค. ํ–‰ ๋ฐฉ๋ฒ•์€ ์„ฑ๋ถ„(์ˆ˜) ํ•˜๋‚˜์”ฉ, ์—ด ๋ฐฉ๋ฒ•์€ ๋ฒกํ„ฐ ๋‹จ์œ„๋กœ ๋ณธ๋‹ค. "$Ax$์˜ ์˜๋ฏธ๋ฅผ ์ดํ•ดํ•˜๊ณ  ์‹ถ์œผ๋ฉด ์—ด ๋ฐฉ๋ฒ•". - - **์—ด๊ณต๊ฐ„(column space)** $C(A)$: ๋ชจ๋“  ๋ฒกํ„ฐ $Ax$์˜ ์ง‘ํ•ฉ = $A$์˜ ์—ด๋“ค์˜ ๋ชจ๋“  ์„ ํ˜•๊ฒฐํ•ฉ์˜ ์ง‘ํ•ฉ. - - "**์ƒ์„ฑ(span)**" = ๋ฒกํ„ฐ ์ง‘ํ•ฉ์˜ ๋ชจ๋“  ์„ ํ˜•๊ฒฐํ•ฉ. ์—ด๋“ค์˜ ์ƒ์„ฑ์ด ๊ณง ์—ด๊ณต๊ฐ„. - - ๐Ÿ’ก $Ax = b$ ๋ฅผ ํ’€ ์ˆ˜ ์žˆ๋‹ค $\iff$ $b \in C(A)$. 1.1์ ˆ์˜ ์งˆ๋ฌธ โ‘ก๊ฐ€ "b๊ฐ€ ์—ด๊ณต๊ฐ„ ์•ˆ์— ์žˆ๋Š”๊ฐ€?"๋กœ ๋ฒˆ์—ญ๋œ ๊ฒƒ. - - **์„ ํ˜•๋…๋ฆฝ์˜ ์ •์˜ (ํ–‰๋ ฌ ๋ฒ„์ „)**: $Ax = 0$ ์˜ ์œ ์ผํ•œ ํ•ด๊ฐ€ $x = 0$ ์ผ ๋•Œ, $A$์˜ ์—ด๋“ค์€ ์„ ํ˜•๋…๋ฆฝ์ด๋‹ค. - - ํŒ์ •์€ ๋ณดํ†ต ์™ผ์ชฝ ์—ด๋ถ€ํ„ฐ ์˜ค๋ฅธ์ชฝ์œผ๋กœ: ๊ฐ ์—ด์ด **์ด์ „ ์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด ์•„๋‹ˆ๋ฉด** (์ƒˆ๋กœ์šด ๋ฐฉํ–ฅ์„ ์ œ์‹œํ•˜๋ฉด) ๋…๋ฆฝ์ธ ์—ด๋กœ ์„ผ๋‹ค. - - โš ๏ธ ์˜ค๋ฅธ์ชฝ์—์„œ ์™ผ์ชฝ์œผ๋กœ ํŒ์ •ํ•ด๋„ **๋…๋ฆฝ์ธ ์—ด์˜ ๊ฐœ์ˆ˜๋Š” ๊ฐ™๋‹ค** (์–ด๋А ์—ด์ด ๋ฝ‘ํžˆ๋Š”์ง€๋Š” ๋‹ฌ๋ผ์งˆ ์ˆ˜ ์žˆ์Œ). - - $m = 3$ **์ผ ๋•Œ ์—ด๊ณต๊ฐ„์œผ๋กœ ๊ฐ€๋Šฅํ•œ 4๊ฐ€์ง€** (๋…๋ฆฝ์ธ ์—ด ๊ฐœ์ˆ˜ ๊ธฐ์ค€) - - 3๊ฐœ โ†’ $\mathbb{R}^3$ ์ „์ฒด ๊ณต๊ฐ„ - - 2๊ฐœ โ†’ ์›์ ์„ ์ง€๋‚˜๋Š” ํ‰๋ฉด - - 1๊ฐœ โ†’ ์›์ ์„ ์ง€๋‚˜๋Š” ์ง์„  - - 0๊ฐœ (์˜ํ–‰๋ ฌ) โ†’ ์  $(0,0,0)$ - - โš ๏ธ ์–ด๋А ๊ฒฝ์šฐ๋“  ์—ด๊ณต๊ฐ„์€ ๋ฐ˜๋“œ์‹œ **์›์ ์„ ํฌํ•จ**ํ•œ๋‹ค ($x=0$์ด๋ฉด $Ax=0$). - - **๋žญํฌ(rank)** $r$: $A$์˜ ์„ ํ˜•๋…๋ฆฝ์ธ ์—ด์˜ ๊ฐœ์ˆ˜. ์ฒ˜์Œ $r$๊ฐœ์˜ ๋…๋ฆฝ์ธ ์—ด๋“ค = ์—ด๊ณต๊ฐ„์˜ **๊ธฐ์ €(basis)**. (๊ธฐ์ €ยท์ฐจ์›์˜ ์—„๋ฐ€ํ•œ ์ •์˜๋Š” 3์žฅ ์˜ˆ๊ณ ) - - **๋žญํฌ 1 ํ–‰๋ ฌ**: ๋ชจ๋“  ์—ด์ด ๊ฐ™์€ ์ง์„  ์œ„(ํ•œ ์—ด์˜ ์ƒ์ˆ˜๋ฐฐ). ์ด๋•Œ ๋†€๋ž๊ฒŒ๋„ ๋ชจ๋“  **ํ–‰**๋„ ๊ฐ™์€ ์ง์„  ์œ„์— ์žˆ๋‹ค. - - 2ร—2๋กœ ํ™•์ธ: 2์—ด์ด 1์—ด์˜ $m$๋ฐฐ์ธ $A = \begin{bmatrix} a & ma \\ b & mb \end{bmatrix}$ ์ด๋ฉด 2ํ–‰ $[b\ \ mb]$ ๋Š” 1ํ–‰ $[a\ \ ma]$์˜ $\frac{b}{a}$๋ฐฐ ($a=0$์ธ ๊ฒฝ์šฐ๋Š” ๋”ฐ๋กœ ํ™•์ธ). - - ๐Ÿ’ก ์ด๊ฒƒ์ด **(์—ด ๋žญํฌ) = (ํ–‰ ๋žญํฌ)** ์˜ ์ฒซ ์‚ฌ๋ก€. ์ด ๋“ฑ์‹์€ ๋ชจ๋“  ํ–‰๋ ฌ์—์„œ ์„ฑ๋ฆฝํ•˜๋ฉฐ "์„ ํ˜•๋Œ€์ˆ˜ํ•™์˜ ์ฒซ ๋ฒˆ์งธ ์œ„๋Œ€ํ•œ ์ •๋ฆฌ". ์ผ๋ฐ˜์ ์ธ ์ฆ๋ช…์€ 1.4์ ˆ์˜ $A=CR$์ด ํ•ด์ค€๋‹ค. - - ### โ“ ์Šค์Šค๋กœ ์ ๊ฒ€ (1.3) - - $Ax$๋ฅผ "ํ–‰์˜ ๊ด€์ "๊ณผ "์—ด์˜ ๊ด€์ "์œผ๋กœ ๊ฐ๊ฐ ํ•œ ๋ฌธ์žฅ์œผ๋กœ ๋งํ•˜๋ฉด? - - ํ–‰: $Ax$์˜ ๊ฐ ์„ฑ๋ถ„์€ $A$์˜ ๊ฐ ํ–‰๊ณผ $x$์˜ ๋‚ด์ . ์—ด: $Ax$๋Š” $A$์˜ ์—ด๋“ค์„ $x$์˜ ์„ฑ๋ถ„์œผ๋กœ ๊ฐ€์ค‘ํ•œ ์„ ํ˜•๊ฒฐํ•ฉ. - - 3ร—3 ํ–‰๋ ฌ์˜ ์—ด๊ณต๊ฐ„์ด "์›์ ์„ ์ง€๋‚˜๋Š” ์ง์„ "์ด ๋˜๋ ค๋ฉด ์—ด๋“ค์ด ์–ด๋–ค ์ƒํƒœ์—ฌ์•ผ ํ•˜๋Š”๊ฐ€? - - ์˜๋ฒกํ„ฐ๊ฐ€ ์•„๋‹Œ ์—ด์ด ์กด์žฌํ•˜๋˜, ๋ชจ๋“  ์—ด์ด ๊ทธ ํ•œ ์—ด์˜ ์ƒ์ˆ˜๋ฐฐ (์„ ํ˜•๋…๋ฆฝ์ธ ์—ด์ด 1๊ฐœ, ๋žญํฌ 1). - - $b$๊ฐ€ $C(A)$ ๋ฐ–์— ์žˆ์œผ๋ฉด $Ax = b$๋Š” ์–ด๋–ป๊ฒŒ ๋˜๋Š”๊ฐ€? - - ํ•ด๊ฐ€ ์กด์žฌํ•˜์ง€ ์•Š๋Š”๋‹ค. $Ax$๋Š” ํ•ญ์ƒ ์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด๋ฏ€๋กœ ์—ด๊ณต๊ฐ„์„ ๋ฒ—์–ด๋‚  ์ˆ˜ ์—†๋‹ค. - - ์–ด๋–ค ํ–‰๋ ฌ์˜ ๋ชจ๋“  ์—ด์ด ์„ ํ˜•์ข…์† ์Œ(๋ชจ๋“  ์—ด์˜ ์Œ์ด ๊ฐ™์€ ์ง์„  ์œ„)์ด๋ผ๋ฉด ์—ด๊ณต๊ฐ„์€? - - ์›์ ์„ ์ง€๋‚˜๋Š” ํ•˜๋‚˜์˜ ์ง์„  (ํ˜น์€ ์ „๋ถ€ ์˜๋ฒกํ„ฐ๋ฉด ์›์  ํ•˜๋‚˜). -- -- ## 1.4 ํ–‰๋ ฌ๊ณฑ AB์™€ CR - - **ํ–‰๋ ฌ๊ณฑ์˜ ๊ธฐ๋ณธ ๊ทœ์น™** - - $(m \times n)(n \times p) = (m \times p)$: $A$์˜ ํ–‰ ๊ธธ์ด($n$)์™€ $B$์˜ ์—ด ๊ธธ์ด($n$)๊ฐ€ ๊ฐ™์•„์•ผ ๊ณฑํ•  ์ˆ˜ ์žˆ๋‹ค. - - ํ•ต์‹ฌ ์ •์˜: $(AB\text{์˜ } j\text{์—ด}) = A \times (B\text{์˜ } j\text{์—ด})$, ์ฆ‰ $AB = [Ab_1\ Ab_2\ \cdots\ Ab_p]$ - - ์ด ๊ณฑ์…ˆ ํšŸ์ˆ˜๋Š” ์–ด๋–ค ๋ฐฉ๋ฒ•์ด๋“  $mnp$ ๋ฒˆ. (์ฐธ๊ณ : ์ŠˆํŠธ๋ผ์„ผ์€ 2ร—2 ๊ณฑ์„ ๊ณฑ์…ˆ 7๋ฒˆ์œผ๋กœ ์ค„์˜€๊ณ , ์ง€์ˆ˜๋ฅผ ์–ผ๋งˆ๋‚˜ ๋‚ฎ์ถœ ์ˆ˜ ์žˆ๋Š”์ง€๋Š” ๋ฏธํ•ด๊ฒฐ ๋ฌธ์ œ) - - $AB$ **๋ฅผ ๊ณ„์‚ฐํ•˜๋Š” 4๊ฐ€์ง€ ๋ฐฉ๋ฒ•** (์ˆœ์„œ๋งŒ ๋‹ค๋ฅด๊ณ  ๊ฒฐ๊ณผยท๊ณฑ์…ˆ ํšŸ์ˆ˜๋Š” ๋™์ผ) - - โ‘  (ํ–‰)ยท(์—ด): $(AB)_{ij} = (A$์˜ $i$ํ–‰$)\cdot(B$์˜ $j$์—ด$)$ โ€” ์† ๊ณ„์‚ฐ์— ํŽธ๋ฆฌ - - โ‘ก (ํ–‰๋ ฌ)ร—(์—ด): $Ab_j$ โ†’ $AB$์˜ ์—ด๋“ค์„ ํ•˜๋‚˜์”ฉ ์ƒ์„ฑ. $AB$์˜ ๊ฐ ์—ด์€ $A$ ์˜ **์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ** - - โ‘ข (ํ–‰)ร—(ํ–‰๋ ฌ): $A$์˜ ๊ฐ ํ–‰ ร— $B$ โ†’ $AB$์˜ ํ–‰๋“ค์„ ์ƒ์„ฑ. $AB$์˜ ๊ฐ ํ–‰์€ $B$์˜ ํ–‰๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ - - โ‘ฃ **(์—ด)ร—(ํ–‰)**: $AB = a_1b_1^* + a_2b_2^* + \cdots + a_nb_n^*$ โ€” **๋žญํฌ 1 ํ–‰๋ ฌ๋“ค์˜ ํ•ฉ** - - (์—ด)ร—(ํ–‰) ํ•˜๋‚˜ํ•˜๋‚˜๊ฐ€ **์™ธ์ (outer product)** ์ด๋ฉฐ ๋žญํฌ 1 ํ–‰๋ ฌ. (๋ฌผ๋ฆฌ์˜ ๋ฒกํ„ฐ๊ณฑ(cross product)๊ณผ๋Š” ๋‹ค๋ฅธ ๊ฒƒ โ€” ์ด ์ฑ…์˜ ์™ธ์ ์€ ํ…์„œ๊ณฑ) - - ๐Ÿ’ก ๋‚ด์ ์€ (ํ–‰)ร—(์—ด) = ์ˆ˜, ์™ธ์ ์€ (์—ด)ร—(ํ–‰) = ํ–‰๋ ฌ. ๋ชจ์–‘์ด ๊ฒฐ๊ณผ๋ฅผ ๊ฒฐ์ •ํ•œ๋‹ค: $(1 \times n)(n \times 1) = 1\times 1$, $(m \times 1)(1 \times p) = m \times p$. - - **์—ฐ์‚ฐ ๋ฒ•์น™** - - **๊ตํ™˜๋ฒ•์น™ ๋ถˆ์„ฑ๋ฆฝ**: ์ผ๋ฐ˜์ ์œผ๋กœ $AB \neq BA$ - - ๐Ÿ’ก ๊ตํ™˜ํ–‰๋ ฌ $P$๋กœ ํ™•์ธ: $AP$๋Š” $A$์˜ **์—ด**์„ ๊ตํ™˜(์˜ค๋ฅธ์ชฝ ๊ณฑ), $PA$๋Š” $A$์˜ **ํ–‰**์„ ๊ตํ™˜(์™ผ์ชฝ ๊ณฑ). "ํ–‰ ์—ฐ์‚ฐ์€ ์™ผ์ชฝ์—์„œ, ์—ด ์—ฐ์‚ฐ์€ ์˜ค๋ฅธ์ชฝ์—์„œ". - - **๊ฒฐํ•ฉ๋ฒ•์น™ ์„ฑ๋ฆฝ**: $(AB)C = A(BC)$ โ€” ์กฐ์šฉํ•ด ๋ณด์ด์ง€๋งŒ ๋งค์šฐ ์ค‘์š”ํ•œ ๋ฒ•์น™ - - **๋ถ„๋ฐฐ๋ฒ•์น™ ์„ฑ๋ฆฝ**: $A(B+C) = AB + AC$ - - **ํ–‰๋ ฌ ๋ถ„ํ•ด** $A = CR$ โ€” ์ด ์žฅ์˜ ์ตœ์ข… ๋ชฉํ‘œ - - $A$($m \times n$, ๋žญํฌ $r$) $= C$($m \times r$) $\times R$($r \times n$) - - $C$ **๋งŒ๋“ค๊ธฐ**: ์™ผ์ชฝ์—์„œ ์˜ค๋ฅธ์ชฝ์œผ๋กœ ์ด๋™ํ•˜๋ฉฐ ์ด์ „ ์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด ์•„๋‹Œ ์—ด(= ์ƒˆ๋กœ์šด ๋ฐฉํ–ฅ์˜ ์—ด)๋งŒ $A$์—์„œ ๊ณจ๋ผ ๋‹ด๋Š”๋‹ค. โ†’ $C$์˜ $r$๊ฐœ ์—ด์€ ๋ชจ๋‘ ์„ ํ˜•๋…๋ฆฝ ($Cx=0 \Rightarrow x=0$). - - $R$ **์˜ ์—ญํ• **: $C$์˜ ์—ด๋“ค์„ ์–ด๋–ป๊ฒŒ ์„ ํ˜•๊ฒฐํ•ฉํ•˜๋ฉด $A$์˜ ๊ฐ ์—ด์ด ๋˜๋Š”์ง€ ์•Œ๋ ค์ฃผ๋Š” ๊ณ„์ˆ˜ ํ–‰๋ ฌ. - - $A$์˜ ์—ด์ด ๊ทธ๋Œ€๋กœ $C$์— ๋“ค์–ด๊ฐ„ ์œ„์น˜ โ†’ $R$์˜ ๊ทธ ์—ด์€ ํ•ญ๋“ฑํ–‰๋ ฌ์˜ ์—ด. ๊ทธ๋ž˜์„œ $R$ ์•ˆ์— $r \times r$ **ํ•ญ๋“ฑํ–‰๋ ฌ** $I$ ๊ฐ€ ๋“ค์–ด ์žˆ๋‹ค: $R = [I\ F]$ ๊ผด (์—ด ์œ„์น˜๋Š” ์„ž์ผ ์ˆ˜ ์žˆ์Œ), $A = [C\ CF]$ - - โš ๏ธ $C$๋Š” $A$์˜ ์—ด์„ ๊ทธ๋Œ€๋กœ ๊ฐ€์ ธ์˜ค์ง€๋งŒ, $R$์€ $A$์˜ ํ–‰์„ ๊ทธ๋Œ€๋กœ ๊ฐ€์ ธ์˜จ ๊ฒƒ์ด **์•„๋‹ˆ๋‹ค** (๊ณ„์ˆ˜ ํ–‰๋ ฌ์ž„). - - $R$ **์ฐพ๋Š” ๋ฐฉ๋ฒ• = ์†Œ๊ฑฐ๋ฒ•(ํ–‰ ์—ฐ์‚ฐ)**: $A \to$ (์•„๋ž˜์ชฝ ์†Œ๊ฑฐ) ์ƒ์‚ผ๊ฐ $U \to$ (์œ„์ชฝ๊นŒ์ง€ ์†Œ๊ฑฐ) $R_0 = \text{rref}(A)$ (**๊ธฐ์•ฝํ–‰์‚ฌ๋‹ค๋ฆฌ๊ผด**). $R_0$์˜ ์˜๋ฒกํ„ฐ ํ–‰ $(m-r)$๊ฐœ๋ฅผ ์ œ๊ฑฐํ•˜๋ฉด $R$. (์†Œ๊ฑฐ๋ฒ• ๋ณธ๊ฒฉ ์ „๊ฐœ๋Š” 2~3์žฅ ์˜ˆ๊ณ ) - - ํŠน์ˆ˜ํ•œ ๊ฒฝ์šฐ: $A$์˜ ๋ชจ๋“  ์—ด์ด ์„ ํ˜•๋…๋ฆฝ์ด๋ฉด $C = A$, $R = I$. ๋žญํฌ 1์ด๋ฉด $C$๋Š” ์—ด ํ•˜๋‚˜, $R$์€ ํ–‰ ํ•˜๋‚˜. - - $A = CR$ **์˜ ์ฃผ์š” ์‚ฌ์‹ค** - - $C$์˜ $r$๊ฐœ ์—ด = $A$์˜ **์—ด๊ณต๊ฐ„์˜ ๊ธฐ์ €** โ†’ ์—ด๊ณต๊ฐ„์€ $r$์ฐจ์› - - $R$์˜ $r$๊ฐœ ํ–‰ = $A$์˜ **ํ–‰๊ณต๊ฐ„(row space)์˜ ๊ธฐ์ €** โ†’ ํ–‰๊ณต๊ฐ„๋„ $r$์ฐจ์› - - **(ํ–‰ ๋žญํฌ) = (์—ด ๋žญํฌ) ์ฆ๋ช… ์Šค์ผ€์น˜** (4๋‹จ๊ณ„) - - โ‘  $C$์˜ $r$๊ฐœ ์—ด์€ ์„ ํ˜•๋…๋ฆฝ (๋…๋ฆฝ์ธ ๊ฒƒ๋งŒ ๊ณจ๋ž์œผ๋ฏ€๋กœ) - - โ‘ก $A$์˜ ๋ชจ๋“  ์—ด์€ $C$์˜ ์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ ($A = CR$) - - โ‘ข $R$์˜ $r$๊ฐœ ํ–‰์€ ์„ ํ˜•๋…๋ฆฝ ($R$ ์•ˆ์— $I$๊ฐ€ ์žˆ์œผ๋ฏ€๋กœ) - - โ‘ฃ $A$์˜ ๋ชจ๋“  ํ–‰์€ $R$์˜ ํ–‰๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ ($A = CR$์„ ํ–‰ ๊ด€์ ์œผ๋กœ ์ฝ๊ธฐ) - - ๐Ÿ’ก ๊ฐ™์€ ์‹ $A=CR$์„ ์—ด ๊ด€์ ์œผ๋กœ ์ฝ์œผ๋ฉด ์—ด๊ณต๊ฐ„ ์ •๋ณด($C$), ํ–‰ ๊ด€์ ์œผ๋กœ ์ฝ์œผ๋ฉด ํ–‰๊ณต๊ฐ„ ์ •๋ณด($R$)๊ฐ€ ๋‚˜์˜จ๋‹ค๋Š” ๊ฒƒ์ด ์ด ์ฆ๋ช…์˜ ๋ฌ˜๋ฏธ. - - ### โ“ ์Šค์Šค๋กœ ์ ๊ฒ€ (1.4) - - $AB$์˜ $j$์—ด์„ ํ•˜๋‚˜์˜ ๊ณฑ์œผ๋กœ ํ‘œํ˜„ํ•˜๋ฉด? $AB$์˜ ๊ฐ ์—ด์€ ๋ˆ„๊ตฌ์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ธ๊ฐ€? - - $(AB)_j = A b_j$. ๋”ฐ๋ผ์„œ $AB$์˜ ๋ชจ๋“  ์—ด์€ $A$์˜ ์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด๊ณ , $C(AB)$๋Š” $C(A)$์— ํฌํ•จ๋œ๋‹ค. - - (์—ด)ร—(ํ–‰) ๋ฐฉ๋ฒ•์œผ๋กœ $AB$๋ฅผ ๊ณ„์‚ฐํ•˜๋ฉด ๋ฌด์—‡์„ ๋ช‡ ๊ฐœ ๋”ํ•˜๊ฒŒ ๋˜๋Š”๊ฐ€? - - ๋žญํฌ 1 ํ–‰๋ ฌ($A$์˜ $k$์—ด ร— $B$์˜ $k$ํ–‰)์„ $n$๊ฐœ ๋”ํ•œ๋‹ค. - - $A = CR$์—์„œ $R$ ์•ˆ์— ํ•ญ๋“ฑํ–‰๋ ฌ์ด ๋ฐ˜๋“œ์‹œ ๋‚˜ํƒ€๋‚˜๋Š” ์ด์œ ๋Š”? - - $C$์— ๋“ค์–ด๊ฐ„ $A$์˜ ์—ด ์ž์‹ ์„ ํ‘œํ˜„ํ•  ๋•Œ๋Š” "๊ทธ ์—ด 1๋ฐฐ + ๋‚˜๋จธ์ง€ 0๋ฐฐ"์ด๋ฏ€๋กœ, ํ•ด๋‹น ์œ„์น˜์˜ $R$ ์—ด์ด ํ•ญ๋“ฑํ–‰๋ ฌ์˜ ์—ด์ด ๋œ๋‹ค. - - 3ร—3 ํ–‰๋ ฌ $A$, $B$์˜ ๋žญํฌ๊ฐ€ ๋ชจ๋‘ 3์ด ์•„๋‹ˆ์–ด๋„ $AB$์˜ ๋žญํฌ๊ฐ€ 3์ด ๋  ์ˆ˜ ์žˆ๋Š”๊ฐ€? (์ด ์ ˆ์˜ ๊ด€์ ์—์„œ) - - ์—†๋‹ค. $AB$์˜ ์—ด์€ ๋ชจ๋‘ $A$์˜ ์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด๋ฏ€๋กœ $AB$์˜ ๋…๋ฆฝ์ธ ์—ด ๊ฐœ์ˆ˜๋Š” $A$์˜ ๋žญํฌ๋ฅผ ๋„˜์„ ์ˆ˜ ์—†๋‹ค. - - $P = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$๋ฅผ $A$์˜ ์™ผ์ชฝ์— ๊ณฑํ•  ๋•Œ์™€ ์˜ค๋ฅธ์ชฝ์— ๊ณฑํ•  ๋•Œ ๊ฐ๊ฐ ๋ฌด์Šจ ์ผ์ด ์ผ์–ด๋‚˜๋Š”๊ฐ€? - - ์™ผ์ชฝ($PA$): ํ–‰ ๊ตํ™˜. ์˜ค๋ฅธ์ชฝ($AP$): ์—ด ๊ตํ™˜. -- -- ## 1์žฅ์— ๋Œ€ํ•œ ๊ณ ์ฐฐ - - ์„ ํ˜•๋Œ€์ˆ˜ํ•™์ด ์‰ฌ์šด ์ด์œ : ๋ชจ๋“  ๋ฐฉ์ •์‹์ด **์„ ํ˜•**. ์–ด๋ ค์šด ์ด์œ : ๋ฐฉ์ •์‹ยท๋ฏธ์ง€์ˆ˜ยท์•„์ด๋””์–ด๊ฐ€ ๋งŽ์Œ. โ†’ ํ•ด๋ฒ•์€ **ํ–‰๋ ฌ๋กœ ํ•œ๋ฒˆ์— ์ฒ˜๋ฆฌ** ($Ax = b$๋Š” ํฌ๊ธฐ์— ์ƒ๊ด€์—†๋Š” ์™„๋ฒฝํ•œ ํ˜•์‹). - - ์„ ํ˜•์„ฑ์˜ ๊ทœ์น™: $A(x + y) = Ax + Ay$ โ€” ๊ฒฐํ•ฉ๋ฒ•์น™ $(AB)C = A(BC)$๋„ ๊ฒฐ๊ตญ ์ด ์„ ํ˜•์„ฑ์œผ๋กœ ์ฆ๋ช…๋œ๋‹ค. - - $m \times n$ **๋žœ๋คํ–‰๋ ฌ**์˜ $Ax = b$ ์— ๋Œ€ํ•œ ๊ธฐ๋Œ€ (๋ฐ˜๋“œ์‹œ ์„ฑ๋ฆฝํ•˜๋Š” ๊ฒƒ์€ ์•„๋‹˜) - - $m < n$ (๋ฐฉ์ •์‹ < ๋ฏธ์ง€์ˆ˜): ์•„๋งˆ๋„ ํ•ด๊ฐ€ ๋งŽ์ด ์กด์žฌ - - $m = n$: ์•„๋งˆ๋„ ํ•ด๊ฐ€ ํ•˜๋‚˜ ์กด์žฌ - - $m > n$ (๋ฐฉ์ •์‹ > ๋ฏธ์ง€์ˆ˜): ์•„๋งˆ๋„ ํ•ด๊ฐ€ ์กด์žฌํ•˜์ง€ ์•Š์Œ - - โš ๏ธ "์•„๋งˆ๋„"์ธ ์ด์œ : ์–ด๋–ค ๋ฐฉ์ •์‹(ํ–‰)์ด ์ด์ „ ๋ฐฉ์ •์‹๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ์ด๋ฉด ์ƒˆ๋กœ์šด ์ •๋ณด๊ฐ€ ์•„๋‹ˆ๊ธฐ ๋•Œ๋ฌธ. โ†’ ๋žญํฌ $r$ ์ด **๋ฌธ์ œ์˜ ์‹ค์ œ ํฌ๊ธฐ**๋ฅผ ์•Œ๋ ค์ค€๋‹ค. - - $Ax$, $AB$, $CR$ ๋ชจ๋‘ "**์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ**" ๊ด€์ ์œผ๋กœ ์„ค๋ช…ํ•˜๋Š” ๊ฒƒ์ด ์ด ์ฑ…์˜ ์ผ๊ด€๋œ ๋ฐฉ์‹์ด๋‹ค (ํ–‰๋“ค์˜ ๋‚ด์ ์ด ์•„๋‹ˆ๋ผ). - - ### โ“ 1์žฅ ์ „์ฒด ์ด์ •๋ฆฌ ์งˆ๋ฌธ - - 1์žฅ์˜ ๋‚ด์šฉ์„ "์„ ํ˜•๊ฒฐํ•ฉ" ํ•œ ๋‹จ์–ด๋กœ ๊ฟฐ์–ด์„œ ์š”์•ฝํ•˜๋ฉด? - - ๋ฒกํ„ฐ๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ(1.1) โ†’ ๋‚ด์ ์œผ๋กœ ๊ทธ ๊ธฐํ•˜(๊ธธ์ดยท๊ฐ)๋ฅผ ์žฐ๋‹ค(1.2) โ†’ $Ax$ = ์—ด๋“ค์˜ ์„ ํ˜•๊ฒฐํ•ฉ, ๊ทธ ์ „์ฒด๊ฐ€ ์—ด๊ณต๊ฐ„(1.3) โ†’ $AB$์˜ ์—ด๋„ ์„ ํ˜•๊ฒฐํ•ฉ, $A=CR$์€ "๋…๋ฆฝ์ธ ์—ด($C$) + ๊ฒฐํ•ฉ ๊ณ„์ˆ˜($R$)"๋กœ์˜ ๋ถ„ํ•ด(1.4). - - $A = CR$ ๋ถ„ํ•ด๊ฐ€ ์•Œ๋ ค์ฃผ๋Š” ์ •๋ณด ์„ธ ๊ฐ€์ง€๋Š”? - - $A$์˜ ๋žญํฌ $r$, ์—ด๊ณต๊ฐ„์˜ ๊ธฐ์ €($C$์˜ ์—ด), ํ–‰๊ณต๊ฐ„์˜ ๊ธฐ์ €($R$์˜ ํ–‰) โ€” ๊ทธ๋ฆฌ๊ณ  ๊ทธ ๊ฒฐ๊ณผ๋กœ (ํ–‰ ๋žญํฌ)=(์—ด ๋žญํฌ). \ No newline at end of file diff --git a/logseq/.recycle/pages_2์žฅ ์„ ํ˜•๋ฐฉ์ •์‹ ํ’€๊ธฐ.md b/logseq/.recycle/pages_2์žฅ ์„ ํ˜•๋ฐฉ์ •์‹ ํ’€๊ธฐ.md deleted file mode 100755 index 0b3f2df..0000000 --- a/logseq/.recycle/pages_2์žฅ ์„ ํ˜•๋ฐฉ์ •์‹ ํ’€๊ธฐ.md +++ /dev/null @@ -1,3 +0,0 @@ -deck:: Logseq/์ „๊ณต๊ณต๋ถ€/์„ ํ˜•๋Œ€์ˆ˜ํ•™ - -- ![2แ„Œแ…กแ†ผ แ„‰แ…ฅแ†ซแ„’แ…งแ†ผแ„‡แ…กแ†ผแ„Œแ…ฅแ†ผแ„‰แ…ตแ†จ แ„‘แ…ฎแ†ฏแ„€แ…ตOCR.pdf](../assets/2์žฅ_์„ ํ˜•๋ฐฉ์ •์‹_ํ’€๊ธฐOCR_1784291743411_0.pdf) \ No newline at end of file diff --git a/logseq/.recycle/pages_First Page.md b/logseq/.recycle/pages_First Page.md deleted file mode 100755 index 954e6e0..0000000 --- a/logseq/.recycle/pages_First Page.md +++ /dev/null @@ -1,26 +0,0 @@ -- Swift Arrow - - ๋„ˆ๋Š” ๋ˆ„๊ตฌ์ง€? :->code::hello - id:: 683d7d8c-f684-4309-9eb7-d297f58c2cb5 - - close:->hello - id:: 683d8268-ca86-4567-9619-7146b82d501c -- hello - collapsed:: true - - ceuak - - hello:->ceuak - id:: 683d81b8-6ce7-4576-9713-7e7db5b6fdc5 - - ceuak! - collapsed:: true - - ceuak :<- dongsang - id:: 683d81be-fdc8-44d0-8110-d055e684370d - - -- card tag - - ceuak #card - id:: 683d82e5-9e7b-42f2-a227-f56429ab93f8 - - ceuak1 #card - - dongsang - - ceauk2 - - ceuak3 -- -- -- -- \ No newline at end of file diff --git