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  1. Dictionary
    congruence
    /ˈkɒŋɡrʊəns/

    noun

    • 1. agreement or harmony; compatibility: "the results show quite good congruence with recent studies"

    More definitions, origin and scrabble points

  2. 3 days ago · Definition 1: Congruence Given two propositions P and Q, a congruence is defined as a relation that holds when the truth value of P is equivalent to the truth value of Q. Mathematically, this can be represented using the following formula in BODMAS format: P ≡ Q (mod 2)

  3. 5 days ago · From the basic concepts of triangles we know that the two triangles are said to be congruent if they are of the same shape and size whereas two triangles are said to be similar if they are of the same shape but can be of different sizes. Similar triangles have the same proportions.

  4. 3 days ago · The Chinese remainder theorem can be applied to systems with moduli that are not co-prime, but a solution to such a system does not always exist. Solve the system of congruences. \begin {cases}\begin {aligned} x &\equiv 5 \pmod {6} \\ x &\equiv 3 \pmod {8}. \\ \end {aligned}\end {cases} {x x ≡ 5 (mod 6) ≡ 3 (mod 8).

  5. 4 days ago · The p -adic expansion of a rational number is eventually periodic. Conversely, a series with converges (for the p -adic absolute value) to a rational number if and only if it is eventually periodic; in this case, the series is the p -adic expansion of that rational number.

  6. 2 days ago · Use congruence and similarity in geometric proofs. Solve problems involving angles in parallel lines and polygons. Explore the relationships between different geometric figures. 2. Key Terms and Definitions. Angle – The space between two intersecting lines or surfaces measured in degrees. Triangle – A polygon with three edges and three ...

  7. 5 days ago · the quality of agreeing; being suitable and appropriate.

  8. 5 days ago · science, any system of knowledge that is concerned with the physical world and its phenomena and that entails unbiased observations and systematic experimentation. In general, a science involves a pursuit of knowledge covering general truths or the operations of fundamental laws.