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Mathematics
We face difficulties when solving some algebraic problems (equations, inequalities, systems of inequalities, etc.). Therefore, we investigated the solution of such problems. We have come to…
Mathematics
The aim of this research is to reveal the pattern of Mersenne Primes. Therefore, I focused on revealing the pattern of power residues of 2 modulo a prime. Mersenne Primes tend to break the r…
Mathematics
This study presents the coloring of knot and link diagrams that satisfies certain conditions. For p-colorability, each crossing leads to a linear congruence: therefore a diagram with n cross…
Mathematics
Quantum computing will be the most powerful computing way within 30 years due to the quantum superposition state. Recent studies are mainly focused on the principle or hardware of it, and th…
Mathematics
The perimeter of an ellipse is very difficult to calculate, although it may not seem like it. There are many formulas that approximate the calculation to fairly exact values, but there is no…
Mathematics
Anthracnose, a disease mostly found in various mangos, is caused by a fungus, Colletotrichum gloeosporioides. The infected mangos are usually discarded by farmers. This project studied the r…
Mathematics
This research presents the systematization of patterns in the Gregorian calendar relating the dates and days of the week. After this observation, the Ammer quotient was deduced, in which the…
Mathematics
In my research, I redefined the Hardy- Ramanujan Formula that was created in 1917. This formula is used to depict the numbers of ways any integer can be split up, known as integer partitions…
Mathematics
Fourth Award
Estimating the quickest path from A to B is the aim of mapping software such as Google Maps which calculate route times using parameters such as road size, real-time traffic density and hist…