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PROCEDURE. 1. Begin by rewriting the first congruence as an equation: x = 2a + 1, ∀a ∈ Z. 2. Rewrite the second congruence as an equation, and set the equation found in the first step equal to this equation, since x will substitute the x in the second congruence: x ≡ 2 (mod 3) x = 2a + 1 ≡ 2 (mod 3) 2a ≡ 1 (mod 3)
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS. It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA). Excel forms part of the Microsoft 365 suite of software.
Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression . These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...
Failure mode effects and criticality analysis ( FMECA) is an extension of failure mode and effects analysis (FMEA). FMEA is a bottom-up, inductive analytical method which may be performed at either the functional or piece-part level. FMECA extends FMEA by including a criticality analysis, which is used to chart the probability of failure modes ...
Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...
Cloud and on-line spreadsheets. Collabora Online Calc — Enterprise-ready LibreOffice. [ 1] EtherCalc [ 2] (successor to SocialCalc, which is based on wikiCalc) LibreOffice Online Calc. ONLYOFFICE - Community Server Edition. Sheetster – "Community Edition" is available under the AGPL. Simple Spreadsheet.
The Turabay dynasty was a family of Bedouin emirs who governed the district of Lajjun in northern Palestine during Ottoman rule in the 16th–17th centuries. The family's forebears had served as chiefs of Jezreel Valley during Mamluk rule in the late 15th century. During the Ottoman conquest of the region in 1516–1517, the family aided ...