From 33c0ef87953ff1ac6768a6e0137d620c32e328b3 Mon Sep 17 00:00:00 2001 From: Sasserisop Date: Fri, 27 Oct 2023 09:50:38 -0600 Subject: [PATCH] prepared to add support for displaying exalidraw drawings --- content/Dirak δ-function (lec 21).md | 6 +- .../Drawing 2023-09-15 13.32.48.excalidraw.md | 20746 ---------- .../Drawing 2023-09-29 13.34.34.excalidraw.md | 22869 ---------- .../Drawing 2023-10-02 13.02.06.excalidraw.md | 34435 ---------------- .../Drawing 2023-10-06 13.24.11.excalidraw.md | 20534 --------- .../Drawing 2023-10-11 13.17.32.excalidraw.md | 10616 ----- .../Drawing 2023-10-11 13.21.18.excalidraw.md | 6231 --- .../Drawing 2023-10-20 13.06.35.excalidraw.md | 4439 -- .../Drawing 2023-10-20 13.27.58.excalidraw.md | 2799 -- .../Drawing 2023-10-25 13.16.20.excalidraw.md | 4033 -- .../Drawing 2023-10-25 13.43.26.excalidraw.md | 23013 ----------- .../Drawing 2023-09-15 13.32.48.excalidraw.md | 2867 ++ ...Drawing 2023-09-15 13.32.48.excalidraw.png | Bin 0 -> 87581 bytes .../Drawing 2023-09-29 13.34.34.excalidraw.md | 3644 ++ ...Drawing 2023-09-29 13.34.34.excalidraw.png | Bin 0 -> 103403 bytes .../Drawing 2023-10-02 13.02.06.excalidraw.md | 4840 +++ ...Drawing 2023-10-02 13.02.06.excalidraw.png | Bin 0 -> 155409 bytes .../Drawing 2023-10-06 13.24.11.excalidraw.md | 2164 + ...Drawing 2023-10-06 13.24.11.excalidraw.png | Bin 0 -> 85783 bytes .../Drawing 2023-10-11 13.17.32.excalidraw.md | 1428 + ...Drawing 2023-10-11 13.17.32.excalidraw.png | Bin 0 -> 45219 bytes .../Drawing 2023-10-11 13.21.18.excalidraw.md | 868 + ...Drawing 2023-10-11 13.21.18.excalidraw.png | Bin 0 -> 40803 bytes .../Drawing 2023-10-20 13.06.35.excalidraw.md | 664 + ...Drawing 2023-10-20 13.06.35.excalidraw.png | Bin 0 -> 19740 bytes .../Drawing 2023-10-20 13.27.58.excalidraw.md | 558 + ...Drawing 2023-10-20 13.27.58.excalidraw.png | Bin 0 -> 12830 bytes .../Drawing 2023-10-25 13.16.20.excalidraw.md | 554 + ...Drawing 2023-10-25 13.16.20.excalidraw.png | Bin 0 -> 18935 bytes .../Drawing 2023-10-25 13.43.26.excalidraw.md | 2190 + ...Drawing 2023-10-25 13.43.26.excalidraw.png | Bin 0 -> 97206 bytes content/drawings/LTtable.PDF | Bin 0 -> 14333 bytes content/drawings/LaplaceTable.pdf | Bin 0 -> 75501 bytes 33 files changed, 19781 insertions(+), 149717 deletions(-) delete mode 100644 content/Drawing 2023-09-15 13.32.48.excalidraw.md delete mode 100644 content/Drawing 2023-09-29 13.34.34.excalidraw.md delete mode 100644 content/Drawing 2023-10-02 13.02.06.excalidraw.md delete mode 100644 content/Drawing 2023-10-06 13.24.11.excalidraw.md delete mode 100644 content/Drawing 2023-10-11 13.17.32.excalidraw.md delete mode 100644 content/Drawing 2023-10-11 13.21.18.excalidraw.md delete mode 100644 content/Drawing 2023-10-20 13.06.35.excalidraw.md delete mode 100644 content/Drawing 2023-10-20 13.27.58.excalidraw.md delete mode 100644 content/Drawing 2023-10-25 13.16.20.excalidraw.md delete mode 100644 content/Drawing 2023-10-25 13.43.26.excalidraw.md create mode 100644 content/drawings/Drawing 2023-09-15 13.32.48.excalidraw.md create mode 100644 content/drawings/Drawing 2023-09-15 13.32.48.excalidraw.png create mode 100644 content/drawings/Drawing 2023-09-29 13.34.34.excalidraw.md create mode 100644 content/drawings/Drawing 2023-09-29 13.34.34.