Equational Emphasis

Equational Emphasis is actually not a topic discussed in the lore of mathematics. We made up the name so we could talk about something we feel could help you.

Look at the equation with variables x and y below:

y=2x

There is emphasis placed on y.

2x=y

We argue that the change puts more emphasis on the 2.

Now we want you to consider two stories:

1. x and y are variables related by a mathematical thing.
2. A mathematical thing changes x so that it becomes y.

This perspective might help when you first study operators. An operator operates on a function to make another function (and a function takes a number changes it into another number).

As our last thing, we want to foretell what will happen in Tensors:

You will compare the following:

latex]k \cdot x = y[/latex]

It will be explained to you that x and y are both factors. You will then be told that the only thing k can do in the first equation is to change the length of vector x.

However, in the second equation k is something that changes both the length and the direction of vector x.

Close your eyes for a few seconds, and feel the power.