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ELEMENTS > MESL (YELLOW BOOK) > Flashcards

MESL (YELLOW BOOK) Flashcards

1
Q

For a given function, it is found that f(t) = f(-t). what type of symmetry does f(t) have?

A

Even symmetry

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2
Q

Which number has four significant figures?
0.0014
0.01414
0.141
1.4140

A

0.01414

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3
Q

Napierian logarithm have a base closest to which number?

A

2.72 ≈ e

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4
Q

If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is _____.

A

A Sinusoid

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5
Q

To find the angle of a triangle, given only the lengths of the sides, one would use

A

The law of cosines

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6
Q

Which is true regarding the signs of the natural functions for angles 90 and 180?

A

The cosine is negative

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7
Q

What is the inverse natural function of the cosecant?

A

Sine

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8
Q

The graphical presentation of a cumulative frequency distribution in a set of statistical data is called ________.

A

Ogive

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9
Q

A statement of truth which allows with little or no proof from a theorem.

A

Corollary

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10
Q

It is a sequence of numbers such that the successive terms differ by a constant.

A

Arithmetic progression

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11
Q

A frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height.

A

Histogram

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12
Q

If the roots of an equation are zero, then they are classified as _______.

A

Trivial Solution

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13
Q

Convergent series is a sequence of decreasing number or when the succeeding term is ____ the preceding term.

A

Lesser than

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14
Q

If a = b then b = a. This illustrates what axiom in algebra?

A

Symmetric axiom

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15
Q

A and B are independent events. The probability that event A will occur is Pa and the probability that A and B will occur is Pab. From these two statements, what is the probability that event B will occur?

A

Pab/Pa

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16
Q

Two or more equations are equal if and only if they have the same:

A

Solution set

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17
Q

In any square matrix, when the elements of any two rows are exactly the same, the determinant is:

A

Zero

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18
Q

The ration or product of two expressions in direct or inverse relation with each other is called:

A

Constant of variation

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19
Q

Is a sequence of terms whose reciprocals form an arithmetic progression.

A

Harmonic progression

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20
Q

An array of m x n quantities which represent a single number system composed of elements in rows and columns is known as:

A

Matrix

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21
Q

Binary number system is a system of notation for real number that uses the place value method with 2 as the base. What is the other name of the binary number system?

A

Dyadic number system

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22
Q

The number 0.123123123…. is a/am

A

Rational number

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23
Q

MCMXCIV is the roman numeral equivalent to

A

1994

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24
Q

A sequence of numbers where the succeeding term is greater than the preceding term is called

A

Divergent series

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25
Q

Terms that differ only in numeric coefficients are known as

A

Like terms

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26
Q

In complex algebra, we use diagram to represent complex plane commonly called

A

Argand Diagram

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27
Q

7 +0i is _________.

A

Real number

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28
Q

The number of successful outcomes divided by the number of possible outcomes is

A

Probability

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29
Q

If a two-digit number has x for its unit digit and y for its tens digit, the number is represented as

A

10y + x

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30
Q

A statement of truth which is admitted without proof

A

Axiom

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31
Q

The part of theorem which is assumed to be true

A

Hypothesis

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32
Q
A
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32
Q

A statement if truth which follows with little or no proof from the theorem

A

Corollary

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34
Q

Refers to the construction of drawing of lines and figures the possibility of which is admitted without proof

A

Postulate

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35
Q

The mathematical statement which has neither been proved nor denied by counterexamples.

A

Conjecture

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36
Q

A proved proposition which is useful mainly as a preliminary to the proof of a theorem

A

Lemma

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37
Q

Axioms are propositions of a general logical nature (about equal or unequal) while ____ propositions concerning objects and constructions.

A

Postulate

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38
Q

A ____ is an ancillary theorem whose result is not target for the proof.

A

Lemma

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39
Q

Statements that are accepted without discussion or proof are called axioms. The word “axiom” comes from the Greek “axioma” which means:

A

Worth

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40
Q

In mathematical and other fields of logical reasoning, axioms are used as basis for the formulation of statements called:

A

Hypothesis

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41
Q

“The product of two or more number is the same in whatever order they are multiplied.” This refers to

A

Commutative law of multiplication

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42
Q

If a = b, then b can replace a in any equation. This illustrates what law of identity?

A

Substitution law

43
Q

If a = a, then it illustrates what law or identity?

A

Reflexive law

44
Q

If a = b, and b = c, then a = c. This illustrates

A

Transitive law

45
Q

The axiom which relates addition and multiplication is the _______ law.

A

Distributive law

46
Q

Any combination of symbols and numbers related by the fundamental operation of algebra is called a/a:

A

Algebraic expression

47
Q

The algebraic expression consisting a sum of any number of terms is called a

A

Multinomial

47
Q

An equation which is satisfied by all values of the variable for which the members of the equation defined is known as

A

Rational equation

48
Q

An equation in which some or all of the known quantities are represented by letters is called

A

Literal equation

49
Q

An equation in which the variable appears under the radical symbol

A

Irrational equation

50
Q

An equation which, because of some mathematical process, has required an extra root is sometimes called as

A

Redundant equation

51
Q

Any equation which, because of some mathematical process, has fewer roots than its original is sometimes called as

A

Defective equation

52
Q

An algebraic expression which can be represented as a quotient of two polynomials

A

Rational algebraic expression

53
Q

A statement containing one or more variables and having the property that it becomes either true or false when the variables are given specific values from their domains.

