X-Nico

unusual facts about two-dimensional



'Hours...'

For the album's initial release, a number of copies featured a lenticular version of the cover, lending a three-dimensional effect to the image.

Additive model

The AM uses a one dimensional smoother to build a restricted class of nonparametric regression models.

Anemic Cinema

The venture was a financial disaster, but some optical scientists thought they might be of use in restoring 3-dimensional sight to people with one eye.

Arakelov theory

An arithmetic cycle of codimension p is a pair (Z, g) where Z ∈ Zp(X) is a p-cycle on X and g is a Green current for Z, a higher dimensional generalization of a Green function.

Articulatory synthesis

Birkholz P, Jackel D, Kröger BJ (2006) Construction and control of a three-dimensional vocal tract model.

Beamforming

Beyond 3G (4G, 5G, …) — More advanced beamforming solutions to support SDMA such as closed loop beamforming and multi-dimensional beamforming are expected

Catholic Medical Center

The orthopedic surgeons now have access to the new O-ARM Imaging System, a high definition CT scan that provides real-time three dimensional images during spine surgery.

Channeling

Mediumistic channeling, the esoteric process of receiving messages or inspiration from extra-dimensional beings or spirits, whereby one is a medium or channel for such an entity.

Chern–Simons theory

The Chern–Simons theory, named after Shiing-Shen Chern and James Harris Simons, is a 3-dimensional topological quantum field theory of Schwarz type, developed by Edward Witten.

Composite fermion

Classical vortices are relevant to the Berezenskii–Kosterlitz–Thouless transition in two-dimensional XY model.

Dennis Sullivan

Sullivan is one of the founders of the surgery method of classifying high-dimensional manifolds, along with Browder, Sergei Novikov and C. T. C. Wall.

Dimensional Fund Advisors

Dimensional hosts a forum where Eugene Fama and Kenneth French express their opinions on topics related to finance and current events.

Dracula Twins

The game, which features two-dimensional movement through a vivid and cartoonish three-dimensional environment, borrows its title and certain references from the classic Bram Stoker novel Dracula.

Endre Szemerédi

Ajtai and Szemerédi proved the corners theorem, an important step toward higher dimensional generalizations of the Szemerédi theorem.

Erik Winfree

In 1998, Winfree in collaboration with Nadrian Seeman published the creation of two-dimensional lattices of DNA tiles using the "double crossover" motif.

Four-dimensional space

The retina of the eye is also a two-dimensional array of receptors but the brain is able to perceive the nature of three-dimensional objects by inference from indirect information (such as shading, foreshortening, binocular vision, etc.).

Galactic Pinball

A distinguishing features of the Colony board is where the user shoots down various meteors to save the Colony from attack in a three dimensional perspective.

Gaussian isoperimetric inequality

In mathematics, the Gaussian isoperimetric inequality, proved by Boris Tsirelson and Vladimir Sudakov and independently by Christer Borell, states that among all sets of given Gaussian measure in the n-dimensional Euclidean space, half-spaces have the minimal Gaussian boundary measure.

Gymnastic formation

The performance of the NGOs, such as the SGI, is widely variable, such as, bi-dimensional wave, sky rocket, windmill, walking wall, walking pyramid, catapult, instantaneous stand-up pyramid, instantaneous stand-up tower, three-layers' plane tower, four-layers' tower, and rarely five-layers' tower.

Infinite-dimensional vector function

Moreover, for any set A, there exist infinite-dimensional vector spaces having the (Hamel) dimension of the cardinality of A (e.g., the space of functions A\rightarrow K with finitely-many nonzero elements, where K is the desired field of scalars).

Jonah David Mann

1989 he received together with Riccardo Giovanelli the Henry Draper Medal for the first three-dimensional view of some of the remarkable large-scale filamentary structures of our visible universe.

JPEG

Next, each 8×8 block of each component (Y, Cb, Cr) is converted to a frequency-domain representation, using a normalized, two-dimensional type-II discrete cosine transform (DCT), which was introduced by N. Ahmed, T. Natarajan and K. R. Rao in 1974; see Citation 1 in Discrete cosine transform.

Junko Mori

She graduated in from Musashino Art University in Tokyo in 1997 with her first BA in three-dimensional design.

