exponential shape

1) вид

2) конфигурация

3) модель, образец || моделировать

4) образ; очертание

5) форма || придавать форму

6) фасонный || фасонировать

7) формализовать

8) формировать(ся)

•

- arbitrary shape

- asymptotic shape

- axially symmetric shape

- body shape

- compact shape

- curve shape

- cylindrical shape

- diamond shape

- double-T shape

- elliptic shape

- envelope shape

- exponential shape

- geometric shape

- groove shape

- indecomposable shape

- irregular shape

- local shape

- maximal shape

- pointed shape

- shape of distribution

- shape of shell

- simple shape

- space shape

- squared shape

- structural shape

- symbol shape

- true shape

- wave shape

1) распределение; распространение; раздача

2) стат. распределение (вероятностей), закон распределения

3) размещение, расположение

4) разводка (напр., кабельных соединений)

5) разделение, классификация

6) зоол. ареал (область обитания какого-л. организма на земной поверхности)

7) мех. эпюра

8) полигр. разбор ( шрифта)

9) растир, раскат ( краски)

•

- absolute distribution

- actual distribution

- almost-normal distribution

- alpha distribution

- angular distribution

- antimodal distribution

- approximate distribution

- arbitrary distribution

- arc sine distribution

- arithmetic distribution

- assumed distribution

- asymmetric distribution

- asymptotic distribution

- atomic distribution

- automatic call distribution

- basic distribution

- bell-shaped distribution

- beta-binomial distribution

- beta-gamma distribution

- beta-prime distribution

- biextremal distribution

- bihump distribution

- bilateral distribution

- binomial-beta distribution

- binomial-uniform distribution

- birth distribution

- bivariate normal distribution

- bounded distribution

- branching distribution

- call distribution

- canonical distribution

- cardioid distribution

- censored distribution

- centered distribution

- central-hump distribution

- centroid of distribution

- circular distribution

- closed distribution

- cluster-invariant distribution

- combined distribution

- compatible distribution

- complete distribution

- complex distribution

- composed distribution

- composite distribution

- compound distribution

- compound exponential distribution

- compound frequency distribution

- concentrically homogeneous distribution

- contagious distribution

- continuable distribution

- continuous distribution

- convoluted distribution

- counting distribution

- covariance distribution

- death distribution

- decomposable distribution

- defective distribution

- degenerate distribution

- delta distribution

- diagonal distribution

- diagonally symmetric distribution

- differentiable distribution

- diffuse distribution

- discrete distribution

- discrete distribution

- displaced exponential distribution

- distribution of demand

- distribution of eigenvalues

- distribution of errors

- distribution of gas

- distribution of means

- distribution of primes

- distribution of ranges

- distribution of sample means

- distribution of sample sums

- distribution of sample

- distribution of sequence

- distribution of states

- distribution of sum

- distribution of unit mass

- distribution of variance

- distribution of zeros

- double exponential distribution

- double noncentral distribution

- double stochastic distribution

- double truncated distribution

- Dryuvesteyn distribution

- effect distribution

- elliptical distribution

- elliptically symmetric distribution

- equibinomial distribution

- equiprobability distribution

- ergodic distribution

- even distribution

- event distribution

- exact distribution

- expected distribution

- experimental distribution

- exponential gamma distribution

- exponential-type distribution

- extremal distribution

- extreme value distribution

- extremely asymmetrical distribution

- factorial distribution

- factorizable distribution

- fiducial distribution

- final distribution

- final posterior distribution

- finite dimensional distribution

- first asymptotic distribution

- first-passage distribution

- fitted distribution

- flat-topped distribution

- folded distribution

- fractional distribution

- general distribution

- genotype distribution

- geographical distribution

- grand canonical distribution

- grouped distribution

- group-reduced distribution

- half-normal distribution

- harmonic distribution

- heterogeneous distribution

- heterotype distribution

- homogeneous distribution

- horizontal distribution

- hyperbinomial distribution

- hyperbolic secant distribution

- hyperexponential distribution

- hypothesized distribution

- ideal distribution

- improper distribution

- indecomposable distribution

- infinitely divisible distribution

- infinitesimal distribution

- inhomogeneous distribution

- initial distribution

- input distribution

- integrable distribution

- integral distribution

- interevent distribution

- inverse distribution

- inverted distribution

