as we will show later in chapter vs proportionally to the probabilities

These two phrases are not directly comparable as they serve different purposes. The first phrase is setting up a reference to something that will be explained later in a chapter, while the second phrase is indicating a relationship between two things based on their probabilities.

Last updated: March 17, 2024 • 412 views

as we will show later in chapter

This phrase is correct and commonly used in English to refer to information that will be presented in more detail in a later part of a chapter.

This phrase is used to introduce the idea that further information or evidence will be provided in a subsequent section of the chapter.

Show examples from the web [+]

As we will show later, in Chapter 4, this approach is appealing when there is no correlation between some of the variables of the objective function f, meaning ...
theory that describes the strong interaction, as we will show later in Chapter 2, our present knowledge about the thermodynamics and phase structure of strongly.
15 As we will show later in Chapter III, this has not been the case for the situation we investigate, the US repeatedly having decided not to make any reference to ...
sidered as the unit of analysis, as we will show later in Chapter 3, looking into the black box can yield additional opportunities to discover inefficiencies in the.

proportionally to the probabilities

This phrase is correct and can be used to describe a relationship between two things that varies based on their probabilities.

This phrase is used to indicate that one thing changes in relation to another based on the probabilities involved.

Show examples from the web [+]

... the population, the offspring are generated by a crossover, a mutation or a reproduction proportionally to the probabilities cxpb, mutpb and 1 - (cxpb + mutpb ).
... the population, the offspring are generated by a crossover, a mutation or a reproduction proportionally to the probabilities cxpb, mutpb and 1 - (cxpb + mutpb ).
[0, 1) is partitioned into regions with lengths proportionally to the probabilities of the symbols. Any interval (that in turn can be represented by a number) that lies ...
Randomly choose a type of the fragment to be inserted proportionally to the probabilities of various fragment types to occur, and set its parameters (number of ...

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as we will show later in chapter vs proportionally to the probabilities