The correspondent of the New York Herald describes the oporations leading up to the batüo between the troopf under Gen. Miles and Sitting Buil, and describes the battle. A.9 the G-eneral's eommand was on the march índians ap proachod with a flag of trace. A conference was held with the chiefs, bul this was finolly broken up by Sitting Buil, who announced his doterniination to figüt. Both partios then retired, ano Gen. Miles inoved on the Indian camp. The correspondent describes : Ou every knoll, dispersed through the wholo fiold, appeared the savage forms of the Sioux. Hither and thither, to and fro, were riding perturbed horsemen like a nest of ants when routed. Even beyond the heavy nmss on the divide appearod another mass, doubly massive and heavy and black, which even a glass could only make out an immense throng, without being able to detect riders, A more rnagmficont spectacle was never beheld, ör a sceñe inore worthy the brush of painter or pencil of artist. On the knoll immediately in front of the flrst were assembled the bearers of the white flag. One company and most of the offlcers went forward between the two forces. Indians soon swarroed to that point by the dozen ; but üo meeting could be arranged here, so Gen. Miles directed that it should tab e place on a small hillock immediatelyjn front of his line, and tbatSittjng Bull.draw típ Vijs Jidb oh the otlier sido. Tilia was substantially agreed to, and the two parties met at mis point, with the two lines duly formed. Aloag, oarnest,.and eaeer conference bogíin lilis time, SVitla a little anxieiy on the side of the Fifth, by reason of officers and men going back and forth. This conference was even more protracted than on the day before, the Sioux showing their anxiety for the result by constantly riding to the council circle, eagerly conBultinc; eaoh other, and then retürniiig to their eriiinence, the Üne of warriors that had been formed being entirely broken up by these movements. After long, anxious consultation, many of the chiefs were found willing to agree to the terniB, one offering to go himself as hostage if his tribe wonld He allowed to hunt buffalo awhile. At this point, however, Sitting Buil angrily broke up the conference, preferring fight to yielding. Each party retired to its own side. Gen. Miles sent a final word to Sitting Buil to let him have his answer promptly or he would open upon him with his guns. No answer was returned. As Gen. Miles and his party moved slowly back to his Knes, the Indians on the plains withdrew to the b.eights, and crowned thefie aild íh higli $round beyond the rócks in front, lïorti the prudent precautions taken by Gen. Miles against surprise or treachery to his eommand, the Indians seemed to have had an idea he would rather awaitthan make an attackj so they watched with extreme eagerness his first nlovements. Á moment sufficed for preparation, and when the wished-for eommand to move forward was given every officer and soldier joyfully responded and their eagerness 3ould soarcely be restrained. Maj. Oasey, withOompany A, was directed to move along and clear the ridge on the left, Oapt. Carter, with Oompany K, to clear a high knoll on the right, Oapt. Snyder, with Company Fj to guard the Rodman gun, while the line advanced direct to the front. The advance was not handsomely done, owing to the too grtat eagerness to get forward. After idvaucing a few hundred yards line was deployed as skirmishers, opening up íike a fan. The deployment was beautiiully made in perfect order, sweeping over the ground with its long, waving üne, climbing the huls and descending the valleys like a long ripple over the billows. Capt. Carter's company, which had been ordered to cwry the height on the right, crownod by about seventy-ñve Indians, without flring, moved steadily forward, closing upen the Sioux. The latter gave way before the little line without ventuiing a shot. Meanwhile the maiu line was rapidly advancing. Company A, moving steadily, swept aside the few Indiana on the left ridge. The line had now reaehed the creek, beyond which was the battle field. On the precipitous rise immediately before us, composed of high, gravelly knolls, were the main body of Sioux. The ravine of the stream divided to the right, one portioD running far to the right, the other extending to the north