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The Relevance of the Polynomial

Contrary to popular belief, mathematics plays an essential role in human life. It should even be said that without knowledge of mathematical formulas, regularities, and concepts, we would not be able to progress and develop. People mistakenly consider that mathematics is limited to the textbook and the school board, but as Maths With Jacob (2017) showed, mathematics is everywhere. Even such an unobvious topic as the polynomials finds its widest application in the basic sciences: physics, chemistry, economics. Honestly, I am glad I could watch this video and am ready to send it to all those studying mathematics. The way the presenter spoke about the relevance of the polynomial makes us realize how interconnected the world is. The roller coaster has the same structure as the financial models, which is equivalent to a shot of the cannon core — it sounds fantastic!

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Developing the theme of polynomials in our lives, I tried to come up with my examples of usage. The first of them belong to the category of biological disciplines, namely botany. Photosynthesis refers to the process of converting solar energy into the energy of chemical bonds, as a result of which the plant gets glucose and generates oxygen. As can be seen in Figure 1, the dependence of the intensity of photosynthesis on the temperature of the medium has a polynomial form. That is, using this diagram, it is possible to predict how quickly photosynthesis occurs in arid or icy places. The second example is statistics, where the normal Gauss distribution model is often used (Figure 2). A practical application of such a distribution can be an ecological pattern: an average feature (the average height of a person) is numerically more common than edge characteristics (low and high height). A third example would be chemistry, namely the use of a catalyst to accelerate reactions. As shown in Figure 3, a catalytic reaction requires less activation energy (barrier) than a normal reaction. Using already prepared reference diagrams, chemists can assess the feasibility and economic viability of using a catalyst.

Photosynthesis intensity versus medium temperature
Figure 1. Photosynthesis intensity versus medium temperature
 Statistical model of normal distribution
Figure 2. Statistical model of normal distribution
Level of activation energy for reactions with and without catalyst
Figure 3. Level of activation energy for reactions with and without catalyst

Reference

Maths With Jacob. (2017). Relevance of polynomials [Video]. YouTube.

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