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What does exponentially mean?

Looking for the meaning or definition of the word exponentially? Here's what it means.

Adverb
  1. (mathematics) In an exponential manner.
  2. (proscribed) rapidly, greatly
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With all that silicon and increasingly-programmable APIs, low-level GPU programming is growing exponentially more intricate.
Imagine tossing a coin until it lands heads-up, and suppose that the payoff grows exponentially according to the number of tosses you make.
The size of neuron clusters that we have successfully recreated in terms of functional equivalence is also scaling up exponentially.
Cosmetic surgery, the last resort of those who cannot hold on to their youth and beauty through diet and exercise, is expanding exponentially.
The harvest of mantas in eastern Indonesia has increased exponentially in just a few years.
Rather than ameliorating his problems, however, these gadgets multiplied his frustrations exponentially.

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