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Laplace–Carson transform

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refers to the imaginary axis, which indicates the integral is carried out along a straight line parallel to the imaginary axis lying to the right of all the singularities of the following expression:
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variable. The Laplace–Carson transform is defined as:
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Vibration of solids and structures under moving loads
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may be too technical for most readers to understand
808: 748: 725: 695: 532: 421: 397: 358:and engineering, particularly in the field of 354:with significant applications in the field of 909: 8: 257:introducing citations to additional sources 61:Learn how and when to remove these messages 916: 902: 809:{\displaystyle e^{tp}{\frac {V(j,t)}{p}}} 779: 770: 764: 738: 717: 711: 686: 659: 652: 643: 622: 617: 601: 596: 574: 551: 543:The inverse Laplace–Carson transform is: 523: 511: 483: 478: 447: 441: 414: 375: 326:Learn how and when to remove this message 213:Learn how and when to remove this message 111:Learn how and when to remove this message 95:, without removing the technical details. 247:Relevant discussion may be found on the 837: 93:make it understandable to non-experts 7: 870: 868: 151:adding citations to reliable sources 888:. You can help Knowledge (XXG) by 743: 634: 613: 484: 25: 42:This article has multiple issues. 872: 240:relies largely or entirely on a 229: 127: 72: 31: 138:needs additional citations for 50:or discuss these issues on the 797: 785: 677: 665: 568: 556: 504: 492: 465: 453: 392: 380: 1: 955:Mathematical analysis stubs 733:is a real-valued constant, 971: 867: 268:"Laplace–Carson transform" 162:"Laplace–Carson transform" 845:Frýba, Ladislav (1973). 749:{\displaystyle i\infty } 340:Laplace–Carson transform 18:Laplace-Carson transform 940:Differential equations 884:–related article is a 810: 750: 727: 697: 534: 423: 399: 398:{\displaystyle V(j,t)} 882:mathematical analysis 811: 751: 728: 726:{\displaystyle a_{0}} 698: 535: 424: 400: 763: 737: 710: 550: 440: 413: 374: 344:Pierre Simon Laplace 338:In mathematics, the 253:improve this article 147:improve this article 935:Integral transforms 638: 488: 360:railway engineering 348:John Renshaw Carson 806: 746: 723: 693: 592: 530: 474: 419: 395: 352:integral transform 897: 896: 826:Laplace transform 804: 684: 590: 422:{\displaystyle p} 336: 335: 328: 318: 317: 303: 223: 222: 215: 197: 121: 120: 113: 65: 16:(Redirected from 962: 945:Fourier analysis 918: 911: 904: 876: 869: 859: 858: 842: 815: 813: 812: 807: 805: 800: 780: 778: 777: 755: 753: 752: 747: 732: 730: 729: 724: 722: 721: 702: 700: 699: 694: 685: 680: 664: 663: 653: 651: 650: 637: 627: 626: 616: 606: 605: 591: 589: 575: 539: 537: 536: 531: 522: 521: 487: 482: 452: 451: 428: 426: 425: 420: 404: 402: 401: 396: 331: 324: 313: 310: 304: 302: 261: 233: 225: 218: 211: 207: 204: 198: 196: 155: 131: 123: 116: 109: 105: 102: 96: 76: 75: 68: 57: 35: 34: 27: 21: 970: 969: 965: 964: 963: 961: 960: 959: 925: 924: 923: 922: 865: 863: 862: 844: 843: 839: 834: 822: 781: 766: 761: 760: 735: 734: 713: 708: 707: 655: 654: 639: 618: 597: 579: 548: 547: 507: 443: 438: 437: 411: 410: 372: 371: 368: 332: 321: 320: 319: 314: 308: 305: 262: 260: 246: 234: 219: 208: 202: 199: 156: 154: 144: 132: 117: 106: 100: 97: 89:help improve it 86: 77: 73: 36: 32: 23: 22: 15: 12: 11: 5: 968: 966: 958: 957: 952: 947: 942: 937: 927: 926: 921: 920: 913: 906: 898: 895: 894: 877: 861: 860: 836: 835: 833: 830: 829: 828: 821: 818: 817: 816: 803: 799: 796: 793: 790: 787: 784: 776: 773: 769: 745: 742: 720: 716: 704: 703: 692: 689: 683: 679: 676: 673: 670: 667: 662: 658: 649: 646: 642: 636: 633: 630: 625: 621: 615: 612: 609: 604: 600: 595: 588: 585: 582: 578: 573: 570: 567: 564: 561: 558: 555: 541: 540: 529: 526: 520: 517: 514: 510: 506: 503: 500: 497: 494: 491: 486: 481: 477: 473: 470: 467: 464: 461: 458: 455: 450: 446: 418: 394: 391: 388: 385: 382: 379: 367: 364: 342:, named after 334: 333: 316: 315: 251:. 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