Differ and Transform

verb

• Be different.
  • usage: "These two tests differ in only one respect"
• Be of different opinions.
  • usage: "I beg to differ"; "She disagrees with her husband on many questions"
  • synonyms: disagree, dissent, take issue

• (v.i.) To be or stand apart; to disagree; to be unlike; to be distinguished; -- with from.
• (v.i.) To have a difference, cause of variance or quarrel; to dispute; to contend.
• (v.t.) To cause to be different or unlike; to set at variance.
• (v.i.) To be of unlike or opposite opinion; to disagree in sentiment; -- often with from or with.

verb

• Subject to a mathematical transformation.
• Change or alter in form, appearance, or nature.
  • usage: "This experience transformed her completely"; "She transformed the clay into a beautiful sculpture"; "transubstantiate one element into another"
  • synonyms: transmute, transubstantiate
• Change in outward structure or looks.
  • usage: "He transformed into a monster"; "The salesman metamorphosed into an ugly beetle"
  • synonyms: transmute, metamorphose
• Change from one form or medium into another.
  • usage: "Braque translated collage into oil"
  • synonyms: translate
• Convert (one form of energy) to another.
  • usage: "transform energy to light"
• Change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species.
• Increase or decrease (an alternating current or voltage. ).

• (v.t.) To change, as an algebraic expression or geometrical figure, into another from without altering its value.
• (v.i.) To be changed in form; to be metamorphosed.
• (v.t.) To change into another substance; to transmute; as, the alchemists sought to transform lead into gold.
• (v.t.) To change the form of; to change in shape or appearance; to metamorphose; as, a caterpillar is ultimately transformed into a butterfly.
• (v.t.) To change in nature, disposition, heart, character or the like; to convert.

Transform is a process to change or convert. For example, a simple moving average is a filter to reduce noise; the moving average is the transform function.