Mathematically, two figures are similar if theircorresponding anglesare congruent (congruent angles have the same measure) and the ratios of the lengths of their corresponding sides are equal. We call this common ratio a scale factor. The symbol ∼ is used to indicate similarity. What are simil...
symbol manipulation/ partial differential equationsDESOLV packagereduction routinescomputer algebraMaplesimilarity solutions/ C7310 Mathematics computing C4170 Differential equations (numerical analysis)We present and describe new reduction routines included in DESOLV which, in many cases, may allow the ...
in SSIM (i.e.similarity) values, using a fixed set of visual stimuli should exert measurable effects on discrimination learning. To assess this, we compared data from mice trained with equiprobable CS−stimuli, linearly sorted into increasing (SSIMinc,wide) or decreasing (SSIMdec,wide) SSIM ...
The inability to accurately, efficiently label large, open-access medical imaging datasets limits the widespread implementation of artificial intelligence models in healthcare. There have been few attempts, however, to automate the annotation of such public databases; one approach, for example, focused ...
Given a fixed set X, then a hesitant fuzzy set (HFS) on X is in terms of a function that when applied to X returns a subset of [0, 1]. For conveniences, the HFS is often expressed simply by mathematical symbol in [20], [21]. E=(<x,hE(x)>|x∈X)where hE(x) is a set ...
In general binding site lengths and strand orientations at the DNA heteroduplex may be different. Two TFBS models can be aligned by PWM shifting and possible reverse complement transformation. It is intuitively consistent that, if a longer model is compared with a shorter model, any symbol may...
return Math.Abs(hashValue); } private static Dictionary<T, bool[]> BuildBitMap<T>(HashSet<T> set1, HashSet<T> set2) { Dictionary<T, bool[]> bitArray = new Dictionary<T, bool[]>(); foreach (T item in set1) { bitArray.Add(item, new bool[2] { true, false }); ...
Since a GCF report contains several clone fragments found between two filesxandy, the similarity ofxtoycan be calculated as the ratio of the size of clone fragment betweenxandyfound inx(overlaps are handled), i.e.\(\mathit {frag}_{i}^{x}(x,y)\), to the size ofxand vice versa. ...
In Section 4, all periodic orbits with period p⩽8 in the Lorenz system are shown. In addition, the period number, period length, and the symbol sequence of each periodic orbit are listed. The results of this paper are summarized in Section 5....
J. Symbol. Comput. 78, 91–114 (2016). 28. Bondi, A. Van der Waals volumes and radii. J. Phys. Chem. 68, 441–451 (1964). 29. Rowland, R. S. & Taylor, R. Intermolecular nonbonded contact distances in organic crystal structures: comparison with distances expected from van der ...