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Now they could find what really satisfies them and do that.

53+P=n1, j+k+...+T =n3, It will also be a covariant if the symbolic product be factorizable into portions each of which satisfies these conditions.

21For example, the class of rationals whose squares are less than 2r satisfies the definition of a real number; it is the real number A I 2.

23It has been shown above that a covariant, in general, satisfies four partial differential equations.

11Operating with 5l-xidxlwe find S2C 0 =o; that is to say, C ° satisfies one of the two partial differential equations satisfied by an invariant.

11(ii.) If x = a satisfies the equation P = o, then poan+plan-1+.

11x= a satisfies the equation P = o.

11Well, say your father has a German valet, and he is a splendid valet and satisfies your father's requirements better than you could, then it's all right to let him serve.

11A real number is a class (a, say) of rational numbers which satisfies the condition that it is the same as the class of those rationals each of which precedes at least one member of a.

12= 0, we find that, eliminating x, the resultant is a homogeneous function of y and z of degree mn; equating this to zero and solving for the ratio of y to z we obtain mn solutions; if values of y and z, given by any solution, be substituted in each of the two equations, they will possess a common factor which gives a value of x which, corn bined with the chosen values of y and z, yields a system of values which satisfies both equations.

12Magnetic induction, like other fluxes such as electrical, thermal or fluid currents, is defined with reference to an area; it satisfies the same conditions of continuity as the electric current does, and in isotropic media it depends on the magnetic force just as the electric current depends on the electromotive force.

12This suggests that we should write; la as a l l3; and we find that the use of fractional indices in this way satisfies the laws of integral indices.

12If they be willing faithfully to serve it, that satisfies.

00Hence in all there are mn such systems. If, therefore, we have a third equation, and we substitute each system of values in it successively and form the product of the mn expressions thus formed, we obtain a function which vanishes if any one system of values, common to the first two equations, also satisfies the third.

00Each symbol a is associated with its supplement a which satisfies the equivalences a+a = i, aa = o, the latter of which means that a and a have no region in common.

00To the average man there is a distinction between clothing and ornament, the first being regarded as that covering which satisfies the claims of modesty, the second as those appendages which satisfy the aesthetic sense.

00(X.) Hydrostatics Hydrostatics is a science which grew originally out of a number of isolated practical problems; but it satisfies the requirement of perfect accuracy in its application to phenomena, the largest and smallest, of the behaviour of a fluid.

00and as we prove subsequently (§ 37) that the vortex lines are composed of the same fluid particles throughout the motion, the surface m and satisfies the condition of (6) § 23; so that K is uniform throughout the fluid at any instant, and changes with the time only, and so may be replaced by F(t).

00(2) If the actual motion at any instant is supposed to be generated instantaneously from rest by the application of pressure impulse over the surface, or suddenly reduced to rest again, then, since no natural forces can act impulsively throughout the liquid, the pressure impulse W satisfies the equations I do = I d i dos - ax -u, - - y = -v, Pdz = -t, a =p4)-}-a constant, (4) and the constant may be ignored; and Green's transformation of the energy T amounts to the theorem that the work done by an impulse is the product of the impulse and average velocity, or half the velocity from rest.

00It is the religious aspect of it which attracts him, the presentation in God of an object which at once satisfies the feelings and the intellect.

00Then the position of the loads must be that which satisfies the condition greater than less than an Wi+W2+ ..

00Christ suffering on behalf of sinners satisfies the divine righteousness, which was outraged by their sin.'3 His work is an expression of God's love to man; 14 the redeeming power of Christ's death is also explained by his solidarity with humanity as the second Adam," - the redeemed sinner has " died with Christ."

00The Bessel function of order m satisfies the differ ential equation dP 2 -}- p - -}- (I _!!) u =o, and may be expressed as the series 2 l dp 2 2 + 2 -?

00It satisfies the condition, however, equally with logarithms, of enabling multiplication to be performed by the aid of a table of single entry; and, analytically considered, it is not so different in principle from the logarithmic method.

00A more subtle danger to which we are especially liable in the case of a dead language is that of our acquiescing in a sense which satisfies us but which would not have satisfied the ancient writer.

00According to him, we believe in Nature because it satisfies our material needs, and in God because he satisfies our spiritual needs.

00Neither Corinth (as Lightfoot) nor Rome (as Harnack, who assigns it to Bishop Soter, c. 166-174) satisfies all the internal conditions, while the Eastern nature of the external evidence and the homily's quasi-canonical status in the Codex-Alexandrinus strongly favour an Alexandrine origin.

00No European language, it would seem, can even boast of a translation which completely satisfies modern requirements.

00St Mark's narrative of our Lord's ministry and passion is so simple and straightforward that it satisfies our historical sense.

00In this obscure region it is rich in suggestions and rapprochements; but the ingenuity of these speculations attracts curiosity more than it satisfies scientific inquiry.

00But it at least satisfies the requirement that the inquiry shall carry the plain man along with it.

00Hence the only law of force which satisfies the conditions is that of the inverse square.

