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 this definition of length, every connected Riemannian manifold M becomes a metric space ( and even a length metric space ) in a natural fashion: the distance d ( x, y ) between the points x and y of M is defined as

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.

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 the emergence of community-acquired methicillin-resistant staphylococcus aureus MRSA, these traditional antibiotics may be ineffective ; alternative antibiotics effective against community-acquired MRSA often include clindamycin, trimethoprim-sulfamethoxazole, and doxycycline.

Under Title III of the ADA, all " new construction " ( construction, modification or alterations ) after the effective date of the ADA ( approximately July 1992 ) must be fully compliant with the Americans With Disabilities Act Accessibility Guidelines ( ADAAG ) found in the Code of Federal Regulations at 28 C. F. R., Part 36, Appendix " A ".

With the development of effective anti-aircraft artillery in the period before the Second World War, military pilots, once the " knights of the air " during the First World War, became far more vulnerable to ground fire.

With modern biotechnology, these genes can be used as targets for the development of effective new therapies, which could significantly shorten the drug discovery process.

With no effective long-range weapon the original Blue Steel served on after a crash programme of minor modifications to permit a low-level launch at, even though its usefulness in a hot war was likely limited.

With a superb military machine with good weapons, excellent training, and effective field artillery, backed by an efficient government which could provide necessary funds, Gustavus Adolphus was poised to make himself a major European leader, but he was killed at the battle of Lützen in 1632.

With 17 out of 58 votes in the Bundesrat, Berlin needed only a few votes from the small states to exercise effective control.

With the death of James III in 1488 at the Battle of Sauchieburn, his successor James IV successfully ended the quasi-independent rule of the Lord of the Isles, bringing the Western Isles under effective Royal control for the first time.

Ms. Dunst, also scarily effective as the baby bloodsucker of Interview With the Vampire, is a little vamp with a big future.

With an effective tactical-operational concept, the German air power theorists needed a strategic doctrine and organisation.

With the invention of gunpowder, the traditional methods of defense became less and less effective against a determined siege.

With his command of the strike zone, he remained an effective strikeout pitcher despite the drop in velocity.

With the invention of gunpowder, cannon and ( in modern times ) mortars and howitzers, the traditional methods of defence became less effective against a determined siege.

With the exception of barcodes and OCR data, electronic data storage is easier to revise and may be more cost effective than alternative methods due to smaller physical space requirements and the ease of replacing ( rewriting ) data on the same medium.

With a sinusoidal supply, the core flux lags the induced EMF by 90 ° and this effect can be modeled as a magnetizing reactance ( reactance of an effective inductance ) X < sub > m </ sub > in parallel with the core loss component, R < sub > c </ sub >.

With the small and effective transistor at their hands, electrical engineers of the 50s saw the possibilities of constructing far more advanced circuits than before.

* July 13 – With the death of Henry Benedict Stuart, the last Stuart claimant to the throne of the United Kingdom, the movement of Jacobitism comes to an effective end.

With successive waves of reform, and the introduction of effective evidence-based treatments, modern psychiatric hospitals provide a primary emphasis on treatment, and attempt where possible to help patients control their own lives in the outside world, with the use of a combination of psychiatric drugs and psychotherapy.

With Otto III was still a child and his regent, his mother the Empress Theophanu, absent from Italy, Crescentius II took the title of Patricius Romanorum ( Patrician of the Romans ) and became the effective ruler of the city, though he did not act entirely independent of the imperial authority, presenting himself as a lieutenant of the Emperor.

With regard to phonics, their meta-analysis of hundreds of studies confirmed the findings of the National Research Council: teaching phonics ( and related phonics skills, such as phonemic awareness ) is a more effective way to teach children early reading skills than is embedded phonics or no phonics instruction.

With a rubber ring seal and a smaller bullet, the Chassepot had a maximum effective range of some with a short reload time.

With a like-minded president in the White House, Thurmond became a very effective power broker in Washington.

With the exception of very high temperatures, treatment to reduce fever is often not necessary ; however, antipyretic medications can be effective at lowering the temperature, which may improve the affected person's comfort.

With a knife over the babies, the Tleilaxu Scytale offers to make a ghola of Chani and restore her to life, in exchange for all of Paul's CHOAM holdings and his effective abdication from the throne.

With Muslim traders came not just Islam, but a new technique of social organisation, the sultanate, which replaced local councils of rich men ( orang kaya ) on the more important islands, and proved more effective in dealing with outsiders.