Translation of "Elementweise" in English

Returns the elementwise sum of a matrix.

When executing the statement it will be parsed into a SQL statement by elements.

Test, whether a tuple is elementwise greater or equal to another tuple.

The interpolated y-coordinates are multiplied element wise (ymult = Y1 * Y2).

Test, whether two tuples are elementwise equal.

Test, whether a tuple is elementwise less or equal to another tuple.

They can be used element by element or across several elements.

Returns the elementwise minimum of a matrix.

Test, whether a tuple is elementwise less than another tuple.

Test, whether a tuple is elementwise greater than another tuple.

Test, whether two tuples are elementwise not equal.

So we can now replace formula_111 by:formula_180,and so the vector formula_65 by each element.

Why are elementwise additions much faster in separate loops than in a combined loop?

The prefabricated parts of the steel building itself were delivered by sea and installed element by element.

Cases where objective and constraints cannot be evaluated separately, or where constraints can be evaluated element-wise can be exploited by WORHP to increase the computational efficiency.

The domains, formed in elements and comprising electrostatic, that is capacitative, or electromagnetic, that is inductive patterns, can then be used to permit a suitable ink, such as a ferro-fluid or an electrostatically charged ink or toner to adhere directly on the semiconductor layer or on a thin protective layer which covers the semiconductor layer.

Advantageously it may be provided in that respect that, in order to determine the relative steepnesses of the correlation maxima of the correlation matrix, they are subjected to Fourier transformation in logarithmic and two-dimensional mode whereupon the resulting two-dimensional spectrum is preferably multiplied by an O-phase filter in an element-wise manner by the spacing of the respective pair of Fourier variables from the origin of the Fourier plane and then that new spectrum is subjected to a Fourier back-transformation operation, wherein the amplitude maxima of the resulting matrix are a direct measurement in respect of the relative steepness of the correlation maxima of the correlation matrix.

The complex reference matrix stored in the intermediate storage means 16 is now multiplied in conjugated complex element-wise manner in the multiplication stage 21 by the complex article matrix stored in the intermediate storage means 4 and 5 and the complex product obtained in that way is stored in the intermediate storage means 22.

The method according to claim 9 wherein to establish the position or positions of an image content or portion, in the original image plane, which content or portion is ascertained in the Fourier plane with a given degree of probability of identity with a rotary-extended reference pattern, the complex reference matrix which is subjected to inverse rotary extension with the ascertained values in respect of twist angle and enlargement factor is multiplied in conjugated complex and element-wise mode with the complex image matris in the Fourier range to generate a complex product matrix whereupon the complex product matrix is subjected to a two-dimensional Fourier reverse transformation operation and that finally said at least one maximum of the correlation matrix as a result of that correlation operation are detected and co-ordinate values which are associated with said at least one maximum are ascertained for the position or positions of the located image content or portion in the original image.

That is effected in that, in order to ascertain the position or positions of an image content or portion in the original image plane, which is recognised in the Fourier plane with a certain degree of probability of identity with a rotary-extension reference pattern, the complex reference matrix which is subjected to inverse rotary extension with the ascertained values in respect of twist angle and magnification factor is multiplied in a conjugated complex and element-wise manner by the complex image matrix in the Fourier range whereupon the complex product matrix is subjected to a two-dimensional Fourier back-transformation operation, and finally the maximum (or maxima) of the identity probability matrix obtained as a result of that correlation operation is or are detected and the coordinate value associated with said maximum (or maxima) are ascertained for the position or positions of the recognised image content or portion in the original image.

An additional development consists in ensuring the stability of the method at low frequencies by carrying out the global multipole expansions by elements instead of using basis functions.

The method as claimed in claim 1 wherein the referenced element is an element of at least one of a product data type and a concatenated data structure, and that, in the conversion process, the referenced element is copied and converted by at least one of field by field and element by element.

According to a particularly simple embodiment, successive data elements can be encrypted successively and element-by-element with key elements of a specified string of key elements.

In a following step F 18, a back projection value m is calculated for each back-projection beam B such that a product of the rotated filter function F?(B) and the associated projection data g is formed and the product is summed, element by element.

An element squaring unit 66 generates the element-by-element square of the signal vectors {overscore (u)} (t), and an element summing unit 68 serves for summing up the squared elements.