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-02 13.02.06.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-02 13.02.06.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-06 13.24.11.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-06 13.24.11.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-11 13.17.32.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-11 13.17.32.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-11 13.21.18.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-11 13.21.18.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-20 13.06.35.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-20 13.06.35.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-20 13.27.58.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-20 13.27.58.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-25 13.16.20.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-25 13.16.20.excalidraw.png create mode 100644 content/drawings/Drawing 2023-10-25 13.43.26.excalidraw.md create mode 100644 content/drawings/Drawing 2023-10-25 13.43.26.excalidraw.png create mode 100644 content/drawings/LTtable.PDF create mode 100644 content/drawings/LaplaceTable.pdf diff --git a/content/Dirak δ-function (lec 21).md b/content/Dirak δ-function (lec 21).md index 8916318..203819e 100644 --- a/content/Dirak δ-function (lec 21).md +++ b/content/Dirak δ-function (lec 21).md @@ -37,12 +37,14 @@ $w(t)=\frac{1}{4}\mathcal{L}^{-1}\left\{ \frac{1}{s+1} - \frac{1}{s+5} \right\}+ $=\underbrace{ \frac{1}{4}(e^{-t}-e^{ -5t }) }_{ \text{this came from initial conditions} }+\dots$ $\mathcal{L}^{-1}\{e^{as}F(s)\}=f(t-a)u(t-a)$ $$y(t)= \frac{1}{4}(e^{-t}-e^{ -5t }) +\frac{e}{4}u(t-1)(e^{ -(t-1) }-e^{ -5(t-1) })$$ -notice that this RHS came from the impulse delta and the effect it has on the system. +notice that the right most term came from the impulse and the effect it had on the system. side note: delta functions are useful for quantum physics. Lets start modelling some electric circuits again: ![[Drawing 2023-10-25 13.43.26.excalidraw]] -$0.2I_{1}+0.1I_{3}'+2I_{1}=g(t)$ +the circuit is starts switched on and is then switched off at $t=1$ +Applying KVL: +$0.2I_{1}+0.1I_{3}'+2I_{1}=g(t) \qquad \text{where } g(t)=\begin{cases}6, & 0\leq t\leq 1 \\0, & 1#ZiN|98`QrV&uAv^VmXi&0eDM^+g`)(R3m1JKBqhe&2W$Z(XC9)ek zBl|uX>kP)Z$5Ni}`TqVsuh%)}pXU*u&;7aYYro#tb=|Ku)RYb#ICX%Eit5lU<$vx{ zQPI{?QSFta+XsI0S^23A_}?CfyGqxoG8;}$P*HJG-TFu2o~zMxpZX`QiFl4#C;A_p zCM>>=!cAX&&(o+Ldeo$0nV@87c@usqjT-J7rc*s~k^aX&Sv*(YH(%Hfe-@!8+>%pG zF8av+DO|52CviW0&BbK+1ujR<_b^Xq@46C0^YuRS8L#&KRXxsr1M@7GGW>j|gY;@{ z|GF1!E)qtJgy~(QJHjddjA{=x&A)%Bh&ZrzT?3OOV%zy2f7yQaGV_tJlB55AX=fRe zG+LSw1DW-G>i=bB@Q{!F^3J3G@ql&yvjoqyWZVG#f8Cb6#w`1P-7Xb8HqC0o1dbq?c4j`50Z_g_90}%dq3y>Z*-vAqfq4WADc|q81Uop=CkQ7ytCHKv3|#n zF#LnXs4HoU7;qlSE6@LZK=4X#qpSdCb+%-%Y`I?