if so; in that case; in that situation
root; source; origin; foundation; basis; essence
this way; this direction; here; this (one); I; me
somewhat; to some extent; to some degree; some; part; portion
to get into an argument; to come to discuss; to be controversial (usu. as an adjectival phrase); to be contentious
force; strength; capability; ability; efficacy; effect; effort
to borrow; to have a loan; to rent; to hire
et cetera; etc.; and the like; and so forth
foothold; footing; toehold; stepping stone
procedure; process; proceedings; formalities
anywhere; for all time; through thick and thin; come hell or high water; persistently; stubbornly
to continue without end; to go on to eternity
series; sequence; keiretsu (group); conglomeration of businesses linked by cross-shareholdings; affiliated; subsidiary
appearance; arrival; make one's appearance
final; eventual; ultimate
fraction (part of); decimal fraction
structure; construction; makeup; framework; organization; pattern
center; centre; middle; -centered; -centred; -focused
will; probably; may; I think; surely; I hope
hypothesis; supposition; assumption; tentative theory
to exert oneself; to make efforts
nowadays; in this day and age
just; right; pure; genuine; truth
pouring one's energy into; focusing one's efforts on; concentrating on; committing oneself to
basic overview; basic concept
skillful; adroit; craft; craftsmanship; plot; scheme
(arch.) bracelet (made of stringed jewels or bells and worn at the elbow); bracer (for the elbow of an archer)
ideal; ideal in a ring (i.e. subset of a ring closed under addition and multiplication by elements of the ambient ring)
taking a lecture; attending a class; taking a course
blood relative; close relation; (one's) flesh and blood; flesh and blood; the body
magnification; enlargement; expansion; amplification
to try; to attempt; to have a go (at something)
to go first; to take the lead; to lead the way
the world; society; sphere; circle; world-renowned; world-famous
prime factorization; prime decomposition
resemblance; similarity; likeness; analogy
remainder; remnant; (not) very; (not) much; too much; excessively
to remain; to be left over; to be in excess; to be too many
as it is; as one likes; because; condition; state