PPT-Discrete and Continuous Functions

Discrete Function The graph of a discrete function consists of separate points Continuous Function The graph of a continuous function is unbroken Domain and Range Domain Range 0. If is continuous at every point of an interval then is a continuous function over 2 A number is a discontinuity of a function if one of the following occurs i is not in the domain of or ii if is in the domain of but lim does not exist or inde 5.1 Discrete-time Fourier Transform . Representation for discrete-time signals. Chapters 3, 4, 5. Chap. 3 . Periodic. Fourier Series. Chap. 4 . Aperiodic . Fourier Transform . Chap. 5 . Aperiodic . Variational. Time Integrators. Ari Stern. Mathieu . Desbrun. Geometric, . Variational. Integrators for Computer Animation. L. . Kharevych. Weiwei. Y. Tong. E. . Kanso. J. E. Marsden. P. . Schr. ö. 5.1 Discrete-time Fourier Transform . Representation for discrete-time signals. Chapters 3, 4, 5. Chap. 3 . Periodic. Fourier Series. Chap. 4 . Aperiodic . Fourier Transform . Chap. 5 . Aperiodic . Nuffield Secondary School Mathematics. BSRLM March 12. th. 2011. Algebraic reasoning. formulating, . transforming . and understanding unambiguous generalizations of numerical and spatial situations and relations; . Introductory Lecture. What is Discrete Mathematics?. Discrete mathematics is the part of mathematics devoted to the study of discrete (as opposed to continuous) objects.. Calculus deals with continuous objects and is not part of discrete mathematics. . Determine if a relation is a function.. Determine if the graph of a function is continuous or discrete. .. Graph . in a coordinate plane ordered pairs that represent a relation..  Describe and represent relations and functions using tables, graphs, words, and rules. . Backus-Gilbert Theory. and. Radon’s Problem. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . are . Continuous. Connecting Differentiability . and . Continuity. Differentiability and Continuity. Continuous functions . are . not necessarily differentiable. . For instance, start with . Andrew . Frank 11/02/2009. Joint work with . Alex Ihler and Padhraic Smyth. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. Graphical Models. Nodes represent random variables.. Chapter 5. Discrete-Time Process Models. Discrete-Time Transfer Functions. The input to the continuous-time system . G. (. s. ) is the signal:. The system response is given by the convolution integral:. Chapter 5. Discrete-Time Process Models. Discrete-Time Transfer Functions. The input to the continuous-time system . G. (. s. ) is the signal:. The system response is given by the convolution integral:. Section 6.1. Discrete & Continuous Random Variables. After this section, you should be able to…. APPLY the concept of discrete random variables to a variety of statistical settings. CALCULATE and INTERPRET the mean (expected value) of a discrete random variable. Nisheeth. Random Variables. 2. Informally, a random variable (. r.v.. ) . denotes possible outcomes of an event. Can be discrete (i.e., finite many possible outcomes) or continuous. Some examples of discrete .