This glossary contains words and phrases from Fourth through Sixth Grade Everyday Mathematics. To place the definitions in broader mathematical contexts, most entries also refer to sections in this Teacher’s Reference Manual. In a definition, terms in italics are defined elsewhere in the glossary. acute triangle A triangle with three acute ... (where the terms are OEIS A084253), and series about infinity given byBasically, the definition states that “it is a collection of elements”. These elements could be numbers, alphabets, variables, etc. The notation and symbols for sets are based on the operations performed on them, such as the intersection of sets, the union of sets, the difference of sets, etc. Get more: Maths symbolsIntegers include negative numbers, positive numbers, and zero. Examples of Real numbers: 1/2, -2/3, 0.5, √2. Examples of Integers: -4, -3, 0, 1, 2. The symbol that is used to denote real numbers is R. The symbol that is used to denote integers is Z. Every point on the number line shows a unique real number.In mathematics, the image of a function is the set of all output values it may produce.. More generally, evaluating a given function at each element of a given subset of its domain produces a set, called the "image of under (or through) ".Similarly, the inverse image (or preimage) of a given subset of the codomain of is the set of all elements of the domain that map to the members of .Cartesian product of the sets = {,,} and = {,,}. In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in A and b is in B. In terms of set-builder notation, that is = {(,) }. A table can be created by taking the Cartesian product of a set of rows and a set of columns. If the Cartesian product rows ...In a wide sense, as argued below, the answer is no. Indeed, R(z) ℜ ( z) is not a holomorphic function since its image is the real line. In this sense, there is no formula for R(z) ℜ ( z) that does not involve z¯ z ¯, because the Cauchy–Riemann equations fail for R(z) ℜ ( z) : This was said already in the comments.What does the letters Z, N, Q and R stand for in set notation?The following letters describe what set each letter represents:N is the set of natural numbers ...A z z -score is a standardized version of a raw score ( x x) that gives information about the relative location of that score within its distribution. The formula for converting a raw score into a z z -score is: z = x − μ σ (3.3.2.1) (3.3.2.1) z = x − μ σ. for values from a population and for values from a sample:In Maths, sets a well-defined collection of objects or elements, where the order of sets does not matter. Learn representation of sets, types of sets, formulas, operations on sets at BYJU’S.Therefore, the formula to find the mean is given by: Mean = Sum of given data / Total number of the data. = (2 + 6 + 4 + 5 + 8) / 5. = 25/5. = 5. Hence, the mean value of the given data is 5. Stay tuned with BYJU’S – The Learning App and download the app to learn many important Maths-related concepts. Test your knowledge on Mean Definition.Dilation Meaning in Math. Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape. A dilation should either stretch or shrink the original shape.In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine is ...Others use the "z" in the middle of the word "demilitarization" and "denazification" - the latter in particular has been one of the reasons the Russian president has given for the invasion of ...May 29, 2023 · N : the set of all natural numbers Z : the set of all integers Q : the set of all rational numbers R : the set of real numbers Z+ : the set of positive integers Q+ : the set of positive rational numbers R+ : the set of positive real numbers Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class Book a free demo What does Z —> Z x Z mean in this question? I have the link of the question in the comments. ZxZ is the Cartesian product of Z. You'd have met this a long time ago as co-ordinates, (x,y) where both x and y are in Z. f is a function from Z to ZxZ, f (0) for example is (0,5). Probably should say co-domain instead of range here so as not to ... Math is not only rife with symbols; it also has many processes — one of which is the backward Z. The backward Z is a mathematical process that allows you to add two fractions together, even when the denominator is not the same. The process involves the multiplication of two or more denominators until you find a common denominator, ultimately ...Z, z definition: 1. the 26th and last letter of the English alphabet 2. the 26th and last letter of the English…. Learn more.In mathematics, a variable (from Latin variabilis, "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. [1]f(z). = \left\{ \begin{array}{rcl}. \overline{\overline{z^2}+\cos z} & \mbox{for} ... Math bold italic letters: define \def\mathbi#1 {\textbf{\em #1}} then use ...AboutTranscript. Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited. Any variable or constant is equal to itself. We call this the Reflexive property, and it can be written. For all x, x = x For all x , x = x. or, more formally, ∀x(x = x) ∀ x ( x = x) If two items are equal, anything we can say about the first item in our logical system we can also say about the other item.In mathematics, function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)).In this operation, the function g is applied to the result of applying the function f to x.That is, the functions f : X → Y and g : Y → Z are composed to yield a function that maps x in domain X to g(f(x)) in codomain Z.In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.. The best known fields are the field of rational numbers, the field of real ...Others use the "z" in the middle of the word "demilitarization" and "denazification" - the latter in particular has been one of the reasons the Russian president has given for the invasion of ...These symbols allow us to represent a wide range of logical concepts, such as “and,” “or,” “if-then,” and “if and only if.”. Knowing these logic symbols is useful because it allows us to more easily understand and communicate logical concepts. Below we have listed a few common ones. Symbol. Name. Meaning/Definition. Example.A standard normal ( Z-) distribution has a bell-shaped curve with mean 0 and standard deviation 1. The standard normal distribution is useful for examining the data and determining statistics like percentiles, or the percentage of the data falling between two values. So if researchers determine that the data have a normal distribution, they ...Explain why these sentences are not propositions: He is the quarterback of our football team. x + y = 17 x + y = 17. AB = BA A B = B A. Example 2.1.5 2.1. 5. Although the sentence “ x + 1 = 2 x + 1 = 2 ” is not a statement, we can change it into a statement by adding some condition on x x.May 11, 2012 · a polygon with four equal sides and four right angles. 1. a geometry shape. 2. to multiply a number by itself. greater in size or amount or extent or degree. i have more than you. addition. addend. a number that is combined with another number. 6 + 3 = 9; 6 and 3 are the addends. Jan 15, 2020 · Hexagon : A six-sided and six-angled polygon. Histogram : A graph that uses bars that equal ranges of values. Hyperbola : A type of conic section or symmetrical open curve. The hyperbola is the set of all points in a plane, the difference of whose distance from two fixed points in the plane is a positive constant. Nov 29, 2019 · In mathematics, there are multiple sets: the natural numbers N (or ℕ), the set of integers Z (or ℤ), all decimal numbers D or D , the set of rational numbers Q (or ℚ), the set of real numbers R (or ℝ) and the set of complex numbers C (or ℂ). These 5 sets are sometimes abbreviated as NZQRC. lowes double kitchen sink
So to convert a value to a Standard Score ("z-score"): · first subtract the mean, · then divide by the standard deviation. See: Normal Distribution. Normal Distribution. Illustrated definition of Z-score: How many standard deviations a value is from the mean. In this example, the value 1.7 is 2 standard deviations...Integers. The set of integers is represented by the letter Z. An integer is any number in the infinite set, Z = (..., -3, -2, -1, 0, 1, 2, 3, ...} Integers are sometimes split into 3 subsets, Z …As education moves increasingly online, more and more students are taking classes remotely. For parents, this can mean navigating new territory when it comes to supporting their children’s learning. In particular, math can be a challenging ...The z-scores to the right of the mean are positive and the z-scores to the left of the mean are negative. If you look up the score in the z-table, you can tell what percentage of the population is above or below your score. The table below shows a z-score of 2.0 highlighted, showing .9772 (which converts to 97.72%).28 Nis 2022 ... ... meaning behind why the letter 'z' was chosen