Các mô hình đề xuất ở đây làm cho việc sử dụng của phương trình dẫn nhiệt thoáng qua (9) và gamma phân phối chung (16). Phương trình dòng chảy một chiều có thể được giải quyết bằng phương pháp khác biệt hữu hạn tiềm ẩn như được thảo luận dưới đây trong phần. | Delaware rivers were blocked and General Burgoyne with his British troops was on his way down through the heart of northern New York cutting New England off from the rest of the colonies. No wonder the king was cautious. Then the unexpected happened. Burgoyne hemmed in from all sides by the American forces his flanks harried his foraging parties beaten back his supplies cut off surrendered on October 17 1777 to General Gates who had superseded General Schuyler in time to receive the honor. Treaties of Alliance and Commerce 1778 . News of this victory placed by historians among the fifteen decisive battles of the world reached Franklin one night early in December while he and some friends sat gloomily at dinner. Beaumarchais who was with him grasped at once the meaning of the situation and set off to the court at Versailles with such haste that he upset his coach and dislocated his arm. The king and his ministers were at last convinced that the hour had come to aid the Revolution. Treaties of commerce and alliance were drawn up and signed in February 1778. The independence of the United States was recognized by France and an alliance was formed to guarantee that independence. Combined military action was agreed upon and Louis then formally declared war on England. Men who had a few short years before fought one another in the wilderness of Pennsylvania or on the Plains of Abraham were now ranged side by side in a war on the Empire that Pitt had erected and that George III was pulling down. Spain and Holland Involved. Within a few months Spain remembering the steady decline of her sea power since the days of the Armada and hoping to drive the British out of Gibraltar once more joined the concert of nations against England. Holland a member of a league of armed neutrals formed in protest against British searches on the high seas sent her fleet to unite with the forces of Spain France and America to prey upon British commerce. To all this trouble for .
