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Formal Formulations

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Formulate - The Formal Forming of Forms

The treatment of "Formal" concluded with a list of words which are directly Formed as grammatical cases of "Formal", and associated "Form" words. All such words actually begin as "Form..." and generally deal with a profound creative act, involving reverence and ceremony. With this as a background, The Homeless Mathematician will explore "The Form" of Forms.

Towards The Form, there is another class of "Form" words which are Formed by attaching a prefix to "...Form." They are presented below, along with a brief insight as to the Qualitys that they imply for the concept of "Form." Note that "-Form" itself may serve as a suffix, as indicated under the "Formal" discussion.

Within The Form, all mathematics will arise from the Initials of the Calculus. But, the mathematics is purely intellectual and does not directly address the operation of experiential Forms. If we are to draw a strong Analogy between the intellectual and the experiential realm of conscious experience, then The Form must respect The Convention of Intention

"What is not allowed is forbidden."

The kind reader may draw back from this Draconian sounding rule, but be assured that this will not hamper our development. What the The Form.

        conform --> You are with The Form.
        uniform -->              The Form is with you.
        perform -->      You are The Form.

         unform --> The Form is dissolved.
         deform --> The Form is violated.
         reform --> The Form is refined.

         inform --> What enters The Form.
        preform --> To Form for The Form.
      transform --> The Form as another Form.

On a more formal level, consider the formal dictionary definition of these "prefixed" Forms of the word "Form".


conform (ken-fôrm)

conform verb

  1. To correspond in form or character; be similar.
  2. To act or be in accord or agreement; comply.
  3. To act in accordance with current customs or modes.

conformed,
conforming,
conforms verb, intransitive

conform verb, transitive

  1. To bring into agreement or correspondence; make similar.

conformer noun


uniform (y¡ne-fôrm)

uniform adjective

  1. Always the same, as in character or degree; unvarying.
  2. Conforming to one principle, standard, or rule; consistent.
  3. Being the same as or consonant with another or others.
  4. Unvaried in texture, color, or design.

uniform noun

  1. A distinctive outfit intended to identify those who wear it as members of a specific group.
  2. One set of such an outfit.

uniform
uniformed,
uniforming,
uniforms verb, transitive

  1. To make (something) uniform.
  2. To provide or dress with a uniform.

uniformity noun
uniformness noun
uniformly adverb


perform (per-fôrm)

perform verb

  1. To begin and carry through to completion; do: The surgeon performed the operation.
  2. To take action in accordance with the requirements of; fulfill: perform one's contractual obligations.
  3. a. To enact (a feat or role) before an audience. b. To give a public presentation of; present: The theater group performed a three-act play.

performed,
performing,
performs verb, transitive

perform verb, intransitive

  1. To carry on; function: a car that performs well on curves.
  2. To fulfill an obligation or requirement; accomplish something as promised or expected.
  3. To portray a role or demonstrate a skill before an audience: The juggler performed atop a unicycle.
  4. To present a dramatic or musical work or other entertainment before an audience.

performable adjective
performer noun


unformed (ùn-fôrmd)

unformed adjective

  1. Having no definite shape or structure; unorganized.
  2. Not yet developed to maturity: "a headstrong, unformed young man" (Rod Nordland).
  3. Not yet given a physical existence; uncreated.


deform (dî-fôrm)

deform verb

  1. To spoil the natural form of; misshape: a body that had been deformed by disease.
  2. To spoil the beauty or appearance of; disfigure.
  3. Physics. To alter the shape of by pressure or stress.

deformed,
deforming,
deforms verb, transitive

deform verb, intransitive

  1. To become deformed.

deformability noun
deformable adjective


reform (rî-fôrm)

reform verb

  1. To improve by alteration, correction of error, or removal of defects; put into a better form or condition.
  2. a. To abolish abuse or malpractice in: reform the government. b. To put an end to (a wrong).
  3. To cause (a person) to give up harmful or immoral practices; persuade to adopt a better way of life.

reformed,
reforming,
reforms verb, transitive

reform verb, intransitive

  1. To change for the better.

reform noun

  1. A change for the better; an improvement.
  2. Correction of evils, abuses, or errors.
  3. Action to improve social or economic conditions without radical or revolutionary change.

reform adjective

  1. Relating to or favoring reform: a reform candidate for mayor.
  2. Reform. Of or relating to Reform Judaism.

reformability noun
reformable adjective
reformer noun


inform (în-fôrm)

inform verb

  1. a. To impart information to; make aware of something: We were informed by mail of the change in plans. The nurse informed me that visiting hours were over. b. To acquaint (oneself) with knowledge of a subject.
  2. To give form or character to; imbue with a Quality or an essence: "A society's strength is measured by . . . its ability to inform a future generation with its moral standards" (Vanity Fair).
  3. To be a pervasive presence in; animate: "It is this brash, backroom sensibility that informs his work as a novelist" (Jeff Shear).
  4. Obsolete. To form (the mind or character) by teaching or training.

informed,
informing,
informs verb, transitive

inform verb, intransitive

  1. To give or provide information.
  2. To disclose confidential or incriminating information to an authority: The defendant informed against the other members of the ring.


preform (prêfôrm)

preform verb

  1. To shape or form beforehand.
  2. To determine the shape or form of beforehand.

preformed,
preforming,
preforms verb, transitive

preform noun

  1. An object that has been subjected to preliminary, usually incomplete shaping or molding before undergoing complete or final processing.


transform (tràns-fôrm)

transform verb

  1. To change markedly the appearance or form of.
  2. To change the nature, function, or condition of; convert.
  3. Mathematics. To subject to a transformation.
  4. Linguistics. To subject (a construction) to a transformation.
  5. Electricity. To subject to the action of a transformer.
  6. Genetics. To subject (a bacterial cell) to transformation.

transformed,
transforming,
transforms verb, transitive

transform verb, intransitive

  1. To undergo a transformation.

transform noun

  1. The result, especially a mathematical quantity or linguistic construction, of a transformation.

transformable adjective

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Updated 95/11/04.