Query: In particular, PMOD alters the data from the Nimbus7/ERB record from 1989 to 1991.

Relevant passages:
International Standard Book Number <=SEP=> The International Standard Book Number ( ISBN ) is a unique numeric commercial book identifier .   An ISBN is assigned to each edition and variation ( except reprintings ) of a book . For example , an e-book , a paperback and a hardcover edition of the same book would each have a different ISBN . The ISBN is 13 digits long if assigned on or after 1 January 2007 , and 10 digits long if assigned before 2007 . The method of assigning an ISBN is nation-based and varies from country to country , often depending on how large the publishing industry is within a country .   The initial ISBN configuration of recognition was generated in 1967 based upon the 9-digit Standard Book Numbering ( SBN ) created in 1966 . The 10-digit ISBN format was developed by the International Organization for Standardization ( ISO ) and was published in 1970 as international standard ISO 2108 ( the SBN code can be converted to a ten digit ISBN by prefixing it with a zero ) .   Occasionally , a book may appear without a printed ISBN if it is printed privately or the author does not follow the usual ISBN procedure ; however , this can be rectified later .   Another identifier , the International Standard Serial Number ( ISSN ) , identifies periodical publications such as magazines ; and the International Standard Music Number ( ISMN ) covers for musical scores .

Legendre symbol <=SEP=> In number theory , the Legendre symbol is a multiplicative function with values 1 , − 1 , 0 that is a quadratic character modulo an odd prime number p : its value on a ( nonzero ) quadratic residue mod p is 1 and on a non-quadratic residue ( non-residue ) is − 1 . Its value on zero is 0 .   The Legendre symbol was introduced by Adrien-Marie Legendre in 1798 in the course of his attempts at proving the law of quadratic reciprocity . Generalizations of the symbol include the Jacobi symbol and Dirichlet characters of higher order . The notational convenience of the Legendre symbol inspired introduction of several other `` symbols '' used in algebraic number theory , such as the Hilbert symbol and the Artin symbol .

Chinese remainder theorem <=SEP=> The Chinese remainder theorem is a theorem of number theory , which states that , if one knows the remainders of the division of an integer by several integers , then one can determine uniquely the remainder of the division of by the product of these integers , under the condition that the divisors are pairwise coprime .   This theorem has this name because it is a theorem about remainders and was first discovered in the 3rd century AD by the Chinese mathematician Sunzi in Sunzi Suanjing .   The Chinese remainder theorem is widely used for computing with large integers , as it allows replacing a computation for which one knows a bound on the size of the result by several similar computations on small integers .   The Chinese remainder theorem ( expressed in terms of congruences ) is true over every principal ideal domain . It has been generalized to any commutative ring , with a formulation involving ideals .

Modular multiplicative inverse <=SEP=> In mathematics , in particular , the area of number theory , a modular multiplicative inverse of an integer is an integer such that the product is congruent to 1 with respect to the modulus . In the standard notation of modular arithmetic this congruence is written as   which is the shorthand way of writing the statement that divides ( evenly ) the quantity , or , put another way , the remainder after dividing by the integer is 1 . If does have an inverse modulo there are an infinite number of solutions of this congruence which form a congruence class with respect to this modulus . Furthermore , any integer that is congruent to ( i.e. , in 's congruence class ) will have any element of 's congruence class as a modular multiplicative inverse . Using the notation of to indicate the congruence class containing , this can be expressed by saying that the modulo multiplicative inverse of the congruence class is the congruence class such that :   where the symbol denotes the multiplication of equivalence classes modulo .  Written in this way the analogy with the usual concept of a multiplicative inverse in the set of rational or real numbers is clearly represented , replacing the numbers by congruence classes and altering the binary operation appropriately .   As with the analogous operation on the real numbers , a fundamental use of this operation is in solving , when possible , linear congruences of the form ,   Finding modular multiplicative inverses also has practical applications in the field of cryptography , i.e. public-key cryptography and the RSA Algorithm . A benefit for the computer implementation of these applications is that there exists a very fast algorithm ( the extended Euclidean algorithm ) that can be used for the calculation of modular multiplicative inverses .   In mathematical theory , assumptions about the properties of binary operators ( for example the associative property and the commutative property ) are often used as axioms in fields of study such as number theory and also two sub-disciplines of abstract algebra , group theory and ring theory .

Solar irradiance <=SEP=> Solar irradiance is the power per unit area received from the Sun in the form of electromagnetic radiation in the wavelength range of the measuring instrument . Irradiance may be measured in space or at the Earth 's surface after atmospheric absorption and scattering . It is measured perpendicular to the incoming sunlight . Total solar irradiance ( TSI ) , is a measure of the solar power over all wavelengths per unit area incident on the Earth 's upper atmosphere . The solar constant is a conventional measure of mean TSI at a distance of one astronomical Unit ( AU ) . Irradiance is a function of distance from the Sun , the solar cycle , and cross-cycle changes . Irradiance on Earth is also measured perpendicular to the incoming sunlight . Insolation is the power received on Earth per unit area on a horizontal surface . It depends on the height of the Sun above the horizon .