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2. Dual basis in a field extension - Wikipedia

   en.wikipedia.org/wiki/Dual_basis_in_a_field...

   Using a dual basis can provide a way to easily communicate between devices that use different bases, rather than having to explicitly convert between bases using the change of bases formula. Furthermore, if a dual basis is implemented then conversion from an element in the original basis to the dual basis can be accomplished with multiplication ...

3. Matrix multiplication algorithm - Wikipedia

   en.wikipedia.org/wiki/Matrix_multiplication...

   The definition of matrix multiplication is that if C = AB for an n × m matrix A and an m × p matrix B, then C is an n × p matrix with entries = =. From this, a simple algorithm can be constructed which loops over the indices i from 1 through n and j from 1 through p, computing the above using a nested loop:

4. Matrix multiplication - Wikipedia

   en.wikipedia.org/wiki/Matrix_multiplication

   Matrix multiplication shares some properties with usual multiplication. However, matrix multiplication is not defined if the number of columns of the first factor differs from the number of rows of the second factor, and it is non-commutative, [10] even when the product remains defined after changing the order of the factors. [11] [12]

5. Matrix similarity - Wikipedia

   en.wikipedia.org/wiki/Matrix_similarity

   Because matrices are similar if and only if they represent the same linear operator with respect to (possibly) different bases, similar matrices share all properties of their shared underlying operator: Rank; Characteristic polynomial, and attributes that can be derived from it: Determinant; Trace; Eigenvalues, and their algebraic multiplicities

6. Computational complexity of matrix multiplication - Wikipedia

   en.wikipedia.org/wiki/Computational_complexity...

   In theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of matrix multiplication can be performed. Matrix multiplication algorithms are a central subroutine in theoretical and numerical algorithms for numerical linear algebra and optimization, so finding the fastest algorithm for matrix multiplication is of major practical ...

7. 10 Things In Your Kitchen To Toss Immediately, According To ...

   www.aol.com/10-things-kitchen-toss-immediately...

   “Here is a useful formula for determining how many to keep: (Number of people who use mug/water bottle ) × (number of mugs they use a day) then X that by (one + the number of days between ...

8. NBA unveils new format for 2025 All-Star Game featuring four ...

   www.aol.com/nba-unveils-format-2025-star...

   The NBA on Tuesday unveiled a new format for the 2025 All-Star Game scheduled for Feb. 16 in San Francisco. To generate a more competitive game, this season’s All-Star Game will feature a mini ...

9. Computational complexity of mathematical operations - Wikipedia

   en.wikipedia.org/wiki/Computational_complexity...

   Graphs of functions commonly used in the analysis of algorithms, showing the number of operations versus input size for each function. The following tables list the computational complexity of various algorithms for common mathematical operations.