Engineering Mathematics: A Series of Lectures Delivered at Union College Formula Map
Formula Map
Section titled “Formula Map”Review layer: these are OCR/PDF-text formula candidates. Promote only after scan verification, mathematical transcription, and notation review.
300
Formula and equation candidates.
144
Strong formula candidates.
110
Reviewable relation candidates.
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Formula Families
Section titled “Formula Families”| Family | Candidates |
|---|---|
| Engineering Mathematics Foundations | 300 |
Highest-Priority Candidates
Section titled “Highest-Priority Candidates”| Candidate | Family | OCR/PDF text | Routes |
|---|---|---|---|
engineering-mathematics-eq-candidate-0273strong-formula-candidate | engineering-math | Let A = a(cos a+j sin a) be divided by J5 = 6(cos ,5+y sin /5), | source workbench |
engineering-mathematics-eq-candidate-0286strong-formula-candidate | engineering-math | If, A=ai +ja2 = a (cos a+j sin a), then | source workbench |
engineering-mathematics-eq-candidate-0150strong-formula-candidate | engineering-math | and ai + ja2 = a (cos 6 + j sin d) ; | source workbench |
engineering-mathematics-eq-candidate-0151strong-formula-candidate | engineering-math | or ai -\-ja2 = A(cos 0+j sin 6). | source workbench |
engineering-mathematics-eq-candidate-0157strong-formula-candidate | engineering-math | and A ==5 (cos 37 deg. H-j sin 37 deg). | source workbench |
engineering-mathematics-eq-candidate-0252strong-formula-candidate | engineering-math | C = AB = ah (cos a+j sin a) (cos /?+ / sin /5) | source workbench |
engineering-mathematics-eq-candidate-0279strong-formula-candidate | engineering-math | A = ai +ja2 = a(cos a+j sin a), | source workbench |
engineering-mathematics-eq-candidate-0127strong-formula-candidate | engineering-math | 20. If ai+y6i=6+2.5 J is represented by the point Pi; | source workbench |
engineering-mathematics-eq-candidate-0129strong-formula-candidate | engineering-math | and the vertical distance 6i=2.5. If a2+jb2 = S+4:j is repre- | source workbench |
engineering-mathematics-eq-candidate-0070strong-formula-candidate | engineering-math | Pi: a:=+3, y= +2 P2: x= +S y= -2, | source workbench |
engineering-mathematics-eq-candidate-0072strong-formula-candidate | engineering-math | • Pi=3+2/ P2 = 3-2/ P3=-3+2/ P4=-3-2y | source workbench |
engineering-mathematics-eq-candidate-0079strong-formula-candidate | engineering-math | Pi = - -^a, P2 = - 7— a, | source workbench |
engineering-mathematics-eq-candidate-0080strong-formula-candidate | engineering-math | V +l=cos qX + 7 sm qX - , | source workbench |
engineering-mathematics-eq-candidate-0094strong-formula-candidate | engineering-math | cos x+y sin X = ~1, | source workbench |
engineering-mathematics-eq-candidate-0100strong-formula-candidate | engineering-math | a+y6 = 3 4-2?s, the point P2, 90 deg. away from Pi, would | source workbench |
engineering-mathematics-eq-candidate-0101strong-formula-candidate | engineering-math | P2 = jPi-Ka+jb)=j(3-V2j)= -2+3/, | source workbench |
engineering-mathematics-eq-candidate-0132strong-formula-candidate | engineering-math | izontal distances of Pi and P2: ao = ai+a2 = 6+3 = 9, and a | source workbench |
engineering-mathematics-eq-candidate-0134strong-formula-candidate | engineering-math | ao +jho = {ai +a2) +j(bi +62) | source workbench |
engineering-mathematics-eq-candidate-0141strong-formula-candidate | engineering-math | a2 +jb2 = (ao -di) +j(bo -61) | source workbench |
engineering-mathematics-eq-candidate-0146strong-formula-candidate | engineering-math | ^ = a(cos 0 +j sin d), | source workbench |
engineering-mathematics-eq-candidate-0174strong-formula-candidate | engineering-math | but since ai=a cos 6 is negative, -4, cos 6 must be negative, | source workbench |
engineering-mathematics-eq-candidate-0176strong-formula-candidate | engineering-math | 4 = 5 (cos 217 deg. +j sin 217 deg.) | source workbench |
engineering-mathematics-eq-candidate-0177strong-formula-candidate | engineering-math | = 5( - cos 37 deg. -j sin 37 deg.) | source workbench |
engineering-mathematics-eq-candidate-0187strong-formula-candidate | engineering-math | ^0 = So (cos do +j sin ^0) | source workbench |
engineering-mathematics-eq-candidate-0193strong-formula-candidate | engineering-math | isi,n 6i=j^ = 0A50, as ^i = 24.3deg. | source workbench |
engineering-mathematics-eq-candidate-0199strong-formula-candidate | engineering-math | ♦^2 = S2(cos d2 +j sin dz) | source workbench |
engineering-mathematics-eq-candidate-0214strong-formula-candidate | engineering-math | /S4 = 1105 (cos 30 deg. +y sin 30 deg.) | source workbench |
engineering-mathematics-eq-candidate-0226strong-formula-candidate | engineering-math | S6 = sq{cos Oq +/ sin Oq) | source workbench |
engineering-mathematics-eq-candidate-0238strong-formula-candidate | engineering-math | AB = {aihi -a2?>2) +j{aih2 +^2*^1), | source workbench |
engineering-mathematics-eq-candidate-0242strong-formula-candidate | engineering-math | For instance, A=2+j multiplied by B=^l+1.5 j gives | source workbench |