and left along the advance. On the left of this branch was a rery high ridge, commanding the wñole pJan oí tne field, and distan t ir om the ravine a few hundred yards. This was covered by Indians. The prairie beyond the heights, on which the main body of the Sioux bad taken up position, was rolling, aa usual, each swell risintr higher for several miles. The ground on the right of the right branch of the streani was similar to the one on the left, but not so high." The plan of the Indiana, it appeared now, was to get the Fifth regiment to pass the maiu forcé, and thus b come entaBgled in the ravines and low ground, while by erowning the surrounding heights they would be enabled to pour a concéntrate fire on the mass and repoat the Custcr butchery. Gen. Miles was not the man to be thus intrapped, and by Oapts. Carter and Casey's moves defeated the firsfc part of the programme. His plan was as perfect as its execution was complete. The line was now inoving out of the ravine and up tho precipitous knolls, the Indians giving way gradually anc easily in front, not yet uring a shot, the armistico appartntly restraining both f orces. Tho line now rcoved out of tho ravines and up the Drecipitous grave buttes in the following order : Oapt Casey, wtth Oompany A ; Bennett, with B : Lymans, with I ; Butler, with O C.irter, with K. In the line Lieutenantf Pope and Rosseau, with H ; Forbcs with G. In reserve, C.ipt. Snyders with F, in charge of the Rodman gun and McDonald, with D, in rear of the traiD. As the line approached the sum mit of the height the Sioux began their wild war danco in our front. This was tho flrst hostile demon stration. Mauy might have beeu killot now by the Rodman gun, bufc that the dislike to bc the flrst to break the armistice prevailed with Gen. Miles. The Rod man gun was pushcd forward on the right, and all was nioving forward in good order, when a shot from the rear passed through Lieut. Pope's company and was at onco returned by the eage: meu, who were tired of waiting. This oompany was at oübe ordered to cleai the ravinos and knolls from whence the shot oftoae, ïieuti. Koiwseaii, with Oom pany K, was ordered to take the lef tand Carter the right ravine. At the same time the line advanoed rapidly, the main front, when the Sioux dashed in ciroles along tilo front deliverin a rapid flre, and tbcn disnppearing belüfid the swells. Their riding was magnificent, but the fire was quite ineffeetive. While this was taking place the flank movementa advanoed apace. Company K sooii alentad the ravines, Carter and Lyman doüig the saine ön thn right, where they eneountered heavy flring in passing through what had been the camp of Sitting Bull's band. Meaiiwhile the gallant Bosseau, worthy of hia gi-eat brother's reputation, moved straight up the lotty height under a rapid fire until he reachëd th5 sutnmit and secured the key of the field. It was handsomely done, and without loss of life, aided by the booming of the Rodman. The Sioux, now driven from every important point, flanked and foiled, made wide oírcíes and many came around to the réaf or flank and rear of Company E, which ñau b'eèn ordered to remain with the train until it was out of danger. These lndians in the rear took possession of eaoh height, and dismöuntiüg did somo close flring. Here Mergt. McPhelan, Company E, was wounded severely from a shot. The lndians now firod the prairies in front, and amid the lurid flames the fight continued untü no Sioux remained to oppose the advance. Company E was then direeted to clear the ravine on the lef t rear, wheïe water wfts to be fonnd, of the few lndians collected there, while the command moved back and campel on the high ridge. Ití tMs ftoti'! on]y two men were wounded, this being due io the fact that the fire of tho Indianswas so well kept down by the new arms and good marksmeu. Sergt. McPhelan, shot by a shavpshooter in the rear, and one private óf Cömpüny I rías the total loss of the ?ifth regiment. Of the number actualy engaged, or the loss incurred on the side of tho lndians, it is impossible to speak with any certainty. The Fifth ïad 398 all told, and the Iudians cerainly greatly outnumbered these. Siting Bull's forces are estimated at 600 oñ the Öeld, btit did not take part in the flght. It has since been heard that there were tliree bands, in all 