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Secret-text by e-abacus diagram II
Abstract
In this work, there will be upgraded on the work of ( Mahmood & Mahmood 2018), by finding a general rule of code for any text made from any number of words by using James e-Abacus Diagram in partition theory.
... A partition = ( 1 , 2 , … , ) is an arrangement of these numbers that takes advantage of the fact that they are either equal or decreasing. For example, (5,5,4,4,4,4,1) is a partition of 27, but (5,4,4,4,4,5,1) is not. Defining β j = + − , 1 ≤ ≤ . ...
... A partition = ( 1 , 2 , … , ) is an arrangement of these numbers that takes advantage of the fact that they are either equal or decreasing. For example, (5,5,4,4,4,4,1) is a partition of 27, but (5,4,4,4,4,5,1) is not. Defining β j = + − , 1 ≤ ≤ . ...
... A partition = ( 1 , 2 , … , ) is an arrangement of these numbers that takes advantage of the fact that they are either equal or decreasing. For example, (5,5,4,4,4,4,1) is a partition of 27, but (5,4,4,4,4,5,1) is not. Defining β j = + − , 1 ≤ ≤ . ...
There has been an upsurge in interest in studying different (movements) on the e-abacus diagram in
recent years in an effort to ascertain how these movements affect the design's origin as a type of coding.
In this paper, we will present a technique that s being utilized for the first time, but from a single
diagram, we will produce numerous diagrams that are distinct from one another save for some areas of
the diagram, making it nearly impossible to identify the original. It will begin exclusively on the bottom
left side of the picture, move in a manner akin to slides from top to bottom and from bottom to top, then
exclusively on the top left side of the diagram, move in the direction up at the bottom, and eventually go
downward to the top. We will present four new types in this research and in the upper or lower
directions by dividing the diagram into slides merely from the left side of the diagram, namely LSUUL,
LSULU, LSLUL, and LSLLU.
... In this section, we present the idea of combining the graph theory of e-abacus diagram [5] and CYD, it is called the GCYD-Method, and it applies to the encoding of English letters and later the word or sentence [6][7], which will be extremely difficult to decipher without prior knowledge of the word or sentence, and this method will be a two-layer method. The merging procedure is based on the premise that the chosen shape should be (more like a square matrix) utilizing graph theory, which is the e-abacus diagram that is presented for each letter of the English language and that is achieved in the initial layer of the coding process [5]. ...
... Exactly with the second idea, which states that any graph must ultimately begin with the first notion. A.B. Mahmood and A.S. Mahmood in [6][7] put the optimal model for each letter based on the 5-abacus diagram, because any model that is smaller than the one chosen will not achieve the optimal shape due to the possibility of two letters being similar in one or the lack of clarity of the shape, and we give the coding for this in the following table: Which corresponds, for example, to some letters: ...
We will provide a new method in this study that integrates two types of applications, namely Graph Theory and Conjugate Young Diagram, the idea of combining the graph and the Young diagram is presented by Ali And Mahmood, which is primarily based on the idea of the e-abacus diagram, the new method is called GCYD, it directly applies to the English letter section, which will be a two-layer coding. It makes it difficult to detect the word or sentence.
... Cryptography is a way in which the sending letter is encoded to be sent to an authorized receiver and avoiding to be exposed by an unauthorized persons see Sharmi [14]. In this paper a 5×5-pixel letter is taken under consideration to encode a word consists of two letters or more; Mahmood and Mahmood [10] and [11]. The highlighted pixels in the word is considered as beads (values of the word's partition) and have been read vertically. ...
... For example, if we choose the number of rows is equal to 5 then we have the following cases in Satin weaves: Table 6. Satin weaves graphs In fact, once we pay attention a little, we see that the idea of choosing a square matrix is in itself completely identical to the idea presented by Mahmood and Mahmood [10][11], which put each letter of the English language in a design according to the 5-abacus diagram. ...
The question often revolves around the extent to which the fields of mathematics can be applied, and is it possible to benefit from them in our lives? We try to provide direct answers to some of them, while we are unable to provide answers to other areas. However, in this work we will present a new vision different from everything that was presented on the subject of the e-abacus diagram; by using a vertical reading which is not previously used for any partition instead of the horizontal, where the works of each Hann and Thomas, Mukai and recently Kirani; each separately, in finding mathematical relationships with cotton and industrial products inspired us to find a link more than Wonderful, it will be useful in increasing production or the possibility of presenting one or more models for design through this diagram.
... Also, new additions to the topic of partition theory and β-numbers [9] led to the emergence of the idea of coding the Syriac letters in 2017 [10,11]. In 2018 and 2019, both Mahmood and Mahmood [12,13] presented the idea of coding English letters and, where adding these letters according to the rule was remarkably useful. In fact, the idea of coding is common for many researches and other different topics [14]. ...
