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math6
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where in the definition of vertical subspace we understand that the notion of canonical vertical vector: a vertical vector is a vector tangent to the fiber. ?
You are mixing different concepts here. Thus: neither yes nor no. Your question is messy.math6 said:we know that if we take a function f, the partial derivative of f is tangent to f? that's true? is not it?
So we can do the same analysis taking into account that (dP) is the derivative of P?
I do not know? I wanted to give meaning to this definition.
Vertical subspace refers to the space along the y-axis, while horizontal subspace refers to the space along the x-axis. In other words, vertical subspace is the height dimension, while horizontal subspace is the width dimension.
Vertical and horizontal subspaces are commonly used in data analysis to organize and visualize data. Vertical subspaces are often used to represent categories or groups, while horizontal subspaces are used to display the data values associated with those categories.
Yes, vertical and horizontal subspaces can be applied in various fields of science, such as physics, chemistry, biology, and economics. They are particularly useful in analyzing and interpreting data in these fields.
Data points in vertical and horizontal subspaces are related to each other through their coordinates. Each data point has a specific x-coordinate on the horizontal subspace and a y-coordinate on the vertical subspace, which determine its exact location in the subspace.
Technically, there is no limit to the number of dimensions in vertical and horizontal subspaces. However, in practical data analysis, it is more common to work with two or three dimensions in these subspaces, as it becomes difficult to visualize and interpret data in higher dimensions.