he variable t is usually referred to as the\time Note the use of an integral form in the formal definition(2.2): it assumes that the function tHa(a(t), t)is integrable on T, but does not require =a(t)to be differentiable at any particular point, which turns out to be convenient for working with discontinuous

The analysis of the outcome of a reaction requires that we know the full structure of the products as well as the reactants In the 1 gth and early 20th centuries, structures

Wilhelm Rontgen ca 1895 (1845-1923) Inset phot Radiograph of frau Rontgen's hand Nobel Prize 1901: in recognition of the extraordinary services he has rend red hw the discovery of the remarKable rays subsequently named after hi

实验3的基本内容 插值的基本原理 Experiments in Mathematics 三种插值方法:拉格朗日插值,分段线性 插值,三次样条插值

Intensive stud Lighten Your Load and save Your life Para.1 If you often feel angry and overwhelmed, like the stress in your life is spinning out of control, then you may be hurting your heart. Para. 2 If you dont want to break your own heart, you need to learn to take charge of your life where you can-and recognize there are many things beyond your control

Sampling Sampling provides a discrete-time representation of a continuous waveform Sample points are real-valued numbers In order to transmit over a digital system we must first convert into discrete valued numbers

Noise is additional\unwanted \signal that interferes with the transmitted signal Generated by electronic devices The noise is a random process Each\sample \ of n(tis a random variable Typically, the noise process is modeled as\Additive White Gaussian noise”(AWGN) White: Flat frequency spectrur Gaussian noise distribution

Information content of a random variable Random variable x Outcome of a random experiment Discrete R V takes on values from a finite set of possible outcomes PMF: P(X=y)=Py) How much information is contained in the event X=y? Will the sun rise today Revealing the outcome of this experiment provides no information Will the Celtics win the NBa championship? Since this is unlikely, revealing yes provides more information than revealing Events that are less likely contain more information than likely events

Objectives Review the format and expectations for the final exam Review material needed to succeed on the final exam Set the material from the course in the context of the product realization process Answer questions

Learning objectives Introduce explore orthogonality Study the standard oas Practice computing dOF of an experiment Learn how to select a standard oa Introduce means to modify Oas Consider studying interactions in Oas Robust System Design