Image Compression Using Simple Arithmetic Operations

2007 ◽  
Author(s):  
Seshagiri Rao Gurram ◽  
Suneeta Agarwal
Keyword(s):  
Image Compression ◽  
Arithmetic Operations ◽  
Simple Arithmetic

scholarly journals Step Pyramid Distribution for Prime Numbers

2022 ◽  
Vol 14 (1) ◽  
pp. 55
Author(s):  
Shaimaa said soltan
Keyword(s):  
Number System ◽  
Prime Numbers ◽  
Classification Algorithm ◽  
Algorithm Complexity ◽  
Arithmetic Operations ◽  
Simple Arithmetic ◽  
Simpler Algorithm

In this document, we will present a new way to visualize the distribution of Prime Numbers in the number system to spot Prime numbers in a subset of numbers using a simpler algorithm. Then we will look throw a classification algorithm to check if a number is prime using only 7 simple arithmetic operations with an algorithm complexity less than or equal to O (7) operations for any number.

Parallel-sequential adder-subtractor with the highest digits forward on neurons

2021 ◽  
Author(s):  
S.S. Shevelev
Keyword(s):  
Computer System ◽  
Control Unit ◽  
Arithmetic Operations ◽  
Mathematical Functions ◽  
Simple Arithmetic ◽  
Addition And Subtraction

The article deals with the development of a parallel-sequential adder-subtractor that performs arithmetic operations of addition and subtraction of binary numbers in the format with a fixed comma with the highest digits forward. The result of performing arithmetic operations is the sum and difference of binary numbers in the direct code of eight digits. The sum and difference of numbers is calculated on neuropositive elements, the transfer to the highest digits when summing and the loan from the highest digits when subtracting is determined by the majority elements. The algorithm for adding numbers in direct codes allows you to get the result in direct code. The signed digits of numbers determine which operation should be performed on numbers using the sum modulo two operation. If the characters are the same, the result will be zero. Otherwise, the result will be one. After that, the addition or subtraction operation is selected. Summation is performed if the numbers have the same signs, the result is assigned the sign of the first number. Subtraction is performed if the numbers have different signs, the result is assigned the sign of a larger modulo number. The adder-subtracter senior digits forward on neurons contains: block input, block comparatii, the block parallel-serial addersubtracter, the unit registers a larger number, the unit of determining the transfer and loan, a unit registers a smaller number of unit registers a result, the control unit, majority, threshold and neural elements. The device can be used as an arithmetic co-processor in a computer system. It significantly speeds up calculations of both simple arithmetic operations and results of various mathematical functions.

scholarly journals The Role of Learning the Japanese Kuku Multiplication Chant in Simple Arithmetic Operations

2011 ◽  
Vol 02 (03) ◽  
pp. 276-278 ◽  
Author(s):  
Hiroyasu Ito ◽  
Namiko Kubo-Kawai ◽  
Nobuo Masataka
Keyword(s):  
Arithmetic Operations ◽  
Simple Arithmetic

The Approximate Number System (ANS) and Discriminating Magnitudes

2020 ◽  
pp. 127-139
Author(s):  
Ellen Peters
Keyword(s):  
Number System ◽  
Approximate Number System ◽  
Arithmetic Operations ◽  
Simple Arithmetic ◽  
Math Ability ◽  
Intuitive Sense

This chapter, “The Approximate Number System (ANS) and Discriminating Magnitudes,” discusses our intuitive, rather than deliberative, understanding of numbers. Humans are born with an innate sense of number and an ability to perform simple arithmetic operations with sets of objects without counting. We share this intuitive sense of numeric magnitude (how big one quantity is relative to another) with other species. Non-human animals cannot count as humans do. However, they have a keen sense of quantity that allows them to tell quickly and efficiently which quantity is bigger so that they can make better choices about food, mates, and safety. In humans, this intuitive sense of numbers develops from infancy to adulthood, and it appears to underlie the emergence of symbolic math ability (objective numeracy) in children.

Relationship between Circadian Rhythm in Body Temperature and Ultradian Variations of Psychological and Physiological States in Arousal

1995 ◽  
Vol 7 (2) ◽  
pp. 151-155
Author(s):  
Yoichi Tsuji ◽  
◽  
Kazuyuki Nagasawa
Keyword(s):  
Circadian Rhythm ◽  
Body Temperature ◽  
Maximum Entropy Method ◽  
Significant Negative Correlation ◽  
Entropy Method ◽  
Diurnal Variations ◽  
Least Square ◽  
Arithmetic Operations ◽  
Simple Arithmetic ◽  
The Relationship

