Likewise, Banach's fixed point theorem, based on earlier methods developed by Charles Émile Picard, was included in his dissertation, and was later extended by his students ( for example in the Banach – Schauder theorem ) and other mathematicians ( in particular Bouwer and Poincaré and Birkhoff ).

Likewise, " architecture " refers not only to the design of safe, functional buildings, but also to elements of creation and innovation which aim at elegant solutions to construction problems, to the use of space, and to the attempt to evoke an emotional response in the builders, owners, viewers and users of the building.

Likewise, spheres are compact, but a sphere missing a point is not since a sequence of points can tend to the missing point without tending to any point within the space.

Likewise Mach caused problems when memory had been moved by the operating system, another task that only really makes sense if the system has more than one address space.

Likewise, it is analogous to the finite intersection property characterization of compactness in topological spaces: a collection of closed sets in a compact space has a non-empty intersection if every finite subcollection has a non-empty intersection.

Likewise, a 3-form f ( x, y, z ) dx ∧ dy ∧ dz represents something that can be integrated over a region of space.

Likewise, cast members could be suspended in " space " outside their spacecraft without the problems of studio cramping.

Likewise, the model space for a pseudo-Riemannian manifold of signature (< var > p </ var >, < var > q </ var >) is </ sup > with the metric

Likewise, by evaluating a NURBS surface at various values of the two parameters, the surface can be represented in Cartesian space.

Likewise, S < sup > 2n + 1 </ sup > is a principal U ( 1 )- bundle over complex projective space CP < sup > n </ sup > and S < sup > 4n + 3 </ sup > is a principal Sp ( 1 )- bundle over quaternionic projective space HP < sup > n </ sup >.

Likewise the symmetric algebra and exterior algebra are free symmetric and anti-symmetric algebras on a vector space.

Likewise, the theoretical groundwork done on the Silbervogel would prove seminal to lifting body designs of the space age.

Likewise, the phase space can be defined more deeply using topological manifolds and the cotangent bundle.

In noting Rova's role in developing the all-saxophone ensemble as " a regular and conceptually wide-ranging unit ," The Penguin Guide to Jazz calls its music " a teeming cosmos of saxophone sounds " created by " deliberately eschewing conventional notions about swing prodding at the boundaries of sound and space ..." Likewise Jazz: The Rough Guide notes, " Highly inventive, eclectic and willing to experiment, Rova arguably the most exciting of the saxophone quartets to emerge in the format's late ' 70s boom.

Likewise, a line and a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to be parallel.

Likewise the Wright Brothers beginning in 1904 used a weight and derrick styled catapult to assist their early aircraft with a takeoff in a limited space.

Likewise, if a member is re-written, it is stored in a new spot at the back of the PDS and leaves wasted “ dead ” space in the middle.

Likewise, the treatment of space in classic Hollywood strives to overcome or conceal the two-dimensionality of film (" invisible style ") and is strongly centered upon the human body.

Likewise, an almost Hermitian manifold is an almost complex manifold with a Hermitian metric on its holomorphic tangent space.

Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.

Likewise, moving to point C from point A is not Pareto efficient, as fewer guns are produced.

Likewise, " 1 C corresponds to " when describing an electric displacement field flux.

Likewise, Lazarsfeld's focus on empirical discovery rather than grand theory (" abstract empiricism " in the words of C. Wright Mills ) was one of the spurs that led Robert K. Merton to develop what he called " theories of the middle range.

Likewise, eliminating the entry above C gives

Likewise, the composers ' second fugues ( A minor for Shostakovich, C minor for Bach ) utilize very similar opening rhythms for their fugue subjects ( two 16th notes followed by 3 eighth notes, twice in a row ).

Likewise Frederick C. Crews of The New York Review of Books wrote, " Wells mines the standard evolutionary textbooks for exaggerated claims and misleading examples, which he counts as marks against evolution itself.

Likewise according to Samaritan sources, the high-priestly line of the sons of Phinehas died out in 1624 C. E.

Likewise, it had a thumb-sized keyboard, more like the Treo 600 than the flagship Tungsten T ( This form factor would be reused in the Tungsten C ).

Likewise the Java and. NET implementations wrap the C ++ implementation.

That is, two objects X and X ′ may map to the same object in D ( which is why the range of a full and faithful functor is not necessarily isomorphic to C ), and two morphisms f: X → Y and f ′: X ′ → Y ′ ( with different domains / codomains ) may map to the same morphism in D. Likewise, a full functor need not be surjective on objects or morphisms.

Likewise, Harry Weese designed the new building for Arena Stage and Marcel Breuer the Robert C. Weaver Federal Building ( located at 451 Seventh Street, SW ) to house the newly established United States Department of Housing and Urban Development, and the Hubert H. Humphrey Federal Building.

Likewise, in 1885, the Manville Covering Company was founded in Wisconsin by C. B. Manville.

Likewise, the maximum temperature is usually capped at 30 ° C because most plants and insects do not grow any faster above that temperature.

Likewise one can define the complex Stiefel manifold V < sub > k </ sub >( C < sup > n </ sup >) of orthonormal k-frames in C < sup > n </ sup > and the quaternionic Stiefel manifold V < sub > k </ sub >( H < sup > n </ sup >) of orthonormal k-frames in H < sup > n </ sup >.

Likewise the unitary group U ( n ) acts transitively on V < sub > k </ sub >( C < sup > n </ sup >) with stabilizer subgroup U ( n − k ) and the symplectic group Sp ( n ) acts transitively on V < sub > k </ sub >( H < sup > n </ sup >) with stabilizer subgroup Sp ( n − k ).

Likewise, in Northern Virginia, a Resettlement Administration program was begun to turn an area in Eastern Prince William County into a park for the nearby city of Washington, D. C. that resulted in the loss of three towns: Batestown, Hickory Ridge, and Joplin.

Likewise, Pearl C. Anderson School in Dallas, Texas named their library " The Helen Giddings Media Center.

Likewise, 18 U. S. C.

Likewise, the explorer John C. Frémont used the Fort as both a staging area and as a replenishment junction, for his expeditions.

Likewise, specific insulations are rated 150, 200, or 250 ° C.

Likewise, tan (), tan (), tan (), tan () all satisfy the irreducible polynomial, and so are conjugate algebraic integers.

Likewise, Jesus Christ proclaims in the Gospel of Matthew that one should " Render unto Caesar the things which are Caesar's "; that is at first, literally, the payment of taxes as binding those who use the imperial currency, but more widely interpreted as the offer of obedience and submission to the proclaimed worldly king () in matters not contrary to conscience.

Likewise, in Slovenian, saying " I do not know anyone " () in place of " I do not know no one " () has the connotation " I do not know just anyone " — i. e., I know someone important or special.

Likewise, no means exists for seeking, nor for performing " I / O control " functions such as you'd find with ioctl () in Unix.

Likewise, velar ⟨ nw ⟩ () may be transcribed.

Likewise whether Foo. bar () simply retrieves the value of the attribute, or invokes a function