over 'q'. The set of positive ... What does remain mean in math? Name and describe the different ...The definition of ray in math is that it is a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction. Since a ray has no end point, we can’t measure its length. Fun Facts: The sun …History. The basic idea now known as the Z-transform was known to Laplace, and it was re-introduced in 1947 by W. Hurewicz and others as a way to treat sampled-data control systems used with radar. It gives a tractable way to solve linear, constant-coefficient difference equations.It was later dubbed "the z-transform" by Ragazzini and Zadeh in …List of mathematical symbols. The list below has some of the most common …Example 1: If a z score is given as -2.05 then find the value using the z score table. Solution: Using the negative z table the value of -2.05 is given as the intersection of -2.0 and 0.05 as 0.02018. Answer: 0.02018. Example 2: If the raw score is given as 250, the mean is 150 and the standard deviation is 86 then find the value using the z table.Others use the "z" in the middle of the word "demilitarization" and "denazification" - the latter in particular has been one of the reasons the Russian president has given for the invasion of ...Any variable or constant is equal to itself. We call this the Reflexive property, and it can be written. For all x, x = x For all x , x = x. or, more formally, ∀x(x = x) ∀ x ( x = x) If two items are equal, anything we can say about the first item in our logical system we can also say about the other item.zsofia
To understand division better, let’s look at a few general division rules and properties: 1. If we divide a whole number (except zero) by itself, the quotient or the answer is always 1. For example: · 7 ÷ 7 = 1. · 25 ÷ 25 = 1. 2. If we divide a whole number by zero, the answer will be undefined. For example:8 Ağu 2022 ... Z Score Table Sample Problems. Use these sample z-score math problems to help you learn the z-score formula. What is P (Z ≤ 1.5) ? Answer ...Basically, the definition states that “it is a collection of elements”. These elements could be numbers, alphabets, variables, etc. The notation and symbols for sets are based on the operations performed on them, such as the intersection of sets, the union of sets, the difference of sets, etc. Get more: Maths symbols Sometimes in mathematics it's important to determine what the opposite of a given mathematical statement is. This is usually referred to as "negating" a ...The concept of a Z-module agrees with the notion of an abelian group. That is, every abelian group is a module over the ring of integers Z in a unique way. For n > 0, let n ⋅ x = x + x + ... Graduate Texts in Mathematics, Vol. 13, 2nd Ed., Springer-Verlag, New York, 1992, ISBN ...Z-axis definition: One of three axes in a three-dimensional Cartesian coordinate system.In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size. There are several different notations used to represent different kinds of inequalities:Apr 17, 2022 · Exercise 7.1. Let A = {a, b, c}, B = {p, q, r}, and let R be the set of ordered pairs defined by R = {(a, p), (b, q), (c, p), (a, q)}. (a) Use the roster method to list all the elements of A × B. Explain why A × B can be considered to be a relation from A to B. (b) Explain why R is a relation from A to B. Absolute value. The graph of the absolute value function for real numbers. The absolute value of a number may be thought of as its distance from zero. In mathematics, the absolute value or modulus of a real number , denoted , is the non-negative value of without regard to its sign. Namely, if is a positive number, and if is negative (in which ...fingerhut dresses
Adjective [ edit] math ( genitive singular masculine maith, genitive singular feminine maithe, nominative plural matha, comparative fheàrr ) good. 'S math sin. ― That's good. Dh'òl mi uisge-beatha math an-dè. ― I was drinking good whisky yesterday.An expression in Math is made up of the following: a) Constant: it is a fixed numerical value. Example: 7, 45, 4 1 3, − 18, 5, 7 + 11. b) Variables: they do not take any fixed values. Values are assigned according to the requirement. Example: a, p, z. The definition of ray in math is that it is a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction. Since a ray has no end point, we can’t measure its length. Fun Facts: The sun …The symbol of integers is “ Z “. Now, let us discuss the definition of integers, symbol, types, operations on integers, rules and properties associated to integers, how to represent integers on number line with many solved examples in detail. Define Z. Z synonyms, Z pronunciation, Z translation, English dictionary definition of Z. 1. The symbol for atomic number. 