The efficiency of two wide-spread forms of unified equation of state for gas and liquid states was investigated. These forms are a simple polynomial equation and a polynomial equation with additional exponential terms in density. The second of these equations is similar to the modified Benedict-...
Equation of a Line Using Point-Slope Formula Equivalent Equations | Definition & Examples Exponential Model | Overview & Real-Life Examples Find the Slope of a Line | Formula & Examples Finding Linear Equations to Fit Experimental Data Finding the Slope of Parallel Lines | Formula, Method & Exam...
The following sections will go in-depth in using the hypothenuse formula to explore circle equations. Hypotenuse Formula The hypotenuse formula is based on labeling the parts of a right triangle and inserting each of these parts in the equationa2+b2=c2. The variables a and b are lengths of...
Solving Exponential Equations Using a Hyperbola An exponential equation can be converted into a hyperbola by taking the reciprocal of both sides and then transforming it into another form, such as the line or parabola. Since exponents are equivalent to multiplication, the solution for this method is...
The single-channel conductance and open time were determined by fitting to Gaussian functions or to single or bi-exponential equations. Opening times < 0.5-1.5 ms were ig- nored. The equilibrium potential was calculated using the Nernst equation, and the ion selectivity was calculated using the ...
More specifically, we have learnt how to convert a non-linear algebraic equation and an exponential equation into linear form y=mx+c.y=mx+c. Be careful when manipulating a non-linear equation algebraically! For exponential equations, make sure the laws of logarithm are applied correctly to ...
41 EXPONENTIAL DIOPHANTINE EQUATIONS AND SKOLEM'S CONJECTURE 1:32:28 L-functions in Analytic Number Theory_ Biitu 46:17 Lifts of Hilbert modular forms and application to modularity of Abelian varietie 51:32 Modularity of Calabi-Yau Varieties 1:14:57 Moments of L-functions in the world of ...
There are various approaches to the problem of finding good ξ preimages: Bruinier [14] and Bringmann and Ono [9] showed that certain real-analytic Poincaré series, originally introduced by Niebur [26], map to the classical exponential type Poincaré series of dual weight under the ξ-operato...
Exponential Forms of Inverse Trig & Hyperbolic Functions I'm try to prove some trig identities and I need to know how to write the following functions in their exponential forms: sin^{-1}z cos^{-1}z sinh^{-1}z cosh^{-1}z I know how the sine and cosine functions are expressed wi...
Oblique clinoforms exhibit asymmetrical morphologies which can be described by an exponential function for elevation (i.e. abrupt break in slope from topset-to-foreset, typically with toplap seismic terminations, and gradual break in slope from foreset-to-bottomset), have narrow topsets and steep...