Letter from John Van Vleck to Albertus C. Van Raalte

A letter of John Van Vleck to A.C.V.R. who is on a trip in the East. The academy building is under construction but rains have held up the making of bricks. The building will not be finished before the first of November. Van Vleck has his troubles but he does not envy A.C.V.R. in his fundraising efforts. C. Vander Meulen has preached at First Reformed and Pieter Oggel is preaching next Sunday. Zwemer, De Lyster & Pieters are to take turns in preaching at Vriesland...https://digitalcommons.hope.edu/vrp_1850s/1008/thumbnail.jp

A Letter from John Van Vleck to A. C. V. R.

A letter from John Van Vleck to A.C.V.R., responding to A.C.V.R.\u27s letter of the 16th. More on business matters. The spirit is cordial.https://digitalcommons.hope.edu/vrp_1860s/1037/thumbnail.jp

Letter from John Van Vleck to Albertus C. Van Raalte

A letter of John Van Vleck to A.C.V.R. who had been in Geneva and Albany from which places A.C.V.R. had written Van Vleck. The building of the academy is very dependent on A.C.V.R.\u27s fundraising ability. Funds are running low; $1,579.96 has been expended so far. Schrader is at work for us again.https://digitalcommons.hope.edu/vrp_1850s/1010/thumbnail.jp

The Traveling & Begging Guide Prepared for A. C. Van Raalte

The Traveling & Begging Guide prepared for A. C. Van Raalte when he went on a fund raising trip to New York and New Jersey for the Academy building, later called Van Vleck Hall. He is given clear directions as to where he must travel and whom he should visit. The writer of the guide is not identified. However, judging from a September 1, 1856, letter of John Van Vleck to A.C.V.R., the handwriting of Van Vleck is very similar to the handwriting of this document. A letter of introduction to prospective donors by Dr. Thomas De Witt is appended to the traveling guide.https://digitalcommons.hope.edu/vrp_1850s/1333/thumbnail.jp

Letter from John Van Vleck to A. C. Van Raalte

A long, nine-page letter of John Van Vleck to A.C.V.R., in which Van Vleck outlines his grievances with A.C.V.R. A.C.V.R. had accused him of abusing his countrymen in my writings.- Van Vleck denies the charge although he admits he does not like a few of them. Van Vleck also had to clarify Academy finances. Wynand Wichers refers to this letter in A Century of Hope, pp. 50-52. This is an important document. Unfortunately, the letter is not in good condition and parts of it are missing.https://digitalcommons.hope.edu/vrp_1850s/1111/thumbnail.jp

Letter from John Van Vleck to A. C. V. R.

A letter from John Van Vleck to A.C.V.R. on business matters. The Academy still owed Van Vleck money for his services in the amount of $956.10. Van Vleck is writing in a formal style.https://digitalcommons.hope.edu/vrp_1850s/1125/thumbnail.jp

A Letter of John Van Vleck to A. C. V. R.

A letter of John Van Vleck to A.C.V.R. Van Vleck purchased some textbooks for the academy and is raising funds for the academy. He hoped to contact [James A. H.] Cornell; he has been in contact with Rev. Garretson of the board. He bargained a bit with A.C.V.R. telling him that he, Van Vleck, had a job offer in New Jersey for a salary of $1200 to$1500 plus a rent-free home. Therefore, he would like as raise of $100, asking for$900 instead of getting $800.https://digitalcommons.hope.edu/vrp_1850s/1344/thumbnail.jp

The Traveling & Begging Guide of Rev. Albertus C. Van Raalte

The Traveling & Begging Guide of Rev. Albertus C. Van Raalte when he went on fund-raising trips to New York and New Jersey to raise money for the academy building, later known as Van Vleck Hall. He is given clear directions as to where he must travel and whom he should visit. The writer of instructions in the guide is not identified. However, judging from a 1 September 1856 letter of John Van Vleck to Van Raalte, the handwriting of Van Vleck is similar to the handwriting in this document. A letter of introduction to prospective donors by Dr. Thomas De Witt is appended to the traveling guide.https://digitalcommons.hope.edu/vrp_1850s/1372/thumbnail.jp

Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice

This is the published version, also available here: http://dx.doi.org/10.1137/S0036139996312703.We consider infinite systems of ODEs on the two-dimensional integer lattice, given by a bistable scalar ODE at each point, with a nearest neighbor coupling between lattice points. For a class of ideal nonlinearities, we obtain traveling wave solutions in each direction $e^{i\theta}$, and we explore the relation between the wave speed c, the angle $\theta$, and the detuning parameter a of the nonlinearity. Of particular interest is the phenomenon of "propagation failure," and we study how the critical value $a=a^*(\theta)$ depends on $\theta$, where $a^*(\theta)$ is defined as the value of the parameter a at which propagation failure (that is, wave speed c=0) occurs. We show that $a^*:\Bbb{R}\to\Bbb{R} is continuous at each point$\theta$where$\tan\theta$is irrational, and is discontinuous where$\tan\theta$ is rational or infinite