a/logseq/.recycle/pages_Index Page.md b/logseq/.recycle/pages_Index Page.md deleted file mode 100755 index 53723fe..0000000 --- a/logseq/.recycle/pages_Index Page.md +++ /dev/null @@ -1,4 +0,0 @@ -- ์˜์–ด๊ณต๋ถ€ - - [[๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜(์„ฑ์ •ํ˜œ)]] - - -- oo๊ณต๋ถ€ \ No newline at end of file diff --git a/logseq/.recycle/pages_card.md b/logseq/.recycle/pages_card.md deleted file mode 100755 index 3cf20d5..0000000 --- a/logseq/.recycle/pages_card.md +++ /dev/null @@ -1 +0,0 @@ -- \ No newline at end of file diff --git a/logseq/.recycle/pages_contents.md b/logseq/.recycle/pages_contents.md deleted file mode 100755 index 3cf20d5..0000000 --- a/logseq/.recycle/pages_contents.md +++ /dev/null @@ -1 +0,0 @@ -- \ No newline at end of file diff --git a/logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜ 1๊ฐ•.md b/logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜ 1๊ฐ•.md deleted file mode 100755 index 50c2753..0000000 --- a/logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜ 1๊ฐ•.md +++ /dev/null @@ -1,2 +0,0 @@ -- -- \ No newline at end of file diff --git a/logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜(์„ฑ์ •ํ˜œ).md b/logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜(์„ฑ์ •ํ˜œ).md deleted file mode 100755 index 64cc6d0..0000000 --- a/logseq/.recycle/pages_๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜(์„ฑ์ •ํ˜œ).md +++ /dev/null @@ -1,2 +0,0 @@ -- [[๊ธฐ์ดˆ์˜์–ด๊ฐ•์˜ 1๊ฐ•]] -- \ No newline at end of file diff --git a/logseq/.recycle/pages_์•Œ๊ณ ๋ฆฌ์ฆ˜ ๊ธฐ๋ฒ• ๋ฐ ์ž๋ฃŒ๊ตฌ์กฐ.md b/logseq/.recycle/pages_์•Œ๊ณ ๋ฆฌ์ฆ˜ ๊ธฐ๋ฒ• ๋ฐ ์ž๋ฃŒ๊ตฌ์กฐ.md deleted file mode 100755 index 6ede3aa..0000000 --- a/logseq/.recycle/pages_์•Œ๊ณ ๋ฆฌ์ฆ˜ ๊ธฐ๋ฒ• ๋ฐ ์ž๋ฃŒ๊ตฌ์กฐ.md +++ /dev/null @@ -1,4 +0,0 @@ -deck:: Logseq/coding tip - -- [[๋ถ„๋ฆฌ์ง‘ํ•ฉ(Disjoint Set) (Union Find)]] -- \ No newline at end of file diff --git a/logseq/.recycle/pages_์ž๋ฃŒ๊ตฌ์กฐ.md b/logseq/.recycle/pages_์ž๋ฃŒ๊ตฌ์กฐ.md deleted file mode 100755 index eac0385..0000000 --- a/logseq/.recycle/pages_์ž๋ฃŒ๊ตฌ์กฐ.md +++ /dev/null @@ -1,3 +0,0 @@ -deck:: Logseq/coding tip - -- \ No newline at end of file diff --git a/logseq/.recycle/pages_์ „๊ณต๊ณต๋ถ€.md b/logseq/.recycle/pages_์ „๊ณต๊ณต๋ถ€.md deleted file mode 100755 index 3cf20d5..0000000 --- a/logseq/.recycle/pages_์ „๊ณต๊ณต๋ถ€.md +++ /dev/null @@ -1 +0,0 @@ -- \ No newline at end of file diff --git a/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท.md b/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท.md deleted file mode 100755 index df0095f..0000000 --- a/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท.md +++ /dev/null @@ -1,283 +0,0 @@ -deck:: Logseq/coding tip - -- ## **โ– Javascript / Typescript** - - ### **โ–บ ์ด์ฐจ์› ๋ฐฐ์—ด(n*m) ์ƒ์„ฑ** - - id:: 6867f897-928a-4f22-8184-491fa70314db - 1. Array.from() ์‚ฌ์šฉ๋ฒ• - - ```javascript - const arr = Array.from({length : n}, () => new Array(m).fill(0)); - ``` - - id:: 6867f8fc-3249-4ced-91aa-a2c951c11b0b - 2. Array().fill() ์‚ฌ์šฉ๋ฒ• - - ```javascript - const arr = new Array(n).fill().map(() => new Array(m).fill(0)); - ``` - - id:: 6867f8fe-39c6-438b-a045-4f8687ad0b1d - 3. ๋ฐ˜๋ณต๋ฌธ ์ˆœํšŒ - - ```javascript - let arr = []; - for(int i=0; i {์กฐ๊ฑด์‹})** - id:: 686922a8-1c72-4261-8339-aff6ece36f03 - - **๋ฐฐ์—ด์˜ ๋ชจ๋“  ์š”์†Œ๊ฐ€ ์กฐ๊ฑด์‹์„ ๋งŒ์กฑํ•˜๋Š”์ง€ ํ™•์ธํ•ด์„œ true/false๋ฅผ ๋ฐ˜ํ™˜ํ•˜๋Š” ๋งค์„œ๋“œ** - - **elememt : ํ˜„์žฌ ์š”์†Œ, index : ํ˜„์žฌ ์ธ๋ฑ์Šค(์ƒ๋žต๊ฐ€๋Šฅ), array : ์›๋ณธ ๋ฐฐ์—ด(์ƒ๋žต ๊ฐ€๋Šฅ)** - - **๋ฐฐ์—ด์˜ ๋ชจ๋“  ์š”์†Œ๊ฐ€ ํŠน์ • ๊ฐ’์ธ์ง€ ํ˜น์€ ํŠน์ • ๋ฒ”์œ„์— ์žˆ๋Š”์ง€ ํ™•์ธํ•˜๋Š” ์šฉ๋„๋กœ ์‚ฌ์šฉ๊ฐ€๋Šฅ** - - ```javascript - const arr = [1,2,3,4,5,6,7,8,9,10]; - - arr.every((v,i) => v===i+1); // true - arr.every((v,i,array) => { - if(i<[array.length-1]){ - return array[i] < array[i+1]; - } - else { - return true; - } - }); // true - arr.every(v => v===arr[0]); // false - ``` - - ### **โ—ผ๏ธŽ Array.slice(start_idx, end_idx)** - id:: 68692600-551c-488b-ad74-de8145729133 - - **๋ฐฐ์—ด์—์„œ ํŠน์ • ๋ฒ”์œ„์˜ ์ธ๋ฑ์Šค ๋ถ€๋ถ„๋งŒ ์ž˜๋ผ๋‚ด์„œ ๊ทธ ๋ฐฐ์—ด์„ ๋ฐ˜ํ™˜ํ•˜๋Š” ๋งค์„œ๋“œ** - - **end_idx๋Š” ์ƒ๋žต ๊ฐ€๋Šฅํ•˜๋‹ค** - - ์ด ๊ฒฝ์šฐ์—๋Š” start_idx ๋ถ€ํ„ฐ ๋๊นŒ์ง€ ๋ฐ˜ํ™˜ํ•œ๋‹ค. - - **๋ฐฐ์—ด์˜ start_idx ์ธ๋ฑ์Šค ๋ถ€ํ„ฐ end_idx - 1 ์ธ๋ฑ์Šค๊นŒ์ง€์˜ ๋ฐฐ์—ด์„ ์ž˜๋ผ๋‚ด์„œ ๋ฐ˜ํ™˜ํ™ค** - - ์˜ˆ๋ฅผ ๋“ค๋ฉด arr.slice(2,7) ์€ arr์˜ ์ธ๋ฑ์Šค2 ๋ถ€ํ„ฐ ์ธ๋ฑ์Šค 6๊นŒ์ง€์˜ ๋ฐฐ์—ด์„ ๋ฐ˜ํ™˜ํ•จ. - - **๋ฒ”์œ„๋ฅผ ์ดˆ๊ณผํ•ด๋„ ์—๋Ÿฌ๋ฅผ ๋‚ด์ง€ ์•Š์Œ. ๊ทธ์ € ๋นˆ ๋ฐฐ์—ด์„ ๋ฐ˜ํ™˜ํ•  ๋ฟ์ž„.** - - **์•„๋ฌด๋ฆฌ ํ˜ธ์ถœํ•ด๋„ ์›๋ณธ ๋ฐฐ์—ด ์ž์ฒด๋ฅผ ๋ฐ”๊พธ์ง€๋Š” ์•Š๋Š”๋‹ค.** - - ```javascript - const arr = [0,1,2,3,4,5,6,7,8,9,10]; - - const arr1 = arr.slice(2); // [2,3,4,5,6,7,8,9,10] - const arr2 = arr.slice(5,10); // [5,6,7,8,9] - const arr3 = arr.slice(12); // [] - ``` - - ### **โ—ผ๏ธŽ Array.forEach((element, index, array) => {})** - id:: 6869280c-f685-44c4-b73e-a33f351be582 - - **๋ฐฐ์—ด์˜ ๋ชจ๋“  ์š”์†Œ๋ฅผ ์ˆœ์„œ๋Œ€๋กœ ์ˆœํšŒํ•˜๋ฉด์„œ ์ฝ”๋“œ๋ฅผ ์‹คํ–‰ํ•˜๋Š” ๋งค์„œ๋“œ** - - **element(ํ˜„์žฌ ์š”์†Œ)๋Š” ๋ฐ˜๋“œ์‹œ ํ•„์š”ํ•˜๊ณ , index(ํ˜„์žฌ ์ธ๋ฑ์Šค)์™€ array(์›๋ณธ ๋ฐฐ์—ด)๋Š” ์ƒ๋žต ๊ฐ€๋Šฅํ•˜๋‹ค.