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In this example, we'll look at how to use SpEL in XML-based configuration. Expressions can be used to reference beans or bean fields/methods. For example, suppose we have the following classes

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Our ﬁrst problem is Solve the congruence ax ≡ b mod N. Consider, for example, the congruence 1234x ≡ 1 mod 54321. It is easy to tell whether a given x satifsﬁes the congruence. For example, if x = 199 we compute 1234×199 = 245566, then compute the remainder when we divide 245566 by 54321. The result is 28282.

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Modular numbers (equivalence classes mod m) Definition: if a, m ∈ Z then [a] m (called the equivalence class of a mod m) is the set of all integers that are congruent to a, mod m. Often times m will be clear from context, in which case I will omit it and just write [a]. Example: If we are working mod 5, then [2]=[7]=[12]=[−3]=[−8]. All of ...

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This video introduces the notion of congruence modulo n with several examples. Multiplication Modulo Example Watch More Videos at: www.tutorialspoint.com/videotutorials/index.htm Lecture By...

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If the number x is a solution of some congruence modulo m, then any number of the form x + km, where k is an integer, is also a solution of the congruence. A set of numbers of the form x + km, where k =...,–1,0,1,..., is called a residue class modulo m.

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For every +1 year, output increases +1 (modulo 7). If you look at the formula, you can see that the third term in the bracket is just Y . If you familiar with the Gregorian Calendar, you will know that the orbital period of the Earth around the Sun is not 365 days, but closer to 365.2425 days (for more details on the background of this, read ...