Sympy 3 D plotting of parabolic function
I am trying to visualize the 3D surface plot of parabolic function with 'm' and 'c' as variables (x-axis and y-axis) and 'S' (Z-axis) in python.
Below is my code:
import pandas as pd
import seaborn as sns
import numpy as np
x = 10*(np.random.rand(100))
y = 10*x + 10*np.random.randn(100)
plt.figure(figsize=(10,10))
plt.scatter(x,y,color='green',label = "Random Points")
plt.xlabel="X-Axis"
plt.ylabel="Y-Axis"
plt.legend(loc='upper left')
plt.show()
from sympy import symbols, diff
from sympy.plotting import plot3d_parametric_surface
sum_Y_nSquare = np.sum((y**2))
sum_x_nMuly_n = np.sum(x*y)
sum_y_n = np.sum(y)
sum_x_nSquare = np.sum((x**2))
sum_x_n = np.sum(x)
m, c = symbols('m c', real=True) # m=> slope of line b=> intercept
S = (sum_Y_nSquare) - (2*m*(sum_x_nMuly_n)) - (2*c*(sum_y_n)) + ((m**2)*(sum_x_n)) + ((2*m*c)*(sum_x_n)) + ((x.size)*(c**2))
'm' and 'c' are variables.
'S' should be bell like curve as there is m^2 and c^2 in function.
How do I plot this using Sympy module in python?
python-3.x plot sympy
asked Nov 22 at 20:55
Shubham Singh
12
add a comment |
I am trying to visualize the 3D surface plot of parabolic function with 'm' and 'c' as variables (x-axis and y-axis) and 'S' (Z-axis) in python.
Below is my code:
import pandas as pd
import seaborn as sns
import numpy as np
x = 10*(np.random.rand(100))
y = 10*x + 10*np.random.randn(100)
plt.figure(figsize=(10,10))
plt.scatter(x,y,color='green',label = "Random Points")
plt.xlabel="X-Axis"
plt.ylabel="Y-Axis"
plt.legend(loc='upper left')
plt.show()
from sympy import symbols, diff
from sympy.plotting import plot3d_parametric_surface
sum_Y_nSquare = np.sum((y**2))
sum_x_nMuly_n = np.sum(x*y)
sum_y_n = np.sum(y)
sum_x_nSquare = np.sum((x**2))
sum_x_n = np.sum(x)
m, c = symbols('m c', real=True) # m=> slope of line b=> intercept
S = (sum_Y_nSquare) - (2*m*(sum_x_nMuly_n)) - (2*c*(sum_y_n)) + ((m**2)*(sum_x_n)) + ((2*m*c)*(sum_x_n)) + ((x.size)*(c**2))
'm' and 'c' are variables.
'S' should be bell like curve as there is m^2 and c^2 in function.
How do I plot this using Sympy module in python?
python-3.x plot sympy
asked Nov 22 at 20:55
Shubham Singh
12
add a comment |
I am trying to visualize the 3D surface plot of parabolic function with 'm' and 'c' as variables (x-axis and y-axis) and 'S' (Z-axis) in python.
Below is my code:
import pandas as pd
import seaborn as sns
import numpy as np
x = 10*(np.random.rand(100))
y = 10*x + 10*np.random.randn(100)
plt.figure(figsize=(10,10))
plt.scatter(x,y,color='green',label = "Random Points")
plt.xlabel="X-Axis"
plt.ylabel="Y-Axis"
plt.legend(loc='upper left')
plt.show()
from sympy import symbols, diff
from sympy.plotting import plot3d_parametric_surface
sum_Y_nSquare = np.sum((y**2))
sum_x_nMuly_n = np.sum(x*y)
sum_y_n = np.sum(y)
sum_x_nSquare = np.sum((x**2))
sum_x_n = np.sum(x)
m, c = symbols('m c', real=True) # m=> slope of line b=> intercept
S = (sum_Y_nSquare) - (2*m*(sum_x_nMuly_n)) - (2*c*(sum_y_n)) + ((m**2)*(sum_x_n)) + ((2*m*c)*(sum_x_n)) + ((x.size)*(c**2))
'm' and 'c' are variables.
'S' should be bell like curve as there is m^2 and c^2 in function.
How do I plot this using Sympy module in python?
python-3.x plot sympy
asked Nov 22 at 20:55
Shubham Singh
12
I am trying to visualize the 3D surface plot of parabolic function with 'm' and 'c' as variables (x-axis and y-axis) and 'S' (Z-axis) in python.
Below is my code:
import pandas as pd
import seaborn as sns
import numpy as np
x = 10*(np.random.rand(100))
y = 10*x + 10*np.random.randn(100)
plt.figure(figsize=(10,10))
plt.scatter(x,y,color='green',label = "Random Points")
plt.xlabel="X-Axis"
plt.ylabel="Y-Axis"
plt.legend(loc='upper left')
plt.show()
from sympy import symbols, diff
from sympy.plotting import plot3d_parametric_surface
sum_Y_nSquare = np.sum((y**2))
sum_x_nMuly_n = np.sum(x*y)
sum_y_n = np.sum(y)
sum_x_nSquare = np.sum((x**2))
sum_x_n = np.sum(x)
m, c = symbols('m c', real=True) # m=> slope of line b=> intercept
S = (sum_Y_nSquare) - (2*m*(sum_x_nMuly_n)) - (2*c*(sum_y_n)) + ((m**2)*(sum_x_n)) + ((2*m*c)*(sum_x_n)) + ((x.size)*(c**2))
'm' and 'c' are variables.
'S' should be bell like curve as there is m^2 and c^2 in function.
How do I plot this using Sympy module in python?
python-3.x plot sympy
python-3.x plot sympy
asked Nov 22 at 20:55
Shubham Singh
12
asked Nov 22 at 20:55
Shubham Singh
12
asked Nov 22 at 20:55
Shubham Singh
12
asked Nov 22 at 20:55
Shubham Singh
12
asked Nov 22 at 20:55
Shubham Singh
12
12
add a comment |
add a comment |
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