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词汇 example_english_diagonal
释义

Examples of diagonal


These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
Each contains three non-zero diagonals in block structure as shown in figure 17.
Similarly, the number of points can be further increased by successively considering diagonals of different parallelograms as the reference line.
They are placed over the model diagonals to exploit frequent symmetries in the objects used as landmarks.
By scaling the diagonals of rectangles to a common length ab, the locus of vertices of the rectangles is obtained as a circle of diameter ab.
Then it is one of the attractive features of the cell-vertex method in two dimensions that only the components of the quadrilateral diagonals appear in the residual.
To see this, note that (absent ties) the only way to have multiple equilibria is to have two equilibrium outcomes along one of the diagonals of the matrix.
The thick diagonal line separates the traditional orientations ofprocessual archaeology (left) from those of post-processual archaeology (right).
Obviously, matrix is not diagonal in general but it is often assumed to be diagonal in practice and takes damping ratios as its diagonal components.
Therefore, the sum of the diagonals is equal to the perimeter of the quadrilateral formed.
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The pentagram map takes a given polygon, finds the intersections of the shortest diagonals of the polygon, and constructs a new polygon from these intersections.
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The infill between the top and bottom rails and the vertical supports is a series of interlocking diagonals, although rectilinear designs exist as well.
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Find the centers of mass of these two rectangles by drawing the diagonals.
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As with the 208 field, cone contrasts calculated with respect to the perceived background appear closer to the diagonal.
A so-called crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals.
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One can distinguish between diagonals in the boundary, which belong to every cluster, and diagonals in the interior.
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Examples of broken diagonals from the below square are as follows: 3,12,14,5; 10,1,7,16; 10,13,7,4; 15,8,2,9; 15,12,2,5; and 6,13,11,4.
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There exists a simple geometrical relationship between the lengths of the two diagonals of the quadrilateral.
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His collagist plans with rotated grids, diagonals and eclectic sensibilities, quickly established him as a pioneer.
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However, because of the sharp corners, the stick can get stuck in the diagonals if the player is unaccustomed to using a square gate.
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In this case the center of the circle coincides with the point of intersection of the diagonals.
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As indicated at the end of 6.3, the physical meaning of the off-diagonal vertical components will be clarified in 8 below.
The regular convecting pattern of axial and radial velocity signals is shown by the diagonal 'bands' in the contour plots.
The perimeter of the parallelogram equals the sum of the diagonals of the original quadrilateral.
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Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals.
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In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite.
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The building stands at the western end of a block-size plaza with extensive landscaping arranged in a dense pattern criss-crossed by diagonals.
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The 8-square is the largest found with all diagonals: 9-squares exist with some diagonals.
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They are connected by verticals and diagonals of consisting of two angles and spacers each; the verticals further have two channels with lacing.
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Her most typical work favours strong outlines and sweeping diagonals, often with stern, unsmiling faces.
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The interior diagonals are under tension, and the vertical elements are under compression.
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The two lower segments of the two diagonals are two sides in a triangle; the base of the quadrilateral is the base of the triangle.
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The diagonals and verticals are connected to the upper and lower chords by means of cast-iron bearing blocks.
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The chords are normally kept aligned and held in place by vertical posts, diagonals, and sideways sway struts.
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The quadrilaterals of this type include the square with unit-length diagonals, which has area 1/2.
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Let hi be the i-th element of the diagonal of a regression's projection matrix.
Now we construct using a variation of the diagonal process.
The diagonals and lower chord have rectangular eyebars 4to6 in wide.
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A window grill of the building is marked with a fine design of intersecting circles and diagonals.
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The results showed that the fluctuations of diagonal matrix elements are two orders of magnitude larger than the largest fluctuations of the off-diagonal elements.
The matrix of the problem is a 2mn x k 2mn (6m - 1)-diagonal matrix.
At a given scale r, substantial isotropizing is expected if rr(r)\\r#, where rr is the diagonal component in the direction of sweep.
The difference between the diagonal components is larger in magnitude than the off-diagonal components, implying that the natural modes are nearly linearly polarized.
Thus, we can always choose 1 (0) = 0, 2 (0) = 0, and as a diagonal matrix whose diagonal entries are arbitrarily close to zero.
In the case in which the dominant diagonal property does not hold, similar inequalities follow for each column and each row.
To relate the sign of diagonal elements to the sign of the real parts of eigenvalues, we introduce the following dominant diagonal properties of matrices.
