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It is the science of learning from data and communicating uncertainty. There are two branches in statistics: ‘Descriptive statistics’’ and ‘’ Inferential statistics. Descriptive statistics involves methods of organizing, picturing and summarizing information from data.
Compared to a traditional U.S. math curriculum, Singapore math focuses on fewer topics but covers them in greater detail. [3] Each semester-level Singapore math textbook builds upon prior knowledge and skills, with students mastering them before moving on to the next grade.
a 1 = 2, a 2 = 4, a 3 = 8,... The sequence of forward differences is then Δa 0 = a 1 − a 0 = 2 − 1 = 1, Δa 1 = a 2 − a 1 = 4 − 2 = 2, Δa 2 = a 3 − a 2 = 8 − 4 = 4, Δa 3 = a 4 − a 3 = 16 − 8 = 8,... which is just the same sequence. Hence the iterated forward difference sequences all start with Δ n a 0 = 1 for every n. The ...
Communication technologies apply branches of mathematics that may be very old (e.g., arithmetic), especially with respect to transmission security, in cryptography and coding theory. Discrete mathematics is useful in many areas of computer science, such as complexity theory , information theory , and graph theory . [ 138 ]
Matrix multiplication was first described by the French mathematician Jacques Philippe Marie Binet in 1812, [2] to represent the composition of linear maps that are represented by matrices. Matrix multiplication is thus a basic tool of linear algebra , and as such has numerous applications in many areas of mathematics, as well as in applied ...
[56] [e] Roots are a special type of exponentiation using a fractional exponent. For example, the square root of a number is the same as raising the number to the power of 1 2 {\displaystyle {\tfrac {1}{2}}} and the cube root of a number is the same as raising the number to the power of 1 3 {\displaystyle {\tfrac {1}{3}}} .
In the maximum-2-satisfiability problem (MAX-2-SAT), the input is a formula in conjunctive normal form with two literals per clause, and the task is to determine the maximum number of clauses that can be simultaneously satisfied by an assignment.
Batik designs have a fractal dimension between 1 and 2, varying in different regional styles. For example, the batik of Cirebon has a fractal dimension of 1.1; the batiks of Yogyakarta and Surakarta (Solo) in Central Java have a fractal dimension of 1.2 to 1.5; and the batiks of Lasem on the north coast of Java and of Tasikmalaya in West Java ...