`UJi!&Do}E4YqOkuE{y*^FI?uh zvV43(skBjs%a9Iv+0Jlfx#RD_j8y<^=Qq`S(Fj(W=E>yR)`36bKkbx4BeQ 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+--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ATm1YhJo6IIR9BA4oZm4AbXAwUDBS + +6HhxdAAzQIRPKn4yxhZ2LjQAVgAWRshm1k4AOU4xbliAdk6ADnaxyYA2WO6iyEJm + +ABEMqDruKoIwnogSbggOAYBmUgB1ACVSACsAZXwAazOYek6AMUlLgAUzNKlSBVQj + +4fAPWDBY6SXDYDSBQFlZhQUhsZ4IS4kdSjA7I1HoiEwKESQQeRGQVF+SQccJ5NCx + +A5sOCwtQwUYABnZB2symJqC5ywgmG4zk67M62h4c3F7S67ISczmPAZgrZaGcZy62 + +nai0W7J4Z2lUrGuJRaIQAGE2Pg2KRjgBiWIIJ1O8kQTSw57KSkcYhWm12iQo6zMZ + +mBHJuihYySjObaSZneUGnjsuZnTo8MYJA6SBCEZTSbhnMZnbRjNNnSbssYlyYJet + +LIEQMLbeny9r6qs8PiC73COAASWIdNQ+QAugcargskPuBwhGCDj7iDTmCP54vBZp + +hL6AKLBLI5Efjg5CODEXBbYixhWZw2chMmwVEDjPOcL/AHG3YdHXtC7fB9kFOA2E + 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b/content/drawings/Drawing 2023-10-06 13.24.11.excalidraw.md new file mode 100644 index 0000000..128f250 --- /dev/null +++ b/content/drawings/Drawing 2023-10-06 13.24.11.excalidraw.md @@ -0,0 +1,2164 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ATm1YhJo6IIR9BA4oZm4AbXAwUDBS + +6HhxdAAzQIRPKn4yxhZ2LjQAZnbGyGbWTgA5TjFuAHYeHliADnaeBITuiEJmABEM + +qDruKoIwhZJuCAAWAAV8AFlV5QB5LecAMUlmAEFTgEUXuBeATTTSyCrCfD4ADKsG + +C+0kuGwGkCPzKzCgpDYAGsEAB1EjqbixBbwxEokEwMESQQeWGQRF+SQccJ5NDYoq + +QNhwSFqGBYgAM7IW1mURNQXIZEEw3Gc7QArPEDmLObFxuyRuz2rKxQs2WhnLMkgA + +2doHdpzA6xA7srU8FWC3HIhAAYTY+DYpH2AGJYghXa6yRBNJCkcoKRxiLb7Y6JAj + 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+1,868 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ATm1YhJo6IIR9BA4oZm4AbXAwUDBS + +6HhxdAAzQIRPKn4yxhZ2LjQeWMbIZtZOADlOMW5YgAYAVh4ADgA2MZHpya6IQmYA + +EQyoOu4qgjClkm4pKud6ekl9KABRAGFlAFUAZQApADVnI01rsYB1NNLIKqEfD4B6 + +wYKHSS4bAaQJ/MrMKCkNgAawQ3xI6mGSwRSNRoJg4Ikgg8cMgSL8kg44TyaE6RUg + +bDgULUMGGIxGS2sykJqA59IgmG4zgAzAkkgkACwLBaTBLTCWTCUSpastAinjTbQj + +YUS0XC4WjMZShLYxEohDXNj4NikQ4AYliCEdjtJEE0UORynJHGIluttokiOszCZg + +RyrooGMk3Dm2lFYum+oA7LL5jwxktJAhCMppNwJUntBL2eyErExhMkzrlfywls0J + +MkymEimk9Mll7hHAAJLEGmofIAXSWNVwWV73A4QmBS29xCpzH7U5n/M0wh9l2CWR + +y/aHSyEcGIuE2xGG0xb4x4I0VY1ii35RA4yMn0/wS2t2FRp7QO3we35cBsIQO4FP + 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+--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ATm1YhJo6IIR9BA4oZm4AbXAwUDBS + +6HhxdAAzQIRPKn4yxhZ2LjQAZgTGyGbWTgA5TjFuABYEgAYeCYA2AFY+IshCZgAR + +DKg67iqCMO6IEm4IIQAZACV6ODYEAEdCAEkV5li7gEUAYUcACWJ2tNLIKqEfD4AD + +KsGCh0kuGwGkCfzKzCgpDYAGsEAB1EjqbixPaI5FosEwCESQQeeGQZF+SQccJ5NC + +4xYQNhwaFqGA48bjPbWZQk1DcpmYbjOFI8bQADgA7LEJbNptMJQkRrN2rEFv8IBy + +0M4eOrtNN2iNOsrYiNxtMeLM8UjUQg3mx8GxSIcAMSxBAej0UiCaaEo5RUjjEB1O + +l0SJHWZiswI5H0ULGSbg8cbac1cngjEZmi1WvaSBCEZTSbjtcYjSVc8sSiU8CXq6 + +1MsKbBlGiXtCXjCaCzWB4RwO7EemofIAXT2NVwWUH3A4QmBeyDxFpzGHc4XTM0wm + +DAFFglkcsOx3shHBiLgNsQcdMElL21ya0aRnsiBwUbP5/gX2xsGir2htnwXYmUuQ + +hDwKRYwEKf5Sh7GDxkg8dIOg+DtFmBIMKlWZZjlBJ2iw7pYMQwiUP+VN0Mw7DcPw + 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