affine In A Sentence
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- A sampled-data control system approach is presented to a class of affine nonlinear networked control systems described by a hybrid dynamic system model.
- In each affine coordinate domain the coordinate vector fields form a web.
- As nabla h = 0, every homothety is an affine and the set of all homotheties on M forms a Lie subalgebra of A ( M ) denoted by H ( M ) ( the "'homothetic algebra "') and satisfies for connected " M".
- One can check that any affine involution in fact has this form.
- In 1845, Otto Wilhelm Sonder published the name " Stylidium affine ".
- In this paper, we define real form of infinite rank affine Lie Algebra and we also give its some types of compact real form which is proved unique under automorphism.
- Examples include linear transformations and affine transformations, rotations, matrices.
- It is possible an affine transformation to be applied to glyph images when they are loaded.
- These observations allow one to formalize the definition of reflection: a reflection is an involutive isometry of an Euclidean space whose set of fixed points is an affine subspace of codimension 1.
- In the matching phrase normalized distance and Mahalanobis distance are used to identify the view class and build the affine matrix.
- Paracompact groups have affine or hyperbolic subgraphs, and infinite facets or vertex figures, and exist in 2 through 10 dimensions.
- In the affine plane, a line extends in two opposite directions.
- Affine frame is a very basic concept in wavelet theory.
- An improved image recognition and registration algorithm based on convex hull and affine invariant was presented.
- Affine scaling amounts to doing gradient descent steps within the feasible region, while rescaling the problem to make sure the steps move toward the optimum faster.
- The affine Lie algebra corresponding to a finite-dimensional semisimple Lie algebra is the direct sum of the affine Lie algebras corresponding to its simple summands.
- This description then tells us which properties are'affine '.
- Given a system of parametrized geodesics, one can specify a class of affine connections having those geodesics, but differing by their torsions.
- A new affine invariants based on affine geometry for object recognition and matching is proposed in the paper.
- So a parabola and ellipse are the " same " when thought of projectively, but different when regarded as affine objects.
- It selected corners as features, removed influence of image stretch, skew, rotation, and translation by calculating affine invariant, so matching accuracy and speed were improved.
- Line drawing of complex objects not only includes scenograph, affine graph, linear projective graph and nonlinear projective graph, but also freehand sketch and graphics drew from images.
- The Bolza surface is the smooth completion of the affine curve.
- Writing about planar affine mapping, Rafael Artzy made a similar trichotomy of planar, linear mapping in his book " Linear Geometry " ( 1965 ).
- It has been proved by experiments that this algorithm is high imperceptibility , high capacity, and robust to affine transformation and JPEG lossy compression.
- Based on the complex function theory, the stress field was achieved by affine transformation.
- In terms of algebraic geometry, the algebraic variety of rational points on the unit circle is birational to the affine line over the rational numbers.
- Sometimes other algebraic sites replace the category of affine schemes.
- The classification of irreducible real affine holonomies can be obtained from a careful analysis, using the lists above and the fact that real affine holonomies complexify to complex ones.
- Else most of the Korean affine would still be living within the current borders of China.
- The syntomic topology is generated by surjective syntomic morphisms of affine schemes.
- We obtain an estimation about the Hausdorff dimension of self - affine sets.
- Therefore, Einstein -Cartan gravitation theory can be formulated as the metric-affine one, without appealing to the metricity constraint.
- It is calculated by first calculating the inverse affine transformation of the input value, followed by the multiplicative inverse.
- In this note, we find that one can construct affine geometry AG(3, n)using planar mappings from a cyclic group N of order n to itself.
- In this paper, the author applies affine reduced operation to the model based secant method and gives a new method to look for the descent direction for solving unconstrained minimization problem.
- Second, we present and implement a data dependence analysis method for affine array subscript references by splitting the chain of recurrences.
- Affine hyperplanes are used to define decision boundaries in many machine learning algorithms such as linear-combination ( oblique ) decision trees, and perceptrons.
- The affine concept of parallelism forms an equivalence relation on lines.
- For defining a " polynomial function over the affine space ", one has to choose an affine coordinate system.
- "M . affine " is important as being a pioneer species that colonises disturbed extracted through pores on the anthers.
- Two different methods based on the plane similitude conversion and affine linear transformation are put forward, conversion accuracy is analyzed, finally useful results are obtained.
- An analogous pseudometric was constructed for flat affine and projective structures in and then generalized to ( normal ) projective connections.
- Affine geometrical model.
- Based on the fractal structure of strange attractor and self-affine property of time series, a method is proposed for predicting chaotic time series.
- My first question is, does this cover all affine operations?.
- NURBS curves and surfaces have the important properties of not changing under the standard geometric affine transformations ( Transforms ), or under perspective projections.
- Whether a U-scalar operator is a quasi-affine transform of a self-adjoint operator, similar to a spectral operator of scalar type, is an open question.
- Therefore, barycentric and affine coordinates are almost equivalent.
- This generator is not a cryptographically secure pseudorandom number generator for the same reason that the affine cipher is not secure.
- This paper concerns the ratio of centro - affine invarients for a projection body.
- Left-symmetric algebra (LSA) is a complex algebra system arising from the study of differential geometry, Lie groups, and affine manifolds.
- So, for a slightly different reason, an ellipse and parabola are inequivalent over the complex affine plane but remain equivalent over the ( complex ) projective plane.
- In any case, normed has a very precise sense in the breakthrough from affine geometry to metric geometry.
- Where cdot is the affine action of the Weyl group.
- The robust passivity synthesis problem is concerned for a class of affine nonlinear systems with bounded-norm uncertainties.
- Complete classification of affine spheres with constant cross section curvature in 4-dimensional affine space is given.
- The global Fourier transform can also be obtained by switching(up to sign) the multiplication by a coordinate of the affine line and the differential operator with respect to this coordinate.
- Affine varieties are almost never complete ( or projective ).
- In this paper, we prove that invertible dynamic feedback linearizability is equivalent to linearizability by adding integrators for up to 4 dimensional affine nonlinear systems.
- Honey bees reduce fruiting in " Melastoma affine ", a plant with pore anthers, by robbing its stigmas of previously deposited pollen.
- The robustly dissipative synthesis problem is discussed for a class of affine nonlinear uncertain systems with input-output feedthrough.
- The stress field is achieved by affine transformation through the complex function theory.
- Affine registration of brain images.
- Now, how much is this " like the affine case "?.
- The piecewise self - affine fractal model was explored for data coding and reconstruction of vibration signal.
- The complex stress function were derived by the affine transformation to describe accurately the stress field.
- The special affine group is a subgroup of the affine group.
- Such transformations form a subgroup called the " equi-affine group".
- Chinese character formation module used a code check algorithm to check the input code, divided the prototypes and structures, and applied affine transformation to form Chinese character.
- On any manifold of positive dimension there are infinitely many affine connections.
- Four natures about projection of a group of conjugate radiuses of the ellipse and ellipsoid on other group are proved by the principles of affine transformation.
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