- involutive distribution

- irregular distribution

- isotropic distribution

- judgemental distribution

- Junge distribution

- lambda distribution

- lattice distribution

- least favorable distribution

- left truncated distribution

- leptokurtic distribution

- level-density distribution

- limit distribution

- limiting distribution

- linear distribution

- linearly singular distribution

- load distribution

- logarithmic distribution

- logarithmically normal distribution

- logarithmic-series distribution

- logistic distribution

- mass distribution

- Maxwellian distribution

- measured distribution

- mesokurtic distribution

- microcanonical distribution

- mixed distribution

- mixture distribution

- moderately asymmetrical distribution

- multidimensional distribution

- multimodal distribution

- multinomial distribution

- multinormal distribution

- multiplicative distribution

- multiply periodic distribution

- n-dimensional distribution

- near-normal distribution

- negative binomial distribution

- negative binomial distribution

- negative exponential distribution

- negative multinomial distribution

- negative polynomial distribution

- negatively-skewed distribution

- nonarithmetic distribution

- noncentral distribution

- nondecomposable distribution

- nondegenerate distribution

- nonholonomic distribution

- nonlattice distribution

- nonnormal distribution

- nonsingular distribution

- non-singular normal distribution

- nonstable distribution

- nonstationary distribution

- nonsymmetric distribution

- non-uniform distribution

- normalized distribution

- observable distribution

- observed distribution

- odd-shape distribution

- omega-square distribution

- one-dimensional distribution

- outgoing distribution

- parabolic distribution

- parametric distribution

- parametrized distribution

- particle size distribution

- partitioned distribution

- payoff distribution

- peaked distribution

- periodic distribution

- permutation distribution

- platykurtic distribution

- polar distribution

- polyhypergeometric distribution

- positive binomial distribution

- positive distribution

- positively-skewed distribution

- power-function distribution

- power-series distribution

- predicted distribution

- predictive distribution

- preference distribution

- preposterior distribution

- primary distribution

- primitive distribution

- principle of distribution

- product distribution

- pseudo-F distribution

- pseudonormal distribution

- pseudo-t distribution

- pulse-height distribution

- quadrinomial distribution

- quadrinormal distribution

- quadrivariate distribution

- quasibinomial distribution

- quasiequilibrium distribution

- quasipolynomial distribution

- quasiposterior distribution

- quasistable distribution

- quasistationary distribution

- radial distribution

- randomized distribution

- reciprocal distribution

- recurrence time distribution

- reduced normal distribution

- response-time distribution

- right truncated distribution

- right-triangular distribution

- risk distribution

- root distribution

- sampling distribution

- scale-modified chi-square distribution

- semistable distribution

- semitriangular distribution

- sex distribution

- shifted gamma distribution

- single-sided distribution

- single-truncated distribution

- single-variate distribution

- smooth distribution

- smoothed distribution

- solenoidal distribution

- space distribution

- special distribution

- spectral energy distribution

- spherical distribution

- spherically symmetric distribution

- spline distribution

- squared normal distribution

- standardized distribution

- starting distribution

- statistical distribution

- step-function distribution

- stochastic distribution

- strictly stable distribution

- studentized chi-squared distribution

- subbinomial distribution

- superpositive distribution

- surface distribution

- symmetrical distribution

- tempered distribution

- test distribution

- three-parameter distribution

- topological distribution

- transient distribution

- translated distribution

- Treanor distribution

- trimodal distribution

- trinomial distribution

- trivariate distribution

- true distribution

- two-humped distribution

- two-parameter distribution

- two-point distribution

- two-sided distribution

- type of distribution

- unbounded distribution

- unconditional distribution

- ungrouped distribution

- univariate distribution

- unsymmetrical distribution

- vector-valued distribution

- weibullized distribution

- weighted distribution

- wrapped-up normal distribution

- wrong distribution

- zero distribution

- zeta distribution

1) коэффициент; множитель || разлагать на множители

2) фактор

3) показатель

1) функция, действие || функционировать; действовать

- decision-making function

2) функциональное назначение; роль

- auxiliary function

- system function

3) функциональное подразделение ( предприятия)

- maintenance function

4) функциональный узел ( машины)

- press function

5) матем. функциональная зависимость, функция

- Abelian function

- absolute density function

- abstract function

- accuracy function

- acidity function

- acyclic function

- additive random function

- advanced function

- affect function

- affine function

- algebraically definable function

- algebroid function

- almost bounded function

- alpha function

- alternating function

- ambiguous function

- analytically extended function

- angle function

- antianalytic function

- antiholomorphic function

- antihyperbolic function

- antilinear function

- antiperiodic function

- antisymmetric function

- antitone function

- antitrigonometric function

- aperiodic function

- Appell function

- approximately continuous function

- arbitrary function

- arcus function

- area function

- arithmetical function

- arithmetically extensible function

- associated function

- asymmetric function

- asymptotic function

- asymptotical distribution function

- atomic function

- attainability function

- autocovariance function

- autocovariance generating function

- automorphic function

- auxiliary function

- averaged function

- averaging function

- balayage function

- barrier function

- basis function

- behavioral function

- beta binomial function

- beta incomplete function

- biadditive function

- biaffine function

- bias function

- bicomplex function

- bicubic function

- biharmonic function

- biinvariant function

- bijective function

- bilinear function

- bimodal function

- bimultiplicative function

- binding function

- binomial distribution function

- binonlinear function

- biregular function

- biunique function

- bivariate function

- boundary characteristic function

- boundary characteristic function

- boundary function

- bounded above function

- bounded function

- bracket function

- broad function

- broken-line function

- bulb function

- bump function

- canonical function

- canonically definable function

- capacity function

- carpeting function

- carrier function

- casino function

- causal function

- cellwise constant function

- centering function

- certain function

- chain function

- chance function

- chi-square function

- choice function

- chord function

- chromatic function

- circularly symmetric function

- class function

- close to convex function

- cluster function

- clutching function

- codimension function

- coefficient function

- coercive function

- cofinite function

- coherence function

- collapsing function

- color function

- combinatorial function

- combined function

- commutator function

- compact function

- compactly supported function

- compact-valued function

- comparative function

- complementary function

- complementary trigonometric function

- complex-valued function

- complicated function

- component function

- composite function

- computably ambiguous function

- concave-convex function

- concentrated function

- concentration function

- concordant function

- conditional power function

- cone function

- confluent function

- confluent hypergeometric function

- congruence function

- conical function

- conjugate function

- connecting function

- consistent function

- constant-preserving function

- constrained function

- constraint function

- constructive function

- constructively nonrecursive function

- consumption function

- content function

- contiguous function

- continuously differentiable function

- continuum function

- contracting function

- contraction function

- contrast transfer function

- convergent function

- converse function

- convex-concave function

- cosecant function

- cosine function

- cospectral function

- cost function

- cosuperharmonic function

- cotangent function

- countably additive function

- counting function

- course-of-value function

- covariance function

- cramp function

- created function

- creating function

- criterion function

- critical function

- crosscorrelation function

- cross-covariance function

- cross-variance function

- cumulant function

- cumulant generating function

- cup function

- curvilinear function

- cuspidal function

- cyclically monotone function

- cyclometric function

- cylinder function

- decay function

- decoding function

- decomposable function

- decomposing function

- defect function

- deficient function

- degenerate function

- delta function

- denumerably-valued function

- dependence function

- depletion function

- derived function

- descriptive function

- design function

- determinate function

- diagonal function

- diagonalization function

- dibeta function

- difference function

- differential function

- digamma function

- dilogarithmic function

- dimensional function

- dimensionless function

- directing function

- discontinuous function

- discrete function

- discriminant function

- disjoined function

- dispersion function

- dissipative function

- distance function

- disturbing function

- ditonic function

- divergence-free vector function

- divergent function

- divisor function

- dominant function

- donor function

- don't care function

- double-spectral function

- double-valued function

- doubly orthogonal function

- dual function

- dyadic function

- effective function

- effectively calculable function

- effectiveness function

- efficiency function

- elementarily recursive function

- ellipsoidal function

- elliptic cylinder function

- empirical function

- empty function

- encoding function

- endogeneous function

- entire function of finite type

- entropy function

- enumerating function

- enumeration function

- envelope function

- equal-ripple function

- equibounded function

- equilibrium function

- equivalence function

- essentially bounded function

- estimable function

- estimating function

- everywhere continuous function

- excessive function

- excitation function

- exhaustion function

- expandable function

- expansion function

- expansive function

- expectation function

- expenditure function

- explicitly bounded function

- extendable function

- extended function

- extensional function

- exterior function

- extremal function

- extremized function

- extremum function

- factor function

- factorable function

- factored function

- factorial function

- fatigue function

- feably oscillating function

- featureless function

- field function

- filter function

- filtration function

- final state function

- finitary function

- finite-dimensional function

- finitely additive function

- finite-path function

- fitted function

- flat function

- flow function

- force function

- forcing function

- forecast function

- formally ordered function

- fractional function

- frequency distribution function

- frequency function

- full function

- fully closed function

- function of a single variable

- function of function

- function of high smoothness

- function of intervals

- function of matrix

- function of maximal growth

- function of phase

- function of position

- function of random variable

- function of set

- function of several complex variables

- function of singularities

- function of state

- function of support

- function of time

- function of transition

- function of two variables

- fundamental function

- fuzzy function

- gage function

- gage-like function

- game function

- general recursive function

- given function

- global defining function

- goniometric function

- grammatical function

- graph-valued function

- greatest-integer function

- group function

- group-reduction function

- growth function

- halo function

- harmonizable function

- height-gain function

- hemicylindrical function

- Herglotz function

- heuristic function

- higher function

- homographic function

- homology function

- homotopic function

- hyperanalytic function

- hyperarithmetical function

- hyperbolic cylinder function

- hypercomplex function

- hyperelliptic function

- hyperharmonic function

- hyperrank function

- hyperspherical function

- hypertranscendental function

- hypoanalytic function

- ideal function

- imaginary function

- immediate successor function

- improper function

- impulse function

- inclusion function

- inclusive function

- incomplete beta function

- increment function

- indecomposable function

- indefinite function

- index function

- indicial function

- individual function

- induced function

- inductive function

- inductively definable function

- infinite function

- infinitely differentiable function

- infinitesimal function

- information function

- information-packing function

- initial function

- injective function

- inner function

- input function

- insolvency function

- integrable function

- integral function of mean type

- integrating function

- intensity function

- interior function

- intermediary function

- interpolating function

- interpolatory function

- interval function

- inverse hyperbolic function

- invertible function

- irrational function

- irreducible function

- irregular function

- isotone function

- iterated function

- iteration function

- kernel function

- kinked function

- knapsack function

- lacunary function

- lambda function

- lattice function

- Lauricella function

- left-continuous function

- left-invariant function

- left-invertible function

- lexical function

- lifting function

- likelihood function

- limit of function

- limitable function

- limiting function

- linear discriminant function

- linearized function

- linearly dependent function

- local function

- locally analytic function

- locally approximable function

- logarithmically concave function

- logarithmically convex function

- logarithmico-exponential function

- logical addition function

- logical function

- logical multiplication function

- logistic function

- log-likelihood function

- loss-of-utility function

- lower closed function

- lower function

- lower measurable function

- majorizing function

- many-valued function

- mapping function

- marginal distribution function

- mathematical function

- matrix function

- matrix-convex function

- maximal function

- mean-value function

- measurable function

- measure function

- measure-limited function

- mechanically computable function

- member function

- meromorphic function

- mesh function

- metaharmonic function

- metapragmatic function

- metasemantic function

- metaspherical function

- minimal function

- minimizing function

- minimum function

- minority function

- mixing function

- modified function

- modular function

- molecular set function

- moment generating function

- moment-generating function

- monochromatic function

- monodromic function

- monogenic function

- monomial function

- monomially alternating function

- monotonic function

- multiaffine function

- multiconstrained function

- multidimensional function

- multiextremal function

- multilinear function

- multiplace function

- multiple valued function

- multiplicity function

- multiplier function

- multiply harmonic function

- multithreshold function

- multivalent function

- multivalued function

- multivariable function

- multivariant function

- mutual covariance function

- n-ary function

- nearly continuous function

- negligible function

- never-decreasing function

- never-increasing function

- next-state function

- nice function

- n-linear function

- n-metacaloric function

- noise function

- nomographic function

- nonanalytic function

- nonanticipative random function

- nonatomic function

- nonbounded function

- nonconstant function

- nondecreasing function

- nondegenerate function

- nondifferentiable function

- nonelementary function

- nonharmonizable function

- nonincreasing function

- noniterated function

- nonlattice function

- nonmonotonic function

- nonnegative definite function

- nonnegative function

- nonpositive function

- nonrandom function

- nonrecursive function

- nonsymmetrical density function

- nontrivial function

- nonvanishing function

- norm function

- normalizable function

- normalized coherence function

- n-place function

- n-point function

- n-th order function

- null function

- number-theoretical function

- numeralwise decidable function

- observation function

- odd function

- omega function

- one-loop function

- one-parameter function

- one-periodic function

- one-place function

- one-sheeted function

- one-sided function

- one-step function

- one-valued function

- one-variable function

- open propositional function

- operative function

- operator function

- optimal decision function

- optimizable function

- optimized function

- order function

- order of function

- order preserving function

- orderable function

- ordered function

- ordering function

- ordinal function

- orientation function

- original function

- orthonormal function

- oscillating function

- oscillatory function

- outcome function

- outer function

- p-adic function

- pair correlation function

- pairing function

- parabolical cylinder function

- parametrization function

- parametrized function

- partially computable function

- partially differentiable function

- partially recursive function

- partition function

- partition preserving function

- partitionable function

- patch function

- pattern function

- peaked function

- peakless function

- Pearcey function

- penalty function

- pentagamma function

- permanent function

- perturbation function

- phase function

- phi function

- picture function

- piecewise analytic function

- piecewise continuously differentiable function

- piecewise expanding function

- plotted function

- pluriharmonic function

- plurisubharmonic function

- plurisublinear function

- plurisuperharmonic function

- point spread function

- pointwise bounded function

- pointwise discontinuous function

- policy function

- polyanalytic function

- polydromic function

- polygamma function

- polygenic function

- polygonal function

- polyhedral function

- polymorphic function

- polynomial clutching function

- polynomial function

- polynomially bounded function

- portfolio function

- posinomial function

- positive definite function

- predetermined function

- predicate function

- predicate preserving function

- predual function

- premeromorphic function

- prescribed function

- primal function

- primary function

- prime-divisor function

- primitively recursive function

- principal function

- probability density function

- process function

- product function

- production function

- productive function

- profit function

- projection function

- projective function

- propagation function

- proximally continuous function

- proximity function

- pseudoanalytic function

- pseudoconcave function

- pseudoconjugate function

- pseudoconvex function

- pseudodifferentiable function

- pseudoelliptic function

- pseudoharmonic function

- pseudohyperanalytic function

- pseudolikelihood function

- pseudolinear function

- pseudoperiodic function

- pseudopotential function

- pseudoproper function

- pseudorandom function

- pure quadratic function

- quadratic function

- quadratically integrable function

- quantile function

- quasiaffine function

- quasialgebraic function

- quasianalytic function

- quasibounded function

- quasiconcave function

- quasiconformal function

- quasicontinuous function

- quasiconvex function

- quasidifferentiable function

- quasidoubly periodic function

- quasielliptic function

- quasiexcessive function

- quasiexponential function

- quasiharmonic function

- quasihomogeneous function

- quasiinterpolating function

- quasimonotonic function

- quasiperiodic function

- quasipolynomial function

- quasiradial function

- quasirecursive function

- quasiseparable function

- quasismooth function

- quasistandard function

- quasistar function

- quasisummation function

- quasiuniformly continuous function

- quasiunimodal function

- quaternion function

- radially symmetric function

- ramification function

- ramified function

- randomized decision function

- ray function

- Rayleigh dissipation function

- real-definite function

- real-valued function

- recession function

- reciprocal function

- recover function

- rectangle function

- recursively calculable function

- reduced function

- regression function

- regret function

- regularized function

- regularly varying function

- regulated function

- relation reserving function

- remuneration function

- renewal function

- renormalized function

- repeatedly differentiable function

- representable function

- representative function

- resolutive function

- resolvent function

- restricted function

- restricting function

- retarded function

- retracting function

- ridge function

- Riemann zeta function

- right-continuous function

- right-invariant function

- roof function

- root-mean-square function

- rudimentary function

- ruin function

- ruled function

- saddle function

- saltus function

- sample distribution function

- sampling function

- sandwich function

- scalar analytical function

- scedastic function

- scheme function

- schlicht function

- search function

- section of function

- sectionally continuous function

- selective function

- self-dual function

- self-indexing function

- self-reciprocal function

- semiarithmetical function

- semicoercive function

- semicontinuous function

- semicylindrical function

- semidefinite function

- semiintegrable function

- semiinvariant function

- semimodular function

- semimultiplicative function

- semiproductive function

- semispectral function

- semisymmetric function

- sentential function

- separably valued function

- separately continuous function

- separation function

- sequence function

- sequential function

- sequentially continuous function

- set-preserving function

- set-valued function

- shape function

- sharp function

- shifted function

- sifting function

- sigma function

- signaling function

- simple function

- simply measurable function

- single-humped function

- singly periodic function

- singular function

- singularity function

- sinusoidal function

- skew-symmetric function

- slowly decreasing function

- source function

- sourcewise representable function

- space-dependent function

- space-time function

- spannable function

- spheroidal function

- spinor-valued function

- spline function

- square-integrable function

- square-sine function

- square-summable function

- stability function

- stable function

- starlike function

- star-shaped function

- stationary random function

- statistical function

- status function

- steadily decreasing function

- stiff function

- stochastic function

- stochastic transition function

- straight-line function

- stream function

- streamline function

- strength function

- stretch function

- strictly concave function

- stroke function

- strongly continuous function

- structure function

- subadditive function

- subdifferentiable function

- subintegral function

- subinvariant function

- submultiplicative function

- suboperative function

- suboptimized function

- subordinated function

- subparabolic function

- subregular function

- success function

- sufficiently differentiable function

- sum function

- summatory function

- superadditive function

- supercaloric function

- supercontinuous function

- supermedian function

- supermultiplicative function

- superparabolic function

- superregular function

- surface function

- surjective function

- switching function

- symbolic function

- symmetrizable function

- symmetrized function

- tabulated function

- tame function

- tangential function

- target function

- temperate function

- temperature function

- tempered function

- tensor function

- ternary function

- tesseral function

- tetrachoric function

- tetragamma function

- time-limited function

- time-varying function

- tissue function

- toroidal function

- torus function

- total function

- total recursive function

- totient function

- tower function

- trace function

- transferable function

- transfinite function

- transformation function

- transition probability function

- translation function

- translation invariant function

- transmission function

- trapezoidal function

- trend function

- trial function

- triangle function

- tribeta function

- trigamma function

- trilinear function

- true function

- truncated function

- truncation function

- twice differentiable function

- twistor function

- two-parameter function

- two-place function

- two-point function

- two-sided function

- typically real function

- ultradifferentiable function

- ultraspherical function

- unbounded function

- uncertainty function

- uncomputable function

- unconditionally summable function

- unconstrained function

- undecomposable function

- undefined function

- uneven function

- uniform function

- uniformizing function

- uniformly approximable function

- unimodular function

- uniquely nomographic function

- unisolvent function

- unit function

- unit impulse function

- univalent function

- univariate function

- universally measurable function

- unknown function

- unramified function

- upper closed function

- valuation function

- vector-valued function

- vertex function

- voting function

- weakly additive function

- well-behaved function

- well-integrable function

- window function

- wrapping function

- wurzelfrei function

- zero function

- zonal spherical function

1) диспетчер

2) владелец ( оборудования)

3) машинист

4) оператор машины или системы

- console operator

- network operator

5) средство управления

6) матем. оператор

- a posteriori operator

- a priori operator

- abnormal operator

- absolutely continuous operator

- abstraction operator

- accretive operator

- adjont operator

- admissible operator

- all operator

- almost algebraic operator

- almost inverse operator

- analytic operator

- angular momentum operator

- antilinear operator

- antisymmetric operator

- antisymmetrization operator

- antiunitary operator

- associate operator

- asymptotic operator

- asymptotically linear operator

- autoregressive operator

- backward operator

- backward shift operator

- backward-difference operator

- balayage operator

- barycentric operator

- base operator

- basis-preserving operator

- bicontinuous operator

- bidual operator

- biharmonic operator

- bijective operator

- bilinear operator

- bilocal operator

- biregular operator

- birth operator

- bisingular operator

- bisymmetric operator

- boundary operator

- bounded above operator

- bounded operator

- canonical operator

- causal operator

- central operator

- central-difference operator

- chain operator

- characteristic operator

- charge operator

- classical operator

- closable linear operator

- closable operator

- closed operator

- closure operator

- coanalytic operator

- coboundary operator

- codifferential operator

- coercive operator

- cohomology operator

- compact operator

- complementary operator

- complete operator

- completely continuous operator

- complex operator

- concave operator

- conditional operator

- conjugate operator

- conjugation operator

- conserved operator

- constant operator

- continuously differentiable operator

- contraboundary operator

- contraction operator

- converging operator

- convex operator

- convexoid operator

- convolution operator

- correlation operator

- cosingular operator

- counting operator

- covariant operator

- covariation operator

- cumulant operator

- curl operator

- curvature operator

- decision operator

- decomposable operator

- deformation operator

- degenaracy operator

- degeneracy operator

- degenerate operator

- del operator

- delta operator

- demiclosed operator

- densely defined operator

- density operator

- derived operator

- descriptive operator

- deterministic operator

- diagonal operator

- diagonalizable operator

- differentiable operator

- differential-difference operator

- diffusion operator

- dilation operator

- dipole operator

- discrete operator

- displacement operator

- dissipative operator

- distributive operator

- divergent operator

- dominated operator

- dominating operator

- double differential operator

- dualizable operator

- duty operator

- dyadic operator

- dynamical operator

- elementary operator

- elliptic operator

- embedding operator

- enumeration operator

- equality operator

- ergodic operator

- essentially self-adjoint operator

- estimation operator

- evolution operator

- existence operator

- expansion operator

- expectation operator

- exponential operator

- exponential smoothing operator

- exponentiation operator

- extended operator

- extension operator

- face operator

- factorable operator

- factorized operator

- field operator

- finite rank operator

- finite-difference operator

- finite-dimensional operator

- formal operator

- formally adjoint operator

- forward-difference operator

- forward-shift operator

- fully invertible operator

- functional operator

- functionality operator

- gage operator

- gage-independent operator

- gage-invariant operator

- general operator

- generalized operator

- generating operator

- gentle operator

- global operator

- gradient operator

- hemicontinuous operator

- heuristic operator

- homogeneous operator

- homotopy operator

- hyperbolic operator

- hypermaximal operator

- hypoelliptic operator

- hyponormal operator

- idempotent operator

- identity operator

- indefinite operator

- index of operator

- induced operator

- infinitesimal operator

- information operator

- integrable operator

- integral operator

- integration operator

- integro-differential operator

- interaction operator

- interchange operator

- interior operator

- interpolation operator

- intersection operator

- intertwining operator

- inverse operator

- invertible operator

- irreducible operator

- irregular operator

- isometric operator

- isotone operator

- iterated operator

- kernel operator

- key operator

- labeled operator

- ladder operator

- lambda operator

- left inverse operator

- left-decomposable operator

- left-invariant differential operator

- logarithmic operator

- logical operator

- mapping operator

- mathematical operator

- matrix operator

- mean operator

- mean value operator

- microlocal operator

- minimal operator

- minus operator

- mixing operator

- modal operator

- moment-generating operator

- monadic operator

- monotone operator

- moving average operator

- multilinear operator

- multiplication operator

- multiplicative operator

- multivalued operator

- nabla operator

- natural operator

- negative definite operator

- network operator

- nilpotent operator

- nonbounded operator

- nondifferentiable operator

- noninvertible operator

- nonlinear operator

- nonnegative definite operator

- nonnegative operator

- nonpositive operator

- nonreducible operator

- nonself-adjoint operator

- nonsingular operator

- nonzero operator

- normable operator

- normalizable operator

- normally observable operator

- normaloid operator

- nuclear operator

- null operator

- numerical operator

- one-cellular operator

- one-dimensional operator

- one-place operator

- operator of differentiation

- operator of extension

- operator of integration

- operator of restriction

- operator of summation

- operator of weak derivation

- orbital operator

- ordered operator

- orthogonal operator

- oscillation operator

- parabolic operator

- parastochastic operator

- partial differential operator

- partition operator

- passive operator

- permutable operator

- perturbation operator

- perturbed operator

- perturbing operator

- plus operator

- polynomial operator

- polynomially compact operator

- potential operator

- precanonic operator

- precedence operator

- prediction operator

- prefix operator

- prespectral operator

- primed operator

- principally normal operator

- probabilistic operator

- projection operator

- projective operator

- prolongation operator

- proper operator

- properly elliptic operator

- propositional operator

- pseudodegeneracy operator

- pseudodifferential operator

- pseudoelliptic operator

- pseudoinverse operator

- pseudoproper operator

- pseudovector operator

- quadratic operator

- quadrilinear operator

- quasiaccretive operator

- quasicompact operator

- quasihomogeneous operator

- quasilinear operator

- quasilocal operator

- quasinilpotent operator

- quasinormal operator

- quasipotential operator

- quasirecursive operator

- quasitriangular operator

- radical operator

- radonifying operator

- raising operator

- random operator

- rational operator

- real operator

- reciprocal operator

- rectangular operator

- reduced operator

- regularizable operator

- regularized operator

- regularizing operator

- relational operator

- relatively compact operator

- relaxation operator

- renormalized operator

- representation operator

- residual operator

- residue operator

- resolvent operator

- resolving operator

- restriction operator

- retarded operator

- reversible operator

- right inverse operator

- right operator

- right-invariant differential operator

- risk operator

- rotation operator

- scalar operator

- scattering operator

- secondary boundary operator

- sectorial operator

- selection operator

- semibounded operator

- semicompact operator

- semigroup operator

- semisimple operator

- semiunitary operator

- separable operator

- sequential operator

- shape operator

- sigma operator

- similar operator

- simplicial operator

- single-valued operator

- singularly continuous operator

- skew-symmetric operator

- slightly nonself-adjount operator

- smoothed operator

- smoothing operator

- solution operator

- spectraloid operator

- spin operator

- splitting operator

- stable operator

- star operator

- statistical operator

- subelliptic operator

- sublinear operator

- subnormal operator

- subscalar operator

- summing operator

- superposition operator

- surjective operator

- sweeping operator

- symbolic operator

- symmetrizable operator

- symmetrized operator

- symmetry operator

- symplectic operator

- tangential operator

- tensor operator

- term operator

- test operator

- thinning operator

- three-place operator

- tilting operator

- time-dependent operator

- time-ordered operator

- times operator

- torsion operator

- total differentiation operator

- trace operator

- transfer operator

- transformable operator

- transformation operator

- transgressive operator

- transition operator

- translation invariant operator

- translation operator

- transposed operator

- transposition operator

- transversal operator

- triangle operator

- truncated operator

- truncation operator

- truth operator

- Tryon's delay operator

- twisting operator

- two-place operator

- ultrahyperbolic operator

- unary operator

- unbounded operator

- unicellular operator

- uniformly parabolic operator

- unit operator

- unit shift operator

- universal operator

- unperturbed operator

- variational operator

- watch-standing operator

- wave operator

- weakly compact operator

- weight operator

- well-bounded operator

SUBJECT AREA: Horology

[br]

[br]

[br]

Burgi entered the service of Duke William IV of Hesse in 1579 as Court Clockmaker, although he also assisted William with his astronomical observations. In 1584 he invented the cross-beat escapement which increased the accuracy of spring-driven clocks by two orders of magnitude. During the last years of the century he also worked on the development of geometrical and astronomical instruments for the Royal Observatory at Kassel.

On the death of Duke Wilhelm in 1603, and with news of his skills having reached the Holy Roman Emperor Rudolph II, in 1604 he went to Prague to become Imperial Watchmaker and to assist in the creation of a centre of scientific activity, subsequently becoming Assistant to the German astronomer, Johannes Kepler. No doubt this association led to an interest in mathematics and he made significant contributions to the concept of decimal fractions and the use of exponential notation, i.e. the use of a raised number to indicate powers of another number. It is likely that he was developing the idea of logarithms at the same time (or possibly even before) Napier, for in 1620 he made his greatest contribution to mathematics, science and, eventually, engineering, namely the publication of tables of anti-logarithms.

At Prague he continued the series of accurate clocks and instruments for astronomical measurements that he had begun to produce at Kassel. At that period clocks were very poor timekeepers since the controller, the foliot or balance, had no natural period of oscillation and was consequently dependent on the driving force. Although the force of the driving weight was constant, irregularities occurred during the transmission of the power through the train as a result of the poor shape and quality of the gearing. Burgi attempted to overcome this directly by superb craftsmanship and indirectly by using a remontoire. This device was wound at regular intervals by the main driving force and fed the power directly to the escape wheel, which impulsed the foliot. He also introduced the crossbeat escapement (a variation on the verge), which consisted of two coupled foliots that swung in opposition to each other. According to contemporary evidence his clocks produced a remarkable improvement in timekeeping, being accurate to within a minute a day. This improvement was probably a result of the use of a remontoire and the high quality of the workmanship rather than a result of the cross-beat escapement, which did not have a natural period of oscillation.

Burgi or Prague clocks, as they were known, were produced by very few other makers and were supplanted shortly afterwards by the intro-duction of the pendulum clock. Burgi also produced superb clockwork-driven celestial globes.

[br]

See also: Briggs, Henry

KF / DV

1) фактор