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[11] [12] While the reliability of Wikipedia was frequently criticized in the 2000s, it has improved over time, receiving greater praise from the late 2010s onward [3] [13] [14] while becoming an important fact-checking site. [15] [16] Articles on breaking news are often accessed as sources for frequently updated information about those events ...
The All India Senior School Certificate Examination (AISSCE), also called Class 12 Board Exams in common language, is the final examination conducted every year for high school students by the Central Board of Secondary Education on behalf of the Government of India.
This is often regarded as not only the most important work in geometry but one of the most important works in mathematics. It contains many important results in plane and solid geometry , algebra (books II and V), and number theory (book VII, VIII, and IX). [ 52 ]
Mathematical logic is the study of formal logic within mathematics.Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory).
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
Informally, a field is a set, along with two operations defined on that set: an addition operation written as a + b, and a multiplication operation written as a ⋅ b, both of which behave similarly as they behave for rational numbers and real numbers, including the existence of an additive inverse −a for all elements a, and of a multiplicative inverse b −1 for every nonzero element b.
For elliptic partial differential equations this matrix is positive definite, which has a decisive influence on the set of possible solutions of the equation in question. [86] The finite element method is an important numerical method to solve partial differential equations, widely applied in simulating complex physical systems. It attempts to ...
Decimal fractions like 0.3 and 25.12 are a special type of rational numbers since their denominator is a power of 10. For instance, 0.3 is equal to , and 25.12 is equal to . [20] Every rational number corresponds to a finite or a repeating decimal. [21] [c]