# Fill-in

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### Dictionary Meaning and Definition on 'Fill-in'

Fill-in Meaning and Definition from WordNet (r) 2.0
fill-in n : someone who takes the place of another (as when things get dangerous or difficult); "the star had a stand-in for dangerous scenes"; "we need extra employees for summer fill-ins" [syn: stand-in, substitute, relief, reliever, backup, backup man]
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### Wikipedia Meaning and Definition on 'Fill-in'

In the subfield of numerical analysis, a sparse matrix is a matrix populated primarily with zeros (Stoer & Bulirsch 2002, p. 619). The term itself was coined by Harry M. Markowitz.

Conceptually, sparsity corresponds to systems which are loosely coupled. Consider a line of balls connected by springs from one to the next; this is a sparse system. By contrast, if the same line of balls had springs connecting each ball to all other balls, the system would be represented by a dense matrix. The concept of sparsity is useful in combinatorics and application areas such as network theory, which have a low density of significant data or connections.

Huge sparse matrices often appear in science or engineering when solving partial differential equations.

When storing and manipulating sparse matrices on a computer, it is beneficial and often necessary to use specialized algorithms and data structures that take advantage of the sparse structure of the matrix. Operations using standard dense matrix structures and algorithms are slow and consume large amounts of memory when applied to large sparse matrices. Sparse data is by nature easily compressed, and this compression almost always results in significantly less computer data storage usage. Indeed, some very large sparse matrices are infeasible to manipulate with the standard dense algorithms.

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### Fill-in Sample Sentences in News

• Kyle Lobstein is likely next in Tigers' parade of fill-ins
Things finally seemed to be turning around for the Tigers. The offense perked up in Minneapolis, with 60 hits during a four-game span, and Justin Verlander was healthy again. Then came the other shoe. Read more on this news related to 'Fill-in'
• Zipadelli, SHR navigating 'emotional roller coaster'
Jeff Burton, Regan Smith lauded for fill-in roles in Tony Stewart's absence Tony Stewart missed his third consecutive NASCAR Sprint Cup Series race this past weekend, and Greg Zipadelli doesn't know when his driver, and close friend, will be back behind the wheel. "It's just an emotional roller coaster all week, you know what I mean?" Zipadel Read more on this news related to 'Fill-in'