A

Open sentence

54
Q

Any algebraic term is a/an ______ term in certain representing numbers if it consists of the product of possible integral powers of these numbers and a factor not containing them

A

Integral rational

55
Q

An equation in x and y which is not easily solved for y in terms of x is called

A

Implicit function

56
Q

The numbers which are represented with letters

A

Literal numbers

57
Q

Equations whose members are equal only for certain or possibly no value of the unknown.

A

Conditional equations

58
Q

An algebraic expression consisting of one term

A

Monomial

59
Q

In algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers.

A

Term

60
Q

An expression of two terms is called _____.

A

Binomial

61
Q

The degree of a polynomial or equation is the ____.

A

Maximum sum of exponents

62
Q

What is the degree of the polynomial 3x4y + 2x3z3-4yz2?

A

6th

63
Q

Any fraction which contains one or more fractions in either numerator or denominator, or both is called:

A

Complex fraction

64
Q

A common fraction with unity for numerator and a positive integer as denominator (i.e., 1/n)

A

Unit fraction

65
Q

If the absolute value of the numerator of a fraction is smaller than the denominator, it is called

A

Proper fraction

66
Q

A number that consists of an integer part (which may be zero) and a decimal part less than unity that follows the decimal marker, which may be a point or a comma.

A

Decimal fraction

67
Q

Considered as the “counting numbers.”

A

Natural numbers

68
Q

A number represented by a non-terminating, non-repeating decimal

A

Irrational number

69
Q

The completeness axiom proved that the real number system has numbers other than

A

Rational numbers

70
Q

The concept of spread of a random variable or a set of observations

A

Dispersion

71
Q

A number containing a non-terminating but repeating decimal is a/an ________.

A

Rational number

72
Q

A positive integer which has no perfect-square factor greater than 1

A

Square-free integer

73
Q

Numbers are used to describe a:

A

Magnitude and position

74
Q

Are symbols or combinations of symbols which describe a number

A

Numerals

75
Q

Which of the following is not classified as an integer?
Negative numbers
Positive numbers
Zero
Imaginary numbers

A

Imaginary numbers

76
Q

When an imaginary number is raised to an even exponent, it:

A

Becomes a real number

77
Q

The complex number is in the for a + bi. If a = 0, what do you call the resulting number?

A

Pure imaginary number

78
Q

For a complex number a + bi, the real number √(a2 + b2) is _____ of the complex number
Absolute value
Magnitude
Modulus
All of the above

A

All of the above

79
Q

The _____ product of two complex numbers is found by multiplying each term of the one by every term of the other.

A

Product

80
Q

A number which can be expressed as a quotient of two integers (division of zero excluded) is called

A

Rational number

81
Q

A prime number has exactly how many divisors?

A

2

82
Q

A prime number is an integer greater than 1 which has

A

1 and itself as its only positive divisors

83
Q

An integer which is the product of two integers, both different from 1 and -1 is called

A

Composite number

84
Q

A composite number has at least ____ divisors,

A

3

85
Q

Two natural numbers a and b are. If their greatest common divisor is 1

A

Relatively prime

86
Q

Numbers used to count the objects or ideas in a given collection

A

Cardinal numbers

87
Q

Numbers which are used to stated position of individual objects in a sequence

A

Ordinal numbers

88
Q

An integer that is equal to the sum of all its possible divisors except the number itself is called

A

Perfect number

89
Q

An integer that is equal to the sum of all its possible divisors except the number itself is greater than the integer is called

A

Abundant number

90
Q

An integer that is equal to the sum of all its possible divisors except the number itself is less than the integer is called

A

Defective number

91
Q

What is the smallest perfect number possible?

A

6

92
Q

All perfect numbers are ____.

A

Even numbers

93
Q

Two integer numbers are said to be ___ if each is the sum of all possible divisors of the other

A

Amicable numbers

94
Q

What is the other name for amicable numbers?

A

Friendly numbers

95
Q

What is the smallest pair of friendly number?

A

220 and 284

96
Q

Prime numbers that appear in pair and differ by 2 (e.g., 3 and 5, 11 and 13 etc.) are called:

A

Twin primes

97
Q

“Every even integer greater than 2 can be written as the sum of two primes.” This is known as

A

Goldbach conjecture

98
Q

“every positive integer greater that 1 is a prime number or can be expressed as a unique product of primes and powers.” This is known as ____.

A

Fundamental theorem of arithmetic

99
Q

“Every sufficiently large off number can be expressed as a sum of three prime numbers.” This is known as

A

Vinogradov’s theorem

100
Q

The term “ratio” comes from the Latin verb “ratus” meaning ____.

A

To estimate

101
Q
A
102
Q
A

ELEMENTS (7 decks)

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