標(biāo)題: Titlebook: Cauchy‘s Calcul Infinitésimal; An Annotated English Dennis M. Cates Book 2019 Springer Nature Switzerland AG 2019 Cauchy.Calculus.Infinites [打印本頁] 作者: Remodeling 時間: 2025-3-21 16:35
書目名稱Cauchy‘s Calcul Infinitésimal影響因子(影響力)
作者: oncologist 時間: 2025-3-21 22:47
THE DIFFERENTIAL OF THE SUM OF SEVERAL FUNCTIONS IS THE SUM OF THEIR DIFFERENTIALS. CONSEQUENCES OF o the study that we have made to this subject. Let . always be the independent variable and . an infinitely small increment attributed to this variable. If we denote by . . several functions of .,? and by . . the simultaneous increments that they receive while we allow . to grow by . the differentia作者: organism 時間: 2025-3-22 01:46
USE OF PARTIAL DERIVATIVES IN THE DIFFERENTIATION OF COMPOSED FUNCTIONS. DIFFERENTIALS OF IMPLICIT Ftter variables; and, if we designate by . . . . the arbitrary simultaneous increments attributed to . the corresponding increments . of the functions . will be related among themselves by the formula .Moreover, let .be the partial derivatives of the function . taken successively with respect to . .,作者: motivate 時間: 2025-3-22 07:05 作者: 臆斷 時間: 2025-3-22 11:32 作者: chassis 時間: 2025-3-22 13:04 作者: chassis 時間: 2025-3-22 20:49 作者: curettage 時間: 2025-3-22 23:26
METHODS THAT WORK TO SIMPLIFY THE STUDY OF TOTAL DIFFERENTIALS FOR FUNCTIONS OF SEVERAL INDEPENDENT e make, as in the eighth lecture, .then, differentiate the two members of equation (.) with respect to the variable . we will find.If, in this last formula, we set . we will obtain the following .which is in accordance with equation (16) of the eighth lecture.作者: 鋸齒狀 時間: 2025-3-23 05:08 作者: 潰爛 時間: 2025-3-23 06:18 作者: 旅行路線 時間: 2025-3-23 11:00
CONDITIONS WHICH MUST BE FULFILLED FOR A TOTAL DIFFERENTIAL TO NOT CHANGE SIGN WHILE WE CHANGE THE V variables which render one of the functions . discontinuous, the function . can only become a maximum or a minimum in the case where one of the total differentials . . . . namely, the first of these that will not be constantly null, will maintain the same sign for all possible values of the arbitra作者: Perineum 時間: 2025-3-23 15:01 作者: 昆蟲 時間: 2025-3-23 21:52
DIFFERENTIALS OF VARIOUS ORDERS FOR FUNCTIONS OF SEVERAL VARIABLES.will generate the partial differentials . that we denote by the notations . In general, if . is any integer number, the total differential of order . will be represented by . and the differential of the same order relative to only one of the variables . .,? .,? . by . If we differentiate twice or se作者: mutineer 時間: 2025-3-23 23:36
Book 2019 his rigorous development to include functions of multiple variables as well as?complex functions..This translation maintains the same notation and terminology of Cauchy‘s original work in the?hope of delivering as honest and true a Cauchy experience as possible so that the modern reader?can experie作者: Wordlist 時間: 2025-3-24 02:49 作者: Diuretic 時間: 2025-3-24 09:09
OF CONTINUOUS AND DISCONTINUOUS FUNCTIONS. GEOMETRIC REPRESENTATION OF CONTINUOUS FUNCTIONS.s, we usually consider these various quantities expressed by means of one among them, which then takes the name of the .; and the other quantities, expressed by means of the independent variable, are what we call . of this variable.作者: CRUDE 時間: 2025-3-24 10:47
USE OF PARTIAL DERIVATIVES IN THE DIFFERENTIATION OF COMPOSED FUNCTIONS. DIFFERENTIALS OF IMPLICIT Ftter variables; and, if we designate by . . . . the arbitrary simultaneous increments attributed to . the corresponding increments . of the functions . will be related among themselves by the formula .Moreover, let .be the partial derivatives of the function . taken successively with respect to . .,? .,? 作者: 谷物 時間: 2025-3-24 16:02 作者: 不要不誠實 時間: 2025-3-24 22:51
DIFFERENTIALS AND DERIVATIVES OF VARIOUS ORDERS FOR FUNCTIONS OF A SINGLE VARIABLE. CHANGE OF THE IN can deduce in general a multitude of new functions, each of which will be the derivative of the previous one. These new functions are what we name the . of . or . and we indicate them with the help of the notations.作者: 颶風(fēng) 時間: 2025-3-24 23:51
METHODS THAT WORK TO SIMPLIFY THE STUDY OF TOTAL DIFFERENTIALS FOR FUNCTIONS OF SEVERAL INDEPENDENT e make, as in the eighth lecture, .then, differentiate the two members of equation (.) with respect to the variable . we will find.If, in this last formula, we set . we will obtain the following .which is in accordance with equation (16) of the eighth lecture.作者: Conflict 時間: 2025-3-25 04:28
RELATIONSHIPS WHICH EXIST BETWEEN FUNCTIONS OF A SINGLE VARIABLE AND THEIR DERIVATIVES OR DIFFERENTIrivatives, up to that of order .,? are continuous in the vicinity of the particular value in question, and that the continuity remains valid for each of them between the two limits . Equation?(.) of the seventh lecture will become ..作者: Confirm 時間: 2025-3-25 09:25 作者: 和平主義者 時間: 2025-3-25 15:23
http://image.papertrans.cn/c/image/222609.jpg作者: 確認(rèn) 時間: 2025-3-25 16:55 作者: Cloudburst 時間: 2025-3-25 21:44
Springer Nature Switzerland AG 2019作者: cylinder 時間: 2025-3-26 04:02 作者: 針葉 時間: 2025-3-26 04:35 作者: 縫紉 時間: 2025-3-26 09:18
Brigitte Lengersdorf,Mandy Strzodkaiginal value of the function multiplied by a power of this ratio. The exponent of this power is the .. By consequence, . will be a homogeneous function of . and of degree .,? if, . denoting a new variable, we have regardless of .,?. ..作者: 失敗主義者 時間: 2025-3-26 15:12 作者: 比喻好 時間: 2025-3-26 18:43 作者: micronutrients 時間: 2025-3-26 21:10 作者: 憤怒歷史 時間: 2025-3-27 02:00 作者: 驚呼 時間: 2025-3-27 06:57
Otto Sterns gesammelte Briefe – Band 1o the study that we have made to this subject. Let . always be the independent variable and . an infinitely small increment attributed to this variable. If we denote by . . several functions of .,? and by . . the simultaneous increments that they receive while we allow . to grow by . the differentia作者: AUGUR 時間: 2025-3-27 10:52
Brigitte Lengersdorf,Mandy Strzodkatter variables; and, if we designate by . . . . the arbitrary simultaneous increments attributed to . the corresponding increments . of the functions . will be related among themselves by the formula .Moreover, let .be the partial derivatives of the function . taken successively with respect to . .,作者: vanquish 時間: 2025-3-27 16:24
Brigitte Lengersdorf,Mandy Strzodkaiginal value of the function multiplied by a power of this ratio. The exponent of this power is the .. By consequence, . will be a homogeneous function of . and of degree .,? if, . denoting a new variable, we have regardless of .,?. ..作者: 發(fā)誓放棄 時間: 2025-3-27 18:38
Margret Liehn,Jens K?pcke,Leonid Kasakoverent variables with the help of the formulas in (.). After this elimination, the variables which remain, to number . should be considered as independent; and, the systems of values of these variables should be sought which render the function . or the function . discontinuous, as well as those whic作者: 得罪人 時間: 2025-3-27 23:04 作者: febrile 時間: 2025-3-28 02:34 作者: 抗原 時間: 2025-3-28 07:29
,Osteochondrale L?sion des Talus,e make, as in the eighth lecture, .then, differentiate the two members of equation (.) with respect to the variable . we will find.If, in this last formula, we set . we will obtain the following .which is in accordance with equation (16) of the eighth lecture.作者: Aggrandize 時間: 2025-3-28 12:58
,Osteochondrale L?sion des Talus,rivatives, up to that of order .,? are continuous in the vicinity of the particular value in question, and that the continuity remains valid for each of them between the two limits . Equation?(.) of the seventh lecture will become ..作者: abject 時間: 2025-3-28 14:53 作者: Conflagration 時間: 2025-3-28 19:06
Professor in Aachen (1905–1910) variables which render one of the functions . discontinuous, the function . can only become a maximum or a minimum in the case where one of the total differentials . . . . namely, the first of these that will not be constantly null, will maintain the same sign for all possible values of the arbitra作者: Minuet 時間: 2025-3-28 23:04
Bindegewebe, Knochen und Gelenke,We call a . quantity that which we consider as having to successively receive several different values, one from the other.作者: assail 時間: 2025-3-29 05:05
Martin Westenfelder,Kay Markus WestenfelderWhen the function . remains continuous between two given limits of the variable .,? and that we assign to this variable a value contained between the two limits in question, an infinitely small increment attributed to the variable produces an infinitely small increment of the function itself.作者: 爭吵加 時間: 2025-3-29 09:59
Martin Westenfelder,Kay Markus WestenfelderLet . always be a function of the independent variable .,? . an infinitely small quantity and . a finite quantity. If we set . . will also be an infinitely small quantity, and we will have identically 作者: Ataxia 時間: 2025-3-29 12:00 作者: 使隔離 時間: 2025-3-29 19:17
1. Bildungsjahr: Fokus Psychiatrie,We have considered in the previous lecture the functions of the variable .,? which, for a particular value of the variable, are presented under the indeterminant form . It often happens that this form is found replaced by one of the following作者: JAMB 時間: 2025-3-29 20:03
,2.?Bildungsjahr: Fokus Psychiatrie,Let . be a function of several independent variables . . We denote by . an infinitely small quantity, and by .the limits toward which the ratios .converge, while . indefinitely approaches zero.作者: Working-Memory 時間: 2025-3-30 01:51 作者: PALMY 時間: 2025-3-30 07:33 作者: agglomerate 時間: 2025-3-30 10:30
