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Tracing in software engineering refers to the process of capturing and recording information about the execution of a software program. This information is typically used by programmers for debugging purposes, and additionally, depending on the type and detail of information contained in a trace log, by experienced system administrators or technical-support personnel and by software monitoring ...
Trace (linear algebra) In linear algebra, the trace of a square matrix A, denoted tr (A), [1] is defined to be the sum of elements on the main diagonal (from the upper left to the lower right) of A. The trace is only defined for a square matrix ( n × n ). It can be proven that the trace of a matrix is the sum of its eigenvalues (counted with ...
eTrace. eTrace is an Internet-based firearm trace request submission system, developed by the United States' federal government, Bureau of Alcohol, Tobacco, Firearms and Explosives, that provides for the electronic exchange of traced firearm data in a secure internet-based environment. Participating law enforcement agencies (domestic and ...
Definition. The exponential of a matrix A is defined by =!. Given a matrix B, another matrix A is said to be a matrix logarithm of B if e A = B.. Because the exponential function is not bijective for complex numbers (e.g. = =), numbers can have multiple complex logarithms, and as a consequence of this, some matrices may have more than one logarithm, as explained below.
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A trace, also called a dynamic instruction sequence, is an entry in the trace cache. It can be characterized by maximum number of instructions and maximum basic blocks. Traces can start at any dynamic instruction. Multiple traces can have same starting instruction i.e., same starting program counter (PC) and instructions from different basic ...
Stack trace. In computing, a stack trace (also called stack backtrace [1] or stack traceback [2]) is a report of the active stack frames at a certain point in time during the execution of a program. When a program is run, memory is often dynamically allocated in two places: the stack and the heap. Memory is continuously allocated on a stack but ...
Jacobi's formula. In matrix calculus, Jacobi's formula expresses the derivative of the determinant of a matrix A in terms of the adjugate of A and the derivative of A. [1] If A is a differentiable map from the real numbers to n × n matrices, then. where tr (X) is the trace of the matrix X. (The latter equality only holds if A ( t) is invertible .)