. . . . "\u6C83\u5C14\u4EC0\u77E9\u9635"@zh . . . . "Matrice di Walsh"@it . . . . . . . "In mathematics, a Walsh matrix is a specific square matrix of dimensions 2n, where n is some particular natural number. The entries of the matrix are either +1 or \u22121 and its rows as well as columns are orthogonal, i.e. dot product is zero. The Walsh matrix was proposed by Joseph L. Walsh in 1923. Each row of a Walsh matrix corresponds to a Walsh function. The Walsh matrices are a special case of Hadamard matrices. The naturally ordered Hadamard matrix is defined by the recursive formula below, and the sequency-ordered Hadamard matrix is formed by rearranging the rows so that the number of sign changes in a row is in increasing order. Confusingly, different sources refer to either matrix as the Walsh matrix. The Walsh matrix (and Walsh functions) are used in computing the Walsh transform and have applications in the efficient implementation of certain signal processing operations."@en . . "In matematica, una matrice di Walsh \u00E8 una matrice quadrata, avente come numero delle righe e delle colonne una potenza di , con i valori possibili degli elementi della matrice limitati a e , tale che il prodotto scalare fra due righe distinte (o fra due colonne distinte) sia zero. La matrice di Walsh e la sono usate per calcolare la e hanno applicazioni nelle implementazioni efficienti di alcune operazioni che servono al processo dei segnali."@it . . . . . . "In matematica, una matrice di Walsh \u00E8 una matrice quadrata, avente come numero delle righe e delle colonne una potenza di , con i valori possibili degli elementi della matrice limitati a e , tale che il prodotto scalare fra due righe distinte (o fra due colonne distinte) sia zero. La matrice di Walsh pu\u00F2 essere ottenuta a partire da una matrice di Hadamard ordinata naturalmente mediante la formula ricorsiva sotto riportata. Nella matrice di Hadamard ordinata sequenzialmente si risistemano le righe in modo che il numero dei cambiamenti di segno sia in ordine crescente. Ogni riga di una matrice di Walsh \u00E8 associata a una . La matrice di Walsh e la sono usate per calcolare la e hanno applicazioni nelle implementazioni efficienti di alcune operazioni che servono al processo dei segnali."@it . . . . . . . "\u6C83\u5C14\u4EC0\u77E9\u9635\uFF08\u82F1\u8A9E\uFF1AWalsh matrix\uFF09\u662F\u4E00\u4E2A\u7EF4\u5EA6\u4E3A\u7684\u65B9\u9635\uFF0C\u5176\u4E2Dn\u4E3A\u81EA\u7136\u6570\u3002\u8BE5\u77E9\u9635\u7531-1\u548C1\u7EC4\u6210\uFF0C\u5176\u6240\u6709\u7684\u884C\u4E0E\u5217\u90FD\u4E24\u4E24\u6B63\u4EA4\uFF0C\u5373\u70B9\u79EF\u4E3A0\u3002\u8FD9\u4E00\u6982\u5FF5\u7531\u7F8E\u56FD\u6570\u5B66\u5BB6\u4E8E1923\u5E74\u63D0\u51FA\uFF0C\u6545\u800C\u5F97\u540D\u3002\u5728\u6C83\u5C14\u4EC0\u77E9\u9635\u4E2D\uFF0C\u6BCF\u4E00\u884C\u90FD\u548C\u4E00\u4E2A\u6C83\u5C14\u4EC0\u51FD\u6570\u76F8\u5BF9\u5E94\u3002 \u6C83\u5C14\u4EC0\u77E9\u9635\u53EF\u89C6\u4E3A\u963F\u8FBE\u9A6C\u77E9\u9635\u7684\u4E00\u4E2A\u7279\u4F8B\uFF0C\u81EA\u7136\u6709\u5E8F\u7684\u963F\u8FBE\u9A6C\u77E9\u9635\u662F\u7531\u9012\u5F52\u516C\u5F0F\u5B9A\u4E49\u7684\uFF0C\u5E8F\u5217\u6709\u5E8F\u7684\u963F\u8FBE\u9A6C\u77E9\u9635\u662F\u901A\u8FC7\u91CD\u65B0\u6392\u5217\u884C\u6765\u5F62\u6210\u7684\uFF0C\u8FD9\u6837\u4E00\u884C\u4E2D\u7684\u7B26\u53F7\u53D8\u5316\u6570\u5C31\u662F\u9012\u589E\u7684\u3002 \u6C83\u5C14\u4EC0\u77E9\u9635\u7528\u4E8E\u8BA1\u7B97\u6C83\u5C14\u4EC0\u53D8\u6362\uFF0C\u5728\u4FE1\u53F7\u5904\u7406\u64CD\u4F5C\u4E2D\u7684\u6709\u5B9E\u9645\u5E94\u7528\u3002"@zh . . . . . . . "1291534"^^ . . . . . . . "6202"^^ . . . "In mathematics, a Walsh matrix is a specific square matrix of dimensions 2n, where n is some particular natural number. The entries of the matrix are either +1 or \u22121 and its rows as well as columns are orthogonal, i.e. dot product is zero. The Walsh matrix was proposed by Joseph L. Walsh in 1923. Each row of a Walsh matrix corresponds to a Walsh function. The Walsh matrix (and Walsh functions) are used in computing the Walsh transform and have applications in the efficient implementation of certain signal processing operations."@en . "1092176407"^^ . . . . "Walsh matrix"@en . . . . "\u6C83\u5C14\u4EC0\u77E9\u9635\uFF08\u82F1\u8A9E\uFF1AWalsh matrix\uFF09\u662F\u4E00\u4E2A\u7EF4\u5EA6\u4E3A\u7684\u65B9\u9635\uFF0C\u5176\u4E2Dn\u4E3A\u81EA\u7136\u6570\u3002\u8BE5\u77E9\u9635\u7531-1\u548C1\u7EC4\u6210\uFF0C\u5176\u6240\u6709\u7684\u884C\u4E0E\u5217\u90FD\u4E24\u4E24\u6B63\u4EA4\uFF0C\u5373\u70B9\u79EF\u4E3A0\u3002\u8FD9\u4E00\u6982\u5FF5\u7531\u7F8E\u56FD\u6570\u5B66\u5BB6\u4E8E1923\u5E74\u63D0\u51FA\uFF0C\u6545\u800C\u5F97\u540D\u3002\u5728\u6C83\u5C14\u4EC0\u77E9\u9635\u4E2D\uFF0C\u6BCF\u4E00\u884C\u90FD\u548C\u4E00\u4E2A\u6C83\u5C14\u4EC0\u51FD\u6570\u76F8\u5BF9\u5E94\u3002 \u6C83\u5C14\u4EC0\u77E9\u9635\u53EF\u89C6\u4E3A\u963F\u8FBE\u9A6C\u77E9\u9635\u7684\u4E00\u4E2A\u7279\u4F8B\uFF0C\u81EA\u7136\u6709\u5E8F\u7684\u963F\u8FBE\u9A6C\u77E9\u9635\u662F\u7531\u9012\u5F52\u516C\u5F0F\u5B9A\u4E49\u7684\uFF0C\u5E8F\u5217\u6709\u5E8F\u7684\u963F\u8FBE\u9A6C\u77E9\u9635\u662F\u901A\u8FC7\u91CD\u65B0\u6392\u5217\u884C\u6765\u5F62\u6210\u7684\uFF0C\u8FD9\u6837\u4E00\u884C\u4E2D\u7684\u7B26\u53F7\u53D8\u5316\u6570\u5C31\u662F\u9012\u589E\u7684\u3002 \u6C83\u5C14\u4EC0\u77E9\u9635\u7528\u4E8E\u8BA1\u7B97\u6C83\u5C14\u4EC0\u53D8\u6362\uFF0C\u5728\u4FE1\u53F7\u5904\u7406\u64CD\u4F5C\u4E2D\u7684\u6709\u5B9E\u9645\u5E94\u7528\u3002"@zh . . . . . . . . . . . . . .