He was the son of Eurycleides, and was chosen as commander in 480 BC because the Peloponnesian city-states led by Sparta, worried about the growing power of Athens, did not want to serve under an Athenian despite the Athenians ' superior naval skill.

The Athenian fleet in the Hellespont withdrew from its base at Sestos to Cardia to avoid the superior Spartan force, and ships under Alcibiades, Theramenes, Thrasybulus that had been dispatched to raise money combined with this force, creating a fleet of 86 ships.

Alexander made a request for a number of Athenian warships which Phocion supported, saying: " You should either possess superior strength or side with those that do.

In the battle, an Athenian fleet commanded by Thrasybulus and Thrasyllus, although initially thrown on the defensive by a numerically superior Spartan fleet, won a narrow victory.

Drawn into the narrow waters of the Corinthian gulf to protect Naupactus, the Athenians were initially routed and divided, but 11 Athenian ships which were pursued into Naupactus were able to turn about on their pursuers and defeat the numerically superior force opposite them.

The Athenian general Pericles recommended that his city fight a defensive war, avoiding battle against the superior land forces led by Sparta, and importing everything needful by maintaining its powerful navy.

To counter the Spartans ' superior skill and maneuverability, the Athenian commanders implemented several new and innovative tactics.

" In discussing the Athenian democracy, after noting that a great number of the population were actually enslaved, he went on to say, " Nor were the superior classes in the actual enjoyment of a rational liberty and independence.

By the mid 6th century BC, the quality of Corinthian ware had fallen away significantly to the extent that some Corinthian potters would disguise their pots with a red slip in imitation of superior Athenian ware.

They hoped to keep the Spartans at bay while the superior Athenian navy harassed Spartan troop transports and cut off supply lines.

Some Allied officers who were acquainted with the superior numbers of the enemy, and aware of their strong defensive position, ventured to remonstrate with Marlborough about the hazards of attacking ; but the Duke was resolute – " I know the danger, yet a battle is absolutely necessary, and I rely on the bravery and discipline of the troops, which will make amends for our disadvantages ".

However, the lack of manoeuvrability of the British forces, combined with lack of open-field tactics to command these numbers, put them at a disadvantage to the Romans, who were skilled at open combat due to their superior equipment and discipline.

Simon's greatest triumph was the victory against superior numbers at the Battle of Muret — a battle which saw not only the defeat of Raymond of Toulouse and his Occitan allies — but also the death of Peter of Aragon — and the effective end of the ambitions of the house of Aragon / Barcelona in the Languedoc.

Because of the importance of air superiority, since the dawn of aerial combat armed forces have constantly competed to develop technologically superior fighters and to deploy these fighters in greater numbers, and fielding a viable fighter fleet consumes a substantial proportion of the defense budgets of modern armed forces.

The day ended once again with the Afrika Korps and Ariete coming off second best to the superior numbers of the British 22nd Armoured and 4th Armoured Brigades, frustrating Rommel's attempts to resume his advance.

The savages do not stand out, despite their superior numbers, because they are holy, and to be " holy " is to be in accord with the natural order of the world.

" Hengist promises the men victory and safety, reasoning that the Saxon numbers are superior, being 200, 000 men.

In 1862, the Union Army of the Potomac began its Peninsula Campaign against Richmond, Virginia, and Stuart's cavalry brigade assisted Gen. Joseph E. Johnston's army as it withdrew up the Virginia Peninsula in the face of superior numbers.

They faced starvation and possible annihilation by the superior numbers of Mexican troops.

This increase in weight affected the performance of the Fw 190 and Bf 109 at a time when the two aircraft were meeting large numbers of equal if not superior Allied types.

In the battle that followed, the British were routed despite their superior numbers ; Cadwallon himself was killed.

Outgunned by a mighty empire, the Boers waged a guerilla war, which gave the British regulars a difficult fight, although weight of numbers, superior equipment, and often brutal tactics eventually brought about a British victory.

However, Roger of Lauria had learned of his plans, and Charles found himself engulfed by superior numbers.

Arminius, who had grown up in Rome as a citizen and become a Roman soldier, understood Roman tactics very well and could direct his troops to counter them effectively, using locally superior numbers against the dispersed Roman legions.

Overcoming Yuan Shao's superior numbers, Cao Cao decisively defeated him by setting fire to his supplies, and in doing so crippled the northern army.

If the terms in the sequence are real numbers, the limit superior and limit inferior always exist, as real numbers or ±∞ ( i. e., on the extended real number line ).

In mathematical analysis, limit superior and limit inferior are important tools for studying sequences of real numbers.

Assume that the limit superior and limit inferior are real numbers ( so, not infinite ).

He used small forces to trap an invading English army, took castles by stealth to preserve his troops and he used the land as a weapon against Edward by attacking quickly and then disappearing into the hills instead of facing the superior numbers of the English.

