third fundamental form

матем. третья фундаментальная форма

1) анкета; бланк

2) вид; форма || придавать вид или форму

3) контур; очертание

4) конфигурация

5) разновидность

6) строит. опалубка; элемент опалубки

7) скамейка, лавочка

8) формуляр

9) составлять; образовывать

10) формироваться

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- abridged form

- absolute form

- absolutely bounded form

- abstract form

- adjoint form

- alternating form

- antiholomorphic form

- antilinear form

- antisymmetric form

- arithmetical form

- assertional form

- asymptotic form

- autodual form

- automorphic form

- bihomogeneous form

- bilinear form

- binomial form

- biquadratic form

- blank form

- block form

- boundary form

- bounded form

- bundle form

- categorical form

- center-radius form

- characteristic form

- classical canonical form

- classically integral form

- closable form

- coclosed form

- coded form

- coercive form

- collapsible form

- combinatory form

- compact form

- complementary boundary form

- completely positive form

- complex form

- complex-valued form

- condensed form

- confluent form

- conjugate form

- conjunctive form

- connection form

- contact form

- contiguous form

- contracted form

- convergent form

- convex form

- copositive form

- cubic form

- curvature form

- cusp form

- decimal form

- decomposable form

- defined form

- degenerate form

- diagonal form

- diagonalized form

- difference form

- differential form

- dimensionless form

- discontinuous form

- disjunctive form

- distributive form

- divergence form

- dominant form

- double form

- echelon form

- effective form

- elemental form

- elliptic form

- enantiomorphous form

- equivalent forms

- equivariant form

- essentually definite form

- exact form

- expanded form

- explicit form

- exponential form

- extensive form

- exterior form

- extreme form

- fiber form

- final form

- first fundamental form

- flat form

- form of constraint

- functional form

- fundamental form

- gage form

- generalized form

- generally covariant form

- goniometric form

- ground form

- hemihedral form

- holohedral form

- homological form

- horizontal form

- hyperbolic form

- hypocontinuous form

- implicative form

- implicit form

- imprimitive form

- improperly primitive form

- indeterminate form

- index form

- inertia form

- inhomogeneous modular form

- initial form

- integer form

- integrable form

- integrated form of equation

- integro-differential form

- integro-power form

- intercept form

- intersection form

- invariant form

- irreducible form

- irredundant form

- iteratable form

- iterated form

- krakowian form

- left-invariant form

- limiting form

- locally compactifiable form

- logarithmical form

- measurable form

- meromorphic form

- message form

- minimal form

- modular form

- m-sectorial form

- multilinear form

- multiplicative form

- name form

- n-ary form

- negative definite form

- negative form

- negative semidefinite form

- neutral form

- nondegenerate form

- nonfull form

- nonnegative definite form

- nonnegative form

- nonpositive definite form

- nonpositive form

- nonsingular form

- norm form

- normal disjunctive form

- normed form

- normic form

- nuclear bilinear form

- null form

- numerical form

- one-signed quadratic form

- open form

- operator form

- optically active form

- parametric form

- perfect form

- Pfaffian form

- piecewise linear form

- point-direction form

- point-slope form

- polarization form

- polarized form

- polylinear form

- polynomial form

- positive semidefinite form

- predicate form

- prime form

- primitive quadratic form

- principal form

- product form

- projective form

- properly equivalent forms

- propositional form

- pseudoasymptotic form

- pseudoelliptical form

- pseudoholomorphic form

- pseudoquadratic form

- pseudovolume form

- quantifier form

- quartic form

- quasiasymptotic form

- quasibilinear form

- quasidiagonal form

- quasinatural form

- quasinormal form

- quasiregular form

- quaternary form

- quaternion form

- rational form

- real-valued form

- reciprocal form

- rectangular form of complex number

- reduced echelon form

- reduced form of quadratic equation

- reduced form

- reflexive form

- relative defferential form

- residual form

- residue form

- resolving form

- resultant form

- scalar form

- second fundamental form

- self-conjugate form

- self-dual form

- semibasic form

- semibilinear form

- semicanonical form

- semicontinuous form

- semidefinite form

- semidiscrete form

- semiequivalent form

- seminormal form

- separately continuous form

- sesquilinear form

- shape form

- sharp form

- sign-and-absolute-value form

- simplified form

- skew-symmetric form

- slope-intercept form

- smooth form

- solder form

- space form

- special minimal form

- spectral form

- spinor form

- statement form

- strictly positive form

- structural form

- supercusp form

- symbolic form

- symmetric form of equation

- symmetrized form

- symplectic form

- tensorial form

- ternary quadratic form

- three-point form

- torsion form

- totally continuous form

- trace form

- transposed form

- trilinear form

- triple-diagonal form

- two-intercept form

- two-point form

- unbounded form

- unit bilinear form

- unitary form

- vectorial form

- vector-valued form

- vicinal form

- weighted form of lemma

SUBJECT AREA: Architecture and building

