TM01 mode doesn't exist because If anyone of the two (m or n)
becomes 0 then the z component of electric field that is Ezs becomes zero which in turn makes all the other components (Exs, Eys, Hxs, Hys) vanish.
you don't have any component of field for this configuration.
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Yes. Write down 4 rows of 3 dots or 3 rows of 4 dots.
how i can identified and describe number patterns
There need not be any patterns at all.
One advantage of graphing daa in general is to see patterns. Many types of graphs will show patterns. Line graphs are excellent for seeing patterns and trends.
they are patterns that goes by vowel like vampire you say vam pire