by approximation vs using approximation

Both "by approximation" and "using approximation" are correct phrases, but they are used in slightly different contexts. "By approximation" is commonly used to indicate an estimation or rough calculation, while "using approximation" is more specific and implies the actual process of employing approximations in a calculation or analysis.

Last updated: March 15, 2024 • 2571 views

by approximation

This phrase is correct and commonly used in English to indicate an estimation or rough calculation.

This phrase is used to convey that something is being done approximately or as an estimate, without exact precision.

Examples:

The final answer was obtained by approximation.
We can determine the value by approximation.

Show examples from the web [+]

... the degree of accuracy required, the sensitivity of the problem to this data, and the savings (usually in time and effort) that can be achieved by approximation.
Travel by Approximation: A Virtual Road Trip (272 pp.; full-screen preview available below) is the record of a trip I made across the United States by way of the ...
Lying by Approximation: The Truth about Finite Element Analysis. Synthesis Lectures on Engineering. August 2013, 112 pages, ...
Thus, enzymes can employ a strategy known as catalysis by approximation by which the enzyme brings together two substrates in order to increase the rate of ...

Alternatives:

roughly
approximately
estimating
ballpark figure
in the vicinity of

using approximation

This phrase is correct and is used to indicate the process of employing approximations in a calculation or analysis.

This phrase is used when describing the method of utilizing approximations in a specific calculation or analysis.

Examples:

The complex integral was solved using approximation techniques.
The model was built using approximation methods.

Show examples from the web [+]

Using Approximation to Relate Computational. Classes over the Reals. Manuel L . Campagnolo1 and Kerry Ojakian2. 1 DM/ISA, Lisbon University of Technology ...
Dances With Approximation Using Approximation to Find Roots. Maybe we want to find the square root of some number. and our calculator isn't working. Wait ...
Synthesis of structural geometry using approximation concepts. Uri Kirsch. Department of Civil Engineering, Technion-Israel Institute of Technology Haifa, Israel.
Using Approximation. Graphs, charts and tables often give a large number of quite precise figures (1.54379, 53.25%, 100,001, etc.). You don't always need to ...

Alternatives:

employing approximations
utilizing approximations
applying approximations
making use of approximations
using rough estimates

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by approximation vs using approximation