** - - **๋ชจ๋“  ๋ฐฐ์—ด์„ ์ˆœํšŒํ•˜๋Š” ๋ฐ˜๋ณต๋ฌธ๊ณผ ๋น„์Šทํ•˜๊ฒŒ ์‚ฌ์šฉ์ด ๊ฐ€๋Šฅํ•˜๋‹ค** - - ๋‹จ ๋ฐ˜๋ณต๋ฌธ์—์„œ ์“ฐ์ด๋Š” continue๋‚˜ break๋Š” ์‚ฌ์šฉํ•  ์ˆ˜ ์—†๋‹ค. - - return์„ continue ์ฒ˜๋Ÿผ ์‚ฌ์šฉํ•  ์ˆ˜ ์žˆ๊ณ , break๋Š” ์‚ฌ์šฉํ•  ์ˆ˜ ์—†๋‹ค. - - ์ฆ‰ break๊ฐ€ ๊ผญ ํ•„์š”ํ•˜๋‹ค๋ฉด ๋ฐ˜๋ณต๋ฌธ์œผ๋กœ ๊ตฌํ˜„ํ•œ๋‹ค. - - ```javascript - const arr = [1,2,3,4,5]; - arr.forEach(v => { - if(v===3) return; - console.log(v); - }); - // 1 2 4 5 - ``` - - ### **โ—ผ๏ธŽ Array.reduce((acc, element, index) => {์ฝœ๋ฐฑํ•จ์ˆ˜}, initial value)** - id:: 6869298b-18fd-4524-a697-c1af9e510c34 - - **๋ฐฐ์—ด์˜ ๊ฐ ์š”์†Œ๋ณ„๋กœ ์ˆœํšŒํ•˜๋ฉฐ ๋ˆ„์ ์ž(acc)๋ฅผ ๊ณ„์‚ฐํ•˜๊ณ  ๋ชจ๋“  ์ˆœํšŒ๋ฅผ ๋งˆ์นœ ๋’ค์˜ ๋ˆ„์ ์ž๋ฅผ ๋ฐ˜ํ™˜ํ•˜๋Š” ๋งค์„œ๋“œ** - - **์ดˆ๊ธฐ๊ฐ’์„ ์ž…๋ ฅํ•˜์ง€ ์•Š์œผ๋ฉด ๊ธฐ๋ณธ์ ์œผ๋กœ acc๋Š” 0์œผ๋กœ ์ดˆ๊ธฐํ™” ๋œ ์ฑ„ ์‹คํ–‰๋œ๋‹ค.** - - **์ฝ”๋“œ๊ฐ€ ํ•œ์ค„์ด๋ฉด ๊ตณ์ด return์œผ๋กœ ๋ฐ˜ํ™˜์„ ํ•  ํ•„์š”๋Š” ์—†์œผ๋‚˜ ๊ณ„์‚ฐ์ฝ”๋“œ๊ฐ€ 2์ค„ ์ด์ƒ์ด๋ฉด ๋ˆ„์ ๊ฐ’์„ ์ง์ ‘ return ํ•ด์ฃผ์–ด์•ผ ํ•œ๋‹ค.** - - ```javascript - const arr = [1,2,3,4,5]; - const sum = arr.reduce((acc,v) => acc + v, 0); // 15 - const sum_odd = arr.reduce((acc,v) => { - if(v%2===0) return acc; - else return acc+v; - },0); //9 - ``` - - ### **โ—ผ๏ธŽ Array.sort((a,b)=>{์ฝœ๋ฐฑํ•จ์ˆ˜})** - id:: 686a6dfd-328e-4dd0-bd8a-abbef2ae13ee - - **๋ฐฐ์—ด์„ ์ •๋ ฌํ•˜๋Š” ๋งค์„œ๋“œ์ด๊ณ  ๊ธฐ๋ณธ์ ์œผ๋กœ ํŒŒ๋ผ๋ฏธํ„ฐ๋ฅผ ์ž…๋ ฅํ•˜์ง€ ์•Š์œผ๋ฉด ์˜ค๋ฆ„์ฐจ์ˆœ์œผ๋กœ ์ •๋ ฌํ•œ๋‹ค.** - - **๋ฐ˜ํ™˜๊ฐ’์€ ์—†๊ณ  ์›๋ณธ ๋ฐฐ์—ด ์ž์ฒด๋ฅผ ๋ณ€๊ฒฝํ•œ๋‹ค.** - - **์ด ์ •๋ ฌ ์•Œ๊ณ ๋ฆฌ์ฆ˜์€ ๋ฐฐ์—ด์˜ ๋ฐ์ดํ„ฐ๋ฅผ ๋ฌด์กฐ๊ฑด ๋ฌธ์žํ˜•์œผ๋กœ ๋ณด๊ณ  ์ •๋ ฌ(์‚ฌ์ „์ˆœ)ํ•˜๊ธฐ ๋•Œ๋ฌธ์— ์ˆซ์ž๋ฅผ ์ •๋ ฌํ•  ๋•Œ๋Š” ์ด์ƒํ•˜๊ฒŒ ์ •๋ ฌ์ด ๋  ์ˆ˜๋„ ์žˆ๋‹ค.** - - [10,2,5,9,8,7] ์„ ์˜ค๋ฆ„์ฐจ์ˆœ ์ •๋ ฌํ•˜๋ฉด [2,5,7,8,9,10] ์ด ๋˜์–ด์•ผ ํ•˜์ง€๋งŒ ์ด๊ฑธ ๋ฌธ์ž๋กœ ๋ณด๊ณ  ์ •๋ ฌํ•˜๊ธฐ ๋•Œ๋ฌธ์— ์‹ค์ œ๋กœ๋Š” [10,2,5,7,8,9] ๋กœ ์ •๋ ฌ๋œ๋‹ค. - - **์ˆซ์ž์— ๋Œ€ํ•ด์„œ ์ œ๋Œ€๋กœ ์ •๋ ฌํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š” ์ฝœ๋ฐฑํ•จ์ˆ˜๋ฅผ ๋„ฃ์–ด์ค˜์•ผ ํ•œ๋‹ค.** - - a์™€ b๋Š” ๊ฐ๊ฐ ์ธ๋ฑ์Šค ๊ธฐ์ค€์œผ๋กœ ๋ณด๋ฉด a๊ฐ€ b๋ณด๋‹ค ์•ž์„  ์ธ๋ฑ์Šค์— ์žˆ๋Š” ๋‘ ์š”์†Œ๋“ค์„ ์˜๋ฏธํ•œ๋‹ค. - - ์ด ๋‘ ์š”์†Œ ์‚ฌ์ด์˜ ์ธ๋ฑ์Šค ๊ฐ„๊ฒฉ์€ ์‹ ๊ฒฝ์“ฐ์ง€ ์•Š๋Š”๋‹ค. ๊ทธ์ € a๊ฐ€ ์•ž์— ์žˆ๋‹ค๋Š” ๊ฒƒ๋งŒ ๊ธฐ์–ตํ•˜์ž. - - ์ด๋•Œ ์ด a์™€ b์˜ ๊ด€๊ณ„์‹์„ ํ†ตํ•ด ์ฝœ๋ฐฑํ•จ์ˆ˜์˜ ๋ฐ˜ํ™˜๊ฐ’์„ ์„ค์ •ํ•ด์„œ ์ด ๊ด€๊ณ„์‹์ด ๋ชจ๋“  ์ •๋ ฌ์ด ๋๋‚œ ๋’ค์— ์ด ๋ฐ˜ํ™˜๊ฐ’์ด ๋ชจ๋‘ false๊ฐ€ ๋˜๋ฉด ์ •๋ ฌ์ด ์™„๋ฃŒ๋œ ๊ฒƒ์œผ๋กœ ์ทจ๊ธ‰ํ•œ๋‹ค. - - **์˜ˆ์‹œ** - - ```javascript - const arr = [5,9,7,4,3,2,8]; - arr.sort((a,b)=>a-b); //[2,3,4,5,7,8,9] ์˜ค๋ฆ„์ฐจ์ˆœ - // ์ด์ „ ์ธ๋ฑ์Šค ์š”์†Œ์™€ ๋‹ค์Œ ์ธ๋ฑ์Šค ์š”์†Œ์˜ ์ฐจ์ด๊ฐ€ ๋ชจ๋‘ ์–‘์ˆ˜๊ฐ€ ์•„๋‹ˆ๊ฒŒ ๋˜๋„๋ก ์ •๋ ฌํ•œ๋‹ค - arr.sort((a-b)=>b-a); //[9,8,7,5,4,3,2] ๋‚ด๋ฆผ์ฐจ์ˆœ - // ์ด์ „ ์ธ๋ฑ์Šค ์š”์†Œ์™€ ๋‹ค์Œ ์ธ๋ฑ์Šค ์š”์†Œ์˜ ์ฐจ์ด๊ฐ€ ๋ชจ๋‘ ์Œ์ˆ˜๊ฐ€ ์•„๋‹ˆ๊ฒŒ ๋˜๋„๋ก ์ •๋ ฌํ•œ๋‹ค - ``` - - ### **โ–บ Object ์ž๋ฃŒํ˜•** - - ### **โ—ผ๏ธŽ ์ •์˜ ๋ฐ ์„ ์–ธ ๋ฐ ์ ‘๊ทผ๋ฐฉ๋ฒ•** - id:: 6874a753-d361-4df8-8dd5-15bb865ac8df - - ํ‚ค(key)์™€ ๊ฐ’(value)์„ ๊ฐ€์ง€๋Š” ๋ฐ์ดํ„ฐ์˜ ์ง‘ํ•ฉ - - ์ž์ฒด์ ์œผ๋กœ๋Š” iterableํ•˜์ง€ ์•Š์Œ(๋ฐ˜๋ณต๊ฐ€๋Šฅํ•œ ์ž๋ฃŒํ˜•์ด ์•„๋‹˜) - - ๋”ฐ๋ผ์„œ for๋ฌธ์—์„œ ์ˆœํšŒํ•  ๋•Œ for ... in Object.keys(), Object.values(), Object.entries() ์™€ ๊ฐ™์€ ๋ฐฉ๋ฒ•์œผ๋กœ ์ˆœํšŒํ•ด์•ผํ•จ - - ํ‚ค๋Š” ๋ฌด์กฐ๊ฑด ๋ฌธ์ž์—ด๊ณผ ์‹ฌ๋ณผ๋งŒ ๊ฐ€๋Šฅํ•จ. - - ํ‚ค์˜ ์‚ฝ์ž… ์ˆœ์„œ๊ฐ€ ๋ณด์žฅ๋˜์ง€ ์•Š์Œ. - - ```javascript - // ๋นˆ๋ฐ์ดํ„ฐ ์ดˆ๊ธฐํ™” ๋ฐฉ๋ฒ• - let obj = {}; - - // ์ง์ ‘ ์„ ์–ธ ๋ฐฉ๋ฒ• - let obj = { - "name": "Yechan", - "age" : 30 - }; - - // ์ถœ๋ ฅ - console.log(obj.name); - console.log(obj["age"]); - // Yechan - // 30 - // ๋‘ ๋ฐฉ๋ฒ• ๋ชจ๋‘ ์‚ฌ์šฉ ๊ฐ€๋Šฅ - ``` - - ### **โ—ผ๏ธŽ ํ‚ค ๋ฐ ๊ฐ’ ์ˆœํšŒ** - - **for ... in** - id:: 6874a966-4831-47ed-b969-a7d6d6269a9b - - ๊ธฐ๋ณธ์ ์œผ๋กœ Object์˜ ํ‚ค๊ฐ’์„ ์ˆœํšŒํ•จ. - - ```javascript - let obj = { - "name": "Yechan", - "age" : 30 - }; - - for(let key in obj){ - console.log(obj[key]); - } - ``` - - **for ... of** - id:: 6874a9fd-e3da-475b-95d8-06889eb8ce56 - - ๊ฐ ๊ฐ์ฒด์˜ ๋งค์„œ๋“œ๋ฅผ ํ†ตํ•ด ํ‚ค, ๊ฐ’, ํ˜น์€ ๋‘˜ ๋‹ค๋ฅผ ์ง์ ‘ ๊ฐ€์ ธ์™€์„œ ์ˆœํšŒํ•ด์•ผํ•จ. - - ```javascript - let obj = { - "name": "Yechan", - "age" : 30 - }; - - for key of Object.keys(obj) { - console.log(key, obj[key]); - } - // name Yechan - // age 30 - - // key, value ์ˆœํšŒ - for [key, value] of Object.entries(obj) { - console.log(key, value); - } - // name Yechan - // age 30 - ``` - - ### **โ–บ ๋ฐ˜๋ณต๊ฐ€๋Šฅ ๊ฐ์ฒด์—์„œ์˜ ์ˆœํšŒ** - - ### **โ—ผ๏ธŽ ์ผ๋ฐ˜์ ์ธ ๋ฐฉ๋ฒ•(for๋ฌธ)** - id:: 6874a69f-d252-4666-813b-17e1e2b50101 - - for๋ฌธ์—์„œ of๋กœ ํ•˜๋‚˜์”ฉ ์ˆœํšŒํ•จ - - ```javascript - const num = [1,2,3,4,5]; - for(let n of num) { - console.log(n); - } - // 1 2 3 4 5 - ``` -- ## **โ– Python** - - ### **โ–บ ์ด์ฐจ์› ๋ฐฐ์—ด(n*m) ์ƒ์„ฑ** - id:: 6867f994-13d0-4937-90e9-d8aec7be5d67 - - ```python - arr = [[0]*m for _ in range(n)] - ``` - - ### **โ–บ ๋ฐฐ์—ด ๊ด€๋ จ ๋งค์„œ๋“œ** - - ### **โ—ผ๏ธŽ arr.count(value)** - id:: 686a721d-df2e-4662-a6dd-c235cce8c5ac - - ๋ฆฌ์ŠคํŠธ, ํ˜น์€ ๋ฌธ์ž์—ด์—์„œ ํŠน์ • ๊ฐ’์˜ ๊ฐœ์ˆ˜๋ฅผ ๋ฐ˜ํ™˜ํ•˜๋Š” ๋งค์„œ๋“œ - - ```python - string = "aaabbcccc" - print(string.count('a')) # 3 - print(string.count('b')) # 2 - print(string.count('c')) # 4 - - arr = [1,2,2,3,3,3,4,4,4,4] - print(arr.count(1)) # 1 - print(arr.count(2)) # 2 - print(arr.count(3)) # 3 - print(arr.count(4)) # 4 - ``` - - ### **โ—ผ๏ธŽ arr.sort()** - id:: 686a726b-38e3-4adc-836a-2d0856046e73 - - ์›๋ณธ ๋ฐฐ์—ด ์ž์ฒด๋ฅผ ์ •๋ ฌํ•˜๋Š” ๋งค์„œ๋“œ. - - ๊ธฐ๋ณธ๊ฐ’์€ ์˜ค๋ฆ„์ฐจ์ˆœ์ด๊ณ  ํŒŒ๋ผ๋ฏธํ„ฐ์— reverse=True ๋ฅผ ํ•˜๋ฉด ๋‚ด๋ฆผ์ฐจ์ˆœ์œผ๋กœ ์ •๋ ฌ๋จ. - - ๋ฌธ์ž์—ด์—๋„ ์ •๋ ฌ์ด ๊ฐ€๋Šฅํ•จ. - - ๋‹จ ๋ฌธ์ž์—ด์ด ๋ฌธ์ž๋“ค๋กœ ์ด๋ค„์ง„ ๋ฆฌ์ŠคํŠธ๋กœ ๋ฐ”๋€Œ๊ฒŒ ๋จ์œผ๋กœ ๋‹ค์‹œ ๋ฌธ์ž์—ด๋กœ ๋ฐ”๊พธ๊ธฐ ์œ„ํ•ด์„œ๋Š” join์„ ์ด์šฉํ•ด์„œ ํ•ฉ์ณ์ค˜์•ผํ•จ. - - ```python - arr = [5,8,2,4,9] - arr.sort() # 2 4 5 8 9 - arr.sort(reverse=True) # 9 8 5 4 2 - ``` - - ### **โ—ผ๏ธŽ sorted(arr)** - id:: 686a732c-734e-417c-b7e2-f3bfb8caa71b - - ๋ณ€์ˆ˜๋กœ ๋“ค์–ด์˜จ ๋ฐฐ์—ด์„ ์ •๋ ฌํ•œ ๋’ค ๊ทธ ๊ฒฐ๊ณผ๋ฅผ ๋ฐ˜ํ™˜ํ•˜๋Š” ๋งค์„œ๋“œ, ์ฆ‰ ๋ฐ˜ํ™˜๊ฐ’์ด ๋ฐฐ์—ด์ž„. - - ๊ธฐ๋ณธ๊ฐ’์€ ์˜ค๋ฆ„์ฐจ์ˆœ์ด๊ณ  ํŒŒ๋ผ๋ฏธํ„ฐ์— reverse=True ๋ฅผ ํ•˜๋ฉด ๋‚ด๋ฆผ์ฐจ์ˆœ์œผ๋กœ ์ •๋ ฌ๋จ. - id:: 686a734e-b423-486f-8ec7-e5491e310fe0 - - ```python - arr = [5,8,2,4,9] - arr1 = sorted(arr) - arr2 = sorted(arr, reverse=True) - print(arr1) :-> # 2 4 5 8 9 - print(arr2) # 9 8 5 4 2 - ``` -- ## **โ– C** -- ## **โ– Java** -- ## **โ– ํ”„๋กœ๊ทธ๋ž˜๋ฐ ๊ด€๋ จ ์ด๋ก  ์ •๋ฆฌ** - - ### **โ–บ ์•Œ๊ณ ๋ฆฌ์ฆ˜** - - ### **โ—ผ๏ธŽ ์ง„์ˆ˜๋ณ€ํ™˜ ์•Œ๊ณ ๋ฆฌ์ฆ˜** - - โ—‰ **B์ง„์ˆ˜ ์ˆซ์ž N์„ 10์ง„์ˆ˜๋กœ ๋ฐ”๊พธ๊ธฐ(๋ˆ„์ ๊ณฑ)** - id:: 687250f4-c492-4481-90b4-2894f302b02d - - ์ตœ์ข… ๋ณ€ํ™˜ ๊ฒฐ๊ณผ result ๋ฅผ 0์œผ๋กœ ์ดˆ๊ธฐํ™” - - B์ง„์ˆ˜ ์ˆซ์ž N์˜ ๊ฐ€์žฅ ์™ผ์ชฝ์ž๋ฆฌ๋ถ€ํ„ฐ ํ•œ์ž๋ฆฌ์”ฉ ์ˆœํšŒํ•˜๋ฉด์„œ ์ง„ํ–‰ - - ์ˆœํšŒํ•˜๋ฉฐ ์ฝ์€ ๊ฐ’์„ 10์ง„์ˆ˜๋กœ ๋ฐ”๊ฟˆ(10 ์ด์ƒ์˜ ์ˆ˜๋Š” A=10, B=11 ๋“ฑ๋“ฑ), ์ด ๊ฐ’์„ val๋กœ ์ง€์ • - - result = result*B + val - - ๋ชจ๋“  ์ž๋ฆฌ์ˆ˜์— ๋Œ€ํ•ด ์ˆ˜ํ–‰ํ•˜๊ณ  ๋‚˜๋ฉด ์ตœ์ข…์ ์œผ๋กœ result์— 10์ง„์ˆ˜๋กœ ๋ณ€ํ™˜๋œ ์ˆซ์ž๊ฐ€ ๋‚˜์˜ด. - - โ—‰ **10์ง„์ˆ˜ ์ˆซ์ž N์„ B์ง„์ˆ˜๋กœ ๋ฐ”๊พธ๊ธฐ(๋‚˜๋จธ์ง€ ๊ณ„์‚ฐ๋ฒ•)** - id:: 6872521b-6fe5-4b65-a929-38c176052368 - - ์ตœ์ข… ๋ณ€ํ™˜ ๊ฒฐ๊ณผ result ๋ฅผ ๋ฐฐ์—ด๋กœ์„œ ์ดˆ๊ธฐํ™” - - N์ด 0์ด ๋  ๋•Œ๊นŒ์ง€ ๋ฐ˜๋ณต๋ฌธ์„ ๋Œ๋ฆผ - - val = N%B - - ์ด๋•Œ ๊ณ„์‚ฐ๋œ val๊ฐ’์„ B์ง„์ˆ˜์— ๋งž๊ฒŒ ๋ณ€ํ™˜์—์„œ result ๋ฐฐ์—ด์— ์‚ฝ์ž…. - - ์•ž์—์„œ๋ถ€ํ„ฐ ์ˆœ์„œ๋Œ€๋กœ ๋„ฃ๋Š”๋‹ค. - - N = N//B - - result ๋ฐฐ์—ด์„ ๋งจ ๋งˆ์ง€๋ง‰ ์ธ๋ฑ์Šค๋ถ€ํ„ฐ ์—ญ์ˆœ์œผ๋กœ ์ฝ์œผ๋ฉด ๊ทธ๊ฒƒ์ด ์ตœ์ข… ๋ณ€ํ™˜ ๊ฒฐ๊ณผ. - - ### **โ—ผ๏ธŽ ์œ ํด๋ฆฌ๋“œ ํ˜ธ์ œ๋ฒ•(์ตœ์†Œ๊ณต๋ฐฐ์ˆ˜, ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜ ๊ตฌํ•˜๊ธฐ)** - - โ—‰ **์ตœ๋Œ€๊ณต์•ฝ์ˆ˜(GCD) ๊ตฌํ•˜๊ธฐ** - id:: 687253f3-7eb2-421e-b8c0-d9b96d4d7323 - - ์ž…๋ ฅํ•œ ๋‘ ์ˆ˜์˜ ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜๋ฅผ ๊ตฌํ•˜๋Š” ํ•จ์ˆ˜ GCD์—์„œ ์•„๋ž˜์˜ ๋‘ ๊ณต์‹์ด ์„ฑ๋ฆฝํ•œ๋‹ค. - - GCD(a, b) = GCD(b, a % b) - - GCD(a, 0) = a - - ์œ„์˜ ๊ณต์‹์„ ๋ฐ”ํƒ•์œผ๋กœ ๋‹ค์Œ์˜ ๊ณผ์ •์„ ํ†ตํ•ด ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜๋ฅผ ๊ตฌํ•œ๋‹ค.(a>=b) - - 1. r = a%b - - 2. a-b, b=r ๋กœ ๊ฐ’ ๊ฐฑ์‹  - - 3. b = 0์ด๋ฉด, a๊ฐ€ ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜ - - 4. b != 0์ด๋ฉด ๋‹ค์‹œ 1๋ฒˆ๋ถ€ํ„ฐ ์‹คํ–‰ - - ์œ ํด๋ฆฌ๋“œ ํ˜ธ์ œ๋ฒ• gcd ์˜ˆ์‹œ์ฝ”๋“œ - id:: 687255f3-27a7-4bef-a684-60daab2fa33f - - ์žฌ๊ท€๋ฐฉ์‹ - - ```python - def gcd(a,b): - return a if b==0 else gcd(b, a%b) - ``` - - ๋ฐ˜๋ณต๋ฌธ ๋ฐฉ์‹ - - ```python - def gcd(a,b): - while b: - a, b = b, a%b - return a - ``` - - โ—‰ **์ตœ์†Œ๊ณต๋ฐฐ์ˆ˜(LCM) ๊ตฌํ•˜๊ธฐ** - id:: 687256b1-be35-4052-a12e-133e2c3b2f50 - - ๋‘ ์ˆ˜ a,b์™€ ๊ทธ ์ˆ˜์˜ ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜(GCD)๋ฅผ ์•Œ๋ฉด a,b์˜ ์ตœ์†Œ๊ณต๋ฐฐ์ˆ˜(LCM)๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™๋‹ค. - - LCM = (a * b) / GCD - - ### **โ–บ ์‚ฌ์†Œํ•œ ํ…Œํฌ๋‹‰** - - ### **โ—ผ๏ธŽ ์†Œ์ˆ˜์  ์˜ฌ๋ฆผ ์—ฐ์‚ฐ(ceil)** - id:: 68725357-aae4-4805-9550-21927cf3731a - - ๋Œ€๋ถ€๋ถ„์˜ ์–ธ์–ด์—๋Š” ceil์ด๋ผ๋Š” ์˜ฌ๋ฆผ์—ฐ์‚ฐ ๋ฉ”์„œ๋“œ๋ฅผ ์ง€์›ํ•˜์ง€๋งŒ ์‚ฌ์šฉํ•  ์ˆ˜ ์—†๋Š” ํ™˜๊ฒฝ์ผ ๊ฒฝ์šฐ์—๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์ด ๊ณ„์‚ฐํ•œ๋‹ค. - - ```python - ceil(x/y) = (x+y-1)//y - ``` - - \ No newline at end of file diff --git a/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซ.md b/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซ.md deleted file mode 100755 index 3cf20d5..0000000 --- a/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซ.md +++ /dev/null @@ -1 +0,0 @@ -- \ No newline at end of file diff --git a/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซแ„‹แ…ตแ„Œแ…ฅแ†ซ.md b/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซแ„‹แ…ตแ„Œแ…ฅแ†ซ.md deleted file mode 100755 index 293ed15..0000000 --- a/logseq/.recycle/pages_๐Ÿ‘ฉ๐Ÿปโ€๐Ÿ’ปแ„แ…ฉแ„ƒแ…ตแ†ผ แ„แ…ตแ†ธ แ„แ…ฉแ„ƒแ…ณ แ„†แ…ฉแ„‹แ…ณแ†ท_แ„‹แ…ตแ„Œแ…ฅแ†ซแ„‹แ…ตแ„Œแ…ฅแ†ซ.md +++ /dev/null @@ -1,31 +0,0 @@ -## **โ– ํ”„๋กœ๊ทธ๋ž˜๋ฐ ๊ด€๋ จ ์ด๋ก  ์ •๋ฆฌ** - - ### **โ–บ ์•Œ๊ณ ๋ฆฌ์ฆ˜** - - ### **โ—ผ๏ธŽ ์œ ํด๋ฆฌ๋“œ ํ˜ธ์ œ๋ฒ•(์ตœ์†Œ๊ณต๋ฐฐ์ˆ˜, ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜ ๊ตฌํ•˜๊ธฐ)** - - โ—‰ **์ตœ๋Œ€๊ณต์•ฝ์ˆ˜(GCD) ๊ตฌํ•˜๊ธฐ** - id:: 687253f3-7eb2-421e-b8c0-d9b96d4d7323 - - ์ž…๋ ฅํ•œ ๋‘ ์ˆ˜์˜ ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜๋ฅผ ๊ตฌํ•˜๋Š” ํ•จ์ˆ˜ GCD์—์„œ ์•„๋ž˜์˜ ๋‘ ๊ณต์‹์ด ์„ฑ๋ฆฝํ•œ๋‹ค. - - GCD(a, b) = GCD(b, a % b) - - GCD(a, 0) = a - - ์œ„์˜ ๊ณต์‹์„ ๋ฐ”ํƒ•์œผ๋กœ ๋‹ค์Œ์˜ ๊ณผ์ •์„ ํ†ตํ•ด ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜๋ฅผ ๊ตฌํ•œ๋‹ค.(a>=b) - - 1. r = a%b - - 2. a-b, b=r ๋กœ ๊ฐ’ ๊ฐฑ์‹  - - 3. b = 0์ด๋ฉด, a๊ฐ€ ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜ - - 4. b != 0์ด๋ฉด ๋‹ค์‹œ 1๋ฒˆ๋ถ€ํ„ฐ ์‹คํ–‰ - - ์œ ํด๋ฆฌ๋“œ ํ˜ธ์ œ๋ฒ• gcd ์˜ˆ์‹œ์ฝ”๋“œ - id:: 687255f3-27a7-4bef-a684-60daab2fa33f - - ์žฌ๊ท€๋ฐฉ์‹ - - ```python - def gcd(a,b): - return a if b==0 else gcd(b, a%b) - ``` - - ๋ฐ˜๋ณต๋ฌธ ๋ฐฉ์‹ - - ```python - def gcd(a,b): - while b: - a, b = b, a%b - return a - ``` - - โ—‰ **์ตœ์†Œ๊ณต๋ฐฐ์ˆ˜(LCM) ๊ตฌํ•˜๊ธฐ** - id:: 687256b1-be35-4052-a12e-133e2c3b2f50 - - ๋‘ ์ˆ˜ a,b์™€ ๊ทธ ์ˆ˜์˜ ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜(GCD)๋ฅผ ์•Œ๋ฉด a,b์˜ ์ตœ์†Œ๊ณต๋ฐฐ์ˆ˜(LCM)๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™๋‹ค. - - LCM = (a * b) / GCD \ No newline at end of file diff --git a/logseq/config.edn b/logseq/config.edn