Using this, it becomes relatively easy to answer such classical problems of geometry as

Using correct geometry, but the insufficiently accurate 87 ° datum, Aristarchus concluded that the Sun was between 18 and 20 times farther away than the Moon.

Using hyperbolic geometry and radionavigation principles, a position fix with an accuracy on the order of 5 to 10 km was realizable over the entire globe at any time of the day.

Using less different block lengths, a " hexagonally packed cylinder " geometry can be obtained.

Using a geometry in addition to special surfaces is often fruitful.

Using fractal geometry to describe natural forms such as coastlines, mathematical physicist Mitchell Feigenbaum developed software capable reconfiguring coastlines, borders, and mountain ranges to fit a multitude of map scales and projections.

Using this new technique of conformational analysis, he later determined the geometry of many other natural product molecules.

Using a Manhattan geometry, Mills incorporated a transportation component in his analysis.

When the two curved cylinders have the same radius of curvature, R, this so-called ' crossed cylinders ' geometry is mathematically equivalent to the interaction between a flat surface and a sphere of radius R. Using the crossed cylinder geometry makes alignment much easier, enables testing of many different surface regions for better statistics, and also enables angle-dependent measurements to be taken.

Using appropriate triggers, neutron reflectors, implosion geometry and tampers, this critical mass can be reduced by more than twofold.

Using a batch-fabrication process allows for strict control over pore size distribution and geometry.

Using simple geometry and specialized positioning, you can easily make semi-automatic and 2-shot burst fire weapons, as well as more complicated fully automatic weapons using paperclips as an axis for a rotating firing piece.

Using a branch of mathematics known as tuple calculus, he demonstrated that such a system could support all the operations of normal databases ( inserting, updating etc.

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

Using the techniques of differential calculus, the velocity and acceleration as a function of time can be found:

Using differential calculus, we can determine the limit, or the value that Δy / Δx approaches as Δy and Δx get closer to zero ; it follows that this limit is the exact slope of the tangent.

Using the probability calculus of Bayes Theorem, Salmon concludes that it is very improbable that the universe was created by the type of intelligent being theists argue for.

Using a method called " calculus of statement ," Lentz helps the team to mitigate the pressure harming the plant operators.

Using the fundamental theorem of calculus often requires finding an antiderivative.

Using this in the sum, one can evaluate the remaining integral using the calculus of residues and arrive at the desired generating function.

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

Using tensor calculus, proper time is more rigorously defined in general relativity as follows: Given a spacetime which is a pseudo-Riemannian manifold mapped with a coordinate system and equipped with a corresponding metric tensor, the proper time experienced in moving between two events along a timelike path P is given by the line integral

Using differential calculus we can obtain conditions on x under which this holds.

Using the parametrization of the hyperbola with hyperbolic angle, the theory of special relativity provided a calculus of relative motion with the one-parameter group indexed by rapidity.

* Using process calculus to model biological systems ( stochastic-calculus, BioAmbients, Beta Binders, BioPEPA, Brane calculus ).

Using calculus, Gershun could compute the irradiance falling on points () on a surface.

Using the functional calculus for larger classes of functions, we can for example define rigorously the " square root " of the ( negative ) Laplacian operator − Δ or the exponential

Using the bounded functional calculus, one can prove part of the Stone's theorem on one-parameter unitary groups:

Using typed lambda calculus to implement formal systems on a machine.

Using modern predicate calculus, we quickly discover that the statement is ambiguous.

Using the same prefixes to mean two different things within the same industry has caused some confusion.

Using a hair dryer, some atheist groups have conducted tongue-in-cheek " debaptism " ceremonies, not intended to be taken seriously.

Using the word apocrypha ( Greek: hidden away ) to describe texts, although not necessarily pejorative, implies to some people that the writings in question should not be included in the canon of the Bible.

Using some clever tricks, the merge operation can be done in time O ( n ), so the total running time is O ( n log n ).

Using explosives for fishing, called dynamite fishing, became popular in the 1980s and is still practiced by some even though it is illegal today.

Using combat skills allegedly acquired in army Ranger School, Marrow claimed he and some associates began conducting take-over bank robberies, "... like the film Heat.

Using a Bell & Howell camera, a portable developing and printing machine, and some lighting equipment, Flaherty spent 1914 and 1915 shooting hours of film of Eskimo life.

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 some of Desilu's established shows such as Star Trek, Mission: Impossible, and Mannix as a foot in the door at the networks, the newly reincorporated Paramount Television eventually became known as a specialist in half-hour situation comedies.

Using a graphic tablet for general pointing, clicking, and dragging ( i. e. not drawing ) may take some time to get used to as well.

Using their flycycles, they try to reach the rim of the ring, where they hope to find some technology that will help them.

Using stock sets for other shows results in odd subcategories like the science fiction western ; some established shows also have the occasional episode.

Using this concept, some aerospace analysts believe the way to lower launch costs is the exact opposite of SSTO.

Using this way of framing the issue, Cousin stridently argued that different competing philosophical ideologies all had some claim on truth, as they all had arisen in defense of some truth.

Using newer versions of True BASIC, some of the older functions are blocked out.

Using WordStar in " Nondocument Mode " was essentially the same as using a traditional text editor, but with more advanced text editing features than found in some mainframe-based editors.

Using short pulses of laser light beamed from a spacecraft, some of that " light reflects off of tiny particles in the atmosphere and back to a telescope aligned with the laser.

Using transformation optics it is possible to design the optical parameters of a " cloak " so that it guides light around some region, rendering it invisible over a certain band of wavelengths.

Using " swarm " usually implies some kind of active ability to stay together, which a few species such as Aurelia, the moon jelly, demonstrate.

Using this knowledge allowed RCA to develop a system in which they discarded most of the blue signal after it comes from the camera, keeping most of the green and only some of the red ; this is chroma subsampling in the YIQ color space.

Using this method some areas have tree-ring records dating back a few thousand years.