Sentence examples for transform arise from inspiring English sources

Note that the Bessel transform and the Riesz fractional integration transform arise in many scientific areas ranging from physical chemistry to extragalactic astronomy.

This Radon type transform arises in several contemporary applications, e.g. in thermoacoustic tomography and sonar and radar imaging.

It is demonstrated that the transform arises naturally in appropriate homogeneous situations where it is shown to agree with a certain representation theoretic intertwining operator due to Barchini, Knapp and Zierau.

The nonequispaced or nonuniform fast Fourier transform (NUFFT) arises in a variety of application areas, including imaging processing and the numerical solution of partial differential equations.

Note that the circle is the simplest non-trivial curve in the plane next to the straight line, and the representation of a function by its circular Radon transform also arises in applications.

Transform faults arise spontaneously, as do curiously rotating spirals of wax at intersections of the jagged faults.

Instead, spontaneously transformed cells arose from the heterozygotes at a low frequency, and the majority of these cells had amplified the mutant allele.

Pancreatic cancer is a malignant neoplasm originating from transformed cells arising in tissues forming the pancreas.

A completely transformed cell arises after several rate-limiting events (mutations) affecting a number of key genes (oncogenes and suppressor genes).

Third, gene expression analysis and hierarchical clustering show that a MINO and the transformed lesion arising within it are more closely related than any two MINO lines or any two transformed tumors [ 8, 9].

Pancreatic cancer is a malignant neoplasm originating from transformed cells arising in tissues forming the pancreas, and it is now the fourth most common cause of cancer-related deaths in the United States and the eighth worldwide [ 1].