as we will show later in this paper vs an order of magnitude faster

These two phrases are not directly comparable as they serve different purposes. The first phrase is used to refer to a future action in a written document, while the second phrase describes a speed comparison. They are not interchangeable in any context.

Last updated: March 17, 2024

as we will show later in this paper

This phrase is correct and commonly used in academic or formal writing to indicate that a topic will be discussed or demonstrated in more detail at a later point in the document.

This phrase is typically used in academic papers, reports, or articles to inform the reader that a specific point or argument will be elaborated on in subsequent sections of the document.

an order of magnitude faster

This phrase is correct and commonly used to indicate a significant difference in speed or performance. It is often used in technical or scientific contexts to emphasize the substantial increase in speed.

This phrase is used when comparing the speed or performance of two entities, highlighting that one is significantly faster or more efficient than the other by a large factor.

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as we will show later in this paper vs an order of magnitude faster