Abstract: An algebraic theory of the logical operation of digital computers is developed. This theory takes into account the dynamic (time) behavior of computer processes. The computer signals and ...

SUNDIALS is a family of software packages providing robust and efficient time integrators and nonlinear solvers that can easily be incorporated into existing ...

Abstract: An algorithm is given for solving a general problem in combinational switching-circuit minimization theory. The circuits considered consist of a disjunction (OR-ing together) of trees of any ...

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the ...

This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported ...

Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive ...

Small nucleolar RNAs (snoRNAs) are known for their role in RNA modification to regulate gene expression. Here, the authors identify a snoRNA that not only guides ribosomal RNA 2’- O-methylation ...

Empower students to defend and promote the right to freedom of expression. This short course will equip you with the knowledge to understand and claim your right to freedom of expression, and the ...

Gene expression profiling is the determination of the pattern of genes expressed, at the level of transcription, under specific circumstances or in a specific cell to give a global picture of ...

Microsoft Teams for Education is a powerful communication app for schools that enhances collaboration and learning. Video collaboration, chat, assignments, class materials, and notes are all built ...

That is the idea underlying algebraic analysis. So instead of picking out a specific differential equation and examining it in detail, Sato and his colleagues devoted themselves to an entire class ...

The President’s chief lawyer said the right to guaranteed freedom of free expression in the Bill of Rights is “underpinned with truthful information” so that unknowing people are made aware ...