Примеры использования Main diagonal на Английском языке и их переводы на Русский язык
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Occurs only on the main diagonal of the matrix.
The entries of a symmetric matrix are symmetric with respect to the main diagonal.
If all entries outside the main diagonal are zero, A is called a diagonal matrix.
A superdiagonal entry is one that is directly above and to the right of the main diagonal.
It is guaranteed that on the main diagonal there are- 1, and- 1 doesn't appear anywhere else in the matrix.
Row reduced matrix called matrix whose elements below main diagonal are equal to zero.
If all entries of A below the main diagonal are zero, A is called an upper triangular matrix.
A Supnick matrix is a square Monge array that is symmetric around the main diagonal.
In a tangential hexagon ABCDEF, the main diagonals AD, BE, and CF are concurrent according to Brianchon's theorem.
For example, S T A S{\displaystyle S^{T}AS} is equal to the matrix A shifted up and left along the main diagonal.
It is possible to show that the factors of a-matrix standing on the main diagonal are polynomials of even degree of p, and the others- polynomials of odd degree of p.
This representation is memory-intensive because the features in the square matrix are symmetrical(and thus redundant) about the main diagonal.
The city has the shape of a square with a central park and two main diagonal avenues, north to south and east to west.
Geometrically speaking, this theorem describes the asymptotic behavior of the cover time of the 3-dimensional simple random walk on the main diagonal 3.
Observe that for most elements, ending up in their original position(the matrix's main diagonal) has lowest probability, and moving one slot backwards has highest probability.
In linear algebra, the main diagonal(sometimes principal diagonal, primary diagonal, leading diagonal, or major diagonal) of a matrix A{\displaystyle A} is the collection of entries A i, j{\displaystyleA_{i, j}} where i j{\displaystyle i=j.
In particular, any degree 3 graph can be drawn so thatits edges are either axis-parallel or parallel to the main diagonals of the integer lattice.
When these diagonals are parallel to the main diagonal, the features they represent are parallel; when they are perpendicular, their features are antiparallel.
Answer key: for each grid write down the sums of sides of squares covering the cells on the main diagonal, going from bottom left to top right corner.
The composition is organized with three main diagonals: the angle of the boy's tilted back and head, the angle of the deep-green curtain behind the boy, and the long angle of the seat and table rising from the lower left.
Using these operations, any matrix can be transformed to a lower(or upper) triangular matrix, andfor such matrices the determinant equals the product of the entries on the main diagonal; this provides a method to calculate the determinant of any matrix.
Answer key: write down the contents of three main diagonals(starting from the one going from top left to bottom right, followed by the horizontal one and finishing with the one going from bottom left to top right), replacing empty cells with“-”.
Reasoning in this way, Minkowski showed that(assuming the truth of his conjecture) every critical lattice has a basis thatcan be expressed as a triangular matrix, with ones on its main diagonal and numbers less than one away from the diagonal. .
Alternatively, If A is an adjacency matrix for the graph, modified to have nonzero entries on its main diagonal, then the nonzero entries of Ak give the adjacency matrix of the kth power of the graph, from which it follows that constructing kth powers may be performed in an amount of time that is within a logarithmic factor of the time for matrix multiplication.
If G is the graph corresponding to the signed complete graph Σ, this matrix is called the(0, -1, 1)-adjacency matrix orSeidel adjacency matrix of G. The Seidel matrix has zero entries on the main diagonal, -1 entries for adjacent vertices and +1 entries for non-adjacent vertices.
Secondary structure features that involve residues that are contiguous in sequence appear on the matrix's main diagonal; other diagonals in the matrix reflect spatial contacts between residues that are not near each other in the sequence.
The main distinguishing feature of Tbilisi: red diagonal stripes on construction site fences.
It's strategically positioned main entrance on the corner of Avinguda Diagonal emphasise the building's self importance.
At its most basic, the grid system of streets,a central forum with city services, two main slightly wider boulevards, and the occasional diagonal street were characteristic of the very logical and orderly Roman design.
With free Wi-Fi throughout the building, this modern, affordable, 3-star hotel is located in central Barcelona, just 500 metres from Gaudí's magnificent Sagrada Família, andonly a stone's throw away from the famous Diagonal Avenue, one of the city's main thoroughfares.