00Later is a long time off but perhaps I'll take up a profession that satisfies me... write a book, perhaps.

00alphabet soup, which satisfies my requirements best?

00A political solution which satisfies the legitimate aspirations of the Kashmiri people alone can bring to an end the Kashmir conflict.

00It will satisfy Infinity and Choice if the original model of TST satisfies these axioms.

00cloy The appetites they feed, but she makes hungry Where most she satisfies.

00Let's have a balance of shops which satisfies all demands.

00logistic contractor satisfies its own criteria.

00satisfy have a balance of shops which satisfies all demands.

00From the alphabet soup, which satisfies my requirements best?

00Flexibility is a characteristic which satisfies many stakeholders in education.

00If they be willing faithfully to serve it, that satisfies.

00if it contains a complete contract between the parties and satisfies the provisions - to be noted immediately - of the Statute of Frauds, and if, in all the circumstances, its enforcement is just and equitable), the lessee is treated as having a lease for the term fixed in the agreement from the time that he took possession under it, just as if a valid lease had been executed.

00A real number is a class (a, say) of rational numbers which satisfies the condition that it is the same as the class of those rationals each of which precedes at least one member of a.

00For example, the class of rationals whose squares are less than 2r satisfies the definition of a real number; it is the real number A I 2.

00= 0, we find that, eliminating x, the resultant is a homogeneous function of y and z of degree mn; equating this to zero and solving for the ratio of y to z we obtain mn solutions; if values of y and z, given by any solution, be substituted in each of the two equations, they will possess a common factor which gives a value of x which, corn bined with the chosen values of y and z, yields a system of values which satisfies both equations.

00Hence in all there are mn such systems. If, therefore, we have a third equation, and we substitute each system of values in it successively and form the product of the mn expressions thus formed, we obtain a function which vanishes if any one system of values, common to the first two equations, also satisfies the third.

00+P=n1, j+k+...+T =n3, It will also be a covariant if the symbolic product be factorizable into portions each of which satisfies these conditions.

00It has been shown above that a covariant, in general, satisfies four partial differential equations.

00Operating with 5l-xidxlwe find S2C 0 =o; that is to say, C Ã‚° satisfies one of the two partial differential equations satisfied by an invariant.

00Magnetic induction, like other fluxes such as electrical, thermal or fluid currents, is defined with reference to an area; it satisfies the same conditions of continuity as the electric current does, and in isotropic media it depends on the magnetic force just as the electric current depends on the electromotive force.

00This suggests that we should write; la as a l l3; and we find that the use of fractional indices in this way satisfies the laws of integral indices.

00(ii.) If x = a satisfies the equation P = o, then poan+plan-1+.

00x= a satisfies the equation P = o.

00Each symbol a is associated with its supplement a which satisfies the equivalences a+a = i, aa = o, the latter of which means that a and a have no region in common.

00To the average man there is a distinction between clothing and ornament, the first being regarded as that covering which satisfies the claims of modesty, the second as those appendages which satisfy the aesthetic sense.

00(X.) Hydrostatics Hydrostatics is a science which grew originally out of a number of isolated practical problems; but it satisfies the requirement of perfect accuracy in its application to phenomena, the largest and smallest, of the behaviour of a fluid.

00and as we prove subsequently (§ 37) that the vortex lines are composed of the same fluid particles throughout the motion, the surface m and satisfies the condition of (6) § 23; so that K is uniform throughout the fluid at any instant, and changes with the time only, and so may be replaced by F(t).

00(2) If the actual motion at any instant is supposed to be generated instantaneously from rest by the application of pressure impulse over the surface, or suddenly reduced to rest again, then, since no natural forces can act impulsively throughout the liquid, the pressure impulse W satisfies the equations I do = I d i dos - ax -u, - - y = -v, Pdz = -t, a =p4)-}-a constant, (4) and the constant may be ignored; and Green's transformation of the energy T amounts to the theorem that the work done by an impulse is the product of the impulse and average velocity, or half the velocity from rest.

00It is the religious aspect of it which attracts him, the presentation in God of an object which at once satisfies the feelings and the intellect.

00Then the position of the loads must be that which satisfies the condition greater than less than an Wi+W2+ ..

00Christ suffering on behalf of sinners satisfies the divine righteousness, which was outraged by their sin.'3 His work is an expression of God's love to man; 14 the redeeming power of Christ's death is also explained by his solidarity with humanity as the second Adam," - the redeemed sinner has " died with Christ."

00The Bessel function of order m satisfies the differ ential equation dP 2 -}- p - -}- (I _!!) u =o, and may be expressed as the series 2 l dp 2 2 + 2 -?

00It satisfies the condition, however, equally with logarithms, of enabling multiplication to be performed by the aid of a table of single entry; and, analytically considered, it is not so different in principle from the logarithmic method.

00A more subtle danger to which we are especially liable in the case of a dead language is that of our acquiescing in a sense which satisfies us but which would not have satisfied the ancient writer.

