Hyperbolic geometryIn mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: For any given line R and point P not on R, in the plane containing both line R and point P there are at least two distinct lines through P that do not intersect R. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) The hyperbolic plane is a plane where every point is a saddle point.
Euclidean planeIn mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted E2. It is a geometric space in which two real numbers are required to determine the position of each point. It is an affine space, which includes in particular the concept of parallel lines. It has also metrical properties induced by a distance, which allows to define circles, and angle measurement. A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane.
Pseudo-Euclidean spaceIn mathematics and theoretical physics, a pseudo-Euclidean space is a finite-dimensional real n-space together with a non-degenerate quadratic form q. Such a quadratic form can, given a suitable choice of basis (e1, ..., en), be applied to a vector x = x1e1 + ⋯ + xnen, giving which is called the scalar square of the vector x. For Euclidean spaces, k = n, implying that the quadratic form is positive-definite. When 0 < k < n, q is an isotropic quadratic form, otherwise it is anisotropic.
Absolute geometryAbsolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally, this has meant using only the first four of Euclid's postulates. The term was introduced by János Bolyai in 1832. It is sometimes referred to as neutral geometry, as it is neutral with respect to the parallel postulate. The first four of Euclid's postulates are now considered insufficient as a basis of Euclidean geometry, so other systems (such as Hilbert's axioms without the parallel axiom) are used instead.
Symbolic interactionismSymbolic interactionism is a sociological theory that develops from practical considerations and alludes to humans' particular use of shared language to create common symbols and meanings, for use in both intra- and interpersonal communication. According to Macionis, symbolic interactionism is "a framework for building theory that sees society as the product of everyday interactions of individuals". In other words, it is a frame of reference to better understand how individuals interact with one another to create symbolic worlds, and in return, how these worlds shape individual behaviors.
Architectural styleAn architectural style is a set of characteristics and features that make a building or structure notable or historically identifiable. It is a sub-class of style in the visual arts generally, and most styles in architecture relate closely to a wider contemporary artistic style. A style may include such elements as form, method of construction, building materials, and regional character. Most architecture can be classified within a chronology of styles which changes over time, reflecting changing fashions, beliefs and religions, or the emergence of new ideas, technology, or materials which make new styles possible.
House of MediciThe House of Medici (ˈmɛdᵻtʃi , ˈmɛːditʃi) was an Italian banking family and political dynasty that first consolidated power in the Republic of Florence under Cosimo de' Medici, during the first half of the 15th century. The family originated in the Mugello region of Tuscany, and prospered gradually until it was able to fund the Medici Bank. This bank was the largest in Europe during the 15th century and facilitated the Medicis' rise to political power in Florence, although they officially remained citizens rather than monarchs until the 16th century.
Graphic designGraphic design is a profession, academic discipline and applied art whose activity consists in projecting visual communications intended to transmit specific messages to social groups, with specific objectives. Graphic design is an interdisciplinary branch of design and of the fine arts. Its practice involves creativity, innovation and lateral thinking using manual or digital tools, where it is usual to use text and graphics to communicate visually. The role of the graphic designer in the communication process is that of encoder or interpreter of the message.
Fluid mechanicsFluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect of forces on fluid motion.
Architectural engineeringArchitectural engineering or architecture engineering, also known as building engineering, is an engineering discipline that deals with the engineering systems - such as structural, mechanical, electrical, lighting, environmental, climate control, telecommunications, security, and other technologies used in buildings. From reduction of greenhouse gas emissions to the construction of resilient buildings, architectural engineers are at the forefront of addressing several major challenges of the 21st century.
