Multiplication, Division and Square Root Extraction Methods for Electronic Desk Calculators

1973 ◽  
Vol 19 (4) ◽  
pp. 182-188
Author(s):  
P. W. Besslich ◽  
S. Raman
Keyword(s):  
Extraction Methods ◽  
Square Root ◽  
Root Extraction

scholarly journals A note on machine method for root extraction

2022 ◽  
Vol 40 ◽  
pp. 1-6
Author(s):  
Saroj Kumar Padhan ◽  
S. Gadtia
Keyword(s):  
Real Number ◽  
Newton’S Method ◽  
Newton's Method ◽  
Extraction Methods ◽  
Critical Study ◽  
Square Root ◽  
Machine Method ◽  
Iteration Formula ◽  
Root Extraction

The present investigation deals with the critical study of the works of Lancaster and Traub, who have developed $n$th root extraction methods of a real number. It is found that their developed methods are equivalent and the particular cases of Halley's and Householder's methods. Again the methods presented by them are easily obtained from simple modifications of Newton's method, which is the extension of Heron's square root iteration formula. Further, the rate of convergency of their reported methods are studied.

About the Complexity of Square Root Extraction Algorithms in Finite Fields and Residue Rings

Vestnik MEI ◽  
2018 ◽  
Vol 5 (5) ◽  
pp. 79-88
Author(s):  
Sergey B. Gashkov ◽  
◽  
Aleksandr B. Frolov ◽  
Elizaveta Р. Popova ◽  
◽  
...  
Keyword(s):  
Finite Fields ◽  
Square Root ◽  
Root Extraction

Square-Root Extraction with Random Logic

1983 ◽  
Vol 29 (2) ◽  
pp. 91-93
Author(s):  
R.S. Chhokra
Keyword(s):  
Square Root ◽  
Root Extraction

Arithmetic in Maya Numerals

1971 ◽  
Vol 36 (1) ◽  
pp. 54-63 ◽  
Author(s):  
W. French Anderson
Keyword(s):  
Evolutionary Development ◽  
Place Value ◽  
Square Root ◽  
Advantages And Disadvantages ◽  
Root Extraction ◽  
Two Systems

AbstractArithmetical procedures, including addition, subtraction, multiplication, division, and square root extraction, are demonstrated using the Maya numerals. All procedures can be carried out efficiently. The Maya system is relatively unique in that it combines properties of both place-value and non-place-value numerical systems. The Babylonian system, discussed briefly, also utilizes a mixture of properties from the two systems. In order to take into account the unique hybrid characteristics of these two systems, as well as the subtractive principle of the Roman numerals, we here define a third category of numerical systems designated as mixed-place-value in type. The three types of numerical systems are compared and the advantages and disadvantages of each are mentioned. The evolutionary development of numerical systems in relation to the mathematical needs of societies is discussed.

On Square Root by Division

1946 ◽  
Vol 39 (2) ◽  
pp. 75-76
Author(s):  
E. W. Chittenden
Keyword(s):  
Division I ◽  
Square Root ◽  
Root Extraction

In a recent article1 Mr. William S. Tobey has written regarding the advantages of teaching root extraction by a method which he calls “Approximation and Division.” I wish to suggest some improvements in the method he proposes and to discuss several related educational questions. Let us begin by considering the proposed modifications.

scholarly journals التنفيذ العالي الأداء لمصفوفة استخراج الجذر التربيعي الخليوية

2006 ◽  
Vol 2 (1) ◽  
pp. 22
Author(s):  
محمد مازن المحايري
Keyword(s):  
Computer Graphics ◽  
Basic Operation ◽  
Square Root ◽  
Root Extraction ◽  
Root Operation

Square root is a basic operation in computer graphics and scientific calculation applications. Because of the complexity of square root algorithms, the square root operation is hard to implement on hardware. This paper shows how a non-restoring integer square root algorithm can be transformed to very efficient hardware (area and speed) .The cellular arithmetical arrays for non-restoring and restoring square root extraction are redesigned .The comparison shows the non-restoring algorithm can be implemented with fewest and result is the fastest circuit among other methods.

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