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polegajcym

Polegajcym is not a separate lexical entry in standard Polish; it is a non-diacritic representation often encountered in ASCII texts for the present participle form polegający/polegającego of the verb polegać, meaning to rely on or to be based on. In correct, diacritic-rich Polish, the instrumental singular masculine form is polegającym, and the related feminine form is polegającą. The form polegajcym would be considered a misspelling or an ASCII approximation of polegającym.

Polegajacy, polegający and their declined forms function as adjectives or participles derived from polegać. They describe

Usage notes: polegający is declined like an adjective, with masculine singular instrumental form polegającym, feminine singular

In summary, polegajcym is an unofficial ASCII rendition of the standard Polish form polegającym, used to describe

something
that
rests
on
or
consists
of
a
given
condition
or
principle.
The
common
construction
is
polegający
na
czymś,
meaning
“based
on
something”
or
“relying
on
something.”
For
example:
System
polegający
na
analizie
danych
(A
system
based
on
data
analysis);
Czynność
polegająca
na
ręcznym
wprowadzaniu
danych
(An
activity
consisting
of
manual
data
entry).
In
questions,
one
might
ask
Na
czym
polega
ten
system?
(What
does
this
system
rely
on
/
how
does
this
system
work?)
instrumental
polegającą,
neuter
forms
analogously.
It
is
important
to
preserve
diacritics
in
standard
Polish;
ASCII
variants
such
as
polegajcym
are
not
considered
correct
standard
spellings
and
may
be
found
only
in
non-edited
texts
or
pasting
errors.
something
that
is
based
on
or
relies
on
something
else.
See
also
polegać
and
polegać
na.