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s look at an example I want to write an application that reports the course scores to you Requirements Every student can only get hisher score Maintain all students scores in a file Local commandline operation. We have the following linear maps unity multiplication inverse counity comultiplication satisfying the axioms for a commutative cocommutative Hopf algebra over Recall that is a projective module of 64257nite rank Let Hom Dualizing the structure ma Input 1 Desired Output Invert System Model Prior Knowledge brPage 5br The InversionProblem Input Desired Output Invert the known system model 0 to find input Input 1 Desired Output Invert System Model Prior Knowledge His Mom knows how she ha Let be a basis for and let be the matrix for with respect to the basis Thus 1 ij so the th column of records This is the standard convention for talking about vector spaces over a 64257eld To make these conventions coincide with Hungerford con Let denote the function de64257ned as follows First de64257ne a four parameter function by xyztabcd 2 43 Then xyzt 1 sin xyzt 1237566 54783217 1237896431 325123467 37 xyzt 5674235 4067231567 13245678 3748967543 2 xyzt 3867435523 7134893 75 35658 Put d inf 8712C inf Let denote the collection of metrics on of the form x for some map and let denote the collection of metrics on such that Xd embeds isometrically in It is easy to verify that C8834N and so d If is 64257nite with cardinali 112 12 Let denote the set of positive real numbers De64257ne the operation of scalar multiplication denoted by for each and for any real number De64257ne the operation of addition denoted by for all x Let H denotes the event that husband earns more than 25000 W denotes the event that wife earns more than 25000 a What we need to compute is 21236 500 0 496 b What we need to compute is WH 54 500 496 14 Let him come! (Jussive)Veniamus! Let 1 2 LET'S GET STARTED...LET'S GET STARTED...The easiest way to reuse materials that would otherwise go into the trash is to keep andreuse them for their original purposes. Here are some suggestions:( [Counter-tenor][Tenor][Tenor]Bass
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