DERIVATIVES OF FUNCTIONS OF A SINGLE VARIABLE.When the function . remains continuous between two given limits of the variable .,? and that we assign to this variable a value contained between the two limits in question, an infinitely small increment attributed to the variable produces an infinitely small increment of the function itself.作者: 項目 時間: 2025-3-30 13:01
DIFFERENTIALS OF FUNCTIONS OF A SINGLE VARIABLE.Let . always be a function of the independent variable .,? . an infinitely small quantity and . a finite quantity. If we set . . will also be an infinitely small quantity, and we will have identically 作者: 任命 時間: 2025-3-30 19:26 作者: 思考 時間: 2025-3-30 21:48 作者: A簡潔的 時間: 2025-3-31 04:45
DIFFERENTIALS OF FUNCTIONS OF SEVERAL VARIABLES. PARTIAL DERIVATIVES AND PARTIAL DIFFERENTIALS.Let . be a function of several independent variables . . We denote by . an infinitely small quantity, and by .the limits toward which the ratios .converge, while . indefinitely approaches zero.作者: 得體 時間: 2025-3-31 07:45
DIFFERENTIALS OF ANY FUNCTION OF SEVERAL VARIABLES EACH OF WHICH IS IN ITS TURN A LINEAR FUNCTION OFLet . be constant quantities, and let .be a linear function of the independent variables . The differential .will itself be a constant quantity, and as a result, the differentials . . . will all be reduced to zero. We immediately conclude from this remark that the successive differentials of the functions 作者: groggy 時間: 2025-3-31 09:32
Professor in Aachen (1905–1910)ms of values of . that work to make the total differential in question vanish, must change another total differential of even order into a quantity affected by the sign that maintains the first differential, as long as it does not vanish.作者: 石墨 時間: 2025-3-31 16:28
CONDITIONS WHICH MUST BE FULFILLED FOR A TOTAL DIFFERENTIAL TO NOT CHANGE SIGN WHILE WE CHANGE THE Vms of values of . that work to make the total differential in question vanish, must change another total differential of even order into a quantity affected by the sign that maintains the first differential, as long as it does not vanish.作者: Legend 時間: 2025-3-31 20:34
experience Cauchy‘s original, complete text on calculus.ProThis book is a complete English translation of Augustin-Louis Cauchy‘s historic 1823?text (his first devoted to calculus),?.Résumé?des le.?.ons sur le calcul infinit.é.simal., "Summary of?Lectures on the Infinitesimal Calculus," originally 作者: Encephalitis 時間: 2025-3-31 23:18 作者: preservative 時間: 2025-4-1 03:40
Margret Liehn,Jens K?pcke,Leonid Kasakovent; and, the systems of values of these variables should be sought which render the function . or the function . discontinuous, as well as those which satisfy, whatever the differentials of these same variables, the equation.作者: 令人悲傷 時間: 2025-4-1 07:01
Freundschaft mit Schwarzschild (1909–1916)rtue of the assumption . We conclude (. the tenth lecture) that the systems of values of . which, without rendering discontinuous one of the two functions,?. and .,? generates for the first, a maxima or a minima, and necessarily satisfies, regardless of . the equation ..作者: 傻瓜 時間: 2025-4-1 12:36
THE DIFFERENTIAL OF THE SUM OF SEVERAL FUNCTIONS IS THE SUM OF THEIR DIFFERENTIALS. CONSEQUENCES OF e. If we denote by . . several functions of .,? and by . . the simultaneous increments that they receive while we allow . to grow by . the differentials . . will be, according to their own definitions, respectively, equal to the limits of the ratios 作者: Aura231 時間: 2025-4-1 15:20
USE OF INDETERMINATE FACTORS IN THE STUDY OF MAXIMA AND MINIMA.ent; and, the systems of values of these variables should be sought which render the function . or the function . discontinuous, as well as those which satisfy, whatever the differentials of these same variables, the equation.作者: 通知 時間: 2025-4-1 21:48
USE OF DIFFERENTIALS OF VARIOUS ORDERS IN THE STUDY OF MAXIMA AND MINIMA OF FUNCTIONS OF SEVERAL VARrtue of the assumption . We conclude (. the tenth lecture) that the systems of values of . which, without rendering discontinuous one of the two functions,?. and .,? generates for the first, a maxima or a minima, and necessarily satisfies, regardless of . the equation ..作者: 不發(fā)音 時間: 2025-4-1 23:40 作者: Chameleon 時間: 2025-4-2 05:08
,IMS — ein Beispiel für ein hierarchisches Datenbanksystem,wierig an, da — verst?ndlich aufgrund der historischen Entwicklung — eine Trennung der konzeptuellen von der internen Ebene kaum vorhanden ist; hingegen ist eine Trennung dieser beiden Ebenen von der externen Ebene sehr deutlich zu sehen.
