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In solving mathematical equations, particularly linear simultaneous equations, differential equations and integral equations, the terminology homogeneous is often used for equations with some linear operator L on the LHS and 0 on the RHS. In contrast, an equation with a non-zero RHS is called inhomogeneous or non-homogeneous, as exemplified by ...
A two-sided property is fulfilled on both sides. A one-sided property is related to one (unspecified) of two sides. Although the terms are similar, left–right distinction in algebraic parlance is not related either to left and right limits in calculus , or to left and right in geometry .
Ridge, an (n-2)-dimensional element Peak , an ( n -3)-dimensional element For example, in a polyhedron (3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak.
An element a in a magma (M, ∗) has the two-sided cancellation property (or is cancellative) if it is both left- and right-cancellative. A magma (M, ∗) has the left cancellation property (or is left-cancellative) if all a in the magma are left cancellative, and similar definitions apply for the right cancellative or two-sided cancellative ...
A function has a two-sided inverse if and only if it is bijective. A bijective function f is injective, so it has a left inverse (if f is the empty function, f : ∅ → ∅ {\displaystyle f\colon \varnothing \to \varnothing } is its own left inverse).
Make a double batch and freeze it for a quick healthy dinner. Serve the stew with couscous and steamed broccoli. View recipe. Skillet Sour Cream & Onion Chicken. Rachel Marek.
Any two-sided ideal of a ring R is an R-R-bimodule, with the ring multiplication both as the left and as the right multiplication. Any module over a commutative ring R has the natural structure of a bimodule. For example, if M is a left module, we can define multiplication on the right to be the same as multiplication on the left.
These days, her two adult children get a pass. "It's harder when kids are in college, they don't want to be in the Christmas card so I told them once they were over 20, they don't have to," she says.