let us first describe the model vs that will be used by our scheme

The two phrases are not directly comparable as they serve different purposes in a sentence. The first phrase introduces the action of describing the model, while the second phrase provides additional information about the model being used. Both phrases can be correct depending on the context in which they are used.

Last updated: March 17, 2024

let us first describe the model

This phrase is correct and commonly used in English to introduce the action of describing a model as the first step.

This phrase is used to suggest starting with the description of the model before moving on to other aspects.

Alternatives:

Let's begin by describing the model.
First, let's describe the model.
To start, let us describe the model.

that will be used by our scheme

This phrase is correct and commonly used in English to provide information about the model that will be utilized by a scheme.

This phrase is used to specify the model that will be employed by a particular scheme or system.

Alternatives:

which our scheme will use
to be utilized by our scheme
that our scheme will utilize

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let us first describe the model vs that will be used by our scheme