Maxine 55 Year Old Birthday Cards

Hi!

As you see, is me now on the Internet!
Recently I moved to the beautiful city of Aachen. Much is new and there is much to tell:

For various reasons I've decided to start at the very beginning ... where Prizip of induction:

The principle of mathematical induction is usually applied to statements about the natural numbers to prove it. The procedure is as follows: first

Step:
setting the statement A (n): Here is
clearly formulated, which statement to the principle of complete induction is to be proved.

second Step
induction Start:
is for n = 1, the truth of the statement A (n) is shown. The statement is not to show for all n from IN , but, for example, for n> or = 5, then the truth of the statement for the first n, shown in this case for n = 5.

third Step
induction hypothesis:
For the further evidence put forward that the statement A (n) for n from IN is true. A common formulation is: Let A (n) is true for an n of IN .

Step 4:
inductive claim:
Assuming that A (n) is true for some n is from IN said that so is A (n +1) is true. This claim must be shown in this step. This procedure is such that the statement A (n +1) is expressed by forming a shape that makes it possible to use the induction hypothesis. By further transformations can then be proved the assertion A (n + 1).

5th Step
induction conclusion:
means of the induction principle has been through the first four steps, the statement A (n) for all n from IN proved. A common formulation of this is: By induction principle it follows that A (n) is true for all n from IN .