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2. Characterization (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Characterization_(mathematics)

   In mathematics, a characterization of an object is a set of conditions that, while possibly different from the definition of the object, is logically equivalent to it. [1] To say that "Property P characterizes object X " is to say that not only does X have property P , but that X is the only thing that has property P (i.e., P is a defining ...

3. Figurate number - Wikipedia

   en.wikipedia.org/wiki/Figurate_number

   For example, when transforming the 7-square to the 8-square, we add 15 elements; these adjunctions are the 8s in the above figure. This gnomonic technique also provides a mathematical proof that the sum of the first n odd numbers is n 2; the figure illustrates 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64 = 8 2.

4. Photomath - Wikipedia

   en.wikipedia.org/wiki/Photomath

   Photomath is an educational technology mobile app, owned by Google.It features a computer algebra system with an augmented optical character recognition system, designed for use with a smartphone's camera to scan and recognize mathematical equations; the app then displays step-by-step explanations onscreen.

5. Principles and Standards for School Mathematics - Wikipedia

   en.wikipedia.org/wiki/Principles_and_Standards...

   The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]

6. Character (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Character_(mathematics)

   A multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of a field , usually the field of complex numbers. If G is any group, then the set Ch( G ) of these morphisms forms an abelian group under pointwise multiplication.

7. US manufacturing output rebounds less than expected in November

   www.aol.com/news/us-manufacturing-output...

   Capacity utilization for the industrial sector, a measure of how fully firms are using their resources, dropped to 76.8% from 77.0% in October. It is 2.9 percentage points below its 1972–2023 ...