There is constant debate and struggle within religious discussion about faith and miracles. We are commanded in several places not to be a "sign-seeking" people, but to have faith through impressions from the Holy Ghost. Korihor, the Anti-Christ spoken of in the Book of Mormon wanted a sign from God, and in return, he was smitten dumb. Today, many people say to themselves, if God would just show me a sign then I would believe.
A great number of people spoken of in the scriptures and in present-day life who do receive signs do not believe, however. Think of the hypocrites written of in the Gospels who criticized Jesus for telling a crippled many that his sins are forgiven. Christ turned to them and asked why they would have such feelings in their hearts. Then, to show them that the Son of Man has power to forgive sin, he healed the crippled man from his ailment, and the man "took up his bed" and walked. Did this change the hearts of the hypocrites? What about Nephi's brothers, Lamen and Lemuel. As the savagely beat Nephi and multiple occasions, the Lord intervened and rebuked the brothers for what they did, yet they had no faith.
Even the early apostles of the Lord had little faith after seeing so many miracles. After the death of Christ, Thomas, who had been with Jesus on multiple occasions, did not believe the words of his fellow apostles that Jesus had been resurrected. He wanted proof... hard evidence that Jesus had indeed fulfilled the commandments that he told them he would.
In John 2:23-25 it reads, "Now when he was in Jerusalem at the passover, in the feast day, many believed in his name, when they saw the miracles which he did. But Jesus did not commit himself unto them, because he knew all men,

and needed not that any should testify of man: for he knew what was in man." He knows our hearts and he knows the sincerity and source of our belief.
As a student of the physical sciences, I am often looking for physical proof of everything I do. I want to see immediate application of the principles I am learning, and demonstrations that prove that these scientific principles (some of them counter-intuitive) are indeed accurate. Faith has not always come easily or quickly for me, but my testimony has been founded on real and powerful experiences. Faith is the refreshing trust that I have that God is true and will keep His promises and that He knows and loves us more than we know and love ourselves.