Numpy array dimensions
I'm currently trying to learn Numpy and Python. Given the following array:
import numpy as np
a = np.array([[1,2],[1,2]])
Is there a function that returns the dimensions of a
(e.g.a is a 2 by 2 array)?
size()
returns 4 and that doesn't help very much.
It is .shape
:
ndarray.shape
Tuple of array dimensions.
Thus:
>>> a.shape
(2, 2)
First:
By convention, in Python world, the shortcut for numpy
is np
, so:
In [1]: import numpy as np
In [2]: a = np.array([[1,2],[3,4]])
Second:
In Numpy, dimension, axis/axes, shape are related and sometimes similar concepts:
dimension
In Mathematics/Physics, dimension or dimensionality is informally defined as the minimum number of coordinates needed to specify any point within a space. But in Numpy, according to the numpy doc, it's the same as axis/axes:
In Numpy dimensions are called axes. The number of axes is rank.
In [3]: a.ndim # num of dimensions/axes, *Mathematics definition of dimension*
Out[3]: 2
axis/axes
the nth coordinate to index an array
in Numpy. And multidimensional arrays can have one index per axis.
In [4]: a[1,0] # to index `a`, we specific 1 at the first axis and 0 at the second axis.
Out[4]: 3 # which results in 3 (locate at the row 1 and column 0, 0-based index)
shape
describes how many data (or the range) along each available axis.
In [5]: a.shape
Out[5]: (2, 2) # both the first and second axis have 2 (columns/rows/pages/blocks/...) data
import numpy as np
>>> np.shape(a)
(2,2)
Also works if the input is not a numpy array but a list of lists
>>> a = [[1,2],[1,2]]
>>> np.shape(a)
(2,2)
Or a tuple of tuples
>>> a = ((1,2),(1,2))
>>> np.shape(a)
(2,2)
You can use .shape
In: a = np.array([[1,2,3],[4,5,6]])
In: a.shape
Out: (2, 3)
In: a.shape[0] # x axis
Out: 2
In: a.shape[1] # y axis
Out: 3