This paper shows how to prove the Theorem , i.e., the number of partitions of n with no part repeated more than twice is equal to the number of partitions of n with no part is divisible by 3.

Using method of Lagrange multipliers, an attempt has been taken in this paper to derive mathematical formulation to devise optimal purchasing policy in order to maximize utility function subject to multiple constrained, in this particular illustration, two constraints: 1) budget constraint, and...

This paper deals with Borda count which is sincere voting system and originally proposed by French mathematician and philosopher Jeans-Charles Borda. In Borda count a defeated candidate can manipulate the election result in his favor in sincere way by introducing a candidate which is a clone of...

Friedmann, Robertson-Walker (FRW) models are established on the basis of the assumption that the universe is homogeneous and isotropic in all epochs. Even though the universe is clearly inhomogeneous at the local scales of stars and cluster of stars, it is generally argued that an overall...

This paper shows how to prove the two Theorems first and second mock theta conjectures respectively.

Bangladesh is a developing country in the South Asia. Its illiterate and unskilled large population is a burden to the country. Agriculture is the main source of the income of the country. Government of the country is taking various steps to decrease poverty, but yet about one-third of people of...

The median voter theorem is one of the most prominent results of formal political theory and economics, and is widely used to study interactions between them. The median voter is the person in the middle of the distribution on the single dimension and is a more accurate predictor of decision...

This paper discusses the green marketing which incorporates a broad range of activities such as the product modification, changes to the production process, packaging changes, as well as modifying advertising of the environment friendly commodities. The green marketing of products of the company...

This paper is about green accounting. It contains a beneficial economic model where government pursues optimal economic policies. The aim of the paper is to serve as an indicator of wealth changes, performance of environment policy and sustainable use of natural capital. All the services are...

This study presents a review of major capital structure fiction. Capital structure decision is important for companies because it helps to increase firm value by ensuring that the company has enough resources to carry out planned investments using as much as possible the cheapest cost of...