The proof is based on the surjectivity theorem for the pseudo-monotone operators and modular function spaces and embedding theorems in generalized Orlicz spaces. Our approach in this paper can be extended natur
for some function f(⋅), and where yk denotes the channel observation of uk which exists only for systematic codes. Logarithmic Expression of the BCJR Algorithm When implemented as above, the BCJR algorithm suffers from numerical problems due to the finite precision of the representation of numbe...
View Solution A logarithmic function is continuous in its domain. View Solution Problems on Introduction to Logarithmic Function View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class ...
No. Recall that the range of an exponential function is always positive. While solving the equation, we may obtain an expression that is undefined.Example 4: Solving an Equation with Positive and Negative Powers Solve 3x+1=−23x+1=−2. Show Solution Try...
Solution: When the unknown x appears as an exponent, then to “free” it, take the inverse function of both sides. In this example, take the logarithm with base 5 of both sides. In general, if we have any equation, f(x) = a, ...
Logarithmic Function View Solution Importance of domain in logarithmic Inequalities View Solution Standard Logarithmic Inequalities View Solution Some Standard Graphs Of Quadratic Equations|Questions|Binomial Expression|The First Law Of Logarithm|The Second Law Of Logarithm|Logarithms|The Third Law Of Logarithm...
Y two X, with a variable analytic equation, corresponding to each identified by positive x equation has only positive and y, so y is a function of X and LG (XY) is a function of X. So LG (XY) range is actually a function domain problems, how to establish the function relationship?
Power Rule of Logarithms: The power rule of logarithms states that the exponent of a number being operated upon by a logarithm function can become the coefficient of the logarithm of the base number: ln(ab)=bln(a). The following two problems demonstrate how...
Almost all of the problems in this part make use of the Fundamental Duality that exists between the log function and the exponential function: log v a u v a u = ⇔ = For the log function on the left, the quantity u is the argument of the log function and the quantity v is it...
9.3.5 Solid-State Kinematics for Mechanical Problems For describing finite deformation kinematics associated with complex loading situations, two basic approaches are conceivable. The first method, referred to as the Lagrange presentation, describes the movement of each elementary unit as a function of ...