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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
term by term
Grammar usage guide and real-world examplesUSAGE SUMMARY
"term by term" is a correct and usable phrase in written English.
It is often used in mathematical and scientific contexts to describe a process of analyzing or solving a problem by considering each individual term or component separately. Example: "To solve this equation, we must approach it term by term, beginning with the highest degree."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(20)
order by order
slowly but increasingly
amendment by amendment
slowly but consistently
in sequence
periodically
gradually
inch by inch
slowly but gradually
question by question
by degrees
slowly but smoothly
division by division
episode by episode
in due course
phase by phase
section by section
sequentially
gradually but surely
step by step
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
29 human-written examples
Term by term, Ms. Nelson testified that a study of the actual deals showed no carrying out of any agreement.
News & Media
I asked him to explain it to me, term by term, and he patiently went through the equation, until we got to the last line.
News & Media
For values of x inside the interval of convergence, the series can be differentiated term by term; that is,f′(x) = a1 + 2a2x + 3a3x2 +⋯, and this series also converges.
Encyclopedias
We now proceed term by term: (D2).
where denotes the term by term division.
Thus we will estimate J1- J10 term by term.
Human-verified similar examples from authoritative sources
Similar Expressions
31 human-written examples
They will be subject to term-by-term appraisal and at the end of each year some will be "assessed out", or asked to leave.
News & Media
Does it matter that those who teach our children at university are likely to be employed on a term-by-term basis, often living from hand-to-mouth and with little access to facilities or training and professional development?
News & Media
At least it cannot be displaced term-by-term.
Science
Using Hölder's inequality, the Lebesgue term-by-term integration theorem, and (9) again, we have (19).
Using Lebesgue term-by-term integration theorem, there are two forms of I of (3.1).
Expert writing Tips
Best practice
When using "term by term" in technical writing, ensure that the context clearly indicates which 'terms' are being individually addressed to avoid ambiguity. For example, specify if you're referring to terms in a mathematical equation or clauses in a contract.
Common error
Avoid using "term by term" in contexts where simpler alternatives like "individually" or "one by one" would suffice. Overuse can make your writing sound unnecessarily formal or technical.
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "term by term" functions primarily as an adverbial phrase. It modifies verbs, adverbs, or clauses to specify the manner in which an action is performed, indicating a sequential or individual consideration of elements. Ludwig AI confirms this through numerous examples.
Frequent in
Science
65%
News & Media
15%
Formal & Business
10%
Less common in
Encyclopedias
4%
Wiki
3%
Reference
3%
Ludwig's WRAP-UP
In summary, "term by term" is a common adverbial phrase used to describe a methodical approach of analyzing something piece by piece. According to Ludwig AI, the phrase is grammatically correct and frequently used, particularly in science, news, and formal writing. When writing with "term by term", prioritize clarity and precision in technical contexts. Consider alternatives like "individually" or "step by step" in simpler contexts. Remember that although grammatically correct and usable, overuse can make your writing sound unnecessarily formal. By considering these guidelines, you can effectively and correctly incorporate the phrase into your writing.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
step by step
Focuses on sequential progression, highlighting the incremental nature of the process.
element by element
Emphasizes the focus on distinct elements or components within a larger context.
item by item
Focuses on the examination or processing of single items.
one by one
Emphasizes individual treatment or analysis, suggesting a methodical approach.
component by component
Focuses specifically on the analysis or manipulation of individual components.
individually
Highlights the separate and distinct consideration of each item.
stage by stage
Implies a phased progression, emphasizing different stages in a process.
sequentially
Indicates a following of a specific order or sequence in the process.
in sequence
Highlights the arrangement or progression in a specific order.
piecemeal
Suggests a gradual and fragmented approach, addressing small parts at a time.
FAQs
How can I use "term by term" in a sentence?
You can use "term by term" to describe a method of analyzing something piece by piece. For example, "We evaluated the contract "term by term" to ensure compliance."
What does "term by term" mean?
"Term by term" means considering each individual part or element separately and in sequence. It's often used in mathematical or analytical contexts.
Which is more appropriate, "term by term" or "step by step"?
The choice between "term by term" and "step by step" depends on the context. "Term by term" implies analyzing individual components, whereas "step by step" ("step by step") suggests a sequential process or procedure.
Are there any synonyms for the phrase "term by term"?
Yes, alternatives to "term by term" include "individually", "one by one", or "sequentially", each emphasizing a different aspect of separate consideration.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested