How To Use Orthogonal In A Sentence
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In theory, PLS is applied in situations of multicollinearity, but the MBH network has many series that are essentially white noise and thus the proxies are surprisingly close to being orthogonal in the early networks and there are blocks of orthogonal series in the later network.
More on Bürger et al 2006 « Climate Audit
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The NMI matrix was partitioned into orthogonal patterns of amino acid variability by factor analysis.
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A test of the hypothesis that ß 1 = 1 can be constructed from the orthogonal regression estimate and standard error for 1.
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In this paper, we describe the conception of orthicon, orthogonal function set and completion of orthogonal function set conception and compared to them.
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The weave of backing fabric, the needle-punching depth and weft count of the paper making felt are chosen as the factors in the orthogonal test. Then the tensility of the paper making felts is tested.
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Application of standard form of real symmetric matrix under the orthogonal similarity transformation in matrix problems is given by examples.
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Indeed, for AH and BC to be orthogonal, the ratio (H - A) / (B - C) must be purely imaginary.
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There are many structural units on maps, such as dendriform drainage and orthogonal streets.
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Other isolated instances of orthogonal polynomials occurring in the work of various mathematicians is mentioned later.
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In order to reach a higher productivity level of mycelium and exopolysaccharide, L934 orthogonal experiments on fermentation with Schizophyllum commune were carried out in 7L fermentor .
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Orthogonality of system architecture can be reduced by performing one - to - one functional mapping.
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Orthogonal contrasts were used to test linear, quadratic, cubic, and quartic effects of proportions of SFGS in diet substrates on rate of fermentation.
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Polarization images probe linear birefringence and can only achieve contrast by having orthogonal polarizers for excitation and collection.
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In the context of an inverse regression, you have to think long and hard about whether a procedure for regression of effect upon causes (tree ring ~ temperature + precipitation) where you want orthogonality can be transmogrified into an inverse regression of cause upon effect in the style of dendroclimatologists ( temperature ~ bristlecones+ Gasp + …), where you actually want multicollinearity (i.e. a signal).
More on "Naturally Orthogonal" « Climate Audit
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Partial transmit sequences(PTS) is a method with high complexity to reduce the Peak-to-average power ratio(PAPR) of orthogonal frequency division multiplexing(OFDM) system.
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Lanczos was much influenced by Fejér; he learnt from him about Fourier series, orthogonal polynomials, and interpolation.
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As I understand it, decoherence occurs when the wave functions of two possible states of a system become sufficiently different (that is, sufficiently nearly orthogonal, right?) that no interference effects between the two states are observable.
Quantum Hyperion
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Alternatively an involute can be thought of as any curve orthogonal to all the tangents to a given curve.
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The presence of a dicentric chromosome was confirmed by Southern blot analysis of orthogonal field alternating gel electrophoresis gels.
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By orthogonal experimental method to determine the best amount of each component.
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There are results on the curve of quickest descent, results on the catenary (in particular relating this problems to that of placing spheres in an arch), and results on orthogonal trajectories.
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Balanced multiwavelet transform needs no prefiltering, so its orthogonality and symmetry can be preserved.
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The premise structure of fuzzy model is confirmed by the improved fuzzy clustering, and fuzzy relation matrix of fuzzy model is confirmed by orthogonal least square.
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This study optimized the conditions of yielding ester for ethyl caproate producing starter by orthogonal experiments.
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The invention of the Broadbent-Bolton cephalometer in 1925 made possible the collection of three-dimensional data from biorthogonal plain film head radiographs.
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Least square means yield values of the dependent variable for every level of each factor from an orthogonal decomposition of the information.
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This factor analysis was based on the combined normative samples using principal factoring with iteration plus orthogonal rotation.
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By analyzing the disadvantage of the traditional NC engraving machine based on orthogonal coordinates and the kinematics characteristic of industry robot, a robot with five knuckle arms is designed.
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Now the covariance matrix can be written as where T is the transpose, U is an orthogonal matrix (, I is an identity matrix), D is a diagonal matrix matrix of eigenvalues (nonnegative numbers).
Reconciling Zorita « Climate Audit
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The segmented magnetization curve fitting provides to the orthogonal controllable reactor's harmonic analysis reasonably and precisely.
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Audio information hiding algorithm based on spread spectrum is generally detected by correlation threshold but the orthogonal of pseudorandom sequence is always destroyed by perception reshaping.
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This paper studied the different additives and determined a optimal recipe of the suitable additive, based on the results derived from orthogonal test and statistical data analysis.
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Through orthogonal optimized proportion and suitable accelerated burning test, experiment has successfully produced high strength and performance fly ash lightweight aggregate.
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To the left, an orthogonal void cut like a proscenium or picture frame is clearly a signal of something important deep in the interior.
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Instead of orthogonal geometry, tour guides proudly note that hardly a right-angle is to be found in the extension.
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Bouquet worked on differential geometry, writing on orthogonal surfaces.
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The male member has at least three facets evenly distributed about its axis and each facet is generally cylindrical with generatrices orthogonal to the axis and on respective opposite sides of a common transverse plane.
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The best processing condition was confirmed by single factor analysis of different agent and orthogonal experiment.
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Within the next three years Stone published 10 more papers on various aspects of the theory of orthogonal expansions, especially expansions in terms of eigenfunctions of linear differential equations.
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Symbol timing and frequency offset will significantly degrade the performance of OFDM ( Orthogonal Frequency Multiplexing ) receiver.
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How did you like it when -- bossing them around about how to set up a building -- she said something was "askew," and, when told not to use "big words," she said it was "not orthogonal"?
Archive 2007-02-01
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A plurality of such lines are aligned in a second direction, which is orthogonal to the first direction, to form a display screen.
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Continuing his work as a Ph.D. student, Markus Greiner used the unobscured optical access to load the Bose-Einstein condensate into a three-dimensional optical dipole force lattice potential formed at the intersection of three orthogonal far-detuned standing wave laser fields.
Theodor W. Hänsch - Autobiography
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A polarization converter polarizes an incident light beam having a first component with a first plane of polarization and a second component with a second plane of polarization orthogonal to the first plane.
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Proteins and peptides would be more accurately defined in high-dimensional space by orthogonal axes representing truly independent characters.
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The incombustibility of the military rigid polyurethane (PU) foam materials was studied. The optimum formula of compound flame retardant was determined by screening and orthogonal test.
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A second set of environmental factors were orthogonal and uncorrelated to this first gradient.
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These ‘Givens rotations’ are a natural perturbation because they preserve the orthogonality of the principal components.
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In DB97-13 the orthogonality of the partial great circle girdle with respect to the lineation supports the above interpretation of the apparent symmetry in the c-axis pattern.
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Any collection of N mutually orthogonal vectors of length 1 in an N-dimensional vector space constitutes an orthonormal basis for that space.
Quantum Mechanics
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Second, geodesics are circular arcs orthogonal to the unit circle.
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The article gives a result of the orthogonal sub - diagonalization of skew - symmetric transformation, and proves this discussion.
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Mango chosen as material, orthogonal experimental method is used to make fermented alcohol.
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In signal processing land, we simply take high and lowpass pairs, ala dyadic wavelets or quadrature mirror filters, to create orthogonal frequency banks.
Splicing in Rutherford et al 2005 « Climate Audit
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Because the axes of the color measures are orthogonal, the three scores can be summed to yield a total composite color score.
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Because of the orthogonal reconstructing method, the quality of reconstructed image can be greatly improved and the progressive image transmission also becomes possible compared to JPEG algorithm.
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From these beginnings he moved to prove a number of limit theorems, now known as the Szegö limit theorem, the strong Szegö limit theorem and Szegö's orthogonal polynomials and on the unit circle.
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Examples are given which illustrate how Ibrahim applied an orthogonal compression to transform a circle into an ellipse, and an oblique compression to map a hyperbola into a second hyperbola.
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In this paper, a new transmit beamforming scheme with limited feedback is presented in Multiple-Input Single-Output Orthogonal Frequency Division Multiplexing(MISO-OFDM) systems.
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The regimented orthogonality of the exterior extends to the perimeter offices, which are edged by a series of arcades lined with redoak veneer.
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The govern equations, the separation and numerical solution of the govern equation in the orthogonal curvilinear coordinates, the boundary condition and the movable boundary technique were given.
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We can exploit the fact that the columns of these matrices must be orthogonal to reduce the number of dimensions in which to search.
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Mercer was a mathematical analyst of originality and skill; he made noteworthy advances in the theory of integral equations, and especially in the theory of the expansion of arbitrary functions in series of orthogonal functions.
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His research concentrated on convergence, in particular convergence of series of orthogonal functions.
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The best processing condition was confirmed by single factor analysis of different agent and orthogonal experiment.
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Participants always sorted on proportion in Experiment 2, with orthogonal or one-dimensional stimulus sets.
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Disciplinary infractions were further summarized by entering the 18 remaining codes into a principal-components analysis using an orthogonal rotation.
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Taguchi first determines the control factors that go into designing a product, their interdependencies, then generates an orthogonal array specifying the number of experiments required to find the optimal solution.
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Construct an animation displaying all pairs of orthogonal tangents to a given parabola.
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Orthogonal experiment design was adopted method for extraction of flavonoid by ASE technology from orange peel.
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The two orthogonal nodal planes separating these quadrants represent the fault plane and an imaginary plane called the auxiliary plane.
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In addition to his work on potential theory and orthogonal set of functions he published a short paper on the problem of the maximum value a n of a positive integer belonging to a set of n positive integers whose reciprocals add to 1.
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The superior prescription of the putty is defined by orthogonal test, and its properties can be parallel to the counterpart in Japan except its worse sanding property.
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The rice is washed by diethyl ether before coating vegetable oil. The solvent, dosage of oil and dosage of sample were selected by orthogonal design.
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Construct rotating cardioid and astroid while remaining orthogonal to each other.
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Moreover, the designed orthogonal wavelet bases show that minimizing the l1 norm of the approximate error should be advocated for obtaining better approximated Hilbert pairs.
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Mathematically speaking, alternate universes are orthogonal; they're located at right angles to each other.
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Most puzzle designs also require that all white cells be orthogonally contiguous (that is, connected in one mass through shared sides, to form a single polyomino).
KDE UserBase - Recent changes [en]
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The assertion of a 1% reduction in mortality is not necessarily orthogonal to a 41-91% reduction in hospitalizations.
Consider the Source II
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His doctoral thesis studied orthogonal systems of functions.
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In resolving the differences between the orthogonal basic plan and the circular forms of the domes, perimeter walls become serrated in plan.
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Massive compartments are delineated by fractures of the regional orthogonal system, though rhomboidal patterns are also common.
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Second, geodesics are circular arcs orthogonal to the unit circle.
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We take as given that the desired curve C is the unique Euclidean circle that is orthogonal to every geodesic through A.
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First of all, Fake-Latin Name Person, the terms argumentum ad hominem and insult are orthogonal to each other.
Pharyngula
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The superior prescription of the putty is defined by orthogonal test, and its properties can be parallel to the counterpart in Japan except its worse sanding property.
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In the 1950s, doubly curved crystal fabrication progressed to include crystals featuring different surface curvatures along orthogonal axes parallel to the surface.
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The modeling and analysis of orthogonal variable spreading factor (OVSF) codes assignment in wideband code division multiple access (WCDMA) cellular communication systems are presented.
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As a result, in populations where the two alleles at each locus are not at equal frequency, many of the genetic effects that are orthogonal in our study population are not statistically independent.
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Two synchronized video cameras record orthogonal planar views of the fins at 250 images per second.
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Although they are very different languages, FORTH has a very similar philosophy to LISP; both emphasise maximal expressiveness in a minimal set of orthogonal primitives, helped extensively by helpings of metaprogramming, low-cost abstraction, and no inherent separation between 'inbuilt' and 'user' facilities of the language.
Snell-Pym » FORTH
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Other methods, such as the use of orthogonal functions, may be used for creation of a surface as well.
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That will “orthogonalize” our test scores, and give you a series of “principle components” or “principle factors” that do not correlate with each other.
