The rule of universal instantiation says that if some property is true for _ in a domain, then it is true for ___.

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Answer 1

Textbook Question

Chapter 3.4, Problem 1TY

The rule of universal instantiation says that if some property is true for _____ in a domain, then it is true for _______.

Expert Solution & Answer

To determine

To fill:

The correct words to fill given statement.

Answer to Problem 1TY

The complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Explanation of Solution

Given information:

The statement is “The rule of universal instantiation says that if some property is true for ____ in a domain, then it is true for ____.”

In the universal instantiation, it says that if any property (or statement) is true for every element in given set, then it is true for any element of the set. And domain is the only set for the function.

Therefore, the complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

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Students have asked these similar questions

Problem 11 (a) A tank is discharging water through an orifice at a depth of T meter below the surface of the water whose area is A m². The following are the values of a for the corresponding values of A: A 1.257 1.390 x 1.50 1.65 1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650 1.80 1.95 2.10 2.25 2.40 2.55 2.70 2.85 Using the formula -3.0 (0.018)T = dx. calculate T, the time in seconds for the level of the water to drop from 3.0 m to 1.5 m above the orifice. (b) The velocity of a train which starts from rest is given by the fol- lowing table, the time being reckoned in minutes from the start and the speed in km/hour: | † (minutes) |2|4 6 8 10 12 14 16 18 20 v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0 Estimate approximately the total distance ran in 20 minutes.

- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.

Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?

Answer 2

Textbook Question

Chapter 3.4, Problem 1TY

The rule of universal instantiation says that if some property is true for _____ in a domain, then it is true for _______.

Expert Solution & Answer

To determine

To fill:

The correct words to fill given statement.

Answer to Problem 1TY

The complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Explanation of Solution

Given information:

The statement is “The rule of universal instantiation says that if some property is true for ____ in a domain, then it is true for ____.”

In the universal instantiation, it says that if any property (or statement) is true for every element in given set, then it is true for any element of the set. And domain is the only set for the function.

Therefore, the complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

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Answer 3

Textbook Question

Chapter 3.4, Problem 1TY

The rule of universal instantiation says that if some property is true for _____ in a domain, then it is true for _______.

Expert Solution & Answer

To determine

To fill:

The correct words to fill given statement.

Answer to Problem 1TY

The complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Explanation of Solution

Given information:

The statement is “The rule of universal instantiation says that if some property is true for ____ in a domain, then it is true for ____.”

In the universal instantiation, it says that if any property (or statement) is true for every element in given set, then it is true for any element of the set. And domain is the only set for the function.

Therefore, the complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 3.4, Problem 1TY

The rule of universal instantiation says that if some property is true for _____ in a domain, then it is true for _______.

Expert Solution & Answer

To determine

To fill:

The correct words to fill given statement.

Answer to Problem 1TY

The complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Explanation of Solution

Given information:

The statement is “The rule of universal instantiation says that if some property is true for ____ in a domain, then it is true for ____.”

In the universal instantiation, it says that if any property (or statement) is true for every element in given set, then it is true for any element of the set. And domain is the only set for the function.

Therefore, the complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To fill:

The correct words to fill given statement.

Answer to Problem 1TY

The complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Explanation of Solution

Given information:

The statement is “The rule of universal instantiation says that if some property is true for ____ in a domain, then it is true for ____.”

In the universal instantiation, it says that if any property (or statement) is true for every element in given set, then it is true for any element of the set. And domain is the only set for the function.

Therefore, the complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Answer 8

Expert Solution & Answer

To determine

To fill:

The correct words to fill given statement.

Answer to Problem 1TY

The complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Explanation of Solution

Given information:

The statement is “The rule of universal instantiation says that if some property is true for ____ in a domain, then it is true for ____.”

In the universal instantiation, it says that if any property (or statement) is true for every element in given set, then it is true for any element of the set. And domain is the only set for the function.

Therefore, the complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To fill:

The correct words to fill given statement.

Answer 12

Answer to Problem 1TY

The complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Answer 13

Explanation of Solution

Given information:

The statement is “The rule of universal instantiation says that if some property is true for ____ in a domain, then it is true for ____.”

In the universal instantiation, it says that if any property (or statement) is true for every element in given set, then it is true for any element of the set. And domain is the only set for the function.

Therefore, the complete statement is “The rule of universal instantiation says that if some property is true for all elements in a domain, then it is true for any particular element in the domain.”

Answer 14

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The rule of universal instantiation says that if some property is true for _ in a domain, then it is true for ___.

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