2. The symbol for impedance. or Z n. pl. z's or Z's also zs or Zs 1. The 26th letter of the modern English alphabet. ... (Mathematics) the z-axis or a coordinate measured along the z-axis in a Cartesian or cylindrical ...3. Departing a little from the other very good answers here. Strictly speaking, nabla is the name of the typographical glyph, the upside down triangle: just a symbol on paper, meaning whatever the author intends it to mean. The name comes from the glyph's resemblance to an old fashioned harp.(mathematics) A mathematical function formally known as the Riemann zeta function. ... The thirty-fifth letter of the Albanian alphabet, written in the Latin ...1) The function can be called a bivariate function; it is a function that depends on two variables x and y that may assume different domains. The function is defined on the union of those domains. An example is. f ( x, y) := x 2 + y 2. If you fix x to any value say x ¯, then f ( x ¯, y) is a function in y.Integers include negative numbers, positive numbers, and zero. Examples of Real numbers: 1/2, -2/3, 0.5, √2. Examples of Integers: -4, -3, 0, 1, 2. The symbol that is used to denote real numbers is R. The symbol that is used to denote integers is Z. Every point on the number line shows a unique real number. Math Symbols. Math is all about numbers, symbols, and formulas. Math symbols are used for different purposes from one mathematical field to another. Using symbols to represent mathematical information makes it easier to understand expressions as these symbols show the relationship between quantities.In mathematics, there are multiple sets: the natural numbers N (or ℕ), the set of integers Z (or ℤ), all decimal numbers D or D , the set of rational numbers Q (or ℚ), the set of real numbers R (or ℝ) and the set of complex numbers C (or ℂ). These 5 sets are sometimes abbreviated as NZQRC.In mathematics, a variable (from Latin variabilis, "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. [1]What does the letters Z, N, Q and R stand for in set notation?The following letters describe what set each letter represents:N is the set of natural numbers ...Sometimes in math there are numbers that go on forever. Most of the time, they repeat the same numbers over and over again. For example, some solutions for division equations go on forever.DOM, EMD, contingency, stale listing, and other housing market lingo. Previously, we explained the difference between a half-bath and a full-bath, and other toilet-related math, along with why you may start seeing listings referring to the ...Absolute value. The graph of the absolute value function for real numbers. The absolute value of a number may be thought of as its distance from zero. In mathematics, the absolute value or modulus of a real number , denoted , is the non-negative value of without regard to its sign. Namely, if is a positive number, and if is negative (in which ...Z is the symbol for the set of integers. n E Z means n is an element of the set of integers, ie n is an integer. If pi/6 and -pi/6 are solutions, then so is every angle coterminal with pi/6 and -pi/6 (unless you are told to restrict your domain) Adding n2pi, ie an integer number of 2pi (full circles) accounts for all the coterminal angles.what does cultural shock mean
Set (mathematics) A set is the mathematical model for a collection of different [1] things; [2] [3] [4] a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. [5]Sometimes in mathematics it's important to determine what the opposite of a given mathematical statement is. This is usually referred to as "negating" a ...Math Symbols: Read As. Extended definition n > 0; n is greater than zero. Greater than (>): the open end contains the greater number sign (+) positive or plus.Aug 30, 2022 · Answer: A complex number is defined as the addition of a real number and an imaginary number. It is represented as “z” and is in the form of (a + ib), where a and b are real numbers and i is an imaginary unit whose value is √ (-1). The real part of the complex number is represented as Re (z), and its imaginary part is represented as Im (z). Unicode: Math Font ℤ. By Xah Lee. Date: 2016-08-25 . Last updated: 2023-04- ... Meaning in Math. ℤ: integers. ℕ: natural numbers. ℙ: primes. ℚ: be rational.t. e. In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics. Here is a list of commonly used mathematical symbols with names and meanings. Also, an example is provided to understand the usage of mathematical symbols. x ≤ y, means, y = x or y > x, but not vice-versa. a ≥ b, means, a = b or a > b, but vice-versa does not hold true. . 