Line drawing

Line art, a style of two-dimensional art featuring only two, unshaded, contrasting colors; or

Listing's law

Listing's law describes the three-dimensional orientation of the eye and its axes of rotation.

Local class field theory

Higher dimensional class field theory was pioneered by A.N. Parshin in positive characteristic and K. Kato, I. Fesenko, Sh.

Mehler kernel

It can be written as an infinite series involving the one dimensional probability densities and Hermite polynomials of x and y (see the link to Slepian).

Melamine cyanurate

Melamine and cyanuric acid form a jigsaw puzzle-like two-dimensional hydrogen bonding network because of the complementarity of the two compounds, similar to DNA base pairing.

Michael W. Vannier

On July 19, 1983, M. Vannier (Mallinckrodt Institute of Radiology, St. Louis) and his co-workers J. Marsh (Cleft Palate and Craniofacial Deformities Institute, St. Louis Children's Hospital) and J. Warren (McDonnell Aircraft Company) published the first three-dimensional reconstruction of single CT slices of the human head.

Musée des Plans-Reliefs

The construction of models dates to 1668 when François-Michel le Tellier, Marquis de Louvois and minister of war to Louis XIV, began a collection of three-dimensional models of fortified cities for military purposes, known as 'plans-relief'.

Nick Wallace

His first published work was the short story Five Dimensional Thinking in the Big Finish Productions Bernice Summerfield short story collection, Life During Wartime (Big Finish Productions, 2003), edited by Paul Cornell.

Normal matrix

The concept of normal matrices can be extended to normal operators on infinite dimensional Hilbert spaces and to normal elements in C*-algebras.

Phantogram

Contemporary artists such as Kurt Wenner and Julian Beever use similar techniques to create chalk pavement art that appears to be three-dimensional.

Philip Schram

He worked with Fleurette Morel, the daughter of race driver André Morel, on telling her father’s story through a multi-dimensional concept not seen previously in the market.

Pp-wave spacetime

A more general subclass consists of the axisymmetric pp-waves, which in general have a two dimensional Abelian Lie algebra of Killing vector fields.

Prime manifold

Three-dimensional Euclidean space \R^3 is irreducible: all smooth 2-spheres in it bound balls.

Ralph J. Menconi

His other three-dimensional works include a statue of Christ at the Cathedral of Nassau, Bahamas, and large busts and fountains on the campuses of Pace University in NYC and Pleasantville, NY, and DePaul University in Indiana.

Robert Moody

He is the co-discover of Kac-Moody algebra, a Lie algebra, usually infinite-dimensional, that can be defined through a generalized root system.

Robotics Toolbox for MATLAB

The Toolbox provides functions for manipulating and converting between datatypes such as: vectors;homogeneous transformations; roll-pitch-yaw and Euler angles and unit-quaternions which are necessary to represent 3-dimensional position and orientation.

Self-adjoint operator

If V is finite dimensional with a given basis, this is equivalent to the condition that the matrix of A is Hermitian, i.e., equal to its conjugate transpose A*.

Self-assembled monolayer

Using this technique Chad Mirkin, Schatz and their co-workers were able to make complex two dimensional shapes, a representation of a shape created is shown to the right.

Srini Kumar

Kumar has described his Unamerican project as "Anarchism's ad agency" and "the dimensional interface between manifest and unmanifest" (a line coined by artist Paul Laffoley).

Stereo image

Stereogram, an image intended to give a 3-dimensional visual impression

Stereopticon

A stereopticon will not project or display stereoscopic/three-dimensional images.

TEMA

(TEMA) is the abbreviation of the three dimensional accounting theory of Yuji Ijiri: Momentum Accounting and Triple-Entry Bookkeeping.

Tomonaga

Luttinger liquid, also known as Tomonaga-Luttinger liquid, a theoretical model describing interacting fermions in a one-dimensional conductor

Two-dimensional nuclear magnetic resonance spectroscopy

The first two-dimensional experiment, COSY, was proposed by Jean Jeener, a professor at the Université Libre de Bruxelles, in 1971.

