Loss of significance is an undesirable effect in calculations using floating-point arithmetic. It occurs when an operation on two numbers increases relative error substantially more than it increases absolute error, for example in subtracting two nearly equal numbers (known as catastrophic cancellation). The effect is that the number of accurate (significant) digits in the result is reduced unacceptably. Ways to avoid this effect are studied in numerical analysis.
Read more about Loss Of Significance: Demonstration of The Problem, Workarounds, Loss of Significant Bits, Instability of The Quadratic Equation, A Better Algorithm
Famous quotes containing the words loss of, loss and/or significance:
“...to many a mother’s heart has come the disappointment of a loss of power, a limitation of influence when early manhood takes the boy from the home, or when even before that time, in school, or where he touches the great world and begins to be bewildered with its controversies, trade and economics and politics make their imprint even while his lips are dewy with his mother’s kiss.”
—J. Ellen Foster (1840–1910)
“... imprisonment itself, entailing loss of liberty, loss of citizenship, separation from family and loved ones, is punishment enough for most individuals, no matter how favorable the circumstances under which the time is passed.”
—Mary B. Harris (1874–1957)
“It is necessary not to be Christian to appreciate the beauty and significance of the life of Christ.”
—Henry David Thoreau (1817–1862)