It seems certain that Mexico must ultimately submit to such terms of peace as the United States shall dictate. An heterogeneous population of seven millions, with very limited resources and no credit; distracted by internal dissensions, and by the ambition of its chiefs, a prey by turns to anarchy and to military usurpers; occupying among the nations of the civilized world, either physically or mentally, whether in political education, social state, or any other respect, but an inferior position; cannot contend successfully with an energetic, intelligent, enlightened and united nation of twenty millions, possessed of unlimited resources and credit, and enjoying all the benefits of a regular, strong, and free government. All this was anticipated; but the extraordinary successes of the Americans have exceeded the most sanguine expectations. All the advanced posts of the enemy, New Mexico, California, the line of the lower Rio Norte, and all the sea ports, which it was deemed necessary to occupy, have been subdued. And a small force, apparently incompetent to the object, has penetrated near three hundred miles into the interior, and is now in quiet possession of the far-famed metropolis of the Mexican dominions. The superior skill and talents of our distinguished generals, and the unparalleled bravery of our troops, have surmounted all obstacles. By whomsoever commanded on either side; however strong the positions and fortifications of the Mexicans, and with a tremendous numerical superiority, there has not been a single engagement, in which they have not been completely defeated. The most remarkable and unexpected feature of that warfare is that volunteers, wholly undisciplined in every sense of the word, have vied in devotedness and bravery with the regular forces, and have proved themselves, in every instance, superior in the open field to the best regular forces of Mexico. These forces are now annihilated or dispersed; and the Mexicans are reduced to a petty warfare of guerillas which, however annoying, cannot be productive of any important results.