"Because the bicep tendon does connect to the labrum, " he added, " we just want to make surd s332 : 0841 : : 9273; 40 : 9374737747 there ."
22.
:: : : : : Surd field sounds like a good, snappy, short name, but a quick google seems to show that it used for what we are calling constructible numbers, and should probably redirect there.
23.
The product of " every odd multiple of the product of pi and the imaginary unit plus the natural log of the absolute value of the surd-conjugate of the golden ratio " and the negative multiplicative inverse of the natural log of 2
24.
More recently, sharper arguments based on the divisor function have shown that " L " ( " D " ), the length of the repeating block for a quadratic surd of discriminant " D ", is given by
25.
:: " Surd " from Latin " surdus " meaning deaf or mute-see Jeff Miller's " Earliest Known Uses of Some of the Words of Mathematics " . talk ) 12 : 12, 21 August 2009 ( UTC)
26.
:: Have the days gone when students considered triangles with angles of 45, 45, 90 degrees and of 30, 60, 90 degrees, to get the sine, cosine and tangent of 30, 45 and 60 degrees as a fraction or a surd?
27.
Later, in their treatises, Indian mathematicians wrote on the arithmetic of surds including addition, subtraction, multiplication, rationalization, as well as separation and extraction of square roots . ( See Datta, Singh, Indian Journal of History of Science, 28 ( 3 ), 1993 ).
28.
Moreover, if " V " has dimension 2 or more, " K " must be closed under square root, as well as the four arithmetic operations; thus the rational numbers "'Q "'are excluded, but the surd field is acceptable.
29.
An information theoretic analysis using a simplified but useful model shows that in asexual reproduction, the information gain per generation of a species is limited to 1 bit per generation, while in sexual reproduction, the information gain is bounded by \ surd G, where G is the size of the genome in bits.
30.
He also proved that if ? is a reduced quadratic surd and ? is its conjugate, then the continued fractions for ? and for ( & minus; 1 / ? ) are both purely periodic, and the repeating block in one of those continued fractions is the mirror image of the repeating block in the other.
