Chapter 15 Tradition in Whole Number Arithmetic Ferdinando Arzarello Nadia Azrou , Maria G. Bartolini Bussi , Sarah Inés González de Lora Sued , Xu Hua Sun , and Man Keung Siu 15.1 General Introduction Ferdinando Arzarello The Merriam-Webster Dictionary1 ...
The modern definition of primality is that "a prime number is a positive integer with exactly two positive divisors". However, this may seem unconvincing (and/or arbitrary) by itself, until you stop to consider why we define things the way we do in mathematics, physics or other sciences. ...
It is possible to refute this idea through the following consideration: It is easy to recognize that when, for example, new signs (symbols) are introduced during the course of a mathematical investigation (…), it is not possible to represent the thoughts that led to the introduction of the...
In easy items, the students who were poor in text comprehension but skilful in arithmetic performed better than those who were skilful in text comprehension but poor in arithmetic. However, there were no differences between these two groups in WP-solving performance on difficult items, showing ...
In 2015 we released the Simple Encrypted Arithmetic Library - SEAL with the goal of providing a well engineered and documented homomorphic encryption library, with no external dependencies, that would be easy to use both by experts and by non-experts with little or no cryptographic background. ...
Zig strives to apply friction to make it harder to do things you likely should not be doing and make it easy to do things the right way, but in the status quo, I believe it accidentally encourages people to write suboptimal software that does not adequately express their intent when it ...
Using the Interval Arithmetic Library 11 1.1 What Is Interval Arithmetic? 11 1.2 C++ Interval Support Goal: Implementation Quality 11 1.2.1 Quality Interval Code 12 v 1.2.2 Narrow-Width Interval Results 12 1.2.3 Rapidly Executing Interval Code 13 1.2.4 Easy-to-Use Development Environment 13 ...
(i.e., "bit-capacity") of results that will need to be computed into this Int instance. Once configured in this way, the big.Int implementation's promise to the caller is that for big.Int operations invoked on this instance that support constant-time operation (and not all do or will...
In ultrasound imaging, different beamforming methods are used to obtain the image of the field of view. The image quality largely depends on the type of beamforming used in ultrasound imaging. To make the ultrasound imaging system portable, beamforming system needs to be implemented as compact ...
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