A function/mapping takes objects and returns objects. It is usually written in the form $$ F: A \to B $$ Here, $F$ is the name of the function, $A$ is the possible input and $B$ is the possible output.
The mapping when stated explicitly is denoted $x \mapsto y$.
The real $\sqrt{x}$ is a function that takes a number and returns a non-negative number whose square is the input.
$sqrt : Number \to Number$
$Area$ : $Polygon \to Number$
$angle\_between\_hands$ : $Time \to Angle$
$is\_square$ : $Number \to Boolean$
The sage function is_square checks if a given number is a perfect square.
is_square(100) # This gives True
is_square(3) # This gives False
# The below two lines define a sqr function.
def sqr(x):
return x^2
sqr(10) # This will gives 100
# There are more than one ways to compute the last digit of a given integer.
def last_digit(x):
return x%10
def last_digit2(x):
return ZZ(x).digits()[0]
def first_digit(x):
return ZZ(x).digits()[-1]
def digit_sum(x):
return sum(ZZ(x).digits())
def area_of_square(side):
return side*side
def area_of_parallelogram(base,height):
return base*height
File: Lessons 2/perimeters.sagews
Input: A given time t (a pair of number that represents hour and minute).
Output: The angle between them in degree.
Input: (03,00)
Output: 90$^{\circ}$
Please complete the below functon to compute the required angle.
File: Lesson 2/angle_between_hands.sagews
def angle_between_hands(t):
hour = t[0]
minute = t[1]
angle_of_minute = t[1] * 6
# Complete below
angle_of_hour = 0 # C
ans = abs(angle_of_minute - angle_of_hour)
return ans