diff options
| author | Purusharth Saxena | 2020-07-11 00:10:27 +0530 |
|---|---|---|
| committer | GitHub | 2020-07-11 00:10:27 +0530 |
| commit | c3f10ff77f2d15726a860cbb64ce0ca41f224032 (patch) | |
| tree | 30157c37d4c1af65d1e68021b1ca655fefc5e734 /FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral | |
| parent | 5dd5555fb198ee3b583522f4838aa929bb1ec087 (diff) | |
| parent | 27aef26cda374eae07775d98155da0f48eb14da0 (diff) | |
| download | FSF-mathematics-python-code-archive-c3f10ff77f2d15726a860cbb64ce0ca41f224032.tar.gz FSF-mathematics-python-code-archive-c3f10ff77f2d15726a860cbb64ce0ca41f224032.tar.bz2 FSF-mathematics-python-code-archive-c3f10ff77f2d15726a860cbb64ce0ca41f224032.zip | |
Merge pull request #71 from panditsomnath10016git/master
final merge
Diffstat (limited to 'FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral')
8 files changed, 36 insertions, 27 deletions
diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/README.md b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/README.md index aa8c7f8..3cdddae 100644 --- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/README.md +++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/README.md @@ -1,9 +1,9 @@ **file1_grad_of_scalar_function** - + **file2_line_int_independent_of_path** - + **file3_line_int_example** - + diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file1_grad_of_scalar_function.gif b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file1_grad_of_scalar_function.gif Binary files differdeleted file mode 100644 index 5a6e102..0000000 --- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file1_grad_of_scalar_function.gif +++ /dev/null diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file1_grad_of_scalar_function.py b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file1_grad_of_scalar_function.py index c9f479c..fd3d9b5 100644 --- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file1_grad_of_scalar_function.py +++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file1_grad_of_scalar_function.py @@ -1,6 +1,6 @@ from manimlib.imports import * -class GradOfScalar(ThreeDScene): +class GradOfScalarFunc(ThreeDScene): CONFIG = { "axes_config": { @@ -27,7 +27,7 @@ class GradOfScalar(ThreeDScene): "num_axis_pieces": 1, }, "default_graph_style": { - "stroke_width": 2, + "stroke_width": 5, "stroke_color": WHITE, }, "default_vector_field_config": { @@ -38,8 +38,8 @@ class GradOfScalar(ThreeDScene): "y_min": -3, "y_max": 3, "min_magnitude": 0, - "max_magnitude": 2, - "colors": [TEAL,GREEN,GREEN,GREEN,YELLOW,RED], + "max_magnitude": 3, + "colors": [TEAL,GREEN,YELLOW,RED], "length_func": lambda norm : norm*np.exp(-.38*norm)/2, "opacity": 1.0, "vector_config": { @@ -49,9 +49,9 @@ class GradOfScalar(ThreeDScene): "default_surface_config": { "fill_opacity": 0.5, "checkerboard_colors": [BLUE_E], - "stroke_width": .5, + "stroke_width": .2, "stroke_color": WHITE, - "stroke_opacity": 0.75, + "stroke_opacity": 0.5, }, } @@ -66,17 +66,24 @@ class GradOfScalar(ThreeDScene): theta=-135 * DEGREES, ) - scalar_fn_text=TexMobject("f(x,y,z)=","xy").set_color(BLUE) + scalar_fn_text=TexMobject("f(x,y)=","xy").set_color(BLUE) scalar_fn_text.to_corner(UR,buff=.6) operator=TexMobject("\\vec\\nabla").next_to( scalar_fn_text,LEFT,buff=.2 ).set_color(GOLD) - grad_text=TexMobject(r"\dfrac{\partial f}{\partial x} \hat i+\dfrac{\partial f}{\partial y} \hat j+\dfrac{\partial f}{\partial z} \hat k").set_color(GOLD) + + grad_text=TexMobject(r"\dfrac{\partial f}{\partial x} \hat i+\dfrac{\partial f}{\partial y} \hat j").set_color(GOLD) grad_text.next_to(scalar_fn_text,DOWN).scale(.9) - VGroup(grad_text[0][1],grad_text[0][9],grad_text[0][17]).set_color(BLUE) - VGroup(grad_text[0][5:8],grad_text[0][13:16],grad_text[0][21:23]).set_color(WHITE) + VGroup( + grad_text[0][1], + grad_text[0][9] + ).set_color(BLUE) + VGroup( + grad_text[0][5:8], + grad_text[0][13:16] + ).set_color(WHITE) vector_field_text=TexMobject("\\vec