We introduce a series of generalized clustering coefficients based on String formalism given by Aoyama, using adjacent matrix in networks. We numerically evaluate Milgram condition proposed in order to explore q-th degrees of separation in scale free...
In this note we give a general definition of the gravitational tension in a given asymptotically translationally-invariant spatial direction of a space-time. The tension is defined via the extrinsic curvature in analogy with the Hawking-Horowitz de...
Many automated program repair techniques have been proposed for fixing bugs. Some of these techniques use the information beyond the given buggy program and test suite to improve the quality of generated patches. However, there are several limitation...
Let T be a measurable transformation of a probability space $(E,\mathcal {E},π)$, preserving the measure π. Let X be a random variable with law π. Call K(\cdot, \cdot) a regular version of the conditional law of X given T(X). Fix $B\in \mathcal {E...
We introduce the (general) homotopy groups of spheres as link invariants for Brunnian-type links through the investigations on the intersection subgroup of the normal closures of the meridians of strongly nonsplittable links. The homotopy groups me...
Parliament was given the right to dismiss the chancellor. Under the 1919 Weimar Constitution the chancellors were appointed by the directly elected president
First, a tweet on what Germany was pre-Weimar: As the Holy Roman Empire ended, Germans united throughout the 18th and 19th centuries under strong leadership, loyal monarchs, and good governan...
Dictionaries have been one of the central questions in data structures. A dictionary data structure maintains a set of key-value pairs under insertions and deletions such that given a query key, the data structure efficiently returns its value. The s...
We know that power is given by: Power = force x velocity Here, the force required to lift the elevator is: force = 20,000 N The velocity of the elevator is what we need to find. Let's assume it is v m/s.
We consider the problem of reserving link capacity in a network in such a way that any of a given set of flow scenarios can be supported. In the optimal capacity reservation problem, we choose the reserved link capacities to minimize the reservation...
Given two players alternately picking pieces of a pizza sliced by radial cuts, in such a way that after the first piece is taken every subsequent chosen piece is adjacent to some previously taken piece, we provide a strategy for the starting player t...
Given a vast concern about high income inequality in Thailand as opposed to empirical findings around the world showing people's preference for fair income inequality over unfair income equality, it is therefore important to examine whether inequalit...
Knowing that many Italian friends are now staying at home and getting bored. I would like to introduce you some funny nicknames given to major European clubs by Chinese fans. I used to translate Chine...
Damien ... Damien is a given name and less frequently a surname. The name is a variation of Damian which comes from the Greek Damianos.
Intermediate features of a pre-trained model have been shown informative for making accurate predictions on downstream tasks, even if the model backbone is kept frozen. The key challenge is how to utilize these intermediate features given their gigan...
In this paper we compute the sharp lower bounds for the crossing number of $n$-string $k$-loop essential tangles. For essential tangles with only string components, we characterise the ones with the minimum crossing number for a given number of compo...
The equations given earlier include the dependence of friction on materials and the normal force. The direction of friction is always opposite that of motion, parallel to the surface between objects, and …
On November 08, the sudden announcement to demonetization the high denomination currency notes sent tremors all across the country. Given the timing, and socioeconomic and political repercussions of the decision, many termed it a financial emergency....
Given a directed acyclic graph with labeled vertices, we consider the problem of finding the most common label sequences ("traces") among all paths in the graph (of some maximum length m). Since the number of paths can be huge, we propose novel algor...
We give a detailed presentation of $\ell$-isogeny graphs associated with ordinary elliptic curves defined over $\mathbb{F}_p$. We then focus on the following inverse problem: given an abstract volcano $V$, do there always exist primes $\ell, p \in \m...