Arithmetic With Complex Numbers

Prediction of Sulfate Scale Depositions in Oilfield Operations Using Arithmetic of LR Fuzzy Numbers

In this study fuzzy arithmetic is presented as a tool to tackle the prediction of the amount of barium, strontium and calcium sulfates scales in oilfield operations. Since the shape of fuzzy numbers’ membership functions is a spread representative of the whole possible values for a special model parameter, fuzzy numbers are able to consider the uncertainties in parameter determinations and thus...

Recognition of Handwritten Persian Numbers and Arithmetic Symbols Using Neural Networks

Recognition of Handwritten Persian Numbers and Arithmetic Symbols Using Neural Networks

A remark on the means of the number of divisors

‎We obtain the asymptotic expansion of the sequence with general term $frac{A_n}{G_n}$‎, ‎where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$‎, ‎with $d(n)$ denoting the number of positive divisors of $n$‎. ‎Also‎, ‎we obtain some explicit bounds concerning $G_n$ and $frac{A_n}{G_n}$.

Design and Implementation of Complex Floating Point Processor Using Fpga

This paper presents complete processor hardware with three arithmetic units. The first arithmetic unit can perform 32-bit integer arithmetic operations. The second unit can perform arithmetic operations such as addition, subtraction, multiplication, division, and square root on 32-bit floating point numbers. The third unit can perform arithmetic operations such as addition, subtraction, multipl...

ASIC Design of Butterfly Unit Based on Non-Redundant and Redundant Algorithm

Fast Fourier Transform (FFT) processors employed with pipeline architecture consist of series of Processing Elements (PE) or Butterfly Units (BU). BU or PE of FFT performs multiplication and addition on complex numbers. This paper proposes a single BU to compute radix-2, 8 point FFT in the time domain as well as frequency domain by replacing a series of PEs. This BU comprises of fused floating ...