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fast is rapid

rapid response

rapid growth

rapid change

fast may mean robust

robust system

robust growth

robust performance

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fast signifies prompt

prompt response

prompt reply

prompt payment

prompt shipment

fast is expeditious

expeditious treatment

expeditious manner

expeditious handling

as expeditiously as possible

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in order to become fast one must first accelerate

accelerated growth

accelerated progress

accelerated depreciation

accelerate is expedite

expedited reporting

expedited delivery

expedited hearing

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accelerate is facilitate

facilitate discussion

facilitate communication

facilitated workshop

accelerate is intensify

intensify efforts

intensify its focus on

intensifying competition

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when you accelerate something you energize it

energized circuit

energized electrical equipment

someone full of energy is energetic

accelerate it means to stimulate it

Light Amplification by Stimulated Emission of Radiation (LASER)

stimulate consumption

stimulate debate