With a reel turning at a constant rate, the tape around the hub has a lower linear velocity than the tape at the outside of the reel, so the tape layers must slip past each other as they approach the center.

* A linear map T: V → V is diagonalizable if and only if the sum of the dimensions of its eigenspaces is equal to dim ( V ), which is the case if and only if there exists a basis of V consisting of eigenvectors of T. With respect to such a basis, T will be represented by a diagonal matrix.

With varying returns to scale, however, it may not be entirely linear in either case.

With a spatially constant diffusion coefficient, this is equivalent to the heat equation or linear Gaussian filtering, but with a diffusion coefficient designed to detect edges, the noise can be removed without blurring the edges of the image.

With a finite number of scenarios, two-stage stochastic linear programs can be modelled as large linear programming problems.

With Wolfgang Paul, Nick Pippenger, and William Trotter, he established a separation between nondeterministic linear time and deterministic linear time, in the spirit of the infamous P versus NP problem.

With adjustments for velocity changes, the initial estimate of the hypocenter is made, then a series of linear equations is set up, one for each station.

With its linear pattern of fenestration distributed equally on all floors, it conveys a light feeling of a corporate office building.

With construction of the linear parks, many species native to the river have been replanted, and introduced species have been controlled as weeds.

With linear polarization, turning the glasses sideways causes the filters to go out of alignment with the screen filters causing the image to fade and for each eye to see the opposite frame more easily.

With linear loads, the neutral only carries the current due to imbalance between the phases, which by design is not large.

With Adelaide being a linear city extending north to south, the hills are within of the majority of residents.

With linear demand and identical, constant marginal cost the equilibrium values are as follows:

With respect to ordinary least squares, the relevant assumption of the classical linear regression model is that the error term is uncorrelated with the regressors.

With respect to c, this is a homogeneous set of linear equations, which has a solution when the determinant of the coefficients to these unknowns is zero:

With that choice, the zero vector would be an eigenvector of every linear operator, and any scalar would be an eigenvalue for it.

With the massive proliferation of hand guns ( firearms that could be carried by hand, as opposed to cannon ; not to be confused with handguns ) in the infantry units from the middle of 17th century the battlefield was dominated by linear tactics, according to which the infantry was aligned into long thin lines and fired volleys.

With the exception of corrin, the four pyrrole rings are interconnected through one-carbon ( methine or methylene ) bridges, in either a linear or a cyclic fashion.

Consider the linear probing hash function h ( k, i ): ( h `( k ) + i ) mod N. With k being the key, i the probing-iteration, N being the number of slots in the hash-table and h `( k ) being the secondary-hash function.

With benzoquinone the reaction product was a linear polymer.

With the rise of many other kinds of logic, such as modal logic and linear logic, and novel semantic models, such as game semantics, logics for computability have been formulated in several contexts.

With dimensions of 14 cm × 14 cm × 3. 8 cm ( 5. 5in × 5. 5in × 1. 5in ), the NEC PC Engine holds the record for the world's smallest game console ever made.

With simultaneity, the concept of separate spatial and temporal dimensions was comprehensively challenged.

With the division of the Roman Empire and the collapse of its Western part in the fourth and fifth centuries, power relations in the Alpine region reverted to their local dimensions.

With approximate dimensions, downtown is defined as anything upon the peninsula jutting into the Beaufort River that is located east of Ribaut Road ( US 21 ).

With the public teaching of Kabbalah, from the Middle Ages, the Jewish mystical dimensions of Torah, took on fuller conceptual forms, that could be applied to reinterpret each verse of Scripture.

* With ordinate dimensions, one horizontal and one vertical extension line establish an origin for the entire view.

With their home dimensions destroyed, Superboy, Superman of Earth-Two, his wife Lois Lane, and Alexander Luthor, Jr. of Earth-Three journey to a " paradise dimension ".

With dimensions of 14 mm × 12 mm × 1. 1 mm, it is even smaller and thinner than RS-MMC.

With the transverse engine mounting of its 1169 cc engine and front-wheel drive like the British Mini, the car provided good interior space despite overall small dimensions.

With a successfully completed parameter design, and an understanding of the effect that the various parameters have on performance, resources can be focused on reducing and controlling variation in the critical few dimensions ( see Pareto principle ).

With Mel Ramsden, Ian Burn, Joseph Kosuth, Sarah Charlesworth and others, Corris was a founding editor of The Fox ; an artists-run journal that addressed the political and social dimensions of contemporary artistic practice.

With a span of exactly from the top of the stretch to the finish line and a distance of exactly from the finish line to the beginning of the first ( clubhouse ) turn, the dimensions of the track are considered " typical " or " standard " for an American racetrack.

With the tile courts, the dimensions can be adapted to the space available ; e. g. it is possible to play on a court by.

With four or more dimensions, Ricci curvature does not describe the curvature tensor completely.

With the help of Forge, Deadpool uses a modified version of the teleportation device to track down Cable through various dimensions with Siryn and Cannonball following three minutes behind.

With certain special configurations of the extra dimensions, this effect can lower the Planck scale to the TeV range.

With its release in later 2004 came the ability to use newly-developed, high-capacity 1 gigabyte Hi-MD discs, sporting the same dimensions as regular MiniDiscs.

With the introduction of the Rover SD1 in 1975, the engine was dramatically improved with the ' rope ' oil seals replaced with poly items and the spark plug dimensions changed.

With Southern California being, arguably, the epicenter of the international film industry, KCRW covers the industry in several dimensions: Pulitzer Prize winning Wall Street Journal film critic Joe Morgenstern reviewing movies ; getting past the headlines and digging deep into the deals and deal-makers with Kim Masters on The Business ; getting past the cover page and deep into pop culture matters on " The Treatment " Elvis Mitchell, and commentator Rob Long looks deep beyond the set with his behind-the-scenes look at Hollywood life on Martini Shot.

With powerful wrists and reputedly the sport's best throwing arm, he took advantage of Shibe Park's friendly dimensions to finish among the league leaders in home runs in 1921 and 1922, and batted. 312,. 323, and. 324 in 1924, 1925 and 1927.

With Democratic Left, Ecevit made up a new synthesis by articulating new dimensions such as democracy and socialism to the national independence movement or Kemalism.

With a typical mass of, a maximum mass of, and standard dimensions of 400x270x280 mm ( 15. 7x10. 6x11. 0 in ), the EC provides ample space to accommodate the fluid cell assembly, including any necessary process stimuli and dedicated electronics.

With overall dimensions for the object of high and long, the man at least is close to life-size.