12. Short answer: A ⊊ B A ⊊ B means that A A is a subset of B B and A A is not equal to B B. Long answer: There is some confusion on mathematical textbooks when it comes to the symbols indicating one set is a subset of another. It's relatively clear what the symbol " ⊆ ⊆ " means. This symbol is more or less universally understood as the ...The one most liked is called the Gamma Function ( Γ is the Greek capital letter Gamma): Γ (z) =. ∞. 0. x z−1 e −x dx. It is a definite integral with limits from 0 to infinity. It matches the factorial function for whole numbers (but sadly we must subtract 1): Γ (n) = (n−1)! for whole numbers. So:Here is a list of commonly used mathematical symbols with names and meanings. Also, an example is provided to understand the usage of mathematical symbols. x ≤ y, means, y = x or y > x, but not vice-versa. a ≥ b, means, a = b or a > b, but vice-versa does not hold true. . mathematics: [noun, plural in form but usually singular in construction] the science of numbers and their operations (see operation 5), interrelations, combinations, generalizations, and abstractions and of space (see 1space 7) configurations and their structure, measurement, transformations, and generalizations.What does omega mean in discrete mathematics? Define f: Z to Z by f(x) = 2021x^3-2663x+10. Determine whether or not f is one-to-one and, or onto. What does the inverted e mean in discrete mathematics? Using mathematical logic and explain why the following is true: If x = 1 and y = 2, and z = xy, then z = 2. Suppose m 0. Is Z mod mZ a subset of Z?What does Z stand for in math? Z stands for Set of Integers (math) Suggest new definition. This definition appears very frequently and is found in the following Acronym Finder categories: Science, medicine, engineering, etc. What does the symbol Z mean in math? Z is an abbreviation for “zero” that is typically used online.k.u. basketballThe less than symbol is “ < ” and with this metric, we can compare numbers, weights, heights, and values. Let’s look at some examples of less than. Example 1, there are 4 marbles in Bowl A, and 7 marbles in Bowl B. On comparing the two, it is clear that Bowl A has fewer marbles than Bowl B. Weights can be compared similarly.Basic Mathematics. The fundamentals of mathematics begin with arithmetic operations such as addition, subtraction, multiplication and division. These are the basics that every student learns in their elementary school. Here is a brief of these operations. Addition: Sum of numbers (Eg. 1 + 2 = 3)Z + is the set of nonnegative, Z + + is the set of positive. But to be honest, I've never seen that notation before. Conceivably, Z++ is a reference to the object-oriented extension of …Example 1: If a z score is given as -2.05 then find the value using the z score table. Solution: Using the negative z table the value of -2.05 is given as the intersection of -2.0 and 0.05 as 0.02018. Answer: 0.02018. Example 2: If the raw score is given as 250, the mean is 150 and the standard deviation is 86 then find the value using the z table. An expression in Math is made up of the following: a) Constant: it is a fixed numerical value. Example: 7, 45, 4 1 3, − 18, 5, 7 + 11. b) Variables: they do not take any fixed values. Values are assigned according to the requirement. Example: a, p, z.Definition 9.1.3. The cardinality of the empty set {} { } is 0. 0. We write #{}= 0 # { } = 0 which is read as "the cardinality of the empty set is zero" or "the number of elements in the empty set is zero.". 