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Exponential And Logarithmic Functions by Kenneth F. Klopfenstein

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1Eureka Math : A Story Of Functions. Algebra II. Module 3, Exponential And Logarithmic Functions

1 volume (various pagings) : 28 cm

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2Generalized Thermostatistics Based On Deformed Exponential And Logarithmic Functions

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The equipartition theorem states that inverse temperature equals the log-derivative of the density of states. This relation can be generalized by introducing a proportionality factor involving an increasing positive function phi(x). It is shown that this assumption leads to an equilibrium distribution of the Boltzmann-Gibbs form with the exponential function replaced by a deformed exponential function. In this way one obtains a formalism of generalized thermostatistics introduced previously by the author. It is shown that Tsallis' thermostatistics, with a slight modification, is the most obvious example of this formalism and corresponds with the choice phi(x)=x^q.

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3Exponential And Logarithmic Functions : With Calculator Commentary

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The equipartition theorem states that inverse temperature equals the log-derivative of the density of states. This relation can be generalized by introducing a proportionality factor involving an increasing positive function phi(x). It is shown that this assumption leads to an equilibrium distribution of the Boltzmann-Gibbs form with the exponential function replaced by a deformed exponential function. In this way one obtains a formalism of generalized thermostatistics introduced previously by the author. It is shown that Tsallis' thermostatistics, with a slight modification, is the most obvious example of this formalism and corresponds with the choice phi(x)=x^q.

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4MTH-5107-2, Exponential And Logarithmic Functions And Equations

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The equipartition theorem states that inverse temperature equals the log-derivative of the density of states. This relation can be generalized by introducing a proportionality factor involving an increasing positive function phi(x). It is shown that this assumption leads to an equilibrium distribution of the Boltzmann-Gibbs form with the exponential function replaced by a deformed exponential function. In this way one obtains a formalism of generalized thermostatistics introduced previously by the author. It is shown that Tsallis' thermostatistics, with a slight modification, is the most obvious example of this formalism and corresponds with the choice phi(x)=x^q.

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5Exponential And Logarithmic Functions

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iv, 206 p. : 24 cm

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6An Elementary Theory Of The Exponential And Logarithmic Functions

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"An Elementary Theory of the Exponential and Logarithmic Functions" is an article from The American Mathematical Monthly, Volume 23 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2973888

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7A Continuum Among Logarithmic, Linear, And Exponential Functions, And Its Potential To Improve Generalization In Neural Networks

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We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is simple, differentiable, and parameterized so that it can be trained as the rest of the network is trained. We hypothesize that soft exponential has the potential to improve neural network learning, as it can exactly calculate many natural operations that typical neural networks can only approximate, including addition, multiplication, inner product, distance, polynomials, and sinusoids.

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8Exponential And Logarithmic Functions With Calculator Commentary

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We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is simple, differentiable, and parameterized so that it can be trained as the rest of the network is trained. We hypothesize that soft exponential has the potential to improve neural network learning, as it can exactly calculate many natural operations that typical neural networks can only approximate, including addition, multiplication, inner product, distance, polynomials, and sinusoids.

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9Exponential And Logarithmic Functions

We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is simple, differentiable, and parameterized so that it can be trained as the rest of the network is trained. We hypothesize that soft exponential has the potential to improve neural network learning, as it can exactly calculate many natural operations that typical neural networks can only approximate, including addition, multiplication, inner product, distance, polynomials, and sinusoids.

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10The Exponential And Logarithmic Functions

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"The Exponential and Logarithmic Functions" is an article from The American Mathematical Monthly, Volume 25 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2974149

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11Exponential And Logarithmic Functions

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Includes index

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12Differentiation Of Exponential And Logarithmic Functions

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"Differentiation of Exponential and Logarithmic Functions" is an article from The Analyst, Volume 10 . View more articles from The Analyst . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2635786

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13Exponential And Logarithmic Functions

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1 online resource (vi, 250 pages)

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14Exponential And Logarithmic Functions : With Calculator Commentary

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1 online resource (vi, 250 pages)

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15Calculus AB Lesson 05: Exponential And Logarithmic Functions

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16Definite Integrals (II.). Logarithmic And Exponential Functions Involved

Indeks;Reprinted.;XV, [1], 980 p. : il. ; 21 cm

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17Calculus BC Lesson 05: Exponential And Logarithmic Functions

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18Solving Logarithmic Equations Exponential And Logarithmic Functions Algebra II Khan Academy[ 1]

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To be used For understanding math concept by high school students.

