diff options
Diffstat (limited to 'FSF-2020/linear-algebra/linear-transformations/Orthonormal Basis/file2_OrthonormalBasis.py')
-rw-r--r-- | FSF-2020/linear-algebra/linear-transformations/Orthonormal Basis/file2_OrthonormalBasis.py | 82 |
1 files changed, 0 insertions, 82 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/Orthonormal Basis/file2_OrthonormalBasis.py b/FSF-2020/linear-algebra/linear-transformations/Orthonormal Basis/file2_OrthonormalBasis.py deleted file mode 100644 index 0a28f22..0000000 --- a/FSF-2020/linear-algebra/linear-transformations/Orthonormal Basis/file2_OrthonormalBasis.py +++ /dev/null @@ -1,82 +0,0 @@ -from manimlib.imports import * -class OrthonormalBasis(GraphScene): - CONFIG = { - "x_min" : -6, - "x_max" : 6, - "y_min" : -4, - "y_max" : 4, - "graph_origin" : ORIGIN , -} - - def construct(self): - self.setup_axes(animate=True) - - XTD = self.x_axis_width/(self.x_max-self.x_min) - YTD = self.y_axis_height/(self.y_max-self.y_min) - - arrow1 = Arrow(start = ORIGIN,end = 0.707*YTD*UP+0.707*XTD*RIGHT) - arrow1.scale(2.25) - arrow1.set_color(DARK_BLUE) - - arrow2 = Arrow(start = ORIGIN,end = 0.707*YTD*UP+0.707*XTD*LEFT) - arrow2.scale(2.25) - arrow2.set_color(DARK_BLUE) - - square = Polygon(UP*0.4*YTD,0.2*(YTD*UP+XTD*RIGHT),ORIGIN,0.2*(YTD*UP+XTD*LEFT)) - square.set_color(DARK_BLUE) - self.play(ShowCreation(arrow2), ShowCreation(arrow1), ShowCreation(square)) - - ortho = TextMobject("Orthonormal Vectors") - ortho.scale(0.75) - ortho.move_to(DOWN+3*RIGHT) - self.play(Write(ortho)) - self.wait() - self.play(FadeOut(ortho)) - - arrow3 = Arrow(start = ORIGIN,end = YTD*3*UP+XTD*LEFT) - arrow3.scale(1.25) - arrow3.set_color(GOLD_E) - self.play(ShowCreation(arrow3)) - - arrow4 = Arrow(start = ORIGIN,end = YTD*UP+XTD*RIGHT) - arrow4.scale(1.8) - arrow4.set_color(GOLD_A) - - arrow5 = Arrow(start = ORIGIN,end = 2*YTD*UP-2*XTD*RIGHT) - arrow5.scale(1.3) - arrow5.set_color(GOLD_A) - - self.play(ShowCreation(arrow5), ShowCreation(arrow4)) - - self.wait() - - self.play(FadeOut(arrow1), FadeOut(arrow2), FadeOut(square)) - - self.wait() - - text1 = TextMobject(r"$<v,v_1> v_1$") - text1.move_to(UP+2*RIGHT) - text1.scale(0.75) - text2 = TextMobject(r"$<v,v_2> v_2$") - text2.move_to(UP+3*LEFT) - text2.scale(0.75) - - text3 = TextMobject("v") - text3.move_to(YTD*3.5*UP+XTD*1.5*LEFT) - - self.play(Write(text1), Write(text2), Write(text3)) - self.wait() - - line1 = DashedLine(start = YTD*UP+XTD*RIGHT, end = YTD*3*UP+XTD*1*LEFT) - line2 = DashedLine(start = YTD*2*UP+XTD*2*LEFT, end = YTD*3*UP+XTD*1*LEFT) - self.play(ShowCreation(line1),ShowCreation(line2)) - - self.wait() - - text = TextMobject(r"$v$ is the sum of projections","on the orthonormal vectors") - text[0].move_to(DOWN+3.2*RIGHT) - text[1].move_to(1.5*DOWN+3.2*RIGHT) - self.play(Write(text)) - self.wait(2) - self.play(FadeOut(arrow3), FadeOut(arrow4), FadeOut(arrow5), FadeOut(text1), FadeOut(text2), FadeOut(text3), FadeOut(self.axes), FadeOut(line1), FadeOut(line2)) - self.play(FadeOut(text)) |