... Now, we can select the splitting, which includes three splits, as shown in Table 9. The β-numbers for the previous example, when e = 6, can be represented as (23,20,19,18,14,13,11,9,8,7,6,4,3,1), as shown in Table 10. We can calculate the partition of each split, as shown in Table 11. ...
In the partition theory, there is more then one form of representation of dedication, most notably the Abacus diagram, which gives an accurate and specific description. In the year 2019, Mahmood and Mahmood presented the idea of merging more than two plans, and then the following question was raised: Is the process of separating any somewhat large diagram into smaller schemes possible? The general formula to split e-abacus diagram into two or more equal or unequal parts was achieved in this study now.
... This will provide later the possibility of adopting it as a type of encoding or encryption in many applications on the topic of partition, thus opening new horizons for scientific research in this direction. See [8][9][10][11][12][13][14][15]. ...
In our normal life, we sometimes need a process of replacing something with another to get out of the stereotype. From this point of view, Mahmood’s attempted in the year 2020 to replace the content in the first main e-abacus diagram. He found the general rule for finding the value of the new partition after the replacement from the original partition. Here we raise the question: Can we find the appropriate mechanisms for the remainder of the main e-abacus diagram?
This thesis has three objectives. The first is to complete what Fayres, Mahmood, and Mohammed each independently did in adding a column and then columns to the e-abacus diagram, so that we could add a row and then rows on the same diagram this time and know the requirements for it. The second objective is to locate a new movement on the diagram that has never been used before, to characterize it, and to determine what future possibilities it presents.
The ultimate and most significant goal, which was to find an industrial application that could profit from them, was served by both of the aforementioned objectives. We achieved this through the work that Kirani presented in his research on a textile application in 2022, which was based on a model submitted for a doctoral dissertation in the United States of America by Mukai in 2019.
In Young's diagram there are many characteristics and attributes that have been studied over decades, and the concepts of rim are perhaps the most prominent. In this paper, we will try to present a set of rules through which we will be able to find what the rim represents through the partition origin without the need for drawing in the first place.
The Syriac language is one of the oldest languages in the world. So far, some people speak it, for example in Iraq, Syria, southeastern Turkey and other countries. In this work, the Syriac letters were coded according to what was adopted by Sami and Mahmood in 2017 using the e-abacus diagram. More than one method is used to encode the English letters or diagrams that follow the concepts of partition theory. Each of them was taking its own path and the vision was to start with what Mohommed et al looked like in 2015 through the orbit concept. Then make the comparisons to observe the most efficient, fastest and most accurate method that could be followed.
Any partition it has two characteristics, the first is called regular and the second is regularisation, both of which were introduced by James in 1976. Through this research we will try to present a new type that greatly serves the proposed model of English letters that were presented by Mahmood and Mahmood in 2019.
This experiment may be applied before with certain and special roles, but never applied under partition theory (Abacus James Diagram) conditions. Therefore, we would have to find an appropriate design for each character to enable us sending a word represented as increasing number with meaning only for beneficiaries. © 2019, University of Baghdad-College of Science. All rights reserved.
These notes give a fully self--contained introduction to the (modular) representation theory of the Iwahori--Hecke algebras and the q--Schur algebras of the symmetric groups. The central aim of this work is to give a concise, but complete, and an elegant, yet quick, treatment of the classification of the simple modules and of the blocks of these two important classes of algebras.
I don't know where RG got this PDF file from. It is a preliminary version and differs substantially from the published version.
In the first half of this paper we introduce a new method of examining the q-hook structure of a Young diagram, and use it to prove most of the standard results about q-cores and q-quotients. In particular, we give a quick new proof of Chung's Conjecture (2), which determines the number of diagrams with a given q-weight and says how many of them are q-regular. In the case where q is prime, this tells us how many ordinary and q-modular irreducible representations of the symmetric group there are in a given q-block. None of the results of section 2 is original. In the next section we give a new definition, the p-power diagram, which is closely connected with the p-quotient. This concept is interesting because when p is prime a condition involving the p-power diagram appears to be a necessary and sufficient criterion for the diagram to be p-regular and the corresponding ordinary irreducible representation of to remain irreducible modulo p. In this paper we derive combinatorial results involving the p-power diagram, and in a later article we investigate the relevant representation theory.(Received March 29 1977)
On the introduction of young Diagram core
- S Ammar
- Mahmood
Ammar S. Mahmood, 2011. On the introduction of young Diagram core, J. Educ. and Sci. (Mosul
University), 24(3): 143-159.