Determine whether the fuction is a homomorphism In each case below.pdf

•

0 likes•2 views

Determine whether the fuction is a homomorphism: In each case below, determine whether the function phi : G - > G\' is a homomorphism. If 0 is a homomorphism, find all elements in the kernel Ker phi of phi Let G = (a) be a cyclic group of order 12 and let G\' = (b) be a cyclic group of order 18. Define phi(aj) = b15j, 0 Solution I have written the answer on a paper and uploaded it as 3 pictures at the following links: PArt-1: http://i.imgur.com/7RRuPQv.jpg Part-2: http://i.imgur.com/pokxQ7z.jpg PArt-3: http://i.imgur.com/QgjFbry.jpg.

More from khetre12

Difference between terminal and instrumental values Solution Terminal Values: Terminal values are the goals that we work towards and view as most desirable. These values are desirable states of existence. They are the goals that we would like to achieve during our lifetime. Examples of Terminal Values are : Prosperous life, Exciting Life, Sense of accomplishment, A world at peace, Salvation, Self-Respect, Pleasure, Wisdom, True Friendship, Equality. Instrumental Values: Instrumental Values are the preferred methods of behavior. They can be thought of as a means to an end. Examples of Instrumental Values are being Ambitious, Broad-minded, Capable, Cheerful, Clean, helpful, Honest, Obedient, Loving, and Being responsible..

Difference between terminal and instrumental valuesSolutionTer.pdf

khetre12

Dictator Dim wants to replace counting, in particular, counting the population of his land. To keep an accurate population count, Dictator Dim has instructed his secretary to add one + symbol to a record each time a citizen is born, and one - symbol to the record whenever a citizen dies. This has been going on ever since his rule began. Dictator Dim is not concerned so much with the actual total population of his lands, just with the net change in population since his rule began. He would be forever disgraced if the net population change were ever negative. Refusing to solve this problem by counting, Dictator Dim instructs his secretary to find a sound and complete logic for the subset of all records that would not disgrace him. More formally, define the following truth concept WFF\'s = {+; -}, i.e., all strings composed of only plus and minus symbols. A WFF x is true if every prefix of x contains at least as many + symbols as - symbols. Find a logic for this truth concept by proving that it is sound and complete. Hint: it may help to define additional judgement form(s) Solution For each + in x, push a symbol onto a stack. For each - pop a symbol. If there is ever and attempt to pop an empty stack x is rejected. If not, then x is accepted. This can be implemented in a push-down automaton..

Dictator Dim wants to replace counting, in particular, counting the .pdf

khetre12

diagonalizable? If A DOES NOT have distinct eigenvalues, eg 2 eigenvalue not distinct but D=digonal(all eigenvlues of A) is linearly independent => det(D)=/= 0 in addition CD = AC Is A diagonalizable? Solution is not necessarily equal to A. For different nonsingular matrices P, the above expression will ... If A and B are similar matrices, then they have the same eigenvalues. ... A matrix A is diagonalizable if A is similar to a diagonal matrix D. ... Since the l\'s are distinct, the ci\'s must all be zero, which is a contradiction.

diagonalizable If A DOES NOT have distinct eigenvalues, eg 2 ei.pdf

khetre12

Develop a fully specified model of the factors that affect fundraising at a nonprofit, social services organization. Focus on different categories of factors that affect fundraising, and consider how some might be grouped as index variables. Solution Here are factors to consider when evaluating an organization\'s fundraising costs and returns. 1) A donor acquisition mailing will have a much lower return on investment than a donor renewal mailing. 2) A capital campaign will produce a much higher return on investment than an annual fund program. 3) A newly established planned giving program may have zero return on investment for the first few years. 4) The return on investment for a special event will be lower than that of a major gifts program. These are just a few factors that affect the cost of fundraising and make it difficult to evaluate a charity based solely on financial factors.

Develop a fully specified model of the factors that affect fundraisi.pdf

khetre12

Devron and Maxwell, investors in the Grand Corporation, are dissatisfied with their profit maximization theory of corporate objectives. These investors and others who look beyond dividends and profits may consider the triple bottom line, which does not include a corporation Solution 4. congressional lobbying activities. The TBL is an accounting framework that incorporates three dimensions of performance: social, environmental and financial. This differs from traditional reporting frameworks as it includes ecological (or environmental) and social measures that can be difficult to assign appropriate means of measurement. The TBL dimensions are also commonly called the three Ps: people, planet and profits.It will refer to these as the 3Ps..

Devron and Maxwell, investors in the Grand Corporation, are dissatis.pdf

khetre12

Determine whether therelation R onthe set of all people is reflexive, symmetric, antisymmetric,and/or transitive, where(a, b) elements ofRif and only if (a)a is tallerthan b. (b)a andb were born on thesame day. (c)a has the same firstname as b. (d) a and b have a commongrandparent. Solution (a) a is taller than b. (b) a and b were born on the sameday. it is equivalencerelation (c) a has the same first nameas b. (d) aand bhave a common grandparent..

Determine whether therelation R onthe set of all people is reflexive.pdf

khetre12

Determine whether the following sources of the U.S. comparative advantage are inherent or transferable. Not all of these have clear-cut answers. Briefly defend your position. A) Skills of the U.S. labor force B) U.S. governmental institutions C) U.S. Physical and technological infrastructure D) The English language E) Wealth from past production F) U.S. natural resources G) Cachet H) Interia I) U.S. intellectual property rights J) A relatively open immigration policy Solution A) Skills of the U.S. labor force It is inherent because it belongs to US human resource and it is human resource which cannot ne transferred. B) U.S. governmental institutions It is inherent as these institutions are meant to regulate and develop the various aspects of US economy and their roles are specifically defined. C) U.S. Physical and technological infrastructure Physical infrastructure is inherent but technological infrastructure is transferrable in one aspect that through licensing or know how, technology can be transferred for use in other economies to gain some advantage. D) The English language It is transferable because language has no geographical barrier. E) Wealth from past production It is inherent as it is meant for US economy only. F) U.S. natural resources It is also inherent as it is non transferrable. G) Cachet It is inherent feature of US comparative advantage H) Interia I) U.S. intellectual property rights It is tranferable as it can be reused by other parties through licensing and royalty. J) A relatively open immigration policy It is inherent because it is controlled by US authorities and no other country can interfere here..

Determine whether the following sources of the U.S. comparative adva.pdf

khetre12

Determine whether the events are independent or dependent. Then find.pdf

khetre12

Determine whether the following events are independent or dependent - being african american or any person of color raised in the poverty stricken part of a big city and going to college for higher education - growing up in beautiful pebble beach and going to college for higher education - randomly selected student from CA community colleges being successful in four year college and a randomly selected student from MA community colleges being successful in four year college Solution dependent dependent independent.

Determine whether the following events are independent or dependent.pdf

khetre12

Determine whether or not the existence-uniqueness theorem guarantees.pdf

khetre12

Determine two Numerical Techniques that are used to solve particular.pdf

khetre12

More from khetre12 (11)