All operations are organised in relation to this base: in particular, they can be represented by linear functions whose matrices are diagonal in this base.
In that case, the simplest option is to take the canonical viewpoint, that is, the one consisting of diagonal matrices.
We show something more : a morphism is in if and only if it has a diagonal-fill property.
The associated functor is monotonic and right adjoint to the diagonal.
Both repor ts identify a diagonal trajectory, but they can be clearly distinguished by the main direction of the diagonal.
In addition, the largest values of the energy density are close to the diagonal.
On independence the colors were rearranged to form the national flag, in diagonals emanating from the upper hoist.
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In the two shown, the structural pattern and their space distributions are almost exactly mirrored along a diagonal axis.
Diagonal symmetry is investigated as a compositional principle between schemes.
An equivalent condition is that the diagonals bisect each other and are equal in length.
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Equivalent conditions are that opposite sides are of equal length; that opposite angles are equal; or that the diagonals bisect each other.
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In this way, the tetrahedra all share one of the main diagonals of the cube.
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The remaining area of the array is a wide diagonal where language choice alternates from informant to informant and from context to context.
The figure contains two types of squares, one type involving a black-to-gray gradient, and the other a white-to-gray gradient, in different diagonal orientations.
Causeways are indicated by the diagonal lines that cross the regularized blocks; major termini are labeled with their respective names.
The diagonal entries of the confusion matrix represent the correctly classified cases.
Moreover, once understood the differences between diagonal and orthogonal interactions can be exploited to simulate thresholds and clustering characteristic of the systems being modelled.
The diagonal distribution of the solutions also indicates a linear relationship at least between the two variables of the hyperplane.
Fully off-diagonal submatrices of diagonally dominant matrices are completely unstructured matrices, and so with irreducible determinants of unbounded degree.
In the present work we give another construction for low-rank co-diagonal matrices, based on a modular sieve formula.
Collections were performed following diagonal transects across both fields.
In diagonal households, heads coresided with their uncles, cousins, or both.
We shall consider the diagonal case, where all radii are the same.
Note that in higher dimensions most of the winning lines are some kind of diagonal.
At this stage the lattice was a regular flat grid of thin members arranged in a diagonal pattern.
Several of the houses he illustrated make use of the diagonal axis.
One overall iteration of the design geometry resulted from the need to create diagonal symmetry.
In terms of the prisoner's dilemma game, this blocks the off-diagonal elements.
Relations below the diagonal are for preintervention measures; relations above the diagonal are for end of year measures.
The matrix of diffusion coefficients is taken diagonal and constant to isolate the anomaly effects, with d being the ratio of the diffusion coefficients.
If fn is very close to the diagonal, these precritical points cluster together near the funnel.
Gaussian elimination was employed to eliminate the block elements below the diagonal.
Go left to right through the square counting and filling in on the diagonals only.
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The numbers on the diagonal are polygenic and residual variances.
Computing the diagonal elements and inverse of a large numerator relationship matrix.
We only need that the return maps at periodic orbits are diagonal on the stable and unstable manifolds.
If its diagonal line intersects a vertical line, such a point of intersection will necessarily be a bottom.
The discontinuity follows a diagonal across the area.
The club wore blue shirts with two white diagonals stripes.
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Two diagonals start from the short sides and converge on the focus of the composition, the square, defined by four sides.
When repetitive elements existed within the sequence, shorter lateral diagonals appear in addition to the central one.
If the diagonals ran parallel, the proportions must be the same. 11.
In the former case the two diagonals cross, and in the latter case one vertex lies in the triangle spanned by the other three.
To study the plant cover the line-intercept method was used following the two diagonals of each square.
Genetic and environmental correlations are below the diagonals.
The diagonals of both matrices were set to zero.
The tetrahedron is contained within the diagonals of its six faces.
If the spans are proportioned in this way, they do not form a rightangled triangle, and therefore cannot form edges and diagonals of a rectangle.
All plant species intercepting or touching the tape previously set in the two diagonals were noted.
The distance between the black diamonds seems longer than their diagonals.
The gradients of the diagonals are - = 4 =3 and 02 = =-3.
Movement along the diagonals represents this transition, but the first row makes no contribution, since there are no infected individuals represented in that row.
Through these planes the bodies of the fish, fragmented and dislocated, can be traced in a series of subsidiary diagonals.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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