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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
797: 737: 714: 684: 521: 410: 386: 347:and engineering, particularly in the field of 343:with significant applications in the field of 898: 8: 246:introducing citations to additional sources 50:Learn how and when to remove these messages 905: 891: 798:{\displaystyle e^{tp}{\frac {V(j,t)}{p}}} 768: 759: 753: 727: 706: 700: 675: 648: 641: 632: 611: 606: 590: 585: 563: 540: 532:The inverse Laplace–Carson transform is: 512: 500: 472: 467: 436: 430: 403: 364: 315:Learn how and when to remove this message 202:Learn how and when to remove this message 100:Learn how and when to remove this message 84:, without removing the technical details. 236:Relevant discussion may be found on the 826: 82:make it understandable to non-experts 7: 859: 857: 140:adding citations to reliable sources 732: 623: 602: 473: 14: 31:This article has multiple issues. 861: 229:relies largely or entirely on a 218: 116: 61: 20: 127:needs additional citations for 39:or discuss these issues on the 786: 774: 666: 654: 557: 545: 493: 481: 454: 442: 381: 369: 1: 877:. You can help Knowledge by 944:Mathematical analysis stubs 722:is a real-valued constant, 960: 856: 257:"Laplace–Carson transform" 151:"Laplace–Carson transform" 834:Frýba, Ladislav (1973). 738:{\displaystyle i\infty } 329:Laplace–Carson transform 929:Differential equations 873:–related article is a 799: 739: 716: 686: 523: 412: 388: 387:{\displaystyle V(j,t)} 871:mathematical analysis 800: 740: 717: 715:{\displaystyle a_{0}} 687: 524: 413: 389: 752: 726: 699: 539: 429: 402: 363: 333:Pierre Simon Laplace 327:In mathematics, the 242:improve this article 136:improve this article 924:Integral transforms 627: 477: 349:railway engineering 337:John Renshaw Carson 795: 735: 712: 682: 581: 519: 463: 408: 384: 341:integral transform 886: 885: 815:Laplace transform 793: 673: 579: 411:{\displaystyle p} 325: 324: 317: 307: 306: 292: 212: 211: 204: 186: 110: 109: 102: 54: 951: 934:Fourier analysis 907: 900: 893: 865: 858: 848: 847: 831: 804: 802: 801: 796: 794: 789: 769: 767: 766: 744: 742: 741: 736: 721: 719: 718: 713: 711: 710: 691: 689: 688: 683: 674: 669: 653: 652: 642: 640: 639: 626: 616: 615: 605: 595: 594: 580: 578: 564: 528: 526: 525: 520: 511: 510: 476: 471: 441: 440: 417: 415: 414: 409: 393: 391: 390: 385: 320: 313: 302: 299: 293: 291: 250: 222: 214: 207: 200: 196: 193: 187: 185: 144: 120: 112: 105: 98: 94: 91: 85: 65: 64: 57: 46: 24: 23: 16: 959: 958: 954: 953: 952: 950: 949: 948: 914: 913: 912: 911: 854: 852: 851: 833: 832: 828: 823: 811: 770: 755: 750: 749: 724: 723: 702: 697: 696: 644: 643: 628: 607: 586: 568: 537: 536: 496: 432: 427: 426: 400: 399: 361: 360: 357: 321: 310: 309: 308: 303: 297: 294: 251: 249: 235: 223: 208: 197: 191: 188: 145: 143: 133: 121: 106: 95: 89: 86: 78:help improve it 75: 66: 62: 25: 21: 12: 11: 5: 957: 955: 947: 946: 941: 936: 931: 926: 916: 915: 910: 909: 902: 895: 887: 884: 883: 866: 850: 849: 825: 824: 822: 819: 818: 817: 810: 807: 806: 805: 792: 788: 785: 782: 779: 776: 773: 765: 762: 758: 734: 731: 709: 705: 693: 692: 681: 678: 672: 668: 665: 662: 659: 656: 651: 647: 638: 635: 631: 625: 622: 619: 614: 610: 604: 601: 598: 593: 589: 584: 577: 574: 571: 567: 562: 559: 556: 553: 550: 547: 544: 530: 529: 518: 515: 509: 506: 503: 499: 495: 492: 489: 486: 483: 480: 475: 470: 466: 462: 459: 456: 453: 450: 447: 444: 439: 435: 407: 383: 380: 377: 374: 371: 368: 356: 353: 331:, named after 323: 322: 305: 304: 240:. 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Pierre Simon Laplace

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