![arXiv:1003.5939v1 [math.CO] 30 Mar 2010](http://s1.studyres.com/store/data/016290525_1-37241e0159a202e5bf035fd4e5a48270-300x300.png)
Math and Physics Refresher Geometry Calculus
... We will study the solutions to several differential equations when we study circuits in this class. Although you are not required to have taken a course in differential equations, we will learn how to solve the simplest ones: 1. The exponential function is the only function whose derivative is the f ...
... We will study the solutions to several differential equations when we study circuits in this class. Although you are not required to have taken a course in differential equations, we will learn how to solve the simplest ones: 1. The exponential function is the only function whose derivative is the f ...
Functions Review
... What is a function • A function is a set of numbers in which every x has a y value • The x values are called the functions DOMAIN • The y functions are called the called the RANGE • Functions are usually written as f(x) (but they can also be written as g(x), h(x) etc) • If you have to evaluate a fu ...
... What is a function • A function is a set of numbers in which every x has a y value • The x values are called the functions DOMAIN • The y functions are called the called the RANGE • Functions are usually written as f(x) (but they can also be written as g(x), h(x) etc) • If you have to evaluate a fu ...
ON ADDITIVE ARITHMETICAL FUNCTIONS AND APPLICATIONS
... Our proof of this result uses a combination of probabilistic and number theoretic methods, we use the central limit theorem and Brun's method . As stated in the introduction Kac gives a more detailed discussion of the connections between probability and number theory . As far as I know Kac and Wintn ...
... Our proof of this result uses a combination of probabilistic and number theoretic methods, we use the central limit theorem and Brun's method . As stated in the introduction Kac gives a more detailed discussion of the connections between probability and number theory . As far as I know Kac and Wintn ...
![arXiv:1510.00735v3 [math.NT] 14 Oct 2015](http://s1.studyres.com/store/data/015647175_1-32c28f0e3a09596218fdb4a3c649b24f-300x300.png)
Mathematics for Economics: Exercise 2
... (i) Derive the AVC ( average variable cost) function and show that , when AVC is a minimum , MC = AVC where MC is marginal cost. (ii) Derive the ATC (average total cost) function and check that , where q = 5, ATC is a minimum and MC = ATC. (iii) Show that the total cost function has a non-stationary ...
... (i) Derive the AVC ( average variable cost) function and show that , when AVC is a minimum , MC = AVC where MC is marginal cost. (ii) Derive the ATC (average total cost) function and check that , where q = 5, ATC is a minimum and MC = ATC. (iii) Show that the total cost function has a non-stationary ...
Full text
... on Bernoulli numbers have been published! For Fermat's last theorem, the reader is referred to Vandiver 1 s expository paper [21] as well as Dickson [8], Hilbert [ l l ] and Vandiver-Wahlin [23]. For the Euler numbers and related matters see Salie [17]. We conclude with some remarks about real quadr ...
... on Bernoulli numbers have been published! For Fermat's last theorem, the reader is referred to Vandiver 1 s expository paper [21] as well as Dickson [8], Hilbert [ l l ] and Vandiver-Wahlin [23]. For the Euler numbers and related matters see Salie [17]. We conclude with some remarks about real quadr ...
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function with the concept of the function's integral.The first part of the theorem, sometimes called the first fundamental theorem of calculus, is that the definite integration of a function is related to its antiderivative, and can be reversed by differentiation. This part of the theorem is also important because it guarantees the existence of antiderivatives for continuous functions.The second part of the theorem, sometimes called the second fundamental theorem of calculus, is that the definite integral of a function can be computed by using any one of its infinitely-many antiderivatives. This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.