exponentially

comparative more exponentially · superlative most exponentially

1. mathematicsIn an exponential manner.

   But every known algorithm for this problem requires a number of steps that increases exponentially as n increases.

   1992, Clark Glymour, Thinking Things Through: An Introduction to Philosophical Issues and Achievements, MIT Press, published 1997, →ISBN, page 333

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   Therefore, if absorption causes an attenuation of the oscillation amplitude, the temperature must decrease exponentially with increasing thickness.

   2000, Shuji Nakamura et al., The Blue Laser Diode: The Complete Story, Second Revised and Enlarged Edition, Springer, →ISBN, page 69

   It can be readily derived from Eqs. 6.26 and 6.32 that the field generated by these incident evanescent waves inside the slab do ^([sic]) not decay away exponentially from the upper interface, but increases exponentially as y decreases.

   2008, Henri Benisty et al., Photonic Crystals: Towards Nanoscale Photonic Devices, Second Edition, Springer, →ISBN, page 216

2. proscribedrapidly, greatly

   The more serious a Christian is about God's kingdom, the more exponentially complicating that venture is […]

   2007, Michael Glenn Maness, Would You Lie to Save a Life: Love Will Find a Way Home, page 357

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   He'd felt like Kathryn's soul was in her eyes as she'd regarded him for those precious few seconds... and her spirit was even more exponentially beautiful than […]

   2008, Beth Kery, Take a Stranger No More, page 27