F=y\hat i+x\hat j").set_color_by_gradient(*self.default_vector_field_config["colors"]) vector_field_text.next_to(scalar_fn_text,DOWN) @@ -108,30 +115,33 @@ class GradOfScalar(ThreeDScene): self.play(Write(grad_text)) self.wait(2) - self.play(FadeOut(grad_text)) - self.add_fixed_in_frame_mobjects(vector_field_text) - show_vec_field=[ + + show_vects=[ FadeIn(v_field1), - Write(vector_field_text), ] self.begin_ambient_camera_rotation(rate=.2) self.move_camera( # distance=20, phi=60 * DEGREES, - added_anims=show_vec_field, + added_anims=show_vects, run_time=4.5 ) - + + self.play(FadeOut(grad_text)) self.wait(2) self.stop_ambient_camera_rotation() - fadeout= [FadeOut(s_field1)] + self.add_fixed_in_frame_mobjects(vector_field_text) + vector_field= [ + FadeOut(s_field1), + Write(vector_field_text), + ] self.move_camera( # distance=20, phi=0 * DEGREES, theta=-90 * DEGREES, - added_anims=fadeout, + added_anims=vector_field, run_time=2 ) self.wait(2) @@ -165,6 +175,7 @@ class GradOfScalar(ThreeDScene): config.update(self.default_vector_field_config) config.update(kwargs) vector_field= VectorField(func,**config) + vector_field.move_to(self.axes.c2p(0,0,0)) self.vector_field=vector_field if on_surface: @@ -175,15 +186,14 @@ class GradOfScalar(ThreeDScene): def get_vectors_on_surface(self): - config = dict() - config.update(self.default_vector_field_config["vector_config"]) vectors_on_surface = VGroup(*[ - self.vector_field.get_vector(point,**config) + self.vector_field.get_vector(point) for point in self.surface_points ]) return vectors_on_surface - + + def get_surface(self, func, **kwargs): axes=self.axes @@ -305,4 +315,3 @@ class GradOfScalar(ThreeDScene): - diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file2_line_int_independent_of_path.gif b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file2_line_int_independent_of_path.gif Binary files differdeleted file mode 100644 index 29c6d02..0000000 --- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file2_line_int_independent_of_path.gif +++ /dev/null diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file2_line_int_independent_of_path.py b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file2_line_int_independent_of_path.py index b9597b6..b8f7cfa 100644 --- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file2_line_int_independent_of_path.py +++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file2_line_int_independent_of_path.py @@ -95,7 +95,7 @@ class LineIntegration(GraphScene): def get_endpoints_of_curve(self): points=[[-3,0],[2,2]] - point_labels= ["P_i","P_f"] + point_labels= ["P_f","P_i"] for point,label in zip(points,point_labels): dot=Dot(self.coords_to_point(*point)).set_color(RED) dot_label=TexMobject(label) diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file1_grad_of_scalar_function.gif b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file1_grad_of_scalar_function.gif Binary files differnew file mode 100644 index 0000000..1fd2e15 --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file1_grad_of_scalar_function.gif diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file2_line_int_independent_of_path.gif b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file2_line_int_independent_of_path.gif Binary files differnew file mode 100644 index 0000000..8d375bb --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file2_line_int_independent_of_path.gif diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file3_line_int_example.gif b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file3_line_int_example.gif Binary files differindex 20ed081..20ed081 100644 --- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/file3_line_int_example.gif +++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/fundamental-theorem-of-line-integral/gifs/file3_line_int_example.gif |
