Mathematical constants (pi, e, golden ratio) in SciPy - Step-by-Step Execution

Concept Flow - Mathematical constants (pi, e, golden ratio)

Import scipy.constants

↓

Access pi, e, golden ratio

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Use constants in calculations

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Print or store results

We import scipy.constants, then access pi, e, and golden ratio values, and finally use or display them.

Execution Sample

SciPy

from scipy import constants
pi_val = constants.pi
e_val = constants.e
golden_val = constants.golden_ratio
print(pi_val, e_val, golden_val)

This code imports constants from scipy and prints the values of pi, e, and the golden ratio.

Execution Table

Step	Action	Variable	Value	Output
1	Import scipy.constants	-	-	-
2	Assign pi to pi_val	pi_val	3.141592653589793	-
3	Assign e to e_val	e_val	2.718281828459045	-
4	Assign golden ratio to golden_val	golden_val	1.618033988749895	-
5	Print all constants	-	-	3.141592653589793 2.718281828459045 1.618033988749895

💡 All constants assigned and printed successfully.

Variable Tracker

Variable	Start	After Step 2	After Step 3	After Step 4	Final
pi_val	undefined	3.141592653589793	3.141592653589793	3.141592653589793	3.141592653589793
e_val	undefined	undefined	2.718281828459045	2.718281828459045	2.718281828459045
golden_val	undefined	undefined	undefined	1.618033988749895	1.618033988749895

Key Moments - 2 Insights

Why do we import scipy.constants before using pi, e, and golden ratio?

Because pi, e, and golden ratio are predefined constants inside scipy.constants module. Without importing, Python does not know these values. See execution_table step 1.

Are the values of pi, e, and golden ratio exact or approximations?

They are very precise floating-point approximations, not exact infinite decimals. This is shown in the values assigned at steps 2, 3, and 4.

Visual Quiz - 3 Questions

Look at the execution_table at step 3, what is the value assigned to e_val?

A 1.618033988749895

B 3.141592653589793

C 2.718281828459045

D Undefined

💡 Hint

Check the 'Value' column for step 3 in execution_table.

At which step is the golden ratio assigned to a variable?

A Step 4

B Step 3

C Step 2

D Step 5

💡 Hint

Look at the 'Action' column in execution_table for golden ratio assignment.

If we did not import scipy.constants, what would happen when assigning pi_val?

A pi_val would be assigned 3.14 automatically

B Python would raise an error because constants is undefined

C pi_val would be None

D pi_val would be zero

💡 Hint

Refer to key_moments about the importance of importing scipy.constants.

Concept Snapshot

Use scipy.constants to access common math constants:
- pi = constants.pi (3.14159...)
- e = constants.e (2.71828...)
- golden ratio = constants.golden_ratio (1.61803...)
Import first: from scipy import constants
Use these constants in calculations or print them.

Full Transcript

This lesson shows how to get mathematical constants pi, e, and the golden ratio from scipy.constants. First, we import the constants module. Then we assign pi, e, and golden ratio to variables. Finally, we print these values. The constants are precise floating-point numbers. Importing is necessary to access them. The execution table traces each step and variable value. The variable tracker shows how variables get their values step by step. Key moments clarify why import is needed and the nature of these constants. The quiz tests understanding of values and import importance.