What is Kernel: Definition and 211 Discussions

The Linux kernel is a free and open-source, monolithic, modular, multitasking, Unix-like operating system kernel. It was conceived and created in 1991 by Linus Torvalds for his i386-based PC, and it was soon adopted as the kernel for the GNU operating system, which was created as a free replacement for UNIX. Since then, it has spawned a plethora of operating system distributions, commonly also called Linux.
Linux is deployed on a wide variety of computing systems, such as embedded devices, mobile devices (including its use in the Android operating system), personal computers, servers, mainframes, and supercomputers. It can be tailored for specific architectures and for several usage scenarios using a family of simple commands (that is, without the need of manually editing its source code before compilation); privileged users can also fine-tune kernel parameters at runtime. Most of the Linux kernel code is written using the GNU extensions of GCC to the standard C programming language and with the use of architecture specific instructions (ISA). This produces a highly optimized executable (vmlinux) with respect to utilization of memory space and task execution times.Day-to-day development discussions take place on the Linux kernel mailing list (LKML). Changes are tracked using the version control system git, which was created by Torvalds as a bespoke replacement for BitKeeper. Linux as a whole is released under the GNU General Public License version 2 (GPLv2), but it also contains several files under other compatible licenses, and an ad hoc exemption for the user space API header files (UAPI).

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    Linear Transformation: Kernel, Dependence, Dimension, Basis

    This is probably a simple question, but just to be sure: if the kernel of linear transformation is {0}, then the set is linearly dependent since 0-vector is LD, right? So dimension is 0, right? Then what's the basis of kernel? No basis? thanks in advance.
  2. A

    Does the notation used for the span part of an eigenvector matter?

    If you have the following kernel (I think that's what it's called): A-\lambda I=\begin{pmatrix}4 & 1 \\ 4 & 1\end{pmatrix} You could write the eigenvector as: \operatorname{span}\begin{pmatrix}1 \\ -4\end{pmatrix} My question is: does it matter how you write the "span" part of it...
  3. M

    Kernel of differentiation and integration

    hi, i got a algebra question regarding kernel 1.what is the kernel of intergration operator: T(p)= p'(x)? 2. what is the kernel of differentiation operator : T(p) = integration of p(x) from -1 to 1 thanks
  4. Crumbles

    Kernel Times in Windows XP Task Manager Explained

    I've recently noticed that there is a 'Show Kernel Times' option in Windows XP's Task Manager under the 'Performance' tab. This shows up as a red meter over the green 'CPU Usage' meter. I gathered that the Kernel is a piece of software that allows the operating system to multi-task but what...
  5. Z

    Show that c_1,c_2 Exist for Dirichlet Kernel Integral

    First the problem: If D_n is the Dirichlet kernel, I need to show that there exist positive constants c_1 and c_2 such that c_1 \log n \le \int\limits_{ - \pi }^\pi {\left| {D_n \left( t \right)} \right|dt} \le c_2 \log n for n=2,3,4,.... The only thing I have been able to do is this...
  6. T

    Kernel of a field homomorphism

    Show that the kernel of a field homomorphism is either the trivial homomorphism or isomorphic to the field. I've tried to see it as a factor group, but I'm stuck. Can someone help? mary
  7. E

    Integral equation with kernel K(st)

    Hello i would need help to solve the integral equation with Kernel K(st)...
  8. C

    What is the Relationship Between the Image and Kernel of T and T^n?

    Hi, What's the relationship between the image and kernel of T and the image and kernel of Tn? I think we saw in class something along the lines of: Ker(T) \subseteq Ker(T^2) Im(T) \supseteq Im(T^2) My intuition is that this is also correct for any natural n, but is it true and if so...
  9. L

    Finding Kernel and Range for Linear Transformation L(p(x)) = xp'(x) in P3

    Hi, does anyone know how to figure out the kernal and range for this linear transformation from P3 into P3 : L(p(x)) = xp'(x)? I thought ker(L)= {0} and range is P3. But the correct answer is ker (L) = P1, L(P3) = Span (x^2, x). Can someone explain to me how exactly do we fine the kernel and...
  10. O

    SoulWhat is the fundamental model of CIS according to Complementary Logic?

    This thread is my point of view on us as Self-Award-Complex-Systems (SACS), which are part of their universe, therefore active participators in it. I think that one of the most important properties of SACS is their ability to associate between opposite things in non-destructive ways. The...
  11. D

    Has Linux Kernel Module Support Improved in Recent Years?

    [SOLVED] Linux kernel module support How is it these days? IMO this is one of major areas where Linux used to lag behind Windows. Loading/unloading modules during runtime was not always reliable and sort of a pain... has it been improved in the last year or two?
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