Complete the sentences below so as to obtain correct claims, by writing into each empty space an appropriate string of decimal digits that represents an integer (no whitespace, nooperators, no punctuation, no redundant zeros, no symbols other than digits). Where such an integer does not exist (that makes the claim true) write NONE in that space.Let 2 = {a, b, c}.The set of subsets of 2 haselements.Empty setØ haselements.The set { Ø} haselements.The set of subsets of the set { Ø } haselements.The setΣχ Σhaselements.The set of subsets of 2 x 2 haselements.The length of the empty string d is equal toThe Goedel number of the sequence <0, 0, 0, 0, 0, 0 > is equal to:The largest prime that divides the Goedel number of the sequence <0, 0, 0, 0, 0, 0, 2> isand the exponent of this largest prime in thisGoedel number isLet the Goedel number of a sequence x be equal to 330. The length of the sequence x is equal to:; the first element of x is equal to:; the last element of x is equal to:Let the Goedel number of a sequence be equal to n. The Goedel number of the sequence is equal to:n xLet the Goedel number of a sequence be equal to n. The sequence whose Goedel number is equal to 23 xn haselements, and its last element is

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Complete the sentences below so as to obtain correct claims, by writing into each empty space an appropriate string of decimal digits that represents an integer (no whitespace, no operators, no punctuation, no redundant zeros, no symbols other than digits). Where such an integer does not exist (that makes the claim true) write NONE in that space. Let E = (a, b, c}. The set of subsets of E has elements. Empty set Ø has elements. The set { Ø} has elements.

Complete the sentences below so as to obtain correct claims, by writing into each empty space an appropriate string of decimal digits that represents an integer (no whitespace, no operators, no punctuation, no redundant zeros, no symbols other than digits). Where such an integer does not exist (that makes the claim true) write NONE in that space. Let E = (a, b, c}. The set of subsets of E has elements. Empty set Ø has elements. The set { Ø} has elements.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Complete the sentences below so as to obtain correct claims, by writing into each empty space an appropriate string of decimal digits that represents an integer (no whitespace, no
operators, no punctuation, no redundant zeros, no symbols other than digits). Where such an integer does not exist (that makes the claim true) write NONE in that space.
Let 2 = {a, b, c}.
The set of subsets of 2 has
elements.
Empty set
Ø has
elements.
The set { Ø} has
elements.
The set of subsets of the set { Ø } has
elements.
The set
Σχ Σhas
elements.
The set of subsets of 2 x 2 has
elements.
The length of the empty string d is equal to
The Goedel number of the sequence <0, 0, 0, 0, 0, 0 > is equal to:
The largest prime that divides the Goedel number of the sequence <0, 0, 0, 0, 0, 0, 2> is
and the exponent of this largest prime in this
Goedel number is
Let the Goedel number of a sequence x be equal to 330. The length of the sequence x is equal to:
; the first element of x is equal to:
; the last element of x is equal to:
Let the Goedel number of a sequence <k1, k2, k3, ką, k5, k6 > be equal to n. The Goedel number of the sequence <k1 +2, k2 +1, k3+1, k4, k5, k6 > is equal to:
n x
Let the Goedel number of a sequence <k1, k2, k3, k4, k5, k6, k7> be equal to n. The sequence whose Goedel number is equal to 23 x
n has
elements, and its last element is

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