Christianity

Reference: The World’s Religions

  1. The Historical Jesus
  2. The Christ of Faith
  3. The End and the Beginning
  4. The Good News
  5. The Mystical Body of Christ
  6. The Mind of the Church
  7. Roman Catholicism
  8. Eastern Orthodoxy
  9. Protestantism
  10. Suggestions for Further Reading

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Buddhism

Reference: The World’s Religions

  1. The Man Who Woke Up
  2. The Silent Sage
  3. The Rebel Saint
  4. The Four Noble Truths
  5. The Eightfold Path
  6. Basic Buddhist Concepts
  7. Big Raft and Little
  8. The Secret of the Flower
  9. The Diamond Thunderbolt
  10. The Image of the Crossing
  11. The Confluence of Buddhism and Hinduism in India
  12. Suggestions for Further Reading

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HINDUISM: Appendix on Sikhism

Reference: Hinduism

Note: The original Text is provided below.
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Sikhism reaches the most reasonable theological compromise between the Hindu and Muslim faiths. It rejects caste distinctions, images as aids to worship, the notion of avatars, and the sanctity of the Vedas.

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Summary

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Comments

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Original Text

Hindus are inclined to regard Sikhs (literally disciples) as somewhat wayward members of their own extended family, but Sikhs reject this reading. They see their faith as having issued from an original divine revelation that inaugurated a new religion.

The revelation was imparted to Guru Nanak, guru being popularly explained as a dispeller of ignorance or darkness (gu) and bringer of enlightenment (ru). Nanak, pious and reflective from his birth in 1469, around the year 1500 mysteriously disappeared while bathing in a river. On reappearing three days later he said: “Since there is neither Hindu nor Muslim, whose path shall I follow? I will follow God’s path. God is neither Hindu nor Muslim, and the path I follow is God’s.” His authority for those assertions, he went on to explain, derived from the fact that in his three-day absence he had been taken to God’s court, where he was given a cup of nectar (amrit, from which Amritsar, Sikhism’s holy city, is named) and was told:

This is the cup of the adoration of God’s name. Drink it. I am with you. I bless you and raise you up. Whoever remembers you will enjoy my favor. Go, rejoice in my name and teach others to do so also. Let this be your calling.

That Nanak began by distinguishing his path from both Hinduism and Islam underscores the fact that Sikhism arose in a Hindu culture—Nanak was born into the kshatriya caste—that was under Muslim domination. Sikhism’s homeland is the Punjab, “the land of the five rivers” in northwest India, where Muslim invaders were in firm control. Nanak valued his Hindu heritage while also recognizing the nobility of Islam. Here were two religions, each in itself inspired, but which in collision were exciting hatred and slaughter.

If the two sides had agreed to negotiate their differences, they could hardly have reached a more reasonable theological compromise than the tenets of Sikhism afford. In keeping with Hinduism’s sanatana dharma (Eternal Truth), the revelation that was imparted to Nanak affirms the ultimacy of a supreme and formless God who is beyond human conceiving. In keeping with the Islamic revelation, however, it rejects the notion of avatars (divine incarnations), caste distinctions, images as aids to worship, and the sanctity of the Vedas. Having departed from Hinduism in these respects, however, the Sikh revelation leans back toward it in endorsing, as against Islam, the doctrine of reincarnation.

This relatively even division between Hindu and Muslim doctrines has led outsiders to suspect that in his deep, intuitive mind, if not consciously, Nanak worked out a faith he hoped might resolve the conflict religion had produced in his region. As for the Sikhs themselves, they acknowledge the conciliatory nature of their faith, but ascribe its origins to God. Only in a secondary sense was Guru Nanak a guru. The only True Guru is God. Others qualify as gurus in proportion as God speaks through them.

The official Sikh gurus are ten in number and, beginning with Guru Nanak, the Sikh community took shape through their ministrations. The tenth in this lineage, Guru Gobind Singh, announced that he was the last of this line; following his death the Sacred Text that had taken shape would replace human gurus as the head of the Sikh community. Known as the Guru Granth Sahib, or Collection of Sacred Wisdom, this scripture has ever since been revered by the Sikhs as their living Guru; it lives in the sense that the will and words of God are alive within it. For the most part it consists of poems and hymns that came to six of the Gurus as they meditated on God in the deep stillness of their hearts and emerged to sing joyfully God’s praises.

