Given a set of m coins out of a collection of coins of k unknown distinct weights, we wish to decide if all the m given coins have the same weight or not using the minimum possible number of weighings in a regular balance beam. Let m(n, k) denote the maximum possible number of coins for which the above problem can be solved in n weighings. It is known that m(n, 2) = n 1 2 . Here we determine th...

Coins of Armenian king Tigranes the Great clearly reveal a star with a tail on the royal tiara which may be associated with the Halley's passage of 87 BC. Tigranes II the Great (95-55 BC) had made Armenia one of powerful kingdoms in Western Asia, extending from the Caucasus to the eastern Mediterranean. The economical needs and the expansion of the empire resulted in diverse silver and copper-b...

The field of Numismatics provides the names and descriptions of the symbols minted on the ancient coins. Classification of the ancient coins aims at assigning a given coin to its issuer. Various issuers used various symbols for their coins. We propose to use these symbols for a framework that will coarsely classify the ancient coins. Bag of visual words (BoVWs) is a well established visual reco...

In its simplest form, the coin problem is this: what is the largest positive amount of money that cannot be obtained using two coins of specified distinct denominations? For example, using coins of 2 units and 3 units, it is easy so see that every amount greater than or equal to 2 can be obtained, but 1 cannot be obtained. Using coins of 2 units and 5 units, every amount greater than or equal t...

We characterize the tournaments that are dominance graphs of sets of (unfair) coins in which each coin displays its larger side with greater probability. The class of these tournaments coincides with the class of tournaments whose vertices can be numbered in a way that makes them semiacyclic, as defined by Postnikov and Stanley. We provide an example of a tournament on nine vertices that cannot...

To analyze coin image has to be segmented into two regions once of the coin and the area belonging to the background. We focus on the segmentation task as a preprocessing step for any automated text localization and feature extraction system. Firstly, we present a simple and flexible method for coin segmentation, based on double seed of region growing of coin on Gaussian distributions that allo...

Anxiety prepares an organism for dealing with threats by recruiting cognitive resources to process information about the threat, and by engaging physiological systems to prepare a response. Heightened trait anxiety is associated with biases in both these processes: high trait-anxious individuals tend to report heightened risk perceptions, and inappropriate engagement in danger mitigation behavi...

In the demonstration, we present a new system that performs fast and reliable classification digital photographs of coins. The system is called Coin-o-matic, and is capable of recognizing 700 different coins with over 2,000 coin faces. In its current version, Coin-o-matic classifies approximately 94% of the coins in our testsets correctly, whereas the percentage of misclassifications is around ...

Roman coins play an important role to understand the Roman empire because they convey rich information about key historical events of the time. Moreover, as large amounts of coins are daily traded over the Internet, it becomes necessary to develop automatic coin recognition systems to prevent illegal trades. In this paper, we describe a new large annotated database of over 2800 Roman coin image...