We shall be concerned with the Monge-Ampere equation, which for a smooth function u, is given by (0.0.1) There is a notion of generalized or weak solution to (0.0.1): for u convex in a domain n, one can define a measure Mu in n such that if u is smooth, then Mu 2 has ...
differential equation- an equation containing differentials of a function simultaneous equations- a set of equations in two or more variables for which there are values that can satisfy all the equations simultaneously mathematical statement- a statement of a mathematical relation ...
Also, note that logarithmic function is an increasing function. Some of properties which will helps us to simplify the equation are as follows: For any non zero positive real number a and b, we have1.logba=logalogb2.logba=logab3.alogb=logba4.loga=log...
Here is the corrected code (note how the EQN is set up for the given equation): clc, clearvars symsm m1=7; m2=9.41; t1=273+30; t2=273+50; t=40+273; b=(log10(log10(m1))-log10(log10(m2)))/((log10(t1)-(log10(t2))); a...
We also sow that without changing the asymptotic condition for this case, a uniqueness theorem similar to the Webster's result is also valid for eventually \\log \\log -convex solutions f f of the second order. This result implies a new uniqueness theorem for the gamma function which states...
problem = prob2struct(prob,x0,'ObjectiveFunctionName','logrosenbrock',...'ConstraintFunctionName','circle2'); prob2structcreates nonlinear objective and constraint function files in the current folder. To create these files in a different folder, use the'FileLocation'name-value pair. ...
For example+has the format010and factorial has01. precedence Specifies the precedence of operator. The less the value, the higher the precedence, resulting in sooner execution. registerConstant(key: String, value: Function/Number) Registers a new constant. value can be a function (takes no argum...
For Mo, we assumed that the sorbed molybdenum was dominated by molybdate(VI). If we take the logarithm of both sides, and substituted log{H+} for pH, Eq. 4 becomes: (5)logS=logKe+n⁎logC−β⁎pH This indicates a linear relationship between log S and log(C) − β*pH. The...
Absolute value definition. Learn the absolute value function equation, the domain of absolute value function, and see some absolute value function...
Consider a car whose gas tank can hold 15 gallons of gasoline. The price of gasoline is $2.75 per gallon. What is the domain and range of this function? The function for this model would bey=2.75x. The domain is the amount of gasoline that could be put into the tank, so in interval...