deleted file mode 100755 index da68758..0000000 --- a/logseq/config.edn +++ /dev/null @@ -1,443 +0,0 @@ -{:meta/version 1 - - ;; Set the preferred format. - ;; Available options: - ;; - Markdown (default) - ;; - Org - ;; :preferred-format "Markdown" - - ;; Set the preferred workflow style. - ;; Available options: - ;; - :now for NOW/LATER style (default) - ;; - :todo for TODO/DOING style - :preferred-workflow :now - - ;; Exclude directories/files. - ;; Example usage: - ;; :hidden ["/archived" "/test.md" "../assets/archived"] - :hidden ["/claude.md"] - - ;; Define the default journal page template. - ;; Enter the template name between the quotes. - :default-templates - {:journals ""} - - ;; Set a custom date format for the journal page title. - ;; Default value: "MMM do, yyyy" - ;; e.g., "Jan 19th, 2038" - ;; Example usage e.g., "Tue 19th, Jan 2038" - ;; :journal/page-title-format "EEE do, MMM yyyy" - - ;; Specify the journal filename format using a valid date format string. - ;; !Warning: - ;; This configuration is not retroactive and affects only new journals. - ;; To show old journal files in the app, manually rename the files in the - ;; journal directory to match the new format. - ;; Default value: "yyyy_MM_dd" - ;; :journal/file-name-format "yyyy_MM_dd" - - ;; Enable tooltip preview on hover. - ;; Default value: true - :ui/enable-tooltip? true - - ;; Display brackets [[]] around page references. - ;; Default value: true - ;; :ui/show-brackets? true - - ;; Display all lines of a block when referencing ((block)). - ;; Default value: false - :ui/show-full-blocks? false - - ;; Automatically expand block references when zooming in. - ;; Default value: true - :ui/auto-expand-block-refs? true - - ;; Enable Block timestamps. - ;; Default value: false - :feature/enable-block-timestamps? false - - ;; Disable accent marks when searching. - ;; After changing this setting, rebuild the search index by pressing (^C ^S). - ;; Default value: true - :feature/enable-search-remove-accents? true - - ;; Enable journals. - ;; Default value: true - ;; :feature/enable-journals? true - - ;; Enable flashcards. - ;; Default value: true - ;; :feature/enable-flashcards? true - - ;; Enable whiteboards. - ;; Default value: true - ;; :feature/enable-whiteboards? true - - ;; Disable the journal's built-in 'Scheduled tasks and deadlines' query. - ;; Default value: false - ;; :feature/disable-scheduled-and-deadline-query? false - - ;; Specify the number of days displayed in the future for - ;; the 'scheduled tasks and deadlines' query. - ;; Example usage: - ;; Display all scheduled and deadline blocks for the next 14 days: - ;; :scheduled/future-days 14 - ;; Default value: 7 - ;; :scheduled/future-days 7 - - ;; Specify the first day of the week. - ;; Available options: - ;; - integer from 0 to 6 (Monday to Sunday) - ;; Default value: 6 (Sunday) - :start-of-week 6 - - ;; Specify a custom CSS import. - ;; This option takes precedence over the local `logseq/custom.css` file. - ;; Example usage: - ;; :custom-css-url "@import url('https://cdn.jsdelivr.net/gh/dracula/logseq@master/custom.css');" - - ;; Specify a custom JS import. - ;; This option takes precedence over the local `logseq/custom.js` file. - ;; Example usage: - ;; :custom-js-url "https://cdn.logseq.com/custom.js" - - ;; Set a custom Arweave gateway - ;; Default gateway: https://arweave.net - ;; :arweave/gateway "https://arweave.net" - - ;; Set bullet indentation when exporting - ;; Available options: - ;; - `:eight-spaces` as eight spaces - ;; - `:four-spaces` as four spaces - ;; - `:two-spaces` as two spaces - ;; - `:tab` as a tab character (default) - ;; :export/bullet-indentation :tab - - ;; Publish all pages within the Graph - ;; Regardless of whether individual pages have been marked as public. - ;; Default value: false - ;; :publishing/all-pages-public? false - - ;; Define the default home page and sidebar status. - ;; If unspecified, the journal page will be loaded on startup and the right sidebar will stay hidden. - ;; The `:page` value represents the name of the page displayed at startup. - ;; Available options for `:sidebar` are: - ;; - "Contents" to display the Contents page in the right sidebar. - ;; - A specific page name to display in the right sidebar. - ;; - An array of multiple pages, e.g., ["Contents" "Page A" "Page B"]. - ;; If `:sidebar` remains unset, the right sidebar will stay hidden. - ;; Examples: - ;; 1. Set "Changelog" as the home page and display "Contents" in the right sidebar: - ;; :default-home {:page "Changelog", :sidebar "Contents"} - ;; 2. Set "Jun 3rd, 2021" as the home page without the right sidebar: - ;; :default-home {:page "Jun 3rd, 2021"} - ;; 3. Set "home" as the home page and display multiple pages in the right sidebar: - ;; :default-home {:page "home", :sidebar ["Page A" "Page B"]} - - ;; Set the default location for storing notes. - ;; Default value: "pages" - ;; :pages-directory "pages" - - ;; Set the default location for storing journals. - ;; Default value: "journals" - ;; :journals-directory "journals" - - ;; Set the default location for storing whiteboards. - ;; Default value: "whiteboards" - ;; :whiteboards-directory "whiteboards" - - ;; Enabling this option converts - ;; [[Grant Ideas]] to [[file:./grant_ideas.org][Grant Ideas]] for org-mode. - ;; For more information, visit https://github.com/logseq/logseq/issues/672 - ;; :org-mode/insert-file-link? false - - ;; Configure custom shortcuts. - ;; Syntax: - ;; 1. + indicates simultaneous key presses, e.g., `Ctrl+Shift+a`. - ;; 2. A space between keys represents key chords, e.g., `t s` means - ;; pressing `t` followed by `s`. - ;; 3. mod refers to `Ctrl` for Windows/Linux and `Command` for Mac. - ;; 4. Use false to disable a specific shortcut. - ;; 5. You can define multiple bindings for a single action, e.g., ["ctrl+j" "down"]. - ;; The full list of configurable shortcuts is available at: - ;; https://github.com/logseq/logseq/blob/master/src/main/frontend/modules/shortcut/config.cljs - ;; Example: - ;; :shortcuts - ;; {:editor/new-block "enter" - ;; :editor/new-line "shift+enter" - ;; :editor/insert-link "mod+shift+k" - ;; :editor/highlight false - ;; :ui/toggle-settings "t s" - ;; :editor/up ["ctrl+k" "up"] - ;; :editor/down ["ctrl+j" "down"] - ;; :editor/left ["ctrl+h" "left"] - ;; :editor/right ["ctrl+l" "right"]} - :shortcuts {} - - ;; Configure the behavior of pressing Enter in document mode. - ;; if set to true, pressing Enter will create a new block. - ;; Default value: false - :shortcut/doc-mode-enter-for-new-block? false - - ;; Block content larger than `block/content-max-length` will not be searchable - ;; or editable for performance. - ;; Default value: 10000 - :block/content-max-length 10000 - - ;; Display command documentation on hover. - ;; Default value: true - :ui/show-command-doc? true - - ;; Display empty bullet points. - ;; Default value: false - :ui/show-empty-bullets? false - - ;; Pre-defined :view function to use with advanced queries. - :query/views - {:pprint - (fn [r] [:pre.code (pprint r)])} - - ;; Advanced queries `:result-transform` function. - ;; Transform the query result before displaying it. - :query/result-transforms - {:sort-by-priority - (fn [result] (sort-by (fn [h] (get h :block/priority "Z")) result))} - - ;; The following queries will be displayed at the bottom of today's journal page. - ;; The "NOW" query returns tasks with "NOW" or "DOING" status. - ;; The "NEXT" query returns tasks with "NOW", "LATER", or "TODO" status. - :default-queries - {:journals - [{:title "๐Ÿ”จ NOW" - :query [:find (pull ?h [*]) - :in $ ?start ?today - :where - [?h :block/marker ?marker] - [(contains? #{"NOW" "DOING"} ?marker)] - [?h :block/page ?p] - [?p :block/journal? true] - [?p :block/journal-day ?d] - [(>= ?d ?start)] - [(<= ?d ?today)]] - :inputs [:14d :today] - :result-transform (fn [result] - (sort-by (fn [h] - (get h :block/priority "Z")) result)) - :group-by-page? false - :collapsed? false} - {:title "๐Ÿ“… NEXT" - :query [:find (pull ?h [*]) - :in $ ?start ?next - :where - [?h :block/marker ?marker] - [(contains? #{"NOW" "LATER" "TODO"} ?marker)] - [?h :block/page ?p] - [?p :block/journal? true] - [?p :block/journal-day ?d] - [(> ?d ?start)] - [(< ?d ?next)]] - :inputs [:today :7d-after] - :group-by-page? false - :collapsed? false}]} - - ;; Add custom commands to the command palette - ;; Example usage: - ;; :commands - ;; [ - ;; ["js" "Javascript"] - ;; ["md" "Markdown"] - ;; ] - :commands - [ - ["c1" [[:editor/input "{{c1 }}"] [:editor/move-cursor -2]]] - ["ใ…Š1" [[:editor/input "{{c1 }}"] [:editor/move-cursor -2]]] - ["c2" [[:editor/input "{{c2 }}"] [:editor/move-cursor -2]]] - ["ใ…Š2" [[:editor/input "{{c2 }}"] [:editor/move-cursor -2]]] - ["extra" [[:editor/input "extra::"]]] - ["begin_end" [ - [:editor/input "#+BEGIN_EXTRA\n\n#+END_EXTRA"] - [:editor/move-cursor -12] - ] - ] - ] - - ;; Enable collapsing blocks with titles but no children. - ;; By default, only blocks with children can be collapsed. - ;; Setting `:outliner/block-title-collapse-enabled?` to true allows collapsing - ;; blocks with titles (multiple lines) and content. For example: - ;; - block title - ;; block content - ;; Default value: false - :outliner/block-title-collapse-enabled? false - - ;; Macros replace texts and will make you more productive. - ;; Example usage: - ;; Change the :macros value below to: - ;; {"poem" "Rose is $1, violet's $2. Life's ordered: Org assists you."} - ;; input "{{poem red,blue}}" - ;; becomes - ;; Rose is red, violet's blue. Life's ordered: Org assists you. -:macros { -} - - ;; Configure the default expansion level for linked references. - ;; For example, consider the following block hierarchy: - ;; - a [[page]] (level 1) - ;; - b (level 2) - ;; - c (level 3) - ;; - d (level 4) - ;; - ;; With the default value of level 2, block b will be collapsed. - ;; If the level's value is set to 3, block c will be collapsed. - ;; Default value: 2 - :ref/default-open-blocks-level 2 - - ;; Configure the threshold for linked references before collapsing. - ;; Default value: 100 - :ref/linked-references-collapsed-threshold 50 - - ;; Graph view configuration. - ;; Example usage: - ;; :graph/settings - ;; {:orphan-pages? true ; Default value: true - ;; :builtin-pages? false ; Default value: false - ;; :excluded-pages? false ; Default value: false - ;; :journal? false} ; Default value: false - - ;; Graph view configuration. - ;; Example usage: - ;; :graph/forcesettings - ;; {:link-dist 180 ; Default value: 180 - ;; :charge-strength -600 ; Default value: -600 - ;; :charge-range 600} ; Default value: 600 - - ;; Favorites to list on the left sidebar - :favorites ["๐Ÿ“‹ index page" "index page" "Index"] - - ;; Set flashcards