Transform and Difference

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.

noun

• The quality of being unlike or dissimilar.
  • usage: "there are many differences between jazz and rock"
• A variation that deviates from the standard or norm.
  • usage: "the deviation from the mean"
  • synonyms: deviation, divergence, departure
• A disagreement or argument about something important.
  • usage: "he had a dispute with his wife"; "there were irreconcilable differences"; "the familiar conflict between Republicans and Democrats"
  • synonyms: dispute, difference of opinion, conflict
• A significant change.
  • usage: "the difference in her is amazing"; "his support made a real difference"
• The number that remains after subtraction; the number that when added to the subtrahend gives the minuend.
  • synonyms: remainder

• (n.) An addition to a coat of arms to distinguish the bearings of two persons, which would otherwise be the same. See Augmentation, and Marks of cadency, under Cadency.
• (n.) The quality or attribute which is added to those of the genus to constitute a species; a differentia.
• (n.) The act of differing; the state or measure of being different or unlike; distinction; dissimilarity; unlikeness; variation; as, a difference of quality in paper; a difference in degrees of heat or of light; what is the difference between the innocent and the guilty?.
• (n.) That by which one thing differs from another; that which distinguishes or causes to differ; mark of distinction; characteristic quality; specific attribute.
• (v.t.) To cause to differ; to make different; to mark as different; to distinguish.
• (n.) Disagreement in opinion; dissension; controversy; quarrel; hence, cause of dissension; matter in controversy.
• (n.) Choice; preference.
• (n.) The quantity by which one quantity differs from another or the remainder left after subtracting the one from the other.