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Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting with the 0th triangular number, is
[39] [40] The factorial number system is a mixed radix notation for numbers in which the place values of each digit are factorials. [41] Factorials are used extensively in probability theory, for instance in the Poisson distribution [42] and in the probabilities of random permutations. [43]
The Fraction class in the fractions module provides arbitrary precision for rational numbers. [129] Due to Python's extensive mathematics library, and the third-party library NumPy that further extends the native capabilities, it is frequently used as a scientific scripting language to aid in problems such as numerical data processing and ...
The transformation of a linear program to one in standard form may be accomplished as follows. [16] First, for each variable with a lower bound other than 0, a new variable is introduced representing the difference between the variable and bound. The original variable can then be eliminated by substitution. For example, given the constraint
It was not university Marxism, it was not the Marxism of concrete analysis, it was not the history of Mexico, it was not the fundamentalist and millenarian indigenous thought and it was not the indigenous resistance. It was a mixture of all of this, a cocktail which was mixed in the mountain and crystallized in the combat force of the EZLN… [368]
Haematoxylin (hematoxylin in North America) is a nuclear stain. [10] Used with a mordant, haematoxylin stains nuclei blue-violet or brown. [10] It is most often used with eosin in the H&E stain (haematoxylin and eosin) staining, one of the most common procedures in histology. [10]
A seemingly simple question about the number of words in the English language immediately encounters questions about archaic forms, accounting for prefixes and suffixes, multiple definitions of a word, variant spellings, dialects, fanciful creations (like ectoplastistics from ectoplasm and statistics), [10] technical vocabulary, and so on.
As part of their adaptation from marine life, terrestrial plants began producing non-marine antioxidants such as ascorbic acid (), polyphenols, and tocopherols.The evolution of angiosperm plants between 50 and 200 million years ago resulted in the development of many antioxidant pigments – particularly during the Jurassic period – as chemical defences against reactive oxygen species that ...