expand in the form of a series; "Develop the function in the following form"
grow, progress, unfold, or evolve through a process of evolution, natural growth, differentiation, or a conducive environment; "A flower developed on the branch"; "The country developed into a mighty superpower"; "The embryo develops into a fetus"; "This situation has developed over a long time"
cause to grow and differentiate in ways conforming to its natural development; "The perfect climate here develops the grain"; "He developed a new kind of apple"
be gradually disclosed or unfolded; become manifest; "The plot developed slowly";
elaborate by the unfolding of a musical idea and by the working out of the rhythmic and harmonic changes in the theme; "develop the melody and change the key"
grow emotionally or mature; "The child developed beautifully in her new kindergarten"; "When he spent a summer at camp, the boy grew noticeably and no longer showed some of his old adolescent behavior"
gain through experience; "I acquired a strong aversion to television"; "Children must develop a sense of right and wrong"; "Dave developed leadership qualities in his new position"; "develop a passion for painting"
move into a strategically more advantageous position; "develop the rook"
move one's pieces into strategically more advantageous positions; "Spassky developed quickly"
superimpose a three-dimensional surface on a plane without stretching, in geometry
generate gradually; "We must develop more potential customers"; "develop a market for the new mobile phone"
make something new, such as a product or a mental or artistic creation; "Her company developed a new kind of building material that withstands all kinds of weather"; "They developed a new technique"
make visible by means of chemical solutions; "Please develop this roll of film for me"
draw air into, and expel out of, the lungs; "I can breathe better when the air is clean"; "The patient is respiring"
reach full flavor by absorbing air and being let to stand after having been uncorked; "This rare Bordeaux must be allowed to breathe for at least 2 hours"
manifest or evince; "She breathes the Christian spirit"
utter or tell; "not breathe a word"
impart as if by breathing; "He breathed new life into the old house"
be alive; "Every creature that breathes"
allow the passage of air through; "Our new synthetic fabric breathes and is perfect for summer wear"
bring into being; "He initiated a new program"; "Start a foundation"
come into existence; take on form or shape; "A new religious movement originated in that country"; "a love that sprang up from friendship"; "the idea for the book grew out of a short story"; "An interesting phenomenon uprose"
begin a trip at a certain point, as of a plane, train, bus, etc.; "The flight originates in Calcutta"