assume (for simplicity) that vs let us show this as follows.

These two phrases are not directly comparable as they serve different purposes. 'Assume (for simplicity) that' is used to introduce a simplifying assumption, while 'let us show this as follows' is used to indicate a step-by-step demonstration or explanation.

Last updated: March 17, 2024

assume (for simplicity) that

This phrase is correct and commonly used in English to introduce a simplifying assumption.

This phrase is used to set up a simplified scenario or assumption for the sake of clarity or ease of understanding.

Show examples from the web [+]

Equilibrium in Perfectly Competitive Markets. (Assume for simplicity that all firms have access to the same technology and input markets, so they all have the ...
Also assume for simplicity that ACK packets are extremely small and can be ignored. (a) At least how big would the window size (in packets) have to be for the ...
Although our considerations will work for any (p, q)-torus knot with q > p > 0, we assume for simplicity that K is a (2,3)-torus knot, in order to keep the arguments ...
Consider two random variables X and Y . Assume for simplicity that they both have zero mean. (a) Show that X and E[X | Y ] are positively correlated. (b) Show ...

let us show this as follows.

This phrase is correct and commonly used in English to indicate a step-by-step demonstration or explanation.

This phrase is used to introduce a detailed explanation or demonstration of a concept, often in a structured or sequential manner.

Show examples from the web [+]

associated with C completely penetrate the defect, while the others are completely reflected. This observation suggests T [C] = 1. Let us show this as follows.

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assume (for simplicity) that vs let us show this as follows.