Let $(G, \cdot)$ be a group, $(H, +)$ be an Abelian group, and $f:G\rightarrow H$ be a function. In this paper, for a positive integer n, we first give a representation of nth-order Cauchy difference of f via the function as $$ C^{(n)}f(x_{1},x_{2},\ldot
phik=Lambdaphi1,..,phik−1,phik+1,..,phim so that when the φk, isolated on the left-hand-side, is linear in the highest derivatives, of differential order equal to the value of order used by InvariantEquation, the resulting system wil...
When αm,n equals 0 for m ≠ n, Eq. (6) will become a single ion Freundlich equation for component m. It means there is no competition between component m and n. For competitive adsorption Mo and P, they have following equations. 5.2 Surface complexation models Surface complexation models...
where 𝑄1Q1 denotes the observed streamflow in the pre-change period, and Δ𝑄𝑐ΔQc plus Δ𝑄ℎΔQh equals the total change in mean annual streamflow (Δ𝑄ΔQ) from period 1 to period 2. Both Δ𝑄ℎΔQh and Δ𝑄𝑐ΔQc can be positive or negative. Given the availa...
They have an equals sign and are assumed to be true. Think about what it means to be an equation. Doesn't it mean that the two sides are always equal? Yes, the left side must always equal the right side. For our trigonometric equation identities, instead of numbers or variables, we ...
Since the variables need to be moved to the left of the equals sign, the mx needs to be subtracted from the right and the left, which would leave the equation looking like: {eq}y = mx + b {/eq} Next thebis moved to the left by subtracting it from both sides, so slope intercept...
and the total concentration of particles is three times the concentration of CaCl2. Theosmolarityof a solution equals ΣCsand is expressed in osmoles per liter to indicate clearly that we are referring to the number of osmotically active solute particles, calledosmolytes, rather than the concentrati...
What is the least number that can be added to 2497 so that the sum is exactly divisible by 5, 6, 4, and 3? The sum of twice a number and 10 equals 180. What is the number? The sum of two numbers is 13. One number is five less than half of the other number. ...
0.3 (medium) which is the usual effect size, the Desired statistical power level of 0.8, and 7 latent variables which are health belief model constructs and the prevention practice, 53 observed variables in the model and probability level or type 1 error rate of 0.0 5 which equals 560 [26...
“precursor film”; cf.de Gennes, 1990),cosθalways exactly equals unity in these cases (van Oss, Giese, Li et al., 1992). In actual practice, the use of Washburn's equation (Eq.(2.18)) by counting the time t beginning at the very start of capillary advancement [i.e., from the...