interval. - ;; Expected value: - ;; - Float between 0 and 1 - ;; higher values result in faster changes to the next review interval. - ;; Default value: 0.5 - ;; :srs/learning-fraction 0.5 - - ;; Set the initial interval after the first successful review of a card. - ;; Default value: 4 - ;; :srs/initial-interval 4 - - ;; Hide specific block properties. - ;; Example usage: - ;; :block-hidden-properties #{:public :icon} - - ;; Create a page for all properties. - ;; Default value: true - :property-pages/enabled? true - - ;; Properties to exclude from having property pages - ;; Example usage: - ;; :property-pages/excludelist #{:duration :author} - - ;; By default, property value separated by commas will not be treated as - ;; page references. You can add properties to enable it. - ;; Example usage: - ;; :property/separated-by-commas #{:alias :tags} - - ;; Properties that are ignored when parsing property values for references - ;; Example usage: - ;; :ignored-page-references-keywords #{:author :website} - - ;; logbook configuration. - ;; :logbook/settings - ;; {:with-second-support? false ;limit logbook to minutes, seconds will be eliminated - ;; :enabled-in-all-blocks true ;display logbook in all blocks after timetracking - ;; :enabled-in-timestamped-blocks false ;don't display logbook at all - ;; } - - ;; Mobile photo upload configuration. - ;; :mobile/photo - ;; {:allow-editing? true - ;; :quality 80} - - ;; Mobile features options - ;; Gestures - ;; Example usage: - ;; :mobile - ;; {:gestures/disabled-in-block-with-tags ["kanban"]} - - ;; Extra CodeMirror options - ;; See https://codemirror.net/5/doc/manual.html#config for possible options - ;; Example usage: - ;; :editor/extra-codemirror-options - ;; {:lineWrapping false ; Default value: false - ;; :lineNumbers true ; Default value: true - ;; :readOnly false} ; Default value: false - - ;; Enable logical outdenting - ;; Default value: false - ;; :editor/logical-outdenting? false - - ;; Prefer pasting the file when text and a file are in the clipboard. - ;; Default value: false - ;; :editor/preferred-pasting-file? false - - ;; Quick capture templates for receiving content from other apps. - ;; Each template contains three elements {time}, {text} and {url}, which can be auto-expanded - ;; by receiving content from other apps. Note: the {} cannot be omitted. - ;; - {time}: capture time - ;; - {date}: capture date using current date format, use `[[{date}]]` to get a page reference - ;; - {text}: text that users selected before sharing. - ;; - {url}: URL or assets path for media files stored in Logseq. - ;; You can also reorder them or use only one or two of them in the template. - ;; You can also insert or format any text in the template, as shown in the following examples. - ;; :quick-capture-templates - ;; {:text "[[quick capture]] **{time}**: {text} from {url}" - ;; :media "[[quick capture]] **{time}**: {url}"} - - ;; Quick capture options. - ;; - insert-today? Insert the capture at the end of today's journal page (boolean). - ;; - redirect-page? Redirect to the quick capture page after capturing (boolean). - ;; - default-page The default page to capture to if insert-today? is false (string). - ;; :quick-capture-options - ;; {:insert-today? false ;; Default value: true - ;; :redirect-page? false ;; Default value: false - ;; :default-page "quick capture"} ;; Default page: "quick capture" - - ;; File sync options - ;; Ignore these files when syncing, regexp is supported. - ;; :file-sync/ignore-files [] - - ;; Configure the Enter key behavior for - ;; context-aware editing with DWIM (Do What I Mean). - ;; context-aware Enter key behavior implies that pressing Enter will - ;; have different outcomes based on the context. - ;; For instance, pressing Enter within a list generates a new list item, - ;; whereas pressing Enter in a block reference opens the referenced block. - ;; :dwim/settings - ;; {:admonition&src? true ;; Default value: true - ;; :markup? false ;; Default value: false - ;; :block-ref? true ;; Default value: true - ;; :page-ref? true ;; Default value: true - ;; :properties? true ;; Default value: true - ;; :list? false} ;; Default value: false - - ;; Configure the escaping method for special characters in page titles. - ;; Warning: - ;; This is a dangerous operation. To modify the setting, - ;; access the 'Filename format' setting and follow the instructions. - ;; Otherwise, You may need to manually rename all affected files and - ;; re-index them on all clients after synchronization. - ;; Incorrect handling may result in messy page titles. - ;; Available options: - ;; - :triple-lowbar (default) - ;; ;use triple underscore `___` for slash `/` in page title - ;; ;use Percent-encoding for other invalid characters - :file/name-format :triple-lowbar - :journal/page-title-format "yyyy-MM-dd EEEE" - :feature/enable-journals? false - :default-home {:page "๐Ÿ“‹ Index Page"} - :graph/forcesettings {:link-dist 10 - :charge-strength -1000} - :graph/settings {:builtin-pages? false - :excluded-pages? true - :orphan-pages? true - :journal? false}} diff --git a/logseq/custom.css b/logseq/custom.css deleted file mode 100755 index 92ddad1..0000000 --- a/logseq/custom.css +++ /dev/null @@ -1,5 +0,0 @@ -.page-title { - font-size: 1.em !important; - font-weight : bold !important; - color: #006400 !important; /* ์›ํ•˜๋Š” ์ƒ‰์ƒ์œผ๋กœ ๋ณ€๊ฒฝ */ -}