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19Exponential And Logarithmic Functions

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To be used For understanding math concept by high school students.

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20ERIC ED477690: Students' Understanding Of Exponential And Logarithmic Functions.

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Exponential, and logarithmic functions are pivotal mathematical concepts that play central roles in advanced mathematics. Unfortunately, these are also concepts that give students serious difficulty. This report describe a theory of how students acquire an understanding of these functions by prescribing a set of mental constructions that a student can make to develop his or her understanding of these concepts. We analyze students' understanding of these concepts within the context of our theory. Our main result was that while all of the students in the study could compute exponents in simple cases, few students could reason about the process of exponentiation. Thus, according to our theory, these students' knowledge of exponential and logarithmic function will be limited. We conclude by describing instructional activities based on our theoretical analysis designed to foster students' understanding of these concepts. (Author)

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21Advanced Algebra : Tools For A Changing World. Chapter 7 Support File : Exponential And Logarithmic Functions

Exponential, and logarithmic functions are pivotal mathematical concepts that play central roles in advanced mathematics. Unfortunately, these are also concepts that give students serious difficulty. This report describe a theory of how students acquire an understanding of these functions by prescribing a set of mental constructions that a student can make to develop his or her understanding of these concepts. We analyze students' understanding of these concepts within the context of our theory. Our main result was that while all of the students in the study could compute exponents in simple cases, few students could reason about the process of exponentiation. Thus, according to our theory, these students' knowledge of exponential and logarithmic function will be limited. We conclude by describing instructional activities based on our theoretical analysis designed to foster students' understanding of these concepts. (Author)

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22ERIC ED174449: Biomedical Mathematics, Unit VII: Exponential And Logarithmic Functions. Student Text. Revised Version, 1977.

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This collection of lessons, exercises, and experiments deals with exponential and logarithmic mathematical functions in the context of biomedical situations. Typical units in this collection provide discussion of the biomedical problem or setting, discussion of the mathematical concept, several example problems and solutions, and a set of problems for the student to solve. Seventeen concept sections are presented, each subdivided into several lesson units. (RE)

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23Business Mathematics Lecture: Exponential, Logarithmic, And Nonlinear Functions

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Lecture from a Business Mathematics course (2005 - 6) by KIT

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24Complete Versus Incomplete Definitions Of The Deformed Logarithmic And Exponential Functions

Lecture from a Business Mathematics course (2005 - 6) by KIT

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25Arithmetical And Geometrical Means Of Generalized Logarithmic And Exponential Functions: Generalized Sum And Product Operators

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One-parameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity. Analytical expressions for the successive applications of the sum or product operators on several values of a variable are obtained here. Applications of the above formalism are considered.

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  • Language: English

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26Business Mathematics Projection: Exponential, Logarithmic, And Nonlinear Functions

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Projection from a Business Mathematics course (2005 - 6) by KIT

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27Business Mathematics Lecture: Exponential, Logarithmic, And Nonlinear Functions

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Lecture from a Business Mathematics course (2005 - 6) by KIT

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28Business Mathematics Projection: Exponential, Logarithmic, And Nonlinear Functions

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Projection from a Business Mathematics course (2005 - 6) by KIT

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Source: The Open Library

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1Exponential and logarithmic functions

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“Exponential and logarithmic functions” Metadata:

  • Title: ➤  Exponential and logarithmic functions
  • Author:
  • Language: English
  • Number of Pages: Median: 233
  • Publisher: ➤  Davies Group - Davies and Associates
  • Publish Date:
  • Publish Location: Aurora, CO

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Access and General Info:

  • First Year Published: 1993
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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2Exponential and Logarithmic Functions

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Book's cover

“Exponential and Logarithmic Functions” Metadata:

  • Title: ➤  Exponential and Logarithmic Functions
  • Author:
  • Language: English
  • Number of Pages: Median: 237
  • Publisher: ➤  Davies and Associates - Davies Group Publishers
  • Publish Date:
  • Publish Location: Aurora, CO

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Access and General Info:

  • First Year Published: 1991
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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