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The problems cover a range of advanced material in undergraduate mathematics, including concepts from group theory, set theory, graph theory, lattice theory, and number theory. [ 5 ] Each of the twelve questions is worth 10 points, and the most frequent scores above zero are 10 points for a complete solution, 9 points for a nearly complete ...
A candidate should have appeared for the Class XII (or equivalent) examination for the first time in either 2024 or 2025 with Physics, Chemistry, and Mathematics as compulsory subjects with a minimum of 75% aggregate marks or in the top 20 percentile in their 10+2 Board Examination conducted by their respective board for General,EWS and OBC ...
Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the Millennium Prize Problems, receive considerable attention. This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative, and the ...
Like the BMO1 paper, it is not designed merely to test knowledge of advanced mathematics but rather to test the candidate's ability to apply the mathematical knowledge to solve unusual problems and is an entry point to training and selection for the international competitions. BMO2 paper for the cycle 2021-22 attracted over 200 entries.
The exam has 60 multiple-choice questions (48 single-correct and 12 multi-correct), with a 2-hour time limit. It's held on the last Sunday of November, and the top 400 students (200 each, group A & group B) advance to the Indian National Physics Olympiad (INPHO). The syllabus aligns broadly with up to CBSE Standard 12 Physics.
In probability theory, the Borel–Cantelli lemma is a theorem about sequences of events.In general, it is a result in measure theory.It is named after Émile Borel and Francesco Paolo Cantelli, who gave statement to the lemma in the first decades of the 20th century.
The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.
Due to the relevance of arithmetic operations throughout mathematics, the influence of arithmetic extends to most sciences such as physics, computer science, and economics. These operations are used in calculations, problem-solving , data analysis , and algorithms, making them integral to scientific research, technological development, and ...