What does "bilinear" mean?
A bilinear function.
Bilinear
/baɪˈlɪn.i.ɚ/ adj, noun
adj, noun ·Rare ·Advanced level
Meaning at a glance
- Primary sense: A bilinear function.
- Grammar: bilinear is listed as adj, noun.
- Nearest alternatives: bilinear form, bilinear interpolation, bilinear map, two variable interpolation.
- Useful contrasts: bicubic, nearest neighbor, nonlinear.
- Usage evidence: In mathematics, an algebra over a field is a vector space equipped with a bilinear product.
How to use "bilinear"
- Start with the primary definition, then check the part of speech before placing the word in a sentence.
- Compare nearby synonyms to make sure "bilinear" carries the exact meaning, tone, and strength you need.
- Use the example sentence as a context check. If your sentence uses the word differently, confirm that the grammar still fits.
Meaning check
- Does the word fit the sentence's grammar?
- Does it match the intended tone rather than only the dictionary definition?
- Would a simpler synonym be clearer for the reader?
- Is there enough surrounding context to prevent ambiguity?
Source and review context
This entry combines structured lexical data with WordToolSet review checks. Definitions, examples, synonyms, and usage notes may come from different source tables, so the page is designed to show evidence from more than one angle before you rely on "bilinear" in a final draft.
If a word has several senses, prefer the sense that matches your sentence's grammar and surrounding context. A correct definition can still be the wrong choice when the sentence needs a different register, emphasis, or level of specificity.
Before you rely on this definition
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Compare nearby meanings
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Definition decision workflow
1. Identify the role
Check whether "bilinear" is acting as adj, noun in your sentence. A definition is only useful when the grammar matches the way the word is being used.
2. Test the nearest option
Compare it with "bilinear form" and other nearby choices to see whether the sentence needs a softer, stronger, or more familiar word.
3. Confirm with context
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Final meaning check
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When the definition, synonym evidence, and example context point in the same direction, the word is usually a safer choice. When they conflict, revise the sentence or choose a clearer alternative.
Definitions
Noun
- 1 A bilinear function.
Adjective
- 1 Linear (preserving linear combinations) in each variable. not-comparable
"The function f(x,y)#61;xy is bilinear, because f(ax#43;bu,y)#61;af(x,y)#43;bf(u,y) and f(x,ay#43;bv)#61;af(x,y)#43;bf(x,v) for all values."
- 2 Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions). not-comparable
"bilinear isotropic hardening"
Adjective
- 1 linear with respect to each of two variables or positions wordnet
Synonyms
All synonyms bilinear formbilinear interpolationbilinear maptwo variable interpolation
Example
"In mathematics, an algebra over a field is a vector space equipped with a bilinear product."
Common questions
What is a synonym for "bilinear"?
Common synonyms include: bilinear form, bilinear interpolation, bilinear map, two variable interpolation.
How do you use "bilinear" in a sentence?
In mathematics, an algebra over a field is a vector space equipped with a bilinear product.
How do you pronounce "bilinear"?
Pronounced /baɪˈlɪn.i.ɚ/.
Etymology
From bi- + linear.