exponential love

exponential

Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

• adjective Of or relating to an exponent.
• adjective Containing, involving, or expressed as an exponent.
• adjective Expressed in terms of a designated power of e, the base of natural logarithms.

from The Century Dictionary.

• Of or pertaining to an exponent or exponents; involving variable exponents.
• noun The function expressed by the infinite series 1 + x + ½x + ⅙x +, etc., or the Napierian base raised to the power indicated by the variable. Thus, ex = exp. x is the exponential of x.

from the GNU version of the Collaborative International Dictionary of English.

• adjective Pertaining to exponents; involving variable exponents
• adjective changing over time in an exponential manner, i. e. increasing or decreasing by a fixed ratio for each unit of time.
• adjective a curve whose nature is defined by means of an exponential equation.
• adjective an equation which contains an exponential quantity, or in which the unknown quantity enters as an exponent.
• adjective (Math.) a quantity whose exponent is unknown or variable, as ax.
• adjective a series derived from the development of exponential equations or quantities.

• adjective Relating to an exponent.
• adjective mathematics Expressed in terms of a power of e.
• adjective In modern English, used to describe a high or rapid rate of change.
• noun mathematics Any function that has an exponent as an independent variable.

• adjective of or involving exponents
• noun a function in which an independent variable appears as an exponent

Etymologies

Sorry, no etymologies found.

Examples

• I use the term exponential to refer to compounding's effect to set it off from those who use linear or arithmetic models.

• I use the term exponential to refer to compounding's effect to set it off from those who use linear or arithmetic models.

Life of Brian: 2005

• MCINTYRE (voice-over): Citing what he calls the exponential rise in the number of deaths, both U.S. and Iraqi, along with the failure of the government of Prime Minister Nouri al Maliki to disarm the warring militias, Republican Senator John Warner is sounding a dire warning.

• JAMIE MCINTYRE, CNN SENIOR PENTAGON CORRESPONDENT (voice-over): Citing what he calls the exponential rise in the number of deaths, both U.S. and Iraqi, along with the failure of the government of Prime Minister Nouri al-Maliki to disarm the warring militias, Republican Senator John Warner is sounding a dire warning: While he still has hope, it's fading fast.

• PENTAGON CORRESPONDENT (voice-over): Citing what he calls the exponential rise in the number of death, both U.S. and Iraqi, along with the failure of the government Prime Minister Nouri al Maliki to disarm the warring militias.

• (BEGIN VIDEOTAPE) (SOUNDS) MCINTYRE (voice-over): Citing what he calls the exponential rise in the number of deaths, both U.S. and Iraqi, along with the failure of the government of Prime Minister Nouri al-Maliki to disarm the warring militias, Republican Senator John Warner is sounding a dire warming while he still has hope, it's fading fast.

• PENTAGON CORRESPONDENT (voice over): Citing what he calls the exponential rise in the number of deaths, both U.S. and Iraqi, along with the failure of the government of Prime Minister Nouri al-Maliki to disarm the warring militias, Republican Senator John Warner is sounding a dire warning: while he still has hope, it's fading fast.

• MCINTYRE (voice over): Citing what he calls the exponential rise in the number of deaths both U.S. and Iraqi, along with the failure of the government of Prime Minister Nouri al Maliki to disarm the warring militias, Republican Senator John Warner is sounding a dire warning.

• JAMIE MCINTYRE, CNN SENIOR PENTAGON CORRESPONDENT (voice-over): Citing what he calls the exponential rise in the name of deaths, both U.S. and Iraqi, along with the failure of the government of Prime Minister Nouri Al-Maliki to disarm the warring militias, Republican Senator John Warner is sending a dire warning.

• The fingers of the explosions, shooting off in exponential pathways, are a sort of Manifest Destiny writ large across the sky.

• if more people understood this word....

March 2, 2007

• what if exponentially more people understood this word?

July 5, 2007

• I took an intro biology class where they referred to it as a "J-shaped curve", which seemed like a pointless simplification.

July 6, 2007

• More like a curvy L... or a J, as long as it's not one of those Js that curves back up on the short side. ;-)

July 6, 2007

• There is a fundamental human difficultly in dealing with exponential numbers. The mind has evolved to understand small quantities, the integers. The rational numbers, or fractions, are probably a rather recent invention, other than perhaps, I'll take 1/4 of that Woolly Mammoth we just killed. The human brain is just not designed to deal with numbers on an exponential scale.

Take, for example, the problem of the grains of rice on the chess board. At first glance, 1, 2, 4, 8, doesn't seem like a big deal. Of course, if you do the math, 2^64 is more grains of rice than have ever existed, but intuitively, it doesn't seem to be.

July 6, 2007

• Gotta be designed for it or there wouldn't BE "exponential numbers". Maybe most brains have a "number governor" installed; the ones that don't are right at home with exponentials and equations like e^iπ = -1 and so on.

July 6, 2007

• If that's the case, oroboros, my number governor is a damned tyrant. ;-)

July 6, 2007

• Just slip it a Mickey Finn and be a math genius! (hee hee)

July 6, 2007

• Now *there's* a thought....

July 8, 2007