These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.

These chatty merchants made amusing and instructive traveling companions, for their business took them to all four corners of the globe, and Florentine gossip had already reached a high stage of development as even a cursory glance at the Inferno will prove.

These contemporary structures, beautifully adapted to a school in the country, are home to 60 children, ages eight to fourteen, grades four through eight.

These include four national forests and one national preserve within state borders that provide over 25 % of the state's public recreation land.

These four elements were eventually codified in most states.

These programs are divided into 15 colleges and schools which are spread across ASU's four campuses.

These are sometimes called " the four pillars of the Big Bang theory ".

These four young Hebrew men were taken captive in one of the Babylonian raids against Judah in 605 BC.

These include eliminating the positions of appointed senators and senators for life, granting the President authority to remove the commanders-in-chief of the armed forces, and reducing the presidential term from six to four years while also disabling immediate re-election.

These are accompanied by the classical Sìzì ( 四字 ) with four virtues:

These four functions are completed by five elements ; Detector, Transducer, Transmitter, Controller, and Final Control Element.

These Pythian Games rank second among the four stephanitic games chronologically and based on importance.

These four bases are attached to the sugar / phosphate to form the complete nucleotide, as shown for adenosine monophosphate.

These four so-called mega-quakes are believed to be an ongoing cataclysmic danger that could reprise the 1811-12 series of 2, 000 quakes that affected the lands of what would be eight of today's heartland states of the United States.

These four families ( Ascoviridae, Iridoviridae, Phycodnaviridae and Polydnaviridae ) may form a clade but more work is needed to confirm this.

These ships displaced 1, 850 tons and were armed with eight guns in four twin turrets and four torpedo tubes.

These were four of the most powerful ships in the world, but he positioned them so far away from his six battlecruisers that they were unable to take part in most of the engagement with Admiral Hipper's squadron of five battlecruisers.

These talks were attended by the four major combatant groups, including the EPLF.

These early Equidae were fox-sized animals with three toes on the hind feet, and four on the front feet.

These four schools share most of their rulings, but differ on the particular hadiths they accept as authentic and the weight they give to analogy or reason ( qiyas ) in deciding difficulties.

These four ' Quadruplex ' signals are then sent to the control surface actuator, and the surface begins to move.

These alterations included the removal of his tiny ears, 3 toes on each foot rather than four, enlarged central dorsal fins and a bulkier body.

These are sufficiently numerous to challenge the theory that the Gospel of John was the last to be written among the four Gospels and that it shows marked non-Jewish influence.

These testbed satellites will be followed by four IOV Galileo satellites that will be much closer to the final Galileo satellite design.

These are graphs of ψ ( x, y, z ) functions which depend on the coordinates of one electron.

These work by using the game client library to calculate an enemy player's 2D coordinates from 3D space and automatically moving the player's mouse to the enemy target.

These polar unit vectors can be expressed in terms of Cartesian unit vectors in the x and y directions, denoted i and j respectively :< ref > Note: unlike the Cartesian unit vectors i and j, which are constant, in polar coordinates the direction of the unit vectors u < sub > r </ sub > and u < sub > θ </ sub > depend on θ, and so in general have non-zero time derivatives .</ ref >

These coordinates are a very special example of a more general concept of local coordinates from the theory of differential forms.

These are often numbered from 1st to 4th and denoted by Roman numerals: I ( where the signs of the two coordinates are I (+,+), II (−,+), III (−,−), and IV (+,−).

These vector fields each have a value defined at every point of space and time and are thus often regarded as functions of the space and time coordinates.

These coordinates, along with other details of the location, are posted on a listing site ( see list of some sites below ).

These would establish scaling factors from world coordinates to device coordinates, and translate to the low level device commands.

These solutions yield good rational approximations of the form x / y to the square root of n. In Cartesian coordinates, the equation has the form of a hyperbola ; it can be seen that solutions occur where the curve has integral ( x, y ) coordinates.

These coordinates are known as local coordinates and these homeomorphisms lead us to describe surfaces as being locally Euclidean.

These numbers are the coordinates of the endpoint of the vector, with respect to a given Cartesian coordinate system, and are typically called the scalar components ( or scalar projections ) of the vector on the axes of the coordinate system.

These contain pages of " drill charts ", which often either give a picture or list coordinates that band members use to find ' pages ' or ' sets ' on the field.

These basic values are modified by other factors such as the position of the pieces ( e. g. advanced pawns are usually more valuable than those on their starting squares ), coordination between pieces ( e. g. a bishop pair usually coordinates better than a bishop plus a knight ), and the type of position ( knights are generally better in closed positions with many pawns, while bishops are more powerful in open positions ).

These two pieces of information can be represented as a 2-dimensional vector, as a complex number, or as magnitude ( amplitude ) and phase in polar coordinates.

These coordinates are just as canonical as x, p, but the orbits are now lines of constant J instead of nested ovoids in x-p space.

These homogeneous transforms perform rigid transformations on the points in the plane z = 1, that is on points with coordinates p =( x, y, 1 ).

These field quantities are functions defined over a four-dimensional space whose points are labeled by coordinates x < sup > μ </ sup > where the index μ ranges over time ( μ =

These vertices are usually defined by X, Y, and Z coordinates, and typically are intended to be representative of the external surface of an object.

These coordinates indicated he was on the Kosovo = Albania border, which was a sealed border at the time.

These coordinates ( and velocities ) are, in their turn, parametric functions of time.