Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Thus, many users of a given BBS usually lived in the same area, and activities such as BBS Meets or Get Togethers were common, where users of the board would gather at a local restaurant, the SysOp ’ s home or similar venue and meet face to face.

Thus any popular general-purpose data model usually well balances between being intuitive and relatively simple, and very complex with high expressive power.

Thus, speakers of two adjacent Inuit dialects would usually be able to understand one another, but speakers from dialects distant from each other on the dialect continuum would have difficulty understanding one another.

Thus, it is possible that I Corinthians was written during Paul's first ( brief ) stay in Ephesus, at the end of his Second Journey, usually dated to early 54 AD.

Thus, it has generally been used to describe something which, while unreal, is so in a very specific or unusual fashion, usually one emphasizing not just the " not real ," but some form of estrangement from our generally accepted sense of reality.

Thus, reflection in a resonant cavity is usually required for a laser, but is not absolutely necessary.

This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.

Thus an 8-course Renaissance lute will usually have 15 strings, and a 13-course Baroque lute will have 24.

Thus, minimum wage laws have usually been judged against the criterion of reducing poverty.

Thus the size of the MDR is usually a multiple of 8.

Thus, a piano quintet is usually a string quartet plus a piano.

Thus, when new and full moons occur, the Moon usually lies to the north or south of a direct line through the Earth and Sun.

Thus, while most organic acids are deprotonated by the ionization of a polar hydrogen-to-oxygen bond, usually accompanied by some form of resonance stabilization ( resulting in a carboxylate ion ), uric acid is deprotonated at a nitrogen atom and uses a tautomeric keto / hydroxy group as an electron-withdrawing group to increase the pK < sub > 1 </ sub > value.

Thus, the more explicit notation is usually not deemed necessary and very rarely used.

Thus 18th century is usually broken down into sub periods such as ' WSS ' ( War of Spanish Succession ), ' WAS ' ( War of Austrian Succession ), ' SYW ' ( Seven Years War ) and ' AWI ' ( American War of Independence ).

Thus, 1933 is usually seen as the end of the Weimar Republic and the beginning of Hitler's Third Reich.

Thus all of the additional signal power is guided in the same fiber mode as the incoming signal. There is usually an isolator placed at the output to prevent reflections returning from the attached fiber.

Thus it is commonly used in image processing, where the SNR of an image is usually calculated as the ratio of the mean pixel value to the standard deviation of the pixel values over a given neighborhood.

Thus, civil broadcast standards for time and frequency usually follow TAI closely, but occasionally change discontinuously ( or " leap ") in order to prevent them from drifting too far from mean solar time.

Thus each timeslot sends and receives an 8-bit PCM sample, usually encoded according to A-law algorithm, 8000 times per second ( 8 x 8000 x 32 = 2, 048, 000 ).

Thus, a control-canard mostly operates only as a control surface and is usually at zero angle of attack.

Thus, indirect code is often more compact than direct-threaded code, but the indirection also typically makes it slower, though still usually faster than bytecode interpreters.

Thus, closet as an adjective means secret — usually with a connotation of vice or shame, as in " a closet alcoholic " or " a closet homosexual ," though sometimes used as a humorous exaggeration for any potential embarrassment, as in " a closet comic book fan.

Thus thought experiments belong to a theoretical discipline, usually to theoretical physics, but often to theoretical philosophy.

Thus Christ's atonement is intended for all, but requires faith to be effected.

Thus, though knowledge requires justification, truth, and belief, the word " knowledge " can't be, according to Williamson's theory, accurately regarded as simply shorthand for " justified true belief.

Thus, a solution requires that no two queens share the same row, column, or diagonal.

Thus for a large or very distributed company that requires multiple PBXs, users can receive the same services across the network and be unaware of the switch that their telephone is connected to.

Thus, as per Draper's argument above, the theory that there is an omniscient and omnipotent being who is indifferent requires no hidden reasons in order to explain evil.

Thus for finite n, the expression " n-th element " of a well-ordered set requires context to know whether this counts from zero or one.

Thus, assigning age significance to a result requires studying the metasomatic and thermal history of the rock, any metamorphic events, and any evidence of fluid movement.

Thus it requires sufficient duration of transmission time for calls to connect or link with another station that is unsynchronised with its calling signal.

Thus, the work requires great strength and is quite hazardous to the back, hands, and feet.

Thus Real Alternative requires RealPlayer to be installed ( or at least its DLLs ) in order to function.

Thus, the basis of morality is strong moral character, which requires self-reliance and self-discipline.

Thus an eye care professional, having determined that a myopic ( nearsighted ) person requires a basic correction of, say, − 2 dioptres to restore normal distance vision, might then make a further prescription of ' add 1 ' for reading, to make up for lack of accommodation ( ability to alter focus ).

Thus, a neutral point of view requires testing measures consensual to anyone expected to believe the results.

Thus, any real approach to modeling landscapes requires the ability to modulate fractal behaviour spatially.

Thus compatibility with data in the old format may need to be kept when switching to a different format, even when decoding from ( as with many MPEG formats ), or distribution in ( as has at least been planned with H. 264 ) the old format requires paying royalties.

Thus, if one of the coordinates, say q < sub > k </ sub >, does not appear in the Lagrangian, the right-hand side of the equation is zero, and the left-hand side requires that

Thus creating a fireball requires the following formula: Create Fire.

Thus, attempts to define electrochemical potential in this way cannot lead to the kind of universal parameter that thermodynamics ideally requires.

Thus, lighting a larger area to the same level of lux requires a greater number of lumens.

Thus, x86 instructions that operate on the memory ( e. g., add this register to this location in the memory ) can only be processed by the general decoder, as this operation requires at a minimum of three micro-ops.

Thus, large stitches can be made with large needles, whereas fine knitting requires fine needles.

Thus, the sustainable management requires finding out what business activities fit into the Earth ’ s carrying capacity, and also defining the optimal levels of those activities.

Thus, on an additive white Gaussian noise ( AWGN ) channel without interference, a spread system requires the same transmitter power as an unspread system, all other things being equal.

Thus using a computer in the digital production of caricatures requires advanced knowledge of the program's functionality.