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Using and these

Using these formulas, the area of any polygon can be found by dividing the polygon into triangles.

Using Nevado Mismi, which in 2001 was labeled by the National Geographic Society as the Amazon's source, these scientists made new calculations of the Amazon's length.

Using these inhibitors it was discovered that cells can die while displaying a morphology similar to apoptosis without caspase activation.

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 rules of double entry, these journal summaries are then transferred to their respective accounts in the ledger, or book of accounts.

Using Flynn's taxonomy, these two schemes of dealing with data are generally referred to as SIMD ( single instruction, multiple data ) and SISD ( single instruction, single data ), respectively.

Using the extension of the code, the encoded string 0011001011 can be grouped into codewords as 0 – 011 – 0 – 01 – 011, and these in turn can be decoded to the sequence of source symbols acabc.

Using these coordinates, the motion along the path is viewed as a succession of circular paths of ever-changing center, and at each position s constitutes non-uniform circular motion at that position with radius ρ.

Using ClearType on these display configurations will actually reduce the display quality.

Using these modelling techniques, Malthus ' population principle of growth was later transformed into a model known as the logistic equation:

Using transforms it is possible to convert these continuous time frequency responses to ones that are implemented in discrete time, for use in digital IIR filters.

Using these definitions, examples of specific episcopal churches include:

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 these he instructed Davy in the rudiments of experimental science.

Using inputs such as input voltage, output voltage, output current, frequency, ambient temperature, and inductance these calculators can predict the losses of the inductors core and AC / DC based on the operating condition of the circuit being used.

Using these two examples, we can make some useful observations that motivate the major ideas in lambda calculus.

Using an example of " 75 % effective ", an article in American Family Physician explains the effectiveness calculation thus: ... these numbers do not translate into a pregnancy rate of 25 percent.

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 their new foreknowledge of these events, the present Janeway and Tuvok create a hologram of Kes at the time who reminds her future self about her affection for the crew and how much they had cared for her, thus showing Kes how irrational her hatred is.

Using these new tactics and the support of authors, the Company petitioned Parliament again in both 1707 and 1709 to introduce a bill providing for copyright.

Using sensing technologies such as EEG electrodes or accelerometers, these alarm clocks are supposed to wake people only from light sleep.

Using the Greek numerical prefixes, these would be as follows for series with between two and ten entries:

Using an extensive network of cities and settlements in the province of Mawarannahr ( a name given the region after the Arab conquest ) in Uzbekistan and farther east in what is today China's Xinjiang Uygur Autonomous Region, the Soghdian intermediaries became the wealthiest of these Iranian merchants.

Using these patents as a part of WI coder implementation requires licensing from all IPR holders.

Using and definitions

Using stricter definitions of religion, Confucianism has been described as a moral science or philosophy.

Using the same view, defined concepts are complete definitions.

Using these definitions, Noether showed that the N quantities

Using a defining vocabulary is not without its problems, and some scholars have argued that it can lead to definitions which are insufficiently precise or accurate, or that words in the list are sometimes used in non-central meanings.

Using these definitions, pansexuality is different in that it includes people who are intersex and / or fall outside the gender binary.

Using " weakly inaccessible " instead of " inaccessible ", similar definitions can be made for " weakly α-inaccessible ", " weakly hyper-inaccessible ", and " weakly α-hyper-inaccessible ".

Using this sociologically-based theory has little to no link to the benefit of psychology due to its weakness in operational definitions and weak analytical mode.

Using these facts, many definitions and statements about modules can be immediately translated into definitions and statements about bimodules.

Using various self-serving definitions, a number of palaces are claimed to be the world ’ s largest: Istana Nurul Iman, Buckingham Palace, Royal Palace of Madrid, Stockholm Palace, The Forbidden City, The Palace of Versailles, The Winter Palace, The Louvre, Prague Castle, and Romania ’ s Palace of the Parliament.

Using these definitions, Weart finds numerous wars between the same and different kinds of societies but also two exceptions.

Using and can

Using a Batista man to screen refugees represented a total misunderstanding of the democratic forces which alone can effectively oppose Castro.

Using visual imagery of a soroban, one can arrive at the answer in the same time as, or even faster than, is possible with a physical instrument.

Using this distance and other photographs, more information about the object, including its orbital elements, can be obtained .< ref >

Using the " lock and key " metaphor, the antigen itself can be seen as a string of keys-any epitope being a " key "-each of which can match a different lock.

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 modern full capacity firearms, a shooter can fire more shots with greater accuracy using a single gun in a two-handed grip than two guns with one-handed grips.

Using a solar roof, solar cells can provide electric power.

Using Zorn's lemma, it can be shown that every field has an algebraic closure, and that the algebraic closure of a field K is unique up to an isomorphism that fixes every member of K. Because of this essential uniqueness, we often speak of the algebraic closure of K, rather than an algebraic closure of K.

Using various modifiers, the activity of the enzyme can be regulated, enabling control of the biochemistry of the cell as a whole.

Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S n → ℝ n that does not equalize on any antipodes then we can construct a map g: S n → S n-1 by the formula

Using pharmacogenomics, pharmaceutical companies can create drugs based on the proteins, enzymes and RNA molecules that are associated with specific genes and diseases.

Using braille translation software, a document can be embossed with relative ease, making braille production much more efficient and cost-effective.

Using summation notation, it can be written as

Using the previous relationships they can be expressed as:

Using the language of category theory, many areas of mathematical study can be cast into appropriate categories, such as the categories of all sets, groups, topologies, and so on.

Using the one-point compactification, one can also easily construct compact spaces which are not Hausdorff, by starting with a non-Hausdorff space.

Using Cartesian coordinates, it can be shown that

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