following that x vs follows that x

Both phrases are correct, but they are used in different contexts. 'Following that x' is used when referring to something that comes after a specific point in time or sequence, while 'follows that x' is used to introduce a consequence or result of a previous statement.

Last updated: March 19, 2024 • 751 views

This phrase is correct and commonly used in English.

"following that x "

This phrase is used to refer to something that comes after a specific point in time or sequence. It indicates a chronological or sequential order.

Examples:

Following that event, the company saw a significant increase in sales.
Following that meeting, we will proceed with the project.
Following that decision, the team implemented new strategies.

Show examples from the web [+]

If xi = yi for all i ∈ {1, . . . , n}, then the inequality (1) holds with equality, hence we may assume in the following that xi ≠ yi for at least one i. If xi = yi for an i ∈ {1, ...
Show that the functions ρ and ρn are continuous and that the function un id of class C2. c. Write the Itô formula for un(Bt). We will admit in the following that x ∈ R ...
such a condition we mention the following, that /(x,X) may be uniformly approximated to by a sequence of functions. /i(x,X), each of which is integrable with ...
A solution of (2.1) and (2.4) is denoted by x(<f>o) and we assume in the following that x((f>o) exists and is unique on [?_i, oo). Remark!.].. It is known (see, e.g., ...

Alternatives:

After that x
Subsequent to that x
In the wake of that x
In the aftermath of that x
Following on from that x

This phrase is correct and commonly used in English.

"follows that x "

This phrase is used to introduce a consequence or result of a previous statement. It indicates a logical or causal relationship between two ideas.

Examples:

If we increase our marketing budget, follows that we will reach a wider audience.
If you study hard, follows that you will pass the exam.
If we invest in renewable energy, follows that we will reduce our carbon footprint.

Show examples from the web [+]

Since x ∈ C - B, it follows that x ∈ C. Since x ∈ A and x ∈ C, it follows that x ∈ A n C. Since x ∈ A n C and x /∈ B, it follows that x ∈ (A n C) - B. We now show ...
appear to merge into one. Compare the clarity of the following examples. Because x2 −1 = 0, x = 1 or x = −1. ×. Because x2 −1 = 0, it follows that x = 1 or x = −1.
classes. If x1 ∈ [x], then x1 ∼ z and z ∼ y, so x1 ∼ y by the transitivity of ∼, and therefore x1 ∈ [y]. It follows that [x] ⊂ [y]. A similar argument applied to y1 ∈ [y].
follows that (x, y) /∈ R and (y, z) /∈ R, and hence xR/y and yR/z. By the contrapositive of the antitransitive property we have that xR/z. Hence. (x, z) /∈ R and (x, ...

Alternatives:

Consequently, x
Therefore, x
As a result, x
Hence, x
Thus, x

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following that x vs follows that x

"following that x "

"follows that x "

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