Beispiele 1D vs 2D - Revision history

Sven.guyet: Inhalt obsolet; Seite kann gelöscht werden

2023-01-18T18:38:10Z

Inhalt obsolet; Seite kann gelöscht werden

Sven.guyet at 17:30, 18 January 2023

2023-01-18T17:30:10Z

Sven.guyet: Seitentitel neu

2023-01-18T17:19:39Z

Seitentitel neu

New page

{| class="wikitable" style="margin:auto"
! 1D-Eingabe !! 2D-Eingabe !! Ergebnis
|-
| (a+b)^2 || [[File:example01.png|100px]] || \( (a + b)^2 \)
|-
| sin(pi/4) || [[File:example02.png|100px]] || \( \sin \left( \frac{\pi}{4} \right) \)
|-
| a^2 + 2 a b + b^2 || [[File:example03.png|150px]] || \( a^2 + 2 a \, b + b^2 \)
|-
| 1/sqrt(1+x^2) || [[File:example04.png|100px]] || \( \frac{1}{\sqrt{1+x^2}} \)
|-
| x^3/2 || [[File:example05.png|50px]] || \( \frac{x^3}{2} \)
|-
| x^(3/2)|| [[File:example06.png|80px]] || \( x^{\frac{3}{2}} \)
|-
| { (x,y) in RR^2 : 1<=x<=2, -x <= y <= 1+x^2} || [[File:example07.png|350px]] || \( \left\{ (x,y) \in \mathbb{R}^2 : 1 \le x \le 2, -x \le y \le 1+x^2 \right\} \)
|-
| LL = { (1,2,-1,3)^T + t (1,-1,2,-1) : t in RR } || [[File:example08.png|350px]] || \( \mathbb{L} = \big\{ (1,2,-1,3)^T + t \; (1,-1,2,-1) : t \in \mathbb{R} \big\} \)
|-
| || [[File:example17.png|350px]] ||
|-
| 90^o - 30^o || [[File:example09.png|100px]] || \( 90^\circ - 30^\circ \)
|-
| (-oo,-1) uu [2,oo)|| [[File:example10.png|200px]] || \( ( -\infty, -1) \cup [2,\infty) \)
|-
| a != 2 => L = {1/2}|| [[File:example11.png|200px]] || \( a \neq 2 \Rightarrow L = \left\{ \frac{1}{2} \right\} \)
|-
| (-2,3) nn (3,4) = {} || [[File:example12.png|200px]] || \( (-2,3) \cap (3,4) = \{\} \)
|-
| g : vec(x) = vec(p) + t vec(a), t in RR || [[File:example13.png|250px]] || \( g: \vec{x} = \vec{p} + t \vec{a}, t \in \mathbb{R} \)
|-
| 2 x_1 - 4 x_2 + 5 x_3 = -7 || [[File:example14.png|200px]] || \( 2 x_1 - 4 x_2 + 5 x_3 = -7 \)
|-
| int 1/(1+x^2) dx = arctan(x) + C, C in RR || [[File:example15.png|350px]] || \( \displaystyle \int \frac{1}{1+x^2} \, dx = \arctan(x) + C, C \in \mathbb{R} \)
|-
| ln|x-1| || [[File:example16.png|100px]] || \( \ln(| x-1 |) \)
|}

← Older revision		Revision as of 18:38, 18 January 2023
Line 1:		Line 1:
−	~~{\| class="wikitable" style="margin:auto"~~	+	Diese Seite ist obsolet und kann vom Admin gelöscht werden. Die Beispiele wurden in die einzelnen Seiten zur 1D- bzw. 2D-Eingabe integriert.
−	~~! 1Dx-Eingabe !! 2D-Eingabe !! Ergebnis~~
−	\|-
−	~~\| (a+b)^2 \|\| [[File:example01.png\|100px]] \|\| \( (a + b)^2 \)~~
−	\|-
−	~~\| sin(pi/4) \|\| [[File:example02~~.~~png\|100px]] \|\| \( \sin \left( \frac{\pi}{4} \right) \)~~
−	\|-
−	~~\| a^2 + 2 a b + b^2 \|\| [[File:example03.png\|150px]] \|\| \( a^2 + 2 a \, b + b^2 \)~~
−	\|-
−	~~\| 1/sqrt(1+x^2) \|\| [[File:example04.png\|100px]] \|\| \( \frac{1}{\sqrt{1+x^2}} \)~~
−	\|-
−	~~\| x^3/2 \|\| [[File:example05.png\|50px]] \|\| \( \frac{x^3}{2} \)~~
−	\|-
−	~~\| x^(3/2)\|\| [[File:example06.png\|80px]] \|\| \( x^{\frac{3}{2}} \)~~
−	\|-
−	~~\| { (x,y)~~ in ~~RR^2 : 1<=x<=2,~~ -~~x <= y <= 1+x^2} \|\| [[File:example07~~.~~png\|350px]] \|\| \( \left\{ (x,y) \in \mathbb{R}^2 : 1 \le x \le 2,~~ -~~x \le y \le 1+x^2 \right\} \)~~
−	\|-
−	~~\| LL = { (1,2,-1,3)^T + t (1,-1,2,-1) : t in RR } \|\| [[File:example08.png\|350px]] \|\| \( \mathbb{L} = \big\{ (1,2,-1,3)^T + t \; (1,-1,2,-1) : t \in \mathbb{R} \big\} \)~~
−	\|-
−	~~\| \|\| [[File:example17~~.~~png\|350px]] \|\|~~
−	\|-
−	~~\| 90^o - 30^o \|\| [[File:example09.png\|100px]] \|\| \( 90^\circ - 30^\circ \)~~
−	\|-
−	~~\| (-oo,-1) uu [2,oo)\|\| [[File:example10.png\|200px]] \|\| \( ( -\infty, -1) \cup [2,\infty) \)~~
−	\|-
−	~~\| a != 2 => L = {1/2}\|\| [[File:example11.png\|200px]] \|\| \( a \neq 2 \Rightarrow L = \left\{ \frac{1}{2} \right\} \)~~
−	\|-
−	~~\| (-2,3) nn (3,4) = {} \|\| [[File:example12.png\|200px]] \|\| \( (-2,3) \cap (3,4) = \{\} \)~~
−	\|-
−	~~\| g : vec(x) = vec(p) + t vec(a), t in RR \|\| [[File:example13.png\|250px]] \|\| \( g: \vec{x} = \vec{p} + t \vec{a}, t \in \mathbb{R} \)~~
−	\|-
−	~~\| 2 x_1 - 4 x_2 + 5 x_3 = -7 \|\| [[File:example14.png\|200px]] \|\| \( 2 x_1 - 4 x_2 + 5 x_3 = -7 \)~~
−	\|-
−	~~\| int 1/(1+x^2) dx = arctan(x) + C, C in RR \|\| [[File:example15.png\|350px]] \|\| \( \displaystyle \int \frac{1}{1+x^2} \, dx = \arctan(x) + C, C \in \mathbb{R} \)~~
−	\|-
−	~~\| ln\|x-1\| \|\| [[File:example16.png\|100px]] \|\| \( \ln(\| x-1 \|) \)~~
−	\|}

@@ Line 1: / Line 1: @@
 {| class="wikitable" style="margin:auto"
-! 1D-Eingabe !! 2D-Eingabe !! Ergebnis
+! 1Dx-Eingabe !! 2D-Eingabe !! Ergebnis
 |-
 | (a+b)^2 || [[File:example01.png|100px]] || \( (a + b)^2 \)