By its terms the boundary between Alfred ’ s and Guthrum ’ s kingdoms was to run up the River Thames, to the River Lea ; follow the Lea to its source ( near Luton ); from there extend in a straight line to Bedford ; and from Bedford follow the River Ouse to Watling Street.

By 16: 00, with the enemy troops besieged in Blenheim and Oberglau, the Allied centre of 81 squadrons ( nine squadrons had been transferred from Cutts ' column ), supported by 18 battalions was firmly planted amidst the French line of 64 squadrons and nine battalions of raw recruits.

By the end of his sole rule ( AD 14 ), Augustus had expanded the empire to the line of the Danube river, which was to remain its central / eastern European border for its entire history ( except for the occupation of Dacia 105-275 ).

By 16: 00, Alexander and Swiftsure were also in sight, although some distance from the main British fleet, and Brueys gave orders to abandon the plan to remain at anchor and instead for his line to set sails, although Blanquet protested the order on the grounds that there were not enough men aboard the French ships to both sail the ships and man the guns.

By 18: 00, the British fleet was again under full sail, Vanguard sixth in the line of ten ships as Culloden trailed behind to the north, and Alexander and Swiftsure hastened to catch up to the west.

By his own admission, Hubbard made what he considered was one of the greatest mistakes of his life when he used the biological definition of engram as a " trace on a cell ", which was not in line with the proper biological definition.

By 1935, the company had established a true production line, following the example of Ford, and were producing a car closely resembling the Austin 7.

" By placing the monosyllable mons at the end of the line, Virgil interrupts the usual " shave and a haircut " pattern to produce a jarring rhythm, an effect that echoes the crash of a large wave against the side of a ship.

By 2003 the line had been restored from Massawa all the way through to Asmara.

" By June 1947, the Central Committee of Yugoslavia began publicly condemning Hoxha, accusing him of talking an individualistic and anti-Marxist line.

By 4 July, the Australian 9th Division had entered the line in the north, and on 9 July Indian 5th Infantry Brigade also returned taking over the Ruweisat position.

* 1502 10 July – By a Royal Warrant passed in Toledo by Isabella I of Castile, Gibraltar was granted its coat of arms: " An escutcheon on which the upper two thirds shall be a white field and on the said field set a red castle, and below the said castle, on the other third of the escutcheon, which must be a red field in which there must be a white line between the castle and the said red field, there shall be a golden key which hangs by a chain from the said castle, as are here figured ".

By the baroque period, in Italy and Spain, more strings were added to allow for chromatic notes ; these were usually in a second line of strings.

By looking at the place where the sun shadow from the rod falls on a carved curve, a navigator is able to sail along a line of latitude.

By excluding the Bavarian line of Ottonians from the line of succession, Otto's son and successor Otto II, Holy Roman Emperor strengthened Imperial authority and secured his own son's succession to the Imperial throne.

By the time of the First World War, the mass advertising and popularity of the Victor Talking Machine Company's Victrolas ( a line of disc-playing machines characterized by their concealed horns ) was leading to widespread generic use of the word " victrola " for any machine that played discs, which were however still called " phonograph records " or simply " records ", almost never " victrola records ".

By June 2012, a hundred-foot-tall reinforced concrete monolith had been completed, the first of 46 such monoliths which will line the new Pacific-side lock walls.

By 1994, sales of CD-i systems had begun to slow, and in 1998 the product line was dropped.

By definition, real analysis focuses on the real numbers, often including positive and negative infinity to form the extended real line.

By analogy, a similar graph depicting the progress of a string as time passes by can be obtained ; the string ( a one-dimensional object — a small line — by itself ) will trace out a surface ( a two-dimensional manifold ), known as the worldsheet.

By dividing the difference in y-coordinates by the difference in x-coordinates, one can obtain the slope of the line:

By moving the two points closer together so that Δy and Δx decrease, the secant line more closely approximates a tangent line to the curve, and as such the slope of the secant approaches that of the tangent.

By focusing consciously on an idea, feeling or intention the meditant seeks to arrive at pure thinking, a state exemplified by but not confined to pure mathematics.

By contrast with empiricism and idealism, which emphasize the epistemologically privileged status of sense data ( empirical ) and the primacy of Reason ( theoretical ) respectively, modern rationalism adds a third ' system of thinking ', ( as Gaston Bachelard has termed these areas ) and holds that all three are of equal importance: The empirical, the theoretical and the abstract.

By contemplating on the twelve links, one gains greater insight into the workings of karma ; this insight enables us to begin to unravel our habitual way of thinking and reacting.

By 2000, theorizing " democracy to come ," and thinking the limitations of existing democracies, had become important concerns.

By thinking of the airframe as a whole, and not just the sum of its parts, it made sense to adopt a monocoque structure and it did not take long for various companies to adopt practices from the boat industry such as laminating thin strips of wood.

By said logic at some point the solipsist may have either evolved into a thinking being, or the solipsist created the laws that permit the solipsist's primal attributes to be explained to begin with.

By the end of the 19th century European intellectuals were disposed toward thinking of the world in generational terms, and in terms of youth rebellion and emancipation.

By renouncing the Protestantism he had so conspicuously stood for, Northumberland lost every respect and became ineligible for rehabilitation in a world dominated by thinking along sectarian lines.

By mimicking a news broadcast, the show was quite realistic sounding for its time, and some listeners were fooled into thinking that a Martian invasion was underway in the United States.

Later, when thinking back on the French campaign, Richard asks Henry, " Have we not lost most part of all the towns / By treason, falsehood and by treachery " ( 5. 5. 108 – 109 ).

By pushing for an end to the so-called oppressive patriarchal marriage, thinking that it would be best if the newly liberated women could just be freelovers and have sex with random partners outside the so-called oppressive patriarchal marriage system.

By condensing his force into dense formations, he tricked Caesar into thinking he had only foot soldiers, was able to rout Caesar ’ s cavalry and surround Caesar ’ s army.

By the 1940s, thinking had begun to change about the underlying assumptions, and in 1949, the church began to close the schools in its care.

IDEO's current CEO Tim Brown published a book on design thinking called Change By Design ( co-written with Barry Katz ).

By clearly ascertaining the pain-giving nature of certain habits of thinking and acting, we send a strong message to our sub-conscious mind to be alert the next time this thought pattern occurs

By mid-century, such thinking, termed Laxism, was recognized as scandalous.

By the end of 1983, his thinking had shifted markedly to the economic right.

By this I mean a peculiarity of thinking and feeling which is the antithesis of abstraction ” ( Jung, 1971: par.

By 2004 he had reversed that pledge, stating that " A thinking person is allowed to change their mind.

By fostering learners ’ critical reflection and experience in discourse, autonomous thinking is possible.

By assigning " energy values " to the various psychological components of information metabolism, Augustinavičiūtė created a mathematical theory of thinking.

By the middle of the 1970s, encouraged by the head of bond research at Salomon, Marty Liebowitz, traders began thinking about bond yields in new ways.

By contrast he discussed and commended the arguments in four separate papers by Thomson, noting that collectively these proved that “ Thomson is not a ‘ one-trick pony ’ obsessed with population to the exclusion of other important issues, but a politician who is thinking deeply about our security and ways to ensure a better future ”.

By using different cognitive, emotive and behavioral methods and activities, the client, together with help from the therapist and in homework exercises, can gain a more rational, self-helping and constructive rational way of thinking, emoting and behaving.