My problem with wget is here

T is element of Rational Numbers
(T is assumed to increase 1 hour or 1 day does not matter it is cron job)
Every K, L, M and N are element of Natural Numbers
and each K,L,M and N increas as T increases
(or they remains the same as T increases -ie processingFile[L] only changes with new
software version or according to code changes -)

T->Time
K->Site Category or directories
L->Name of different php files that does process or work(ie index.php or showTopic.php)
M->Different queryString to identify different forms of same content
N->contentIdentifier number

a dynamic site in the form of

www.dynamicSite.com/directory[K]/processingFile[L].php?query[M]=contentIdentifier[N]

should be transformed to a static offline format

www.offlineSite.com/whateverIndex[K,L,M,N].html or

www.offlineSite.com/directory[K,L,M,N]/index.html

with every new T change i want to run wget to add ONLY NEW CONTENT
content to offlineSite

How can i make it with wget?

(Sorry to write such a way i am a simple mathematician
who is not good at using daily life words -not smug -)

I don't understand how K, L, M, and N would get their values. Perhaps K and L have a base value, and as new directories are added to the online site, the range of possible values for K will increase. And for each value of K, the same can be said of L. So perhaps the first time, the run would like this:
And then a test for dynamicSite.com/directory1/processingFile2.php shows that it doesn't exist. Then we see if dynamicSite.com/directory2 exists. It doesn't, so we stop. The next run is:
(or not?), followed by checks for directory1/processingFile2.php and directory2. When these are found to exist, they are added to the regular runs.

Is this how these variables get their values?

yes u are right. base values can be 0 to mention the 1st content of the site.
www.dynamicSite.com/directory1/processingFile1.php?query1=contentIdentifier1
shows one content
and while nmbers change a new content comes to browser.
as time changes these content does not change
ie
http://www.linuxquestions.org/questions/newreply.php?do=newreply&noquote=1&p=2885585

will show this thread after many years.

all of K L M N changes by time. This means with a time, new content is
added to dynamicSite. To make things clear i did not add multiplication factors to K L M N according to time.(multiplication factors have random increments
(ie; at one new time unit people can add from zero new content to infinite new content to dynamicSite but this is not important for me, i only need a code that can understand the "newly added content" and add/transform those new content to offlineSite.com)

I found famous httrack software. It converts to .html and with a gui user can convert only newly added content to offlineSite.

I want exactly what httrack does with wget.

Of course i ll add a cron job that runs at time intervals i want to obtain
every newly added content.

hope to be clear.
i tried the advanced codes also at gnu.org's wget pages and codes at linuxquestions.org. But they fail to understand new added content.

I found some wget commands
this one seems fine but not enough
wget -m -k -K -E www.dynamicSite.com
i am not sure why it spoils character sets at my computer?