Elemenként

Elemenként is a Hungarian adverb meaning per element or on a per-element basis. It is used in mathematics, computing, and data analysis to describe operations that are applied independently to each element of an array, vector, or matrix. In this sense, elemenként refers to element-wise processing, as opposed to operations that combine elements across dimensions, such as matrix products.

Element-wise operations take corresponding elements from inputs and produce a result for each position. For example, given two vectors A = [1, 2, 3] and B = [4, 5, 6], the element-wise sum is [5, 7, 9]. A unary element-wise function applied to A, such as the exponential function, yields exp(A) = [exp(1), exp(2), exp(3)].

In programming and data science, element-wise processing is central to vectorization. Many languages perform such operations by default on arrays or require explicit operators for element-wise multiplication, power, or comparison. This approach contrasts with matrix multiplication, which combines elements across rows and columns rather than by position.

In Hungarian usage, elemenkénti is the adjectival form used to describe per-element variations or operations (e.g., elemenkénti szorzás, elemenkénti összeadás). The term is widely used in textbooks, documentation, and discussions of numerical methods and data analysis.