Using a less strict definition of the electro-optic effect allowing also electric fields oscillating at optical frequencies, one could also include nonlinear absorption ( absorption depends on the light intensity ) to category a ) and the optical Kerr effect ( refractive index depends on the light intensity ) to category b ).

Using the well known dependence of the wave number on the refractive index of the medium, we derive Snell's law immediately.

* Version I: Using narrow beams from his index fingers, Ultraman can paralyze objects suspended in mid-air.

Using the so-called " perpetual inventory method ", one starts off from a benchmark asset figure, and adds on the net additions to fixed assets year by year, while deducting annual depreciation, all data being adjusted for price inflation using a capital expenditure price index.

Using meta data to index pages was found to be less than reliable, however, because the webmaster's choice of keywords in the meta tag could potentially be an inaccurate representation of the site's actual content.

Using a newly formulated clear glass developed by Corning ( referred to as 10M ) which had a very high refraction index, Steuben designers developed beautiful, fluid designs.

Using topological cobordism and K-homology one may provide a full statement of an index theorem on quasiconformal manifolds ( see page 678 of ).

Using index notation, an eigenvalue equation can be written as

Using the aggregate price index the equilibrium condition becomes

Using a Taylor expansion since χ < sub > NL </ sub > << n < sub > 0 </ sub >< sup > 2 </ sup >, this gives an intensity dependent refractive index ( IDRI ) of:

Using the SEP instruction, you can select any of the 16 registers to be the program counter ; using the SEX instruction, you can select any of the 16-bit registers to be the index register.

Using the abstract index notation, let a, b, c, ... refer to and μ, ν, ... refer to the tangent bundle.

* Single Finger: Using a variation on the in-swinger grip where the index finger and thumb are both fully on the seam of the ball and the second finger barely touches it.

Using the index, Cortana can activate the local ringworld, destroying Gravemind but sparing the galaxy's sentient life.

Using the details from an index, a copy ( certificate ) of the corresponding birth, marriage or death entry could be applied for at the cashiers ' section on the same floor.

Using Mary's serum as index, he found that the " missing " factor, which he labeled V ( I-IV having been used in Morawitz ' model ), had particular characteristics.

Using cards to create an index was the brainchild of 18th century naturalist Carl Linnaeus, who is known as " the father of modern taxonomy " for his work on categorizing species.

Using the actual membership of the index, applying entry and exit dates to gain the appropriate return during inclusion in the index, would allow for a bias-free output.

Using this index, Florida rates and ranks cities in terms of innovative high-tech centers, with San Francisco being the highest ranked ( 2002 ).

Using the alternative of the so-called " perpetual inventory method ", one begins with a benchmark asset figure and then cumulates GFCF year by year ( or quarter by quarter ), while deducting depreciation according to some method, all data being adjusted for price inflation using a capital expenditure price index.

Using such a form for a signal, it can be shown, subject to the ( expected ) condition that the refractive index of any medium tends to one as the frequency tends to infinity, that the wave discontinuity, called the front, propagates at a speed less than or equal to the speed of light c in any medium.

Using different combinations of lenses of different types of high index optical glasses, the eyepieces produce, respectively, a 50 °, 60 °, 68 °, 72 °, 82 °, 100 ° and 50 ° apparent field-of-view.

Using summation notation, it can be written as

Using base-10 ( the familiar decimal notation ) as an example, the number 152853. 5047, which has ten decimal digits of precision, is represented as the significand 1528535047 together with an exponent of 5 ( if the implied position of the radix point is after the first most significant digit, here 1 ).

Using asymptotic notation this result can be restated as

Using comparative analysis of all the material available to him, Vollaerts was able to show the internal logic and coherence in the neumatic notation with regard to a proper articulation of the verbal-melodic line.

Using the above given notation, suppose that some infinite cardinal.

Using the notation that is sometimes used to concisely describe diagonal matrices, we can write:

Using this notation, P ( t ) takes the form,

Using big-O notation, the performance of the interpolation algorithm on a data set of size N is O ( N ); however under the assumption of a uniform distribution of the data on the linear scale used for interpolation, the performance can be shown to be O ( log log N ).

Using the Dirac notation, let the system initially be in the state where

Using Leibniz notation: the substitution yields and thus, formally,, which is the required substitution for.

Using matrix notation, the first fundamental form becomes

Using Knuth's up-arrow notation, Graham's number G ( as defined in Gardner's Scientific American article ) is

Using this sigma notation the above summation is written as:

Using IUPAC notation in which the brackets contain the natural variables ( other than the main four ), we have:

Using the other notation:

Using the limit notation of calculus, the volume may be expressed as:

Using the notation in the diagram on the right, the sides are ( AB ), ( BC ), ( CD ), ( DA ).

Using Lagrange's notation, we can write:

Using Newton's notation, we can write:

Using this notation, Z-X-Z would mean extrinsic composition.

Using hexadecimal notation, which includes the digits < tt > 0123456789ABCDEF </ tt >, it is possible to spell several words.

Using this notation and some knowledge about mathematical functions and probability theory we formalise different versions of the binding and hiding properties of commitments.

Using this notation, we can write Z = O < sub > Q </ sub > since Z is the ring of integers of the field Q of rational numbers.