MESL (YELLOW BOOK) Flashcards by Romnick Jay Pagal

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

Even symmetry

How well did you know this?

Not at all

Perfectly

Which number has four significant figures?
0.0014
0.01414
0.141
1.4140

0.01414

How well did you know this?

Not at all

Perfectly

Napierian logarithm have a base closest to which number?

2.72 ≈ e

How well did you know this?

Not at all

Perfectly

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 Sinusoid

How well did you know this?

Not at all

Perfectly

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

The law of cosines

How well did you know this?

Not at all

Perfectly

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

The cosine is negative

How well did you know this?

Not at all

Perfectly

What is the inverse natural function of the cosecant?

Sine

How well did you know this?

Not at all

Perfectly

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

Ogive

How well did you know this?

Not at all

Perfectly

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

Corollary

How well did you know this?

Not at all

Perfectly

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

Arithmetic progression

How well did you know this?

Not at all

Perfectly

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

Histogram

How well did you know this?

Not at all

Perfectly

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

Trivial Solution

How well did you know this?

Not at all

Perfectly

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

Lesser than

How well did you know this?

Not at all

Perfectly

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

Symmetric axiom

How well did you know this?

Not at all

Perfectly

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?

Pab/Pa

How well did you know this?

Not at all

Perfectly

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

Solution set

How well did you know this?

Not at all

Perfectly

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

Zero

How well did you know this?

Not at all

Perfectly

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

Constant of variation

How well did you know this?

Not at all

Perfectly

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

Harmonic progression

How well did you know this?

Not at all

Perfectly

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

Matrix

How well did you know this?

Not at all

Perfectly

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?

Dyadic number system

How well did you know this?

Not at all

Perfectly

The number 0.123123123…. is a/am

Rational number

How well did you know this?

Not at all

Perfectly

MCMXCIV is the roman numeral equivalent to

1994

How well did you know this?

Not at all

Perfectly

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

Divergent series

How well did you know this?

Not at all

Perfectly

Terms that differ only in numeric coefficients are known as

Like terms

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

Argand Diagram

7 +0i is _________.

Real number

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

Probability

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

10y + x

A statement of truth which is admitted without proof

Axiom

The part of theorem which is assumed to be true

Hypothesis

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

Corollary

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

Postulate

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

Conjecture

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

Lemma

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

Postulate

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

Lemma

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

Worth

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

Hypothesis

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

Commutative law of multiplication

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

Substitution law

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

Reflexive law

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

Transitive law

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

Distributive law

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

Algebraic expression

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

Multinomial

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

Rational equation

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

Literal equation

An equation in which the variable appears under the radical symbol

Irrational equation

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

Redundant equation

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

Defective equation

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

Rational algebraic expression

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.

Open sentence

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

Integral rational

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

Implicit function

The numbers which are represented with letters

Literal numbers

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

Conditional equations

An algebraic expression consisting of one term

Monomial

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

Term

An expression of two terms is called _____.

Binomial

The degree of a polynomial or equation is the ____.

Maximum sum of exponents

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

6th

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

Complex fraction

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

Unit fraction

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

Proper fraction

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.

Decimal fraction

Considered as the “counting numbers.”

Natural numbers

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

Irrational number

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

Rational numbers

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

Dispersion

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

Rational number

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

Square-free integer

Numbers are used to describe a:

Magnitude and position

Are symbols or combinations of symbols which describe a number

Numerals

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

Imaginary numbers

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

Becomes a real number

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

Pure imaginary number

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

All of the above

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

Product

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

Rational number

A prime number has exactly how many divisors?

A prime number is an integer greater than 1 which has

1 and itself as its only positive divisors

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

Composite number

A composite number has at least ____ divisors,

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

Relatively prime

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

Cardinal numbers

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

Ordinal numbers

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

Perfect number

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

Abundant number

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

Defective number

What is the smallest perfect number possible?

All perfect numbers are ____.

Even numbers

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

Amicable numbers

What is the other name for amicable numbers?

Friendly numbers

What is the smallest pair of friendly number?

220 and 284

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

Twin primes

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

Goldbach conjecture

“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 ____.

Fundamental theorem of arithmetic

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

Vinogradov’s theorem

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

To estimate