Using the familiar cartesian basis, a vector A is written ;

Using these samplers, the band members are able to recreate, in real-time, the sounds of non-traditional instruments, accompaniments, vocal harmonies, and other sound " events " that are familiar to those who have heard Rush songs from their albums.

Using his characteristic Ben Day dots and geometric shapes and lines, he rendered incongruous, challenging images out of familiar architectural structures, patterns borrowed from Art Déco and other subtly evocative, often sequential, motifs.

Using her studies into the role of witchcraft and magic in Britain during the Early Modern period as a starting point, the historian Emma Wilby examined the relationship that familiar spirits allegedly had with the witches and cunning-folk in this period.

Using the familiar characters from the Mario franchise, the game not only departed from the realism paradigm by using small karts for the players to drive, but also featured bright, colourful environments and allowed the players to pick up power-ups to improve performance or hamper other racers.

Using resident-oriented care, nurses are able to become familiar with each patient and cater more to their specific needs, whether they be emotional or medical.

Using a variety of experimental procedures, studies have shown that infants in their second year of life have an implicit understanding what other people see and what they know .. A popular paradigm used to study infants ' theory of mind is the violation of expectation procedure, which predicates on infants ' tendency to look longer at unexpected and surprising events compared to familiar and expected events.

Using the familiar tú, especially in contexts where usted was to be expected, is called tuteo.

The Metric Camera took square frames of film, covering about 27, 000 km² of the lunar surface, with a resolution of about 20 m. Using Reseau plates ( which added the familiar crosses to Apollo photographs ) and other data provided by the laser altimeter, it was possible to identify the exact position on the lunar surface of the photograph taken.

Using the alias Bo Gu, which means familiar with histories in Chinese, Qin began to learn Marxism and Leninism in a systematic way.

Using an FLM of 1. 5, for example, a photographer might say that a 50 mm lens on his DSLR " acts like " its focal length has been multiplied by 1. 5, by which he means that it has the same field of view as a 75 mm lens on the film camera that he is more familiar with.

Using the same line-up that recently backed him ( save for Blair Cunningham who had replaced Chris Whitten ), McCartney used the opportunity to dust off some of his rarer tracks, including three from his 1970 debut album McCartney, alongside some obscure covers amid a helping of familiar Beatles hits.

Using Unicode characters, the faces < big >&# x2680 ; &# x2681 ; &# x2682 ; &# x2683 ; &# x2684 ; &# x2685 ;</ big >, can be shown in text using the range U + 2680 – U + 2685 or using decimal.

Using these tables, often calculated out to 16 decimal places or more for some functions, one could look up values to plug into the formulas given and achieve very good numerical estimates of some functions.

* Using an otherwise valid instruction on the wrong data type ( see packed decimal / binary coded decimal )

Using Fibonacci numbers, he proved that when finding the greatest common divisor of integers a and b, the algorithm runs in no more than 5k steps, where k is the number of ( decimal ) digits of b. He also proved a special case of Fermat's last theorem.

Using this formula, this can be converted into a decimal form in a single step.

Using " Dec " ( decimal ) the user gets 10000000000 ( a 1 followed by 10 0s, i. e. base 10 ).

Using the sidereal orbital period of Venus gives the decimal 1. 48607 with the same result.

Using summation notation, it can be written as

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 index notation, the Hodge dual is obtained by contracting the indices of a k-form with the n-dimensional completely antisymmetric Levi-Civita tensor.

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.

Using index notation, an eigenvalue equation can be written as