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searching for Difference quotient 12 found (37 total)

Finite difference method (3,607 words) [view diff] exact match in snippet view article find links to article

u'(x)=3u(x)+2.} The Euler method for solving this equation uses the finite difference quotient u ( x + h ) − u ( x ) h ≈ u ′ ( x ) {\displaystyle {\frac {u(x+h)-u(x)}{h}}\approx

Russo–Vallois integral (956 words) [view diff] exact match in snippet view article find links to article

idea is to replace the derivative g ′ {\displaystyle g'} by the difference quotient g ( s + ε ) − g ( s ) ε {\displaystyle g(s+\varepsilon )-g(s) \over

Fundamental increment lemma (583 words) [view diff] exact match in snippet view article find links to article

when h {\displaystyle h} is sufficiently close to zero, that the difference quotient f ( a + h ) − f ( a ) h {\displaystyle {\frac {f(a+h)-f(a)}{h}}}

Derivative (7,280 words) [view diff] exact match in snippet view article find links to article

secant lines do not approach any single slope, so the limit of the difference quotient does not exist. However, even if a function is continuous at a point

Difference of Gaussians (1,312 words) [view diff] exact match in snippet view article find links to article

{1}{2}}\Delta \Phi _{t}(x).} The left-hand side can be approximated by the difference quotient Φ t + δ t ( x ) − Φ t ( x ) δ t = 1 δ t K t + δ t , t ( x ) . {\displaystyle

Complex analysis (2,538 words) [view diff] exact match in snippet view article find links to article

counterparts. In particular, for this limit to exist, the value of the difference quotient must approach the same complex number, regardless of the manner in

L'Hôpital's rule (7,128 words) [view diff] exact match in snippet view article find links to article

rule to prove the value of a derivative by computing the limit of a difference quotient. Since applying l'Hôpital requires knowing the relevant derivatives

Hölder condition (2,414 words) [view diff] exact match in snippet view article find links to article

\left|{\frac {f(x)-f(y)}{x-y}}\right|\leq C|x-y|^{\alpha -1}} , so the difference quotient converges to zero as | x − y | → 0 {\displaystyle |x-y|\to 0} . Hence

TI-36 (1,401 words) [view diff] exact match in snippet view article find links to article

two numbers), mod(Modulo) Calculus: numeric derivative (symmetric difference quotient method) 2-variable statistics: quadratic and cubic regressions Distribution

Generalizations of the derivative (3,555 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbb {H} } are not commutative, the limit of the difference quotient yields two different derivatives: A left derivative lim h → 0 [ h

Elasticity coefficient (3,341 words) [view diff] exact match in snippet view article find links to article

v_{1}} , then the elasticity can be estimated by using Newton's difference quotient: ε s v ≃ v 1 − v o Δ s o s o v o = v 1 − v o v o / s 1 − s o s o

Sobolev spaces for planar domains (8,926 words) [view diff] exact match in snippet view article find links to article

R_{t}f(x,y)=f(x,y+t).} On T2 it is known that if f is in Hk, then the difference quotient δh f = h−1(Rh f − f ) → ∂y f in Hk−1; if the difference quotients