An alternative concept is that they formed closer to the Sun, where the matter density was higher, and then subsequently migrated to their current orbits after the removal of the gaseous protoplanetary disc. This hypothesis of migration after formation is favoured, due to its ability to better explain the occupancy of the populations of small objects observed in the trans-Neptunian region. The current most widely accepted explanation of the details of this hypothesis is known as the Nice model, which explores the effect of a migrating Neptune and the other giant planets on the structure of the Kuiper belt.
If Neptune formed closer to the sun, what is the matter density?
higher

Due to recording mastering and manufacturing limitations, both high and low frequencies were removed from the first recorded signals by various formulae. With low frequencies, the stylus must swing a long way from side to side, requiring the groove to be wide, taking up more space and limiting the playing time of the record. At high frequencies, hiss, pops, and ticks are significant. These problems can be reduced by using equalization to an agreed standard. During recording the amplitude of low frequencies is reduced, thus reducing the groove width required, and the amplitude at high frequencies is increased. The playback equipment boosts bass and cuts treble so as to restore the tonal balance in the original signal; this also reduces the high frequency noise. Thus more music will fit on the record, and noise is reduced.
What is a benefit of using equalization devices?
problems can be reduced

Although the doctrine of Mary's Immaculate Conception appears only later among Latin (and particularly Frankish) theologians, it became ever more manifest among Byzantine theologians reliant on Gregory Nazianzen's Mariology in the Medieval or Byzantine East. Although hymnographers and scholars, like the Emperor Justinian I, were accustomed to call Mary "prepurified" in their poetic and credal statements, the first point of departure for more fully commenting on Nazianzen's meaning occurs in Sophronius of Jerusalem. In other places Sophronius explains that the Theotokos was already immaculate, when she was "purified" at the Annunciation and goes so far as to note that John the Baptist is literally "holier than all 'Men' born of woman" since Mary's surpassing holiness signifies that she was holier than even John after his sanctification in utero. Sophronius' teaching is augmented and incorporated by St. John Damascene (d. 749/750). John, besides many passages wherein he extolls the Theotokos for her purification at the Annunciation, grants her the unique honor of "purifying the waters of baptism by touching them." This honor was most famously and firstly attributed to Christ, especially in the legacy of Nazianzen. As such, Nazianzen's assertion of parallel holiness between the prepurified Mary and purified Jesus of the New Testament is made even more explicit in Damascene in his discourse on Mary's holiness to also imitate Christ's baptism at the Jordan. The Damascene's hymnongraphy and De fide Orthodoxa explicitly use Mary's "pre purification" as a key to understanding her absolute holiness and unsullied human nature. In fact, Damascene (along with Nazianzen) serves as the source for nearly all subsequent promotion of Mary's complete holiness from her Conception by the "all pure seed" of Joachim and the womb "wider than heaven" of St. Ann.
In what way did this Ruler refer to Mary  in his writings ?
to call Mary "prepurified"