Sentence examples for the fundamental example from inspiring English sources

In his Critique of Pure Reason Kant used these distinctions, in part, to explain the special case of mathematical knowledge, which he regarded as the fundamental example of a priori knowledge.

Here is the Fundamental Example of Leavitt path algebras.

Not only was the approach in [27] special for the Neumann problem, but it follows from the fundamental example of Pogorelov [32] that the result cannot be extended to general linear oblique boundary value problems [47, 52].

The fundamental examples of rings that are encountered during one's algebraic pubescence (e.g., fields K, Z, K [ x ], K [ x, x - 1 ], M n ( K ) ) all have the following property.

The most fundamental example of this is the Lie theory for right alternative loops which relates them to flat Sabinin algebras and Hopf algebras satisfying (15).

The purpose of the study is to find out most effective activities that could be applied in "Perspectives in Literature Class" while the novel which is one of the most fundamental example of American Literature – ""To Kill a Mockingbird" by Harper Lee - is analyzed in terms of various narration techniques including characterization, theme, plot, exposition, point of view, motifs and symbols.

The undoubtedly most fundamental example of transient dynamics is the phenomenon of excitability, that is, all-or-none behavior.

They considered the existence of periodic solutions suggested by the two fundamental examples ((alpha >0), and (h:Rrightarrow R) is a continuous T-periodic function) x"(t)+frac{1}{x^{alpha }(t)}=h(t) (1.1) (the singularity of attractive type) and x"(t -frac{1}{x^{alpha }(t -frac{1}{.2) (the singularity of repulsive type).

Lazer and Solimini in [7] considered in 1987 problems of periodic solutions for the equation with a singularity suggested by the two fundamental examples x"+frac{1}{x^{alpha}}=h(t) (1.1) (attractive restoring force) and x -frac{1}{x -frac{1}{h(t) (1.2) (repulsive restoring force), where (alpha>0) is a constant and (h: mathbb{R}rightarrowmathbb{R}) is a T-periodic continuous function.

But the report and most of the few mainstream media accounts ignored altogether an even more fundamental example of failed oversight: the federal government's lax monitoring of state Medicaid programs dispensing these potentially life-threatening medications to children.

In the paper of Hadamard, he provided a fundamental example which shows that a solution of a Cauchy problem for Laplace's equation does not depend continuously on the data.