In order to investigate the relationship between the ultradian variations of psychological and physiological states in arousal and circadian rhythm in body temperature, the physiological and psychological testing of seven subjects was carried out continuously for 13 hours from 9am to 10pm. Diurnal variations in physiological and psychological quantities were analyzed by the maximum entropy method and the least square approximation. As a result of the analysis, three kinds of ultradian component (periods of 1.5, 3.0, and 6.0 hour) were detected. In addition, with regard to the 1.5-hour-cycle component for simple arithmetic operations and heart rates, the interrelation between the period of ultradian variations and the amplitude of the rhythm of body temperature was investigated for each subject; as a result, it was recognized that there were a statistical significant negative correlation (r = -0.72, p<0.05) between body temperature and simple arithmetic operations and a positive correlation (r = 0.95, p<0.001) between body temperature and heart rate. This shows that the cycles of ultradian variations are affected by circadian rhythms, and is important knowledge in considering the essence of ultradian rhythm.

scholarly journals Ants Can Add Up Using Learned Numeric Symbols

2020 ◽  
Vol 12 (3) ◽  
pp. 27
Author(s):  
Marie-Claire Cammaerts ◽  
Roger Cammaerts
Keyword(s):  
Animal Species ◽  
Arithmetic Operations ◽  
Simple Arithmetic

The workers of the ant Myrmica sabuleti have been shown to be able to add numbers of elements after having seen them simultaneously, side by side, during training, and to be able to acquire single as well as multiple symbolism. It was here examined if these ants could make additions using learned symbols. In fact, after having learned the required symbols during a first conditioning, the ants could, thanks to a second conditioning, carry out operations 1 + 1, 1 + 2, 2 + 2 and 3 + 1 by using the quantities of elements presented as well as their corresponding symbols. This ability results from the ants&rsquo; learning of the correspondence between symbols and numbers of elements by an operative conditioning, and from their ability to add up two quantities viewed simultaneously. A comparison of the ants&rsquo; score when adding elements and when adding their corresponding symbols suggests that the use of symbolism may represent some facility for the execution of simple arithmetic operations, as is the case in higher animal species.

scholarly journals Comparative Analysis of the Effectivenessof the Using of Direct and Generalized Conditional Reinforcement in the Development of a Skill of Solving of Simple Arithmetic Problems in a Child with ASD

2021 ◽  
Vol 71 (2) ◽  
pp. 52-58
Author(s):  
Yu.V. Kolesnikova
Keyword(s):  
Applied Behavior Analysis ◽  
Autism Spectrum ◽  
Second Phase ◽  
Arithmetic Operations ◽  
Simple Arithmetic ◽  
Mathematical Problems ◽  
Variable Mode ◽  
Arithmetic Performance ◽  
Two Phases ◽  
Tangible Reinforcement

Within the framework of the applied behavior analysis, a comparison of the effectiveness of the direct and the generalized reinforcement was made during the teaching the skill of distinguishing arithmetic operations in mathematical problems. The study was conducted in two phases over two weeks with a 9-year-old girl with autism spectrum disorder (ASD). The first phase included training of multiplication and addition tasks, using tangible reinforcement, compared to the training of the arithmetic performance in division and subtraction tasks, using generalized reinforcement. The second phase included the training of discrimination between different arithmetic operations, but tangible and generalized reinforcements were used in variable mode. The results showed no differences in the effectiveness of both generalized and tangible reinforcements in the teaching process. The participant successfully learned to discriminate between different arithmetic operations as addition, multiplication, subtraction and division in single-component tasks.

scholarly journals Design, Implementation & Performance of Vedic Multiplier Based on Look Ahead Carry Adder for Different Bit Lengths

2022 ◽  
Vol 10 (1) ◽  
pp. 24-30
Author(s):  
Vaishali Sharma
Keyword(s):  
Execution Time ◽  
Processing Time ◽  
Arithmetic Operations ◽  
Simple Arithmetic ◽  
Logic Operation ◽  
Look Ahead ◽  
Vedic Multiplier ◽  
Overall Performance ◽  
Addition And Subtraction

Abstract: This paper proposed the layout of Vedic Multiplier based totally on Urdhva Trigbhyam approach of multiplication. It is most effective Vedic sutras for multiplication. Urdhva triyagbhyam is a vertical and crosswise approach to discover product of two numbers. Multiplication is an essential quintessential feature in arithmetic logic operation. Computational overall performance of a DSP device is limited via its multiplication overall performance and since, multiplication dominates the execution time of most DSP algorithms. Multiplication is one of the simple arithmetic operations and it requires extensively extra hardware assets and processing time than addition and subtraction. Our work is to compare different bit Vedic multiplier structure using carry look ahead adder technique. Keywords: Carry Look Ahead Adder, Urdhva Trigbhyam, DSP algorithms, Vedic Multiplier

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