This is a dublicate if it's not all that much difficulty, answer the request as quick as possible I need it by 7:00 PST it's been more than 13hrs for the primary request

A) sort out which proportions of postage can be molded using just 3 - penny and 10 - penny stamps.

3,6,9,10,12,13,15,16,18,19,21,23,24,26,27,29,30,...,L*3+H*10

B) show your reaction to (A) using the head of mathematical acknowledgment. Make sure to state unequivocally your inductive hypothesis and the inductive advances.

A) sort out which proportions of postage can be formed using just 3 - penny and 10 - penny stamps.

3,6,9,10,12,13,15,16,18,19,21,23,24,26,27,29,30,...,L*3+H*10

B) exhibit your reaction to (A) using the head of mathematical selection. Make sure to state unequivocally your inductive hypothesis and the inductive advances.

This is a dublicate if it's not all that much difficulty, answer the request as quick as possible I need it by 7:00 PST it's been more than 13hrs for the primary request

expect that a store offers favoring confirmations and classes of $25 and $40. Choose the possible total entireties you can outline using these gift supports. Plan answer using strong selection.

Show that the families described in Examples 5.3.1,

5.3.2, 5.3.3, and 5.3.4 are believe it or not textures.

Model 5.3.1. Given an unbreakable number p, the p-adic consistency on Z

is delivered by the escorts of the design:

Dn = {(x, y) Z Z : x y mod pn}, n N \ {0}.

Model 5.3.2. The additional substance consistency on a topological vector space E, has a reason formed by escorts of the design:

{(x, y) E E : x y V }, where V is a neighborhood of the zero vector of E.

Model 5.3.3. The left consistency UL(G) on a topological bundle G, has a reason molded by organizations of the design:

{(x, y) G G : x1y V },

where V is a neighborhood of the character segment of G. Similarly,

the right consistency UR(G) is delivered by the organizations of the design: {(x,y)GG:xy1 V},

where V is a neighborhood of the character segment of G. Obviously, if G is an Abelian bundle, UL(G) and UR(G) blend.

Model 5.3.4. The (pseudo)metric consistency on a (pseudo)metric space (X, d) is delivered by the organizations

Vd := {(x, y) X X : d(x, y) < }, > 0.

Question1-:

(Channel made by a bunch of sets). Let S (X) be nonempty bunch of subsets of X, and let BS be the bunch of all restricted intersection points of parts of S (note that S BS). Show that BS is a justification a channel. Show that this channel is nontrivial if and just if S has the restricted union property.1 Moreover, exhibit that this is the smallest channel containing S. (Note that thus there exist families that are not contained in any nontrivial channel).

''VI''

Question2-:

Let F be a nontrivial on X. Exhibit that the follow-

ing declarations are same

1. F is a ultrafilter.

2. (AX)AF XA/F.

3. (A,BX)ABF AF or BF.