00This act provides that where proceedings are taken in any court by a money-lender for the recovery of money lent, and there is evidence which satisfies the court that the interest charged on the loan, or the amounts charged for expenses, inquiries, fines, bonus, premium, renewals, &c., are excessive, and that in either case the transaction is harsh and unconscionable, or is otherwise such that a court of equity would grant relief, the court may reopen the transaction and take an account between the money-lender and the person sued, and may, notwithstanding any statement or settlement of account or any agreement purporting to close previous dealings and create a new obligation, reopen any account already taken between them and relieve the person sued from payment of any sum in excess of the sum adjudged by the court to be fairly due in respect of such principal, interest and charges as the court, having regard to the risk and all the circumstances, may adjudge to be reasonable: The Money-lenders Act of 1900 was passed in consequence of grave abuses which had arisen.

00According to him, we believe in Nature because it satisfies our material needs, and in God because he satisfies our spiritual needs.

00Such a view satisfies neither of his interlocutors.

00Neither Corinth (as Lightfoot) nor Rome (as Harnack, who assigns it to Bishop Soter, c. 166-174) satisfies all the internal conditions, while the Eastern nature of the external evidence and the homily's quasi-canonical status in the Codex-Alexandrinus strongly favour an Alexandrine origin.

00No European language, it would seem, can even boast of a translation which completely satisfies modern requirements.

00St Mark's narrative of our Lord's ministry and passion is so simple and straightforward that it satisfies our historical sense.

00In this obscure region it is rich in suggestions and rapprochements; but the ingenuity of these speculations attracts curiosity more than it satisfies scientific inquiry.

00But it at least satisfies the requirement that the inquiry shall carry the plain man along with it.

00Hence the only law of force which satisfies the conditions is that of the inverse square.

00"Philosophy excites and only half satisfies the appetite for truth; I.

00Flexibility is a characteristic which satisfies many stakeholders in education.

00Beatrix Potter: The story of Peter Rabbit satisfies both girls and boys.

00A cat tree satisfies all these natural instincts.

00A solid inventory of hard liquor and mixers satisfies multiple tastes and can be combined for a wide variety of easy mixed drinks.

00Only by communicating can the primary issues in a relationship reach a resolution that satisfies both parties.

00For smart shopping that satisfies moms, dads and kids, this brand is a great choice.

00You'll likely have to write out exactly what you learned, where you learned it, when you did and explain how it satisfies course requirements.

00A collared shirt, trousers and a jacket or sports coat satisfies this look.

00Today, the internet makes it easier than ever before to find quality kosher organic beef that satisfies both the religious and social aspects of beef purchases.

00While getting a bargain at a local thrift store or yard sale is gratifying, sometimes the only thing that satisfies a new-clothes craving is a spanking new garment.

00Round Nose Pads: With no less than five different models in this category, some of which are made out of titanium, you are sure to find a pair that satisfies even the most discriminating of palettes.

00Flatout is an above average racing/destruction game that satisfies you most of the time.

00It's a bright and easy quaffing red that satisfies.

00Companies and resellers often run promotions on the latest gadgets for cell phones, so finding a great deal not only satisfies your wallet, it quenches your thirst for new technology.

00The hair cleanser you choose can be as individualized as your hair type and the process of finding one that satisfies your hair needs is made that much easier by the wide variety of products that are currently on the market.

00The tax lien can be removed from the property if the property owner satisfies his taxes due, which often includes fees and interest, or the IRS accepts a bond submitted by the property owner agreeing to pay the debt.

00Additionally, the Florida Association of Mortgage Professionals (formerly Florida Association of Mortgage Brokers) offers a comprehensive course that satisfies the 24 hour licensing requirement.

00It fits in well with our world of convenience and yet still satisfies the desire to create and be crafty.

00Sangean RCR-1: With incisively synchronized digital and analog time displays, this clock satisfies everyone's preferences.

00It dazzles the eye with a brilliant blue dial and satisfies the tech geek with an array of professional attributes.

00Navy Below Zero: Fashioned from stainless steel, the Below Zero line satisfies a desire for functionality, but the real treat is the package itself.

00Akula Reserve: With 21 models for gentlemen of all tastes, the Akula reserve for sports satisfies.

00In it, the owner discusses what marketplace demands the company satisfies and how long they anticipate being able to do so.

00Some of the tips are a bit questionable such as the one that suggests you should have chocolate cake for breakfast, which satisfies a sweet tooth, but more effectively, gives you all day to burn it off.

00This form of insurance satisfies your insurance obligation to your state of permanent residence.

00This paragraph satisfies the legal requirement for doctors and staff to have parental permission to perform any medical procedures on a minor.

00It also satisfies the requirement of any hospital that requires a parent or guardian to assume responsibility for payment before certain medical procedures may be performed.

00This track from his his first solo album (the album is entitled Jarvis) simultaneously satisfies your Pulp cravings while being different enough to keep it interesting.

00Such a view satisfies neither of his interlocutors.

01"Philosophy excites and only half satisfies the appetite for truth; I.

01