which is the length of chain whose weight is equal in magnitude to the tension at c. Then

Then the magnitude of the force is proportional to the angle of the bar.

Then on March 18 at 3: 45 p. m. Pacific Standard Time ( all times will be in PST or PDT ), a shallow Richter magnitude 4. 2 earthquake ( the initial reading was 4. 1 ), centered below the volcano's north flank, signaled the volcano's violent return from 123 years of hibernation .| deadurl = no

Then the magnitude of the magnetic dipole moment is

For a simpler, if less symmetrical way to check the magnitude, draw CK parallel to AB where DEF meets CK at K. Then by similar triangles

Then, the bispectrum will have the same magnitude ( assuming that the magnitude of the frequency components is the same ) but the phase will be randomly oriented.

Then, about halfway through, or sometimes even during the final act, one of the suspects usually dies, often because they have inadvertently deduced the killer's identity and need silencing.

) There are also numerous instances where the killer is not brought to justice in the legal sense but instead dies ( death usually being presented as a more ' sympathetic ' outcome ), for example Death Comes as the End, And Then There Were None, Death on the Nile, Dumb Witness, The Murder of Roger Ackroyd, Crooked House, Appointment with Death, The Hollow, Nemesis, Cat Among the Pigeons, and The Secret Adversary.

Then, the leaving group, usually a proton, is split off and the aromaticity is restored.

Then there is the villain, who is the epitome of evil, either by his ( usually a man ) own fall from grace, or by some implicit malevolence.

In the early ballads Robin's men usually kneel before him in strict obedience: in A Gest of Robyn Hode the king even observes that " His men are more at his byddynge / Then my men be at myn.

Then, the shunt is placed into it with the other end draining cerebrospinal fluid ( CSF ) into a cavity, usually the abdomen.

Then priests and other ecclesiastical dignities adopted coats of arms, usually to be used as seals and other such insignia, and then towns and cities to likewise seal and authenticate documents.

Then a blind is constructed, usually from the bait where the hunting party can remain concealed, usually from early evening until early morning the next day.

Then one of all together eight Berlin Wall crossings was opened on the eastern side of the gate, usually not open for East Berliners and East Germans, who from then on needed a hard-to-obtain exit visa.

Then followed the " seasoning " which usually lasted 12 months or so.

Then it is usually dropped by spoonsful onto wax paper or a sheet of aluminum foil greased with butter, and left to cool.

Then the inversive distance ( usually denoted δ ) is defined as the natural logarithm of the ratio of the radii of the two concentric circles.

Then the gold may be cast into some item, usually with the lost wax casting process, or it may be used to fabricate the work directly in metal.

Then, after she takes on the Parliament Robe of State and Imperial State Crown in the Robing Chamber, the Queen proceeds through the Royal Gallery to the House of Lords, usually accompanied by the Duke of Edinburgh and immediately preceded by the Lord Great Chamberlain and the Earl Marshal, and by one peer ( usually the Leader of the House of Lords ) carrying the Cap of Maintenance on a white rod, and another peer ( generally a retired senior military officer ) carrying the Great Sword of State.

Then, the secondary causes ( usually 5 – 10 percent of suspected ITP cases ) should be excluded.

Then the wives went off-stage as the husbands were asked four 10-point questions and a 35-point bonus question, which usually decided the game.

Then although the lists are seldom closed, certain categories of abusive conduct are usually prohibited under the country's legislation.

Then, if we have an address, the system provides an operation to retrieve the value stored in the memory unit at that address ( usually utilizing the machine's general purpose registers ).

Then the photon flux density ( watts per metre squared usually ) of the transmitted or reflected light is measured with a photodiode, charge coupled device or other light sensor.

Then he approaches the icon more closely, kissing the icon, usually on the representation of Christ's feet or the saint's hand.

Then, when a search engine user looks for a particular word or phrase, the search engine looks into the database and produces the results, usually sorted by relevance according to the search engine algorithms.

Then although the lists are seldom closed, certain categories of abusive conduct are usually prohibited under the country's legislation.

Then, the original, low frequency components are referred to as the baseband signal.

Then, the original signal can be reconstructed by a suitable integration over all the resulting frequency components.

Then the signal is either sampled or processed by the four-quadrant multiplier which produces the complex envelope components ( I, Q ) through multiplying it by the heterodyne frequency.

Then products like Platform Builder ( an integrated environment for Windows CE OS image creation and integration, or customized operating system designs based on CE ) offered several components in source code form to the general public.

Then, problems requiring rework were discovered in the North American components.

Let X be a smooth projective variety where all of its irreducible components have dimension n. Then one has the following version of the Serre duality: for any locally free sheaf on X,

Then, the figure is finished by adding details like colors, hair and feathers and other components to make the figure more realistic.

Then the arguments from the previous case are applied to the forces and their components to demonstrate the torque relationships.

Then as now it was common for auto manufacturers to outsource some of their components, concentrating on assembly and marketing, and perhaps manufacture of a few major systems.

Then decompose this field, at each point k, into two components, one of which points longitudinally, i. e. parallel to k, the other of which points in the transverse direction, i. e. perpendicular to k. So far, we have

Then the exposure vector has components

Then its global sections are given by, i. e. the direct sum indexed by connected components of X

Then if are the smooth, irreducible components of, one has with the meeting transversely.

Then it is a matter of measuring the different components, usually designated by subscripts.

Then, the components of T, which are elements of A, are defined as

Then the Hessian of a function f is the symmetric 2-tensor whose components are given by

Then a polyacid is applied to remove the red dye from collagen and some other components by displacement.

Then a final scholium points out how problems 6 and 7 apply to the horizontal and vertical components of the motion of projectiles in the atmosphere ( in this case neglecting earth curvature ).

Then a stable map is a pseudoholomorphic map with at least one stable domain component, such that for each of the other domain components

Then the components of our vector field are now scalar functions given in tensor notation by writing, where f is an arbitrary smooth function.