The following story can be used as a metaphor for the dangers of worldliness. The Sirens were sea nymphs in Greek mythology. They were represented in early Greek art by birds with the heads of women. The Sirens lured approaching sailors by their enchanting singing.… Read more
Doctrine & Covenants 1 [15] For they have strayed from mine ordinances, and have broken mine everlasting covenant. [16] They seek not the Lord to establish his righteousness, but every man walketh in his own way, and after the image of his own god, whose… Read more
See vision of the tree of life in 1 Nephi chapters 8 and 11. 1 Nephi 11 [33] And I, Nephi, saw that he (Jesus Christ) was lifted up upon the cross and slain for the sins of the world. [34] And after he was… Read more
Matthew 16 [24] Then said Jesus unto his disciples, If any man will come after me, let him deny himself, and take up his cross, and follow me. [25] For whosoever will save his life shall lose it: and whosoever will lose his life for… Read more
“Be ye in the world, but not of the world.”This quote does not actually appear in scripture, but it represents the teachings of Jesus and of the prophets and apostles.* * *“Blessed is the man who does not walk in the counsel of the wicked,… Read more
Hezekiah was the King of Judah, from about 715 to 686 BC. He was a righteous king. He removed the idols from the Jerusalem Temple. He also restored worship of the Lord. Isaiah 38 [1] In those days was Hezekiah sick unto death. And Isaiah… Read more
A rocket vehicle behaves as a free-free beam during flight. The vehicle’s body bending modes can be excited by wind gusts, aerodynamic buffeting, thrust offset, maneuvers, etc. Note that the mass and stiffness properties vary along the vehicle’s length. Furthermore, the mass properties change with… Read more
The First Article of Faith of my church is: We believe in God, the Eternal Father, and in His Son, Jesus Christ, and in the Holy Ghost. The Father and Son have glorified bodies. The Holy Ghost is personage of spirit that can dwell in… Read more
This script demonstrates a Matlab anonymous function with variable coefficients. It also performs integration using the quad function, which uses adaptive Simpson quadrature. This example is from an actual engineering problem for beam vibration. L=27.5; beta=4.73004/L; % sigma1=( sinh(beta*L) +sin(beta*L))/(cosh(beta*L) -cos(beta*L)); % core=@(x) ((cosh(beta*x)-cos(beta*x))-sigma1*(sinh(beta*x) -sin(beta*x))).^2;… Read more
Preliminary notes for acoustic waves: c = speed of sound f = frequency k = wavenumber lambda = wavelength r = radius wavelength is equal to the speed of sound divided by frequency lambda = c / f wavenumber is equal to two pi divided… Read more