Vitali covering lemma

The first result in this direction was given by David Preiss in 1979: there exists a Gaussian measure γ on an (infinite-dimensional) separable Hilbert space H so that the Vitali covering theorem fails for (H, Borel(H), γ).

Wind turbine aerodynamics

Buckingham π theorem can be applied to show that non-dimensional variable for power is given by the equation below.


see also

Alexander Belavin

Pomeranchuk Prize 2007 for remarkable achievements in quantum field theory, such as instanton solutions in QCD, and deep insights in two-dimensional conformal string theory.

Behold, Eck!

The idea of a two dimensional world was lifted from the 1884 novella Flatland A Romance of Many Dimensions by Edwin Abbott, writer William Cox wove a lighthearted comedy treatment around the two dimensional concept called The Reluctant Monster (this had no relation to Flatland other than the idea of a 2-D world).

Bruria Kaufman

She is known for contributions to Albert Einstein's theory of general relativity, to statistical physics, where she used applied spinor analysis to rederive the result of Lars Onsager on the partition function of the two-dimensional Ising Model, and to the study of the Mössbauer effect, on which she collaborated with John von Neumann and Harry Lipkin.

Casio FX-702P

A single one and/or two dimensional array is supported however array memory space must be reserved (subtracted) from the 1,680 character program space via the DEFM command.

Complex manifold

Riemann surfaces, two dimensional manifolds equipped with a complex structure, which are topologically classified by the genus, are an important example of this phenomenon.

Discontinuous Deformation Analysis

An example of this approach is the research by Chang et al. and also Jing who resolved this problem by adding finite element meshes in the two-dimensional domain of the blocks so that stress variations within the blocks can be allowed.

Ernst G. Bauer

For the study of two-dimensional systems with repulsive or oscillatory interactions, his group developed LEED-diffractometry that allows the determination of critical exponents in chemisorbed layers with accuracy comparable to that achieved with x-rays in physisorbed layers.

Fischer projection

-- and Nawang Sheling, (need a citation for this) --> is a two-dimensional representation of a three-dimensional organic molecule by projection.

ISAR

Inverse synthetic aperture radar, a technique to generate two-dimensional radar images of a target

J. H. Wilkinson Prize for Numerical Software

The 2003 prize was awarded to Jonathan Shewchuk for Triangle, a two-dimensional mesh generator and Delaunay Triangulator.

Joseph Somers

The images are painted not on a two-dimensional surface but instead on three-dimensional wedges, as one moves, the lines of perspective of this 3-D surface change in a way different from that of a 2-D surface, creating a pleasantly disorienting effect of a shifting, swimming surface.

Melamine cyanurate

The complex is held together by an extensive two-dimensional network of hydrogen bonds between the two compounds, reminiscent to that seen in DNA base pairing.

Replicator equation

Bomze, I.M. (1983) Lotka-Volterra equations and replicator dynamics: A two dimensional classification. Biol.

Rocko's Modern Life: Spunky's Dangerous Day

Spunky's Dangerous Day is played as a two-dimensional side-scrolling platform game, and the player controls Rocko.

SGI Indigo

For use as a graphics workstation, the Indigo was equipped with a two-dimensional framebuffer or, for use as a 3d-graphics workstation, with the Elan graphics subsystem including one to four Geometry Engines (GEs).

Surface

For example, the surface of the Earth is (ideally) a two-dimensional sphere, and latitude and longitude provide two-dimensional coordinates on it (except at the poles and along the 180th meridian).

The Spirit Engine 2

The Spirit Engine 2 is a two-dimensional, side-scrolling indie RPG drawn, programmed and written by Mark Pay with music by Josh Whelchel.

The Three Musketeers: One for all!

The game, which features two-dimensional movement through a cartoonish three-dimensional environment, is loosely based on the Dumas classic The Three Musketeers.

Thomas W. Fuller

Housing Le Régiment de Maisonneuve, this Gothic Revival armoury`s two-dimensional façade with a low-pitched gable roof is pressed up against its urban streetscape

Topological defect

Domain walls, two-dimensional membranes that form when a discrete symmetry is broken at a phase transition.

Wild Arms XF

Wild Arms XF is a 2D turn-based tactical role-playing game, creating a gameplay experience somewhere between Dungeons & Dragons and chess.