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 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

Using privately-owned vehicles was a personal hardship for such employees, and the matter of providing state transportation was felt perfectly justifiable.

Using the same figures as for the previous example, the equation becomes: Af

Using two anchors set approximately 45 ° apart, or wider angles up to 90 °, from the bow is a strong mooring for facing into strong winds.

Using this binding mechanism, an antibody can tag a microbe or an infected cell for attack by other parts of the immune system, or can neutralize its target directly ( for example, by blocking a part of a microbe that is essential for its invasion and survival ).

Using F for the drag force, ρ for the density, S for the area of the flat plate, V for the flow velocity, and θ for the inclination angle, his law was expressed as

Using conventional construction techniques, they designed a series of " bioshelter " projects, the most famous of which was the Ark Bioshelter community for Prince Edward Island.

Using full-season statistics available at the Official Site of Major League Baseball for the 2004 through 2011 seasons, the following tables show top ranges in various statistics, in alphabetical order.

Using these tools, one can write a more complex text editor, and a simple compiler for a higher-level language and so on, until one can have a graphical IDE and an extremely high-level programming language.

Using the number 2 would give the symbol for singular " You "; adding the plural indicator ( a small cross at the top ) would produce the pronouns " We " and plural " You ".

* R. E. Bryant, S. M. German, and M. N. Velev, Microprocessor Verification Using Efficient Decision Procedures for a Logic of Equality with Uninterpreted Functions, in Analytic Tableaux and Related Methods, pp. 1 – 13, 1999.

Using the lowest effective dose for the shortest period of time minimizes the risks to the unborn child.

Using this implementation Harvey computed B < sub > n </ sub > for n = 10 < sup > 8 </ sup >.

Using this population density as a base for calculation, and allotting 10 % of food towards surplus for trade and assuming that city dwellers do no farming, he calculates that " in order to maintain a city with a population of 1, 000, and without taking the cost of transportation into account, an area of 100, 000 square kilometers would have been required.

Using the same coloring scheme of the traditional Chinese dice, every half-domino with 1 or 4 spots has those spots colored red ( for example, the 4-5 domino has four red spots and five white spots ).

* The Case for Using Layered Defenses to Stop Worms

Using the SAFE strategy ( acronym for surgery for in-growing or in-turned lashes, antibiotics, facial cleanliness, and environmental improvements ), the World Health Organisation aims for the global elimination of trachoma by 2020 ( GET 2020 initiative ).