However, Edward had made a serious mistake in thinking his vastly superior numbers alone would provide enough of a tactical advantage to defeat the Scots.

On May 1, Hooker advanced from Chancellorsville toward Lee, but the Confederate general split his army in the face of superior numbers, leaving a small force at Fredericksburg to deter Maj. Gen. John Sedgwick from advancing, while he attacked Hooker's advance with about 4 / 5ths of his army.

But Grant chose to set up his camps to the west of the old battle site before moving southward ; unlike the Union army of a year before, Grant had no desire to fight in the Wilderness, desiring to move to the open ground to the south and east of the Wilderness before fighting Lee, taking advantage of his superior numbers and artillery.

On 14 October another French convoy, protected by a strong squadron, was intercepted by a well-appointed and well-directed squadron of superior numbers – the squadrons were respectively eight French and fourteen British – in the Bay of Biscay.

The Portuguese 2nd Division fought against Germany's superior numbers and though the unit was almost completely lost, the Portuguese fought on.

Even so, Al-Andalus remained vastly superior to all the northern kingdoms combined in population, economy and military might ; and internal conflict between the Christian kingdoms contributed to keep them relatively harmless.

British policy, stated in the Naval Defence Act of 1889, was to maintain a navy superior to Britain's two largest rivals combined.

Emma Peel, whose husband went missing while flying over the Amazon, retained the self-assuredness of Gale, combined with superior fighting skills, intelligence, and a contemporary fashion sense.

He argued that the higher standards of Swiss schools, including a longer school day and year, combined with an approach stressing student choice and academic specialization produced superior results.

In 1905, the Royal Navy was superior to any two navies combined in the world.

Its performance is superior to C and rivals Fortran, according to some sources, combined with efficient and automatic parallelization.

When combined with ribavirin, pegylated interferon-alpha-2a may be superior to pegylated interferon-alpha-2b, though the evidence is not strong.

The cities of Harappa and Mohenjo-daro become large metropolises and the civilization expands to over 2, 500 cities and settlements across the whole of Pakistan, much of northern India, and parts of Afghanistan and Iran, covering a region of around one million square miles, which was larger than the land area of its contemporaries Egypt and Mesopotamia combined, and also had superior urban planning and sewage systems.

Discovered by accident to have superior heat shielding properties when combined with other materials, coke was one of the materials used in the heat shielding on NASA's Apollo program space vehicles.

Her superior intelligence combined with diligent study left her exceedingly well-versed in all the arts and sciences, and in philosophy.

While not the originator of the methods he used, Napoleon very effectively combined the relatively superior maneuver and battle stages into one event.

Grant was temporarily disgraced by the surprise attack and near defeat, causing his superior, Maj. Gen. Henry W. Halleck, to assume field command of the combined armies.

) In 1905, the Royal Navy was superior to any other two navies in the world, combined.

The document announced that there was now an opportunity for the transmission of " a secret, hidden, special, superior form of knowledge "; combined with the personal impression Bennett formed of Shah, it convinced Bennett that Shah was a genuine emissary of the " Sarmoung Monastery " in Afghanistan, an inner circle of Sufis whose teachings had inspired Gurdjieff.

Though an epidemic of smallpox took its toll on the Aztecs, Cortes ' conquest was the culmination of Spanish strategy in the Americas: He used promises to gain native allies, and he combined superior technology with patience while he struck at Tenochtitlan from the sea.

Xiao Ke fared no better: although his force initially managed to break through and then reached He Long's communist base in Hubei, but even with their combined forces, they were unable to challenge the far superior nationalist force besieging the Jiangxi Soviet, never to return until the establishment of the People's Republic of China 15 years later.

This, combined with the British technique of firing by companies ( a method wherein blocks of men fired smaller volleys in succession, creating a wave of fire down the front of the regiment ), made it possible for the British to win pitched battles against far superior numbers.

The lower seat density in BEA's re-configured Viscounts combined with higher flight frequencies, superior catering and increased promotion proved insufficient to counter the appeal of Pan Am's new jets, despite these being laid out in a comparatively tight, pitch seating configuration.

It faced the combined forces of the numerically and materially superior Soviet 3rd and 15th Armies.

But the combined forces were cannon fodder for the Persian cavalry and its superior weaponry and tactics.

This concentration made the initial Ottoman invasion very difficult and in the end fruitless, when combined with local uprisings, superior European technology, and lack of effective Ottoman leadership.

CA-Sort's superior performance ( mostly on the DOS / VSE computing platform ) and modest price, combined with the sales acumen of Charles Wang, led to rapid growth in the large and lucrative North American market.

Because Sweezy ’ s approach combined integrated the micro effects of monopoly with the macro level insights of Keynesian theory it proved superior for understanding the stagflation of the 1970s.