In this manuscript, we show new binomial identities in iterated rascal triangles, revealing a connection between the Vandermonde convolution and iterated rascal numbers. We also present ...

This article deals with the Binomial Theorem (Positive Integral Index). CAT has in the past years thrown some questions on this topic, but this has been rather infrequent when you compare the constant ...

1 Institute of Teacher Education, Davao Del Norte State College, Panabo, Philippines. 2 Institute of Advanced Studies, Davao Del Norte State College, Panabo, Philippines. Much of the development in ...

ABSTRACT: The quantization thermal excitation isotherms based on the maximum triad spin number (G) of each energy level for metal cluster were derived as a function of temperature by expanding the ...

The chapter Binomial theorem is one of the easiest chapters in the JEE Maths Syllabus. Students can easily attempt the question asked from this chapter if they are familiar with some basic concepts ...

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Abstract: This paper is about Jacobi’s triple product identity and Euler’s pentagonal number theorem. To be specific, it gives the proofs of Jacobi’s triple product identity via Gaussian polynomials ...

It also delves into binomial theorems, partial fractions, and dispersion measures, including mean and standard deviation. On the other hand, Mathematics II-B focuses on geometric concepts, such as ...