# How to use linspace in r [Generate linearly spaced sequences]

In data science doing a linspace in r is a straightforward process, involving a function with three arguments each of which are single numbers. The result is an evenly spaced numerical vector of the length specified in the function. It provides an interesting way of producing linear test data while producing more than a simple string of integers.

### Description of Linspace in R

When doing a linspace in r you use the linspace function which has the format of linspace(x, y, n) where “x” is the number indicating the starting point, “y” is the number indicating the ending point, and “n” is the number of tick marks in the sequence. This process produces evenly spaced data between the starting and ending values. While it superficially resembles a NumPy array function, It is a completely different function. It only works on individual values, you cannot use it on an array, vector, or data frame, Except one value at a time. Despite this potential drawback, it is still a useful function.

### Explanation of Linspace in R

The linspace function is a straightforward process to understand. It simply takes the beginning and ending values and divides the intervening real number space into the specified number of pieces, resulting in a vector consisting of evenly spaced values. Each of the arguments needs to be a single numeric value otherwise you will get an error message. This means that if you want to use it on an array, a vector, or a data frame, you need to go through the data set and check each individual value one at a time. However, this is not a likely enough situation to be concerned about. When used properly it will produce a vector of evenly spaced numeric values.

Examples of Linspace in R

Here we have several examples of the linspace function being used under different circumstances. They each illustrate a different aspect of the type of results this function produces.

> library(pracma)
> x = 1
> y = 10
> z = 10
> linspace(x, y, z)
 1 2 3 4 5 6 7 8 9 10

This is a straightforward example, where the starting point is one, and the ending point and the number of steps are the same. This results in a simple list of integers counting up from one to ten.

> library(pracma)
> x = 0
> y = 20
> z = 10
> linspace(x, y, z)
 0.000000 2.222222 4.444444 6.666667 8.888889 11.111111 13.333333 15.555556 17.777778 20.000000

This example illustrates the situation where the number of steps is smaller than the difference between the starting and ending points.

> library(pracma)
> x = 0
> y = 10
> z = 20
> linspace(x, y, z)
 0.0000000 0.5263158 1.0526316 1.5789474 2.1052632 2.6315789 3.1578947 3.6842105 4.2105263 4.7368421
 5.2631579 5.7894737 6.3157895 6.8421053 7.3684211 7.8947368 8.4210526 8.9473684 9.4736842 10.0000000

This example illustrates the situation where the number of steps is larger than the difference between the starting and ending points.

> library(pracma)
> x = 0
> y = 1
> z = 20
> linspace(x, y, z)
 0.00000000 0.05263158 0.10526316 0.15789474 0.21052632 0.26315789 0.31578947 0.36842105 0.42105263 0.47368421
 0.52631579 0.57894737 0.63157895 0.68421053 0.73684211 0.78947368 0.84210526 0.89473684 0.94736842 1.00000000

This example illustrates the situation where the difference between the starting and ending points is equal to one.

> library(pracma)
> x = 10
> y = 1
> z = 10
> linspace(x, y, z)
 10 9 8 7 6 5 4 3 2 1

This is a straightforward example, where the ending point is one, and the starting point and the number of steps are the same. This results in a simple list of integers counting down from ten to one.

> library(pracma)
> x = 51
> y = 60
> z = 10
> linspace(x, y, z)
 51 52 53 54 55 56 57 58 59 60

This example illustrates a situation that has more arbitrary starting and endpoints than the number one. In each of these cases, we get different patterns in the resulting data, but they are all evenly spaced.

### Applications of Linspace in R

The main applications for doing a linspace in r center around using a scatter plot. It can be used to generate a linear set of points, which do not necessarily consist of integers, for the purpose of testing a scatter plot before putting real data into it. This has the advantage of having no issues with the plot function. It can also be used to produce a straight-line plot for comparison with other datasets. In either case, it allows you to produce straight-line data for a scatter plot where you set the number of spaces.

Doing a linspace in r is a straightforward process, which allows you to produce an equal number of values between any two values you choose. It also allows you to select the number of steps between those values. This function is handy for testing a graph to see if it is set up properly, as well as providing a straight line for a comparison with a real dataset.

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