scholarly journals Fabrication of Pascal‐triangle Lattice of Proteins by Inducing Ligand Strategy

2020 ◽  
Vol 59 (24) ◽  
pp. 9617-9623 ◽  
Author(s):  
Rongying Liu ◽  
Zdravko Kochovski ◽  
Long Li ◽  
Yue‐wen Yin ◽  
Jing Yang ◽  
...  
Keyword(s):  
Pascal Triangle ◽  
Triangle Lattice

scholarly journals Fabrication of Pascal‐triangle Lattice of Proteins by Inducing Ligand Strategy

2020 ◽  
Vol 132 (24) ◽  
pp. 9704-9710
Author(s):  
Rongying Liu ◽  
Zdravko Kochovski ◽  
Long Li ◽  
Yue‐wen Yin ◽  
Jing Yang ◽  
...  
Keyword(s):  
Pascal Triangle ◽  
Triangle Lattice

PENERAPAN METODE SEGITIGA PASCAL ALJABAR UNTUK MEMAKSIMALKAN TEKNIK PENYANDIAN ALGORITMA WORD AUTO KEY ENCRYPTION (WAKE)

2019 ◽  
Vol 3 (1) ◽  
Author(s):  
Kaldius Ndruru ◽  
Putri Ramadhani
Keyword(s):  
Data Security ◽  
Important Data ◽  
Pascal Triangle ◽  
Absolute Requirement ◽  
Cryptographic Algorithms ◽  
Secure Data ◽  
Triangle Method ◽  
Symmetric Key

Security of data stored on computers is now an absolute requirement, because every data has a high enough value for the user, reader and owner of the data itself. To prevent misuse of the data by other parties, data security is needed. Data security is the protection of data in a system against unauthorized authorization, modification, or destruction. The science that explains the ways of securing data is known as cryptography, while the steps in cryptography are called critical algorithms. At this time, there are many cryptographic algorithms whose keys are weak especially the symmetric key algorithm because they only have one key, the key for encryption is the same as the decryption key so it needs to be modified so that the cryptanalysts are confused in accessing important data. The cryptographic method of Word Auto Key Encryption (WAKE) is one method that has been used to secure data where in this case the writer wants to maximize the encryption key and description of the WAKE algorithm that has been processed through key formation. One way is to apply the algebraic pascal triangle method to maximize the encryption key and description of the WAKE algorithm, utilizing the numbers contained in the columns and rows of the pascal triangle to make shifts on the encryption key and the description of the WAKE algorithm.Keywords: Cryptography, WAKE, pascal

scholarly journals Computing support for testing equal values of the figurative numbers in the Pascal triangle

2020 ◽  
Vol 2 (7) ◽  
pp. 36-41
Author(s):  
Miroslava Mihajlov Carević ◽  
Miloš Ilić ◽  
Milena Petrović ◽  
Nebojša Denić
Keyword(s):  
Programming Language ◽  
Mathematical Analysis ◽  
Computer Laboratory ◽  
C Programming Language ◽  
Pascal Triangle ◽  
C Programming ◽  
Computing Support

In this paper we deal with a method for the determination of numbers in a Pascal triangle that are simultaneously triangular, tetrahedral and pentaedroidni. The collected results, obtained by mathematical analysis, were verified by computer. For this purpose, we used the C# programming language as well as the computer laboratory within our University in order to test the results. The results collected by computer confirmed the accuracy of the results obtained by mathematical analysis.

Bi-Material Re-Entrant Triangle Cellular Structures Incorporating Tailorable Thermal Expansion and Tunable Poisson's Ratio1

2019 ◽  
Vol 11 (6) ◽  
Author(s):  
Xiaobing He ◽  
Jingjun Yu ◽  
Yan Xie
Keyword(s):  
Thermal Expansion ◽  
Cellular Structure ◽  
Material Selection ◽  
Coefficient Of Thermal Expansion ◽  
Planar Lattice ◽  
Lattice Cell ◽  
Thermoelasticity Equation ◽  
Triangle Lattice ◽  
Temperature Load ◽  
The Relationship

Abstract Based on the bi-material triangle lattice cell, a new cellular structure, bi-material re-entrant triangle (BRT) cellular structure, is devised to incorporate tailorable coefficient of thermal expansion (CTE) and tunable Poisson's ratio (PR) properties by replacing the straight base of a triangle with two hypotenuse members. A general thermoelasticity equation to systematically build the relationship among the external force, the temperature load, and the deformation for planar lattice structures with bounded joints is derived and then embedded into a theoretical model for the devised BRT structure. Using assembled thermoelasticity equation, effective PR, Young's modulus, as well as CTE are computed. In order to guide designers to construct initial concepts, the design domain for coupling negative CTE and negative PR properties is plotted. The material-property-combination region that can be achieved by this cellular structure is determined within an Ashby material selection chart of CTE versus PR. Nine available combinations of CTE and PR properties are extracted and demonstrated with abaqus simulation.

Preserving log-concavity for p,q-binomial coefficient

2019 ◽  
Vol 11 (02) ◽  
pp. 1950017
Author(s):  
Moussa Ahmia ◽  
Hacène Belbachir
Keyword(s):  
Binomial Coefficient ◽  
Binomial Coefficients ◽  
Linear Transformations ◽  
Pascal Triangle

We study the log-concavity of a sequence of [Formula: see text]-binomial coefficients located on a ray of the [Formula: see text]-Pascal triangle for certain directions, and we establish the preserving log-concavity of linear transformations associated to [Formula: see text]-Pascal triangle.

scholarly journals Modified For The Pascal Triangle Multinomial

2019 ◽  
Vol 1387 ◽  
pp. 012145
Author(s):  
Media Rosha ◽  
Arnellis
Keyword(s):  
Pascal Triangle
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