# https://www.educative.io/courses/deep-learning-pytorch-fundamentals/NEpopWOrmRz

But there are 101 values then how it can be 100 intervals ? Could you please elaborate this ?

# we have to split the ranges in 100 evenly spaced intervals each

b_range = np.linspace(true_b - 3, true_b + 3, 101)

w_range = np.linspace(true_w - 3, true_w + 3, 101)

@Ammar_Ahmad_Farid Could you also respond to this one please? Iâ€™ve seen that youâ€™ve answered an another query which is related to this topic only

@Ammar_Ahmad_Farid and @Javeria_Tariq Do you mind responding to my query please?

Hi @Vikrant !!
When the statement says â€śwe have to split the ranges in 100 evenly spaced intervals each,â€ť it means that the ranges for both `b` and `w` are divided into 100 intervals. However, there will be 101 values in total because an interval includes both its start and end points.

Letâ€™s break it down step by step using the given code:

``````# Reminder:
true_b = 1
true_w = 2

# We want to create a range of values for b and w, each spanning from true value - 3 to true value + 3.
# We want 100 intervals for each range.

# Create an array of 101 evenly spaced values for b, ranging from true_b - 3 to true_b + 3.
b_range = np.linspace(true_b - 3, true_b + 3, 101)

# Create an array of 101 evenly spaced values for w, ranging from true_w - 3 to true_w + 3.
w_range = np.linspace(true_w - 3, true_w + 3, 101)
``````

In this code, the `linspace` function generates an array of evenly spaced values within a specified range. The parameters are `(start, stop, num)`, where `start` is the starting value, `stop` is the ending value, and `num` is the number of points (or intervals) to generate.

So, in the case of `b_range` and `w_range`, we want 100 intervals, and thus we specify `num=101`. The reason for `num=101` is that if we want 100 intervals, we need 101 points to define those intervals (since an interval includes both its endpoints).

As a result, you get arrays `b_range` and `w_range`, each containing 101 values that span the specified ranges with 100 intervals. This allows you to create a grid of all possible combinations of `b` and `w` values to explore the loss surface.
I hope this helps. Happy Learning

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