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

These two phrases are not directly comparable as they serve different purposes. The first phrase is used to refer to something that will be explained or demonstrated further in a paper, while the second phrase is used to indicate a large difference in scale or quantity. They are not interchangeable.

Last updated: March 17, 2024 • 734 views

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

"as we will show later in this paper "

This phrase is typically used in academic or research papers to inform the reader that a particular point or argument will be elaborated on in subsequent sections of the paper.

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the interaction. As we will show later in this paper, what matters is the magnitude of these correlations, not their sta- tistical significance as suggested by IPKSP.
As we will show later in this paper, all the equipment that is needed to set up a long-distance wireless link are: two laptops, a pair of 802.11 adapters, a pair of ...
this test is one among several examples as we will show later in this paper. The distance between the laser scan mirrors to the specimen is about 2 meters, ...
objects will result in loss of power as we will show later. In this paper, we propose a modified Kendall rank-order association test to address this difficulty.

This phrase is correct and commonly used to indicate a large difference in scale or quantity, often used in scientific or technical contexts.

"an order of magnitude "

This phrase is used to emphasize a significant difference in size, amount, or importance. It is commonly used in scientific discussions or when comparing the magnitude of different values.

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For example, an order-of-magnitude estimate for a variable between about 3 billion and 30 billion (such as the human population of the Earth) is 10 billion.
An order of magnitude is an exponential change of plus-or-minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 ...
Many seem to suppose that a 100% increase must be pretty much the same as an increase by an order of magnitude, but in fact such an increase represents ...
It *usually applies to a scale of 10*, though, so you can think of the order of magnitude as being powers of ten. 100 is larger than 10 by an order of magnitude.

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