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Mies van der Rohe was the son of a stonemason and his early constructional training came from his father. As a young man he gained experience of the modern school from study of the architecture of the earlier leaders, notably Peter Behrens, Hendrik Berlage and Frank Lloyd Wright. He commenced architectural practice in 1913 and soon after the First World War was establishing his own version of modern architecture. His building materials were always of the highest quality, of marble, stone, glass and, especially, steel. He stripped his designs of all extraneous decoration: more than any of his contemporaries he followed the theme of elegance, functionalism and an ascetic concentration on essentials. He believed that architectural design should not look backwards but should reflect the contemporary achievement of advanced technology in both its construction and the materials used, and he began early in his career to act upon these beliefs. Typical was his early concrete and glass office building of 1922, after which, more importantly, came his designs for the German Pavilion at the Barcelona Exposition of 1929. These designs included his famous Barcelona chair, made from chrome steel and leather in a geometrical design, one which has survived as a classic and is still in production. Another milestone was his Tugendhat House in Brno (1930), a long, low, rectilinear structure in glass and steel that set a pattern for many later buildings of this type. In 1930 Mies followed his colleagues as third Director of the Bauhaus, but due to the rise of National Socialism in Germany it was closed in 1933. He finally left Germany for the USA in 1937, and the following year he took up his post as Director of Architecture in Chicago at what is now known as the Illinois Institute of Technology and where he remained for twenty years. In America Mies van der Rohe continued to develop his work upon his original thesis. His buildings are always recognizable for their elegance, fine proportions, high-quality materials and clean, geometrical forms; nearly all are of glass and steel in rectangular shapes. The structure and design evolved according to the individual needs of each commission, and there were three fundamental types of design. One type was the single or grouped high-rise tower, built for apartments for the wealthy, as in his Lake Shore Drive Apartments in Chicago (1948–51), or for city-centre offices, as in his Seagram Building in New York (1954–8, with Philip Johnson) or his Chicago Federal Centre (1964). Another form was the long, low rectangle based upon the earlier Tugendhat House and seen again in the New National Gallery in Berlin (1965–8). Third, there were the grouped schemes when the commission called for buildings of varied purpose on a single, large site. Here Mies van der Rohe achieved a variety and interest in the different shapes and heights of buildings set out in spatial harmony of landscape. Some examples of this type of scheme were housing estates (Lafayette Park Housing Development in Detroit, 1955–6), while others were for educational, commercial or shopping requirements, as at the Toronto Dominion Centre (1963–9).

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- absolute tensor

- adjoint tensor

- affine tensor

- alternating tensor

- antimetric tensor

- antisymmetric tensor

- associated tensor

- auxiliary tensor

- axial tensor

- bilinear tensor

- bivalent mixed tensor

- change-of-curvature tensor

- completely antisymmetric tensor

- complex tensor

- conductivity tensor

- conformal tensor

- conjugate tensor

- connecting tensor

- contracted tensor

- contravariant tensor

- correlation tensor

- covariant tensor

- decomposable tensor

- deformation tensor

- derived tensor

- deviation tensor

- dimensionless tensor

- discriminant tensor

- displacement tensor

- divergence tensor

- divergenceless tensor

- double tensor

- doubly covariant tensor

- dual tensor

- effective tensor

- energy momentum tensor

- energy-momentum tensor

- field tensor

- first-rank tensor

- flag tensor

- fourth-rank tensor

- fundamental tensor

- gage-invariant tensor

- generalized tensor

- generic tensor

- geodesic tensor

- gradient tensor

- harmonic tensor

- identity tensor

- indefinite tensor

- inertia tensor

- inverse tensor

- irreducible tensor

- isotropic tensor

- linearizing tensor

- linearly independent tensor

- mixed tensor

- multiplicative tensor

- negatively definite tensor

- nilvalent tensor

- nondegenerate tensor

- nonsingular tensor

- nonsymmetric tensor

- normal tensor

- normalized tensor

- null tensor

- numerical tensor

- off-diagonal metric tensor

- orthogonal tensor

- partial tensor

- permanent tensor

- permutation tensor

- planar tensor

- polar tensor

- polarization tensor

- positively definite tensor

- pressure tensor

- projective curvature tensor

- projective tensor

- pseudoharmonic tensor

- pure tensor

- rational tensor

- real tensor

- recurrent tensor

- relative tensor

- rotation tensor

- scalar tensor

- scattering tensor

- second-rank tensor

- self-adjoint tensor

- self-dual tensor

- skew-symmetric tensor

- solid tensor

- space tensor

- spherical tensor

- spin tensor

- spurless tensor

- statistical tensor

- stiffness tensor

- strain tensor

- strain velocity tensor

- stress tensor

- structural tensor

- surface tensor

- symplectic tensor

- tensor of conformal curvature

- tensor of strain

- tensor of zero rank

- third-rank tensor

- three-dimensional tensor

- time-like tensor

- torsion tensor

- traceless tensor

- two-index tensor

- two-point tensor

- unit tensor

- universal tensor

- vorticity tensor

- wave tensor

- weight of tensor

- weighted tensor

- zero-order tensor

- zero-valency tensor