Umulis DM, Othmer HG (2014) The role of mathematical models in understanding pattern formation in developmental biology. Bull Math Biol. doi:10.1007/s11538-014-0019-7Umulis, D. & Othmer, H. The Role of Mathemat
{L}\\\) that occurs at least in the minimum number of examples, i.e., \\\(\\\vert \\\{e \\\in \\\mathcal{D}\\\mid heta \\\mbox{ occurs in }e\\\}\\\vert \\\geq {{min\\\_\\\,fr}}\\\) , is a frequent pattern. Discovery of all frequent patterns is a common ...
a, Direct energy cascade: in a turbulent 3D fluid, energy injected at large scales (red arrow) is transferred to smaller and smaller length scales (black arrows) to microscopic length scales in which dissipation occurs (blue arrow), as captured by the so-called energy spectrumE(k), which d...
REDemo with simple examples “But wait, there’s more!” as my late, great boss Yuri Rubinsky used to say. What if you want to be able to change the pattern you’re looking for at runtime? Remember all that Java code you just wrote to match T in column 1, plus a vowel, some ...
Math. 41(2) (2004) 257–265]. We study the maximal pattern complexity p α * ( k ) of two-dimensional words α. A two-dimensional version of the notion of strong recurrence is introduced. It is shown that if α is strongly recurrent, then either α is doubly periodic or p α * ...
(commonly called Turing patterns)11, both in their morphology and in the manner in which the patterns develop as the fish matures. This led to a boom in Turing pattern-related research, and many examples of biological patterning were modeled with Turing-type interactions12,13,14,15. Zebrafish...
1 presents the examples of the query-hypernym pair dataset. the queries and candidate hypernyms in the hypernym discovery task can be one-word, two-word, or three-word noun phrases. each query can have up to 15 gold hypernyms. in addition, the query is given with a noun phrase and type...
Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; magnet as an equivalent solenoid, magnetic field lines; earth's magnetic field and its magnetic elements Para-, dia-, and ferro- magnetic substances, with examples Electromagnets and the factors affecting their strengths, perm...
Table 3. Examples of manual labeling format for YiXi talks. The next step is feature extraction of manually labeled information. In accordance with results of manual annotation (Table 3 for example), we summarized rules of opening or ending form (focusing on the first sentence and last three...
Here are a few examples of using the generalSize method in the interpreter:scala> generalSize("abc") res14: Int = 3 scala> generalSize(Map(1 -> 'a', 2 -> 'b')) res15: Int = 2 scala> generalSize(Math.Pi) res16: Int = -1 ...