was normal (in the sense of Borel) with respect to the base 10, a normal number being one whose digits exhibit a complete randomness. More precisely a number is normal provided each of the digits 0, 1, 2, • • • , 9 occurs with a limiting relative frequency of 1/10 and each of the 10k sequences of k digits occurs with the frequency 10_k . Champernowne conjectured that if the sequence of all inte...

The Overlap Resolution Number System (ORNS) employs bit level residue arithmetic, and opens up a powerful approach to digital computing with analog processing elements. This new redundant representation of signals, with Continuous Valued Digits, opens up new methods for binary arithmetic and digital signal processing. The number system is based on analog residues as opposed to binary or multipl...

Stenosing tenosynovitis of the thumb and fingers is a very common problem seen by the primary-care physician, the orthopaedic surgeon, and the hand surgeon. Primary stenosing tenosynovitis is usually idiopathic and occurs more frequently in middle-aged women than in men, but can be seen even in infancy. Secondary stenosing tenosynovitis of the digits can occur in patients with rheumatoid arthri...

Chinese character input is always a key issue in a variety of Chinese based applications especially when only a small number keypad is available. Though many kinds of Chinese character encoding schemes are proposed according to Chinese character characteristics, such as the shape, they are not straightforward and will take users a long time to learn. An easy way is to input via Chinese pinyins....

This paper presents mathematical foundtions of the Overlap Resolution Number System (ORNS) which employs signed Continuous Valued Digits (CVD’s). ORNS is a redundant Number System employing residue arithmetic. In contrast to the implementation of arithmetic by binary or multiple-valued logic circuits, arithmetic operations in this novel number system are performed by analog digit manipulation c...

With the rapid development of mobile health, mechanisms for automatic data input are becoming increasingly important for mobile health apps. In these apps, users are often required to input data frequently, especially numbers, from medical devices such as glucometers and blood pressure meters. However, these simple tasks are tedious and prone to error. Even though some Bluetooth devices can mak...