1,500 warriors, of which only a few took part. Six dead ndians were seen lying on the field ; )tlt, aa they had full opportunity ta arry ofT thèiï defd befoie. . the could )e reached by the troops, it is iëasanable to believe a great number were ViHod. Whatever their loss in killed may -nave been, moe severe was the oss of several tons of dried bufïalo meat and a arge amount of camp equipage. Tor this they had fought, and by the oss of the fight the prestige of Sitting ?ull was diminished. His punishment 'or the destruotion of a gallant band of avalry was accomplished by infantry lOnej Hot tt Cftva'.ry soldie oi nffioor ieing on the field in this eilgagëment. 3en. Miles displayed that s :perb handng of troops that distinguished him uiing the war, and on the Southern jlains. The lndians were so completey baffled by tlie rapidity of his movemeats as to be nnable to make any formidable opposition. The nest morning he sun appeared early, and a fight ocurred with the pickets of Company E, rising from the chasing and nearly oapiuring of one man who was straggling ; jut the lndians were speedily driven off. The main trail was then resumed ttd pressed rapidly to the Yellowstone. continued most of the day. ?he prairie is belng fied al), along the ine of march, and ponies arxd lodge )oles picked up all the way. The im)ortance of the aböve engagement and rarsuit wilt finally appear in the fact ,hat this day the whole of the Minneconjous and Sans Ares have surrendered and given five of their principal chiefs - ied Skirt, Black Eagle, Sunrise, Siting Ertgle, White Buil, and Foolish ïull - to Gen. Miles as hostages that hey will go at once on to Cheyenne Agency. They givo the number of their odges as 1,300, but this is considerabiy overestimated. These chiefs ieare tonight, undor guard, for Cheyenne Agency, via Bnford. These tribes jroke from Sitting Buil immediately after the fight, he gomg with a few lodges towftrd Fort Peck. Too much credit cannot be given Gen. Miles for his energy and ability in this -whole campaign. The (Jreatest Banks. The paid-np capital of the Nevada Bank, $10,000,000 in gold coln, stands, with the exception of the Bank of Commerce of New York, unequaled by that of any bank of the United States. The Bank of Commerce has also a capit'al of $10,000,000, but it is in currency. The larpest bank in Canada is the Bank of Montreal, with a capital of $12,000,000. The Merchante Bank, in the same city, has a capital of $8,000,000. The following is a list of the only banks in the United States with a capital of $5,000,000 and tipward ; Bank of Commerce, New York, $10,000,000; Nevada Bank, San Francisco, $10,000,000; C. B. E. and Banking Conipany, Savannah, $7,500,000 ; Bank of California, San Francisco, $5,000,000; Merchants' Exchange Bank, San Francisco, $5,000,000; American Exchange, New York, $5, 000, 000 ; Fourth National, New York, $5,000,000. Itwill be seen that San Francisco now stands on a par with New York as a great banking center, and the indications are that in time the builion trade of the world will bo controlled by that city instead of London, as heretofore. The Nevada' Back, only a yeal' in oxistence, has been such ft success that it enters on its second year with doubled capital and tho best wishes of the mercantile cornmunity. English and American (Jutlery. The anxiety in Sheffield about their trade with America is founded upon very good reasons. Itappears that duriug the three months ending with September 3, their exports to this country feil off over $250,000 compared with the correspondiug period of 1875, tho docline having been from about $915,000 to about $645,000. The previous goorter this year exhibited a decline of alrnost precisely the same amount, $250,000, and this sort of thing has been going on steadily for four years past. The decline is in three of the chief branches of Sheffield indufitry - steel, cutlery and flles. In tho tooi trado, heretofore showing au equal decline, the exports tbis year show a slight increase. If this decline goes on mucli Ionger the entiro Sheffield export trade to America will be annihilated, and for the reason, as plainly stated in a London contomporary, that "the Americana árenos manufaoturing their own stee], cutkys tools, and all kinds of harr]fè." In Philadelphia a, ips8 drewmakef ï caliod a forelady.