| Green Point Hobart, Tasmania | |||||||||||||||
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  Green Point | |||||||||||||||
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| Coordinates | 42°44′26″S147°14′45″E / 42.74056°S 147.24583°E | ||||||||||||||
| Postcode(s) | 7030 | ||||||||||||||
| LGA(s) | Municipality of Brighton | ||||||||||||||
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Green Point, Tasmania, is a far northern suburb of Hobart. It is generally considered by locals to be a part of Bridgewater.
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In mathematics, any vector space has a corresponding dual vector space consisting of all linear forms on together with the vector space structure of pointwise addition and scalar multiplication by constants.
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a set, without the need of a smooth space-time structure defined on it.
The exponential function is a mathematical function denoted by or . Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The exponential function originated from the operation of taking powers of a number, but various modern definitions allow it to be rigorously extended to all real arguments , including irrational numbers. Its ubiquitous occurrence in pure and applied mathematics led mathematician Walter Rudin to consider the exponential function to be "the most important function in mathematics".
In mathematics, an inner product space is a real vector space or a complex vector space with an operation called an inner product. The inner product of two vectors in the space is a scalar, often denoted with angle brackets such as in . Inner products allow formal definitions of intuitive geometric notions, such as lengths, angles, and orthogonality of vectors. Inner product spaces generalize Euclidean vector spaces, in which the inner product is the dot product or scalar product of Cartesian coordinates. Inner product spaces of infinite dimension are widely used in functional analysis. Inner product spaces over the field of complex numbers are sometimes referred to as unitary spaces. The first usage of the concept of a vector space with an inner product is due to Giuseppe Peano, in 1898.
In mathematics, and more specifically in linear algebra, a linear map is a mapping between two vector spaces that preserves the operations of vector addition and scalar multiplication. The same names and the same definition are also used for the more general case of modules over a ring; see Module homomorphism.
Linear algebra is the branch of mathematics concerning linear equations such as:
A map is a symbolic depiction emphasizing relationships between elements of some space, such as objects, regions, or themes.
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There are many types of tensors, including scalars and vectors, dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product. Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system; those components form an array, which can be thought of as a high-dimensional matrix.
In mathematics, the tensor product of two vector spaces V and W is a vector space to which is associated a bilinear map that maps a pair to an element of denoted
In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal of A. The trace is only defined for a square matrix.
In algebra, the kernel of a homomorphism is generally the inverse image of 0. An important special case is the kernel of a linear map. The kernel of a matrix, also called the null space, is the kernel of the linear map defined by the matrix.
In topology, a covering or covering projection is a surjective map between topological spaces that, intuitively, locally acts like a projection of multiple copies of a space onto itself. In particular, coverings are special types of local homeomorphisms. If is a covering, is said to be a covering space or cover of , and is said to be the base of the covering, or simply the base. By abuse of terminology, and may sometimes be called covering spaces as well. Since coverings are local homeomorphisms, a covering space is a special kind of étale space.
In mathematics, an isometry is a distance-preserving transformation between metric spaces, usually assumed to be bijective. The word isometry is derived from the Ancient Greek: ἴσος isos meaning "equal", and μέτρον metron meaning "measure". If the transformation is from a metric space to itself, it is a kind of geometric transformation known as a motion.
Google Maps is a web mapping platform and consumer application offered by Google. It offers satellite imagery, aerial photography, street maps, 360° interactive panoramic views of streets, real-time traffic conditions, and route planning for traveling by foot, car, bike, air and public transportation. As of 2020, Google Maps was being used by over one billion people every month around the world.
Endoxon is a company that was partially acquired by Google in December 2006. The company is based in Lucerne, Switzerland. Endoxon now provides the maps for European countries in Google Maps. Its products included maps that have geo-referenced data with high-resolution aerial and satellite images for dynamic internet and mobile services.
Altimir Glacier is a 4.8-kilometre (3.0 mi) long and 5.5-kilometre (3.4 mi) wide glacier draining the north slopes of the Osterrieth Range on Anvers Island in the Palmer Archipelago, Antarctica. It flows northwards to enter Dalchev Cove in Fournier Bay east of Studena Point.
Chumerna Glacier is the 2.2 km long and 1.9 km wide glacier draining the north slopes of Stavertsi Ridge on Albena Peninsula, Brabant Island in the Palmer Archipelago, Antarctica. It flows northeastwards to enter the channel between Brabant Island and Liège Island east of Hales Peak.
In the theory of Lie groups, the exponential map is a map from the Lie algebra of a Lie group to the group, which allows one to recapture the local group structure from the Lie algebra. The existence of the exponential map is one of the primary reasons that Lie algebras are a useful tool for studying Lie groups.
The Ōshima Strait is a strait between the islands of Amami Ōshima and Kakeromajima in Japan. It is part of the Amami Guntō National Park. From the western most side to the eastern most side of the strait, the strait measures 17.5 miles (28.2 km) long.
The R746 road is a regional road in Ireland. It connects the R702 road at Doran's Cross, County Wexford with the R725 road at Croneyhorn, County Wicklow, via Bunclody. The R746 is 22.2 kilometres (13.8 mi) long.
