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Why mathematical induction is a deductive process?
"Mathematical induction" is a misleading name. Ordinarily, "induction" means observing that something is true in all known examples and concluding that it is always true. A famous example is "all swans are white", which was believed true for a long time. Eventually black swans were discovered in Australia. Mathematical induction is quite different. The principle of mathematical induction says that: * if some statement S(n) about a number is true for the number 1, and * the conditional statement S(k) true implies S(k+1) true, for each k then S(n) is true for all n. (You can start with 0 instead of 1 if appropriate.) This principle is a theorem of set theory. It can be used in deduction like any other theorem. The principle of definition by mathematical induction (as in the definition of the factorial function) is also a theorem of set theory. Although it is true that mathematical induction is a theorem of set theory, it is more true in spirit to say that it is built into the foundations of mathematics as a fundamental deductive principle. In set theory the Axiom of Infinity essentially contains the principle of mathematical induction. My reference for set theory as a foundation for mathematics is the classic text "Naive Set Theory" by Paul Halmos. Warning: This is an advanced book, despite the title. Set theory at this level really only makes sense after several years of college/university mathematics study.
What is the definition of a core in electrical equipment?
A core in the electrical trade usually refers to the iron laminations that coils of wire are wrapped around. The core directs the magnetic field, that the coils of wire produce when energized, into a working force. This could be the iron core of a relay or a transformer core that is the centre and principle reason that a transformer can operate.
When was The Lucifer Principle created?
The Lucifer Principle was created in 1995-01.
What is principle of communication system?
The principle of passing information from one place to another.
Who is the Springfield elementary's principle?
Principle Skinner =]
What principle or phenomenon in physics allows a generator to create electrical flow?
electromagnetic induction
The scientist Who discovered the principle of the generator?
The principle of the generator was discovered by Michael Faraday, an English scientist, in the early 19th century. Faraday's experiments with electromagnetic induction led to the development of the first electric generator, which laid the foundation for modern electrical technology.
What is a device that transforms mechanical energy to electrical energy?
A generator is a device that transforms mechanical energy into electrical energy. It uses the principle of electromagnetic induction to generate electricity when a conductor moves through a magnetic field.
How is electrical generator work?
An electrical generator is a device that converts mechanical energy into electrical energy. The fundamental principle behind its operation is electromagnetic induction, a phenomenon discovered by Michael Faraday in the early 19th century.
What is the principle of electromagnetic crane?
the principle on which an electromagnetic crane works is electromagnetic induction
What is the electricity from a simple generator?
Electricity from a simple generator is produced through the principle of electromagnetic induction. When a conductor, such as a wire coil, moves through a magnetic field, it generates an electric current. This current can then be harnessed to power electrical devices.
What is the function of a generator is to change mechanical energy?
The function of a generator is to convert mechanical energy into electrical energy. This is achieved through the principle of electromagnetic induction, where the rotation of a coil within a magnetic field induces an electric current in the wire.
Does induction motor works on Electromagnetic induction?
Yes the Induction motor works on Electromagnetic induction principle.
Who discovered the principle electromagnetic induction?
Michael Faraday discovered Electromagnetic induction.
What is a machine that produces electric current?
A generator is a machine that converts mechanical energy into electrical energy, producing electric current. It works on the principle of electromagnetic induction where a coil of wire rotating in a magnetic field creates an electric current.
What is a device that converts mechanical energy into electrical energy called?
A device that converts mechanical energy into electrical energy is called a generator. It uses the principle of electromagnetic induction to produce an electric current when a mechanical force, such as rotation, is applied to it.
Which device transfers electrical energy from a primary coil to a secondary coil induction?
A transformer is a device that transfers electrical energy from a primary coil to a secondary coil through electromagnetic induction. It functions based on the principle of Faraday's Law of electromagnetic induction.