🔗. We have the idea that cardinality should be the number of elements in a set. This works for sets with finitely many elements ...First we specify a common property among "things" (we define this word later) and then we gather up all the "things" that have this common property. For example, the items you wear: hat, shirt, jacket, pants, and so on. I'm sure you could come up with at least a hundred. This is known as a set.meaning for functions given below. ⊃ may mean the same as ⇒, or it may have the meaning for superset given below. x = 2 ⇒ x2 = 4 is true, but x2 = 4 ⇒ x = 2 is in general false (since x could be −2). implies; if … then propositional logic, Heyting algebra ⇔ material equivalence A ⇔ B means A is true if B is true and A is false ...What does omega mean in discrete mathematics? Define f: Z to Z by f(x) = 2021x^3-2663x+10. Determine whether or not f is one-to-one and, or onto. What does the inverted e mean in discrete mathematics? Using mathematical logic and explain why the following is true: If x = 1 and y = 2, and z = xy, then z = 2. Suppose m 0. Is Z mod mZ a subset of Z?Provide detailed answers to this question, including citations and an explanation of why your answer is correct. Answers without enough detail may be edited or deleted. z* means the critical value of z to provide region of rejection if confidence level is 99%, z* = 2.576 if confidence level is 95%, z* = 1.960 if confidence level is 90%, z* = 1. ...Oct 16, 2019 · In a wide sense, as argued below, the answer is no. Indeed, R(z) ℜ ( z) is not a holomorphic function since its image is the real line. In this sense, there is no formula for R(z) ℜ ( z) that does not involve z¯ z ¯, because the Cauchy–Riemann equations fail for R(z) ℜ ( z) : This was said already in the comments. May 11, 2012 · a polygon with four equal sides and four right angles. 1. a geometry shape. 2. to multiply a number by itself. greater in size or amount or extent or degree. i have more than you. addition. addend. a number that is combined with another number. 6 + 3 = 9; 6 and 3 are the addends. pslf recertification form
In mathematics, translation means moving an object from one location to another. It is a term often used in geometry. In translation, the object is moved without rotating, reflecting or resizing it.Definition. A ring is a set R equipped with two binary operations + (addition) and ⋅ (multiplication) satisfying the following three sets of axioms, called the ring axioms. R is an abelian group under addition, meaning that: (a + b) + c = a + (b + c) for all a, b, c in R (that is, + is associative).The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is ...Basic Mathematics. The fundamentals of mathematics begin with arithmetic operations such as addition, subtraction, multiplication and division. These are the basics that every student learns in their elementary school. Here is a brief of these operations. Addition: Sum of numbers (Eg. 1 + 2 = 3)This glossary contains words and phrases from Fourth through Sixth Grade Everyday Mathematics. To place the definitions in broader mathematical contexts, most entries also refer to sections in this Teacher’s Reference Manual. In a definition, terms in italics are defined elsewhere in the glossary. acute triangle A triangle with three acute ... A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants. Illustrated definition of Constant: A fixed value.Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard ...In math, the definition of quotient is the number which is the result of dividing two numbers. The dividend is the number that is being divided, and the divisor is the number that is being used to divide the dividend.The nonnegative integers 0, 1, 2, ....jalen robinson football
Integers are sometimes split into 3 subsets, Z + , Z - and 0. Z + is the set of all positive integers (1, 2, 3, ...), while Z - is the set of all negative integers (..., -3, -2, -1). Zero is not included in either of these sets . Z nonneg is the set of all positive integers including 0, while Z nonpos is the set of all negative integers ...Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.What does omega mean in discrete mathematics? Define f: Z to Z by f(x) = 2021x^3-2663x+10. Determine whether or not f is one-to-one and, or onto. What does the inverted e mean in discrete mathematics? Using mathematical logic and explain why the following is true: If x = 1 and y = 2, and z = xy, then z = 2. Suppose m 0. Is Z mod mZ a subset of Z?May 9, 2014 · 1. There is no formal proof: it's a definition. Looking at z = x + yi z = x + y i and doing. zz∗ = (x + yi)(x − yi) = x2 +y2 z z ∗ = ( x + y i) ( x − y i) = x 2 + y 2. shows that, when we interpret a complex number as a point in the Argand-Gauss plane, |z| | z | represents the distance of the point from the origin. Share. Z-transform. In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency-domain (the z-domain or z-plane) representation. [1] [2]