With this definition, it is necessary to consider the direction of p ( pointed clockwise or counter-clockwise ) to figure out the sign of L. Equivalently:

" With the latter definition, Confucianism is religious, even if non-theistic, in the sense that it " performs some of the basic psycho-social functions of full-fledged religions ", in the same way that non-theistic ideologies like Communism do.

With digital terrestrial television ( DTV ) broadcasting, the range of formats can be broadly divided into two categories: high definition television ( HDTV ) for the transmission of high-definition video and standard-definition television ( SDTV ).

With second wave feminism and growth of scholarship in women's history and sexuality in the 20th century, the definition of lesbian broadened, sparking a debate about sexual desire as the major component to define what a lesbian is.

With this definition there are 5 regular compounds.

With the above definition in each step always a single symbol ( top of the stack ) is popped, replacing it with as many symbols as necessary.

With the development of the atomic clock in the early 1960s, it was decided to use atomic time as the basis of the definition of the second, rather than the revolution of the Earth around the Sun.

With the generalization of the definition, this naming system is no longer strictly adhered to.

With the latter definition, convex hulls may be extended from Euclidean spaces to arbitrary real vector spaces ; they may also be generalized further, to oriented matroids.

With this definition, it is possible to have a SINAD level less than one.

With respect to investment schemes that do not fall within the traditional categories of securities listed in the definition of a security ( Sec.

" With this definition, wisdom can supposedly be measured using the following criteria.

With the requirement of consent, the fourth type of interpretation above would usually not fall under the definition of " victimless crime ".

With the different types of wordplay and definition possibilities, the composer of a cryptic puzzle is presented with many different possible ways to clue a given answer.

With the definition of elliptic functions given above ( which is due to Weierstrass ) the Weierstrass elliptic function is constructed in the most obvious way: given a lattice as above, put

" With fewer than three murders attributed to him, Gein does not meet the traditional definition of a serial killer.

With no clear definition of the type, and few early illustrations or detailed descriptions to go by, the early history of the dory is muddled at best.

With this definition of distance, geodesics in a Riemannian manifold are then the locally distance-minimizing paths, in the above sense.

With the former definition, an " open universe " may either be an open manifold, i. e. one that is not compact and without boundary, or a closed manifold, while a " closed universe " is necessarily a closed manifold.

With the first equality by the definition of pdf for multiple variables, the second by the remark above, the third by hypothesis, and the fourth because the summation is not over.

With the first equality by definition of conditional probability density, the second by the remark above, the third by the equality proven above, and the fourth by simplification.

With the integration of Jews from around the world in Israel, North America, and other places, the religious definition of an Ashkenazi Jew is blurring, especially outside Orthodox Judaism.

With a definition of effective calculation came the first proofs that there are problems in mathematics that cannot be effectively decided.

The base A0 size of paper is defined to have an area of 1 m. With this definition and the given aspect ratio of square root of two, one can calculate the sides of an A0 sheet as follows: The long side is 1 metre multiplied by the square root of the square root ( that is, the fourth root ) of 2 and the short side is 1 metre divided by the same.

With due consideration for the limits of precision in assessing, expected rate of change in ossification of girls age 2 years, and the known variations in rate of ossification of these children as described in our preceding paper in the Supplement, each arrow with a `` shaft length '' of four months or less was selected as indicating `` same schedule '' at Onset and Completion, for this particular epiphysis.

With a length of, it is the largest river in the region.

With a key of length n bits, there are 2 < sup > n </ sup > possible keys.

With hinged, fixed or free end support conditions the deflected shape in neutral equilibrium of an initially straight column with uniform cross section throughout its length always follows a partial or composite sinusoidal curve shape, and the critical load is given by

With the current length of waterways, Indonesia ranked seven on the countries with longest waterways.

With time winding down the Saints threw backward passes and brought the ball down the length of the field for a touchdown, but kicker John Carney missed the extra point, which would have tied the game, so the Saints lost by one point, 20 – 19.

With a total length of 1, 020 kilometers, the Daugava ( or Zapadnaya Dvina in its upper reaches ) originates in the Valday Hills in Russia's Tver ' Oblast, meanders through northern Belarus, and then winds through Latvia for 370 kilometers before emptying into the Gulf of Riga.

With two quays covering a total length of 1. 6 km, it offers facilities connecting river, road and rail transport.

With this stratagem, it is not necessary to check the value of i against the list length n: even if x was not in A to begin with, the loop will terminate when i =

With concave lenses, incoming parallel rays diverge after going through the lens, in such a way that they seem to have originated at an upright virtual image one focal length from the lens, on the same side of the lens that the parallel rays are approaching on.

With the exception of silk, each of these fibres is short, being only centimetres in length, and each has a rough surface that enables it to bond with similar staples.

With increased popularity in the 1970s most soap operas expanded to an hour in length by the end of the decade ( Another World even expanded to ninety minutes for a short time ).

With the sliding technique originating from the cut off neck of a glass bottle, bottlenecks usually still have the same tubular shape and a length of one to three inches, and glass still remains a popular material.

With over 50 grants funded by the National Science Foundation, National Academy of Sciences, and the University of Michigan, Wolpoff has visited the museums where human and primate fossils are stored and has studied in detail and at length all the materials addressing the fossil evidence for human evolution across Europe, Asia, and Africa.

With a maximum length ( north-south ) of some, it and the Coromandel Peninsula ( directly to its south ) protect the gulf from the storms of the Pacific Ocean to the east.

With a length of 1465 km, it is the second longest river in India, second to The Ganges, and the longest in southern India.

Engrish has featured occasionally in the Trey Parker and Matt Stone cartoon South Park, such as the song " Let's Fighting Love ", used in the episode " Good Times With Weapons ", which parodies the poorly translated opening theme sequences sometimes shown in anime, and in Parker and Stone's feature length Team America: World Police where the late North Korean leader Kim Jong Il is depicted singing the song " I'm so Ronery ".

With a length of just under 5 miles, this was a small tributary of the Afan shortly before it entered the sea.

With an overall length of 5 feet 9 inches ( 1. 75 m ), the German Army's rifle / bayonet combination was second only to the French Lebel for overall bayonet ' reach '.

The largest species is the crowned pigeon of New Guinea, which is nearly turkey-sized, at a weight of 2-4 kg ( 4. 4-8. 8 lb ) The smallest is the New World ground-dove of the genus Columbina, which is the same size as a House Sparrow and weighs as little as 22 g. With a total length of more than 50 cm ( 19 in ) and weight of almost 1 kg ( 2 lb ), the largest arboreal species is the Marquesan Imperial Pigeon, while the Dwarf Fruit Dove, which may measure as little as 13 cm ( 5. 1 in ), has a marginally smaller total length than any other species from this family.

With her or his back resting on the bench, the lifter takes the loaded bar at arm's length.

With a length of approximately it is the country's third longest river.

With a length of 400 meters northwest-southeast and a width of up to 100 meters, it covers about 19, 000 m² or 1. 9 ha.

With the monetary value of the scrolls rising as their historical significance was made more public, the Bedouins and the ASOR archaeologists accelerated their search for the scrolls separately in the same general area of Qumran, which was over 1 kilometer in length.