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Diffstat (limited to 'FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file2_projections.py')
| -rwxr-xr-x | FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file2_projections.py | 79 |
1 files changed, 0 insertions, 79 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file2_projections.py b/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file2_projections.py deleted file mode 100755 index dd4b8d4..0000000 --- a/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file2_projections.py +++ /dev/null @@ -1,79 +0,0 @@ -from manimlib.imports import * - -class Projections(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) - - arrow_a = Arrow(start = ORIGIN, end = 4*XTD*RIGHT) - arrow_a.scale(1.2) - arrow_a.set_color(DARK_BLUE) - arrow_b = Arrow(start = ORIGIN, end = 2*YTD*UP+2*XTD*RIGHT) - arrow_b.scale(1.3) - arrow_b.set_color(DARK_BLUE) - self.play(ShowCreation(arrow_a), ShowCreation(arrow_b)) - - text = TextMobject(r"Consider 2 linearly independent vectors $a$ and $b$") - text.set_color(DARK_BLUE) - text.scale(0.6) - text.move_to(3*YTD*UP+5*XTD*LEFT) - text_a = TextMobject("a") - text_a.move_to(0.4*YTD*DOWN+3*XTD*RIGHT) - text_a.set_color(DARK_BLUE) - text_b = TextMobject("b") - text_b.move_to(1.5*YTD*UP+RIGHT*XTD) - text_b.set_color(DARK_BLUE) - - self.play(Write(text),Write(text_a), Write(text_b)) - self.wait() - - arrow_b_copy = Arrow(start = ORIGIN, end = 2*YTD*UP+2*XTD*RIGHT) - arrow_b_copy.scale(1.25) - - arrow_p = Arrow(start = ORIGIN, end = 2*XTD*RIGHT) - arrow_p.scale(1.5) - arrow_p.set_color(GOLD_E) - - text_p = TextMobject("p") - text_p.move_to(0.25*DOWN+RIGHT) - text_p.set_color(GOLD_E) - - self.play(FadeOut(text), Transform(arrow_b_copy,arrow_p), FadeOut(text_a), FadeOut(text_b)) - text = TextMobject(r"$p$ is the projection of $b$ on $a$") - text.set_color(GOLD_E) - text.move_to(3*UP+4*LEFT) - text.scale(0.8) - self.play(Write(text),Write(text_p)) - self.wait() - - self.play(FadeIn(text_a), FadeIn(text_b)) - - arrow_o = Arrow(start = 2*XTD*RIGHT, end = 2*YTD*UP+2*XTD*RIGHT) - arrow_o.scale(1.5) - arrow_o.set_color(GREEN_E) - - text_o = TextMobject("b-p") - text_o.move_to(UP*YTD+2.7*XTD*RIGHT) - text_o.set_color(GREEN_E) - - self.play(ShowCreation(arrow_o)) - self.play(FadeOut(text),Write(text_o)) - - text = TextMobject(r"Observe, ($b-p$) is orthogonal to $a$") - text.set_color(GREEN_E) - text.move_to(2*DOWN+4*LEFT) - text.scale(0.8) - self.play(Write(text)) - self.wait(2) - - self.play(FadeOut(self.axes), FadeOut(arrow_a), FadeOut(arrow_b), FadeOut(arrow_b_copy), FadeOut(arrow_o), FadeOut(text_a), FadeOut(text_b), FadeOut(text_o), FadeOut(text_p), FadeOut(text))
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