Answer:
import numpy as np
import matplotlib.pyplot as plt
def calculate_pi(x,y):
points_in_circle=0
for i in range(len(x)):
if np.sqrt(x[i]**2+y[i]**2)<=1:
points_in_circle+=1
pi_value=4*points_in_circle/len(x)
return pi_value
length=np.power(10,6)
x=np.random.rand(length)
y=np.random.rand(length)
pi=np.zeros(7)
sample_size=np.zeros(7)
for i in range(len(pi)):
xs=x[:np.power(10,i)]
ys=y[:np.power(10,i)]
sample_size[i]=len(xs)
pi_value=calculate_pi(xs,ys)
pi[i]=pi_value
print("The value of pi at different sample size is")
print(pi)
plt.plot(sample_size,np.abs(pi-np.pi))
plt.xscale('log')
plt.yscale('log')
plt.xlabel('sample size')
plt.ylabel('absolute error')
plt.title('Error Vs Sample Size')
plt.show()
Explanation:
The python program gets the sample size of circles and the areas and returns a plot of one against the other as a line plot. The numpy package is used to mathematically create the circle samples as a series of random numbers while matplotlib's pyplot is used to plot for the visual statistics of the features of the samples.
De Gaulle was not afraid to make controversial decisions. After coping with uprisings in Algeria for years, he helped the French colony achieve independence in 1962.
The exact match mode is the mode parameter that Katie should use to look for an exact match of the searched data
Further Explanation:
The VLOOKUP function in Excel helps us search for and retrieve information from a particular column in a table and lookups a value in the left-most column of the table. It has two modes of matching.
Exact matching – When you perform a range_lookup, an argument FALSE is defined to mean that there is an exact match of the return value.
- To achieve this, select a cell in your Excel worksheet
- Type =VLOOKUP in the type bar of the Excel sheet
- Select the value to look up and then select the data range
- Type the column number that you want to search and then type FALSE
- Press enter
Learn about VLOOKUP in Excel by clicking the links below
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Answer:
Variable.
Explanation:
A placeholder for a piece of information that can change is called variable.
In Computer programming, a variable stores information which is passed from the location of the method call directly to the method that is called by the program.
For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function.
Hence, when you create variables in a function, you can can set the values for their parameters.
For instance, to pass a class to a family of classes use the code;
\\parameter Name as Type (Keywords) = value;
\\procedure XorSwap (var a,b :integer) = "myvalue";