Archive 2007-01-01
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Gram is best remembered for the Gram-Schmidt orthogonalisation process which constructs an orthogonal set from an independent one.
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A concept orthogonal to fault domains is what we call upgrade domains.
Site Home
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Rotations and reflections are rigid transformations (given by orthogonal mappings) and clearly transform the centroid in the asserted fashion.
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With an arrangement of three orthogonal and three octahedral transducers, the complete stress state in a soil can be registered and principle stresses, normal and shear stresses and stress invariants can be calculated.
Soil compaction
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He studied the problem of orthogonal trajectories, making important contributions by the construction of orthogonal trajectories to families of curves.
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Slide 30: COMPUTER DOS I METRY Possible to preplan implants & complete isodose distribution corresponding to final source distribution Rapid & fast; helps modify implant Isodose patterns can be magnified & superimposed on implant radiograph Localization of sources: Orthogonal Imaging method Stereo-shift method CT
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Sweet calabash pickle was fermented by using Direct Vat Set starter. The optimal fermentation conditions were obtained through single factors and orthogonal experiments.
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This is a consequence of the independent assortment of chromosomes, which results in approximate orthogonality between unlinked locations in the genome.
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But position states are not orthogonal to momentum states.
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Proposed changes visible to users leverage grape system even for Groovy's GDK (may involve "bundled grapes") enhance GroovyStarter/LoaderConfiguration to support -- grab on commandline and grab in conf file (see also GROOVY-3215 conf file in Groovy) (slightly orthogonal but related change) enhance AST transform support to allow scripts to grab without need for a class or method definition, e.g. "@grab (...)
Dashboard RSS Feed
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The first scene set in the interior of the shop uses the tiled floor and roof beams to establish orthogonals and transversals.
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The inclinometers are 2-way sensors which record rotations with the vertical direction in two orthogonal vertical planes.
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Single factor and orthogonal array test were conducted to deal with the effects of tenderizer formula and processing parameters on the tenderization of pork slices.
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Tellegen's theorem in various forms is derived by the orthogonality relation between the current subspace and voltage subspace.
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Hermite made important contributions to number theory and algebra, orthogonal polynomials, and elliptic functions.
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The design of the high speed digital orthogonal transformer which architecture based on the digital channelization in frequency domain is introduced in this paper.
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Our economy depends on two orthogonal strands to make a whole cloth.
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wind and sea may displace the ship's center of gravity along three orthogonal axes
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When Darboux proved the orthogonality of systems of homofocal ovals, he also showed that ovals provide a geometrical interpretation of the addition theorem and that they constitute the algebraic form of the integral solution.
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The govern equations, the separation and numerical solution of the govern equation in the orthogonal curvilinear coordinates, the boundary condition and the movable boundary technique were given.
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But in fact, the spaces are defined by walls inflected in both plan and section, so although the spaces seem right for Aasen's books and desk and chairs, they emphasize their nature, as a conventional orthogonal layout could not.
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This paper uses residue number and deviation number of orthogonal transformation together to demarcate th.
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No evidences of low-temperature phase transition were found for PbTiO3, while the tetragonal-orthogonal and orthorhombic -rhombohedral phase transitions were present for BaTiO3.
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In many cases sample coordinates are recorded on an orthogonal grid coordinate system.
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The present experiment set out to independently manipulate beliefs and covariation information in an orthogonal design.
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Then the locus of centers of all circles passing through A and orthogonal to C is a straight line.
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The assumption of orthogonality seems to present the fewest difficulties at present.
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By analyzing the disadvantage of the traditional NC engraving machine based on orthogonal coordinates and the kinematics characteristic of industry robot, a robot with five knuckle arms is designed.
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The optimal filter coefficients are derived using the principle of orthogonality of the innovation signal.
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The Lorentz transformation of orthogonal bases is derived by means of matrix Euclidean four dimension space.
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As we have noted above, other contributions by Steinhaus were on orthogonal series, probability theory, real functions and their applications.
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The construction consisted of orthogonals, transversals, horizon line and vanishing point.
