A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα v
... functions of the roots of equations The equation of differences Limits of the roots of equations 3 ib . 7 8 10 ib . 11 13 14 17 22 ib . 28 36 38 · 40 43 44 • 47 · 48 41 . Commensurable roots 50 42 . Incommensurable roots 51 • 43 ...
... functions of the roots of equations The equation of differences Limits of the roots of equations 3 ib . 7 8 10 ib . 11 13 14 17 22 ib . 28 36 38 · 40 43 44 • 47 · 48 41 . Commensurable roots 50 42 . Incommensurable roots 51 • 43 ...
Σελίδα viii
... functions Differentiation of exponential functions • · Differentiation of functions of superior orders Development of functions . Implicit functions . 1 . 2 . 3-6 . Successive differentiation 7 . 8-10 . 11 . 12 . 13 . 14 , 15 . 16 ...
... functions Differentiation of exponential functions • · Differentiation of functions of superior orders Development of functions . Implicit functions . 1 . 2 . 3-6 . Successive differentiation 7 . 8-10 . 11 . 12 . 13 . 14 , 15 . 16 ...
Σελίδα ix
... Direct method of differences . 1 . 2 , 3 . 4 . Fundamental formulæ Successive differences Series involving the differences and differential coefficients 292 ib . 294 b ART . PAGE 5 . Differences of functions of two CONTENTS . ix.
... Direct method of differences . 1 . 2 , 3 . 4 . Fundamental formulæ Successive differences Series involving the differences and differential coefficients 292 ib . 294 b ART . PAGE 5 . Differences of functions of two CONTENTS . ix.
Σελίδα x
... functions The numbers of BERNOULLI Integration of exponential functions . Successive integration Equations of differences 19-20 . 21 . 22 . 23 , 24 . 25-32 . 33 , 34 . 35-39 . 40-42 . Theory of generating functions FUNCTIONAL EQUATIONS ...
... functions The numbers of BERNOULLI Integration of exponential functions . Successive integration Equations of differences 19-20 . 21 . 22 . 23 , 24 . 25-32 . 33 , 34 . 35-39 . 40-42 . Theory of generating functions FUNCTIONAL EQUATIONS ...
Σελίδα xii
... functions ... V1 Ca drs = s .... do : u insert , if u = 0 , ..... not read a , b , xn .... .... constants v , C2Y ... ... ... ... rp ( p2 — p2 ) ( So = B S { dy u .... .... .... dess dir up ( u2 - p2 ) ( So = B Sx { dņu .
... functions ... V1 Ca drs = s .... do : u insert , if u = 0 , ..... not read a , b , xn .... .... constants v , C2Y ... ... ... ... rp ( p2 — p2 ) ( So = B S { dy u .... .... .... dess dir up ( u2 - p2 ) ( So = B Sx { dņu .
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Άλλες εκδόσεις - Προβολή όλων
A Synopsis of the Principal Formulae and Results of Pure Mathematics ... Charles Brooke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Synopsis of the Principal Formulae and Results of Pure Mathematics Charles Brooke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a-log a.sin a₁ a² a² angle arcs Assume ax² axis ay² B.cos B.sin b₁ Biot Bour c₁ centre circle co-ordinates conjugate diameters const continued fraction converging fraction cosec cosine curve cx² determined differential coefficients e₁ ellipse formula functions G. G. A. Ch given equation hyperbola integral intersection Let the equation log Cot log Sin log Sin Blog logarithmic m₁ method modulus negative obtained parabola perpendicular plane possible root prime number primitive equation quadratic divisor quadratic equation quotients R₁ radius reduced remainders sin x sine solution square straight line substituting subtangent Suppose surface tana tangent ternary divisor ternary form theorem triangle u₁ unknown quantities values vers x₁ y-y₁ y₁ απ
Δημοφιλή αποσπάσματα
Σελίδα 112 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Σελίδα 4 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 4 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Σελίδα 347 - Si, the formula assigned by Thomson to the mineral from Ireland, named " Anhydrous silicate of iron." Now, this slag had evidently been in a position favourable to the absorption of oxygen, namely, the...
Σελίδα 4 - To reduce a fraction to its lowest terms, divide both the numerator and denominator by their greatest common divisor.
Σελίδα 4 - The same quantity may be added to, or subtracted from, both sides of an equation. To...
Σελίδα 343 - The immutability, no less than the symmetry of its notation, (which should ever be guarded with a jealousy commensurate to its vital importance,) facilitates the translation of an expression into common language at any stage of an operation, - disburdens the memory of all the load of the previous steps, - and at the same time, affords it a considerable assistance in retaining the results.
Σελίδα 46 - These criteria were derived by a new transformation, namely the one which yields an equation whose roots are the squares of the differences of the roots of the given...
Σελίδα 161 - Straight line and circle. A straight line cannot cut a circle in more than two points. In fact, an unlimited straight line may (i) cut a circle in two points, eg AB or CD in fig.
Σελίδα 2 - Tiie square root of a quantity cannot be partly rational and partly a quadratic surd. If possible, let...