The phrase "extended form of" is correct and usable in written English.
You can use it to refer to something that is in an expanded or amplified form, or a longer version of something that is shorter or more concise. For example, "The extended form of the short story includes several more chapters and additional plot points that weren't present in the original."
IF, as Jeanette Winterson once wrote, "I love you" is always a quotation, then having an extramarital affair may seem an extended form of plagiarism.
Persian literature, body of writings in New Persian (also called Modern Persian), the form of the Persian language written since the 9th century with a slightly extended form of the Arabic alphabet and with many Arabic loanwords.
An extended form of the principle of virtual work is utilized.
The latter two alternatives might be considered versions of a weaker or extended form of "double truth".
A statistically extended form of the GB decomposition method was implemented that can separately treat frequencies, sites, and profiles (McNeice and Jones 2001).
For this extended form of the von Kármám problem, the homotopy analysis method, however, produced secular terms in the series solution.
We prove two consequences of the detailed balance for these mechanisms: the structural condition and the algebraic condition that form together the extended form of detailed balance.
In case you've forgotten your high school and college English classes, a metaphor compares two seemingly unrelated things (like simply saying your love is a rose) and an analogy is a more complex, extended form of comparison.
Subsequent sequencing of the PCR products revealed that the human ERp90 gene in both cell lines indeed does encode for a C-terminally extended form of the protein (data not shown).
We call this topology an extended form of (AB)(CD) type gene topology in which six genes form two clusters, i.e. (ABC)(DEF).
It becomes an extended form of meditation".