Sikhism has been under heavy assault during much of its history. At a time when the faith was particularly hard pressed, the Tenth Guru called for those who were prepared to commit their lives unreservedly to the faith to step forward. To the “beloved five” who responded he gave a special initiation, thereby instituting the Khalsa, or Pure Order, which continues to this day. Open to men and women alike who are willing to fulfill its regulations, it requires that those who enter it abstain from alcohol, meat, and tobacco, and that they wear “the five Ks,” so-called because in Punjabi all begin with the letter “k.” The five are uncut hair, a comb, a sword or dagger, a steel bracelet, and undershorts. Originally, all five of these had protective as well as symbolic sides. Together with the comb, uncut hair (typically gathered in a turban) shielded the skull while tying in with the yogic belief that uncut hair conserves vitality and draws it upward; the comb for its part symbolized cleanliness and good order. The steel bracelet provided a small shield, while at the same time “shackling” its wearer to God as a reminder that hands should always be in God’s service. Undershorts, which replaced the Indian dhoti, meant that one was always dressed for action. The dagger, now largely symbolic, was originally needed for self-defense.

At the same time that he instituted the Khalsa, Guru Gobind Singh extended his name Singh (literally lion, and by extension stalwart and lionhearted) to all Sikh men, and to women he gave the name Kaur, or princess. The names remain in force for Sikhs, right down to today.

These matters concern religious forms. Centrally, Sikhs seek salvation through union with God by realizing, through love, the Person of God, who dwells in the depths of their own being. Union with God is the ultimate goal. Apart from God life has no meaning; it is separation from God that causes human suffering. In the words of Nanak, “What terrible separation it is to be separated from God and what blissful union to be united with God!”

World renunciation does not figure in this faith. The Sikhs have no tradition of renunciation, asceticism, celibacy, or mendicancy. They are householders who support their families with their earnings and donate one-tenth of their income to charity.

Today there are some 13 million Sikhs in the world, most of them in India. Their headquarters are in the famed Golden Temple, which is located in Amritsar.

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Beginning Physics II

Reference: Schaum beginning Physics II
Reference: Beginning Physics I

Here are the KEY WORD LIST and GLOSSARY for each chapter of this wonderful reference. The purpose here is to make it easy to understand the subject of Physics. You should buy a copy of this book for easy reference, though each chapter is reproduced below.

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  1. Chapter 1: WAVE MOTION
  2. Chapter 2: SOUND
  3. Chapter 3: COULOMB’S LAW AND ELECTRIC FIELDS
  4. Chapter 4: ELECTRIC POTENTIAL AND CAPACITANCE
  5. Chapter 5: SIMPLE ELECTRIC CIRCUITS
  6. Chapter 6: MAGNETISM-EFFECT OF THE FIELD
  7. Chapter 7: MAGNETISM-SOURCE OF THE FIELD
  8. Chapter 8: MAGNETIC PROPERTIES OF MATTER
  9. Chapter 9: INDUCED EMF
  10. Chapter 10: INDUCTANCE
  11. Chapter 11: TIME VARYING ELECTRIC CIRCUITS
  12. Chapter 12: ELECTROMAGNETIC WAVES
  13. Chapter 13: LIGHT AND OPTICAL PHENOMENA
  14. Chapter 14: MIRRORS, LENSES AND OPTICAL INSTRUMENTS
  15. Chapter 15: INTERFERENCE. DIFFRACTION AND POLARIZATION
  16. Chapter 16: SPECIAL RELATIVITY
  17. Chapter 17: PARTICLES OF LIGHT AND WAVES OF MATTER
  18. Chapter 18: MODERN PHYSICS

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Physics I: Chapter 18

Reference: Beginning Physics I

CHAPTER 18: THE FIRST & SECOND LAWS OF THERMODYNAMICS

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KEY WORD LIST

The First Law of Thermodynamics, P-V Diagram, Quasistatic Processes, Cyclical Process, Isochoric Process, Isobaric Process, Isothermal Process, Adiabatic Process, Carnot Cycle, The Second Law of Thermodynamics, The Engine Statement of The Second Law, Efficiency, The Refrigerator Statement of The Second Law, Co-Efficient of Performance, Carnot Engine, Otto Cycle, Compression Ratio, Entropy, Entropy of The System

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GLOSSARY

For details on the following concepts, please consult CHAPTER 18.

