Contrary to common understanding, we prove that the LCOE (Levelized Cost Of Energy) definition used by many government agencies around the world is mistaken. We derive the correct definition. The paper shows how a fundamental theorem of integral calculus can help to solve a practical problem...

The electricity commodity exchange is a place where you can sell and buy, among other things, electricity. Is the sale free from profit-generating activities that have no relation to the production costs incurred ? Here, we suggest a mathematical model that tracks this type of the non-ethical...

Polish Abstract:Artykuł pokazuje proste zastosowania matematyki finansowej do weryfikacji poprawności dokumentów rządowych.Napisaliśmy skargę do Prezydenta Rzeczypospolitej Pana dr Andrzeja Dudy, w sprawie sposobu planowania budowy elektrowni jądrowej na terenie Gminy Choczewo w...

Three models of trading on the electricity commodity exchange are presented, where the market clearing price is based on the weighted average value of the proposed goods. The models make it possible to estimate the prices of the goods offered for sale on the basis of two parameters; the market...

In the article we compare the probabilities of a core meltdown for second and third generation nuclear reactors. A simple methodology with its physical interpretation was proposed. The probability of a core meltdown for the set of 405 reactors of the second generation (GENII) was calculated to...

In the article we define the concept of inflation rate related only to electricity production and derive the appropriate discount function using the continuous-time approach. We also present a modification for models with discrete time. The concept of the inflation rate function is based on the...

In this article, we consider a solution to the problem of fair distribution of ice cream. This task is a canonical problem discussed in the theory of cooperative games. Although the above-described problem is well known, we propose the simplest approach to its solution. We also compare the...

An exact closed-form solution is developed for the three-dimensional free-surface problem, which is an extension of the three-point method often used in hydrology. The solution applies to a steady-state, saturated, homogeneous and isotropic unconfined aquifer with a horizontal base. The computed...