Input: Article: If a capacitor is driven with a time-varying voltage that changes rapidly enough, at some frequency the polarization of the dielectric cannot follow the voltage. As an example of the origin of this mechanism, the internal microscopic dipoles contributing to the dielectric constant cannot move instantly, and so as frequency of an applied alternating voltage increases, the dipole response is limited and the dielectric constant diminishes. A changing dielectric constant with frequency is referred to as dielectric dispersion, and is governed by dielectric relaxation processes, such as Debye relaxation. Under transient conditions, the displacement field can be expressed as (see electric susceptibility):

Now answer this question: Under what condition might the polarization of the dielectric be unable to follow the voltage?

Output: driven with a time-varying voltage that changes rapidly


Article: In Charleston, the African American population increased as freedmen moved from rural areas to the major city: from 17,000 in 1860 to over 27,000 in 1880. Historian Eric Foner noted that blacks were glad to be relieved of the many regulations of slavery and to operate outside of white surveillance. Among other changes, most blacks quickly left the Southern Baptist Church, setting up their own black Baptist congregations or joining new African Methodist Episcopal Church and AME Zion churches, both independent black denominations first established in the North. Freedmen "acquired dogs, guns, and liquor (all barred to them under slavery), and refused to yield the sidewalks to whites".

Question: How many African American lived in Charleston in 1880?
Ans: 27,000


Here is a question about this article: The city had surrendered without a fight to the invading Moors (Berbers and Arabs) by 714 AD, and the cathedral of Saint Vincent was turned into a mosque. Abd al-Rahman I, the first emir of Cordoba, ordered the city destroyed in 755 during his wars against other nobility, but several years later his son, Abdullah, had a form of autonomous rule over the province of Valencia. Among his administrative acts he ordered the building of a luxurious palace, the Russafa, on the outskirts of the city in the neighbourhood of the same name. So far no remains have been found. Also at this time Valencia received the name Medina al-Turab (City of Sand). When Islamic culture settled in, Valencia, then called Balansiyya, prospered from the 10th century, due to a booming trade in paper, silk, leather, ceramics, glass and silver-work. The architectural legacy of this period is abundant in Valencia and can still be appreciated today in the remnants of the old walls, the Baños del Almirante bath house, Portal de Valldigna street and even the Cathedral and the tower, El Micalet (El Miguelete), which was the minaret of the old mosque.
What is the answer to this question: What did Abdullah have built outside Valencia?
****
So... the Russafa


The problem: Answer a question about this article:
The first commercial LEDs were commonly used as replacements for incandescent and neon indicator lamps, and in seven-segment displays, first in expensive equipment such as laboratory and electronics test equipment, then later in such appliances as TVs, radios, telephones, calculators, as well as watches (see list of signal uses). Until 1968, visible and infrared LEDs were extremely costly, in the order of US$200 per unit, and so had little practical use. The Monsanto Company was the first organization to mass-produce visible LEDs, using gallium arsenide phosphide (GaAsP) in 1968 to produce red LEDs suitable for indicators. Hewlett Packard (HP) introduced LEDs in 1968, initially using GaAsP supplied by Monsanto. These red LEDs were bright enough only for use as indicators, as the light output was not enough to illuminate an area. Readouts in calculators were so small that plastic lenses were built over each digit to make them legible. Later, other colors became widely available and appeared in appliances and equipment. In the 1970s commercially successful LED devices at less than five cents each were produced by Fairchild Optoelectronics. These devices employed compound semiconductor chips fabricated with the planar process invented by Dr. Jean Hoerni at Fairchild Semiconductor. The combination of planar processing for chip fabrication and innovative packaging methods enabled the team at Fairchild led by optoelectronics pioneer Thomas Brandt to achieve the needed cost reductions. These methods continue to be used by LED producers.
In what decade were production costs greatly reduced for LEDs to enable successful commercial uses?
****
The answer: 1970s


Problem: Please answer a question about the following article about Computer:
The Manchester Small-Scale Experimental Machine, nicknamed Baby, was the world's first stored-program computer. It was built at the Victoria University of Manchester by Frederic C. Williams, Tom Kilburn and Geoff Tootill, and ran its first program on 21 June 1948. It was designed as a testbed for the Williams tube the first random-access digital storage device. Although the computer was considered "small and primitive" by the standards of its time, it was the first working machine to contain all of the elements essential to a modern electronic computer. As soon as the SSEM had demonstrated the feasibility of its design, a project was initiated at the university to develop it into a more usable computer, the Manchester Mark 1.
Who built the Manchester Small-Scale Experimental Machine?
A: Frederic C. Williams, Tom Kilburn and Geoff Tootill


Question: Read this and answer the question

The considerable spending did not lead to more growth and did not benefit the poor. Much of the increased spending has gone to current expenditures related to wages, transfers, and subsidies. The wage bill today constitutes over 15% of GDP and 55% of total public spending; these are some of the highest levels on the African continent. The recent rapid growth in SACU revenues has, however, reversed the fiscal situation, and a sizeable surplus was recorded since 2006. SACU revenues today account for over 60% of total government revenues. On the positive side, the external debt burden has declined markedly over the last 20 years, and domestic debt is almost negligible; external debt as a percent of GDP was less than 20% in 2006.

What has happened to debt external onus  in Swaziland in the past two decades?
Answer:
declined markedly