THE FIRST LAW OF THERMODYNAMICS
The first law of thermodynamics is the statement of the law of conservation of energy in its most general form. It presumes that the overall energy of the universe remains the same.

If Ui and Uf are the initial and final total internal energy of the system, respectively, at the beginning and at the end of the process, we must have

Where Q is the algebraic heat entering the system; and W is the algebraic work done by the system on the outside world during the same process.

In other words, energy can only shift from one system to another (by means of work and heat transfer), but the total energy of the universe stays fixed.

P-V DIAGRAM
For a quasistatic process, the evolving states of the system can be tracked as a path on a P-V diagram. The work done by the system between the states i and f is the total area under the curve on the P-V diagram.

Reversing a given quasistatic path reverses the sign of the work done and the heat transferred.

QUASISTATIC PROCESSES
The quasistatic processes include a constant-volume (isochoric) process, a constant-pressure (isobaric) process, a constant-temperature (isothermal) process, and a process in which no heat enters or leaves the system (adiabatic process).

CYCLICAL PROCESS
A cyclical process may consist of the same of different quasistatic processes. In a cyclical process the work done is plus or minus the area enclosed by the closed cycle path on the P-V diagram.

ISOCHORIC PROCESS
In an isochoric process the work performed is zero. Therefore, the first law of thermodynamic may be expressed for an isochoric process as,

ISOBARIC PROCESS
The first law of thermodynamic may be expressed for an isochoric process as,

ISOTHERMAL PROCESS
For an ideal gas, in an isothermal process, the internal energy at every point along an isotherm is the same.

ADIABATIC PROCESS
For an adiabatic process the first law takes the form,

For an ideal gas undergoing the adiabatic process, pressure and volume are related by

CARNOT CYCLE
A Carnot cycle is a system undergoing a quasistatic cyclical process involving four legs, with two being isotherms and two being adiabats. Such a process is represented on the P-V diagram as follows:

THE SECOND LAW OF THERMODYNAMICS
The second law of thermodynamics addresses the question of the feasibility of certain types of energy transfers. To accomplish the removal of thermal energy from a cool body and transfer it to a hot body requires an intermediary system called a refrigerator. To convert thermal energy to mechanical energy requires the services of an intermediary system called a heat engine. These intermediary systems effect the transfer that do not occur naturally. The second law is deeply connected to the concept of randomness, and therefore to the subject of statistical mechanics.

THE ENGINE STATEMENT OF THE SECOND LAW
“It Is Impossible for a cyclical process to have no other effect than to draw thermal energy from some system(s), and to convert it completely into mechanical energy.”

EFFICIENCY
The efficiency of any engine is defined as the ratio of mechanical energy obtained to the thermal energy extracted from the hot reservoir.

THE REFRIGERATOR STATEMENT OF THE SECOND LAW
“It is impossible for a cyclical process to have no other effect than to extract thermal energy from a cooler system and eject that thermal energy to a hotter system(s).”

CO-EFFICIENT OF PERFORMANCE
The co-efficient of performance of a refrigerator is defined as.

CARNOT ENGINE
The second law implies that the most efficient engine operating between two fixed temperature reservoirs is a Carnot engine. The efficiency of a Carnot engine is,

OTTO CYCLE
One cylinder of a gasoline engine can be idealized by a quasistatic engine called the Otto cycle, as shown below.

The efficiency of this cycle is,

COMPRESSION RATIO
The compression ratio is the ratio of the largest volume to the smallest volume of the engine cylinder as the piston moves in and out. The greater is the compression ratio, the more efficient is the engine.

ENTROPY
For every equilibrium state of a system there is a definite quantitative measure of the disorder of the system in that state. This quantitative measure assigns a value to each equilibrium state of the system, which is called entropy. The incremental change in the entropy of a system when a small amount of heat is slowly added, is

The second law of thermodynamics can be restated in terms of the overall entropy of the universe: In any process or interactions of systems, the overall entropy change of the universe obeys,

where the equality occurs only in the case of quasistatic processes.

ENTROPY OF THE SYSTEM
The macroscopic equilibrium state of a system corresponds to the most probable system state with its specific value of the number of ways that the microscopic variables can arrange themselves so as to produce the value of the macroscopic variables that characterize the equilibrium state. The entropy of the system is formally defined as,

where k is Boltzmann constant and Γ is the number of ways.

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