Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- adjective Linear with respect to each of two variables or positions. Used of functions or equations.
from The Century Dictionary.
- Consisting of or having reference to two lines: as, bilinear coördinates.
- Linear in two ways. Thus the form
Σ iΣ j aij xi yj is a bilinear form, that is, lineolinear.
from the GNU version of the Collaborative International Dictionary of English.
- adjective (Math.) Of, pertaining to, or included by, two lines.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics, of a function in two variables
Linear (preservinglinear combinations ) in eachvariable . - noun mathematics A bilinear
function
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adjective linear with respect to each of two variables or positions
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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The far right is the 720 export from 1080i original from iMovie, and I found out that the closest effect was seen when I resized 1080i image to 720 using 'bilinear' interpolation, very cheap way to resize an image.
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However, the polarization identities will allow you to recover the bilinear function from the quadratic one.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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However, the polarization identities will allow you to recover the bilinear function from the quadratic one.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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However, the polarization identities will allow you to recover the bilinear function from the quadratic one.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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EDIT: A note from The Unapologetic Mathematician that I should add: the metric tensor is a bilinear function of two vectors at a given point, while the line element is a quadratic function of a single vector.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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EDIT: A note from The Unapologetic Mathematician that I should add: the metric tensor is a bilinear function of two vectors at a given point, while the line element is a quadratic function of a single vector.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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Then in matrix form the metric looks like diag (- 1,1,1,1) as a bilinear form.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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They all use bilinear filtering rather than something reasonable like bicubic or lanczos or, really, anything that looks decent.
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From the density matrix point of view, state vectors are a kluge that is done so that a quantum state can be converted from its natural bilinear condition, to an unnatural, but mathematically convenient linear one.
Thanksgiving Sean 2008
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I realize this is “raw” data, but we also need to be aware that Hansen99 used 1950 as the hinge point for his bilinear adjustment.
A First Look at the USHCN Quality Classification « Climate Audit 2007
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