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Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional vector space. For a more general coefficient ring, the same construction works if we take the free module on n generators. The construction of the free algebra on E is functorial in nature and satisfies an appropriate universal property.
Over months, millions of real student questions were analyzed and classified. Then the app uses that data to guess on future questions and provide specific education content. [5] [6] The app works by letting students take a photo of a homework question, [7] a feature that was later added to Google Lens.
What Works Clearinghouse ( or WWC ) [4] reviewed the evidence in support of the Everyday Mathematics program. Of the 61 pieces of evidence submitted by the publisher, 57 did not meet the WWC minimum standards for scientific evidence, four met evidence standards with reservations, and one of those four showed a statistically significant positive effect.
Connected Mathematics is a comprehensive mathematics program intended for U.S. students in grades 6–8.The curriculum design, text materials for students, and supporting resources for teachers were created and have been progressively refined by the Connected Mathematics Project (CMP) at Michigan State University with advice and contributions from many mathematics teachers, curriculum ...
Core-Plus Mathematics, CCSS Edition. Core-Plus Mathematics is a high school mathematics program consisting of a four-year series of print and digital student textbooks and supporting materials for teachers, developed by the Core-Plus Mathematics Project (CPMP) at Western Michigan University, with funding from the National Science Foundation.
Tomlin's group can slot in as the No. 3, 5, or 6 seed when the dust settles, setting up some uncertainty regarding their first-round opponents heading into Week 18.
But Uber notified drivers last week it’s lowering the credit to $16.06 for “peak-hour” trips and $14.06 during off-peak hours. “Due to Congestion Pricing and other rising costs, starting ...
Modules of this type are called free and if R has invariant basis number (e.g. any commutative ring or field) the number n is then the rank of the free module. If M n ( R ) is the ring of n × n matrices over a ring R , M is an M n ( R )-module, and e i is the n × n matrix with 1 in the ( i , i ) -entry (and zeros elsewhere), then e i M is an ...
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